2017 10 2 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 93 93 92 92 93 92 92 93 94 93 93 92 90 88 85 83 81 81 81 82 82 82 83 83 82 82 83 83 84 84 83 83 83 82 82 83 83 84 83 82 84 87 89 88 89 89 89 90 90 91 90 91 92 92 92 93 92 93 92 92 92 92 94 94 95 95 96 95 95999999999999999999999999999999999999999999999999999999999999999999999103104104104104105105105105105105999999999104104103103103103103102102102102999999999102102102102102103103103103103103103103103103103102102102102101101100100 99 99 98 98 97 96 95 94 94 94 93 93 93999 93 93 94 94 94 94 95 95 95 95 96 96 96 97 97 98 98 98 99 99 99 99 99100100100100101101101101101102102102102102102102102102102102102102102102102102102102102102102102102102102102102102102102102102102102102102102102101101101100100100 99 99 99 98 98 98 97 97 97 96 96 96 95 95 94 94 94 93 93 93 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 82 83 87 89 93 95 91 93 91 91 92 92 91 90 88 88 85 83 80 79 79 79 81 80 82 83 83 83 83 84 85 85 85 84 85 84 82 81 82 82 82 82 81 85 88 90 91 91 91 91 91 90 91 91 91 91 91 93 93 93 93 94 93 92 93 95 95 94 94 95 95999999999999999999999999999999999999999999999999999999999999999999102103104104104105105105106106106106106999999104104104104103103103102102102102999999102102102102102102103103103103103103104104104104104104104103103103103102102101101100 99 99 98 97 97 96 96 95 95 95 95 94 95 95 95 95 95 96 96 96 96 97 97 97 97 98 98 98 99 99 99 99 99100100100100100100100101101101101102102102102102102103103103103103103103103103102102102102102102102102102102102102102102103103103103102102102102102102101101101100100100 99 99 99 98 98 97 97 97 97 96 96 95 95 95 94 94 93 93 93 93 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 91 92999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 82 85 89 95 97 96 94 92 92 92 93 91 87 86 86 85 83 80 78 76 76 78 78 79 81 85 85 85 85 85 86 86 85 83 83 83 84 84 84 83 82 81 82 86 89 90 91 92 92 92 91 91 91 91 92 91 92 92 93 93 94 94 93 92 92 93 93 94 94999999999999999999999999999999999999999999999999999999999999999999102103103104105105105105106106106106106106106105105105104104104103103103102102102102102102102102102103103103103103103103103104104104105105105105105105105104104104103103102101101100 99 99 98 98 97 97 97 97 96 96 96 96 96 97 97 97 97 98 98 98 98 98 99 99 99 99 99 99100100100100100100100100100100101101101101101102102102102103103103103103103103103103103103103103102102102102102102102102103103103103103103103102102102102102102101101101100100 99 99 99 98 98 98 97 97 97 96 96 96 95 95 94 94 94 93 93 93 92 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 87 88 88 92 90 89 89 88 87 85 83 84999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 80 88 90 94 96 97 94 93 93 92 92 92 86 83 84 83 80 78 76 76 76 77 79 81 82 83 85 85 84 83 84 84 82 82 83 84 83 85 84 84 84 84 84 86 87 89 90 91 92 93 93 92 92 91 93 92 93 92 92 92 92 92 93 91 90 91 92999999999999999999999999999999999999999999999999999999999999999999999999999104105105106106106106106106106106106106106105105105104104104104103103103103102102102102102102102102103103103103103103103103104104104104105105105105105105105105104104103102102101101100100 99 99 98 98 98 98 97 98 98 98 98 98 98 98 99 99 99 99 99 99 99100100100100100100100100100100100100100101101101101101102102102103103103103103103103104104104103103103103103103103103103103103103103103103103103103103103102102102102102101101101100100100 99 99 98 98 98 97 97 97 97 96 96 96 95 95 94 94 94 93 93 93 93 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 87 84 87 91 89 87 85 85 85 84 82 82 84 83 82999999999 80 86 85 89 91 93999999999999999999999999999999999999999999999999999999999999999999999999999999 78 85 79 81 93 84 97 95 94 93 92 93 92 86 83 81 82 79 77 76 76 76 78 79 80 82 84 84 86 84 82 83 82 83 83 83 83 84 84 84 84 85 85 84 84 86 87 89 90 90 90 91 91 92 92 92 92 91 91 92 91 93 93 93 92999999999999999999999999999999999999999999999999999999999999999999999999999999104105105106106107106106106106106106106106106106105105105104104104104103103103102102102102102102102102102103103103103103103103103103104104104104105105105105105105105105104104103103102102101101100100100100 99 99 99 99 99 99 99 99 99100100100100100100100100100100100100100100100100100100100100100101101101101102102102102103103103103104104104104104104104104104104103103103103103103103103103103103103103103103103102102102101101101101100100 99 99 99 98 98 98 97 97 97 97 97 96 96 96 95 95 95 94 94 94 93 93 93 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 98 99999999999999999999999999999999999999999999999999999999999999999 85 85 85 88 87 86 87 88 87 86 81 81 82 81 83 82 82 81 82 81 80 80 81 84 84 85 88 88 89 92999999999999999999999999999999999999999999999999999999999999999999999999 76 87 78999999999999999999 95 92 93 93 89 86 82 81 78 75 76 75 76 79 80 81 84 84 86 86 86 86 87 86 85 85 85 85 86 85 85 85 85 86 86 86 87 88 89 89 90 90 91 90 91 91 90 91 92 92 94 93 94 94 92999999999999999999999999999999999999999999999999999999999999999999999999999999999105106104104107107107106106106106106106106105105105105104104104104103103103102102102102102102102102102102103103103103103103103103103103104104104104105105105105105105105105104104104103103103102102101101101101101100100100100100100101101101101101101101100100100100100100100100100100100100100100100101101101101102102102103103103103104104104104104104104104104104104104104103103103103103103103103103103103103103102102102101101101101100100 99 99 99 98 98 98 97 97 97 97 97 96 96 96 96 95 95 95 94 94 94 94 94 93 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 98999999999 95 94 95 94 91 91 94 92 90 93 93 96 96 96 97 97 97 96 95 95 96 96 92999999999999 92 96 96 95 94 95 96 97999999999999999999999 89 89 87 87 87 87999999999 85 85 85 88 87 87 85 85 85 86 83 83 83 85 84 83 81 80 80 80 81 83 81 85 84 87 89 87 88 90999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 83 92 94 88 86 81 83 79 75 75 75 77 79 80 82 84 85 87 87 88 88 87 86 86 86 85 86 86 85 84 85 84 86 87 87 86 88 89 89 90 91 91 89 88 91 90 91 91 94 93 93 94 93999999999999999999999999999999999999999999999999999999999999999999999999999999999999999106104104106109110111110106106105105105105105105104104104104103103103103102102102102102102102102102102102102103103103103103103103103103104104104104105105106106106106105105105105104104104103103103102102102102102102102102102102102102102102102101101101101101100100100100100100100100100100100100100101101101102102102103103103104104104104104104104104104104104104104104104104104103103103103103103103103103102102102101101101100100100 99 99 98 98 98 97 97 97 97 96 96 96 96 96 96 96 95 95 95 95 94 94 94 94 94 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999100 99100 99 98100 99 98 96 96 96 95 95 93 94 94 93 92 95 96 95 96 96 95 96 96 95 95 95 95 97 94999999999999 93 95 96 95 95 95 96 96 97 98 95 95 94 93 91 90 89 89 88 86 86 88999 87 85 85 85 85 86 85 83 82 84 85 85 85 85 86 85 84 81 81 82 81 79 78 79 83 84 84 86 87 93 89 91 80 85 85 84999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 82 93 85 78 77 80 74 76 76 77 78 80 83 83 85 86 89 91 91 90 87 86 87 87 87 86 86 86 85 84 85 85 86 86 86 87 88 89 89 89 88 89 88 90 92 93 92 93 92999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999106107104106107109110111110109108106107105105105105105104104104103103103103102102102102102102102102102102102102102102102102102102102102102103103103104104105105105106106106106106106105105105105105104104104104104103103103103103103103103103103103103102102101101101100100100100 99 99 99 99 99 99100100100100101101101102102103103103103104104104104104104104104104104104104104104104104104103103103103103103103102102102101101100100 99 99 99 98 98 97 97 97 97 96 96 96 96 96 96 96 96 96 96 95 95 95 95 95 95 95 94 94 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999104101101102101 99101101101101100 97 95 94 94 94 95 94 94 92 92 93 94 94 95 94 95 94 94 94 96 95 94 95 95 94 92 93 93 93 93 94 94 94 94 94 95 94 95 94 94 94 92 91 91 91 90 89 88 87 85 86 86 86 85 86 85 85 82 81 81 81 82 81 82 84 85 86 85 83 82 82 82 81 79 75 75 75 76 76 77 81 81 81 82 78 81 80999999999999999999999999999999999999 71 69 68 71 72999999999999999 75 72 73 74 76 78 79 79 80 82 83 77 75 76 76 76 78 78 78 78 79 82 85 88 89 91 91 90 89 88 87 87 87 86 86 87 87 86 86 87 88 88 87 87 87 87 87 88 89 88 89 91 92 94 94 93999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999107107107104105107109111109109108107106105999999105105105104104104104104103103103103102102102102102102102102102103103103103103103102102102103103103103104104104105105105105105105105105105105105105104104104104104104104103103103103103103103103103103103102102101101101101100100100 99 99 99 99 99 99100100100101101101102102103103103104104104104104104104104104104104104104104104104104104104104104103103103103103102102102101101100100 99 99 99 98 98 97 97 97 97 96 96 96 96 96 96 96 96 96 96 95 95 95 95 95 95 95 94 94 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999102103102101101102101101 98100100100 97 96 93 91 90 92 94 93 92 90 90 90 92 91 90 91 92 93 93 93 93 92 91 93 94 93 91 92 91 92 92 92 92 92 92 94 93 93 94 94 93 93 93 93 92 91 90 90 89 89 86 86 85 85 84 83 82 83 83 81 83 82 82 82 81 78 81 84 84 81 80 79 79 79 70 72 73 73 78999999999999999999999999999999999999999999999999999999 69 69 70 70 71 71 71 71 70 73 74 71 71 70 70 73 72 73 76 79 78 78 78 78 76 73 77 75 75 75 77 77 78 81 85 87 90 92 93 92 90 89 89 89 89 88 87 87 88 88 88 87 87 88 88 87 87 86 88 88 89 88 90 91 92 94 97 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999107107108108105105106110110109108107999999999999999999102102102103105105104104104103103103103103103103103103103103103103103103103103103103103103103103103103104104104104105105105105105105105104104104104104104104104104104103103103103103103103103103103103102102102101101101100100100 99 99 99100100100100100101101101102102103103103104104104104104105105105105105104104104104104104104104104104104104104104103103103103102102101101100100 99 99 99 98 98 97 97 97 97 96 96 96 96 96 96 96 96 96 96 95 95 95 95 95 95 95 94 94 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 99 99102102102101 99 99 97 97 94 95 96 95 92 91 90 89 88 88 90 90 89 88 87 87 88 87 86 86 87 87 87 88 88 89 89 89 89 90 89 88 88 88 90 89 89 89 91 93 92 92 92 93 92 90 90 91 90 90 90 90 90 89 87 89 88 88 88 88 86 85 86 85 83 82 81 82 79 78 77 82 80 80 78 77 70 70 70 69 71 73 71 76999999999999999999999999 76 71 73 73 74999999999 73 71 72 72 72 72 71 71 70 69 70 73 70 69 69 69 69 72 73 72 74 75 77 78 82 83 80 79 79 77 75 79 79 80 85 88 90 92 93 93 92 91 89 89 88 89 88 88 89 89 89 89 87 88 89 88 88 89 89 89 90 92 90 90 91 95 96 97 92999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999107108107109108110109110106106999999999999999999999999105101102104105106107107104104104104103103103103103103103103103103103103103103103103103103103103103103103104104104104104104104104104104104104104104104104104104104104104103103103103104103103103103103102102102101101101100100100 99100100100100100100101101101102102102103103104104104104105105105105105105105105104104104104104104104104104104104104104104103103103102102101101100100 99 99 99 98 98 97 97 97 97 96 96 96 96 96 96 96 96 96 96 95 95 95 95 95 95 95 95 94 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999100101102101100 98 96 95 94 93 92 91 91 90 88 88 87 88 86 86 89 88 87 86 85 85 85 85 86 86 87 88 88 88 88 88 89 90 89 88 87 87 88 87 87 87 88 87 88 88 89 90 89 91 90 89 88 87 88 87 88 88 89 89 88 89 89 89 89 89 88 87 86 84 83 82 79 79 83 82 80 90 80 79 78 86 82 70 74 72 68 72 68 67 68 67 65999 69 68 67 69 69 71 75 73 77 75 75 74 76 72 72 69 69 68 67 68 67 66 67 67 66 67 68 71 73 77 74 72 76 76 78 85 84 82 83 81 82 84 86 86 85 84 88 89 92 94 95 95 95 93 93 92 90 90 91 89 88 90 89 88 87 88 89 88 89 91 91 91 92 93 91 90 95 96 98 93999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999108109107106108109111111111107106999999999999999999100 99100101102103105106107107106105104105105104104104104104104103103104103103103103103103103103103103103103103103103103103103103103103104104104104104104104104104104104104104104104104104104104104103103103103102102102101101101100100100100100100100100100100101101102102102103103104104104104105105105105105105105105105105105104104104104104104104104104104104104103103103102102101101100100 99 99 99 98 98 97 97 97 97 96 96 96 96 96 96 96 96 96 95 95 95 95 95 95 95 95 95 94 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999100 98100100 99 99 97 96 94 92 91 91 90 90 90 89 89 88 88 88 85 85 85 85 85 85 86 85 86 87 88 86 87 88 89 89 90 91 90 89 88 89 89 89 89 88 88 89 89 89 89 89 88 89 89 88 88 89 87 86 85 87 89 90 90 89 90 90 91 91 89 89 87 86 85 85 84 84 85 86 83 85 83 82 80 78 79 78 73 71 71 67 68 68 67 65 64 66 65 66 68 68 69 69 70 72 73 72 73 74 78 73 74 70 70 71 67 67 67 66 64 65 65 66 68 74 76 74 75 76 78 80 79 81 83 85 85 86 86 90 90 92 91 90 88 88 91 93 93 93 94 95 95 94 94 94 94 92 91 91 89 91 89 89 89 89 89 92 91 92 93 93 93 94 96 95 95100 94999999999999999999999999999999999999999999999999999999999999999999999999999999999999999106109108109108108108109110109107107999999999105 99101100100100100104106106106107107107107106106105106105105105105104104104104104104104104103103103103103103103103103103103103103103103103103103103103103103103104104104104104104104104104104104104104104104103103103103103102102101101101100100100100100100100100100101101102102102103103104104104105105105105105105105105105105105105105105104104104104104104104104104104104103103103102102101101100100 99 99 99 98 98 97 97 97 97 96 96 96 96 96 96 96 96 96 95 95 95 95 95 95 95 95 95 94 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 96 99102 99100 97 95 94 93 90 90 90 88 89 89 88 87 88 87 89 87 86 86 87 85 85 85 86 86 88 88 88 88 90 90 92 91 91 92 92 92 91 90 91 91 91 91 90 90 90 90 90 90 90 91 92 91 90 92 90 89 87 87 88 90 89 88 89 90 92 93 92 92 91 90 90 91 90 88 88 89 89 87 85 84 83 81 82 79 76 74 75 73 71 71 67 66 67 68 69 69 68 71 71 70 70 71 71 73 75 76 77 78 71 74 68 68 65 68 69 69 68 69 74 76 75 76 77 76 79 80 82 82 86 87 92 90 87 89 90 92 93 92 92 91 93 94 94 95 96 97 96 97 97 97 96 95 95 93 92 90 91 93 92 93 93 94 95 93 94 93 92 95 94 96100 99 97 94999999999999999999999999999999999999999999999999999999999999999999999999999999999999999108109109109109109108107107107107107104999 97100 99 99101101102103104105106106106108107107107107105105105105105105104104103105104104104104103103103103103103103103103103103103103103103103103103103103103103103103103104104104104104104104104104104104104104104103103103103103102102102101101101101100100100100100100101101101102102102103103103104104104104105105105105105105105105105104104104104104104104104104104104104104104103103103102102101101100100 99 99 99 98 98 98 97 97 97 97 97 96 96 96 96 96 96 96 96 96 96 95 95 95 95 95 95 95 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999101102100 99101100 99 96 95 93 92 90 88 89 89 89 88 88 89 88 90 90 89 89 89 89 87 89 89 87 89 90 90 91 91 93 93 94 94 95 96 95 95 95 94 94 94 94 94 93 90 90 92 93 92 91 92 93 93 94 94 93 92 91 90 89 90 91 90 89 90 92 93 93 93 93 94 94 92 92 93 93 92 91 90 89 88 87 85 83 84 82 79 79 78 77 75 73 74 73 71 73 73 73 75 75 76 75 75 76 78 82 83 83 83 75 72 71 67 64 69 73 75 72 76 78 78 80 79 78 79 81 83 86 89 92 93 93 95 91 92 94 94 93 94 94 95 96 95 95 97 97 97 97 98 98 97 96 96 96 95 97 97 98 99100 99 95 98 98 94 95 94 92 94 95100101 93999999999999999999999999999999999999999999999999999999999999999999999999999999999999999105106107108107108108107107107105105105102100100100100101102102102103105105105106107107107106106106106105106105105103105105106105105104106105104104103103103103103103103103103103102102102102102102102103103103103103103103104104104104104104104104104104104104104104104103103103103103102102102101101101101100100101101101101101102102102103103103103104104104104104105105105105104104104104104104104104104104104104104104104104104104103103103102102101101100100 99 99 99 98 98 98 98 97 97 97 97 97 97 96 96 96 96 96 96 96 96 96 96 95 95 95 95 95 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999102100 97102100106103101 98 97 97 96 95 94 92 91 89 90 89 91 91 92 93 94 93 92 91 93 92 93 93 90 92 90 91 91 91 93 93 94 94 95 96 96 96 96 96 97 95 96 96 95 95 95 93 94 93 93 93 92 93 94 94 95 95 95 95 95 93 92 92 92 92 92 93 92 92 93 92 93 94 94 92 94 94 94 94 94 94 95 92 91 91 89 89 88 85 81 80 80 79 77 81 79 75 75 76 76 75 77 77 77 79 78 77 78 78 77 76 76 75 75 74 74 76 77 82 79 81 83 85 87 87 86 87 88 88 90 93 93 93 94 95 95 95 96 93 95 97 97 97 96 96 96 97100 99 98 97 98 97 99 97 96 96 98100 99 98 98100 98 97 94 93 92 91 93 99100100999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999108108109109109108107108106105104100100100100100101100102103104104104105105106106106106106106105105106105106106105106105106105106106106107105105107107107107103103103103103103102102102102102102102102103103103103103103104104104104104104104104104104104104104104104104104103103103103103102102102102101101101101101101101101102102102103103103103104104104104104104104105104104104104104104104104104104104104104104104104104104104103103103102102102101101100100 99 99 99 99 98 98 98 98 97 97 97 97 97 97 97 97 97 97 96 96 96 96 96 96 95 95 95 95 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999105105103101 99101100100 99 96 94 94 93 93 93 93 92 92 91 90 91 92 91 93 93 93 94 94 93 93 93 94 93 93 93 93 93 93 94 95 97 95 96 98 98 99 98 98 97 96 96 97 97 96 95 95 94 93 94 93 94 94 96 96 96 97 97 96 96 96 95 95 95 95 94 93 94 93 94 93 94 94 94 94 96 97 97 97 97 98 97 97 96 95 94 94 91 90 88 86 84 82 82 82 82 79 80 79 79 78 78 79 79 80 80 81 81 79 77 77 78 78 81 81 83 83 84 86 85 85 86 91 93 92 92 92 93 93 94 95 95 95 95 95 95 96 95 95 95 97 97 96 97 96 98 98 99 99 99 99 99100100101101100101100 98 97 98 99 95 93 89 91 94 93 95 99 92999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999108110111112111109109107107105103101 99101100101100101102102103103104104104105106107107106106106106106106105106105106106106105105106107107108108108107104104103105102103103103103102102102102102102102102103103103103103103104104104104104104104104104104104104104104104104104104104103103103103103102102102102101101102102102102102102103103103103103104104104104104104104104104104104104104104104104104104104104104104104104104104103103103103102102101101101100100 99 99 99 99 98 98 98 98 98 98 98 97 97 97 97 97 97 97 97 97 97 96 96 96 96 95 95 95 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999102104103106105104100 98 98 96 96 94 94 94 92 93 92 92 92 92 93 93 92 92 93 90 91 93 94 94 94 94 95 95 95 96 97 97 95 96 98 97 96 98 99 99100 99101 99 98 97 96 97 96 95 96 95 95 95 95 93 94 95 96 97 98 98 97 97 97 98 97 97 97 97 96 96 96 95 96 95 95 94 95 96 95 97 97 98 98100 99101 98 99100 97 95 94 89 89 87 87 86 84 83 84 84 85 84 83 84 85 84 83 82 82 83 81 80 79 81 83 84 85 88 87 90 91 90 91 93 95 96 95 97 99 97 95 96 97 96 96 97 95 97 96 96 97 96 97 97 97 96 98 99 99100 98 98 99101101100105105104103102101 99 97 94 92 92 93 95 96 93999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999109111111112113111109109107105103102102102101102103102101103102104104104105105106107107106106107107106106105105105105105106105106107107107107105105107107105104103103103103103104103103102102102102102102102103103103103103103104104104104104104104104104104104104104104104104104104104104103103103103103103102102102102102102102103103103103103103104104104104104104104104104104104104104104104104104104104104104104104104104104104103103103103103102102101101101100100 99 99 99 99 99 98 98 98 98 98 98 98 98 98 98 98 98 97 97 97 97 97 96 96 96 96 95 95 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999105102105103102101 99 97 96 95 95 95 95 94 93 94 95 94 93 94 93 93 92 92 92 92 91 92 94 94 92 92 94 94 97 97 97 98 99 98 98 99 98 99100101100101102102101 99100 99 99 98 97 97 96 96 97 96 96 96 97 98 98 98 99 99100 99 99 99 99 99 99 99 98 98 97 97 97 97 97 98 96 97 97 97 98 99101101102101101101102101 98 93 91 92 93 92 88 87 87 88 89 90 90 90 87 85 86 86 85 86 85 86 88 87 88 91 92 95 94 95 95 95 96 97 98 97 99100101101101102102101101100101 99 98 99 98 99 99 97 96 96 98 99 99 98 98 99102101103102102104105100103101 99 97 94 91 92 94 95999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999109109111112112110109109106103102102101102101103103103103104103103103104105106106106104104104104104105104104105104105104104106106106106106107103103104101103103102103102103101102103104104103103103103103103103103103103103104104104104104104104104104104104104104104104104104104104104104104104103103103103103103103103103103103103103103103103104104104104104104104104104104104104104104104104104104104104104104104104104104104104103103103103102102102101101101100100100 99 99 99 99 99 99 98 98 98 98 98 98 98 98 98 98 98 97 97 97 97 96 96 96 95 95 95 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999102103102101 98 98 96 94 93 94 94 94 94 93 93 95 95 94 96 96 95 93 92 91 93 93 92 95 94 94 96 97 96 95 97 98 98100101100101102101100102102102103103102102102101100100100100 99 98100100 99 99 99 99100100100100100101102101101101101101101100100100100100 99 99 99 99 99 99100100101102103104103104103104102 98 97 96 95 96 96 94 92 91 91 92 93 93 93 93 91 91 90 90 90 90 92 92 93 94 95 96 98 98 97 98 97100 99100101102103103103101104103103103103102101 99 99 99100 98 98 97 96 95 97 97 97 99101103103103101103104103100100 99 99 95 93 91 98999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999107108109110110110109109107105104103101101102102102103104104103103103104104106105105104104103102104103104104104103103103104105105105104104103104102102104104102102103104104104103104102105106104105103103103103103103104104104104104104104104104104104104104104104104104104104104104104104104104104104104103103103103103103103103103103103104104104104104104104104104104104104104104104104104104104104104104104104104104104104104103103103103103102102102101101101100100100100 99 99 99 99 99 99 99 99 99 98 98 98 98 98 98 98 97 97 97 97 96 96 95 95 95 94 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999104104104100 99 97 98 95 93 94 93 93 92 92 94 93 95 96 95 95 96 95 93 93 94 93 93 93 92 92 93 93 95 97 95 96 99100101101101102102101101102102103103104104103102102102102102102102102102103102102100102101101102101102102103103103103103102103102103102102102100101101100100101103102104105105105106107107106103101100 99100100102103101 98 95 95 97 98 97 95 95 95 95 95 94 93 94 95 98 99 99100101102 98100 99102103104105105104105105104103103102101102103102101101101101 99 98 97 97 97 98 98 98100103105103102102105104103102999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999107107108108110108110110107105105104101101101100102104104104104104104105105105105105104104103104103103102103104102103102103104105104104103102101102102104104105105106104105105106105105103105104106105105105107103104104104104104104105105105105105105105105105105105104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104103103103103103102102102102101101101100100100100100 99 99 99 99 99 99 99 99 99 99 98 98 98 98 98 98 97 97 97 96 96 95 95 94 94 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999103104101 98 96 96 96 96 95 93 93 92 92 93 97 95 97 96 95 97 96 97 97 96 96 94 94 92 93 92 94 93 93 96 97 97 98100100101103102103104104103102103104104103105103103103102102103103104104104104105104102102102103103104104103105104104104103103104103104104103104103103103103104104105106108108108108109109108107106105104104104105105104102 99 99100 99 99 99 99 98 98 96 97 99 97 98 99 98 98 99101102102102101102103103104105105106105105104103102103103105103102102102101101 99100 99 98100100104106104103103102102102102102101999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999106106108107999999999999104106104101101101100102103103104104104105105105105105105105105104104104103102103102103104103103104104103102100102102102102103105104102105105105105104104104104104102103104104104104106104105104104105105105105105105105105105105105105105105105105105104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104103103103103103102102102101101101101100100100100100100100 99 99 99 99 99 99 99 99 99 99 98 98 98 98 97 97 97 96 95 95 95 94 93 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999111113105103103103 98 96 95 93 94 95 94 93 92 92 98 96 97 98 98 98 99 98 97 98100 98 98 98 97 96 93 94 93 94 94 95 96 97 99101102102102103103103103102102103104104104104104104104102102103104105104104104105105105104104103103105105105107106107107106106105105106105104105105105105105105106106107108108110111110110110109108107107107107107106106105101102101102103103102101100 99 98 99 99 99100102102103103103103102103104106104105107107106104103104105103103104103103103103102102102101101100100103105107108105999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999106999999999999999999999101101101100102103103103103104105105104105106106106106106105105105105104103102102103103103103103101102103103103103104105105105105106105104104104103104103102103103103103104104105105105106105105105105105105105105105105105105105105105105105105105105105105105105105105105105105105104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104103103103103102102102102101101101101100100100100100100100100100100 99 99 99 99 99 99 99 99 98 98 98 98 97 97 96 95 95 94 94 93 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999113107105107106105102100 96 99 98101101102101100 96 96 97 97103 95 95 95 96 97 97 99100 99 99 98 98 99 96 95 95 94 96 95 99 99101101102101102102103103102102102102102104104103104105104104104104105104104104105105105104105105105105106106107107108108108108107107107107107107107106107107108108108108109110110110111111111111110109109109109107107107106106105105103104104105106105102102102103102105107106107106105105105105106105105106107108107105103102102104103104104103105104104103102102101101102104106107108109106104999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999101101102101102104104103104104105105105106107107108108107107106105105105103104104104104104103104103103102103102104105105106106106105105103103104104102102101102103104105104103104106105105106106106107105105105105105105105105105105105105105105105105105105105105105105105105105105105105105105105105105105105105105105105105105105104104104104104104104104104104104104104104104104104104103103103103102102102102101101101101100100100100100100100100100100 99 99 99 99 99 99 99 99 98 98 98 97 97 96 96 95 94 94 93 93 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999105106108108107106104101 99 99 96 94101102102 99101 99 99 99 96 97 98 97 98 99 99100102104101100100100 99 97 97 94 94 94 96 97101101101101102102103103103103102102102103103104104105104104103102103104104104104104104105105105105105106106107108109110109108108108108108108108109108107107108108110109110111112112112111111111111110110110110110108108108109108106106105106107109108109108108108110110110110109107108107108108108109108107108109108106104103103103103102103103105105104105105105101102105106107109110110110108101104999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999101 97 99100101102103103104105104105105105106106107107107107107106106105105105105105104104104103104104105104104104105105105104105105103103104105104103103102102103102104104104105103106106105105105105105106106105105105105105105105105105105105105105105105105105105105105105105106105105105105105105105105105105105105105105105105105105105105105105105105104104104104104104104104104104104103103103103102102102102101101101101100100100100100100100100100100 99 99 99 99 99 99 99 99 98 98 98 97 97 96 95 95 94 94 93 93 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999105104102106106104104104101 98 97100 96 97101 98 99100101102101 99 99100 99 99100100101101104103102101100 98 98 97 97 95 94 94 96 98 98100101101101102101102103103103103102103103104105104105104103103104104104104104105104105106106105106106107108108108110109109109109108109109109109108108109108110110110111111112112112112111111112111111111111111110109109109108108108108109109111111112112111112110108109109109109109108109108109110109109109109108105103103102102103103105106106106104105104102102103106109110109109110106107101104999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999101100100100100101102103104104104104103104105106106106107107107107107106105106106106106105105105105104104104104103104105104105106106106106106102104105105105104103103103103103103105105105106107106103104108105104105107107107108105105105105105105105105105105105105105106106106106106106106106106106106106106106106105105105105105105105105105105105105105105105105105105105105104104104104104104104103103103102102102101101101101101100100100100100100100100 99 99 99 99 99 99 99 99 99 98 98 98 97 97 97 96 95 94 94 93 93 92 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999102103103102101104103 99101100102101 96 96 97 99 98101102102104103104104102103102102102102103104104102102 99100100 99 95 94 94 93 96 98 99100100100100101101103104103103103103103104104103104104104104105104105106106106107106107108107107108109109109111111111112111111110110110110110110110109110110111111110111111112112112112112113112112111111113111111112111111111111111111111112113113114113113112109109110108109109107107107107108108108108108107106106103103103103105104106106106107105104102103103106109110112111111110107104102104999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 98 98 99100100100100102103105105104104105105106106106106106106106107106106106105105106105106106106106105103103104104104104105105105105105103105105104105106107106103104103105104104105105105105107107105105105105105105105105105107107105105105105105105105105105106106106106106106106106106106106106106106106106106106106106106105105105105105105105105105105105105105105105105105105104104104104104104103103103102102102101101101101101100100100100100100100 99 99 99 99 99 99 99 99 99 98 98 98 97 97 97 96 95 95 94 93 93 92 92 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999104105104103102101101 97 97 97100100 99101 99 99 97 98 98 98 99102103104105105106105105105103105104104103105104102103 99100 99100 95 94 94 95 97 97100 99 99 99101102103102102103103104103104104105105105104105105106105105106106107107108109109109109109111110112111112112113112112112112111110110111111111112111111111110110111111111112112113113112112113111111112112112113113113112114114115117116115115114112111112111108109107108108106106107107107107107107107106106104105106105105105106105105106104104104105107110111111113113111109107102103999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999104 98 98 99 99 99 99 99101104104104104104105106106107106107107106106106107106106106106106106105106107107106105104104104104105105105104104104104105105105105106106105106106106106106105105105104105106106107106104104105104105105104105106106106106106105105106106106106106106106106107107107107107107107107107106106106106106106106106106105105105105105105105105105105105105105105105105104104104104104103103103103102102102101101101101101100100100100100100 99 99 99 99 99 99 99 99 98 98 98 98 97 97 97 96 96 95 94 93 93 92 92 91 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999103105105104103102101 99 97 95 99100 97 97103 99100101102 99 99101102103105106105106105106106104107105106106107105104102 99 98 98 98 97 96 96 99 97 98 98 98 99 99 99100101102102103103104104104106106106105105106107107107106108108108109110109110110110111113112113113113113111112112112112112112112111112113112112112112112112111114112112112112112113113113111113113113115115115116115115115115116115116115114113113113113110108107107107107107108108108108109108106105105105105105105105104103105104104105106107108109112114111114113108107103101999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 96 96 99 99 99 99100101103104105104104104105106106107107107107107107106106106105105106106106106108108107107106105105105106106106105105106105105105105105105106107106105105105105105105105105104105105105103104103104105105106104106106107106106106106106106106106106106106106106107107107107107107107107107106106106106106106106106105105105105105105105105105105105105105105105105105105104104104104103103103102102102101101101101100100100100100 99 99 99 99 99 99 99 99 99 99 98 98 98 98 98 98 97 97 97 96 95 95 94 93 93 93 92 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999101106105104102101100 99 98 96 96 95 94 96106100107106102103103102103103103106107107106109108108108108107108109107106105103101 98 98 95 94 92 91 97 94 96 98 98 99 99 98 98 99 99101102103104104106106107106106106107108107108109109109109111112111111111111112113113114114113113113113113114114113114113113113113112113113112113112112112112111112112112113114113113113113114115115116116117116115114115115115115115115116114112109108109108108108108110110110111111110109108105105106105105106106106106106106109109109110111111114113112111106107999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999101 96 99 99 99100100102103104105104104105105106107107106106106106106105105106107106106107107107107108107107107105106106106107104104104106105106107108105105106107108107106105105106105105105105105104105104106107107104105105107106107106107107108105106107107108106106106106106107107107107107107107107107106106106106106106106105105105105105105105105105105105105105105105105105105105104104104104103103103102102102101101101100100100100 99 99 99 99 99 99 99 99 99 99 99 99 98 98 98 98 98 98 97 97 97 97 96 95 95 94 94 94 93 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999111107106106106104101 98 99 98 97 96 97 97 97 97101105105106103103102102106105106107108107109110111110109109109110110110108106103100 98 94 94 93 93 92 92 97 96 96 97 97 97 97 99 98 99100 99100101103105106106107106106106108109108108109110111111111112114113113113113114114113113114114114115114114114114114114114113114113113113113113113112112111111112112112113113113113113114115114114115116115115115114115115116115116116115114112110109110109110109110110112115114114113111112111110109106109109109109108110110109110110111111112112110110107104999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999101 96 98 98 98 99100102104105105105105105105106107106106106106106106106106106107106107108108107106107107106106106106106106106108106105107107107107105105106107105107108107106106107107107107107105104104106105106106105104103104107107107106108106107107106105106107108106106107107107107107107107107107107106106106106106106105105105105105105105105105105105105105105105105105105105105104104104104103103103102102101101101100100100100 99 99 99 99 99 99 99 99 99 99 99 98 98 98 98 98 98 98 98 97 97 97 97 96 96 96 95 95 95 94 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999107110109108106102 99 97 96 95 96 94 95 95 96 98103101103106106104106105105105107108109110110112112112110109110112110110108106104101 99 96 93 85 88 91 90 96 93 94 94 96 96 96 98 99 99 99 99 98100101103104104105105107106106107108107108110110111111112112112113112114114115114113113114114114115114115115115115115115115114114114113114113114112113113113113112112112113112112114114114114114115116116116115116115114114116116116115114112110109110111111111112111112112115114114111112111111111110109108110110110111112112113112111111112110111111999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 95 98100100 99 99100102104105105105104105105106106106106106105105105106106106107108108109109107106106106107106105105104106107108107107107107108108107105105107106106106105106106104105106106107106105105105103105105105107104104105106107107108107106107104105106106107106106109107107107107107107107107107106106106106106106105105105105105105105105105105105105105105105105105105105105104104104104103103103102102101101100100100 99 99 99 99 99 99 99 99 99 99 98 98 98 98 98 98 98 98 98 98 98 98 98 97 97 97 97 96 96 96 96 95 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999110110109108105103 99 98 97 95 95 96 96 95 95 93 99 99101102104106107107107105108109111111113111112113112110111113114112110108109107104 97 94 97 95 89 89 91 94 94 93 94 94 96 95 96 97 98 98 98 99 99101103103103104104106107106106107107108109109110111111110111112114115115116116115115114115115114114115116116116116115115114114115114114115114114113114113113112112112112113113114113114114114115116115115115115114115114115116115114112110111111111112113113115116115114115115115114113111112110112112111112112113113113114113113114113111112999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 97 98101101100 98 99102104105104105104105105106106106106105106107107107106107108109109109108107106105106107106106106107107109108108108105107106107107107107107106107107107106105105108107108107107106106104105104103107107106107105107108107108107107107107105108106106104104105107108110107107107107107107106106106106106106105105105105105105105105105105105105105105105105105105105105105104104104103103102102102101101100100 99 99 99 99 98 98 98 98 98 98 98 98 98 98 98 98 98 98 98 98 98 98 98 98 98 98 98 97 97 97 97 97 96 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999112112113110108104103100 98 98 97 96 93 95 96 95 96 96 99 98103104105106111108112109108111112112112111111111111111111113112112111109111106105102 99 99 93 92 93 92 93 94 94 94 94 95 95 96 95 95 96 98 98 99101103102102103103106106105106107106106107108110110110109110110112113114114114115115113113113113114114116116116117116116115115115114115114114114114113112112112112112112113113113113113113113115115114113114114114114114115115115114115113113112114115115116116115116117117117117115114113111111111112113114113115114114113113114113111113999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999100 97 98102104105104105105105104105106106106107107107108107108107108107108108107106106106107106106105106106107107108108105106107107106107108108106108107108108107106107107107106108107107106106107105106106107107106106108106106107107106108107108108107108105106106107106107108108107107107107106106106106106105105105105105105105105105105105105105105105105105105105105105105104104104103103102102101101100100100 99 99 99 98 98 98 98 98 98 98 98 98 98 98 98 98 98 98 98 98 98 98 98 98 98 98 98 98 97 97 97 97 97 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999112112111112111106104101 97 95 94 95 94 94 96 96 95 94 96100102105106108108110111112112110112112111113113112111110110109111110111109107109106104103102 99 95 94 92 93 92 93 93 93 94 93 94 95 96 96 98 97 98 98 99100101101103102104104104104105105105106107107108107107110109110112113114114113114113112114115116117117118117119118117117116116114114113114114114112113112113112113112113112113113113113113114114114114114114113113114114115114114114115116116116116117118117117117118116117115116115114112111110112112112113114114114113113111109110999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999101 98100101103105106106106105104104106107108107107107107107108108107107107108107106106106107105107107106107108109108108106106106108107107106107106106105106106106106107107107107107106107107106107108106107106106107109106104105106108107107109107107107108107108107109107107108106104104105107106106106106106106105105105105105105105105105105105105105105105105105105105105105104104104103103102102101101100100 99 99 99 98 98 98 98 98 98 98 98 98 98 98 98 98 98 98 98 98 98 98 98 98 98 98 98 98 98 98 97 97 97 97 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999113112111109106105101 98 95 93 92 90 89 92 96103 94 96 98101104106107108109110111112112112112113112111112111110108109110112119112110106109105104102103 97 94 89 88 90 92 91 91 91 93 94 95 96 95 97 96 97 97 97 98 98100101102102102103104103103103103104105106105106107107108109110114112113113114114114115116118119118120120119118117117117116115114113114114113113113113112112113114113113113113113113113113113114114114114114113114115116116115118116117116116117117118117118118118117115116116115113115113113115112112113114114115113112110108111999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999101 97 99 99101104105105105105104105106107107108108108107108108108108108107106107107106106107107109109109108107108108109108108107108107107107107104105105105105106105106106106106107105107106104103104105107107106105104105108106105106107107106107107107106107107109108108108108108108103102108110106106106106106105105105105105105105105105105105105105105105105105105105105105104104104103103102101101101100100 99 99 99 98 98 98 98 98 98 98 98 98 98 98 98 98 98 97 97 97 97 98 98 98 98 98 98 98 98 98 98 98 97 97 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999114112112111109108105102 97 95 92 91 90 91 92 94 97 94 95 97100104106106107109109111111111112110112111109109108108108109109108115111111107107108106104107105101 96 91 91 90 91 91 93 93 94 96 97 96 95 97 96 96 97 97 98101102103103104103102101102102102104104103104104104105107107108110112112112113113114115116116117118118118119119119118117116116115114113114114114113112113114113115113113114114113113112113113114114114113113112113113114115116115116116118118118117117116116117116115115115114115114114113113112111110110112113113115112114112105109999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999101100 99100103104105105105104104105106107108109109108108107108108107107106107106106107108108108109110108108107109109109110107107107107108105105104105104104104106106106107107108107108106108105105103104107107107107107108106108108108107107107105107107107107109108108108108109108107108109109105104106106106106105105105105105105105105105105105105105105105105105105105105104104104103102102101101100100 99 99 99 98 98 98 98 97 97 97 98 98 98 98 98 97 97 97 97 97 97 97 97 98 98 98 98 98 98 98 98 98 98 98 97 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999117115113112110107105102 98 94 93 92 91 91 92 93 93 97 97 97101101104106106108109109112112111113110110110110109108110109106105104109111106106106105105103104105104102 95 95 97 93 94 93 95 95 95 96 96 96 96 95 97 99 99100100101101101101100100 98 99100101101101101101103104104105105107108111111111111112113114114115116117118118118120120118118117115115115114114114114114112114115114115113112114113113114114114113114114113113112113112113115117115117117116117117118115117117116115115115114115113113113113110112112113112112113113113112113110107103999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999101 98101100101103104104104104104104105106106106106106107107107107107107107107106106108108107108108109108108108107109110110108107106109107106104105105104105104106106107108108107107108107106105104106106108104104106107108108107107107107108107107107107106107107107107107106108108108108108109105107109109109106106105105105105105105105105105105105105105105105105105105105104104103103102102101100100100 99 99 98 98 98 98 97 97 97 97 97 97 98 98 97 97 97 97 97 97 97 97 97 97 98 98 98 98 98 98 98 98 98 98 97 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999122116115115112107103101 99 93 93 93 93 92 92 92 94 95 97 97100101100105107108108109111112112110110111108110113109108109107104103102103101103104103104105103104105103104103103100 97 97 97 97 96 94 97 98 98 97 95 96 98 98 98 99100100 99 98 98 97 95 97 97 97 99 98 99100102103103103102103106108108110111111113113114115116118118118118118118117117117115116116116115115115115116115114114115114115114115113113113114113113114113112112112113113114116115115116116116116116115116116114116115115113114114114113113112112113113114113116115114113111106103109999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999100100100101102999999999999999100 90 97 98 97 99102104105104104104104104105106106106106106107107106107107108107107107108107107108108108108108108107108109109107107108108107106107106106105106106105105107108107107106107107107105105104106108106106106105106108107106107102103105107106106104106107107108106105108108104104109109106108108107104105106106106106105105105105105105105105105105105105105105105104104104103103102102101101100100 99 99 99 98 98 98 98 97 97 97 97 97 98 97 97 97 97 97 97 97 97 97 97 97 98 98 98 98 98 98 98 98 98 98 97 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999120121120118116112107103 99 96 94 94 93 91 92 93 94 93 94 95 97 97100101103105107108108110111111112110110111108107114110108110107101100100102102100102104104103104103103103104104103102101100 98 96 95 94 95 97 96 96 94 93 91 93 94 96 96 95 96 95 95 95 93 97 96 95 96 97 99100101100100 99100102103105106108109109111112113115117118118119119118117116116117117116115116115114115114115115115116116115115114114114113113115114114113113113112113112114114114114115115115115116116115115115114114115113112115115114115117114114114112111112115115114113110107106999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999102101101100101101102103999999999 96 94 96 97 97 96 98100103105105105105105105105106107107107106106106107107107106107108108107107107108107107107108108107107108109109110109109109107107107104105106106104106106107108107106106106106106106105107107106106106106105106106107106104105104106104105103105106105108106107108107107107107107107108106104104105104105106106106106106106106106106106105105105105105105105104104104103103102102101101100100 99 99 99 98 98 98 98 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 98 98 98 98 98 98 98 97 97 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999118119119120119117114107103100 96 94 93 92 93 94 97 98 98 97 94 96 98101102103104105107108109110111110109108114109108106105111109104103 99100 99 99100101101104104104104105105104103103102102100 99 97 96 95 94 95 95 94 93 91 91 89 86 89 90 89 89 90 90 88 91 95 95 94 94 94 97100 99100 97 98 98 99100100104104104105107110111113116118119118118118119118118117117117116115117116116116115116114114114114114114114114114114113114114114114113112113113111112112113113114113114114113114114114113114115114113113113115115113114116115112111110112116112113114111109110999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999102100101102102102103103103100 99 98 98 98 96 96 95 99101103104105105106106105106106106107106106107106106107107106106107108108107108108107109106107108107107109107109109110110110108107107107105106107107106106106107107106106106107106107106107107107107106105105106102105105106106106105104105103104104105106105107107106105106107106107108108109110106106105103104106108106106106106106106105105105105105105105104104104103103102102101101100100100 99 99 98 98 98 98 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 98 97 97 97 97 97 97 97 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999118118117119118118116113108104101 97 94 94 94 92 92 95 96 99100 99 96 97 98102103104105107108109109110112110109108107109109104105104105103 97 98 99 96 96 98101101102102103103104103103104103103102 99 98 98 97 97 95 96 93 92 92 89 90 89 89 88 88 86 85 82 85 88 85 95103 94 92 97 94 95 97 98 97 96 98 98 99 98100101104104107110110114116117117117119118118117117117117116117116117116117116116116116116116115115114114114114114114113114114114114114113114114112112112114114113114114113114114113114114115114114114114114113114114113114115114113113114115114113114108111999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999102101103103102103103104104104103102102101100 99 97 97100102103103104104104105106107106106105104106106107107107107107106107108107108109109108106108107108109109110110109109108109108110109110110107105106108108107106107107105106107106106106107107107107106105105106105106107106105106106106106106104107108107107107106105106107108108107108108109107109105104104104105106108108108110106106106105105105105105105104104104104103103102102101101101100100 99 99 98 98 98 98 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999122122121121120118116115112109105101 97 94 93 93 93 91 93 96 97 99100100 99 98101102103105106107107108109109110109108108106106105107104102102102 99 99 97 96 95 96 99100100101101100102102103104104104104101 99 99100 99 97 95 95 95 96 94 95 95 93 93 86 97 82 83 82 88 92 89 91 93 92 91 92 92 95 96 96 94 95 95 96 95 98102104106108109110112114115116117117117116119119118118117118117117117117117117117117117117116116116114114115115115115115115115115114114114113113113114113113114114113115114115115113112112114113111112113112113114113114114113112112114113113114115110999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999100103104104104105104104104104103102101100101 99 97 98101102102102103104104104104105105105105105106106105105105105106105106107108109108109108111110110109110110110110109110109109108108108109109107107106107107107107106108107106106106106106106105107107107106106107106106107105107106106106106105106105107107106105104104106106108107108108108109108108105106108108109107108109107106108106106105105105105105105104104104103103103102102102101101100100 99 99 98 98 98 98 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999121121122123122122121118116114110106102 98 94 93 93 93 93 94 95 97 98101101101104102103103103104106106107107108109108108108108109106105106105104109106101100100 96 94 95 97 97 97 99 99 99 99100101101104104103103102101 99 99 98 97 99 99 97 98 98 97 97 97 97 98 98 97 83 87 88 90 91 86 88 87 89 86 88 89 96 94 94 94 94 95 99102103106107109111114114115117117117117118118118119119119119118117117117117118117117116117116115116115116116115115115115114115115113114113114113113113113113113113112114112115113114114114114113112112113113113113112112111110112111114113114112112110999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 96 99103104105105105104104103101101100 99 98 97 96 95 95 99100101102103103103104104104104105105105105105104105105104105106107108109110110110110110110110111110110110110110110111110108108108109108107107107106106107107107108108108107107106106106106105108107106106106105104104105105104105105106106106107108107107106106105105105106107108108108109106105106107107107105108106106105106107106107105105105105104104104103103103103102102102101101101100100100 99 99 99 98 98 98 98 98 98 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999119122122122122123122121120119118117115111107103100 97 95 95 94 93 94 97 98100102105104104105104102103104104106106105107107106108108105106106105106107106105102 98 98 96 95 97 93 95 95 96 96 99 95 98 98101101101103103103103101 99100 99100101101102103101102 99 99 97 93 94 95 95 93 89 93 97 87 89 83 87 86 83 87 94 95 98 97 98100102104105108110112113114115116116116116116117117119119119118118117118118117117117117117118117116116115114115115115115114115115115113114113114113114113113112113113113113113113113111112114113113113114114114112113114112111111110110111112112112110110108999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999104 96 99103103103104105105104102102102 99 99 97 97 96 93 95 97 99100100102103103103103104105105104104104104104104103104105105106107108109110111110111111112110109109108106110111110109109110111110110109108107107107107107108107107106106106106107106106106106107108108108108108107106105106108107107107106107107107108108107104106104106107107108107107108106106107103104105104106105105106106104106105105105104104104103103103102102102102101101101101100100100 99 99 99 99 98 98 98 98 98 98 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999119121123125123122121121120120119119118117115112107103100 99 95 95 95 97 96 99100102103103105106105102104104104105105106106106107107106105105105107107106105104103 99 97 96 95 95 95 94 93 94 94 95 94 96 96 99 98 99101102103102102101100 99 99100102104107105102104103101 97 97 95 96 99 96 94 95 93 89 87 86 88 88 92 90 92 93 98 99102104108108110111112113114115115116115117117117117117117118118117118118118118118117117117117117117117117116116116115115115115115115113113114114113114114114113112112113113112112113112113114113113113114115115114113113112111111110110110111111111110108110999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999104 95 99102103104104104103103103104103103102 99 97 97 96 98 98 99100101102103102103104104104104104104104104104104105105105106106106107108111111110111110112110109109107107107108110109110109110111110109108107106107107107107108108108107106107107107107106107107108106107108108108106106107107107107105105106106106107107107107107106105107107107106106108106107106106108107106107107106104106104104104103104103103103103102102102102102101101101101101101100100100100 99 99 99 99 98 98 98 98 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999120120122124125124123122122121121120120119118118116113111107104100 97 97 98100101101101102106106106106105106105104105106105105107107105105108106105106107105104104102100 97 96 95 94 94 93 94 94 93 93 92 92 93 92 97 99100101102102103101101100101101104106108108107105105103101 99100 99101103102101 88 91 89 90 91 90 88 88 95 97100101104106109111112113114113113115116116116116117117117117117118118118118117117117118117118117118118116116116116116116115114115115114114115114113113113113113112111112112112112111112113112112113114113112113114114113114113111109110110110111110110109111107109999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999103 94 98101102103103103105105103105104104100101 98 98 98 99 99 99101102102103103103104104105105104104105106106106107106107107107107107108108110110110108111110109111110109107106107109110111110111110108108108106106108106106107107108107107108107107106108107108108106107106106107106105106106106107106106105106106107107106106106108106107108107107107108105106107106107107107106106107105105105103104101103102102102105102102101101101101101101101101101101100100100100 99 99 99 99 98 98 98 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999119120121122124124124123123122122121121120120119119119117115113110107106103101100101100103103103103104106104105105106106106106105106106105105105107106105104105104104103101100 98 97 96 95 94 94 93 93 91 91 90 91 91 92 94 95 97100101101101102102101103102105108109109110108107105103105103105106106106104102100 97 99 99 92 95 98101101103107106109111113114114115115114115117117117116117119118118118118118118117117117117116117117116117116116117116116117116115115116116115114115115115113113113111112112111112112112112112113113114112113112112112114112113114112111110110109110111110110106109108108999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 95 97 99 99102103103104104104104103104101100101101101102102102103103103103103104104104104104104105105105105107107106108107999999999109107109109109110110112111111110111109109107108109110111111109108108107107107106105105107105105106107107108107107108107107107106107106105104106106105105107106107106105105106107107107107106108107107107107106106107107106108108108105106106106104104106107107106106104102102100101102102101101101101101101101101101101101100100100100 99 99 99 99 98 98 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 96 96 96 96 97 97 97 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999117119121121123123123123122122121120120120119119118120999118117116115113110107108107107103100101102102103103104104104104105105106106105106107105105106106106105104103102101100 99 98 96 96 95 93 92 92 91 89 87 89 88 86 89 89 91 91 94 99 98 98 99 99100101101102105109110110110109107107106105104104108109109108105104103104104102100101104107107107109111113114116117116116115116116117118118118118119117117117117117117116116116115117116115116115116116116117116116115115115115114115115115115112112112110111110111111112111111112112112112113111111113115114113112110112111111109108110109110110111110108107999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999101101101 99101103104105105105105106103104103103104103104104104104104104103104104104104104103105106107106107108107107107106107999999109108108111111111111112111111109109109109109109110110109108109109108108106105105104105106106105107107107107107106105106107108107106106105107106107106105107106107107106106106107107106106107108107107107107108108107106105107107108107108108107107107107106105105105105103101100101100100100 98101101101101101101101101100100100100100100 99 99 99 98 98 98 97 97 97 97 97 97 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999111112115117119121122122122121122121120119121999121121118119999999999999999112111114111111110109106106102103102102102101101102102103104106106105106106107106106106106105105103102101101100 99 97 96 95 93 93 92 91 89 88 87 85 85 84 86 87 88 87 91 94 97 96 97 99100101104107107111111110110107107107104106109112114114112107110112111109108107106108110111111112113114117117117119118117117117118119118118119118118118117117115116115116115114115115115116115116115115116116115115115115115114114115115113113111111110111110110111111111113112113112111112112112111111111111111110111108110109109109109110109110111110108999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999105100 99101103104105106105104105104105104105105105105104105104105104105104105105105105106106106107108108108108107107106105109999999109109111111110110109108108108108107108110109109109110110109109108108106105105104105107107107107109107108108107105106107106106107106107107107107107107107105106104108108108107107107106107107107107108108107105106106106106107107106108109108106106106106107106103105105104103102101101 98 98 99 99100100100101101100100100100100100100 99 99 99 98 98 98 97 97 97 97 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999113109110113115117118119120121121119120121999999999121120120120999999999999999999114113114112111111111110109106104104103105105100 99100101102103104104104105106106106106105106105105102102101101 99 97 95 93 92 93 92 91 90 88 87 85 83 83 84 84 85 86 88 94 95 96 97 98 99102105107109109112111110108108107108112115116116116116115114113112112112112112113114115115116119117119119119120119118118119120120118116117118117117117117118116116115115115115114115114114114115114114115114115114114114114113113113112115113112111111111112113113113114113112113112111111111111110108109110110109110110109107108109110110110110110108999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999101 99101103105106107106105105105105105105105105103104104105105105105105104105104106107107107107108108109108108108107106108109999999999111110109108106104105106106107106107108108108110110110107108108107106106106106106107108107108107107105107107106106107107105107107108108108107106107107107107106107109107106108109107107107108108107107107106104107106106107106107106107106107107107104105103104104105104102102101 99 99100 98102104100100100100100100100100100100100 99 99 99 98 98 98 97 97 97 96 96 96 96 96 96 96 96 96 96 96 96 96 96 95 96 95 95 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999114114111112112114116117118120120120120121120120119119120120120999119999999999999999114113114113112113112111110109107103104104102101 99101 99101101102103103103104104104105105103104104102101100 98 97 97 94 94 94 94 92 93 91 90 88 86 83 83 83 84 87 86 89 93 93 93 94 96 97 99101103106108111113114114112112113115117117117117117115114113113114116117119117118118119118120120121120121121121120121120119119118118117117117117116117116116115115115114114114114114114114113114115115114114114114114113113113113112113112111112112112112113110112112113113112112111110111111108109109110109109109109108108108108109109110110110109999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999107104102104106107106105105105105105105105104106105105106106105105106106105105106107108108107107109108108108109110109108106111108999999108108106106104106107107106104106107106107109110109110108108108108107108107108108109106107108107106106107107107107107106108107108109110109105107107108108108108108108109108108108108106105108108107107107106104105107107107107106107103108107107104105104105107106103103101100 98 94 98 99 98101104106100100100100100100100100100 99 99 99 98 98 98 97 97 97 96 96 96 96 96 96 96 96 96 96 96 96 95 95 95 95 95 95 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999114114118111112114115116118118117118119120120120120121122121121120117118999999999115115114113113112112112111110109107107105106104103102 99 98 97 99100100101101102102102103103102102102100 99 99 98 98 97 96 98 98 98 97 96 95 94 92 91 88 85 85 85 84 87 88 92 93 92 93 95 95 96 98100104107109113113114114114114115116118120120117116117116117117118119120119118120120121120121122120122122121120120119120119117117117116117116116117116116114114114114114114114114114114114113114113113113113114113113113113112112112112112112112112112113113113112113113112112111110110109109108108109108108108108107107108108107110109109109108107999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 92 97101104106106106106105105105106105106106107106106106107106106104105106107106107107106107108108108108108108109109109110111109109108108105106105106106107106107999107106106107108108109110109108108108107106106107108107106106106107107107107107107108107109110108109111110109109109109109109109108108108109108108108109109107108108108107106108108107107107107106107108107106106106107106106105105101100102100 98 96 96 97 99100102102101105105100100100100100100100100 99 99 99 98 98 97 97 97 96 96 96 96 96 96 96 96 96 96 96 95 95 95 95 95 95 94 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999115114119118117117119119120118119119119121121121121121121119120120115117115116115114113112112111109109107104102103103104104100102 97 96 97 98 98 98100100100100102101102102101101101101101100100101101100102101100101 98 96 94 92 90 88 86 89 93 94 94 93 93 93 94 97 99101107109112112112113114114115117117120121120118118118118119119119119119119119120121121122122122122122122122120120120118118117116116116116116115115116115115115114115115115114115114114113113112113113112114114114113113113112112112112112112114112112112112112111111111112111111110108108108107107106107107107107107106108107108109108109109106108999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 88 87 91 96100104106106106106105107107106107107108108107107107107107107106106107106105105106104107108108108107107106107107107108108108109109107106107106106106106104106105106107107105107107108107107106107107106107107106107107107104108108108107108108109108108109110110110109108108110109110109109109108107107108108109108108108108107108107107108107105106107107107106107106106104104107106103104105106101100100100100 99 98 98100101102103103101100101101100100100100100 99 99 99 99 98 98 98 97 97 96 96 96 96 96 96 96 96 96 96 96 95 95 95 95 95 95 94 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999116999999999999999999999999999122121121122122122122121119118117118118117116114113111110110109108105104104102104103102102103100101101101100 98 99100 99100101101103103103102103102102101103104105106106105105106104102 99 96 94 93 96 94 93 96 95 96 96 95 95 97100102106110112110111113114114115118118120120121121120119120120120120120121121121121121120121122121120122122121119118118117118117116116116116115115114116116115114112114114115115114114113112113112112113113113113113113112114113111111111110111111112110109110109109110110110110110108107107107106107105106106106106104107107108109109110111110108107999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999108105105105999999999999999999 89 89 88 92 96100105107107108108107107107106107106107108107107107107108106107107106105106106104107107107108109108108106108109110109109109110108104106107105106106104106105105105104105102103105106106107107108107106106106107108107106106107108108107107108110108109109110111110110110110110110109108107108107107108108108108106106106106106106107105107105104106105105106106106104105104106105106104108107105 99101 99100100 98 97 99 99101 99 99100101101 99 99101 98100100100 99 99 99 99 98 98 98 97 97 97 96 96 96 96 96 96 96 96 96 96 95 95 95 95 95 95 94 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999124123123121122122120120120119120117118118117116112110109107107108106106105103105103104103101104103103104103103102104103104105105105105105104104104104106106105108109110110109109110107107103 98 95 96 96 95 95 95 96 97 96 96 98100103107110110111114117116115116117117119121120121121121119120121120121121120120121122121122122121120120119117117116116117117117117117116116115115114115115115114114114115115114114114113114113112111112113113114113113112112112112112112111111111110108109109109108108109110108109108107105105106106106107107106107106109107108109109110110109108106999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999106107106105105103102100 98 96 96 93 91 98 99 99100104107107108108107108106107106107107105106108107107107107107108107108108108107107107108108109109110108107110110110109109109110108106107106106106106106107106105105105105106105106106106106107108107107106107107108107107107108109108108109110110110109110110111110111109109107108107108107108107107107107107108107106107105106106107106104103105106106104103104102102103103105104103107106106103101103102102 99 98 99 98100 98 99 98100100100103101 97 97102101 99 99 99 99 99 98 98 98 97 97 97 97 97 96 96 96 96 96 96 96 96 95 95 95 95 95 95 94 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999122125123122122120120119122121121120118119117118116112110107105106106105104105104105104104103103104104103104105105105106107105105106106105105105105105106107106108110110110111111107108108108106102 98 96 95 97 93 94 95 97 97 97 98100103107108108112117118118117117119119119121121121121120120122121121122121120121122123123122121121119118117116116115116117116118117118116116116116116115115115114115114115115115115115115116114114112111112112113113112112112112112111112111109109108108108109108107108109107107107107107106105106106106106107106106107108107107109110110111110109105104999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999105105107108107106104104105105104103100 99100102102102102103107109108108108108107107106106106105106106107107108107108109109110109109107108107107108107109110109108108108110109109108109108107108108107107107107107106108107106106107107108107107106105106106108107105107107107108109108108108108110110110111110109109111110110109108107107108107108107107106106107107107106107108106106106107108106107107106104104103102103102103103102101101106107106105104105104104 99101100100102102 99100102 98 99102101 97 97101100 97 94 99 99 99 98 98 98 98 97 97 97 97 97 96 96 96 96 96 96 96 95 95 95 95 95 95 95 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999126124122120120999999999120120121121121118119116113110109999107103104104104104104104999999104103104104105105106106107108106106106106106105105105107107107106109110112115999999999999108107105104101 98 96 97 97 93 97 97 98 99100102104107108110113117118119118118119119121121121122121121121120119120121120120121123121121121120121120119119119117118118119121121120120119117116116116115115115115115115114115115114115116115115114112113113113113113113112112111111111109110110110108108108109107106106107107106107106106107105105106106106107106108108109109109110110111112111110108107999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999104106105105107106107106106105105105105104104103103103102102103104106107108109108108108107106107107106105105106106110109109109110109108109108109109109109109110111110109110109109109108109108107108109108108108107108108109107106107107106108107106106104105108108106107108105106105107108108107108108110111111111111111109110110109109108107106106106107107106106105106105104106106106109108104104104105107106106105103103103102101102103103103104105102104102102105105104103101100100102104103104103100100101 99 99 99100 99 97 99100102 99 98 98 98 98 98 97 97 97 97 97 96 96 96 96 96 96 96 95 95 95 95 95 95 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999125124124999999999999118117119121121120118117114113112109999999999999999999999999999999999999105104104104106105105107108106106106106106105106107107107107107110113113114999999999999999107104105103 99 98 99 97 96 97 98 98100102104105106109111114118119119119119119120120120120121121120120120118118119120120122122121121121121121121121122120120120119120120121120119118117117116115114114114114115116115115116116116116116116115114115114114114114113113111112111109110110110110109108108107107107107108106106106106106106105105106107106105104106107109110110110111112112111110109107999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999103104106107108108107107106107107106106106105104104104105104103103104105106106108108108108107107107108106107108107107109110109109110110110111108109110110109109111111108111110110110110108109109109109109109108108108108108109109107107106107106106106106104104106105105107107105105106106107107107108109108109110111110109109110109109108109108106105105106106106106106103104104103101104107107107107107107107107105106103104105102103101102102104103104105104104103104104102101104101101102105105106102 99100100101102103 95 98 99100 99 98100 98 96 98 98 98 98 97 97 97 97 97 97 96 96 96 96 96 96 95 95 95 95 94 94 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999129127128127119999118118118118119119118119117115114111110111106999999999999999999999999999999999999999102105104105105106106107106105105105105106106107108108108112115114116116110999999999999105105103102100100100 97 98100 99102103104106108111114115117119120119118118121121120119120120122119117117117120119120122120121121122123123123122122122121121121121121121119119119117116116116115115115115116116116117118117116116116116116116115116115114114113112111112110110111111110110108109108108108108107106106105105106106107106105104105105105105104106108109110110111111112111111111107106999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999106106107107108108107107107107106105105105106106105105105105105105104104105106106107106106107107108109110109108109107108107110109110109109109109109107108109111111110112111110110110110109109110109109110110110109109108108108108107107106106104105106106105104105106105106108107104107107107107107107109110109109110111110110110110109108107107106104105105105104105104104103104103103103106107106103105105107107105103107104104104104103103102103103105104103106105105105102103102101103105102104106103106105103101102100 97 97 98101101 97 95 98 98 98 98 98 98 98 97 97 97 97 97 97 97 96 96 96 96 96 95 95 95 95 94 94 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999127127127127118999999999999999115117116116115113110111110111999999999999999999999999999999999999999999999999106105105106106105105105106107107107109108109112111113114114117120121122999999104106105103102101101100 98 98 99100101104106108111113115116119119120119120121121120120118119120118116116116118120120120122121122122123122122123123123122122122121121120120119119118116115115117117118118117117118117117118118116116116116116116117116116115114113111111111111112112113111110109108107107107107107106106106106106106106106106105104106106106105107109110110110112112112112111111108106999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999104107108108107108108107106106105105104104104105105105105106105105104103104106106105106106106106110109110109110110108108109110111110110110109108110108110110111111110110110108110111109109108109108109108108110108110109108108107107107106105104103104104106104105107106107106106107107106106107107107109110110109110110110110110110110107106106105105105104104104105104104103102102102102102101104104104106109107107106106105103102105106105104104105106106105106102104105102103101104104103103104103103104105101101100100 99100 99 97 96 98 96 98 99 99 98 99101 98 98 97 97 97 97 97 97 96 96 96 96 96 95 95 95 94 94 94 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999119119118118117999999999999117116116115114113110111999999109999999999999999999999999999999999999999999999999105105105106106105105106107107107109109109110111112112113114116118116119999999104104103102102101101100 99 99100102102105107109111114116116118120120120121120119118118116118118117116116117118119120119119120122122121121122123123122122122121122121119120120119119118117117118118118118118118118118118117117116116116116116116116115115115114113113113112112112112112110109108107107107106106106106105106105105106106106106105105105106106106106109109110111110111112111111111110107999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999107103106107108108107108107106106104103102102102103103104104105105105104103103107107106107108106109110110110109109109108109108108109109110108108108110110109110110110110110108109109108110110110110110108107106107108108109109108106106106105104103104104104106105106106107107106108107107107109107108111108110110109110110110110110110109107106105105105105103103103101101101102101102103103102105104104105106107107107107106104103106105103 99101102104103103104103103103103102102102102100102100101102102101101101101100101 99100 98 98 98 99 98 98100 99101101100 98100 97 97 97 97 97 97 97 96 96 96 96 95 95 95 94 94 94 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999117117116114113111109999999110110999999999999999999999999999999999999999999999999999104108108108106106107107107107110110112112112113112112112114112115112116999106105103102100100102102100100103100102104107109111114116116118119121120121121119118118118118117117117119118119119119119119119121120121121122121120119120120120120120121120119119118117117118119119119117117117117117117116116115115115116116115115115115115114113112112111111111111110108108106107107106106106107105106106106106105105104104105105105105105106106108109110111111112111112110111109101109999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999107102105106107108106106106105104104103102101101102102103104104103104104103104104107107107108108109110107108107108108111108108108109110111108110110111110110111111110110110110110111110109110110110109105107106107108109109107109107105105105104103104104105104105106107107108110109109109109110110111110110109110110110110110109109109108106105106105105103102101102103102103102101101101103103103103103105107107107106108105102104103105103103103103102102102102103103103101101102101 99 99100 98 99102103101 99101101101101101 98100 98 99 97 98 98 98 98100101100 98 97 99 99 97 97 97 97 97 96 96 96 96 95 95 95 94 94 94 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999121112116118117117114113999999999110110999999999999999999999999999999999999999999999999999999999109109108106108108109109111112114115114114114113111110111111111112999999999104100101100102101100102100100101103104107110113116115115116117120120120119119118117117117117117118118118118119118118119119119120121120120119118119120119120119121120120120118119120118119120118118117115115115114114115115115115115114114114114114114113113112111110110109108108108109108107108107107106106105106106106106106105104104103104103104104106106105107109111111111111111110110110110100109999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999107105104105106108106105106104103103103102101102102103103103102102102102103103104106106106107108108108108108106106107109108109110108108108110111111111110109111111110109109110111112111111110108108107107106107107107108108107108107105105105104103104104104105106107108110108109110110111109110109110110112111111110110110110110110109108106106106106104102104102103104103102101102102102101102102103103105106107104104105105104103103103103103103103102101101101103102100100 98 98 99 97 98100100 97100101102 99100101100 99 99100101100 99 99 93 93 98 99 99 99 98 99 97 98 98 97 99 97 97 97 97 96 96 96 95 95 95 94 94 94 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999122121120120119119117999999999999110110999999999999999999999999999999999999999999999999999999999999999999106108108106108110113116118118117115113112110111119121112999999999999104 99 98 99 99101100100 98 99101101104106108112114112115115117119119120121119117117116118117118120119117118119119119119118118118118118118118118118118119118119118118118118117117118117118119118117116116115115115115115114115115114113114112113114113113111110110109108107106108109109109108107106106106106107107106107106106105104103103103103104105106105105107108110111110110109110110110109107104999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999107104105106108107105104103103103103102101102101102102102102102104103103104104105106107107107106107107106106107107107108108107107108110112112111111110109111109110109110110111111110109107107107107106106108108107107108107106106106104104105105104105104107107107109109109109110110111111112108110111111111110110111111110109111108109106105104103104103104102101101102103103102102102103102104104104105105106102103106106105104104104104102102101101101101102101101100 98 98 98 97 98 99 98 98 97 98 99101100 99 99100100 99100 99100100100 99 98 99100 96 96 98 96 98 99 98 96 96 98 97 97 97 96 96 96 95 95 95 94 94 93 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999112114109109115118121121118117117999999117119121999999999999999999 98 96 98 99 99100 99 98100100101103104108111113113113116117118120121120120118117116116116118120119118118119118118118117117117116117117117118118117117117117117117117117116116117116116116116115114115115116116116115114113112112112112111112112111111111109108107108107108109108108109108107106106106107106106105106105106106104103103103103104104105106106107109109109109110110110110110109107103999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999107103103104105105105104105101101101102102101101102102102102102103104104105104105105105106107105105107107108108108108108107107108108109110111112110111110110109110110109109109107107108109107106106106105106107107107107108106105105105105106107106106106106108109107110109110109110110111110109110110110111110111110110111109109109106107107105104104105104103101101101101102103103104103103104104103105107105105106105104106106107107106106105101102102102102100100 99 98 98 98 97 97 97 98 99 96 97 98 97100 99 98100 99100 98100101101101101100100 98 98 96 95 99100 98 98 98 97 97 98 98 99 97 97 96 96 95 95 95 94 94 93 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999118119120117120124124999999999999999999999999999999999999999 99 93 96 98 99100100 99101100 99101104107110112112114115116118119120119118116116116117117118119120118119120118118117116116116115115116117117118117117116116116116116117116116116116115115115115115116116116116115114112111109109109110110110111111111110109108108108109109109108107106106106105105105106105105105105106106106104104104104105105106106106105106107108109108109110110109109109108104105999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999107101104105106105105103102102102101103104102103103103103104105105104105105105104105107106106106106105106105107108109108108107109111110111112111110110109109108108108108109108108106108108107106106105105105107108108107107106104105107107109107107108107109109108109108107108109110109110109109109111109109111110112110110110109108108105104105105104104104102101 99100102102103104104105105104103106106104104105106104106107106105103104103103103103100 99 98 99 98 99 99 97 98 97 95 97 98 97 97 95 96101 96 98 97 98 99 99103101100100101 99 99 99100 99100100 99 97 99 98 97 98 98 98 97 98 98 96 96 95 95 94 94 93 93 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999122126129127999999999999999999999999999999999999 98 98 95 94 97 99 99100100 99 99 99100102104108110112113115116118118117118117117114115115117117117118118118118117116116115114114115115116116117118117116116116117115116117116116115115116116115116116117117116115114112109106107107107108109110110110111110110111111110111109108106105105105105105105105105105105105105106106105105104105104105105106107105105104107108109107109108109108109108108105104999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999107101103106106105104103102102102103103102104104104104106106105104106106106105104106106107107107107106108107107108110111110111111111111107108110108110110109108108109109108107109108108108106106107107105105106106108107107106106105106108107107106108107109108109110109108108110110110109109109109110110110111110110110110110109108107106106104104105104102100100100100101102102103102102106105105105105105107106105107107106105105105104103102101100 99 99 97 97 97 97 97 97 97 95 96 94 96 97 97 95 96100 98 99 97 98 97101102 99 99 97 97101102101 99101101 99 99 98 98 98 98 98 98 97 97 98 95 95 96 95 95 94 94 93 93 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999132131128127999999999999999999999999999999999999999100100 96 98 98 99 99 99 98 99 99 99101103107110111114114116116116116117116116112113113114115117117116114116115115114115114115114115116116117119117117117117116116117116116116116116116116116117118117116114113112110108107106107107108110110111111110110111112111109110109106106106106105105105105105105105105105105106105105104104104104104104105106107107105106107108108108109108109109109109106104999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999106106107106107108999106101104105105104103102103103101103104105106106106107106106106106105106105105107107108108109110110109109109110111112112111110112110110110109108109111110110110110109109108109108108106107106107108107107107107107108107106107107107109107109106107108108109108110110111111110110110109108109109109110110110110109110109109108107108107106104104104102102100 99 99100102101102103103103103106105104105108106104105106106105105105104102100 99 99 98 98 98 97 97 97 97 97 97 96 95 94 95 96 96 94 94 96 99 99 97 98101100101100101 99 99102100 99101100101101101 99 98 98 99 98 98 97 98 98 98 97 97 97 97 94 94 93 93 92 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999127127999999127130130129129127126999999999999999999999999999999999999116116 99 98 98 98 98 99100100100101102104108111112113114115115116116115115113111110111112115115114113113114115115116116116116115116116116117118118118117118117117118117116116116116116116117118118117116113113113110109109108108109109110111111110110110110110110109109107106106106107107107106107105105105105105105106105105104104105105105105105105106106106106106107106106107106107108108108106103999999999999999999999999999999999999999999999999999999999999999999999999999999999999999104105107107109109109109110108106104103105106105105104104104103105106107106107107106106107107106105106108108109108109107108110109108109109112110110109109110110108108109108108108110109109110110109108107108109108108108108107107108108107107107107107108108108108107107106105108107107108108109109110109110110110110111109109109110110110109109109109109109108107107106105105105105103102 99 99 98 99101102100102101101101101104103105103104106105105104104103101100 99 97 98 97 96 97 98 98 97 97 96 97 95 95 95 95 96 95 93 95 94 96 97102102102100103102 99100101 99101101102100 99 99101102101 98 99 99 98 99 97 98 98 97 98 96 95 94 95 93 92 92 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999129129129132131130130130128129999999999999999999999999999999999999999104102100103100 98 98100100100101102103107110112113114114115114114113113112111111110111113112113111112114116117117118118117116115116115117118118118118117117117117117117117116116117118117117118119116115113113110109109109108109111111112112110109109109109109108107106106106107107107107107107107106106106105106105104104104105105105105105104105106106107107107105103104105106106107107106105104999999999999999999999999999999999999999999999999999999999999999999999103102103999105105106107108109109108110111111110108107105105105105105103104103105106105106105106108106107107107107107107108107108108107107108108110109109108108109108108108109109109110110109109109108108109109108109108108108110109108107107108107107107107108108107108107106107107107108108109109107109110111107108108109110110109110110111110109111109110109110109108108108108107107106105105104105104102101100100 98 99 99 98 95 97100999999999999999100101103103102 99 99 98 98 97 96 96 97 96 96 97 97 97 97 99 96 94 94 94 95 96 98 93 95 92 99 97 96 98102101101 99 99 97100100102102102100100100 99102102101 99100 98 98 99 99 97 98 98 97 95 94 92 91 89 92 91 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999131130130129129129130130999999999999999999999999999999999999999999118115106102 98 98100101101100101102104109113114115114114114114113113113111110110110110111110111113115116117117117118117118115115116117117118118118118118118118119118119118117117117117117118119118116115114112111111109109109109111111111109109109110109109108107107107107107108108108107108108107107106106105106105106105105106105105105104105107108107106105105103103104104103105106106105104104999999999999999999999999999999999999999999999999999999999999999999999999101104105105106106108108107109111111110111109107104104104105105104105104105106105105106106107108108108108109108107107108107108109109109109110109107106109109108108109111109110110109110109108109109109108108110109109107108108107108107108107107107107111109107108107107108107109109109109108109110109109109107108108110109109109110110110109108108109109108109107108108108107108106105104105105105104103100 98 96 97 96 95 95 96 97 97999999999999999 98 98 97 96 95 96 97 97 97 97 97 97 97 97 97 96 96 97 97 96 95 97 96 96 96 93 91 97 98103102102103104102100100100102102100103105102103102100102102101101 98100100100 99 96 97 97 96 96 94 91 91 90 90 87 88 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999132131131130130131999999999999999999999999999999999999999999999120109110103 98100100101102102102102104108110113114115115114115113112111110109109110110110111113115115117117118117117117116116116116117117118118118118118118118118118117117118116116115117116117117117115115114112112111111110110110110109110110111110109109109109109109108109109108107108108108108107105105105106106106106105105106105104105106108107107107105104103103103103103106108106105105104999999999999999999999999999999999999999999999999999999999999999999999103102102103104104104105106106108110111110109107106104104104105106106106107106107105107108108109111111111110110111109109109109109109108109108108108109109106107108110109108108109108106107109109110109109108109110109110109109108108107106107107107107107108108106107108108108108107108108108109109109110110110109109109110109108109109110109108107108108108108106107108108108108108106107107106106106104102 99 97 94 95 95 94 96 95 96 93 95 98 95100 93 89 88 91 94 96 96 96 99 97 96 98 97 97 96 95 95 94 96 96 97 97 97 96 97 97 94 93100101104103103106100 95 98100101102102101102105104104103103102105102 99102102101101100 97 97 95 94 93 91 90 92 93 92 91 89 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999132130130130130131999999999999999999999999999999999999999999999106106107104 99101102101101101103101103105108111114115115114114114114112112111109110111113114116117118117117117116115116115116115115116116117117117117118118118118118117118117116116115116116116116116116115115113114112111112111111111110111111111111109110110109110109109110109109108108108106107107106106107107107107107107106106106105105106106106106106105104102102100101106106107106105105104999999999999999999999999999999999999999999999999999999999999999999999102102104102104104104104105105106108110108107107106104105105106106107107108106106108108110111111112111113112112111111111110110109109108108108108109108108109109110110110108106108108108110109110110109109109108109109109109108107107107108107107107109108108108107107108107107108108109108108108108108110111110108109110109107108108108108108107107108108108108105107107107107106107107107107106107106106103100 96 96 95 96 96 96 95 96 93 93 95 95 95 95 91 90 91 94 95 96 95 96 96 96 97 97 95 95 95 92 93 95 93 95 97 97 97 94 96 97 92100 93 93103103101102101102103100102 97101103101102100102100102102100101101101102100 98 99 96 93 93 92 91 92 91 92 92 92 90 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999132131131131131132999999999999999999999999999999999999999999999105106107102101103103103101101104103102104105108111113113113113114112113112111111111113116117118118119119117116115116115113114115114115116116117117116117116116117117116117117116115116116115116115115115115115114114113112111110111111111111110111110111111110109110110110109108107107107107107107108107107107106107107108108107106107106106106105105105103102102101 99 99102105106107106105104105105999999999999999999999999999999999999999999999999999999999999999999101102103102103104105105105105105106108108107107106106105106106106108108108109109110111111113112111111113113113113113112111110108108109109110110109108110111111111110110109108108109109108109109106109107108109108108108108108109108108108107108107108108109109109109110109109109108110107108109108108108108107108108109108107108108108108109108109108108108108109108108107107106108109108108108107107104103100 99100 98 97 96 97 96 97 97 96 94 96 95 94 93 93 94 93 92 93 94 95 95 95 94 96 94 94 95 94 89 89 91 92 94 95 94 93 97 96 93 92 92 95103103101 98 99100102100101 99101101101104 98103103100101102102101103101 96 97 97 97 98 96 93 92 92 92 92 91 90 91 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999134133131134134133133999999999999999999999999999999999999999999101105106104101103104103104103102104104104104105108109110113113112113112112112112112113116117118118119118117117117116117117117116115114115115115115115114114115115115116115116116115115115115114114114114114114113113113111111110111111111111111109110110110111110109109110109108106105105106107107108107107108107107107108108108107107107107106105104105105104102101 99100100103104106107107105104106104103999999999999999999999999999999999999999999999999999999999999999 99 99104103104104106105105105105106107108107108107106105106107108108109110110111111110111111112111112112113113110111111111111108108109110110110108108109108109110110111111109108108108109107109108109108107109109109109109109108107107107109109109108108107107110110110110110109109109107108108109107108108109109108109108108108107109108108109107108109109108108109109108108109108108108108108107106104104103102101102100 99 99100101 99 99100 99 96 95 93 94 94 94999 93 94 95 95 94 95 94 96 95 95 95 91 90 90 87 91 87 89 89 90 94 91 95 97 97101101 94 97 94 98100100 99100101100102101103103105 99 98 99102 98 98 97 96 94 93 97 96 92 93 91 91 90 90 91 90 90 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999126131133134134999999999999999999999999999999999999999999 99 97103103100100103105104104103104103104103103105108109110112114113114113112112112112113116116118118118118119118117117117117116115116115115115115114114115114114114114115115115114113113112112112112112112112112112111112111111111111111111111111111111111110110110110109109109108107107105105107108109109107108108108108108108107108107107107106105103103104103103100 99100 99 99100102105106105104106104103999999999999999999999999999999999999999999999999999999999999999101104104102104104104103103102104106107107106106106107107107107109110110111111111111111111110111111111111112112110113112112112110109109109110110109109109109109109110111110109107107108109108108108108106108109108108108108107107106107108109108109108109109109110111111111111110108109108109108109108107108108109109108106107107106108108109108106107108109109108108108108107108108108107106106106106105104104104103104104102101101101103 99102100 98 96 93 93 93 94 94 94 93 94 94 95 93 94 94 94 95 94 94 88 88 87 87 86 86 85 86 86 79 96 91 93 93 94 91 91 92 99 97 96 96 99 99 98 99 99101101102103 96101100 97 96 96 93 92 96 96 94 91 89 89 90 90 89 88 87 87 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999133133135135999999999999999999999999999999999999999999 97 93 96 94 97 99103102104104104103104103103103105107107110111112112112114113113112113114114115116118120120120117117116116117117117117117115116116115115115114114114114115115115113112112111112112112111111110110111110111111111111111112111111112111112112112111111111110110110109108108108108108107108108108108108108108109108107107106107106106105105102103102103101 99 99 99 99 98100102103103104107106101103999999999999999999999999999999999999999999999999999999999999102103102102102103102102101101103104105107107105106107108109111111111110111113112112113112111111111111111111112112112113112112111110110110110109109110110110109110110111111109107108108108108108108107108107109109108109108108107108108107109109109109110110111111111111111110111110110109109107107107107108108109108108108108107108109108108108107108106109109109107109108109108108108107106106106106105106105105104104103103103105102101 99 99 97 95 95 92 92 93 93 93 94 93 95 95 94 95 94 94 95 93 91 88 87 87 85 84 84 85 90 85 79 81 89 86 88 85 85 88 88 89 85 90 92 96 97 97 97 94 94 98100104104102100101 97 96 93 90 90 93 96 93 91 87 89 92 88 86 85 86 84 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999132131999999999999999999999999999999999999999999 98 90 93 96100102103103105104104103103103104105106107108110111111112113114113113113113113114114116117119119119117118118118117116117115116117116115115115115115114113114114114113112111110111111112112112112110110111111111111111111112112111111112112112112111111110111110110110110109108108109107108109108108108109108108109108106107106107105104104105104103102103102100 98 97 96 97 98 99101102102105105103101999999999999999999999999999999999999999999999999999999100102102101101102103102103102101101103104106106107107107108107112113113113111112113112111112112111111111111111111112113113112112112112112111111111110110111112111110110110111111111111110109108108108108108108108109109109108109108108109108108110110109109110110110112111110110110111109110110109108107107108109108109109108108109108108109109110109109107108108109109109108106107107107108106106105106106105105106106106103102104105103 99 98 96 95 92 90 88 91 89 90 91 92 92 94 95 95 94 94 93 91 91 90 89 87 85 85 84 88 83 87 87 87 87 82 86 85 84 82 84 82 82 84 82 83 89 90 91 98 95 94 92 96 99100100101 99 98 96 95 87 92 89 91 91 93 90 89 89 87 83 81 81 82 84 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999139133132999999999999999999999999999999999999999999999100 91 95 98102104102104105106104103103103104105105106107108109111112112113113113114113113114116116117118119118117117117117117117115114114113115115115115115115114114113113113112112111111111111112112112112112110111112112113112111111112111111112111112112112110110110110109109109108108108108109109108108108108108108108108107107106105105105105104104105104102104101100 97 96 95 94 96 98 99102102104103101100999999999999999999999999999999999999999999999999999999100100101101102102101102101102101102101104104107106106109110112113113114113113112111111111112111111111111110111112111112113112112111113113112112111111111111110112111112110111109110109109109109109106108107108109109109109108109109109108108109111112111112112112111111112113112112112110109109108108107107108109109109108108107109108109110109110109109109107107108108108108106107107107108108107106106106106105105104104103104104104102 99 96 94 92 91 91 90 89 89 89 89 89 91 92 93 94 92 92 90 88 86 87 88 88 87 87 87 88 89 89 86 87 85 83 83 81 83 83 80 81 79 77 78 80 84 86 87 89 84 81 92 86 86 89 97 97 86 88 93 93 93 92 88 88 92 94 90 85 85 83 80 78 81 83 84 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999133137134999999999999999999999999999999999999999999101 92 97100103105104105105106104103103103105105105106107109109111113112114113113113113113114115116116118117117118118117116115114113113112113113115115115116115114114114113113112111112112112112112113113112111111111111112113112111112111111111112112111112111110109109108108108108108109108108109108108107107107106107108109107107107105105104104105104105105104103103102100 97 95 93 91 94 96100100101101100 98999999999999999999999999999999999999999999999999999108108100101102101102102102101102101102102103104106108107110112113113114114112113111111111110110110110110111110111111111111111111112112112112112112111111110111112112113112111111111111109109110109109107108109109109110109109109109109110109110110110111112111113113113113113113113111110110110109108108107107109109107108109109108108108107109109109110109108106106106105105105106106106107107106107106106107106105105105104103104106104101 97 94 92 93 93 93 92 89 87 88 89 89 90 90 90 91 92 89 86 86 86 85 86 90 88 87 87 88 89 88 87 87 85 84 82 81 82 83 83 82 79 77 78 80 81 83 82 81 89999 90 82 77 87 86 85 87 82 91 90 89 84 88 90 91 93 92 87 84 87999999 86 82 84 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999134135135143145999999999999999999999999999999999999999999999 97 98103104104104104104103104103103104105105106106108109111113113113113113113114114113115115116115118118118119117117115113111110110111112112113114114115115113113112113112112112112112112112112112113113112111110111111111111112112112111111112112112111110110109109109109108108108108108108108107107105105105105107107107108107105104104104105104104103103101102102102 99 96 95 93 91 91 94 96 99 99 99 99 96999999999999999999999999999999999999999999999999100 99 98 97 98100101102103102102102101101102104105106106109110113113112113112112111111111110110108108108109110109109110110111111112112111112112112111111112112112112112113112110110111111110110110110110110110109108108110110110110111112110110110111111111112113113112113113113113113113111110110109108109108108108108107107107107107107107107107108108109109109107107106105105105103105105106106109107107106106107106107104102103105107104 99 97 96 95 95 95 93 92 90 88 89 89 87 88 88 89 88 87 88 87 88 87 87 89 88 89 86 86 88 88 84 88 85 83 84 83 84 84 84 84 83 83 80 80 82 81 78 79 81 80 80 79 77 77 82 84 78 82 83 84 81 84 87 88 86 86 90 88 86 82 83 84 82 83 86 85 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999138134141142145144149999999999999999999999999999999999999999999999 99103105104104104104103103103104104105104105106107110113113114115114113113114114114114115114115116118118118117116114112109109109110111112112113113114113113112111111112112112112111112112112112112112112110110110110110110111112111111112111111111111110110110109109109109108108108109107108107107106106104104106105106105104103105104104102101100101101100 99 99 98 97 95 95 93 94 93 91 92 93 96 97 93 95999999999999999999999999999999999999999999999 95 97100 98 97 98 99100100101101102103103103103104106107107108111112113113113113112111112112111111109109109108109108109109109109111111111111111111112112111112112112113112110109108109110110109109109111109109109109110110110110111111112111110110110111111110112111111110111113113112113112111111112110110110109109108108107107108106108108108107108108108108108108107106105105105104105105105105106108109108105107108105105104104105105106104101 99 97 97 98 97 95 95 94 93 90 89 88 87 87 87 88 89 90 89 89 88 90 89 89 88 88 88 88 88 87 85 85 83 82 82 81 80 82 84 85 86 82 81 80 81 82 81 83 86 83 84 86 85 86 84 81 82 85 82 85 83 84 83 79 85 83 85 87 84 84 86 85 85 85 86 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999138135135135141142146144145999999999999999999999999999999999999999999107105103104105104104104103103103103104105104106107108110113113114115114114114113115114112113114114115115116117117115112110108108108109110110109110110111111111111111109110111111111112111111112112112111111110110109109110110110110110110110111112111110110110110109109109109109108109109108107106107107106105105105105105103103103104104105102100 99 99 97 96 96 96 96 96 95 94 93 91 91 90 90 91 95 96 88 94999999999999999999999999999999999999999999 97 98 99100 98 98 98 98 98 96 97 98100100101102103104106107109111111112112112112112112112112111111111110109108107107108108109109110110110111112112112113112113113113113113112109109108107108108107108110110109108109110110109109109110110111110110110111110110110111110110111111111113113113112110110110110110110110110109108109108108107108107107108109107108107107107106106105105105105104106108105107108109109105107106106106105105105104106105102 99 97 98 98 98 99 99 99 98 94 90 90 91 91 91 92 93 93 91 89 92 91 88 86 85 86 86 86 85 86 85 85 84 83 83 84 82 82 82 84 83 83 85 83 91 85 85 88 91 93 86 91 89 88 86 84 83 82 83 82 79 87 84 83 85 84 85 86 86 86 84 86 87 85 86 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999137138137139141143145149148148999999999999999999999999999999999999999108106104103105104104103104103103102103104105106106107109113114115115114114113114114113113113114113116115116117116114111110108109108108108108108109109110110110110109108109110110111110111111111112112112111110109109110110111110110110110110111111111111111110110110109109109108109109108108108108107106106105104104104104104105104103102102100 99 97 96 96 96 97 96 94 93 92 91 91 90 89 89 89 90 93 93 94 95999999999999999999999999999999999999 97 97 98 99 99 99 98 99 99 98 96 95 96 95 95 97 99102103104105108110110111111113111112112112111111110110110109108108108107107108109109110111112112112112112112111113113113113112110108110110107106108108109109108108109110110109109109110110111112111111112112111111111111111111111111111113113113113112110110111110110110111110110108109108107109109108108107107108107107106106105105105106107106106106107108107108107105105104104105104104104105105105105102 98 98 96 96 98 99 98 99 98 96 93 93 92 93 93 93 94 94 94 94 93 90 86 85 87 88 88 85 87 88 87 85 84 85 85 85 85 84 85 89 91 92 91 92 91 92 91 89 86 86 87 88 88 87 85 87 88 83 80 81 82 85 86 88 82 86 87 85 83 81 86 87 86 86 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999143135138138139141141144146146147147146999999999999999999999999999999999999999999100102105105104104103102101102104104105105107108110112113114115115113113114113112114114114116116116116115115112111110110109109110110110110110111111111110110109109110110110111111111112111111110110108109109109109109110111110110111110111110111110110110109109109108107109108108108107107106106105104103103103104103103104103101101101 98 98 95 97 99 97 95 94 93 92 91 90 90 90 89 88 89 90 92 92 93999999999999999999999999999999 97 99 98 98 98 98 98 99100 99 98 97 95 94 93 92 92 94 98 99103105107109111111113112112110111110109109109109109110108108107107107106108108109110111111112112112113112111112113113113111110110110108108108108109110109107110109109109110109110111110111110111113112113111111112110112111110111113112113112112111112110110111111110110110110110108107107107107107108107107108107107106107107106106107108107106106106107107108107106105104104105104105105106106105105103100 96 95 94 95 95 95 99101100 99 94 94 95 94 94 96 97 97 97 96 93 89 88 89 87 86 86 89 91 91 89 85 86 85 85 84 88 89 90 95 95 95 95 91 95 93 85 83 87 87 86 87 86 88 90 90 88 85 83 87 86 86 85 85 87 87 85 80 83 82 85 85 84 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999134134138139139139141143147145146145140999999999999999999999999999999999999999105101104104106104103102102 99 99102104104105105106107111112114113116113112112113114113113115116117117116114114112112111110111111110111111112112111112112111111110110111112112112112112111111110111110110110111109108109109110111112111112111112111110110110110109108108108108108108108108107106106106105105106105105104101100101102102101 98 98 98 98 99 97 95 93 94 93 91 90 91 91 91 90 90 90 92 92 93999999999999999999999999999 96 98100 99 98 98 98 98 99100100 99 96 94 91 91 90 90 92 94 98103105107109111111112112111110110110109109108108107108106107108109108107108109110110110110111112112112112112113111111112111111110110109109109109108109109109110110109110109110109110111112111112113113112113112112111112112111111112112112113111112112111112110112111110109109109110109108107107107108108108109108109109108107107107108107106106106106107108107106105104104104104105105105107106106105104101 98 97 95 95 95 96 99102100101 99 99 98 98 98 99 99100 98 98 95 92 93 94 93 92 91 92 94 95 93 90 91 91 89 92 91 90 95 94 95 95 95 96 94 94100 99 92 91 92 90 92 92 94 93 91 89 86 90 87 88 87 86 85 86 92 83 83 83 85 85 85 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999137130134135138138138139139140141141142144141142999999999999999999999999999999999999999 98102104106105104102100 98 98 99101102102102103105106109111112112112111111113113113113115116116117116115113112112112112113112111111111111112112113113113112112112112114114114113113112111111110109109110110110109108109109110110111110109110111110111111110110108108108108108107107108107106107107107106106106106104100 97100101101100 99 97 99 98 98 97 96 94 93 92 92 91 91 92 91 91 91 91 92 93 92 92999999999999999999999 96 97 98 99 99 98 99 98 98 98 99 96 95 94 94 92 91 90 89 90 93 98102106108109111111111112111109110109108108107107107107106106108107107108109109109110110110111111112112112113112111112113112112111111110111110109110108110110109110110111110110111111111112112112111111112113113112112112112112111111112112111111111111111112111111110111110110109110108106106106107107107109109108108108108108108108108108106106105106106105105106106104103104104106106105107106105103102101 99 99 99 97 97 98100100100100100102103101100100100101102103101 95 95 95 93 93 95 94 94 93 93 95 96 96 98 97 98 93 93 92 92 95 96 98 94 94 94101 92 90 94 90 92 94 97 94 93 90 88 86 84 87 86 83 82 84 85 86 88 84 85 85 86 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999138130135134135136136136136136137140143143143142999999999999999999999999999999999999999999 99103105105103102 99 97 96 97 98100 98 99 97 98100105109111112108108111111112113113112113115115115115114113113114114113112111112112112112112113114113114113112113114115115114113113112111111111109110109109109110109110110110111110109111111110110110110108108107107106106107107109108107106107107107107106103100 98 98 99100 99 98 99 96 96 96 97 96 95 95 93 92 92 91 90 91 90 91 91 91 91 91 92 92 91999999999999 98 98 98 98 98 98 99 99 99 97 97 97 97 95 94 93 95 93 91 91 90 90 95 99104108110111112111112112110110107107107107107107108106106106106107108108108109109109110111111112112112111113113113113113112111111111111111110109110109109109110110109110109110111112113112112110110111111111111111111111112112111111111111110110110111110112111111111112109109110109109107107106106106107108109109108108107107107108107107105106106107107106106106106107106106105105105105104104102101101101102100 99 97 97 98 99100100100103103104104102100100101101100100 99 96 96 95 96 97 95 95 95 96 97 97 98 98 98 98 96 93 93 97 97 96 96 97 98 98101101101 98 96 97 98 98 98 95 93 92 87 87 86 86 85 84 87 86 87 87 87 88 90 89 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999137129132131133134134135134134133137139141143142144999999999999999999999999999999999999999 97101104104103101 98 94 93 92 95 96 96 95 94 94 98101104108111108107107109112112112112113114116114113114113115114113113112112113112111112112113113113113113113114113113114114113113112112111111110110109109108109109109109110110111109109111110109107106104104104103104105107107107107106106106106107106105102 99 98 97 97 97 96 94 94 94 94 95 95 96 95 94 92 91 91 91 91 91 91 91 90 92 91 90 90 89 89 91999 96 97 98100100 99 98 98 99 99 98 96 97 98 97 96 95 93 93 92 92 91 92 90 96101103109110111110111111110110108108107107109108108108107106105106106108109109109109110110111112112112112112112112112112112111111110110110110109109109110110110111110109110109110110112109110112111111112110110110110110111111111111111111110109110110108109112112112111110111109111111110109107107108107107108109108108108108107107107107106106107106105106106106106105106106106108106106104103104103101102102101101 99 97 96 97 98 99100101102102104103103103101103102103100100 99 98 97 98 96 96 96 96 96 97 97 98 98 99 97 96 99 95 95 95 95 96 97100100 98 98100 99 97 98 98 99 99 99 97 94 90 87 87 88 87 89 88 89 90 90 91 92 92 94 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999132128130130131132132133132132132134139141142144999999999999999999999999999999999999999999 92 98104105104101 97 93 90 88 91 92 92 93 92 92 94 99102106107106106106108109110113113114115115113113113115115113115113113112113111110110110110110110111111113113113112114114113112113112111111111110110109111111109109109108108109109109110108106103102102101101102102103106107107107106106106105106105105102100 99 98 98 95 93 92 93 93 93 93 94 94 95 94 92 91 90 90 89 90 89 90 90 89 89 88 88 87 89 94 95 96 96 97 99101 99 98 98 98 97 98 99 98 99 98 98 96 94 94 94 92 92 93 97 99102104107107110110110110110109108106107107109109109108107106105106107108109110110110110111111112112112112111110111111111112110110109109109109109109109109109110110109109109110110110111112111112111112110111110111111110110111112111111111110111109110110111111112112110110110110110110110110108108108108107107108108108108109107106107106107106107106106106107107107106106107107107105105104104103103102101102101101 99 99 99100101101100 99103103103103103104102102100101100102101100 99 99 99 98 98 98 98100100 97 98 98 98102101101100 96 96 98100100100 98 99 99 99 98 98 99 99 99 97102102 94 96 94 93 94 92 94 94 94 94 97 96 97 98 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999130128130130129128129129129129130130134138139139999999999999999999999999999999999999999999999101 96103105103100 97 92 89 85 85 89 88 91 91 92 94 96 98101102103104105107107108111113114114114113113113114112113113113112111110109108108108108107108109110111111111111113112113113113113113110110111110110111110109110109109108108109109109105104100101100101101101101103106107107107105106105104104104104102101100101 98 95 93 93 93 94 94 93 93 93 94 94 92 90 90999 90 90 89 88 89 87 89 88 92 87 89 92 94 96 96 97 98 99 99 98 98 98 97 97 99101102101102100 98 96 94 93 95 99103101101102106108109110110109109108108107105105109110110108106106105106107108109110111111111111111110110111111111111110111110111109109109109109109109107107108108108109110109110110110111111112112111111112110110110110110110110110110112110112112110108109109109110111112110111111111110111110109109108108107107107108108108108108108108107107107106107107105106107106106106106105104105105104104105103104101100100100100101100103103103103102103104104103102103103103103102102103102100100 98 99101101100100101100101 99 99100 99102103100101100101101102101101101100101102101100100103100 99 99 98 96 95 96 95 95 95 95 95 96 97 95 99 98100 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999132134129129128127128128128128129131132137137137999999999999999999999999999999999999999999999999 97101103104100 97 92 89 86 84 86 86 90 90 90 91 93 94 97 98 99102104107107109111113113112112113113113112112112112112112110108107106105105106107107107108109110110111111112112113112113113112113112111111112111111110110110109110110109107104103102100 99100101102104104105106105105105104104104104104105103102101100 99 95 93 92 94 93 92 92 92 93 93 93 92 90 90 91 90 89 88 88 87 87999999999 91 90 93 95 96 96 95 96 97 97 98 97 97 97 99101102103102105103102100100 96 99 98 99 99101102105108108109111110109108108107105106109109109107106105106106108109109110111111111111110110110110110109108109110109109109109109109108108108108108109108108109109108109109110111111112112111111110110110110110110110110110110110112111110109110110112111111112112112112111111111111111111110110109108108108108107107109109108109108107107106106106106107107106107107106107105103105104104102102101102101100100100103100102105104103104104104104104103103102102103103102103100100100100100101100100100100105102 98101100101104102102104103101101101102102102102102 98101100104101100100 97 99 98 98 98 96 97 94 94 95 98 96 99 98 99 99 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999132130129129128129129129130131132133135136136136999999999999999999999999999999999999999999999999 94100103103101 98 95 92 89 85 85 87 89 89 89 89 91 93 94 96 98100102104107108109110110111112112113113113113112113112111108106105105105105106107108108109110111111110111112112112112113113114113113112112112112112111111111111110111110108104103104104103104104104104104105104104104103103103103102104103102101 99 97 96 93 92 91 92 92 92 91 91 90 91 91 91 90 90 90 88 86 86999999 92 95999 94 94 96 96 95 95 95 95 96 97 96 96 97 97 96 99100101100101103104106104102100105100 98100101103105107108109110111110108108108107108108109108107106105106106107109110110109110110111111110111112111110109109110110111109108109109108108108108108109109109109109108108108109110112112112111111111111111111110110110110109110110110111111111110110111111112112112113113110111111111111110110110109108109109108109108108108107107108108109108107105106106106106106106106105106104104102101102101102101100102102101101103103103103104104104104104103102102101102102102102101102101100101102101100100 98101103 99102103103104102103104103104102101103103102104103103101102102103102101102 98 97 97 98 99 96 98 96 96 96 97 97 98100100101 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999130129129129128129130130132133133134134135136137134999999999999999999999999999999999999999999999999 91 95100102101 98 95 93 90 88 86 86 87 88 86 86 87 90 92 95 96 97 99101104106107107108109110111111111112111110108108106105105104105105106107108109110110111112113113113113113113113112112113114113112112112113112112112112111111112110108105102104104105105104103104104104103102101101102101101100100100 99 98 96 95 93 91 89 90 90 90 91 91 92 91 90 90 89 89 89 91 89 87999999999 92 95 96 96 97 97 94 94 93 94 96 98 97 96 96 97 97 97 98100101100100100101102105102103102106106101102103105107108109109110109108109110108109109109108108107106106107107108110110110110110111110110111111110108110111111111110109109109110109110110110110110110110110109110109109110110111112113112112111110110111110110110110111111111111111112113112111111111112111111110112113112111110111111111110110110109110109109109109108108107107107107107108104105105105105105106105106103101103102103102100102103102101103103105104104105106105103104105105103102102101102104101103101102101 99102102100 99 99100104103101102102103102100101102101103101102102102103104103103102103101101102102101102 98 96 96 98 98 98 99 99 98101 99 97100101101 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999127129129128129130131134135134134135136136137137999999999999999999999999999999999999999999999999 93 93 98101100 97 95 94 91 89 88 85 86 87 85 87 87 89 90 92 94 94 95 97100102103105107107108109109109109109108106105104103102103104105106107108110110111111112113113114113114113113112112112113112112113112112113112112112112113113110107104104103103103104104104104104104103101 99 98 97 96 97 97 95 94 93 93 93 92 90 88 86 88 90 90 90 90 91 90 90 88 88 88 88 87 88 89999999 94 94 96 96 96 97 95 94 96 95 97 97 97 97 97 97 98 99 97 98 99101101100100 99 99101102105105105106105105105106108109109109108109109108109109109108109108107106106107108109109109110110111110111111112111111110110112112112112110110111110111110110110110110110110111110110110109110110110110111113114113111110109109110110110109109110110109110111112112111111111111112110110112112112111111111111111111111110109110110109110109108107108107107107108107106106105106106106105105102101102104103104105102104103101100102104105105104104107105105106105104104104103101100102102102102102102102104101102101100101102103101101 99100 99 99100102102101103103103103104104103105102104103102101102100101102 99101102100 98100100100 99 99101102103103 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999129130128127130131133134133133134137138139138137135999999999999999999999999999999999999999999999999 90 95 99 99 98 95 94 92 90 89 87 85 86 86 87 87 89 90 91 93 93 93 94 96 98100104105106107107106106106105103102102103104104106106107108108109109110110112113113113113113113113112112112113113112112112112111112112112113113113112110106105104104104104105105105104103102102101 99 97 95 93 93 92 93 92 91 89 88 88 87 85 84 86 88 87 86 85 85 87 88 83 83 84 86 86999999999999 93 95 96 95 95 95 95 95 97 96 96 96 97 97 99 98 99100 99100101101102101102101101100101100102107107108109108108108109109109109110110110110111110110109109107106107108109109110110110110111110111111112111111111111111111111111111111111110111110109109110111110110111110111109111111111111110111112112112111110110109110109109109109109109110109111111111110110111110111110110113113112111112112112111111110110111110111111110110110108109109110108107106106106106104104103103104104103104105104105103104105105104100102104105104104105106106106105104105103104101100102101101101101102102103101102102103101102104102100102104103104104103103102102105102102103104103104106106106102102102102102102 99103102103104102101100100100100100102104103 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999135130129130131133133133135137141143144143142140136999999999999999999999999999999999999999999999999 88 91 96 99 98 95 94 92 89 89 87 86 86 85 86 88 89 90 92 94 95 95 94 95 95 98101102105105104103102101102103102104105108108109110110110110110110111111112112114114114113113112111112113113113113112111111111111111111112112112112111107106105104104104105104105104103101101100 98 96 94 92 92 93 92 90 88 86 85 83 85 84 83 86 87 85 83 81 82 83 83 81999999999999999999999 91 94 95 95 93 94 94 96 97 97 96 94 97100100 99100100100101101101101101101100100100 98 99 99101102104106106109108109109109109110111111110109110110108107109107106107108108108108109108110110110111111111109111110111111109108109110109108109109111108110110110111112111111110111111112111110110111112112112112111110110109109110109110108110110110110112111111109109109110111111111112112112112111111111110110110110110111111111110110107109109109109108108108108108105105105104105105103103104104104104105105105104104103106106106106105109109107107106104102100101 99102102102102101102101 99102100101101103104103102103102105103103105103102104104106105105105105106105106108109103102102101103 99100102100100102101100100102100 99100101101104 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999133133129131131133133134136140144144145145143142138999999999999999999999999999999999999999999999999999 89 94 98 97 96 93 91 89 87 86 85 86 86 86 88 89 90 91 94 95 96 96 96 97 98100101102100 99 98 97 99101104105108109111112113113113113113112113113113113113114114114114113113112112112113113113112111112112111110110110110111111110108106105104105104104104103103103101101100 98 95 95 95 95 93 91 87 83 82 82 81 83 82 85 85 85 83 81 79 80 80 82 79 84999999999 91 90 90 92 92 93 94 94 95 96 97 97 98 97 99101101101 99102100100101100 99 98 98 98 99 97 97 96 96 96 98100100101103106108109109109109109110110110110110109108108107106106106107106107107109109109109109111110111109109109109110108109109109109109111111111110111111110110113111112110112110112111111111111111110111113112111111108109110110110110110110110109111110110110109110110111111111111111112112112111111110111110110111111111110110111110111109109109109108108107108106106106106105105104103106104107104104104104104103103106107104107106107106105107106104104101100 99100104104102100101102100104103102102102103103101102103105104101106107104103105103105105104105108102102103102100100100101 99 99 99 99 99100102101100101100100100100101101101 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999129131132132132133134140142144145145145144140136999999999999999999999999999999999999999999999999999 96 91 96 98 96 93 90 89 87 85 83 84 85 86 88 90 92 93 93 95 96 99 99 97 97 97 96 97 97 97 96 97101104106108110113113114114115114115114115114114114114115114114115115115114114112112113113112112111112111110109109109108109109109108107106105105105105103102102101100 99 99 99 97 96 96 95 92 90 87 82 80 80 80 81 83 84 84 84 83 82 81 81 81 79 77 79999 90 90 90 91 93 93 94 95 95 96 95 96 97 98100101101104104103103102102100100 99 98 98 98 98 98 96 96 97 97 96 94 97 98100101103106108109110110110109110110111110109108107107107106107105106107107106108108108109109110110110108109111111112111110110110111110111113112111112112113112113112112111111111111111111110110110111112112112112108110110109109110110110110110110110110110109110110111110111111111112113112112111111110110110110110110110110110111111108107108108108108108108108107106105105105105107105105107106105105106103103103106104106106106105105104103103103104102100100101102102101101102103104101103101105106106101103104104104105104104105103104103100102104101102103102102 99104101100101100100102100102102100100101100101101102101 99100101100 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999128130131132134134135138141143144144145145144141140999999999999999999999999999999999999999999999999999999 88 92 97 97 93 90 88 87 86 85 86 86 86 88 91 92 92 93 93 95 99 99 98 97 96 95 95 95 96 98100104106109110111113115116116116116116115115116115116116116116117116117116116114113113115114114114113113112111109109109108108109109109109108107107107107106105104103102100 99 99 99 99 98 96 93 92 88 84 82 82 82 83 84 85 85 84 84 84 83 83 82 80 78 79 81 83 88 89 91 93 96 97 97 97 96 95 95 97100103105105105104103102102102100100100100100100 98 99 99 98 98 98 98 98 99100101102104105107106109110110110110111111110109108108109109107108107108108107108109109107107110109111109109109110111112111109109109110111112111112111112112112113113112110111111113113111112110110111112111112112112111110110109110111110110110110110109109109109109110110110110111111111111111112111111110110111109110110110109109113111111110109109109109108107108106105105104106107106105106107105106106106106104101103105107107105102103103105106105104103104102101100102103105109100101104103 99102103104103102102102102105102103103103105105102102102102102102101101100101 99 99 99 99 98101101 99101102 99102102102103102101101101101101 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999131130132132133137139140141142143144145145145145141141999999999999999999999999999999999999999999999999999999999 89 96 98 94 90 88 87 88 87 85 85 84 86 89 89 89 91 91 91 95 95 95 93 93 94 94 95 98100102105107111113114115116117117117116115113113113113114114115116116116115116114115115116116115113114114113112111107105108111111111110110110110109109108107106105104103101100 98 97 97 98 97 95 94 92 86 82 82 81 82 85 85 85 84 83 83 83 82 82 81 81 78 79 80 82 82 82 85 92 96 98 97 97 96 96 96100102105106106103103102102103103101101101100 99 97 97 96 94 92 92 93 94 95 97 98 99101104103105108108109110110111111111110110109109110110110109109109109109110110110109107109110110110109110110111110110111111111111112113111112112112112112112112112110112112112113112112112111111111111112113111111111110110110111111111111110110110109109108109109109110110111111112112112111112111110110110110110109108110109110110110111110109108109108107107107107107106106107106106107108107106105106104103104103104105105100105107106105103105103100100102 99 98100100105102106104103 99 99100103105107106102102105106105108104103103104105102101102 99100100101100100100100100100100100 98 99100101100101101101102101101103102101102 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999132132134134137138139140141142143145145145146142139999999999999999999999999999999999999999999999999999999999 89 90 98 95 92 89 87 87 87 86 86 86 86 88 88 89 90 90 90 92 92 91 91 92 93 95 96100102104107109111113114116116117117116114112112110110110111113113115115115114114115115114116114114114114113113113113112110109112112111110108109109109109108108106105102 99 98 98 97 96 96 96 94 95 94 90 85 81 79 79 81 85 84 83 84999 81 82 80 77 77 78 78 76 80 81 80 81 85 91 95 96 95 95 96 95 98102104107106104103103102106105103101100100 99 97 95 93 90 89 88 88 87 88 90 92 94 97100102104104106106108108109110111109108109110110110109109110110110110110110110110108107109110110110110110110110111110110111111112114114113112111112110110112110110109110111111111111110111112111111111112111111112110111112112111110110111111110109108108108110108110110110111111111111112111111111111110109110109110110109109112111111112111111108110109109108109109107107107106106107107106105105106107104102106102101108105104104101101101102103102103102100101101 99101102103102103101 99101102104108108107103102103104105105105105104105107103102104100102100103103 99 99101102100100100102103102102 99101101100103103100101102103101 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999132133135135136138140141141141143145145145145143138999999999999999999999999999999999999999999999999999999999999 85 92 96 92 90 89 88 87 87 89 89 91 89 88 89 91 90 90 90 91 93 92 93 95 97 97100102105109111112113115116117118117114113111109108108108108111112114114114114114113112111112113114114114113112112114113112112112110108108107107108108107106104101 99 98 97 96 96 95 95 94 94 94 92 90 87 83 80 81 81 80 83 83 82 84 81 79 76 72 72 69 71 79 76 78 79 80 81 84 85 89 92 92 93 94 96102105106105103103104102102104105103102101100 99 96 94 91 91 90 86 85 85 84 90 91 94 96 97100102103101106108109109108110109108109110110110109110109110110110110110110110110109109110110110109110109111112111111112113112112113113110111109108109108109109109108110110110110111111111112111112111110112111111111111112111112111110110109109109110110111110110110111111111111111111111112112112112111112110109111110112111113112111111109110112109109108106107107106106105104109106108108105105106105102102104105104104104101100103102104101103100102102102100101102104106102103100 98 99 99104105107107103103102104105103103105106105103103103102102102102100102100104101100 99 97100101101102102 99101102102102103101101101101102 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999134134136136137138139140140142144145146144142138139999999999999999999999999999999999999999999999999999999999999 82 87 94 94 90 89 88 86 87 88 90 91 92 92 92 91 91 90 91 93 95 95 95 98 99100102104107110112114114115117118119117114112111109108108108108111111113114113113113112112111112112113112112112112111113114113112112111110109109108108108106101 97 94 92 91 92 92 94 93 91 92 91 92 90 86 83 80 80 81 79 78 80 77 75 75 76 72 68 69999 65 67 71 74 76 77 80 80 80 82 86 89 90 93 97100103104103103103104103103104105105105104102 99 99 95 92 91 88 88 83 82 86 86 87 90 92 95 96100101103106106108109107108109110109109110110109109109110109109109109109110109109109109110110110109110110111110111112113112112113113113110109109108108107109109108108108107108109110110111111110112112111112112112111112113113113112111112111110110110110110109110111111111111113111112112111113113112111110110110110111110111112111109110110110110109111109106107107106107106107108108109108107104105105104104105105105103105108102102100100 99101100100101100102101102106106110107104104105100105107105108103102104102103105104106101102103101101102102103102101101101103103100 99 98100101 97 98100 99101100100101104103103103102103 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999135136135135136136138139139141144145145145143137999999999999999999999999999999999999999999999999999999999999999 86 85 90 96 92 90 88 87 86 90 92 95 96 96 93 92 92 93 93 95 98 98 99100102103105107109112114114115117117118119118114113111111109107108110111112113114114113112111112112112112112112110110111112112112113112110109109109108107106103101 97 93 91 89 90 92 93 94 93 92 91 94 92 88 86 83 81 79 79 78 77 76 76 75 76 73 67 67999 66 66 66 70 75 78 80 81 81 81 84 86 89 93 99103105104104102103103103104104104106106107104103101 98 96 93 90 88 86 88 85 89 89 88 92 92 95 98100100103105106108109109109109111109111110110109109110109109109109110110110110109110110109109108111111110111110113112112112112111110110110110110108109109108107108108109108108109109110110110111112111112112112111112113113112113113112110111110108109109109109110111110110111111110110111111111110110110110109109110110110110110112110108109109109108109107108108109108108107107108106107108103104104103104105105105103103103105100 98102101104104102105102104102103104104106100104102102104102104105104107107106104104105104104106104103104103101103104103102101100102100101 99 99 98 98 98 97101 98 99101102101101104104103102102105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999137136134135136136136137137138141143145146145141135999999999999999999999999999999999999999999999999999999999999999999 86 88 95 96 91 88 87 87 89 94 98 99100 98 96 95 96 97 98 99100101103105106107109111113115116117117118119119120116115112111110108110111111111112111111111112112113113112111110112112112112113112112111110108107106106106104103101 99 95 92 92 92 93 94 95 93 93 92 94 96 96 93 91 90 90 86 82 81 81 81 80 79 78 70 66 73999 68 67 70 73 75 79 81 80 80 83 85 89 93 98101103104104102102104104105105105105106105107107104102 99 97 97 92 90 87 85 91 90 92 91 93 95 96 99100101104105107108109109110109111111111110110110110109110110110108110111110110111110110110110110111110110112113114113112113112111110110111109109108108109108107106107109109108109109109108110110110109111113111111113112112113112112111111110109110109109108109108108108109109110111110109110110111110109110110110110109109111111112109109108109110108108107107108110107108107107106107107105106104104104104104106105104104103103102102102101102103102106105102102104103104104104105104103104104103103105105107107106104105104104108106104103104104104104101103102100100101102101101 99 99101101100 98102102100101101101102103101102102 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999136130133134136136137136136137138141143144146143138135999999999999999999999999999999999124124125125125122121123999999999 85 87 92 96 94 89 87 86 89 93101102102101 99 98 99100102102103104105107109110111112114116117118118119119120120118116115113111111111111112111111112111111113113113113113113113113111112111112110110108107106105104104103102102102 99 96 94 93 94 94 94 94 93 94 93 92 94 95 95 93 93 93 93 90 88 87 86 83 81 78 70 67 69 69 69 69 71 72 75 79 80 79 81 85 88 94 99102103103103103104104104104105105106105106105106107107104101100100 93 93 91 88 89 93 94 96 98 98 99102102103105108108108109110110111112111111110110111110110111111110111111111112111110110110111112111111110111111114115114113113113112112111110112109110111109108108106107108108109109110109110109110107109110111110111111111111112111111112112111110110109110109108107108108108108109110109110109111111109109109109110110110111112112112110110108109107108109108108109109108107107107105107107104103104104104103103105105104103104104101102101102102102105107107104104107106107105105104104102104104104105104104104107103104105105106106105104105104105104104103102101103100100 99100101102 99100 99100 99100101101101102102102103102104104 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999130134135136136136136136137140140143145145140135131999999999999999999999999999120119118118121126127127125125120110999999 87 86 91 94 89 86 84 87 92100103102102100100100102103104105107109110110110111113114117118119118118119120121120117116116115115114113114114113114114114114113113112111113113112110111110109108105104104104104105105103103105102100 98 96 95 95 95 95 94 93 93 94 93 95 95 96 96 94 94 94 91 90 87 83 80 77 70 66999 68 70 72 73 73 73 75 79 79 80 85 90 95 98101102103104104103104104104104105105105105103103104106106105103100 99 98 95 94 93 93 93 94 94 96 97 99100102104107110109110110111111112112113111111111110111111112111111111111112111112110111111112112112112111112113114112112112113112110110111110110110109110108108107106106107108108109109108107107108109108110112111110111112110112112112111111110110110110109108108108108109109109108109109107107107107109109108109110110110111111112111109110107109106107106107107106107106106106105105106104103103102102102103104104104104104105104102102104104103104103107108106103106108108106106105105104103103105105105103104106103104103104106106107105105106107106104104103103103103101 98 98 99 99 98100100 99100102101103105101102102103104102102 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999129131134136136136136135136138141144142144143138130138999999999999999999999999123123119118119119123124124123125119119117105 87 86 87 92 89 86 84 87 93 98102102102101101101102102105107110111110111112113114115117118118118118118118120121119118118117117116116116114114114114115116113112110110112111110108108108109107105104104103104104105105105105104103102101 99 98 96 95 96 94 94 94 95 96 96 96 93 93 94 95 94 88 78 76 76 72 65 64 66 65 69 72 75 75 75 76 79 80 83 88 94 97100103104103103103102104104104105105105105105104103102104106106105103 99100 99 96 96 96 96 98 98 99101103104106108110110110111111111112112112112111111111111110110111111111112111111111110110110110110111108110110111113112113113110111111110109111110110110110110110109109108108107108108107108108108109109107107110111110110112111111112112112111112110109110109108107107107108108109108108108107106106107107109108108110111110110110110110109108109109108106108106106106108108108106106104103106105106104104104104104106104104105104104104103103104104105104107107108104108106107108106104106104103104104104104105105105105104104103103104105103105104107106107105104104103103102104100 98 98 99101100101102100101100101102103102102103104103104 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999134135136136136136136140141143145145143139133131999999999999999999999999999999124121120121120121122121121121122119113110110 86 84 85 88 87 84 85 92 97101102102101101102103103105108110111111112113114115116117117117117118118117118120119121119117116116114114114113114114116116113111109109108108108107108107107105105104104102103103103103105106104103103103103101 98 96 96 95 95 96 96 95 94 94 94 92 94 93 92 83 73 71 72 67 65 67 66 66 68 70 72 72 77 79 80 82 87 93 97100101100102103104104104104105106104104104104104105103102104106107106104103102103103102103103103102105106107106107109110110109109110110111110109110109110110110110111111111110111109109110110109108109109109110111112112113112112112111111111110111110109110109110109109107108108108107107107106107108110107108109109111112111111111111110111110111110110110111110109109109110108108108108108108107107108109109109109108107109109108109108109107107108108107106108106105105104107108107106105104105107107106105104105104105104105105105105105104105106105106105105108107106106106106108106109107106105105105105105105105105105105104104105103104105107104106106106107106105104105103102103104103104 99 98100100101102103102103105105103104105104104103 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999133134135136137136135136139142143144145138132129999999999999999999999999999999120121121120121121123122120118117117114106111107105999 81 85 86 83 84 90 97100102101101101101102103103106107109110111112114115116117117117117117116116119120119120119117118116116115114114115114116115114112109108108106107106106105105104104106107106107109108109107106107105104105105104101 99 97 97 98 97 97 95 94 92 92 94 93 89 82 70 66 70999 70 69 70 68 68 68 66 67 70 74 77 80 86 93 97 99100102102103103104104105106106106105105103104102102102100102103106106105104104103104103105102104105105106108108109109109110109108108108108108109109109110110111111111111108108110109109109107107109108107108111112112111111111113113113111111111108111109110108109109109109108107108109108107108108109108108110109109110111110111112110110111108109109110110111109109110110110109108109109108109109109108107110108106106106108108108109108107107107107107108107107106107107108107106105105105107105104107107106106106105105106105105105105105105106106106104105107107108107108108108107108108106106106106105107105105105106104105105104102104103104105106107106106106105106105102104102105104103105102 99100 99100102104105104105105104105106103104106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999133134134134135136136134134138137140144142137129132999999999999999999999999999999122122120121119121120120120119117115114108108104100 89 80 81 84 83 83 90 98100101101100101101101101101102104106108109111112114114115116117118117117116118119121121120118118117116116114114114115115115115114112111111108107105106106104106109110111111112113114115113113111108106105105104103102 99 98100101 98 98 95 92 91 93 92 86 76 72 65 73 68 72 74 73 73 70 65 62 62 69 74 77 82 89 95 97 98100102103104104105106106107107106105105105104102101100100102103103103103105105106105105106105105105106106107108109109108108107107108108108108108109109110110111111111110108107108109109107108108107108109110111112110111110111113113113114114113112112111110109109108108108109107107108108107107108108108109110109108109109110110110109110110109109110110110110111111111110110109108109109109109109107107108109107107106106106106108108106107108109108107107109109107108106106104105104107107106104107106106106105105105105106104107106106106106108107106107108108108107109109109108106106107106106107105105106105104105105103104104104103103104104103104106106105102103104106103106104103103104105104101102104103103104105106105107107105105105107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999133133134136138136136135136136136139138136137137133999999999999999999999999999124118118117113112117117119119119118117115112110109103 90 81 79 82 84 83 88 95 99100101100102102102102101101102103105107109111111112113115116116117118117118119119119118118117116116116116115114113114116116116113113111108106107108108108109109109108108112114116116116115115113110107106105104103101 99100100 98 97 94 91 90 89 87 80 74 70 70 70 73 75 75 75 73 68 64 60 61 68 74 78 84 93 96 98 99102104105106105106107106107108108108108107104103101100100101103103102102104105106106106105107106106106107108108108107107106106108107108108107108109109110111111111110109108106109109109110109108107109110111112113112113111112113112114114114112113112111110110110110110109108109110109109108108109111111111111111110111109109110111111111111110111113111111111111111111111111110109110111110109108108108108108108107107107108108109108107108108108108108107107107108107107106106105107106108107107106108107106106107108104106105105107106107107107107109110109109107107108108109108107107107106106106105105105106106106103103102103104104104104105105106107104107106104103104104105106103103103103104105105102102104104105105105106106107106105107108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999135135136137139141142142140140140143140136135141135129999999999999999999999999123118114111110107108114116117118117116115113110105 96 88 82 80 83 84 82 84 91 96 98 99101101102102101102102102102103104105106107109110111112115116117117117117116115116115114115115115116115115115114115116116115113111108107109111110111110108107108111115114112113111110107107112110106104102103102100100100101 99 95 92 91 91 86 77 69 64 70 73 75 75 73 73 73 69 63 61 62 68 75 81 90 94 96 98101104106106107105106106106106108108108107105105104103102101100101101101102103104106107106106106106107107107107106107106106105105106107107108108108109110111112111111110109109108108109109108109107107111112112112112112112112113113113114114113113113113112112111111112111111110109110109109109111111112113112111111111112111110112112111112112111112112112113113113112112112111110110110110111109109109108110110108108108108108109108108107107108109110107109110106108107107107106108105108108107107108106106107105104106106108106108107107106106107108108109110108108108109109109108108108108107107108106106106106106106104104106105102103103104106105105106105105105105105105105106104104105104107105106106105103103104103106105106107107105105107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999133135136138139143145147147146141142144138133133139130127999999999999999999124119115115113106107108108114116116115115114112108100 95 83 79 77 79 83 80 81 86 91 95 97 97100100100102102103102103103104104104106106107108109112114116117117116116114114115113113114113114114114114115113114114114113112109110112113112112112113114114114116114109105102101101104109111107104102102100100102102101 98 96 94 91 87 83 74 69 70 70 72 73 73 72 72 69 63 60 61 63 67 76 85 90 95 98 99103104105105105103105105105106107107108106106105104105104103101100101101102103104105105105106106106105104105106106106104105106106106108108108108109111110112112112111111110110108108109108108110109111110112112111112113113112112111113113113114115114112112113112112112113111112111111112112111114114113112111111112111112111111111112112113111112112112113113113112113113112111110111112110111110109109109110108108108109109109109108108108107108108108109110107108108108107108108109104108107107106107107106107105107104105107106108109107109108107109109108108108109108108109108109109108110109108107107107107107105105104105104103103103104105105105105104104105104105104104104105105106105107107107106107106106105105106106107106106105105102106107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999132134136137138140144144147147146147142142138134139138126131999999999999999999121120116115111110110106110112113112109109109104100 94 89 82 77 76 77 81 80 80 84 88 93 95 96 97 98 99101102102102103103103104103104104105105107108110112114115114113114114113111110111111112112112113114114114114114114113112112112113112112114114115115115113107 97 95 92 91 91 95104104105107103102101100100100 97 95 96 92 89 83 76 73 74 74 72 72 72 72 71 68 64 62 62 63 64 70 79 87 95 97 99103104103103104104105105106106107107108107107107106106104104103103101102102103103104104105105105105104103103105106106105105106107107108109108108110110111111113113112113111110110108109109108109110111111111112112112112113113112114113114114115114115114114114113113113113113113113112113114113112114114113111110112113111112112112112113112113113112112113112114114113113113112111111111113110110110110110109110110110108108108108109108109108107108109109109108109111108108108105105105106107106106107106108105105104106106108107107106105108108106108108108109110108108107106107109109109108108108108106107106108108106106105104103103104103105105105105105105104104104106106105108105105106104110106107106108109107106106105106106106108108107106107108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999128130134136139141141143144144145145146147147145144143134134133128130999999999999119117117111111110110110109111111110103102105 98 94 86 86 81 78 77 77 79 80 80 79 82 88 91 93 95 96 98 98 98 98100103103104104104103103104105105105106107108110112112112113112111111110112112113114113114114113113114113114115115114113113113114115115114114108 98 94 90 87 87 88 88 94 97101106103102100103101 98 97 92 90 90 87 86 81 74 71 71 72 72 71 72 72 72 66 63 63 65 66 70 75 85 92 96 98101104104103105106106107106106107106106107107107106106106104102103103102103103103103104104104104104104104103104105106106107106107106108110110109110111110112112114113113112111110110109110108110111110111111113113113113112113113114114114114115116115114116115116115114114114113113114114113113113113113113112111112112111113111113114113113112112112112113113112110113113113113112112111112112112111110110110110111110109109108108107109110110109109109109109108108109107108111110109108104105106106107107105108106106104105109107108107106106108107108109109109110109108108108108109110109109108108108109109108108108106106106106105105106106105105106106106107106106104105106105105107106104104106106107109107107109108108108109109108108108108106107108108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999134136132135136136141143143144144143144142143145146146145145140132133130133999999999999120113114110111112111112115115113110103102 99 96 90 84 83 78 78 78 79 80 79 78 80 81 83 87 92 94 96 97 98 98 99101102103103104105105105106106106106106105108107109111112111111111111111114114114115116116115115114114113113114114115115114115115114112111107 97 93 91 87 85 85 85 88 92 98102103100100 99 99 98 93 92 88 82 81 81 78 78 73 68 69 72 71 71 72 72 72 66 64 66 67 70 77 82 90 94 97100103103104106106107108107107106105106106106106107107106105103102102103102102103103103103105104104104104104105106107107108108107109110109110111111110111112113113114114113112113112110109110110111110111112112112113113113113113114112113113113115116115115115116116114115114114114115115115113112113113112114112112112114112110113114113111113115113111112111111113111112113114113113112111112111110111110111110110110110110109108110109110110110109109109108108107108109107109110110110107105105108107107106105106107108106108108107108108108107109109110109109109109109109108109108110110111110109108109110108107108106106106107107106106107105106105105106106107108106107106107108107108107105107106107107107107109109109108108109108107107107107107108109108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999133136134134136138139139140141142142140140141143146145148148145142134132133134999999999999120119116112112114112114114115113108102101 95 92 89 87 81 78 77 78 78 79 79 79 80 80 80 84 88 90 93 95 98 99 99 99101100102104106107108108108109109109108107107108109111111111111112112114114116116115114113112111113115115113114115116117116116116113108 99 95 94 90 89 86 87 89 91 95 97101101102 99 96 93 88 85 80 75 72 67 67 69 74 74 71 70 71 69 70 70 70 66 64 66 68 70 76 80 86 93 96 98101104104104105106107107107106106105106107107105105106105104102101101101102102103103103104105105104105105107108109110111110109109111110110110109111112112113113114114113113112113111110110110111111112111112111113114114112114115113113113114116116116114114114113115116116116114115116115115113113114112112113112112112112112113111112113113113113115114113111111112112113113114113113111112112111111113112111110112112109109110109110109111111110110110110110109108109111110110111114110106106106106108108108107109109107106106107105109108108109110110109110109110111110110110110108110110109110109109109108107109108107106107107108107108108107106107106108107108107107106107107108108108107106106107107107106110108111111109110110108108109109108108108109110 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999132131132130131134136139139141142142141140139142145145146147145143139137135134135999999999999116118114113113115116114113113111107106103 95 92 89 86 82 82 81 78 80 82 79 80 80 80 80 86 89 90 93 95 97 99100103104105107110111111112113114113114113111111109108108109109110111112113116117116115112111109109108109112113116115115115117116117114109100 97 97 94 92 90 91 92 94 96 98100102100 95 95 92 90 83 78 78 80 68 65 66 72 71 70 69 69 68 68 69 70 69 67 68 71 72 75 79 83 88 94 96 98102104105104106105106104105106106105105106106105105105105103102100100101102102103102103104104105105105106107107108109109110111111111111109109110110112113114114114114113113113114111110110110111111112111111113114114114114113115115114114115116117115114114115115115115116117115116115115115114114114113113113114114113112111112113111113112112113113113115112112112113112113114113114113114113112112111112111111113112110111109110110111111111111111110110108108109109111112112111109109109110107110108109109109110110109108108106107107107108108108110111108109110110110110109111110110109109110109108109111108107108108108108107107107109108108108109110108110110108107108108108108108108109107106107108109108108108108108109109108108109109110109109108107108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999131131132131130128129133136138139139139140137135138145146146147146144143140135136137999999999999999118120113114117119116115113112109105106104 96 92 89 83 87 91 91 92 94 87 85 83 80 81 84 87 91 90 90 94 99102105106107109111113114115116117117117117116115114112110108108109110111114115117115113112110110107106106106108109115115115114114115113107102 99 99 99 97 96 95 94 97 96 95 97 92 96 91 95 86 82 80 72 72 73 87 60 67 69 68 69 71 68 68 68 68 69 70 70 71 72 76 78 81 85 87 91 94 96100103104105105105105105104106105105105105106105106105105104102100100100101102102102103104105105105106106106106106108109108108110111111112112111110111111114113114114114113112114114113110110111112112112112112114113114114115113116116115115116117116116114113115115116117116117116115115116116116115114113114113114114114112114114113113114113114113114114114114113113114112113114113114114114114112112111112112112111112110110109110110110110111111110109109109109112112115114114113112113114109110110108107109108109107106106107105107107108108108108108110109109110110110111111110110109109109110109110110111108107110109109109108109109109109109109110110111111109109110110109109109110110108109107108108107106108109108107108108107108109110110109108108108109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999132133131129127126127132135137137137137136135134140144144145145145144143139135138135999999999999999117116116115117117116115112111109108107104 95 90 88 89 97100101102 98 97 91 89 84 85 86 89 90 89 89 96 99102105108110113115116117117118119119120119118117117116113111109110112114115117117114112110110107106104102104105107112114116116116112107104101102 99100 98 98 97 97 97 96 97 98 98 95 86 77 73 74 74 72 70 69 66 76 63 68 72 74 70 69 67 68 69 71 71 72 73 75 80 83 84 88 91 93 95 98100103104104104104105105106106104105105106106106106106105104101100100101101101102103103105105106106106107107107106107108109109110111112112112111112113114114114114115114114113112113113112110110112112114113113115116115116115115116116115117117118118117116116116116117117118116117117117116118116115115114114115115116115115113114112113114114114114114115114114114112113113113115113113110110111111111111111112111111110110109110109110112111111110110110109111111112113111111115112110111111110110109108107109109108108107107107108108108109109110108109109109109110111111112111109110109110110110110110110109109110110110110109110110110110110109108108111110110111112111111111110110110110110111110110109107108108110111111110111111110110111112112110109109109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999129130127126127128130131134134134135136136136135133138141137138139140142142139136136999999999999999999121115113116116116116114111110108107104 94 96 94 97100101103103104105104103101 93 88 86 86 90 89 94 98102106108111114114116117119119120121122122121120119119119116113111111113116117118117113112110108106106106103105106109112115117115116108103104103105 99 98 95 94 94 95 97 97 98 97 98 90 81 77 73 73 70 69 68 66 85 69 73 70 75 74 72 71 71 73 76 76 77 78 81 85 87 89 90 91 93 96 98 99100101103104104105106106105104104105106107107106106106106104102101100101102103103104105106106106107107108108109108108109109109110112111111112112113114114114115115115115115115114113112111112112112115115114115116118116117117117116115116116117117119118117116115117118116117117118117116116115116115114114115116115117115116115114114114114114114114113114113113115113114113114113114115114112111111111113111111111111110109109109110111111110111111111111111112111111114113116115114113113113111111111110109110108108109110109109107108108108109109109109110110109108109111112110111112110110109108111111109109109110110111110110111111110109109110111109111110113113113114112111110111111111111109110111110109110111110111111113113111110111111112113110110110109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999127128126123125127128132135137138137137134137137136135135136137138140140141142139136136999999999999999999999119115114116116116113110105103102 99101101 99 99101104105105107106108103104102 97 90 95 95 92 97101103106108111114114116119123123123124123123122121120120119118115114114115117118119116114113110108107107105105107108111113115116115109104105105105108106101 98 96 94 93 95 96 96 94 96 94 87 81 74 69 67 74 67 74 74 73 75 76 77 77 75 76 78 80 82 83 84 84 87 90 92 93 95 96 98 99100100101103104104104104104104104104105106106106106106106107107107104102102102103103103104106106107107107107108109109109108110109110112111110112113114115115115115117114115116115115114113113112112113115116116116117115115117116118119116115116115114119116114113115115115116116116115116116116114116116116114114117116116116117117116117116115115116115115114114115113114114115114112112113114114113110112111111111111110110109109109110110110109110110110110109108110111114115114116118115114113111111113112111111111110111112107108108108109108109109108109110110109110112110110110112112112111111111109110111110110110109110110110110110110111111111111111110111111114114114113113113113111113111111111110111110108110112111112112112113112112111111113113112112111111 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999127128125123124126129133140142146147147144144140136135135135136138139139140140138136133999999999999999999999999116115114115116112107104100100100102104104106105107107107106106105107107105103 99104103105105106106106107109110112115120122122121121121122123123124122120118118116116119120118118116115113113112111110109109110112113115116114110104104106108109111111108102 99 95 91 91 94 97 95 93 93 86 80 74 68 66 74 76 82 81 80 80 79 80 80 81 84 85 86 86 88 90 91 93 94 96 97 98 99100101101101102103103103103104103103104106107106105107106107107107108107106105104103103104105106107107107108108108108109109109110110111111111111111113113113114115115115116115114116116115115113115113115115116116116116116116116117118119119120117115114115120117115114114115115114114115114115117116115114116115116116117119119120119119119120118116116116116116114114115115114114115113113112112112113113112111111110111110110110109109108108110108109109108109108109108110111113116118114116114115113114113112112113112109110111112108108109109108108107108109109111110109110111111108109110111110110112111110110110108109109111111110111109109110111110111110112112112112112113115113115115115115114112112111111113111109109111112111112112114112111113114115115112112112112 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999129127126127130132134134137144150151150151150150150143137135134136137138138139139137135132999999999999999999999999999115115109116112107104102100101101107107108107105105103102 98100103105105106106103105107107107108107107108108110114118120121119119120120121122123120120119118118119119119118117116116115113113112111110111112115116117115112110107107107110110110110109109104 98 92 92 94 94 95 95 93 91 83 76999 72 74 85 88 88 88 87 85 86 86 88 90 91 91 93 94 96 96 96 98 98 99101101101101100100102102102104104104103104104106108108107108107108107108109108108107104105105105106107107106107108108109109109110110111112112111111112112114113114114113114113113115115116116114114115115115116115115115116116117118118118119120121121116116114114117117117114115114114115115114114115116115116115115119118120120119119119118119120120119117118117116117116114114113112113114112110111110111111112112111111111110110110109108108108108109109109107107107109109108108110112112112117116113116116117113113114113114113112109108106109109110110110110112112112110110110111112111109110112113115113112113111110111111111111111111111110108110111112112111108111110113113114115115115114115114114114114113113113112112110111112111113112112113110111112113115114112113114114 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999127128128129132137138139140141149151152150152153153151150147141137138138138138139138136135133999999999999999999999999999999114117109113110108107106102105109108108105105102102101 98100100 99103104108108109106107108108108108109109111114114116116117117118119120121122119117118118119118117118118116115115115114113113114113113115116115112111111109109108107108109109109110110108102 96 97 97 97 99 97 94 92 84 74 79 80 82 87 92 92 91 92 92 93 93 94 95 96 95 97 97 98 98 99100101100101100101101102102103103103104105104105105107107108109108108108107108108108108109108108106105106106105107108107107108108109109110110111112112112112112114114112114113114114113114115116115116115116116115115115116115116116117117116115118120121120120118116114114116117118117114113115114115115114115116117117118120120120121120119118117119119120119118120119117116115116115113114112113114115113111110110111111110111111109109109110108108108108109109108109110109106108109110110110111114116117118118118120118115115115115114115112112112110111111110110110110112113110110111110111110110111111110115112113113113111113113112112111111110111109109112112111111111110111113113113113115116115115116115117116114115113113114111112112112113114112113113113113114113113115114113113114 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999129130129128131137141141143144146152153151151153155155155153151147141138139141139139138138135132133999999999999999999999999999999118116113111112110110107107110109107107109104102102 98 99100102100102105107109107106106108108109111112113115116117116117118118120121122121117116118119119119120119118116115116116117117116117116115116113112112112114113113112111110108110110109110109106102103102102101 96 92 86 83 79 83 87 88 91 91 91 91 93 94 96 97 98 98 99 99 99 99 99101101101101101101101102101102103103103103103105105105105107107108108108108107106107108108109110110110109108107108107107107107108108108109110111112111112112112112114115115114113113113114113115114114114115116116117116115115117117117117117118119118120121120120118118116115115117119120117115113113115116114114116117116118119120119119122120120118117120121119120119121119118116116118116115115114114113114112110109108110111109109109108109110110108108107109108110109109109110109110109110110110113114116117113118119116117117118118117117116112113112111113113112111111113110112110110110109111111111112113111112112113113113111112113112113112111111112112111112110110109111111111111112113113114115115115117117117117116117114113114114114113112113113114113113113115114113115114115115115114 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999132131131130130134136139141143144146149153154154154155157158158155153150145141139140141139139137134131137999999999999999999999999999999114115115113112111110110107108109108109110109104103102100103103103101103106107106107108111112113114114115118120120119119117117118121121120116117118119120120120118118118119120119119119119119117117115112111113112112112110113114114114113113112110110107106106103 94 91 92 94999 83 83 86 90 90 92 91 91 94 96 96 97 98 99100100101100100100100101102102102103103103103103103103104104104105105105106107107108109109108107107106107108110110110111110110109109108109108108109110110109111112112112112112113114115116115115115115115115116116114115115115115115116116116116116117118118118120119119121120121119118119117117117117117118115114114113114115115115114116117119120123122121122121118118118120120118120120120120119118116118117117116116115113113113112111110111111112110111109109109109108108108109109110108108108108110112110110111111114115115115114117118116119118117116119118115113112113112111112112113113114113112111111112113113111114113113113112113113113116113112111111112111111112112112111112112112108113111114114115113115115115113116117118118118118118116115113112113113113113114114115113115115116115114114115115115114 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999131131130130130134137140142143145146147150153155155156157158159158156154151147142140141141139139137134132999999999999999999999999999999999118114115114114113113113114112114113113111106106104105105103104102102103106109112114117119119118118117115118120120119119118116117121120119117119120121119122122121121121120120120120121122122121121118113112110111111111108106104104105109111110111111108108106 98 92 89 89999 81 84 86 89 91 92 92 92 94 95 96 97 98 97 99100100100 99 98 98100101101102102102103104104103104104104104104104105104105105105107108108109108107107107109111111111111110111111110110111111109107111112112112113113114114114114115116116117115116116117117116117116114116116116116116116116116117117116120120118119121121121121120118120117117117117117119118115113114115115116117117118120122122123123122121121118117117119119119120120121120119118118118116117117116117115116114114112110109111109110109109108111109108109109109108107108108109110110109110111110110111115115113113117116117120119120117118118116114113116114112114116112117113112111114113113114113113112112114114113112112114113112112112111115110113110112112112112110110112113112113114115115116115115114117118119119119119118117115114111111112113113114115114115116115116115115115115115115115 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999130130128129131134138142141143144147148149152154155157158159159158156154152148143141141140138139137132131999999999999999999999999999999999999123118114114114113115118119112107106105108106103106106106105105108112115116118121122120122121118116117117120120120119118118119122120118118119121120121122122121122122122121121120123124125123124124119114111110111107 99 95 92 92 96101104105107109110108107 98 91 86 86 84 79 88 92 90 93 95 96 96 96 94 94 94 95 95 95 97 98 99 98 98 97 98 99100100101102102103103104103103104105105104103103104105105106108108108109108108108108110111111112111111111111112111112112112113113113114115115116116115116116116117117116117117119118118117117116117117117116116114115117117118117121121119119122124123122121118118117119117118119119116117117118117117118118119121123122122123123123121121121120119120119120120121122120120120118118119116115116117115115114114112112109110109109110110109110110109108109110107107107109110110110111110111109109111111113111114115120123123121120120120119117117117117117115114115115115115115115115114113113113113113114114114114114114114111113115114113113110113116113113114113112110111111112112113114115114115116117116118119119119120119118116114113112113112113113114115116116116116115115116116115115115 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999131127129126129132134139140142143145145147149151153154158160160159159156154152148143144141141140142140137999999999999999999999999999999999999999124999999111116115115116118114110106108108108109108108108107111114117118119120122120116115117116115116116117118119119118118121123121119120121120120121121121121121121121121124125127128127126124124123117115112106 98 90 89 90 88 93 95100101103107107108106 96 94 82 83 91 86 88 92 94 98 97 98 98 98 97 95 96 96 97 97 99 99 99 99100100 99100101101100101101102103102103103103103104104103105104104106107107107108109107108108108109111113112112112112112111112113114113114114114115116116116116116117116116117116116117118118118117117118118118117117117116117116116117119119117118122120122121124123122118117121120118117118118117117117116116120120121120123126126125125123121120120120120121121120120120120120119120118118119119117117116116115114112115111112111111111109110109110110110110108108110110108108109110110110111112111110111110110114117112114118122122122121120122119120120121120119118118117118119118116114114113114114114114113114114114115115114116114115116114115112111114114114114114115113112111112112114113115117116117116116118117119120120119120119117116113114113113113113114114114114114113115115116115115113114 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999130129128126128129131136138139141144147148151152153155158161161160159157154153148143142141143141143139139999999999999999999134136136999999999999999999999113116114116116113112111112111111112112114110106110116117117117120120121119116117115114113112113113115119120120120123123121122121121121120120122122122121122123125126126129131130129128125123120116111100 97 93 92 92 94 93 95 98 98 99106108108108105 98 86 80 85 90 94 98100101 99 99 99 99 99 98100101100 99100101102103105105104103104104103102100101100101102103103103103103103104105105105107107107107108108109109110110112113113113113111112111113114114114115115115117117117116116117118117116116117119118118118119118118117116116116116117116116117116117118118120119124123123123122125122120119122123119119119119117118118118119122122122123125130128130125122121121121121119120123120120120120120120119119119118119119117116115115114113113112113112112111111112112110110109109108108109108108108109110110112111112112111112107109113114113114115119120123124123124121122124123123121121122118117116116115114114114115116115116115115114114115115115116115116115115113113114114115114113113114111115114111111113113116116116120119116118119119120120120120119119116115113113113113113113114114113114114115115116117115114114 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999130130127129131132135137138141145147148149151152153154155159162163161160158156154150146143143142141144139999999999999999999136133134135131128128128130999999112115113112111109111114115115114113113113109110114118118117117120121122121117115114114112111111112114117119121121124126122122124123123122121122121123122123126128129126129132131130131128124123119116113109102 97 98101 98 90 89 94 94100104106107104 98 90 84 91 96 99101102102101101102102101101101101101101101100101102102104106107107107107106105104102103104104104103101102104104104105104105106106107108109108112112112113112113113114114113113113114115115116118119117117117118118119117119118119118119119119120121119118118117116117117117115116116118118118118119121123123126128125126127124124121121122122123123118120119124122119120123124125128126125124121121120121120121120120120122120120119120120119118118118119118116115116115114113113113113112113109109112110110110109109109109109109108109109110112112110113111110109110111112112114114115116119120121124123123124122122120120124121118118117116117115117116118116116116115117116115115114117115116116115113113114113114113113114112113113114112113115116116116118119119120120119117119119119119119119117118115114114114112113113114114114115116116117117117116115 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999129128131129132137142141143146148149150151151152152153155156159162163162161159158155151148147145143142141140999999999999999999135135134133130128127126126999999999110111111111109113117116115114114113113112114118120121119118119121121120115112112112110110110110112116118119120122124123124125124124124123122121121121123129128127124127132133132133128127124121117115113105107 99108101 86 85 89 93 99105106105 99 93 89 91 96 99101103104103104102101100100100101101101100100100101103104104104106109110110110108108107108107106106105104104105105105105105105106107108108110111113113113114114114115115115115114115115115116117117119118118119120120120120119118120119120121121121120120119120118119119119118117116118118120120121122123122123127129129128130126126122123121120122121119121121121122124127128129126124123122124123122122121120121120120120119120120119119119118118119118118117116115114114113113113114113112112110109112111111110110109111109110108108108109111110111112110110110111110110110111114114114115120123119124123123123123123124125124123119120118118116117117117116118116116117117116116116117118117117118116114114114115111112111111112111113115114114115116115117119118118120120121118118118118118120119119119115113113113113113113114114114115117116117117115115114 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999128127129129134137138144145146148150152153152153154155156157160162163163163162161159156153150146144144144144140140999999999999131132132131130128128129128125124999999106109112111111114117116115113113114115118118120120123120116117120120120118113112111109109109108109113116119119122123124125125125127127125123122122122124129130128126125128130131133130129125123120118118116114111 99101 85 84 92 93100105105101 96 93 94 95 99101101102103103102102 99100 99 98 99 99 99100100100102104105107105107108111112110109109109109108107106105105104105106106106107107109109109110112113114114114115114115116116117116116116117117118119119120119118118120120119121120120120120123124122123122121124125122124125125122122120123127128128128127126126126129131129133131131129127126124125124126123123122125127128127125127126125123123123121122121119120119119120120119120120119118119118118118117118117116115115115114113112113111111112113113113112110110111111110110111111109109110110112111110110109110112112111109110112112111113119123124123126126126125125126124124123121121119118117119117117119117119119118118118117120121119120118118118117118115114112112111112113114115115116115115116117118119120120119120121120121120119117119119119118117114113113113113114115114115116116117118118116115115 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999128128128130133139142143143146148150150151152155158159160162163164165165164164162160158155150148148143145144140135999999999999131132133130130129129130130127124999103103109113110110114118117115116117117119120119120120120118117118119119120118114113110108107106106107110116119119121123126127126128129127127125124124124125129131130125125120121123125124124122120120120119117112109101 97 89 87 94100104105103 97 94 93 93 97100101102102102102101101101101101100100 99100100101101103106108107106103106108111110109109110109109108106104104105106107107109109109110110112111112115116115115115115116117117116116116117117118119119119119119119121120121121121121122122123123124123121126127126128129129129127126125126127129131132132132131130131132133134137133131130129132130130128125124123125126128131130127124127124123123121121121121121120119119120121121121120120119120119117117116116116114115115114113111111111112112111111112112111112112112112112110111111111110110111111109110110108110110110111110110111111111111116121125124124127126125125125126126123120121121121116117116117116118119117117119120120121118119117117115117118117115113113112114113114114115113116116116117117118120119119122120119119119121121119118119119120118114112113113114115115115116116117118116118118118117 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999128127127130129133139140142144147149151152154157159161161163162162163163164164165163162160156150149148145146143141137999999999999132133133134133132130130131130126107102104108110109108112116116117117118118120122121120118118119119118118121121120116112109106103102104106108115119119121124126127128129128128126124124124126126126132131129125124121116121122120116110112116999999999 86 89 93 88 92 99102103102 99 94 92 92 96 99101101102102102101102103102102101102102102102102102104106109109111109106106106109109108109109109109108106105105106107108110110111112112113114114114114116116116115116117118118118118118118119119119119119119119122121119119120122123124123124123124127127131131132134132134133133130132134132133136136138137138139138136135137136138135133130133132130130129127126126129128133130128128128124121121123122123122120120120120121121122121120120119118117116117116117116114115115113113111112112111112111110111110112110110110111111110111112112112114112111109110109110109109108108111109111111110110114120122123126126126127127126126124124123123124125120118119120119119119119118118119119118116120120119117118118118116114113114116116116118117114117116115118119119119120119119120119119121120121119119119120118118118114114115115115115116117117119117117118117117118 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999128128128128129130135139140142146148151154156159160161161162163161161161163163163164164162160156154155152149145143140142999999999128128129131132132131129128126129128107103106108108108110113115116116117119119120123122120121122121121120118121121119116112109104102102103106108113118120122122126129130131130129126126124124125127127130127130131130127125126124121113109999999999 86 85 90 91 93 93 94 98102100 98 97 94 93 94 97 99100101101102103103103104103103102102102105106107106107109110111111110108108108109108108109109109110109106106106107110111111112113114114114114115115115116115116116116117117118119119120120119117118117117119118123122123120121123123124124125125128131132131135134136135136135136136137137136137137137139141141140140139139139139137136134133133132131131128126127128127128130130130131129129125124126125125123121120120120122121121120121119119117118117116116115115115114114113111111111112110111111111112111110112111110110110110109111110111111111111111111109110109111108108109111111111112110111118123125127126126126127128126128127126124126125123121121122122120120119119119119119117119119118118119120119118117118116115117117117116119116117117116117118119119120121121120118120120120120120120118117118116118118114117115116114116118117119119117117118118118 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999128126129129130131132135139141145148150153154158160161162162162163163163164163162164164165163160158158158156154148146146141134999126125127129132134131128125124123124122111105104103105106110112113113115117117120122124123124125126124122122120120121120119114110105104103105105107112119120122123125130130130129127126126124124126128130129131133138135135131129125117113999999999 81 84 89 89 92 93 94 97 98 99 97 94 93 93 95 95 98 99 99100102103103104103103102103104105107108109108110109112113113113114112110110110109106108109110110109108107108109111111113113113114115115115115115116116116116117117117118118120120120119118117119119119119122123124124122125126126126126127130129132132133135135135137137138139141140138140140141141144142141141143141141138138139136136134134132134132133125125128127129129131131132133133130129128129125124122120119121121121121122122120119118118117116117116116115114114113111111112113111110111111112112113113111112111112112113113112111111110111109111108110109109109108108109108111112116116116121125128129126126128127126128129129127126126125125126123120122120120120120121119119119119119120120119119118118118117118119119119117118118116119119117118119121121122122123120122120120120120121121119119118118116116116117117117117118119119119119118119119118 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999130132130129130131133135138140143149151152153153157161163163163164164163164164164163164164165164161161160159158157153150148145142134124122123127131133130126123121122121119115105100100102104107110113114116118120121123125124125126127126124124122119121122122116112107106105106107109115121121120124126129129130129128126126125126132137131131132140142138137134127114999999999999 85 86 84 87 89 93 93 94 95 95 93 92 91 93 94 95 97 99100100101101103103105105105107108110111111111111113113114116117116116115113112112110111110109109110109110108108109109111113114113113114115114113116116116117116117117117118119119119121120120119118118120121120122122123127127129129131132131132131130134136133135134138137138139142143142141143142143141144144140142145143142140141138137137137136136136136128126126125126129130132132135132134132131131131128126126122121121120121121120122118118118117118117117117116116115114112113112113113112112112112113110111112112113112113113114114114113111111112112112110111110109109108111111107113112118116116120124127128127127128129129128130129128126126125126124122121120121120120121121120120122123121119121120119121119121122120120119120119117118117118119120119120121122121122122121120119119120120120120120120118117116116116117119120120120121119120120120120119119 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999132130129132132136139140139139141145150150152153154158161162163164164165164164164164164165165166164162162162162159159159158155152150144145135123124125128129126123122121120118114109102102103105106109114115116119121122124125125126127127126125124122119120122124121114111109108108109111118120122123124125127128128128128129131134138136134133132132139141138137130118999999999 83 80 81 86 87 89 94 95 92 92 93 94 93 92 93 94 94 95 98100101102104104105107109112113113114115115116113115116117117119119117117114114113113112112110110110110110109109109108109112113113114114115114114116116116116118117118117119118118119119119119120118119119120121122122123123129129128130130130132132132135135135136135136138138138142142144143144144143144146146145140147146141142141140141139137139135139128132127127125126128129129130129132132132131132133132127126127125124122120120121120121119120121121119119119118117116115113112114113113113112111110112113112111113113114115114114114114113112111111112112112112112111110110108111112114112115113112116120123125127126126128132130130131129128126125125127124125126124124123121122121119120122122122121120120120121120121123122121119120119120119120122119119120119121123123124123122119119119119120120120120121119122117118119118120121121120121121121121121121121120 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999133130130134139142145146146148150150150151151152155156158160161162164165166165165165165166165164164166167167166165163163162161161158158154148144140123119119124126124123122119116113110104103103104107112116116116119121122123125125126126126126124122121121120120121124119116114112113113115120121123123125126126128129131134136140143145144141137137136133133123122100999999 87 85 83 83 86 87 89 91 94 92 91 91 92 91 91 92 93 93 95 97101106107107107108109111114116118120122120118118117117119119119119120119117116116116115115113112111111110109108108108109110112113114114114115115115115117117117117119118118118118118119118120119119119119120121121122123124126128126128128130130132133134134134134134135137138138138139141142144144145145144147147145146147144145142143140140138138136137135129127127126127128129128129128131130132131132133132135132128127128126124123120121121120120121120120120120120119117117116114114115115114113113113112113114113111112113114114112111112113112111111111113112110111110110109111111111111113111112112111115118122124127130129128129130130132130130128127127126127127124124122122122120120120120124123121122122121120122122121123125124123121123123123124124124123126126123123124124125123122120121120120121121120120121122119118118119120122122121122123123123123124124123 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999134132134134135137141145147146146146146149150151151153156158160161161160162165166165165165165166165167168169169162163163165165166167168166164163156150143135115113117119122121120120119115111107102103106109115116116116117119121122123125125124124123121120122123123120120124125121118118117117118121122123124125127129133137139141143145147147148145999144142130113 97 92 98 97 96 93 91 87 87 87 87 91 93 93 93 92 91 91 91 92 93 93 93 96 99102104107111112113114120122122123123123121121121121120120120120121121120118117119117116116115113112111110110108108109110112113115114116114114115117116116117117117118118118117117117119119119118118119119120122122123125126126127127127126128130135132133133132134135136137139138137138139143143144145145145146146146147142143144143142140142140138138135134133129129129128127128127130126128128130131130130131135134128129131129127126125122123122121119120122122120120120118117116115115115115116115115115113112114114114111112113112111111111111112111111112111112113113112111108109110110109111112111113113115116121122124127124127130129130129130129127128126126126126125121122123123123125123123125124123123123123124123123125126124123125124126126128128127126127128130127125127127128124122121120120120120120121121122122121121121122122124123123123124124125125126126126 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999136132135137139140140143145145145146146148150151151152154157159160161161160160161163164165165165166166167168169168165162167166168168170171166999161166159152143128118113114116116116118118115113110107103107111114115117118120120120120121120120121118118118120122124126123120122125126125122123125124125126126127127129131138141143145145146146145999999999999142130100 96 91 94 96 96 94 92 90 89 87 88 88 91 93 94 93 94 92 90 92 95 95 95 95 97100104110115117118121124125121121120121120119118119121121120120120120119119117117118117116114113112112112110109110110111110113115115115115115115116117117117117118118118118117117115118117119118119120119119122122123124126124124124126127130130133131132134133133135136138140140139138139139142144145146146146147146144144142142143143144142142140137137137134134130128127126127128129126128127131132131129130135135133130129131127127126124120122122120122123122120120120120118117116116116118117116116115115115113113112111109110112110110111111111109111111111109109112110110109109110109109111112111110111115118120123123126126127128129130132130131128129127126127125125125124123124124126127125123122123123124123124124126127128128129128127129131130130131131132130130129127128128129126124121121120121122123122122123124123125125126124125125127126127128129129129129128 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999136135134135140142140141144145144144146147150151151151153154156158158159159159159158162164164164164165166167168169169999166167169170172172999999999999999163161152141125113110112114114115115112111110110105106111112115116117118117116116115116115116117118119122124127127125122121123126125126128128131131130131131130133136140145999146145144144143999999999136123114101101 99 95 95 94 94 95 92 91 90 88 89 93 94 94 93 94 93 92 94 96 93 93 95 99108113115119122123124122120118116115114114114114117118120120122122122121120118118118116116115114114113111111111111112112114115115115117116116117118117118117117117118118117119118118117118120119121121122121121123123121123123123124124125131129130131132130129131136137137138139139138138137138144146146145144146145146146145146148147143142142140139141141141138130127125127127127127125128130130131133131134136136134134135132130132129126121122123122123123124122120122121119120118117115115116116116115115114113112111110110110110110111111111111111110112111110108109109110108109110110111113112111112114116119120122123127126128130130133131131132129129130127124124125124123124125126123126124122122121123123124125127128129132134133134134131132133133135138135134133132129129131130129126123122121122124123125124125124125127128127127128128129131131130133134132132130 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999141140140137135135138140141143144145144145147148150152152152153154155155157156156157158158160162164163163164165167169170169168167999170173173999999999999999999999164159151139124114111112112111110109106107108107106108110111114116117116116115115116117119120121122124127128129127127127128132130128128130132133134135134136137140146145999999999999999999133135135137124105103104108104 99 97 97 95 93 92 93 95 94 95 96 95 93 94 94 93 94 96 97 99102104113119121123124123121118115115111110108107107108113115117118120122122121120117117118117117115115114113112111111112115115114115115115116117118118118119118118116117118119119120120122121118120122121122124122123123124123123125124124124124128132132132133129128130133135137137138138138138136137139143143144145146146147148148150148146146142142140138140140140138130128127127127128126127129130128131133134134134134132133134133132127128128125123123123123124123122122122122121121120119117116115116114115114112113113114114112112112113114114114112113113114114115114112111111111111111113116116115113116120120117119121120123126127126129131130133133131129127127127127126125124125125125126124124124124123124125127128131133134139138138139138138136138138138140138137136134133133132129129128125125125125124125125123125126127129133129129131133133132133135135136135135133 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999144139140139137136137138138140141142144143144146147148151152153153154154154155155154155157157160160161162162165165168170169170170170999172174175999999999999999999999999163158151131120111108108108106104104104104106105106108108110115116116116116116118120120121122123124125128132132132133136137136135134134135137139141142143144144999999999999999123125128130130126119106103102104115113104100 99 97 99 98102102101100101103101102102103105105105104110114119120123125123120117114113111108106105103104106109111114116118120122121120118119117117116116115114113113114115115117116116116116115116118119120120119119119119120119119119119119119119121120122122122123123123122122122123124123123123124125128128129133131131132132133134136136138139139136136136136140143144144145147148150149148146145141140139139141140138134133130128126127128130129129130130130131132135134135133133133133132129127127125125125124124124122122122123123120122122121122117117115114112114114116115116117115115115116115116116116116116118118119117117116117117118117119119120117117121122123118119121119122124127126128129129131131130132130130128127129129128127127128128128128127129130132131133137136135139142143137142140141143141141139141141142138138138135132132132130128126126127125125126126129127130132135133133133135135136136137138138137137136 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999143144141139138136137137138139140143143145145145147147150150152152154154155154155156156156156156159161162162164167167168169170171173172172173175175172999999999999999999999999159154148129119112112108106105105104103103103104104106107111115116116116118118120120120122122122124128130133134134135135135135136137137138141140142143999999999999999999123125127125122119112107105103104115121114111112113110113113111109106110111108107110109110109110109110115120120124126124122118115114111109107105102102102104105107111115117118120121119119119119117116116115114114115116117118118118114117114116116117118119121121120120120120119119119116118117117122120120121122122123121123124124124123122125123124125127127128129130131132130132133134135138138139137135135135137140144145146149148149150146146145144142142140139139136133138131126127128126128128129128129130130132137134133133132131133130130130130127126125125124126124125123123124122122120122123120118116115115115115116117117118117117117117117117116116118116118121120121120122122122121121123123123123126126127125122121119120122128125128128130129129130133133132133132131129130131131128130132133132133135134135136137137139142142142143145143144141145143143145145142142139139136136137133131131129128127127126127128129129131133132135135135134137137138139138141140140139139 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999142144144142143145143140139141144145145145148148149149149150149152153153153155155155156156156156157159161163164163166168169169170170172175175174176175177999999999999999999999999999156151142133117114110110101104104104106104104104103104106109113115117118119119120120120121122123126129131132132133133133136137138139139141140139142999999120999124123124124120118114109107106109115122127119123119114123123126126123121125124120118118117118117118118117116120122123127126123120117115114112109106104102101102104104107111115116119120121120120119118116116116116115117117116118119119120120119117118118119120119122122123121122122121120119116118118120120121120121122121123123122123124125123122124124126127127127128126128131129129130130132133137137136136135135138136138139142146148148147148148148146144142141139138137137135135128127127128128127128128130132132131133135136135133133131130131132132133130131129128128126125126125125124124123122121120119117118116116115115117117117117117117117117118118118118120119121121122122124125125128128127129130129131132130130126123122122123123124126125128128129131131132132130131132133130132133132132133134134136137137136137142141142144144144147147146146146147146146145143142142142142141138135136136135132130129128128127127130131130132134135137139138138139140141140139139140140141140 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999143143144143143145147146143143143146146148149149150152151150149150151153153154154154155154154155157160160162165166166166166168170170171173174176173176178177176999999999999999999999999999152149141134119116118115106104104105109113112110108108105108113115117118119119119120120122124126131133132138137138136134138140141139138139999999999122123124124122120114112110110110108106110119123126128126128129132135134131127126125123123121121122123124123121120121124125127126126123119117115115113110107106103101102104108110112116117119121119119119118118117117117117118118119119119119119120119119118117119116119121122123123125124124123121119118119120120120121121121122123124122118125120124124125127127125127128128127128128129126128130131130133135134135135134137137134136138144145147148150149148148147146145143139141138137135134130128130130129128129132133133133133134133137138136135133133132132135134134133131131129130130127126127125125123123121120118119118117116115114117116116116117117117117118118119120122121125125124127130130134136137135134134133135136134133133129129126124123123124124125128126126128132132132132134134132133134134134135134135136137138138141142144144146144145149149145147149148146146144144142142142143141139138137137136134132129129128128132132133136136137138140141142142144146141143142142143142141140 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999141142144143144146147148148144144147146147148151153154154153152151150152153154156156156156156156157159160163167170172173172172171170172171173174176177177177178178999999999999999999999999999999152150145123125115121118106106106112117119118115110108109113116118118120121120121123129134137136134135134133134136137140142141136127999999999116116120122121118113109109110110111108105112119123127133134135135136136135134131128127125123122122122123122122122123125126126128128126123120118116115114111109108107106106107111112114116119119119118118118118116117117117118118119121120121119120120120119121120119119119120121122122124124124124124121123122122122120119120121122124125120119123124124124127130127128132131130129130124126125129130129130134133136136135137136133133134139142143146149150149149150149148148144145142140138136134131131132131130131132131133136134134134136140136135134135135134135137138137136133133133132131130128128126126125124124121120120119118117117117117116117119119118119118116118119120121123126129131135137137139140140140139136135139141137138139136133129123124123123124126126125124126130129130131132131132133135133134134134136138138137139141141146145147148148149147147148147148150147145144143143142141141141140139137137136136133130132132133134138138141141143144146147147148146146147146145145143141141 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999142143143145145146148148149147147148149150150151154155155156155153151151152154156158158159159159159159160164168170174176177176176175174174173173174176177178178179180999999999999999999999999999999999155152143143123135126119104106115118119119118116114112114118118120121121122127137147152152151151147141142143145145145145141129999999114116112111114118119116112111110112112111107105115121125132135136137137138137135135134132129127125123123123124125127127128128128128129128126123119118117115114114114112110111111111113115117118118118118118117117117118119119119119120119121120120120121121119119121122123121122121124122123124124124124125124125125124123122122120121123121125123119119126126125128134133136137136134128128126127128128129129130134136136134134139135133133133137139142146151150149150151149148145145144141141137136135134132133131130129132133132132133135135135139139137134134134134135135137137137133133133133133133131127131128127125125122121119119119119117117116116117118119118119118117119119123123127130132135138140141143142142141142140140139142139141139138135132129125123124125126124125126125124124124131132131133131133132133133134136137137140142143143142145146147148149148149150149147148148146147145142143143142141141140138137135135134131132134136139139142145146147147150151152152147146148147147145145142140 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999141142143144145146148151151151150151154154155155155156157157157158155153154156159160161161163164165165166168170172175178176174173172173174176175175174176177178181183182999999999999999999999999999999999999150152149147152144133125109117117119119119117117118116118119120122125132144147152153154154154153150150151149148146144130999999113114116112111112114113113112112113113114113114117120126131135136136138138137136135135135133132130127125125128130130131130128128129128128129126122121119117116115116115114114114114113115117118118118119118117118119119119120120120121120121119121122123121122121123123123125122122124124125126126126128126124126126124124123122123122121123123123124124124127128128131136137138140139140133133133131131130127131135135136135134135136134132132132134136140146148149150149146147146146145145141143141138137135134133132133134133134134133133134133137139140137135136137134133134135135135134133132133133134131130129127126126125124123119119118119117117116117118118117118117116117120121122126131135138139141142142143143143141141142144143143140140138139137135132128125125124126125126126124122124124126130131131133133134132133134136136140141144145145145148148146148149151153150150150150148147148146144143143142142142140138137136136133132134136139141143145146146149149151152150151150148148146146144143141140 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999140141143142146147146149152154154156154157158159159158159160160158160159158159161162163163164167167167169170171175179180179177173172171171173176177175175176178179181183184999999999999999999999999999999999999999999152151156155150138139118120119119120119120121120122124124128141151155153154154155154151999999145151144145141131999115114114112114113110111111110111112109113112113112116122126132133136136137137138136136135135134134134133132131131132131131130129128127128128128127124123121119117117116116115116116117117116116117118118118117117118118119120121121122121122123122122121122120121123123123125124124123124124126129129130130131130130130128127123124122122119122123124123124124126128129130135134134134134137140139137138137135134133134134136136137139138136134133133133135137142147147149151148144146145145145144144144143141140138136136135133132135136135134135135136139139139137137137135135136135136136135135133133133133133133131130128127127125123123121121122121121118117116116116116117117117118120121123130135137140141143143142142142144141141142142142144140141140141139137137132129126124125123125124125123123124124126127129132134133132133133135138139141141145146146147148146149151151151151151150150150148146147145147143143143142139138137135134135136138140142143146144147150149150152152150152149149150150146144141141141 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999134139140139140139141144147149153154153155155159159161161159160162161160161161160161162164164164166168168168170172175179180180179178174172172172173174176177177177179179183182999999999999999999999999999999999999999999999999999151152150149146140132127121119121122122123126126130144152156154155154154153156999999999999999143144138121116114113113112112111111110110112111112111113113115117124127128132135137138138138138139139137135133133132132132133131131131129129126125126127127127125122121120119118117117117117117116117117117117117117117118117118119120120122122123123123124124123122122121122122122122122124128129128128127130131130133133135134132137129124125124120121121124123124124125125127129130133135141140141143144143144140140139137136136136136136136138138136137136136136135135138145150148150147145142143144145144145145143143141141139139138137137137136135135137138139139139139139138137137135136136136136136136135134134133134133134133130129127126125124123121120121123117116116116116116116116118119120121123129135139141146144145147143145144144145144142143143143143142142142140140138137135134130128125127127125126126125125125125128131132134133132134135138138140141141147148149150150150152154153152151151151150151148147149148146144141141140138136135137138139140142144145146149150151149153150151152151150150149147144141142142141 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999136138141141142145146144142146150153153153153156159161161162162162164162161161162160162165165167167167166168169172175178181181180180178177175173173173174175177178179180182183182999999999999999999999999999999999999999999999999999999999152155152150148147142132125124125126130133151156145999154154155157158999999999999146145143143139130121114112111109109111111109110113113113113114117120125129130132133137138139138139139139139137134132132132131131131131130129128126124124125126125123122120119119119117117117116117117117117117117117116116116118118119121122122123123123124123125124124122123124125124125126127128129131131131131132134133132132135137137134125130127125124123124125125125125128130133138138139142146148148149151151145145144142140139139139136136139139139138137138137138140138143146150148148146145144144144143142143145142142142142139138138137137136137136138138139140139138140143138139138138137138137138137135132134134134132133133132131129129127127125124123122122120118117116116116117116118119121122127131135141143142144146145147148145145146145144146147147147145144144143142142141141139136136133132134133130131132131127127127127128131132134134133135137136138141142145148150151150151153153152154154152152149151151149148146144143141142140137137137137139141142143145148150152152151150151150150150149149151152146142142141140145 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999140139142144148150152155155155157154152154155155159162162163163164164164162163164165166168171173175175176174172171173177180181182182180178178177177176177176177179179180180183184182999999999999999999999999999999999999999999999999999999999999999154153154150151149152152145148153155158999999154155155156158999999152150149148145142141138134126117113112110108107110109111113114116117117120126129132133134137138139139139139140139137136133131131131131131131131130127126126125125125124123121120119119118118118116117116118118118118118118117118118118119121121122122123123124123124125124123122123124126126126128129135129131134134135135136137135137140139137138137134130127125124125125125126128131133137140141146149148154154152154155151144149146145145144144142139141139139140138136137136136138143146148150148147146144142142141140142143144143142141140138138140139139139137137139140141141140140140140137138139136137138138139136135134133133133134133132132131129129127127126124124122124120120119118119118117117119121123132133136138142145147144147150149149148147148150146147149148148146146147144144143142142141140140138136137138135136136132129129127127126127132134134134135134134137139141143148151150150153153153151153155155155153152151150149148145143142140139137138139140142144143144147152146150152152148148148150150152148149149147145144141141142 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999139139141145151154156157157157157156155156154157159161162162162162162162163164167169173173175176178179179179179178175174177181182183181181180180180179179179180180182183183184185184182999999999999999999999999999999999999999999999999999999999999999999999999999999152156152153157159157999999153156158157157153999152152151150149146144142140138134123117115111108108109110112114117119119123128129130132135138138139139139137136135134132132131130130131131131131129129126126126127126125124123122120119118119119118117117118120120119119120119119120120120121121122123122123124124122125125124123126127126129127128128133136138131137136137138139140140141141139138139138138129127127126127126126129135138142138142144146150153154157157153154155154150149150148146147145142144142140137135135136136137141146146148148149147143143143143142141142142142142142141140137139139140139139140140140140140140139139138140138138138136137138139136135133134131131134134134132131131130128129129126125124123122124120120121121120120118121122126131137139143142143149152150150151150148148153153151148148147148148145147148146145144142144142142143141140140140139139136132131130129128127128131133131133133134136139143146148150149152152154155155154155155154152153151150152149146143141140139138139139142142143144145148148151150152151152151149150149150149148149149144142143143143 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999137138141147150154157157157159161162163164163161161163163164164163162162164167170173174177178179180181182182182182182181180180181182184183184183181181180180180181181181184184185184183181999999999999999999999999999999999999999999999999999999999999999999999999999999999154155156154999999999999155158159156999999154153151148147147146145144140138136129119115111108108111112114116117122125130129129131134137138138137136134132131131130130131130130129130129130129129127126127128128125125126124122120119118119119119117118119119119119120119120121121121121121121123123122123123122124125125124125125124124127129128128131135135141142140140141143143143143140140140142138135130130130129129128129135138141139144146151151151154155158159156155157155151152151151148146144147146145141139136137135138139144147147149152150147144142143142143144141141142142141140141139139139138140140142142142141139140139139139137137135137137136137137137136134136131132134133133134134132132130129130129126123122123122122121122119120121121122129136135140144145146148150152152153152151150152152153153150148146147148145147145145146144143143144144144143142141142142140138139137134133130128127128130132131133133137139143146147151150150151153154154155153153152152152151151150146145143142140139138140141142142142145144146148151149151151150151151149150150150149148147144145144145145 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999140143145150154155157158159161164166167167167166167168166167168168167167169172175176178179180181181182184184185185185184183183183183184185185185183181180180180181181181184184184999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999155157158153999158156154151149147147146147144142999999135131121116110109111113116119121123127128130129130133136139139137134132130130130130130130131130130130130129129128128128128129128126126127125123120118117117118119118118118120118120118120119119120120120120120121122122122124121122123122124126125125126126129134134134136140138138136142144146146146146144143142142144139137136134133134134136136139142143144147150155155156155156156156156157156157152153153151151150148150150148145144142141139142142140147149151152149147145142141141143143141140140141140140139140140140140141141142143142141141141140139139137136136138137136138137136135135133131131132133133134133131131132130127127124123123122122121122121120121122124126134138137141143145147148147151157153153153151154152153152151151149149147148147146145146146147143146145144145141142142143141140140140137136132131130128129130132132133135138141145146147149150152152152155155155153153151152151151150147145143142141140139141143142142143144146146148150151152151151151151151151150150150148147147147145146148 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999142141144146151153157157159161162167167168169168170169168169169169169169169171174176178180181181183181184185186187188188187187186186185185186185185185183181180180181181181184184180999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999156157157999999157155152150147146145144143132999999134134128122114112112114118120122124129128129131132134135137139138135131130130130130130131131131130130130130127127126128128129129128127128129126122119118117116117118118118118120121120120120120120120119118119119122123122123123122121122125125127125127131131133135139140141141144146147148149149150151151151149145145143142142138137139138137137142142144147149150154155156156156156158156156155155153152152152150152152150149149146146145145143144142140144146150151151149147145141140140143142142141142141142141141141142143142144144144142142141141141140138137137136137138135134134134135134131131130130131131132131130130131129129127124122122122122121121120122123122124127132137138141142144146149150150154154153155154153153152153153154151150151147147148148149146145148148146146146147145145145144144143142142140140136133130130129131131132132134137141143145149149150152152154156156155153153153153152150150147146144141141140140142143143142141142146148148152151153151150150151151152151153151147146147147147147150 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999143144143151151155158159161162164166167169169169170170170170170170169170170171171173176177179181182183183183184187188189189189189188188187187186186186186186185183182182182181182184183182999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999156154155155156155152149146143141138135132134135134128122115111113116119122124124125127129130132136137137138137136133130130130131132133133133133132131131129127127127129129130129128129130128123120117117116115116117118119118120121120121121122121120120121121121123124123123124123123124124124126129132133134139139143143144147147148149149151152152153154154152150150149146144138139140145144143144145149150151154156160158156156156155156155155156155154151151151152153149150148147146145145145144143139144149152152150149147144143142142142144142143142141141141141142143143143145143144143142140142140139136136136137134135135134133134133133132133132131131131130129130130129131129126124124124123122122122121124123124129133136139140140142145146150151151152153155153154155153153155155155154154152149153150150150150150149148148146147146147146147145145145143144143142140137135132132133132133133135138142146148149148151151152154156156157156154153153152151150149147144143142140140141142142142142143145147150151153150152153153153153153151152151150148148150149149150 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999142148154154158161163167168167169169169169170171171171172172172171170171171173173175177179181181183184184184186188188190191191190190189188188186186186186186185185184184183182183184186182999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999156157156154153149147143142139133133133132127125119114112114117121121122125126128128128130134137138138137136134133131131131131133133134134133131130131129126126128129130129127128131132129123119117116116116117118119119119121122121121122122122122122122123124124123123124124124125125126127131134138142142146141148148151147147149151152154154155152152153154153154154149150148149149151148150149152153155153157157157160155154154155155156156154153152153153151153153151150148149146143141145144147146148151152154151148147144143143143144143144143143143142143142143144142144145144144144142141140139137136135136136136133134134132131131133131129130132133132132132129128128128126126126126124124123123123124125126129132137138140142141142144147150152153155155154154154154154154154153153152153154152154153152152151150151149148148150148147147147147146146145144144142141141136133134134133134135137142144147149149150151154153155157157158156155153153151151150148148145143143143141142142142143143144146147149151153154156154152152153153152152153151149148148148148148 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999144142149151155159162164166170171172171172171170172173173175177177177177176174174173177178180180181183184184185185187189189190190191191190189189188187186186186186185186186186184181183185187185999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999158159158154151145141139135133131131127124120117115116118121123123124127128128128126130134136138137137135135135135133133132133132133133133132133133128128127127129129130128128130132133129123119118117117117117118120121120121122121122123123123123123124124125126125125125125126127129132135141144146148150150151151151153153150151154154156156153154153154155154156155152150151154155153146152152154155156159160157156156152153153152154155155151151153153153154152151148151149146145143144146146144144149151153153151149147143142142143143143143142143141142142143144143143144144146145144143141139139138136136137137134133133133133131131131130132130132131130132130129129129130129129129130128127126126127129131131132132138139139140141143145147151152156157156154154153153154154154152153153153153151153153153152151150150150150148148149147149147147149147147146145143142141138138136135134135137140142145148148151153155154156157156158158158157155153152151150150149149145145145142142145144142143143145146148149151153155153153154152153153152153150150149147148148149 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999147143148150151152155163168169171172172172172170171173174175176178179180180180180178176177179180181181182184185186185186188189189189190190190189189189188187188188186186999999187186184181183184184186999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999157160159999143142137134133131132128124119119117118121122123125125126127129129130130133135137137135133134134134134134133132133132133133133130132131129129128129127128128129131133136134130123121119118118117117118120122121122123123124125124124124125126125126125126126126128130134139142147149152152153152153152153152152153153155156156156155155155155155154154156156156154153156156156150154154154155157157155154148147152153153152153154153151151151152150152152150148147147144144146144143143142145150152152152150149146144142144144143143142142142143143143145143144144145147147146144142140141139138139138138137136136134133133133130131131131130133130130130130132131132132132132132133132131130130129133133134135136138140139140142143148150152154157158156157155154154154155155154153154153154153152153152152153153152151151149149148148150149149149150148147146144143143139138137136137138141143147148148152152153155156155156156157157158158157155152152152150149148146146145145144144144143143145146146147149150153155154156157155154154153154151150151149149148149 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999180179999999999999999999999999999999999999999999999999999999999999999999999999999999999151147148149156157159159166171171172172173174174174174174174177179180182182182182182181179180181182183183184184184185186186188189190190191191190190189189188188188188188188999999999999186184188187187184999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999145142138136133131128127125123123120120122123124124123124124129130131132133135137136137134136135136136136135135134134134133135133133134130130128128129130129130131131134136137132126125122120119119119120121122121123124125125125126126126126126126127127128130132136139146150152154152153155157156157152154153154155156156155157156156155156155154156156156156156156155157155155157155156157155155154153151153150149153148152149150150151151151151152150150149148147146144144143140142141143148153155153151151149146145144144145144144143143144144145146144144145145145148147146143143141140140139140140138136136136135132134133131130130131130129131131131131131132134135134136136135136135134135134136136137137139140141143142145147150152155156160160158157156155155154153155154153153153154156154155155154153153153152152151151151150150149150149151151150148145145143140140138139140142145147148151150154153153155155155155157157157156158157157156155153152151149149148145145145144144144144146146147146148148150153154157157157158157156157152153155153150148149 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999179178999999178179999999999999999999999999999999999999999999999999999999999999999999157157155155156156160160165166170172172173173174175175175176177178179181182183183183183183182181182183184186187185185186185186187189189190191192191192192191190188188188188189192999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999147145142140137135134134134136136132130130126125125124127126125126124126129130130132134136136136138137137137138137137137136136138138137135135133131133130128130131130131132133135137139137133130127124123121121121122122122123124124125126126126126126127128129131133137141147149153155158160160159158164162160155156154154151156155156156157156155156156154154156155155156156156155155155155155154155153155153152152153153152148149151149150151152151152151149149149151148148145144144141139140140145150153154155153152151149146146145145145144143144145145146146144145145146146147146146145143141142141140140140138138138137135134134134134131131131132133132133133134134135135136137137137138138140138139140139141142141141143145146147148152155156157159161162160157156155154155154154153154153155155155155155156155154154154154152151153152150152151151150150151150148146145142140139139141144147148149150151151154155155156156156156156156158157157157157158157156155153151151150149147146145145145146147148147148148148150151155157159159158159159158158158159157159158154 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999178176176177178178177999999999999999999999999999999999999999999999999999999999166168166164165163160159159166169171172173172173174174174176176177178180180181182183184184184184184184183183183185186186185186186186187188188190191192193193194194195194193190189188189191190999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999144142142141138139141141145149151148142137134131127127128129128127127127128129131131132133134135136137137138138138137136137137135136137131131133133132130128129131131130131132133134136137139138137135132128127125124125123124126125126127127128128130129131133138140145150154156157160163164165163162166168167163163158155154155157156157157157157155154153155157157156157156155155156156156155156155156154155154153153152152151150148152151152152151151152150150149150150147145145143143140140143143148150153155156154153151150148146146145145145144145145145146145145146145146146146146146145144142142142141138140138138138137136136135136135133134134135135136137137137138138138139139140142143146143144146145145146145145147148147151150153155160160160162164164162159157154156155154154155155155155154156156156156156153155154153153153152151152150150151150150150148147145146143139140141144147149150150151152153154156156157157157156156156158157159159158160160158157157155155153152150150149147148149148150150149150150150151155158158159160160160160161160159160161162161 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999176177999176177178178175999999999999999999999999999999999999999999999999999999167166170172171170166164162160165168170171173173174174175175177177180181181181182183183184184185184184184184183184185186186186186187186185187188189190190192193195197197198197197192191192191999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999150149148999999999999144140141141140138141140143142146150150150152151148145143137133130128127127128128127128129130131132132131132133134134135134135136136135131134133133130130132132133130129130130132132132134134135134134135137138138140138139136134134134134135134134134136137138140141146147150153156158159162166168169171172171167171170169167164160158155157158159159158158157155156156157157156157158157155155154156154153155158158156156154155153152153151152153151150150151150151150149149149148147145144144142141142144144147150151155156156155153152148148148146145145146146146145146145146145146147146146146146146146146143142142142139139140139139139139140139138139136138138138139142141140142142144145144143145147148146146148147147148149151151151151154156158159162163161161163165165162158155155156155153155155155153152153154155155155154154153153154152153152151151151150150150149148148148146145142142143145146147149150150152151155156156159157157157157156159158158158159160159159159159159158159157156156156155153152152151151151150149149151154155157159157160160162162161162163164165166167 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999175176178174176178179179177176175999999164999999999999999999999999999999165168166173170171173173173172168164163166168171172174174175176177177179180180181182183184184185185184184185185184184183184185187187187188188188186186187187187188190192193196199198197197194192192190999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999151150150149148144141144143143143142144145143146149150145147150149150152153152150146143144136134132130129130130129128129132131130131132131132133135134132134136135135138137135132129132135135132130130130129132134136135135135133133133134138140140142145147146145149148143150151152153153155156158159158160159162166170173175175175174173171174175171168165162161157156158160159160160160157155157158156159157156156156155155156156155157157156154154154153151153150154150153151150151148149150148148149147147147145146144144143147148148151152155155158155154153152151149149147146146146146146145147147146146147147147147147146146147146145144143143140140140140141141141142143143142142142144144145145144145146147148150149148149148148147145147147148149152152155155156160161162162162162162163165166166162157153154155154154155154155153151153152153153152151150151151152151153152152152151150150149149148148148146143143143145146146147148150152152154156156157156157157158158159159160159160160160159158158159160160162160159159157157156155154154153153152152151153155157158159159160161162164164165165168169166169 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999172172173176177178179180180178175169168162162167163168999999999166164160165167167169173172173174175175174171169166167168170173175176177177177178180180181182183184186186187187186185185185184184184184185187186187188189190189190191190190192192195195197199200198195195193999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999151151150148147146145144143142143143143145145147146148152151151151151151152153153153151149148145140139137136134134133134131135135136136136138137136137141137140140140142141138140134133133132133132130130131133134137137138138137136136134134135137140144149150150152153154155158160161161161162162163163162163162168171175177176174173170171171174174171170165163159155155158160160160160159157156155155156158156156157157155154154155157158157156155153153152153152152153153150150150150151151150148147147147145145144145146146146149151153155157157157157158156153153154153151150149148147147148147148148148147146147148147147148147148147146145145145142140140140141140141144145145145144147147146146146147147147147150147149148147149148148145146147149150153155156156158160164163163162162163165166167167164157154153154154154154154152153153153154155154154152152151151150150150150150151151151150149148147147147145144143144144145146148149151153152155157157155156156158160160163160161162161161161161159159159161161161161159160159158157156156157156156156156156158157159158161161162163165165168169171171172171170 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999180178999999999172173177175179180181181181181180178174171168166167163165167169166165163160163166168170173174175175175176175172169168167167167171174177178178178179180182183184186187188188188188187187187186185186185184185187187186186187187188190191190190192194195195196199200198999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999152152151149148148149150150149148148149150152152154157158159159159159159158157156155155155154154153151149149145144143143143141140143146146149148150148149152153151150150148146142144141135135136135132129131131131132134136138139139139138137137135135137141147151153157159159157161161162164163164163164165165165166168174178179181178175172169169171175174173171166164160155155159161161160160157156155154155156157156157157160157158153154159159158156154152154154154154152150155152152152150150149149147147146147145146146147147146148149151155155156156156157158157157156155155153153152151150150150150150148149149149149149149149149148149148146146145145144142141141141140142144146147144144145146145145145146146146146146147147149146147148148146148151151152153154156158160161163164164162164164166167168168163158156155153154153154154154153153154153154154155155155154154152152151150149149149149150149149148147146145145144145145146148150151153153153155157158157157159160161161164163163164163162161161161161161161162161161161161160161161160160160159159159159158160160161161163164166168168172175178175171170171171 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999176178176176172175176177181182183182183183183182179175172169167165168169168165165163164165168169171173175176176175175175173170169170167167170173177178179179180181183185186187188187187188187186186186186187186186186185186186186186186186186188190192192193194194194197198200999999999999999999181182180999999999999999999999173173174174174999999999999999999999999999999999999999999999999156154152149149148151154153154156158158160161162162164164165165165165165164164164162161160158156155155154153152150152148148146146148151154155156156156156156157157157155154152152149146143138139139132132130130132133134134137138140139140139137135137139142147149154154161162164163165166167167167168167167167166165168172175179181182180176172169168171174171171170167164161157157159160160159159158156156155156155157155157158158158158157158160159157155155154155154156153152153151153152151149150150150150148148148148149148149151149151152153155155158156159160159160159159158156156155154153152152150150152151149149149150150150149148149148148148148147146144144142141141141142144145144144143143144144145144145147147146145145147146147148148147149150152153153155155156158159161163162163163164166167167170167162159156155155154154155154154152154155154155156157157157157157156157155153151149149149149149148148147147146146147146147149151152151152152153156157158157157160159161161163164163166166163163163162163163164163163163164163163163164163164165163165164164162162161162162164164166168171175177172169173172174173 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999172178177181177179181181182183184183184184184184182179175171168165165162165168165166167168168170173175176175175175175174173173175175173176177174177178179180181182184186186187187187187187187185185186185186186187186184186186186185185185186188191193196196196197196199201201197999999999999999182182180181999999999999171172173174174174174173173999999999999999999999999999999999999999152152153152150149152154157159160160163164164165165164165166166165164164164164164164163162162162160159156156155155154151150154154154154154156157158158158157156158157156156155155153151148146141144133134132129130131134135135138140141139140137138137137137143150154156160164165166167167167168169168168167168167168168171172174177178179180177175174170172173171171169168165160157157158160161161159158158157158158159159161160158159160157155154159159158158157156156156157156154153152154152152152152152152152151151152150152152152153152151152155155156157160160160159159160159160159159158158157158157155156156154152153152153151151151152152152151150149147147147148146142141141142144143145144144144145147146146146146147145144144146148148147147147149150151152153154154156159160163163162163163164167168169170168163160157155154154154153152153153154155156156157157158158158159160161162157154151150150149149149148148147146148148150151152153153153153153154156157159160160161160162164167166168168167169168167165167165165165164165166166164165166170170169169168167167164163164162163163164166172175172172173172174173172174 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999179178180180179181182182182184184185184185185185185184182180176174169166164165167170170171173172173174176176176176176176176175176179178177177181177178178180180182183185185186186187187187186186185185184184185186187187185186186185185185186189192195197198198200201202203204204999999999999999181183180183180178999172171172174174174174174174174172170172999999999999999999999999999999999153153152151149152155157158160160161164164164164165166166166165164163163163162163163163164165164164163161158157157156155154154155155156156158159160158156153153152152155156155151152150147146143139138134132129128131132133136138140140140140139139137136139146152157159162164165167168168168167169169168168169168169172173172174176177177180181180178173173172173171170169166162158157157161162163161160161160159161161161163164162163162160159157159159159158158157156158157156156154154154153153154153154152154154155153152153153154154152153153155157157158160159159160159161161160160161160160160161159158158158159157159158156157157157158159159157154153150151150149147145143141142143144145145145144145146147146147145145146145145147147149150150149150150152152153154155156158160162165166164165166167170170170170166162158156154154153152152153154155155155155156157158158157159160163163163161157153151151151150149149148150151152152153153153154155155155155155157158159160161162164164168168167169170168168168167168167167166166167168166168169171173172171171170168167166164162162163163166169174172174174173174173172172175 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999181181181180182183183182182182183183183185186186186186186185185184182177174169164164167168168170171172173173175175176176176177177178178179178177178176177177179180181181182183184185186187188188187187186185184184183184185187187185186185186186187190195198200201201201202202202203204204999999999999999183182182181179177175174173174175175176176176175174175174172172171171999999999999999999999154154153152151151154156158159159160161163164165166167167164164163163163163163163163164163163164163164164164162159159158157156156156156158158159158154150146144144146147150153153150147147147144142140137135133129130131133135136137138139139140138138138137141146154159162165167167168169169168169169169169170170170171171172172172173176177180179180181181178178177173170170169164160159157159162162163162161162161163163163164165166165164162161156159162161159159158160159157155155156156155154154156157154157157157156154155156157158157156157157156157158158159159161161161161161161160160160160160161161159160159160160160159158160160159159160160161160157155154151151150149147145143143144148145146146145146146145146145145146147145146148150151149149150150151153153154158159160161165167169170171169170171170169169166164158155154154153153153154155155157156155157157158159160161163165167167166164161157154153153152152151152153153153154154155156157155157156158157158159159162164165168168166169168170171170169168168168168169169171169168171173173173172170169170170167167164163165166167170173173174173172175173172174174172 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999184185185185185185183184183182183183184184184185186186186187186186185184182179175172168167168169170171172174174175175176177178177178177178179180180180179178178179180181182183183183184185187188187186187187186185184183183183185187187185185186187188191196199201203204205206206205999202202202203999999999999999999181183179178176175174175175177177177177176174176176172172172170163166999999999999999152154153152151151153155157158159159160162165166167166165164163162162163163163164163163164163163163163164164164162161160158158157158159160160158152147148147146146145145148154151152150149146145141140138137136131133134136136135136136139139137137138139140144149155158162165166166168169169169169169169169169169170171170171171170170172173174176181183185186182181178175173171168163161159158160162161162162160161164165165165167166165161162163162160161159162160158160160159157158156160157156158162161158160160159158155156157158159159159159160159158160159158159159160160160161162162160160159160160161162160160160160160160160161161160160160161161161160158156153152152152151148147147146145146144144147147145145145145145146147147147147150150149151151151154153155157159162164167169170171172172173172173171171168168166160158156155155154155155156156157156156157159158160161166170171171170169168166164162157158157157157156155155155154154156157156155156156157158158160160163164165167167169169171171169170172169169167167170171172172172174175173171171171169169169169167166166167170173174176173174172174173174174173174174 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999185186186187187186186184184184184183184183184184185185185186187187186186184183180180179174170171170171173174174175176177177178178177176176178180182183182181180181182183183184185185186187187188188188187188188187185184183183183185186186185186187187191197201202203205207207209209207205203203204203203203999999999999999999999182177176175176176177177177178177177176176173174174174170166163161160999999152154153152152152153157157157158161164165166166166164164163163163163163163163163163163163163162163163163164163162161160159158158159160161157151149147148149149148148147153154152151151150148144144143141138136136135135135137136135136136137136137137139143148152157159162165167168169170170170170169169169169169170170171170169169169170171172173176180184181181184183181179176173172169164161161163163163164164163164167167168167166165164163164161162161162162162162164166160161159158159158158160162162161162160160158157158159159159160161160160160160160160160160160160160161160161161161161160161162162161162162162162162161161162163162162162161160161161161159158155156155153152150150149144146147145147147145147146145147147149149149150150151152153154155156157158160162166170175176176176178177177176174172172171169168165161156156155155155156157157156156157158158159161165168171171175175174170170170167166165162160161159158158158158157158158157156157157158159159160161163164166168169169171172171172172173170169169168171172174173174175175174174172171170170169168167168171172173173173174174173172176174174174174173175 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999186187188189188188188187185185185184184183183184184184185186186186187187186185185183180178176172172173174174174174176177177177177176176177177179180182183183183182182183184184185187187188188188188188188188188189188186185184183184185186187186186187192198201202204206208209210211211210208206205205205204205999999999999999999999999178177175177177178179180179178178178177176176176175173171166164160159155152154154152152152154156156157163165165164164164164163163163163163163163163162162163164163162162162162161162161161160159158158158158159158153149150149150151149149151152154152152151151149147143141144144139138134134133135136136134134136135136138139143147153157157159161164166168167167170172169169170168169170170170170169169169168168168169171173175180181183184184183184184181180179172165163164164163164165165166166168169166166164165164164162161161162162163164166166162164163162163160160160162163160162161160159160160160160160160161163160161160160160161161161160160161161162161161161163163164164163164164164165164164164164164163163164165164164163163163161161160161157155153153152150148146147148148148148149151150151151152153153152152155158158158159159161165170174176176176177179179178178179176173173171170169167164158157154156155155156156157157158158159163167170171173174176175176175175175174172169167166165165163162162160160160160159159158158159160159161161164165168169170173174172174175174175173173171171172172172174173176178175175174172171171169169171173175177176176174174174174174174175173174175173171 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999188188189189189188188188186186186185185184184183184184184185185186186187187187186186183181177176171173173174173174174176177178180180179180181181180182182183184184184184184185186186187188188188189188189188189189190189188187185184184185186186187188192198202203205208209211211212213214213211209206205205204206999999999999999999999999999999999177179182184183183183184185184182182181178177173171166163156153153154154153153154153156156161165165165164164164163163162163162162163162162162162162162163162161161161161161161159158156156158159158158155151150150150152152151151152152151151150151152150148147146147144141138138136134134134135135135136136140142144149152156158159158160163164165165168170170171169170170170170169170170169169169169169169169169169171177178182182182183183184182182177175173169167164164164165166167167170169166165165164164164162162161162166164165166167166169169169168166164164164160160164163160161161160161161165162162161162162162162161162162163162162162163163164165166166166166167167167168168167167166166164165166166167167167167167167167165165163163161160157156157155154152153153153154154154154154155155154156156157158158160163163164165165168173176177176178179180179179179177175173173172170168167164163158157156155156157155156158159159162169172171173174177177177178179178177176174174173172172170169167166165163161160161161160160160161162162162164166167168171174174178176177177176176175175175175174174174174176177177177177175174175173172172174176179175176177175172174174175175175172172173171 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999189188189189188188189188188187186186185185184184184184184184184185185187187188188187186185182179177173172172173174176177179182183184185185186187188188188186185186186185186186186187187187187188189188189189189189190190191191190188187186187188188189194199201204205208209211213213214214215214214212209207205205205999999999999999198200999999999189188190190191190190189189190191191188189187182179174170167161157155155154154153154154156159165165165163163164163163163162162161162162161161161161161162162162161161161161161161159158156157158158157155153152150150151151150151150151150150151151152151151149149148148146144142141139137136139139140141141143145148150153155156159161161163163164166165169171173174173172171171172172172172171169169169169168168168169171174174177182179179182184181181181179177174170166165165166167167168169168166164163165164162163162160161166165166168168169168170170171168167167167165165164164163163162162161162165163163163163164163166165167167167164166167168169170170171171171170169170170169168168168168168167168168170171172172172172172172169168167168167165161160160162160158158157157157157157158158158158159160161160160164166169169170170170171174177178178177179181180179179178176174175174170168167165164160158157157157157156157158160162167168171174177177179182182182181180180180177177176175174173172171170168167165164163162160160160160161162163165166168172172175177178178177178179177176176176176175175175175176176177177178177176175174175176177177177175176177177176175176176174173171170172171 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999188189189189189189189189188188187186186185185185185184184185185185186187187188188188187186185182179180174172172173175178181184187189190190190190191191191191190189189189187186186186186186186186187187188188189189190190191191192193192191189189189189192198202203205207208210212214214215215215214214213212209207207999999999999195196200202205204203201200199200200198196194193193195189192191190187182179175169162159155154153153154155155158163166165163163164163162162163162161161160160160160160161161162162161161161161161159159157156155155156157155153152150148149149148147147147148149150152151152152151150149148148148148147147145144145145145148147149151152154155156157159166167168170169171170171171172175177176175175173175175175174170169169169169169168169170172172172177183186187182181181183184182181177172167165166167169168168170169168167166164165162162164163164166165165168168171172172171173172169169169166166162165165164163161163163165164164164166166166168170171171170168171172172172172172173172172171170170171169169170170170170170171174174174177177177178178176175175175173172171170170169168167166165164163162162161164164166168170169168169173172175176175176175174173177180180180177179180181180179178177176176175172169168167165162159158158158158159158159163166169170171176178177181183182180181181182181181180178176176175175173171170168167167165164161161161160160161163165167169170173178180180179179179180179178178177176176175176176177176177177177179178177177177177178178178177175177176176174176175174170170170171169 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999188188189189189189189189188188187187187186186186186185185186187187188188188188189187187186185183180180175174173174176181185188190192193192192191191192192192191191191191189188187186186186185186186187187188189190190190192193195195194194193191191193195201204204206208209211213214215214215215214214214213212210208999999999999198201205206207203201199199198199198198197195195195196196193191191190186183179174166160158154153153155156157161167169167165165163163162162163163161161160161161161161161162162162162161160160160159158157156155154155155154152150147147149149147147147148149150151152151152151151150150149150151150150150148148148150151152153153154156156156157162167169170173171175176174175175176179180179180179179179179179177175173172170169170169168170170171173176181185188185186183183184183182178173167166168169169169169169170170170169168166169165166163165166166167169171173172174174175174172169169169168166168168167168166164163163164167166166166167170174173173172172172175174173173173172172171171171171171171172172171171172172174176177178179179181181181181181180181181181179178178178176175174174175176175174173173172175178179178178178178180179178179179180179181183182181181179182181181179177178178177177176174172170168165162161159158158158159159161166167170172174176177179181184186184184184184183183181179178177177175174172171170168168167166165165164163163164165166168171173175178180179180179180181180179179179179177175176176177177177175176178178177179177178179180177176177176175175175175173172170170171171171 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999187187189189189189189188189189188188188187187186186186185187188188188188189188188187186185184182180181178175175178180184187191192192193193193193193193193192191191191192190189187187187186185185185186185187188190190192192194195195194194194193195198200202203204207209210212213213214215216215214213214214213211211209999999206206211210207206999999999197197197197196196193193193194194194192191191189185183178172165160156155154156157159166170170168168166163162161161162162162161161160161161161161161161160161160160159159159158155155154154155154153150148147146147148148148149150150151151150150150151152151152152153153153152152152152152154153154154154155156157157160166170171172175176178180176178180181181180181182183184185185184182180177176174173172171170171171172172175177184188189188184182183183183178175168168169171171170170170170171170172172172171170170169169170170170172173174177178178177176175172167171170173174173172171170166165165165165163164164164168170172170171172172175175175173173172172172172173174173172173172173173175177177178179180181182184184185185185185185186186186186186185183184182182182183183182183183182182183181183183182182182182181182183181181183182181184181182182182182179178177179180179178176173170168165163161160159159160160162166167169172173176178179181185186187187187187187186183182180180179177176175173172173171170168168168168166166165166167169170172174177178178180181180179181180181179180180177178178178177177176175177178178178179178178180180179177178177175175174173173172171173173172170 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999187189189189189190190191190189189189188188188187188187188188188189189189189188187187185184182180179179180181183183186188191193194194194194195195195193192191191192192191190188188188187186185185185185187189191191192193194197197195194194194197200201202202204207209211212213214215216217216215214214214213213213210210210212211209207207999999999999999999195194193193192193190194194193193192190190187185181178170165161157156158161166171172172171170168164162161161161161161161161161161161161161161160160160160160158158157156155155155154155154152148147148148149149150150151152152152153153153155156157156157157157156157155155154152154154155155155155156158158159162169174174175177179179180180182183183180181181182183184186187186186184182181179178176176173173172172172173176182189192192186184184184182180174169171170170168169169170170170171172172172174174175175174175175175174175177180179178176173174173173173176175175176176174173169167166167166163163162162164169169170172173173175176176174173174175173174175174174174175175175177178179179179180183183185187186187188187188188188189189187188188186185186186185185185185184182183185183183183184183184184184186185184183184184184184185184183186186185182179179179178179178176173171169165164162161160160162166167167169171175177177181183184186188189189189190190189186185186184182181179178176174173173173173173172172169169170168169171170173175177179179180180179181181181181182182180179180179179177177177176178179179178179179181180181180179177176176176176175173173173173174172172 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999188188190191190190192192192190190190190190189190191190189189190190189190190188187188187186185185183182183184185186185188190191193195195196196196196196195195194193192192192191190189189189188188187188189190191192193193193195197198196195195196199201202201202205208209211213213214216217218218216215214213213215213213213214212208207207207999999999999999999194192192192190191192192191194194193190189189187183181177168164161160162167170171173173173172172168163162161161161161161161161161161161161161160160159159159158158157157156157156155153150148147148149150150151153153153153155155156155157158158159159160160160159161160159159158158158159158158158158158159160163170176177178179179179179180181179180179176179179180181183183184185186187185182180178178175176175174174175179180183186190189187184184181178174169169166166166167168170171170171173175175178179179180180180180180179179179179179179177175173172171169177176176178177177176174171173170168167165164165165166168169173174175176177177176176176176175176176175175176178177179178180181181182182184185187187188189189189189188188188189188188188188186186186188186186187187185186185186186186184185185187187187185188186186186185187187185184185184184182180180180180179178176173171167166164162162161160164168168170172173176177179183184185186189188190189189189188187187187187185184181182178176175175176176176176173173172170172171171169173175176178179179179182181180180181182183181181181181181181178179180180179178180180180182181180181181179177176177178175175174173174174175174 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999188189190190190191192192192190191191191191191191191191192190190190190191189189189188189188188188188187189189188190190188190191193194196196197197197198197197197195194193193193192191191191190190190192194195196195195195195196198198198198198200201202202202202205208210212214214215216216217217216216215215214214214215214217999999999999204202201202202201999193191191191189191191192192192193193191191189187180178178173167165164166169172173175175176174174174168163162161161161161161162161160162161161161160160160160159158158157156156155153149149150151151152153153154155155156156156156158158160162162162164166166166166166168166166164163163164163162161161161160161164172177177177177176175176175174174173173174176176176177178180182182185186182186185185183179178180178178177180182182186192191188187184182178175169169167166166166169169170170173177178180181182183182183183182183182180181180180180181177175174177177178179178180179179177177175175174173173172170169169168168170173174177177179179179178178177177177177177177179179180181180181181182183184185187188188189189188188188188189190188188189189188189189190189190189189188189186186187187187185186185188188187187186187187188188186186185184185185184184182181181182178178176174172168165164163162161161164169169172173174176179181185185185187189190190189189189188188189189188186185186183183182179177177176176177175176174172173172171172174176178179179180181183181182182184183182182182183182180180179180180181182180182182181182181181180180178177176179179177176176176175176177176 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999186187189190191192192192191191192191191192191192190190192192190189190190188188188188188188189189190190191192191191190190190190192193195197196197197197197197198197196195195194193192191191191192193193196196196196196195195196199199200200200200201202203203204205208210212213213214216217217218218216216215215215213214215217999999999999201201201202201196999192192192192190190194193193193193193193193191186180176174175170168168167171174176177177177176175174172166162162161160160160161161161160160159159158158156157156155156155153153152150150151154154154155156156157158159159161161162162162163165169170172171174175177176176175173173171166166166165164164163162162164172177176176175175171173172174173172174176179178177179179181180182187187185185188189188186185185182182183181184187191193193192190185182178175173170168167165166168168170171176178180180182183183184184184184184183183182182181182182177178176179178180180178179178178177177176176177176176174175172170169170173175176177179181181180179178178176177178178180182182182182182182182183185186186188188188189188188188189189189190189189189191191192192191189188189187187186185185185184185186186187187188187186185185186188189187187186185186185185184184183182180179178176174172168167164162162161161165169170172174175177179182186187187187189191190190189189189189188189187186186185186183183183180178175175174176173172172173172172174174176179179180180181181183182182182183184184182183183182180180182181182181181182183183181179179179178176176176178180177177178177179181180181 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999185187189189190192191192191192192191192192191192190190189190189189191190189189189191191191191192192193193193194193193193192192193194196198198198198198198199197198198197196195194192191191192193193196198198197197197196195197197199199199200199200201202203202204206208210212212213215216218218218218217216215214214214215217999999999999201201999200199999999191191191192192193192193193194193193192191189186186182176177174173171169174175177177177178176175175174171165160160159159160161160161161162162162163161161160160159157156157157158160163167169171171172174177177176175176178178178177175175174177177177179181183182181182181179176177174171169170168167165164163166171176176175174176174174173175176178180180183183181182182182184185188187188188190191192190191190190188190192192195198194185187186187183178176173173169168165165167166169172179181181182182184184184185185185185185184184184183183183179181180180179181181178178178178177176176176177177176175176174172171171173175176178181182181180180179178176177179180182182182183183183184184186187188188188189189188188189191191189189189190192192193191191190188189187187187186185184184185184184184185185187187188186187185187187187188187186186186185184184183182182180179177177174172169166164163162161164168169169172173175177180184186188189189190191192191190190189189190189188188187187186184183184184182180176176176174172172173173174174175178180180181181181181183183182182183183182183183182181181182182183182181182183184182180179179178177176176177178179180180181181183184182184 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999202201200198207999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999186186190190190192192192192191192193191193192190188189188189190191191191190190190190190191193193194194195194194195195195195195196198198199199199199199199199199200199198198197195194192192193193196200201201201200198196196196196198199199199198198200201202202204206207208210212213214215217217219219219219217216215216217215999999999999999999999999999999999192192193194193193192192193193192192191190187183182183176175176175170170174175176177178177177176175174173172166162160159159160162162161161164163165167167167168167168168169172172175177177179181183184183183184186185187187187188187186186183185187186186187187186186186186185185183180178174172171168166165163167174178176175173174175175177177179181183183184185181181182185185186188192190191192192194195193196197196195198198200199197193191189187184180178176174170166166165167168173176182183183183184184185186186186186186186184184184184185185182186180181179178180179181179178177178177178178178178176175175173171172173176177181183183182181180179178177179180181182182184184185185184186187187188188191190187187188190191192191191191191193193194191189188187187187186186187186185185186186186185185185187187185187186187187188189189186187186186185184184182181182179178177176173170168165164163164167169170169170171173175177180183188189191192192193194193190191190191192190189188190187186186184185183184182179179177177173172172174176175177180182181180183181181182182182182182182181181181181181182182182182182182183183184183181180179178176176177178179183183182184184186186184185 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999210206206205203200198195194199999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999191190189188190190190190191192194195194196195195194191188188189188189190192191191191191192191191192193194195195195194195196196196197197198200200200200200200199199200200200200199199198196195193193195197200201204204203202200198197196197197197198198197198199200201202204206207207208210212213214216216217218220221221220217999999999999999999999999999999999999999999192192192193193192192193193193192192191189187182181180178174174173169170174176176176176176175174174173172173173167162160160160161162161161164166166168169169171172173175176177178179180180181182182184184184186188188189189191190190190190190190190190190190189188189189190189190188187186180176174170168166164167174177176177177177177177178179180183183184182183182185188191189191193194193194195193195196195200203200199200201202201200196192192191187179177175172170168167168168171178181182183185185185185185186186187188187186186186186185186184183183182181180178179182181181179177177177177177177177176175175174173172174177179181183184182182180179178178178179181183183184184185185186187188188188189189189188187189191191192193193194194192192192189189187188187186187187187186184185186187186185186187187187186185186188188189190189187188187186186184183180180180179177176174171170168165165165167169169169170171174175175176178181185189191192194191193192192192190191191190190191188188187186186183183183182180179179179177174172175176178180179182182183182181182182182182182181182181181182182182182182182181181182183182182184180180180178179177179180179183184185187186187186187186 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999211208208207206206205202200201201202999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999191189190191190189191193193194195196197197198198198196195192191191190191191191192192191191192192193193192193193195196196196196197197197198200200201201201202201200200201201201201200200199197196195194196198200202203206206205203201200199199198198197197198198199199199200202205206207207207208209211213214215217218220221221220999999999999999999999999999999999999999999999190190191191191192193193193193193192191189188182180180176176175172170171172174175175175175175176176175175174174173168163160160160160161161166168168169171173175176177177177175174175177177179180180181183186187189189190191192192192193193193194194193193191191191191191192192192190189189185181177172169167166167171174177179182181180181181181182184183182182185188194196198196198199196197198198198198198198200206202198200203205202202198196192190188183179176171169168169169170175180182184185187186186186187187188190189188188187187186186185183185184181180179179183183183183181180178178178177177177176175175175174175178179180182183185185182180180179179179178181184184185185186187187187188188189189190189189189190190191193194195193191191190190188187187187188188187188187186185186187187188186186189188187186186188190189188188186186188186185186183183182179179178176174172169169168165166167167170170170171171173174175175177180183187191192195196194192193191192191191189190191189189188187186185182181181180181181181176174172176178179180180180182182183182182183183183182184183184184184183183182182182182181181182181182184180182182181181181181182184185186186187187187187188188 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999217213215214212210209208206207206204205204202999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999187188189189188189192197198200201202202202202202201198196193192191191192192193193193192191192192192193193195196196196196197196199198201201202202203204204204202201202201201202200200200199197195195197199200203204206208208208207206205204204204202201200199199200200199201204206206206207207206208209212214216217218219221221220219999999999999999999999999999999999999999999999999190191190191192191193194193192191188186181178177174173173173171171173173175176179179180182183182181178176175173169163161161161162163170170170172174176177176176176174174174174175176179180180182184187190190191192193195195195196196196197199198198198196196195195196195195193192191188185180176173170168169173176179181184185183184184184181179180183186189195196197200202203199202201202201201204202203204204202199199205203203201196192187186186183179175171168170169167170176181183185186186187186187188188189190191190190192190189189188184181180181181180181186186185185184185184184183181181180179177176175176178180181181182183185186187184182181181180181182182183185186187187187188187188189190191190190191190192192194195195192193192189189188187188187189188188188188186186186187186186186187188188188188186188189188187186187187187186186184182181181178178177174172171171169166167167170170170171171170172173174175176178182186188192195196195193193193193192191192190191190190190189187185184182181179180182181180177175174177179179180181182182183183182185184183185185184186185186185185187184183184183183181181181182182183183183181182181182182184186187188188187188187188188 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999214215217218217215213213212210209209207208205205213999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999183183186189189189189191195199202204205206205205205204203200198195193193192193193193194194193192193193194193194195196197199200200199200202203204205205207208208207205203203202202201201201200199197197197199202204206208209210211212211210210210210209208206204202201201200201203204205205206205205207207208211213215217219220221222221220999999999999999999999999999999999999999999999999999190190190188189191192190189190188185183179179176174174173172172174176179183186189190190191189189186182176173174170165164163162166174175175176177176176175174175175175175175176177178180182182184187188189191193195196196196198200200201201202203202201201200199197198200197195194192188184180177174174173175176177181183184183185180178180181186192194195197198201203201208208204203206204204203203203206204205203200205206204198191191192189186178175174170170170169168169177182183184186186188189190191190190193195195195194194193190190186181182183181181185190190189188187188189189188188187188187185183181180180181184185185185186186188188187185183184184184183184186188187187187188189189190190192191191191192193194194195193193192190189189188188189188189188188188188186186186186186186186187187186187188188188188188187186186187186186185184178179179177177175175172172169166166168168170170170171171172172173176178181184185190190193193194196196195196196194192192192193193191191188186187184182180178177179181180180178176178178181182183183183184183184185186185186187186186185186186185185185186185185185183182180182182182182182182183183182184187186187188188187189190189189 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999217219219219218217216216214213212210210208207209999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999183183186185187187191193195197201201204206209208207207207207205202198196195195195195196196196195193193193193194194194195197200203204204205206207207208208209210210210209207205204203202201201201201199198199200203205207209211213214215215215215215215215215213212209206203202202202204204204204204204204205207209211213216219219220221222221219999999999999999999999999999999999999999999999999999999189189188187189186186187186188185183180177176178178177174174176182188191193192194194193194193190187181176175172170168164164170176176177178178177178177175175175175175175176178180182183183183186187188192194196197197199200202201201202203203202203202202200200200201199198196194192187182180177178179180177174177179180180180177178182189194197200200198202201207210211207206206207206202204204209206207206207206205206203198196194189188182176174173170170170170169170179184184185186187188191192191192192193196198198197196192190193190182184181181183189192194189190190192193192191193191191192190188186184183184187189189189189190191192191190188187186186185185187187188187188187188189190190191191191192194194195194194192191190189189189188187189189190190189187188188187186186185185185185185186187187187187188187187187185186186187184181180179177175174174173172170167166168169169171170170170170171174178182183187188189194194195193194194196197196193194193191191193193192191189187187183182177178179179181181180177178179179181182184184182183185184186186188188188187187187187187186186185187186186186186184183182182181182183183182183185185188187188189187188189189189189 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999216218219220219219219219218217216215214212211209999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999190193194193191191193193197202202205207208208209209208208209209207204201199196196197197199199199198195195193194194195196196197201203206206209209210211212212212212213212212210208206204202202202201201200200203204207208209211213214216216217218218218218218217216215213209207205202203203204203203203203204206208210213214217220220220221222222221999999999999999999999999999999999999999999999999999999187189187185185184181183182184184183180179179179178178177178182190193194194196197198197196195193189185180176175174171168166169176177177178179178179177176175176176177176178181183185185184184186188187191194197198201201201201202201202201202202203202202202201201201201199197195194191185182182181182183180178177178176177176178181188195196200201204204208209208204205205204204205205204203205207207205209208208206206202198195194189185182177174172171172170170170173184185185187186188188190190192193194192197197197197196193192195194187189188187189194193195190192193195198198197199195194193194192190189188188190193194191192195195195194193191188187188186187187187187187187187188189190191190190192193193193194194195192190189189189188187188188188190189190189188188187186186184184183182184183183184185188188186186184185186187186184180179178175175175174172171169166167169171170171170170170172175181185186188189191191191194193193195195195197195194194193191191191193193193191188187185181178178178181181182180178178179179182184184185184183186186186187187188187188187188187188186187187188189188188188187188184184184183184184184186185186189188189189188189189189190191 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999217215217219219219219219219219218217217216213210209999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999201201201200201201200198199201200202205206209211210211210210210210209206203200198197198198200199199200200199196194195196196197199199202204208209210211212213214214214214214213211209207205203203203202202203205207208209211212214215216217217218218220220221221221220219216214212208205203204203203203203204205209211213214217218220221221221221222220999999999999999999999999999999999999999999999999999999999188186183179178180181182183183182181181180178178178177179184191196196195198198198198197197194192189184182177175173171168168176177177179180180180179177177178178179178179183185187188187185186191192194198200201202202201201201202201202201202202202201202201201202201201201199197195191187183183185184182181177178176176178181187195198200202207209210206205202204202202202201202202203204205208208209209208209208207204203197194191187180176172172172172172172172177184186186187187188188189190190192195196196195195192194193193193189188189190193193193194197196196198199201200201198195197197198196196195193194193194195194194195197197196195193189189188187188188187187187187186188189190191190190192192193194195194195193190189189189189188188189190191190189191191189188188187187185184183183183183183184185187186185186185185186185182180178177174174173172170167166168166169169171170169170172176182186186188191192193192192195194196196197196197199194193194195193194195194194191190190187180179179177180180179181178179180180182183184184184185186186186187187187187186187187187187188190189189190189190190190190187187187186185184186186186186189188188188188188188189190191 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999220221221220219220219219220218218217217218218218217214209208999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999204202204202200198198198198200201202203204207208209211213214214214213212211210208206203201200200201202202201201201201200198197197196197198200203207209210211213214214214214214214214214212210208207205205204204204207209209211212213214215216217218219220221222221221222222221221219217214211208205204205204204205206208211213215217219220221221221221222221221999999999999999999999999999999999999999999999999999999999189185184179177178179179181181181181179178176175175175178184192197199197198198199199198197196194191189186180177175174171170175178179179180180179178177178179180179180180184185187189189188188192195197200202201201201202200200201200200200200199200200200201200201201202202201200197196192189186187186183184178178178177181187194198201203205210210211208204204203202202200200199201201203206203206209209209210209206200198196192189184179175174173174174173173174176182186187189189190190190190190192193193192195194195188195193194191192191193195194194196199199200202203203200201199200201200199197198197198197196195196195195197198198196195193191190187187188188187187186187187188189189189190192191194193194195196195193191189189190190189188192191190190191190190191191190188187186184184183181182183184185185185185184185185185184182180178175173172170169166166165166167168168170171172177181184187188189193193194195193196195196194196196198198197195193194195195195195194194191191191186182180178180179180180181179180181180183182184184184185187186186186186188187187187187187188188188188188190190191191191190190188189190189187186186187186187186186187188187188189190192 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999221220221221221221221220219219219217217217217217218218215211211999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999196199200201203203203202200198198198199201202204206208210211213214216215215215215214213212211210208205205205206204206205204204204204203200198197198200202205208211212213214215215214214214215215214213210208207207207206207208209210212213213214215216216218220221222222222221221221221220221220220217214210206205204204204205208210213214217220221221222222222223223999999999999999999999999999999999999999999999999999999999999999999188184179176175174175176176175174173172173172174176179186193198201199197198198197196196194194192190188186184179176175174173177179181180180179178178179180180180180181185188189190191189190195197199201202202202202201202200199197197196196197197198198199199199199202203202202200199198195195193191189187181181183188194195199200203203212210209208205204205204203201200202201201201202205202203208211211211206202198194194190188183178175174174175176176175175178182184185189190190191190190191192192193193195197196194194197194194195196197198198198201199201202203203203201201201202203201201201200200200201197198199197198197197196195194192193193190188187188188187187188188189190189191191192192193194194195195193194192190191189190189190191190192193193192190191191191188187187185184184184185184184183184185185185186185185182180178176174173172169168166166166166167169170173173180184187187190193196194194196197198196195195196196196197198198195194194194196196196195194193193192189185181180180181181181181180181181182182183185184185186186187187188187188187187187187188188189188188190190191191193191191190190190189190187189188187187186186187187187188188189190191 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999221221221220221219220221221220219218218217217217218218219218217999999999999999999999999999999999999999999999999999999999999999999999999999999206207999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999196198198200200202204203203204204203203204205207209211214213215216217217215215214214214214214213213212212209208208209208208208208207207206205202200199198202208209211211212214215214214213214215215215214213210209208208208209209210211212213214214215216215216218221222223223223222221221221221220220219219217213210206204205205207210213215217220222222222223224224225224224222999999999999999999999999999999999999999999999999999999999999189185179175174172172174172171171172172173174176177184187194199200200201202202203203202201199195192190188185184182181177175176178179181180180180180181182182181181181185188188193191191195196198200201203201202202201199198198196196195193194194197198197197198199200200201202201201200197198199197198190192189190193197199202201208212209207207201201204204204203202201202200200201200200202205207209211205204202196191188187185181177176175177177177176175175178182179182187190191191190191191192193192193189193196194193193199198199201200201200199201205202204204206204203204204202202202202201200201201201200203200200199197197195195194194195192189190188189188187188188188188189189190191192193195194195196194194196193191192190191191190190191191192194190190191191190190189188185187184184183184183184185185184185186184183180178176174174172171170168167165166166168170172175180186188191192192192196195195197196198196197197196197197198199198196194193194196196195195195194194193190186183181180181181181181181182182183183183183183184185186187187188186187188188188187187188189189189189189190191192193192191192192191192191190189189187187186187187187187188188190191 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999220220220220220219219219220220220219217217217218218219219219219999999999999999999999999999999999999999999999999999999214211213208206206203201204203203207209999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999195197200202202201201203203204205206206205207209212214215217219218218218216215214214213213213213213213212212210210209211210211209209208208207206204202200201204208212212213214215215214214213214215215215215213210209209210210209210210211212212213214215215215217218221223224224223224223223223222222220219219219216213209206207209210213215216219222222222223224224225225225225225223999999999999999999999999999999999999999999999999999999999188184180175171172172171173173172174177179180184186191194197198202202203204205205206205205203202201199196192188187185181178177178178179180179180180181182183182181183188193196196194195196196198201202202201202202201199197197196195193194193193194195195197197199200202203202202202202200201201201201197198195194197200205201206209208207205206206204205204204204203201200201201198199202201204207209205204202199195188183183179178178177177177177175175174176178181179179184190191192191191192193192193190191193196195190200198202201201202201201199202203203205205206204205205204202202203203201201200200200200201199198198196198196196194194194191192190190189189187187187188188189190190191192193193194194195195195195194194192191191191191191191191192192191192191192191191191189189188185185184184185184186185185185184183182178176175174173171172170169168166167167169171174177183187190193193196193195196196198197198199198198198198196197198197196195193196197197197197196195195194190188184182180182182182182182182183182183183183183184185185186187187187188188188188189188188188188188189188190191193192192192193193193192192191192190189187187186187187188188188189191 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999219219220220220220220219220220219219218218217217217218218218219218218999999999999999999999999999999999999999999999211209209211210207208210209208208205206206209999214219999999999999999999999999999999999999999999999999999999999999999999999999999999196198201202203202201201204204205207208209210213215217219219219219218217216215214214212212212212212213213212212211211211209209208209210211211210208206203201204208211213212214215216216215214214214214214215215213210209210210210210210210210212212212213214215215218219220222223223224225225224224224223222221220219217215212210209210213215216217219221222222222223224223223224225226224999999999999999999999999999999999999999999999999999999999185183180175171170171170174175177181182185191193195196196197199201202204206206206207206206206205204202202201198195192188183182180179179179180181181182182183183183185190196198198197196196198201202203202202201201200198197197194194194193192192192193195195197197199200202203202202202202202202203201198196198200204207209209208208206206206205206205202203206203202203201199198199200201203206209211209204199198192186179179177177178178178177176175174175176178181181180182188190192191190190187188189190191189196199199199199202201201203202201201202204203207207207205206205204204202203203203202201201201200199198199198197196195194193192192191191191190190189188188188188189191191191191192193194195196196196196196194194191191191191190191192193193193193193191191190191194191192191188186186186186184185185185184183181180177176175174174172172172169169168168170171172178183187188190193193195197197196197197198199200199198198198198197199199195195195196197197197196197196196195191190187187183184183184182183183183183184184183184184184185187187187188189189189189189189189190189190189190190190192191192193194194194193192191192192191189187187187187187188187189191 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999219220220220220221221221221220219219218218219218218220220219999999999999999999999999999999999999999999999206207210210212213213211208209209209209209208208209210211212215210211999216999999999999999999999999999999999999999999999999999999999999999999999201203204204203202201204206206207208210212213215219221220219218217216216215213212211211212212212213213213212211211210209208209209209210210210209208205201205209212214215215216217217216215215215214214215215214212211211211211211211211210211211212212214215215218219219221222223224225226225224225225223221221220219217216213213213214215217219220222221221221222222222223225227227224999999999999999999999999999999999999999999999999999999999999184181176174172173173178181180184186193193195197197197198200202202205207207207207206206205204204203203203202202201198195191187185183183182183182182182183185188190194198197197199197194197202203204202202202202201199198196196195194193193192193194194195196197199199201199198203203204204205202201200200203206208207206209208207206206207206205205203203205203203201201199200200203202202203207211208204204199193188182180180180180181182181177175175176178180182182181181186189191191189190191193193192194193195196197201201204203204205204202202201204202204206207206206206205205204204203203203202202200200200200199199199198195194192190191191191190189190189188188187188189191192192191192192195194194196195195195194194192191191192192192192193194193193194193193194194198197194194191189187185185184186185185184183183181180178177176177176175172171171171171171173175181190188190193193194196198198197197199199199200199199198197198197198197195195196197197197197196197196197197195192189187186185184185183183184184185185185184184184185186187187189188189190190190190190189189190191191190190191191192193195195195195193193192192192191191189188188187187188189189191 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999220221221220221222222223222222222221221220221220219220220218999216999999999999999999999999999999999204205208207207210212212210209210209208208209209209210211210212214212211210211212999999999999999999999999999999999999999999999999999999999999999999203203204204204203203202205206206207209210212214217220221220219219217216215215213212211212212212213213213213212211211210209209208208208210211210208207206203205210213215216217218218219219218216215215215216215215215214214213214214214213212211211212212214215216217219220222220221224225227225225224225225224223222222221219217216216216216219220221222221221222222223223224226228227223999999999999999999999999999999999999999999999999999999999183181179181181184182184187186190189195194194194195195198198199202204203206207207207206205204202203204205206204204204205203200194191188190188186187186187190191193198200202201199198197197198203204205203203202202201199198197197197195195194194195196197197198198199200202203203204204204204203203202200202207211207207210208206205207207207208204204205205206203202201202201200207208203204209209209204206205197198193188187186180181183184185181179177177178180181181181181185190189191189188188187191192191194195195196198198201204207208204201199201201201203204208207207205205205204204205203204203202201201200202202200199199196194192192192191190190190189188190189188189190191191191189191191194194196196196196196195194193192192193192193193195195194195196195197196196198196197197194192191188186186187186186185185184182182181180180179178178176174173173173174174178182187189191193193197196198199199198199199201199199199198196196197199197196196197197198199197196196195197197198195192187184186185185185184184184186185186185185185185185188188189188190191191191191190190190190191192192192193193192193195197198197196194194194193193192191190190189189189189191193 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999221220221221221222223223223223223223223223222222220219219218218218217219216216999999999999999208207206205205207208208209210211210209208207207208209209210211212212213214213214213211215214999999999999999999999999999999999999999999999999999999999999207206204205205205204203202205206206208209211213216218222223221219218217216216215213212212212212212213213213213213213212212211210208209209210210211210208205204206212214216217217218218218219219217217217216216216216217216216216216216216215215213211212211213216217217220220220220221223225226226226225224224225225224223222222220220219218218219222223223222221222222223223225227228226999999999999999999999999999999999999999999999999999999999184185180181185188189189189192190191197194193193193193197197198199200202205203206206207206205207209209209209209208208207206206205203200195194194192194195194196198201202203205203201199198196200203205206204203202202201200200199197198197197196196197199199199199199201203205202204204203205203201202202201207212213210211210205205206206207206205201203204207205202203203201199198203204204207208209208206206204201202201197195193187185186185183182182181180180180181181182183185187186186188188191193192191193193194195193193193198200205206200204200201201200201203206207206206206206205205205205204203201201201203201200202202200198196192193191191191191189189189189189189189190192191192190192191191194196197195195194196194193192192194194197197197197196197197199197198199199198199196195194193191189189189188188188189187185184182183182182181180181178178177178177179180183186190191193194195196198200200199198199198198198199198197198198198197196196197197198200197197197198198199197196192189186187186186186186185185186186186185185185186186187188189190191191192192192191191191190191192193193194195196195196198198198198197196196196196195193191192190190191190193194 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999220221221221222223224224224222224225224223223221220217215215217217218216212217999999999999999209208206207207205207209207207207208207207205205204206208209210212212213215215215215216216215216999999999999999999999999999999999999999999999999999999999999207206204206206206206204202204206208208210212215216218223224223221220220218216216214213214214213213214214214214214214213213212211210210210211211210209208205205209213215216217218218219219220220220220219218218217217218218217217217217217217217215213212211212215217218217218219219221223226226226226225226224224224225225224223222221221220219221222222222223221221223224224226227227999999999999999999999999999999999999999999999999999999999999182185185188190193190189188190192197196193191192194197197199199199199203205203203207209211211213213212211211211211210209209208207206206205204203202202203204205205205205206205205202202198197201204206206204203204203202201201200200200198198197197199197197198199200202203205204204204206203202202204208210208209207211209210207205206206205205206205202203204202202204204202202202201203202204209208207205206206205204202200200197197195189187185186185184183182182184182182185185187188187190192192191193193193193191191191192193196198204201199198200199200200200202204206205206206206206205205205204204205203204204202202203202201199196193192192192191191189189190190189189189190192192191191192193194194195199199197195198198195194192194193196197197199200199201202200201201200201201197197197196194195194193193194196195193193193191191189186185185184181181180180181182184186188189193194194194196199200201200198197196196198199198197198197198197196197197198198199198198197198197198197194192190188186186186186186186186186186186185185186186187187187188190190191191190191191191190191191192195196197197197197197198199200199199199198198197196194194193191191193194195197 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999221220221999999999999999220999999222222221221221222223223224225225225226225225223221219216211208209211213215214214999999999999999211210208208208207206206206205204205206206207206204204206206208209211212214214213216215215215214999999999999999999999999999999999999999999999999999999999999999999999204205206207206205204204206207209210212214215219223224223222221221219217215215214215215215215214214214214214214214214213213211212212210210210208208207207210214215216217218219220221222222223223222221221221220220220219218218219218218217216214212211211213215216218219219218220224226225225224224224222222222221222222222221221221221221220221221222222222222222223225227227226999999999999999999999999999999999999999999999999999999999999185187190193188189193195192192196194195193193192197197199201199200201202204206210211213214214214214213212212212212212212211211210209209208208206206207207207208207205202204204204201203202200202205207207205203204204203203202201201200200200199200200199198199199202202203204204204203203204204206205207206210211205205207206206207207206209208208207205206206205206205204204202201202202204204206206207205204206203200196202198195197198196193192192192190191190187187185184187188187187189190191192193193194192193192192192193194195197200201199201200197198200199199201204206206206206206205206206206206206205205205204203203202201200198194193193193190191190188190189188188190191191191191191191192194196197198200197197196197196198196196196197198199200200200202201200199200199202200201201202203202200199199199199201200199198198198198195193189190187185185185185185186187189189190194194195195196198200200199197197194194195197197197196196196195196197198198198198199198198198198200198196194192189187187187187188188188188188188187186186186187187188188189189191191191190190190190191192194195197199199198199199199200199200201200200200198196196196195196195196197198199 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999221221224222999999228223222222223223223221222222224225226226226228226226226226223220214209205202207210211212211999999999999999210210210209208207205206206207205204205207209208207205205202205206207208210212214214215215215213217999999999999999999999999999999999999999999999999999999999999999999999999999207207207207207207206208210212212213214218222225224223223221220217216215215215215215215214214215214214214214214214213213213211211211210209208207211213215215216217218219220222222224225225224224224223223222220220219219219219219218217216213212211212213214216218218218219224227227226225224223223223223223223223224223223222222222220222222221221221221223224227228226224999999999999999999999999999999999999999999999999999999999187186187189188185184188191194196196194194195196199200198199200201202203207211212213214215215214214214214213213213213214214213213212211211210210209209210209208209209210208208207207207206204203204206208208205204204204204204204203202201201201199200200200200201200202203204202203203207206206212208212212206209208209209207207205206207209211207205207208208207208206201202202204202204203206206205207206206207207205204202202204206206205205202205201202198196195194193192190190190190189188190190190190192193192193192193192192193192195196198197197198198198198198199199202205206206205206206207207210207207206206204207203203202201201198195193192194193191189189189189188189191190190192192192191193194196197199201199197196197197196197198198199199200201202200199199198199201200202203202203205206203202203203203204204203202201201202202200199198196194191189188188189188188190190193196194196197198199201201199196196194195196196197197197197195195196197197198199199199198198198198201199197196193190188187188188189189189189189189190189189189190190190189190190190189190190191191191192193194198199200201201201201201200199201202202202201200199198197197198198199200199200 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999234226225226227225225223225224224223222221221222223224225225225226227227224227225223219214208201198206207999999999999999206206207209210209208208207208208208207206203206208209209208207205203202203205207208210212214214214212210999999999999999999999999999999999999999999999999999999999999999999999999999999999207208208208209210210211213212213214217220225226226223222221219217216216216215215214216217217216215214214214214213214213212212212211209209211213215216216216216218219222222223225225226226226225224223222220220219219220219219218218216214212212213213214215217219220222225227228227225224224224224224224224224224225225224224222221221222222222223223222224226227226999999999999999999999999999999999999999999999999999999999188187188190190188186186189192193193192193194197199199199199201202205206209213215215216216216214214213213213213212213213213213213213213212212211211210211211210209210208209208208209208207207204203203206209209207206205206205205205204202202202201200200201201200200202203203203203203205209210208211213213207211214211207209207206206207207210212207204203209208209205204203202203204204208204205206207207207206209208211211213213214215216212213211212210209205203201197196198197195194192192191190190190190190189191193193193191193192193195195197197197198197197197197197198199200203205205207206207206209207207208207205205203203202201204200197194194192191192192189188191191190191191192193192194195195196197200199200199198197198198198198201200201202201200200202199199201202203203203204203204204204205205204204204206205204203203204205205204203201200201199198195194194192192193196196195195196200200203204202199196195195197197197197197197196195196196197198198199199199197197197199199198197194193190188189189188191191190190191193194193194194194193193193193193192191192192192192193196196199201201202202204204203204202202203204204205203201200200199201202201202202201203 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999223224224226227229228228227226225224223222221221222223224225225225225225225223225221219214212205201198198999999999999999999207208209210210210210210210211211211208207205207207208209207207205203202202204205207209211213213213211999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999209209209210210210211209213214215220224227227226224223221219218216216216215216217218218218217216215214214214213213212212211210210210210211213215215216218219221223224225227226227227225224224222221220220219219219219219218218217215213214215215215216217219221223224226227227226225224224224224223224223224225225225225224223221220220220220220222224226226225999999999999999999999999999999999999999999999999999999189188190193196193192191190189188188191193195195197200200203203204207211211213213216217217217215215214214213212212212211212212213214214214214213213212211211210209208208208209209209208209208206204206206206210210209207207207206206205205204203203203203203202203203203202203204203203204206207209212213215208215212211208210209207207206205208209212213204208209210207205205205205205206205208205210208212207206208214217214216216218220219212212218219217209212212210207204203198200199198197194195193191192191191190190194196193192192193193195196196198197197196196197196196197198201199199202204206207208209207208209207207205205204203203203199199195195193193192190191190190190192191191192194194194195195197199200200203201200198199200201201203202201202202201202202201203202203202204203204205204204204204205205205205205206206205205206206207207207207205206206204204201200198197200201201200201202203206206204202199197196195197197196198196196194196196196197198199199199199198197197197198197196194193191190190189190191191192192194194195195196196196195194195195194195194194194195196199200200200200201203204203206204205205207207206206207206204203203202204204204206204203205 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999223222224227229228229229227227226225223222221223222223223225225224225223224223223222218214208205200199199201204207208209209210209210211211210210211211210210211209208207207207209209207208205202201201202204207210211213213213211213214999999999999999999999999999999999999999999999999999999999999999999999999999999999999999209209210210210209211212213213219223226227227225224223221220218216216216215216217218218218218217216214213214213213212212211210210211210212215216216219221222224226226227227228227225224222221220220219219218219219219218218218217216216216217218218219221223223225225226226224224223222225224222222222222224225225225225224224221220220220220221225226226999999999999999999999999999999999999999999999999999999999189191195198199192191192193192191189195199198200201203205207209210211212213215217217218217216215215213212212211212211211210211212213214214215215214214212211210208207208210210210210209209207206205206207210211210210209208208207207207205204204204203204203203203204203203203204204204205207208208208210217214215213211211209209208208207207207208207209210209209207209205210206207206212210211215216216215211212215219219220223223224222222222221222221212212215217218212209208203200202200199198198195194192192191192192193194194193193194194196196198200199197194197200199198197199200199199198201204206210209207209210208208207204204204204202200202200197195198193191192192191192193193193193194194194196197198199201201202201200198199200201201202202202203203202201203203203203204204204205204206206205206207206206206206207207207206206207207207208207206206206207208207206207205204204205204204207205208208206204205199197196196196196197197198198197197198198198198198198199199198197197197197196197195194193193191191192193193194195196196197197197197197197196197198198198198198200200201201202201202204206206207207208209209210209210208208209208206206204205205205205206205203205 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999230224222225226228229229229228228227225224223223223223223224224223222222222222219218220217210210204200201201205208209211211211209210210211211211211211210210209210210209208207209209209208205201199196197198201205209210211212212211213999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999209209209208209211212214217221224225226226226225224222220218216216215215216217217218218217216216216214213213213214213213213213213213216217219221222224225227227227228228227225223220220219219220220220220220219219219219219219220222222223224224225226225225226227227228227226226225224224225226226225225226225225225224224222222222222224226226999999999999999999999999999999999999999999999999999999999190192192196196195190189191191192192193196200201202203203207210211212213213213217219220219217216215214213211211211211211210211211212212213214214215215214213209208206206208209210210209208207206205206208210212212212211210209209209208209207205205204205204203203203201201203202203203204208210211213215218218218215215213212210211209209209208207207207206208209203207210211208210208212213213214215216216216214218218217222223227224224223225223224224222222220218217217217217213208202205203203202200197197196194194195195195193194195195196196196197200202200200200200201201200199198198199199198200201203206211209209209208209208207205204204202201201201200199195196195195195195194194194194194196196196197199198201201203201197200199200200201202202202202203203204204204205204204205205203204205205206207208208207207206206207208208207207209208207207207207208208208210209209210210209209209208209208208208209207205200199198196196196197198198198197197198199198199199199198199197198198198196196195196194194194192192192194194194195196198199199199199199199199200199200200201200201201202203203205203205206208209210211212212212212212211209211210210209207206206207206205206206205205 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999224222224225227228228228228228228226226225224224224224224224223222221221221217216215212211206202201202202206209211212211211211211210210211211211212211211211210210209208209209210209207204201197194194194197202207209211209211218999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999210209208208209210213214216219221224227226226226226224222221219217217216215215216217216218218217217216216216216215215215215214215217219218220221223225226226227228229229226224221220220220221222222222222222222221222223224225226224223223225223226227227226226227227228227227227226227226226226227226227227226227226226224224224223223226227226999999999999999999999999999999999999999999999999999999999192193194197194193188185185186188190191193197200202205205207209211213213213216218221222220217216214213213211211211211212210211211211212213213214214214213213209206206206206207207208207206205206208208211212212212211210210210209210211211210209207207206205204204204203203203202205207207209209212214217221221214218214214213211211210210209208208207206208207209213206207209209209211213214215215215215215218217218221223226225223224224224220224221222222219219218219219219219216211207206205205204204201200199199199197195195196196196197195196197200203204203201202204203202201200200199198198197198200201205209208207208212211210204205205204203202202201201197198199198197197195196196196196197198199197199200201202204202202199199200201201202202203203203204205205205205206206205205206205205206206207208209208209208207208209208209210211211210210210209208210209210211211211212211212211211211211211210209209207204200199197197197197197198199197198198198199199200201200199198198198198198196196196196196195194194195195195195196197198200200201201201201202201200201200201202201202203203203203204205207209211212214216216217216215215214214213212212211209208209207208206206205205205 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999226225223225226227227227227228228227227226226225225226224224224222221221220219217212213211208201202204207207210211210210212211212211211211211210213213213213212210209209209209209207204202199196193193192193199204206207210999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999208209210210211214216218218220224227227226226227225225223220220219218217216215215216216216217216217217217217216217216216216216218219220221224225226226227227228229228225224222221223223225225226228227227227226227227227226226225225225226226227228228227227227225226225225227227227227228228229229229230228229228227227227226225226228227999999999999999999999999999999999999999999999999999999999999191192195197192190185184183183185185185186188192197202205206209211212213214216219221220217217216214213212212212213212213212212212211211212213214215214214213208206205205205206207208207206208207209210211213213212211210210210211211212213214214213211210209208206205204205205205206206206207211214216217223219218217215218216217216213212209209209210210209210212212213210211212213213214215213214214217217217219217224225226226226227224224221223219218218219218218218219219218219215214212210213211209205207205203202200199198199197195194193196200203205205204203207205204203204201200199199199198199200201204210209208209211211209205204205205204203203201200201200201200198198197198197198200200201201200201202203204206204202202201200200201202202202203204205205205207207207206205205206206206208208209209209210211211211211211212211212213214214214213213213213212213213214213213213212213212214212211212210209207203200199199198197198198199199198199199199200201202202202199200200199199199198197197197196196196196197196196197198198199200201201202202203202202202202204204204204204205206205205207210213214216217218220219221221220220218216216214213213211210210207208206206205206206 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999224227224225226227227227227227227227229227227227226226225225223223221221219217215213210207202201201205208209212212212210212212211211210211210212214214214212210209208209208207211209205200200200192191192195197201206207999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999208210210211212215217217218220225226227227227226226225222221220220220220219219218217216216216217217217216216217217217217217217218219221225226227227227228227228229228225225223224226227227228228227227228228229229229229231229228229226227226227227229229228228227227227227226226226227227229228228230229230230230230230229228229229229227999999999999999999999999999999999999999999999999209211210999192192197197194190186183183183182183183183185190193198203206207211212213214217221221220218217215214212211211211211213213212212212211211212213214215214215213208206206205206206207209209209207207211213212212213212212211211211211212212214215215216215214212211210209208208208207207205209210214216218220223218219223217216216217216215215211210213211213213212212214215213213215217217217215216215217217218218219223224226228225226223223222220219218217218217217218217219217219218220217214211209207206207209208207204203200200199199197200198199206207205203203205208208206207205204201199199198200200201202204207210210212212212209207205205205204204203201201202202202202201199199200201199201202203203203203204203206207206205203202201202202202202203204205206206206207207207206207206207207207208209210210211211213214214214214211212214214216215216216216215215217215215214214213213214215214215214212213212209207203200200199199199200200200200199199200200201201203203203204203203202201200199199198198198198196197198199198199199201201202203203203203203204204204206206206207208209209210212215215216216218219219219221222222224223223222221221218216214214211210207208208207206206205 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999229224225226226225226225224224225227227227227226226226226225223222224222217213213210207204203203203204207208210211210211212211211211211212212213214215214211210209208206207206205201201201198195192191192194199205206999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999210210211212215215216220224226227226227227226226225223222221220221221221221220219218217216217217217217217217217217218218220221224226227227227227227227227227229228226225225226227227226225225226227230231230230230230229229229229227229229229228229229229228229228228226226225225225225227227230230230999231231231231231231230230228225999999999999999999999999999999999999999999999211213211209207203195196198194190186184184183182183184184187191196198201204207210213215216219221222221219217216214213212211211212212213213212212211212212213215215214215212207206206207208208210210211210208208211213213213212213213212211212213214214216217217217216217215213211210210210210210210213214215218219219221215223223224225218215218215216214213213212212214215215214214214217215214214216217215217216217217220220222224223227228228224224222216216216215216216216217217217215217219219219218216214213210209208212212210208205204203202202201200203204207206205206201209208206208209209208205202200200202201202201204206209210211212211208208208206205205205205203204203203203202203201202203203202202204207208207207206209211209208206205203202203202202203203204204205206207206208207207207206206207206208210211211213215215215216216216215215216216217218218218218217217217217217217217217216215216216216215214214213209207202201200200200200200199200200200200201202203203204204204205206207206205204202201200199199199199199200200200200201202202204204205205205206207207207208209210211212214216216218218218220219220220221221222223224224226224223223222222221217215214213212211207207206206207 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999232230223221221222221999226225226227226227226226225226225223224224221219215211210208205206205205204206208208210210211211211211211213213213214216215213210210208206207207205204205205203199196195193193194203999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999210210210212215216218223226228227227226227226226225223222222223221221222221221221220219219218217218218217218219219220222224226227228228227227227227227227227228229227224224226226225224224224225229231231231233231231230229229229229229230229229229229229229229228227227226224224224224226226228230999999228231229231231230229229227999999999999999999999999999999999999999999999209210210210207207203198197197195190187184184183183183185187195198198198200203209212213216217219222223220218217216215213212212212211212212212212211211212213214215215215214210207206207208209209210211212212208209212213213213213213213212213213215216217218218217217219219219218214214212212213213214216216218221220223224219223223222224224221221216214218216216215216214216217217216218218215218217217217216218217218216216220222221227230229228225222217216216217215215216217216217215215216217219218219219218216215216213213214213211210208207206206205203207205205205206207207207208210209211211213212209207204204204204205205208209210212212211210210210207205206205205204204204204204204204204205205205206208212210212213213211213213211210209208205204202203203204204204204205206207208208208208206207207208208210211212215214216216217217217217216217216217218218219219219218218217218218218218219218218217216216215215214212209207202202202202201201201200200201202202203202202203205205206207208209209210210207205204202201201200201201202203204204205205205205206206207208209209209210212213214216219220219220221222222222222224224225228225225224225224223223222222222220217215215213212209207206207206 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999225224227228227228227227227226225227225222221219215214213211208208207208208208208211211213212213213214214215216218218217215212210209210209209207207208208208204203202196191188188192196201999206999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999209210212216218221224227228227228228227226226225224224224224222221221221221221221220220220219218218218219221222225227227228227228227227228227227227227226227228227225224225226225224224224227230231230230231231231231228229229230230230230229229229229229229229227227226225225224224224226227229999999999231230231231230228228999999999999999999999999999999999999999999999999209209209208206205201196195195196192189186186184184185189194200199199199202207211214215217218219222223223219218217216214213213213212212212212212212212214214214215215214213208206206207209209209210213213212211213214214214214213212212215215215216216219219218218218218219218217219218217217218216218218219221222223225224223224226224225221222223215215217219216217217217218217217218217219218214218216216216215219219217217218221225227228229224222220216215215217216215217216216215216216214217217218219219218218216210210215215215212211211211209206207207205207206207208210214214216215214216214215217217214212211208208209207210210210212212211211210209208207206206205205205204204204205206206207208209212214214215214213216216218217216215212209208205203204203204204204205205206208208207207207206207208207209212211213218217218218219219219218218218216218219218219219220219219219218218218218218218218217216216217217216213210207203203202202202201201202203203202201202202204205206210211210212212213214214213212210208205203203204204205205206205205205205206207207208209210210211212213215217219221222222221222223222222221223223225226225225226226223225224224225223223219218216215213211209208208207 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999224226226228228229228227227226227226225223222220220217218215215216212211211211212212214214216216216217217220218218217214212212213212211209210210209208209208207205201194191189193196201999999999999999999218999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999212213216219223225227229228229229227226226226226225224222222221220221220221221221220220219219219221223225227228229229229229228228228228227227227227227226227226225224225225224224225226228230231231230231230230230229229229230230229229229229229229228229229228227226226226225224224227228229999999230231230231230228999999999999999999999999999999999999999999999999999999207209208207203201197196195195194192188185186185186189194198202200201203208212212215217217218218221223225221219218217216215214213213212212213213213215215215216215215214211207206206207209210210209210212213213214214213213214212212215217216217218219219220220219219217220218219220220218220219219219221221222225223222223223225225221220222221224220220221220217217219219218218218219220219218217217217219217220221218217217220225226228229230228221218215218217216215215215214214214214214215216217218219219219217217214217216214213212210213210212210208209207207208210214217218222217216218220219220220220218218219217213214213213213212212213212211212211210208208208206206207206206206208209210212213218217216217218217218217219220218217216215213209206204204204204205204206205205206207208207207207208209209211212213215217218221221219220219219219220219220221220220221220220220219218218217218217218217217217217217217216214211207204203202202202202203204204203203202202204206207210213214214214215215216216217216216212212209206207208209209210209207206206207208210210210211212212213216218220222222223223224224223223222223224224225227226226226226226224224225225224223221220218217215214213211210209 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999225222227227229228229229229227228227226224224224223999999222221220218217216213213213217218219218219219219219219218216214214215214211210211212212212212212211209208205200192191194197198200207999209213215215220217217999219221999999999999999999999999999999999999999999999999999999999999999999999999999214216219223226227229230230230229229228226225225224221221220220220221222221221220220220220221224226228229230230230230229228228228227227227227227226226227227225225225226225225225227230231230230231231231231230230230230230230230229228229229229229230229229229228228228227227227228229229999229228230230230999999999999999999999999999999999999999999999999999999999999999208206205200200195197197197193191190189187187189194196200205202202205209212213214216217217217219223224223221219218218217216215214214214215215216216216216215214212212210207206207207209210212211211212213213214215214214214213214216216218218219220221221221222221221221222220221222221221221222222223223224223223224225225224225225221221220220223224225225224220220222221220219220218219220219218218218219220220216216218221227227229232230227222220218211216215214215216214214214214215215216216218220217220222219218216217215215213210214214210207208210208207209213218223221223223220224225224225222220220221222219217216219216216216215212211213212211210209211210209211210210209210212213214217220221218219219219219219219221220217217218219216213210207206205205205204205205206206206207208208208208210210211212215216219220220221221221220220222221222221222222221221221222221220219218218218218218218217217217217217216214212207203203203203203203204205204204203203204207208209210212214215214216216218219219220219217217215214214213213214214214214211209209209210211211212212214216218222222223222222224224223223224223224225226227226227227226226226226226226225226223222220220219217215213212212210 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999222217227225228228229229229229229228226225225999999999999999222222222220220218219219221220220220220218219219221219216216217216215213211212214214215215214213212211210205198196198198198200204209212215216215215214218219223221999999999999999999999999999999999999999999999999999999999999999999999999999999214219224228228230230230230229229230229227225223221221220220220221221221221221221222223225227228230230231231231231230229228228227227227227226226226227227226225225226225225226228231232230229231231231231232232231231231231230230230230230230230230230229230229229229230230231230230229228228228229232999999999999999999999999999999999999999999999999999999999999999999207205203197199195196197196195193192190189190193196195199205207209210212213214214216217218219218222224225222221219219218217216217217216217216217216216216214213212210209207206207208210212212212211212213215214214216215216217216218218220220221222223222223222223224223222223223224223223223224224224223224224224226226225225226226222224223223224224224225224224223223224225223223223222220220218219218218217217219217217222225227228229231228222219217217217218216216215214214216217216216216217219220218220223223218218218220218217215215213214208210211210211211216220224225227229228228228226225224223221221221221220219219221218217216213212212212211212211211212212211210211211214215216217218219221221222222221222220220221222221220219219219217213210207206206205205206206206206207208208209210210210211212213217219221221221222222222223222223223223224223223223223223222222222220220219218218218219218218217217217217214212210204203203203203203204205204204204204206207208211211212215215217218218220221221221222222219219221218219218220218218219218216214213212213214214216218221224224224223224224225225224224225226226226226227226226226225226226226226227226226223222221220220219218215212212212 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999226221221225228230230230230230230229229999999999999999999999999999224222223223223223223222221221221219219218219219217217217217215214212214216217218217216216216215214211206204206204202201205208213215217216216217218218221221999999999999999999999999999999999999999999999999999999999999999999999999999999999216222226228229230230231231230230228227224223222222221221221221221221221223224225227227228230230230230231231231231230229227226226226226227226226226226226225225225224225227229231231231230231232231232232232232232233233233232232232231230230230230230229229231231231232233231231229229230229230231999999999999999999999999999999999999999999999999999999999999999999205205203202198197196196196193192190190191192195197197198204209211212214214214216216218218220218221224225225223220219218219219218219218218217218217216214213212211209208207208210212212213214213213213215215215214216217217218218218219221221223223223222223223224224224224224224226225224223224222223224224224225224224222225221223223226223226227228228228227226226225226227227227227227225224223220220221220221222220219223224226229230227228222219217217217216216216215215216216217216215215215217216214220224223221222222218218217215216210215211211213215216217221225227229231231229229227226225225224222222223222223221221220221221218214214215215214212214214214215214214214215215217217220221221221222223223224225226225225225224223221220219219217213210208207207206207207207208209209210211210211211212214217220222222223223223223223224223224224224225225224224225223223222222221221220220220219218219217217217216217215213210205203203203203203204206205204204205207208208210211212214215217219220222222223222224223223222222222223222222222222222222222220220220220220222223223224225226226225226226225226226226226227228226227226226227227226226227227225226225225224223222222221220219217215213213 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999228228229224226229230229230230231229228230999999999999999999999999999999999220222222222221222220220220221218217216217218218217216215213212215217219219219218218218217216215214213211208205205208211214216217214213213215218219220223218218999999999999999999999999999999999999999999999999999999999999999999999999216219223227229230231230231231231228226225225224222221221221222221221222226228229229229229230230229229230230232232232229228228228227227227227227227227225225223224225226228229231231231231231232231231232233233233233234233233235233232232230231230230230232233236235234233233232231232231231231999999999999999999999999999999999999999999999999999999999999999999999999203199200197196197195194193191189191190193195198198201205210212213214214214217217219219220219221222224226224222220220219220220219220219218218217215215213213211211210211212214214213213213213213214215215214214216217218219220220219221222223224224223224224225224224224224224224224223222223223224225224224223223224220222224227229229228231231232235234232231232228232231230229228228228227227225225225222222222222224225225226227229228228222220219217217217217217216216216217215216215214215215219219224224223222223221219219217218217216214212214218220222222225223230233233231226228227227227226225223222223224225224223222223221219216216216217216214215215218219219217216218219220221220221222223227227228227229229228228227227226224222221221219219215212211210210210210210211212211211210211211212214218221223224224225224224223224224224224224225225224224223222222221221221220220220219220219218219217217216215216214213211207204203203203204205206206205206206207208209209209212215215218219221223224225224226226226225224224224224224224224225225224224224224225224225226227226226227227226226226227227228228227227227225226225226227226226226226226225223225225226225224223222221220219218217217 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999228222220224227228230229228229228229999999999999999999999999999999999999999999999999999999999999999999219217215215217219218218216216215215217218219220221220221221219218216217217216212208207209211213214213211212215217218220219999222999999999999999999999999999999999999999999999999999999999999999999999999999999216220223225228230232232232233230227226225225224226223225224224225225229229230230230230230231230229229230232233234230229228227227227227227227227226225225223224226229231231230231231231232232232232233233234234234234233232233233232232231230999999233233234236234234234233233233233232231999999999999999999999999999999999999999999999999999999999999999999999999999200198198197198198196196195195193192193194197200202206209211212213213214214216218218218219220221222224225226228224221221220219219219219219217218215215213213212212211212212214214214214215215216217216215216216216217218219219221219221222223224224224224225224224225225225224224224225223225225225225223226222219222224227227229232236237238239240241241240240241240239235232233227230229225227226226226223225223220224226225227228229225228221219219218217218217216217217217217216216216217218217220221221222222220221218218215218217217215215216219223224226222223222229230232227231228228227228226225225225224225223224223223224222222218221220220220220217220222220220221221221221223222224225225226229228230229229229230230229229229228225225223221221218217215214214214214214215214213212211211212215218222223225226226225225225225225225224224226226224225223221220219218217218217217218218219219219219218217216215215214213211208205204204203205206207207207206207208210209209209213214217221221223225226227227228227228226226225226226226225225226226226225225225226226227227228227227229227227228229230230227228229228227225226227227226227227226226226226227227226226226225224224223222221220219217 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999222221223225227228229227227999999999999999999999999999999999999999999999999999999999999999999999999999999999216217218218219219218216217218218220221222221222221220219218218218218216212210208209207207208209212215217219220220222223223220999999999999999999999999999999999999999999999999999999999999999999999999999217220221222227229232232233233232230228226226227228228227229229228229229229230231230230230230230229229230232234233230228227227227226226227227226224224225226228230231232232231231230231231231233233234233233233233233233233233232999999999999999233234234236234234234233233233232999999999999999999999999999999999999999999999999999999999999999999999999999999999199199198198199198196195196197195195194195199202204207208209211211211214215216217218219219219220221222224226227229227221220219218217217217215216215213213213213214214215216215216216218221223224224224221218217218218218217219222222222222223223223225224225225226226225224224224223225225226225225225224220227226227229230233235239240241244246245245246244240243242237241239239234235234228229228226225226226224224226227226228226227225229221219220220218218218219218218218218216216218217218221220220220222222219222218217218218218215215217221220226224227227229223230232233225230228227228227226227227227224225224225223223225224221219221222221221223222223221222222223223224224227225227228229230230229230232230230230231231232231230228226225224223220219218218218217217217217216215214213213215219223224225226226226226226226226225225225225226226225223221219219218217217217216217217217218218219219218217216215214213213210208205205204204205207208208207207207208209210209210211214216218223225226228229229229228229228227227227227226226227226227226226225226227227227228229229229230229229230231232230230230229228228227227227227226226227227226226225227227225226225226225223223222221221221219 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999230227226226228228227228228999999999999999999999999999999999999999999999999999999999999999999999999999999999218218217217219219218218217218218219220220221222221221220219218218218216213211208206204204206209213216217217217219220221222221999999999999999999999999999999999999999999999999999999999999999999999999999214217218221222228231232232232233234232229228228230230230230230230229229229229230230231230230229228228229230232234233231229229229228229226225224224225226227229230231232231231231231232233233233234234234234234233233234234234999999999999234235233237236235234234233233233235999999999999999999999999999999999999999999999999999999999999999999999999999999999200200201201201201201198197198198198197195196199203205206206206209210212213215216217218219220219219221222225226227228230228226224221221219218216216215216217216217219219220221223224226229230231233233231230229225222221220220222224225226225225223223225225226226225225224226226224227228227227227227226220224226230233234237238241245243245247244243244245244245241240243237240240237235238237233231230228225225227226226229227233227232231229222220221220218218218218219218217217218216219220220221220220220219220220219217218219217214214216219222222227227228228229231231231232227229227227227227227227227227226226225225225225226225221221222222222222225225224225225224225226225226228229229230231232232232232231230231232232231231230230230228227225223222220222220218220218217216215214212214216220222225227226227226226226226226227226226226226226225223221219218218217217218216217217216217218219218218217217216214214213212210207205205205205206207208208207207207207207210210210210212217221224226228229229229229228230229228229229229229228228228227228227227228228228228229230232232232233231232232232231229229228228227227228228227226227226226226226227227228226226226225225224223223223223221221 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999230233233231225227999999999999999999999999999999999999999999999999999999999999999999999999999999999219219219219217217218218218219219219219220221221222220219219218218218216215214213208205203203206210212213213216216217221221221999999999999999999999999999999999999999999999999999999999999999999999999999999999213216219221225229231233233232234236232229228229231231231229230230229230229230230231231230228228228228229231233235234232229228228228226225224225225227229231232232231232231230231232233234233234234234234234233233234234234999999233234236237235235235234234234233232999999999999999999999999999999999999999999999999999999999999999999999999999999999999999200201202202203204203200202200200200199197198198201204204204204204208209212214215217217218219219220220222224226227228227229231230227226224223221220220220222222223223226229231231230231233233233231233233234234233230228226227225226227228229228226226224227225225225224225225227226226226228228228227223226227229234231236239244244247246245246245244244242245241239244244243241239241243243240237236233233231227228226229226228228227230231230222221221220219219218218220220221219220218218221219219218220219220221220219218219219217217216218227226229225227229228229231230224232227230228228227228227227227227226226227226227227227225222220222221222223225225227227227227227228227228229230231232233233232232232231232231231231231231230229230229228227225223223221220219221220218216214214215218223224225226226225226226227227227227226225226225224222222220218218218218218218218217217217216217218218218218216216214213212213211209207206205206206207208209208208207207207208209210210212216219223226228229231232232232231230228228229230229230230229229229229228229230229229230231232233233233233232232232232231230229229228227228228226227227226225226227226226227226227226226225225225224223223222221221 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999219219220220219218219218218219219219220221222222220220219218218218216214214213209204204204204205208210210210213215218220220223224999999999999999999999999999999999999999999999999999999999999999999999999999999214215218221225228232233234234233235236233230231231231232231230230230230229228229230229230228228228228229231233234235235233230228227225224225225227228230232231231231231230229230231232232232233233233234234235233233233233235999999999236235236235233233234999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999200202202200200201204206203202201203201201200202202203201202204205206208210213215215216218219220220220221223226227227226229230230230229227226226226227228229230230231232231229231231231232234235235235236236236235235235233232230231232231231230229229227226225226224224226227227227227224226225226227227228232237235238239241243240242244245245243246242241246243243242240241239238242242243242240240238238238234233230232230231232232233227228222221221221220219220219219221221219219218219220220219218220220219220220219219219218217218220227227227232230230230225229228230230234233229229228227227228228227227226228227227228227227226222221223223221223224226227229230230229228229231232233233233234234233232233233232232232231232230230230230229228227226224224222223222222221219216215217221224226227227226226226226226227228226226225224224222221221220218217218218218218218217217216217218218218218218217216215213212212213212209206206205206208208209210209208208208209208209210211214218220224227229231232232232233232231230231229229230229229229229229229229229231231231232233233234233233233233231231231230230228228227227227227227226226225225226225225225225226225226226225225225225225224223222222 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999219219221221219218220219219219220220220222223224222220218218217216215214212211211209211206206203203206208209209212213999215999999222999999999999999999999999999999999999999999999999999999999999999999999999999216216217219223228232233235235235234236235234232231231231230228229230230229229228229230230229228228228229231233233233234234233231228226225225225228230230230231230230229230228230230230231232232233234235234234233234236234235999999999236235234233999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999200200202201200199200202205206205202202204203203204202203203203205208208211214216216214214215218219219220221223226226227227229230231231231231232231232234233232232232232231230231231232232232235235237237239240240241240239238235234235236236234233233233233231230228227225226226226226224227226225227226229232233236243245244243243246242245244242245242240242244241243241241240238239240240240240242241242241240233237232232229236237233232229227223221221221219219219220220220220219220220218219219218219220221219218218219219219220221221225230230231232231231231230229230230233234235233230229228230228228227228227228229229229228228228226223225224223222225227228231231233231232232233234233234234235234232231232232231232231231231230230230229229228226227225225224223222221220219218218221227228227227226226227227227227228227226224224222222221221219219218219219219219218218217217216217217218218218217216215215213213212212212210208207206207208209209209209208208208208209209210212214217221226228231231232235234235233234233233231231231231231230230230231231232232233232234234233235233234233233232232231231229228227227228227227227227224226225226227226225225225226226226226226225225224225224223223 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999227226225227226999999221221221221221220219220220219220220220221222223223221220217216214214214212211207207207207205204203201202204204204999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999216217218221226230232234235235235235235237235234232231232231230230230230230229229229229229229228228228229230231232233235235235235233229226226226228229228231232231231230229229228229230230231231232235232233234236237237235234999999999233234233999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999203201202201199198200203204205208211207205204206204204204206206206208210210215216217219218215216217216217219219221225226227228227231231232232233233232232233232232231231231231231231232233234236237238238239240242241243243241240241241241240240240238238238238236237236234232231228227225226227227229230233233233237238246248247244244245245244240245248248242247241240241240242240238239239239240241241240241239238238238239238230235235237232230229223220220221220219219221222222220219222221218218220221220221219220221221221219221223224225228229228228232228229229229228231233234235234230230229230232231229230230228229230230229228228229225224226226224226226228230232233235233231231234235234234234234233233232232231232231230231230229229228227227227227227227226226223221220218219222224225228228227228228228227228227228229229225223223222222222220219219220219220220219218218217217217217218219219218217215213214213213213213212211209206206207208208209208208209208208208209210211212214219223227229232231233235236236236236236237236236233233232231231231233232233234234234235235235235235235233233233234232230229229229228228228227227226226226226226227226226226225225225225225226226225225223223224223 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999229229228227228228228226225223222223222222221220220222219221221220221222222223224223221220216217217216215210209209210208206202200199199200198199999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999218221225227231235236237236236235236235236235234233232231231231230230230229229229229228228228228229230231232234236237237237237237234231228227228228227230231231231230229228228228228230229232232233233233234235236234234999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999202202202200201200203205207207209213217213209208207206209210213213214215218221221220221220219220221222219218218218224226227228227230231232232233232231231231231231230231231231231233235235236237238238239240243243245245244244244246247246245246246244245245243247239242241240238236227225227232231231234237236237244245248249244250246244244244242246248248244243243243241246244244239239239239240239240241241237240235239239238232236234235232231229222220220220221219221221221220220220223222220219221221222222220222221221218220223224227228230227227226232231231232229231231232234228233236234231230231230231230230230229230230229229229228226225226225226227229229232233235234234233232234234234233233234233233232232232231230229230230229229228228228226227227228227227225221220219222228228227229228228229229229229230229229229226224224223222222221220220220220220220220219218218218217218218218219218216215214213213213213211212211211210208206206210209209209209208208208208210210209212217222224227231232231234234234236236237236237237236235234234234233233234234237235236236236235236236236236235233235233232230229229228227227227226226226225226226226226226225226225226224225225225225224224224223223222 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999229230231230230229229228228228228227226224223223223221221221222223222220221221221222223224225224223222221222220219215212210210212210205201198199196195199207999212999999999999999999999999999999999999999999999999999999999999999999999999999999999999999222222225226227231236237237236236236235235236236235234233231231230230230230230229229228229229229229230232234236236238237237237237237236235232230229228228229229231231231229229229229231230231231232232233235234234234232232999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999205203203203199201203206207209209211216219217216216215214220221224223224226229228229226225224223223226223224222222220221223224224227228230231231231230229230230230229230229229231232233234235236237237238238239241243246244245246249249249249250249249249248251252251251249248247244241242242236238240235237238242247247248244243245246245243247248249248249247246242246246244245245243242241240240240240238240241239240243242239238236237235235232230229222219220219220222221221220219220222222222222221222222222222222222221219220223228229232232230229230234232230230232231231233233235234234231233235233232231232231231230230231230230230229229228226227227227228230232234234235235235232232233234233233235235233233233233232231230231231230230229229229228227228229228227226225223221222226229230229228227229229228228230229229229228224223224223222221221220221221220220220220220219219219219219219218217216216215214214213214212212211211211211209208207208208209209209209209210210210210213216220222225228230233233235235236238237237237238238237237237236235236235235235235236236236236236236236236235235234234233231230229229228227227227226226225226226226226226226226226226226226224225224223223223223223223221 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999229228230231231230230229228228228228227227225225224223223222224223223222221221221222224224224224225226225222223222221221218216215215213213211208206203198196199204205219999999999999999999999999999999999999999999999999999999999999999999999999999999999999999222223227227229234235237236237233235235235235237236235233232231231230230230230230230229229230230231234236236237237238238238238237237237237235233232231230229230230231230231230230230230230231232232233233234235235233232999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999206205205206203204205208210211213217221221226225226229232233234240239237234233233233231228228227224227226224224225224223221222224225226228228229228228227227228228228228229230231231231232233234236238239241244246247248249249251251251251251249250250251251251252253249254252253248245244243245245244242240242246251248247244246243245247244245247248244246245246244244245245242245242241241241239240239242241240241238238241240236239237235234232229229224221223220220220221220219219220221222222222222221223223223221223223225225230231230230224225222225226225223231230230230229232232231231233234234234233233232232232232232232232232230230231228226228229230231233233234236235235234233233233235235234234234234234233234232231231231230230230230229229229228228228228227226223222223225229230232230229229230230230230230231231229226224224224223223222221221221221221221221221221220220220219219218216217216216216217217217215213213214213215213211210209209209209209210211210210211211211215221225225227230233234235235236235236238238237238239239238237237237237236236237236235236235235236236236236235234233233232231230229229228227227226226226226225226226227227226226226225225225226225225224223223223222222221 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999228229230230230230230229228228228228228227225224224223224224225224223222222222223224225227228227226225226221220220220218219218218218215214212209207204200199199202203216999999999999999999999999999999999999999999999999999999999999999999999999999999999999999222223227228231234237237236236236236235236235235235235234233232231231231231231231230230231231232236237238238236237238237237236237237237237236236235234232230231232231231231230230230230231232233234234234234234233232999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999210208206207207206207208209212214217223224230233234236239240242244243242244244244240239240232231231231229229228228229226225225223221224225226226227227226226226227227227227228228229231231231233234235238240242245248250251251253252253253251249251252252252254254252252252253253253251250251249248248246247247246250252249247245243242243245249248247246247246246243236242239243244243243242241242240242240239239239241241240240240235240238233231231227226223224223221222220220219220221221222222224222220223222222224226226227228232231225231229226226224229225231233231232234233233234233231235235235235235235236233233233233233233231231232231231231229229232232231232233234235235235234233233233234235235234234234233234233232232231231230230231230231230229228228228227227227224224223227231231232233231231231231232231231231229228226226226224224223222222222222222222222221221220220220219219217216217218218219219220220220221219219218216217215214214213209210209210211211212212212215216219223227227232233233236235236236237238238238238239238239239239238237237237238238237237236236236236237236236236235235233232231230229229229227226226225226225226225225227226226226227226225225225225226225224223224223222221 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999227228230229230230229230229229228228228228227226225226226227228227227227225224224223225226227228229229230226225221218217220219219218219219218215217214210206200200200202203209999999999999999999999999999999999999999999999999999999999999999999999999999999999999999223225225228233235238237237236237236235236236235236236235234232231231231232232232232232233234236236237239239239238235236236237237237237236236235236235234233232233231231230229229230231232234234234233233233233999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999212210209209209208211212214216217222227233238240239241241242245247248249249248247247245238240238236234235234235233231229228225225224226226226226226225225226226225226226226227228226228230230232236238240241245248251252252253253254254253252253254253252254254254254251253245253252252254256254251252250251249249252251252249247245248239242248244246246245237241247245243242244243243243243243242242241240242240238239241242241240239237237234231228228230227226221222222220221221221222222223224224224226224224226228226227228232233230232230232230231231231230231231232233233233233234234235236235234234235235236236235235234233234232233232232232232231232232233232233234235235236236235234233233235235235234234235234233233233232233233232231231230230230230229228229228228224223223223228232232232234233234233233234233232231229227227227225225225224224223223223223223223221221220219219219218218218218219220222222222222223224222222220219218217216217215215214212210213212213216217219223225225228230235235235236236237237238238238239238239239240241240239239238238238239237237237236237236236237237236235234233232230231230230229228227227226225225225225225226226226226226226226225225225225226225224224223223222 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999227228229229229231229229229229230229227227227225226228228229229230229228226224225226227227228229230230229226224221219219219219219218218219219218219217212206200197199200204210211999999999999999999999999999999999999999999999999999999999999999999999999999999999999222224226229232236238236236235235236236236235235235235236236233231231231233233234234234235236236237239239240240239999999237237238238237236236236237236236235233234231230230230230230231232233234237234233233999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999211210210210211211212215216217221227231239240240240239241243247248248249250249246250249249246241241240237237237236238233233233232229228228227226226225226226226226226226226226226226226229231233236239241242246249251252254255254254254253253255255254254254253253255253253252255256257255254251252257254253249249251251253250247245244248247246245247246245238245245245243244244245242244243243243242242239234240240240240239240238237237237235230231228227224222221219220220221221221219223223224223224223224222222222226229234231229232232232228228231231233232232232230232232235235235236236236232235234236236235236236237238236236235234233232234233234233234234235236235236236239236236234233234235235234235234235235236235233232233232232232231231231230229230230228227226223223223226229232234236237238237235235233234234232230231230228226225224224224223223222222222221220219219219219219219219219221221221222220221222223224225224223222219219219220218220220218218218220219221223225225227227230234237235236237237237237239239239238239239241241241241240239239238237238238237237237237235237236236237235234233232231231231230229229228227227226226226226226227227227226226226226226226225225226226226225225224223 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999234999999999999229229228229230229229230230230229230228227226227227227228229229230230229226224225226227226228228228224227224222220219218219219219218218218218218218216211205201200201204208213214999999999999999999999999999999999999999999999999999999999999999999999999999999999999223223225231235236237237237236236235236236236236236235235235233231231232234234233234235236236237238239240240239237237236236238238238238237236236236236236236236235233232231231231232232234234235236236235999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999214212213213213215218222222224226231238242242240242244247255256256256256256256256255256255255253250249247245245244243240237236235231230230229227225226226226226226226226226226226226227229230233237241242245249251251252253253253254254254255255254255254254255257254253254254254256253254254255256249247252251246253252251250247245244245245246245246246247245244244243244244244244245245244242241240240240240240240238238240236238237237237235229230230224221221221222221221221222223222223222222225226225224220220221224232232232229226231224225232232233233233230229231233234236237236236236235235235237237236236237236238237237237238235235235235234235235235239236237236236237236236237236235234235235236235234234235235235234234234234233232232232232231230230230228227225224224227230231233234237237238238237236235236235232232232232230228225224224222223222221221220221220220221222222221221221221221222222222222221222223223225225225225223223222224223223223223223224224224225225225227229229235237236237236238238237239239239239240239241242242242241241239239239239239239238238237236236237235236236235235234232231231231231230230228228228227227227227227227227226227227227227227227227226226226226226225225224 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999236235236236232230228229230231230230230230231232230229228228227227228228229230231231229228227226227226227227226224222225223221220218217219219219219219217216215214212209205203204204206211217216223999999999999999999999999999999999999999999999999999999999999999999999999999999999222224225232236238239238236236236236236236236235235234235232232232233233234234234235236237236237239240241240238238237237237237238238237237236235236236236236236235234233233233233232234235236237238237999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999213218219219222223227228229230233239242245248247252257258259260259259259259260259259259258257258256253250249251250246245241238234234233230229226226226226226226226226226226226226228230231234237241241246251252253254254254254253254255254252254255254256256255254256252252254258251254255255250251250253250246253253250247246245245244243244241243246247244244245245245245244244245244244242242240241241242240239237240240239235237238236233231232225221220219222223222223223221223222224224225227226227222222227231233233233231228227226233234233234234230233233234234236235236236237236237238238239237238238238238237238239238237236236236236236236238238236238239239238239238238237238237235235235237238237236234233233234234234233234233233232232231231229228228227228228228228230231235234234236236237237237237238237235235236234234233232230228226224223223222221221221222222222223223223222221222221222222221222222223224224225225227226225226226226226225226227227227227226225227228229230236237238238237238238238238239239239239239240240241241242242240240238239239239239239238238237237236235236236236236236233232231231231231231229228228228228229229229229229228228228229229227229228229229228228228229226227 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999235235234232231230229229231231230230231231231231231230230229228227228229230231231231231231230228228227229229227222221224222220217214216217218218217217216215213212209207205203204206209213217218999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999225232236239238238238237236236237237234235235234233231231231233234234234234236237237237238239240241240239239238238237237238238238237237236236236236235235235234233233234235235236238237236236235999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999215216220220222226230232233237244247251253256258259260261259259259259259260260261260259259259258259255256255254254252251251244240238236233232230227227227227227227227226226227227228229232236236240242247251252253254253254255254254254255253253254255254252253254254251255253253254253257255252251254255252253253254249248244243245244243245243239246247244244246245245245246245244243244242243241241240242241240239238240238238239236230232230230224222223224224223224224223221223224226231230230230229229232233233235234236234235235235236232236237237235237238238239238235238238238239240239238240239239240239239239243239239238237237237237237238238238238241239238239240238238239237237236236235236237237236235234233231231231231232231230230231230229229229229230231231231232232233235234236235237237238238237237237236236236236236236236235234234232232230227226224225225223224224223223223223222222223223223225224225225226227226227228228228228227226227228228229229228228229229230231234236238238238238238238239239240240240241240241241241240241241242241240239239239238238238238238238238237237238238237236235234234233233233232230230229229229229229230230229230230230232229228230228229227228229227228229228 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999236235234231230230229228229230231230230231232231231230229229229228227227229230231232232231231231231232231231230228226225223220218214214214213215214213214212211211210210208205204207208211211214219223218999999999999999999999999999999999999999999999999999999999999999999999999999999999223229235238240239238238238235236238238237234233232232231231233233234235235235235236236237238240240240240240239239238238238238238237238238237237237236236235235235235235235235236236236236237237237999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999218222225227231234238241245251256258259260261262262261260260261261261261261261260260259259258258259260259258258255255254251244244241238235233229228228228228228226225227228227228231234235239243247248250253253253253253255253252254255253253251253251252252253252254254253254253254256255255254255255253253254251249246245246244243242242240243245244245245247246246245246244245243245245243243242241241241240239238240237238239238235230231226223224223223224223223221223223223227228230227231222226231228233235237237237236236234234236233238238237236238237237236237238238238237240240238239239239238240240239241241240240238239239239239239240239239239240238239240240240238238238237238237236236236237237237237236235235233232232230230230231231231231231231231232232231233233234236235236236237238238238235238237236236236237237237238237236236236236236234234233233233232232231230227228228225225226224225225226225226227228229229229229229230230229229230231231231233232232232232232237238239239240240239240239240240240240241241241242242243242242243243242242242240240239239239241240240239240238238237237236235234232232232232230229230230229229229229229229230229230231230229230230229229229230230230230230 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999239237234232230230229229229229230231231231232231231231230229229228228228228229230230232232232231232232232232231230228226225223220217213212212213211209208210209208208206207207206206207210211211212218215999999999999999999999999999999999999999999999999999999999999999999999999999999999999227232236239240239239238237238238237236234232232232232231232233234235235235235235236238240239240239239239239239239239238237238238237237237237237236236236236237235235235999999237237237237238237237237999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999221224232235241241248254256258259261261262263261262260262262261262261261261259260259259259259258258260260260260258257256255252250246241239236233230229228227227226228229229228229233235239244248250251252254253253252254255255254254253252252252251251251251251252253252252254253255255255253256256256254254253251248245245245243243239241242243242243245247245247246245246247247245244246245243241242241242241240239238240239241237232230228225225224223223224222223223224224227227223227227224225228230235236237238237236236236237231237237238238237237237237237237237238241238239240240242241240240241241243241242242242241241240241241241241242242241241240243242242242241241240239239237236235235236237239238238238238237236237237237237236236236235235234233233232232233234235237237237237236238238238239237237237237237236237238237237236236236237236237237236236235234236235235231231230230232228229229227227227226227228229229230230230230232231232233233234234235236235234234234235238240239240240240241241239240241241241241242242242243243242243243243243243243243241240240241241240239239240237236237236236236235232232231231230229232232230230229229229229230230231232232231231231231231231232234233231232 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999239239238235234232230230231231230230230231231231231231231230229229229229229229229230231232232232232232232232232232231228226225223221222216215213213209209208209208208207206205206207207207209209211212999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999230234237239240240239238236237237235234232232232232233233233233234234235235236236238240241240240240239239239238237238238238238238237237237236236236235999999999999999999999999237237237237238238238999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999238238999999999999999227226230233238247250254257260261260262262263263262263262261261261260260260258258258258258258258259259259258260260261260260259258257253251247242241237234231229228229229231231231230232235241244246250251254255255255254253255255255255251252251252251252251251252252253254253253253253250256257254256257254253254253251247250245244245242241243242241243244245247244245245245245249249249246246246245244242243241240239239239239235241236230227226222225223224224222221224225226225227230229227227232233232236236238239238238236236236240238237237237237235236236235237237240241241240241240240240243243243243243243245244244244243243243242244243243243243243243243244244244243243242241240239237236236236236238238239238237236236236237238238238238238238238238237238237237238236237237238238238237237237238238239238238238237238238238237236237237237237237235235237238236237236236234234233233232234235231232233231231231228228229230230232232233233233232236236236235237237237237237235236237240240239240240240242241241240240240241240241241242242241242243242243243243242242241241241240240239239238239237237237237237237236233232232231231231232232230230229229229229230230232233232232232233233232232233234234235234 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999235238240239240238237231232230230231231231230230230230231231231231230230229229229230230231231231232232232232232232232232232231230228225225224222219217216216214213211211208208207207206206207208209209211213216230999999999999999999999999999999999999999999999999999999999999999999999999999999999999999232235238240240240239237237238236235233233234234233233234233234234235235236236238239241241240240239238237999999999235235235236235234234999999999999999999999999999999999999999236999239237236999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999242239234999999999999227230233237241249255258260262262263262263263264264264262262261260260259258257257257257257258258258257258258259259260261261261260260259255253252246244241238234233231231231233231232233235239244246249252254255255256255253254254255254255251251251252251251251252253252252252249251252251249254256255255254253254253252248245248246246241243243242241241243244244246245245246245245248251249249248248247245242240242240239239238240239239233231229225225224224224223224224224225226228225232230231235234233238237236238238239238239240239239240240240239240241240238241240239243242242240243245244248245245245245245245245245244244244244244245245245245244245245246245247244244244245244243242240239238237236236238238236236236236237237238238237238239238238238239237237238239239239239239239239238238238238238238238238238237237238238238237236237236236238238237238238238239238238239237237237236236237235234233235235232231233231231231232234235236235236236237236236238238238238237236234235238239239240239239240240240240239241240240241241241242242242243243243243243243243242242242242241242241240240240239239238238238237237234234234233232231231230231230230230230230230232232232232232233233234234234234235235235235 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999238239240240239239237233232231229229229230230229229230231231231231231230230230230230231231231231232231231232232232232233232232231229227226224222221219218218217216212208207204207205206207209209210212214218220999999999999999999999999999999999999999999999999999999999999999999999999999999999999999231235237237239240240239238238238237235235235235235234234234234234234235236237238240241241241241240999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999238234235999999999999227229234237246252258260262264265265263263264264264264263262262261259258258257256256256256256257257257256256256257258259260260261261261260258255253252252247241237234234234233235234234235238244248251253254255255256255254253254255255254253253251251251250250249249250250252252251251252251250253255254254254253254252250247248246245243241244242239241241242243244244246245245247246249246250247249248247245245244243237234242243240239240235231228225224225224224223223223223224227228226229231233235235238238233237240240239239239239239239239238238238236239239240239237236239241243243247244245246247247247247247246246246246247246246246245246245245245246246247246246246246245244245244242241242240238238236238238236237235236237236238238239238239239239240240240239239239239239239239240239239240239239239239238239238238239238238237237238239238238239240239238240240240240239239239240238239238236236235236235235233234235234234233234236235237235235237236237239239239238238237235234236239240239239239239240239240240240240241241241240241242242242243243243242243242243242243243242242242242241241240240239238238238238237235235235234233233233232232231231231231231232232232233233233234234235234235237235236236236 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999239239240241240241240238236234231229228232228230229229229230231232231231231230231230230231231231231231231231232232232232233233232231229229227227225224221220221219218215210209206203202206208209209210216220223999999999999999999999999999999999999999999999999999999999999999999999999999999999999999229233237238239240241241239237237237236236236237237237237236236236236236237237239240241242241241240237999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999237232999999999999999229232237245254258261263264264266266263264265266265264262261259258257257256256256256256256256256256256256256256256257258262261260261261260260258256253256251248244240239238236235236238240244248251253254254256256253253254256255255255253253252251251250250250247244250250252250249249250252253254254257255255254254252249245247246242241242244241241242242243242244245245245245244247248249249249247249249248247243242241237241241236242242238232229225225224224225225224225226225228232227231231234234237237234236240239239241236238239240239239238238236236238240242240243241245245246246245247245248248249248248248248248247247248248248247247247247246246246247246246246246245245245245244243243242241240239238240240238238237236237238238239240240240240241241242241242241241240241241241240240242241240240239238239239239238240238239238238238238239238238238239239238240241240242242240240241240241240238237238237236234236236235233234235236238238239238238238239239239239238237237235235237239239239240239239240239240240240240240241241241241242241242242242242242242242241241242243243243243242242242241240239239238239239238238237235235235234234234232232233232231232232232232233234234233236236235235236236235236236 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999238238240240241240240238238235233231228228230232231231229229230230231232232231230231230230231231231231231231230230231231232232231231229229230230229229227224223221221220217213211208204203207209209211214217221221999999999999999999999999999999999999999999999999999999999999999999999999999999999999230231236238239240242242240239237236237237237238238239239240238237237238238238240240242242242241240999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999239239239240999999235999999999999999236241248254260262261264266267266265266266265264263261260259258257257257257258257257257256255254255255255254255256256257260259259260260261260259257255254253251248246246245245242247248244248251254257256256254256256255254256256256254254253250251251250248247250251250250248249249249249250249252251253251252252254250249245245244242242242243241241242242242243244245245245246246247248250248246249250248249244243242242239242242244241240236232229226225225225226226226227227228230231232232227231236236238239239240239239238238238240240242239238238238241242242243243246247249243250251251251252250249249250250248249248249249250250250250249249248248246248248248247247247247247247246247246246245242241241240241240238237237237237238239240240240241241242243243243245244243242243243243242241240240240240239238239239239238238238238238239238237238238239239239239239240240242242244243243244244243243241242239238237237237237237235236236237238239239239239240239241240240238237237235236238239240240241240239239239239239240240240240240242242242242242242242242241242242242241242242243244244243242242242240240239239240239239239237237236236236236236235235234235233233233233233233234235233235236236236235237236236236 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999239240239240240240240237236234232230230230231231229230230228229231232232232231231230231231231231232232232231230231231231231231232230230229230231231229228229227226224222220216215212207204207210210213216218219216999999999999999999999999999999999999999999999999999999999999999999999999999999999999233236238240239242243243241237237237238239240240239239240240240239239240241240242242242242242240999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999240242243242999237999999999999999246250253257262263265265266266267266265266264264263262260259258258258257258257258257257256255254254253253253253254255256257257258259260259260260259258258258257255254252250251248249250252252253254256256256255255256255256254257255255254252250249249249248246247249250249249246250249249250249252250250253253253252250250248245245241243244242242240241241243243243244245245246245246242248247243249248251249249249247246242238244242243241238242236229226227227227226225226227226227230230231230232236238236238239238238235235238239239239237239239238238239241242242244245244248249249253253251252251251252251250251250251251250251251251251251250251250248248249249249250248247247247246248247246247244244243242240240241239237237237238238238238239240240242243243244246246245244243243243243243242241240240239239239239238239238238238238238238238239239239240240240240241241242244246244245246243243244244242242240238237238238239238237236237238239239239239239240240241241240239237237236237239239241241243241241239239239239240240241241241241241242242242242242242242242242242242242242243244244244244244243241241240239240240240239239238238237237236236236236235235234235234233234234233232233235235235236236236236236236 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999238237238239239238238238238236235233231228227227226228230230229227228229231233232232231231231231231231231231231230231230231231230231231231230231233232233232231231229228227226223218216214209205207209211216216211211212999999999999999999999999999999999999999999999999999999999999999235231229231231233233236240241241241242243242240238237239240241241241241241242243241241242243243242244246245241240999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999233999999999999999999999999999999999999999999999999999246245242999999239242244244247248247245999999247251255257261264265266266268268267267266265265264262262261259259258259258258258258258257256256255254254253252252252253254254256256257258258258259259260260259260259258256256255254255254254255256256258257255255255257255255255257258257255252249249249248247250249249245247250250250250250250253251252251250251253252251250249248245243245245243243242243243243243243244243243245246244244244241245249248247249249249248248247240238245245242242241242237231230227229229227227228229229229229229232233235236238239238239239238237236240239239238240240240240240240240241242244244249250251252252252252253251251253253252252252251251251252252253252251251250250251249249248248246247247246246246246246245245245243242242239238241238238238238238238238239240241242242244245246247246246245244244245243243243241241240239239240238239239239238238237238238238238239238238240240240241242244246246247246247245244245245243244241239239239241240238238236237238238240239240240240240240242241241240239238238238240241242242242240240239239239239240240241242241241242242242242242242242242242242242241242242243242244245245245244243242241241240240241240240239239238238237237237235236236235235235234234233233234235235235235236236236236235 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999237237237237238238238238237238236234231229227226229229230230229228228229231231231230230230230230230230230230230229229229230229230230229231232232232232232231230229229230229227225220216212208207207211213216218219211211999999999999999999999999999999999999999999999238239999999999235235233229234235236236239245244242243242241240240240240240240241242243243243245243242242245244244245244245244999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999232999999999999999999999999999999999999999999999999999247247247999999999999247250251252253252999999248252257260261264265266266268269267268268265265265262261261259259259259259258258259259258257256255254253252251251252252252252252254255255256257258258257257259256258258258258258256257257257257257257258258256256257255256255255256258258257254255255253251252249250251249249252254253253254254254252252250249249253253251252251250246245243245245245242242243243243243242243244244245247244246248248249246247249248248249251245250246244247242241243242241240236231229229228228230230230229230232232234235235237238239238238238237236239240240237239240239239239240241241241243243247250251253253254255252253252253252252253253252253254253254254254253252252252251252250249248249248248248248247247247246246245244243242242240239240239238239238239240239240241242242243246246247248248248247246245244243244244242241240239240240239238238238238237238238237238239239239240240241240242243245247248248248248247247246245243243242240241238240240239239238237237238239239240240239239240241242243241242241239238240241241242241242241240238238238238237238240240241242241242242242242242241242242241241241241242242243243244244244245244244243242242241240241240240240240240239239238238237237237236235235235235235235235235236236236236236236 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999238237234238236237238237237236236237231229227227227230230230231229229228231229230229229230230231231231230229227228229230229230229230229230231232230231231229229229229228227225224220215212208208208211211213216219216210211211999999999999999999999999999230999241999234234238235234236999999234236237237239243248247245244243242242241242243242242243242244244244245245244245246245246244243242999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999232233233240999999999999999999999999999999999999999248250251251249999999999248250253252254254253251251254258261263265267266267267269269269268267264264265262259260260260259259259260260260259259258256254253253252251250252252252252253253253254255256256257257256257256257259259258259258259260259256258259257257255257259256255256258258260259257256257255253252251251252249250251251254256254254255253254253254251252254254252251252250246246245245245244243243243244242244244244244243242245247247247248250246250250250251250253250250249250251247245242244239241237236233232232230231232231233232232234233235234236236237236236236236238239238239236237239239240241240241241244243248250253253254255256255255254254253253253253253253254254255255255254254254253252251250250250250248248249248248247247247247246245244244242242241239240239238239240239240241242242243244246247248249249249248247247245244244245244243243241240240240239239238238238237239239239238239239239240240241242245245247248248248248249248248248247245247245242242241241240240239238237237238238239239238239240240241243243242242242241240240240240240241241241239238237237237237237239239240242241242242242241241241241241240241241241241241242243243243244244245246245245244244243242242242242242241240240240240238238238238237236237236236235236235236236236236236235 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999239237235233235235235235234234235234234232231230231230230231228229229228230231230229229229229230232231230228227228229230231231228228228229230231229230230229229228228227228225224220213209205205208210209211212211216211212999999999999999999999230229233234999233233233999234237234233232234236237237238242247248246242242241240241242242241241241243243243244244244243244244244245244242240999999999999999999999999999999999999999999999999999999999999999999999999999246247248248999999999999999999999999999999999999999999999999999999233233999242241241246246999999248999999999999999999250251251251251999999248249252254999254256256255255259261264267267267267268268269269269268267265263261260260261260260260260260261261260260260257256255255254252251252252252252253253252252254254255256255255256256256257257256256257258258258258259258258257257255255253256257258259260258258256257256255253255253253252250251256254254255255254255253254252250253253251250251249249249245244243243244242243242243243244243244244244244245245248247246247246247249249251250251249251249245246246244243244241239241241239234233232231233234235234233233233234233235239238236236236236236237237238238238239239240240239239241243243247249253255259258257257257255255256255255254254255255255255255256256256256255252253253252251251249249248248249248248247247245246245246245244242242239241240239239240241242243243243244246248250253253252250249251248247246246247245245244242241241240240239239239239239239239238239238239240239241241243246246248249249249250250250250249247246246246245244242241239239238239238237238238238239240239240241241242242242242243243241241241241241241241240238238237237237237237237238239240241243243243242241241240241241240240240240241243244243243245245245246246246246245245245245243244243242241241241240240240239239238238238238237237237237237236236235236235 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999234233236237236234234238236235236234233231230230230229229228228229228229228228228229230231231230229228228229231231231229227226228227229229229229229228228229228226224223220212204204205207208206206213214211211221222999999999999999231228999999235233999234234235235235235233233237238238238240247251247999241241240241241241241242242243245245245244244244245245245245243999999999999999999999999999999999999999999999999999999999999999999999999999999250248249248248247246999999999241243242999999999999999999999999999999999233234233236237999999999999999249999999999999999249249249249249249999247249253255256255255256257260260262263264266268268268269268269268267266264263262261260259261259260260260260261261260260259256256256256254253253252253253254254253254253253254254255254254253254255254254255256256256256257255255254255256253256255254256259259258258258257255257257256255255253251252251252254254255251254256254253254254254253250251251247249251249246244243242244243243242243243243243244243244245245246247247246247248249251251249249250251251253254250246245241246243245243240240237237237236236234236235235235235237236237239239238237237237237238238237238238239239240239239238239243244246251255256259259258259257254255257256255254255256256255255256256256255256255254254253251251251249249247249250248248248248247247247246245244244244241240240240240240242242243244244246249251253254254253252250250248247247246247245245244243241241241241240240240240240239240239238238240241240241243245246248249248249250251252251251249249248248246246245245244242241240240239238239239240240240240241240240241242243243244244243242242242242241241240239238237237236236237238239239240241242243243243241241241240240241241241241241243244244244245245245246247247247247247247246246246245244243243243242242241241241240241240239238238238237237237236237235235 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999236233234234233238238238236238238238236237234235234232229227227228228227227227228230231231230229229229231232231231230229226227227228229229229229229229228228226225223218214205204207205206205206206214212212999214999999999999230227999999230235233233234234234234235238236236237239238239244251253999999239243242240241242243245245245247246245244245245246245244243999999999999999999999999999999999999999999999999999999999999999999999999999247249249250250250249245245999241242241242243999999999999999999999999999999999999235235238239245247248249251251251253252251250249249249249251252253254254256256255257258257259263265265264265266267269270268267268267266265263263261260260261259259260260260260260261260260260260259258257257254254253254253254254254254254254255255254251254252252252254254255256254255255254254255254255256255257257256257259258258257258258258259256255255254253253253252253253256255252251253255254253252252252250251249247249254249247244242242244244244243243243243243243244244244245246245248251248247254255252252252252252250252254252250249246247244245244242240240242240240240239238236239237239238239242241241241241242241240240240240240240240240240240240240245246246247252259257260258259259259257257257256255255256256257256256256257256256255255255255253252251251250250249248249249248248249247248247246246246245244243241241241241240242242244244247250251252254254255253251251251249247247247246246246246244242241242241241240241241240240240240240240240242241243245247249249251250251251251251251250250250249248246247246246245244243242241240240240239239241240240242242243242243244244245244244244243242242242242241240239238237236236238237239240240240241242242242241241242241240241241241241241243244243244245245245246246247247248247247247247247247246245245244243242242242242241242241241239239239239239238238237236236 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999238234236236240238238239241241239240241240238235232231229227228226228228228229229230230230230231231232232232230230229227226229229229229229229227227228226225222217210205205205204206206205206999999999220999999219221226230229230232999234233230231232234234236237236237238239240243249253254999243244243243243243245246247248247246245246244244244245243242999999999999999999999999999999999999999999999999999999999999250249247250999251250250251250251250250248999241242242242243999999999999999999999999999999999999999999999237243248250250251252252254255255255254253253253252253255256257257259260258259260261263265266268268268268271269268270268268267265263263262260261261260260260259260259260260260260261260261260259260259257256255254254254254254255255255255255254252256256253256256257255254255255255256256255256256257257259259260260259259259258258258258259258257257256255254253252254255254253255255256255252251249253252253251251251252253251246246246245244245245243243243243243243244244243244245246249248246245252251254253252253252254251246252251248248248246244244242243243243240245243242244243243243244245244243245245246244242245243244244242241242240241241240240241245247246248255258257258259259259258258257257257257257257257256256256256256256257257255254254253252251251251250250249249249249249249247247247247247246245245242241240242241241242243245247249251252254254255254253252252252250248249247246246246247245243242241241241241241241240239241241241240241242244246248249249250249250252252252252251251250251250249249250249248245245245243242242241240240241241240241242243244243243244246246246246246245243243243243242241239238238238236237237238239240241241242241241241241241241241241241241241242241244244244245245246246246247248248248248248248248248247247246246245244244244244243243242241241240240239239238239237237236 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999240240241242237239240241241239235233231230227226226227229228228229231230231232230231232232232232232231229231230230230231230229228227227226226224221216209208206205205202203207209212218219219220220222222226231231232233233231231231232234236237237237237238239241245251254253249246245245246246247248248248246247246246246244999999999999999999999999999999999999999999999999999999999999999999999249249250252252250999999999999999250250250249999999240241999999999999999999999999999999999999999999999999999244242248251253254254255255255255256256256257256256256256257259259260261260263262265266267268268269270270269271271270268268268267265264262260260260261260259259260259258259260260260261260260260260261260259259258257256256255255255255255256254255254254254254255254255254254255255256257256256257257257257257260261260259255254256255258259260258257255255255255253252253257248251253254256254250251251251253253255250250251250250249247248246245246245244243243243243243243243242243247250248248248248250252254255253252255248253251249247250249249249246246245245246246246246244246245246246246244246246247246246246244246247246245245244243243242243242242241242245247248251257260259257261262260259258259257256257257256255255255255256256256258257256255254254253252252251250249249249248248249249248248248248246247246244245243241242242242242244246249251252255255255254255254254253252251250249247247246246246246244242241242242242241241241242242241241242243244246248247250250252252252253252252253253251251251250248251250251250248247246245243243242242241241241242243244244243243245245246246247247246246245244243244244242240240238238237237238237239240241241241239240240240241241242241241241241242242244245246245246246246247247248249249249250249249249249248248247247246246245244244244243243242242241240240240239238238237 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999240240241243242240240241240241241239237233229227225225226226228231231232232231231230231232233234233231231233232231231232230229229228228227227226225223217213212211209206207211210212214215217217217220221224226228226229229229231232234236238239238239240243244245250254255999252251249249249250250248246246246244244246246244999999999999999999999999999999999999999999244244244999999249247999248250251253251254999999999999999999999250249246999999239241245999999999999999999999999999999999999999251249246244246251254256256256256256256256257257257257257257257258259260260260260262266265266268270272270269271271271269270271271269267266264263262261259261260260259259260260260260259259259260260260260261260259260259259259257257257258258257258257260256255257257257256255255255256254259259258258259257258258259258260260259259257257256255260258258256257257256255255254254253256251254254255256252251252254253254253252252251250249250250250249248247246244244243243242243244244240245247249248249243250248253252255254256254253252253250251250252250250248247248248248247244243243247248246249246245247248248247246247246246247247247247247246247246245244243243244244246248251252258261258259260261261261261260258257256257256255255255255256257258258258256255255254254253251249250250250249248248250249250249249249247246247245245244243242242242243246248251252254256257257256256256255254253252250250249247247247246245244242242242244243242242242242242242243243244246246248249251252252253254254254252253253252252252251250251250250249250248249247244243244244243242242242243243244244245247247246247248247247248246245245245244243242241240239238238238238238240241241240239240240241241242242242242241242243243243244243245247247247247248249249250250250250250249250249248248248248247247246245245244243243243243243241241240239239239 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999238239240241242242237240240242241240237235232231229226225224226229231231233232231230230232233234234233232233233232232232230229229229229229228226225224224220219219214212210215211212212211213219218220223225225225226227228228231232236238239243245246248250252254256257257999254255254253251249249247246245244244245246246245999999999999999999999999999999999999999245246999249999247246246250248251252252251250999999999999999999999999999242242240239241243999999999999999999999999999999999253253253252250250252255255256256255256256256257256258258257258258259259258261261261266265265266268270272272272272271270271270270269269267266265264263262261260261260260259260261260261260260260259259258260259260260260260260259259258258260260261260261261261259260259258256258260257258256261259259259259257259258259255260260260260259258258259259259259259258258258257255256254253255255257257255257253253252254253253255254253253251250250250250250250249248247246245245244242242244243245245247248249249252251253256254255254259257256253255252251249251252249249250249247248247245246248247248246248248247247248248247248249248249249248248248248247247247246246245245247249247251251254259260260260261261260261261260261259256257256256257256257258259258257258256255255254254253253252251251250248249249249249249248248248248247247247246245244243243244245247250252253254256256257257256257255255253253252252249249247246246245245243242242242242243242243243242242243244246245247248251251252252254253254256254254253252252254255252253252251251250250249248247246246245246245244244244245245246247248248248249249249249248247247247246245244243243241240239239239239238238239239239240240241241242241241242242243243244244244244245246247247247247248249250250251250250250250250249249249248248248248247247246246245245244243243242243242242242241 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999237240242241239240241241240240240239238235233231228226225226229230231232231231230230232234234235233233234233234232234231230229231231231229226224226225225225223220217218219217214212213216221223223225227226226226228229230235240242244246248253253255256256257258258256255255256255252248245246247245244244245246246245243999999999999999999999999999999999999999248249246246247245245999999249249250251250999999999999999999999999999999240241239241240247999999999999999999999999999999999254253254253253254255256256255256255255256257257258258259258259259259261260263264264264264269270269272271271272272272273270272271270270267267266265264262262261260260260260261261261261261261261260262261261260259259258258259260259259259260259260261261256255256259256258260261259258259259256257256257257257258258257257254259261261259259258258259257257257259261258257257256257256257255255256252250253254253256254254255252254252251253252251251247249250249248248247245244245244243242245248248250250251251252253253256256258259256254254252255254254253251248251246250250249250248248248249249248247248248248247250249249249250250250251251249249248248247247248249246247249250251253255260259258261262262263263263262261260259258258258258259258258258258258257255254254254253253252252251251249249250249249249250249249248248248247247246246245245244244245248252253254255256256257257257258256255254253253252251249248246246246246244242242242242242242242242243243244245246247248249252252253253255255255255256255254253253255254255254254255253252251250249249249248246247247247247247247247248248249249249250250250250250249249247247246245243243243242240240239239239238238238239240241241241241241241242242243244245245245244246246248247247248249250251251251251251251250250250249249249249248248248247247246247246245245244244244243244244243 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999236240241242244244245243241241240240240237234233229227226226227228228230230229229231232233234234233232234234235235235234233231231231232228227226225226225225223221222223224223218216218221220224226227228229230232234237241244246247252254255257258260259259259259259257258257255252249245244247246245243244244245245999244245244240999241242242242241241999999999242247246243242244999999999250999999999999999999999999999999999999999999999240241241242999999999999999999999999999999999255255255255255255255256256256255256256256256258258258259260260260261261262261264265263266270272274273273272272273272272271271271270271269269269267265264263262262261260259260261260261261261261261262262262262261261260259257258257259261260262261261261255257255259259256261260260257255255256256257257257257256256259254258258258260260259259260258258261257263262258259258259257254256253252255256252251252254254249250254252253250251253253253252251250249250248249249248246246247244245245248249248249250250252254251255256258260257256253255257257255253252251250251250252253251251252251252251247248248247252250250251250251252252252253252252252251250250248248248248248247250251251253254260260262262262265264264264263260260260260260260260259259259259259258257255255254252253252251251250250249249250249249249250249249247247247249247247246245246245245246249252253255255256256257258258257257255255253254252251250248247247247247245244243242242242242242242244244246246248249249250253253253255256255255255254254256256255255256255256254254254254252252251251250250249248249248248248248249250250250250250251251251251251250250249248247246246245244243242240241240240239239238238238239240240241241241242242242243245245245245246247248249248248249251251251252251252251250250250249249249249249248248248247248247246245245245245244244243244244 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999239241242243244240243242243241240239238236234232229226224224227227229230228230231233234233234232235235236236236236235234234233231232230228226226225225225224225227227228228227228228227229230232233233235238241245248252254255255257258259260260261261260260260260259258256253249247999242245244243243243243999999999999999245244243243244243243242242244244243241243243242241999999999999999999999999999999999999999999999999999999999999242245243242249999999999999999999999999999256256256255256256256256256256256256255255258259259260259260260260261262263263263267267266268272274275275273273273273273273270272270271270270270270268266265264263264261259259260260261262261262262261262262261261262262262260260258256261263261262263262257257257258258256259258258257255255255258258259259258258257257258258258259259259258260259260259259261261261263260261262261257256259258252251255253253253254252253254253253254253252253253253251251250251248250249247249250249248247247248248247251251250251252253254257257258259257257254256252255257254255251252251251251252252253253253253251249248251253251252253253253254254253254253253253253252252251250250248248249250250249252253257260262261263263264263263263263261262262261261260260260259260259259259257256255253253252252251251250250249250249249249250250249249248248247248248248247247246246246247250253255255256255255257257257258256256257254254253252250249248248247247246244244243244244244245245247247246247251249250252253254254255256254255255256256256257255256257257257256255256255255254253252252251251250250250250250250250251251251252251252251251251251251251250249248248247246245244243242242241241241241240240239239240240241242242241242242244244245245246247248248247248249250251252252252251251251250250249248248248248248248248248248248247247247246245245245245244244244 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999240240241242241241240240240240238237235233232228227226226226228227229229230232233234233234234235235235235236235233234234233233232231231227227227226226228228228230230232231232232233233233236238240245248252254256256258259258259260261261262262261259260260259259257253249246244999238240241242243243245999999999999999999245246245244243241240243240241242243243241241241999999999999999999999999999999999999999999999999999999999255255255254252250248251999999999999999999257257257256256257257257257257255255255255256258259260260259259260260261262263264266267267268271273274274275275273273273273272271272271271270270270269268267266267265265262261260261262262261260263262261261262261261261261262261260259261259261260263263263261260259258258258259259261256256257259258258260260259258259259259258258260259260260260260259260261261262263263263262264264259258261254258252257256257255253256256254251253254254256254252252253252252251250249250251251251251250250248249250251248252251252252253255257258257254257256257258257255256254255252256255254254254252255254254253253252252252254254255254253254254254253253254254253254253252252251251249250251250251250252255259259262261264264262263263264264262263262262261261260260260261260259259257256255254252253252251250250249249250250251250248249250250249248248248249248249248247247247247250254255255255255256256257257257257258258255254253253251250249249248247246245245245246245245246246247247247249250250252253254254255255255254255255256257257256256258258258258258257258257256256256255254253253252252252252251252252252252252252252252252252252252251251250250250250248248247246245244243243242242242242241241241241241241242242243243244245245246246247248248248248249250251252252252252251251251250250249249249248248248248248248248249248248247247246246246246245245245 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999239241242241238240239237237236238237235232231229227229229229230228228230230230232233233234235235235235234233233231231232232232232232232230228228227226226228230231231233235236236236238239240241245253257257256255257260260261262262263262261260260261261261259258255250246243241240238237239240247247999999999999999999999245245246245999999244243242241241242242241239999999999999999999999999999999999999999999999999999999256256258257257257255253251250999999999999999999256257256254256257257257256254255253255255255256258258258258258259260262262265265264266266268271272274275276275274274274273272272272272270270269269268268267268268266265263260260262262262263261261262261261261260260261260260257260260261261259261262258259260259260259259260259259263263259259259260258259260261261259258258257257258258259260260260259260261264262262264264261259260259260256255255252254253256254258258256254254257256253253254256252253253251251249251252252252252251251251250252250251249251251250253254257254256257256258254255256254251255254255252257255257254255257256255254255255254253254254255256254255254252254254254254254255254253251253253254252251252251250254253255260260262262264263263264263265264262263262263263263262261262261260260259258256256255254253253252250250251251250250250250249250250250249249248248249248249248248248247249251253254255255255255256255256256257257257257256254253253251250249248248247247246247247247247247247248249249250251252253253254254255255256255256256257257257256257258257257258257257257258258257256256255254254254253253253253253253252252253253253254253253252253252251251250250250250249248248247246245244244243243243243243242242243242244244244245246246247247247247248248248250250252252253253253253252251251250250249248248248248248248248248249249248249248248247247246247247247246 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999237238239239236237237236238238238238235233231227228231231233233232230232232232232232233232234235235234234232232231231232232232232232232231231230229229229230231232235239238237238238999999238240247256256257259258259261261263263263263261259260261261261260259257254248244240238238237238240999999999999999999999999999999999999999999999999999243241240240241241999999999999999999999999999999999999999999999999999999999256257257257256257257257256255252999999999999999255257256255256256257257252255254252254253256256256257257257257257257259260263264265265266266268272274275275275275273273273273272272272272272269269269267269269267267266265264261260262262263262260261261261261261260259261260257258260260261263261261258257257260261262260260261257262260259257259258259258258258258260259258257257257256256258258259258261262264265261261263262261260259257261258255256255258254254253254256252255254257252255253254252256253251253253255253253253252252251251250249253251251252251252249251256253254254255254255254252253256254251256252260258258258257257258257256256255256254254254255256254253255254253254255256254254255255253253253254253253252252251251252254256261259262263265265263263263264264263264263263262263262262262262261261261259258256255254252252252252250250251251251251251251250250250250249249248248249249249249249249250251253253254255255255256256256256256257257257256256254253251251249249248248247248248248248248248248249250250251252253253254254254255256255255255256257256256257257257258258258259258259258258258258257255255255254254254254254253253254254253254254254253253253253253252252251251251251251250249248248247247246246246246245245245244245245245245246247247247248248248249248249248250251252253254253253253252252251250249249249248248248248248248248248248248248249249248248248247248248246 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999235238237234236236238238239238237235233230228232235236237236235232235234232232233234233233234234234234231231232232232232233232232232232232232232232231231232234241241240999999999999999999251255258257260260259262263263264265264263261261260262260260260258256253248242239237237244999999999999999999999999999999999999999999999999999999244242238238238239239999999999999999999999999999999999258259257258257999999999256257256257257257257258258257256255256257255256257255256252256255256255257255254253253254254256256256257256257257258259262263264264265265267270272274275276276273272273273273272271272271271270269269267268270268267266265264262261261263262261261262261261262262261259259260260258258259259256262261260258258260262260261261261261262260260260260259258258258258259259258257258258258257259259259259258261264265264264257262260258262257256258259257256253252252254254253256256257252254253252256255256257257256256255255254252253253253251251252252253252252252252252253255257257257256260260258257255257256256256257257259259260259259260260260259258258255254257255257256257256257255256255255256256255256255254254254255254254254253253253252254255259262264265265265265265263265265264263263263262262262263263262261261261261259258256255255254252252251251251252251251251252252250250250250250249249249249249249249250251250252252253254254255255256256256257257257257257256256254253252251250250249248249249249249250250250251251251252253254254255254255255255255256255256257256257257258258258259258258259260259258258257257256256255255255255254255254254254255254255255255254255254254254253253252252252252252252251251250249248248248247247246247247246246246246246247248248249249249250249249249249250252254254254254253253253251251250250249249249249248248248248249249248249248249249249249249248248248248 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999239240232233233236237238238238236234233231233236238237236236236235235235235234233234234234235234234234234233232232231231232231231232232232232232232232233235241244240999999999999999999999256259259259260259260261261261262263264264261261262259259258258255254250244242245999999999999999999999999999999999999999999999999999999999999246245242238235235237239999999999999999999999999999259259260260259259259258999257257256256257257258257258257258258256257258258258257257254255256257257257257256255255254253256256256257257256256258258261262263263263264264267267270274277276276276273274274273272270272271270270270268270269268267266265264265263261260263261263263263263261261260260259258257257258258258259261260259258258259260262261260260260259261261259259260259259259259259260259258258258258258259260258258258262263265260261262266264260263260260260259258258255255254255255254255255255257253255252253257257256255255256255255254255253254253253253252252251254252254249253253254255256257256255254258257256257256258258257258259260261260261261261261260258257258257256257257257257259260260258257257256256256255256255255255255256255254255255255255254253255259262264265266265265265265264265264264263263263263263263263263262262262261259259258259257255253252253253252252252252252253251251251251251250251250249250249249250250251250251252253253254254254255255255256256257257257257256255255254253252251250250250250250250251250251251252253254254254254254254255254255255255255256258258257258258259258259259258259259259259258257257257256256256256256255255255255255256255255255255255255255255254254253253253253252253252252252252251250250249249249249249248248248248248248249249250251251251251250250249250252253254255255254254254253252251251251250250249249249248248249248248249248249250250250249250249249249248 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999236239238237235236237237237236236235234233236238238238240239238238235236236236236235236235235234234235234234233231231231232231231231231232233232232232234239247248246999999999999257257257259260260260260260261262262263263264264263261260257255255254253250247246242246241999999999999999999999999999999999999999999999999999999999999999999245237236237237237237245999999999999999999999259260260260260260259258258259259258258258258259258258258258257256257256258257254254255255256258258257256255254254254255257257256257258258257259260260262263262262265264265268273275276276276276275275272273272269270270269272271270269268266265265265266265263263261260261263262263262260260261258258258258257254254259259260260260259260259260262262261261260260260260258257259257257260261260259260259259256257259258261261261261264259259260263266262263259260259260257259259255253255255256255257257256256258256255254256257257257257257256256255253253254254254253253253252250251254254253254255251252251257256257255256257259258259261260260259258260261260262262261261260260259257257257256258260259260261260259258258261257256256255256255256256255254256256255256254253255256260262265266266266266266266264264264264265264264264263263262262262262262261261259259259258256255254254254253254253253252252253252252251251252252251251250250250250250251251251252252252253253254254254255255255256257257257256256255255254254253252251251251251251251251252252253253254255255254254254255255255254255256256257257257258258260259259259259259259259259258258257257256257257256256256256256256256256256256255255255255255255255254254254254253253253252252252252252252251251251250250250250250249250250251251252251252251251251251251251252254254255255255255254254253252252252251251250250249249248248248248249249249249249250250250250250251250250 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999236239238238236236236235235237235234235239239239240241241242241241238239237236236236236234233234234234234234233233232232232231231232232232233233233236240247249251251255255257257258258259260260260262263263263264265266265265263261260256253252253250246244244242241242243999999999999999248248999999999999999999999999999999999999999999999234233238239239242999999999999999999999260261259259259259260260259259260260259259258258258258259259259259258258257258258256256256255256258258257255253252252255256258257258258259258258259259261261263262262265265267272273277277276277276273273274273270273272272272272271269269267265264264264265264264264260259260261262263263260260262260259257257255256255256258257258260261259258259263262260261260260258258256260260260259258260261260262260258257256260260263262260262259259258260265263261261259260262262260260258254255255255254255256257257256256256257256256257257257256256255255256255254254254253254254252252251251255254255253253254253256256255258259260260260259259261261260260259260263260262262261261260259259259258257257259261261261261260257259258261259258258257257257256255254253254253255255256255258258262263265266265266266266266264266265265265265265264264263262262262262263262261260261259259258258257256255256255253253253253254253253252252253252252251251251250250251251252251252252253253254254254254255255255256257257256256256256255255255254253253253252252252252253254253254254255255255254255255255255255254255256256257257257258258259259259258259259260259259258257259258258257257256256257257257257257256257256256256256255255255255255254254254254253253253253253253252253253252252252251252252252252252253252253252252253252251252251252252253255255255256255255254254253253253252252251251250250250248249248248249249249249250250250250250250250250251 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999238237238239234236235237236239237237239241240238241239241242238244242242239239237237236236236236234234234233234233232232232232232232233234234234234234236238246252254256256256256257258259259260260261262262262265266266266266264263261259254250252251247244243242243243244245249999999999248249999999999999999999999999999999999999999999999249242246251253253999999999999999999258259259258260259260260259259259259260259259260260261261260260260260260260259260258257257257255257258258257255254254255256257257257258259259258259260259261262263262263265265269272274276276276277274274273274274274273272271272271270270267266264264262264263265263262260259259260261262263263260260259259257255256254256258257257259261260259260261260260259261260257259258259259260260261262262262261261260260260265263264264260263260260261261263263265265257258261258261258256257254255257256257256257257256256255255257256255257257258257257256255256255255255254254255254253254256256255255255254255255256259257260260261264263262261262264261261261259263261260263262261260261260259258258259260260260260261260260258259260261261260259258257258257256256253254257254256256256257259261264265265264265266265266266266266266266266265265264263263262262262262262263261262261261259260258259259258258256256255254254254253254253253253253252251252251251251252252252252252253253253254254254255255256257257257256256256256255255254254254254254253253254254254255254255255255256255255255255256256255255255256256257257258259259258259259259260259259259260259259258259258257257257257258258258257257256257257257256256256256255256256255254254254254254253253253253253253253254253254253253253253253254253253254253253253253252252252253254255256256256256255255255254253253253252253252252251251251249249249249249249249249249250250250250251251250251 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999236238237237235237239239240239240241240240240240241242241240239239242241242239240240238238237236235235235235235234233233233234233234234233234234234234235236245250254255254255256256258260262261261262264265265264264264264264263261258258254253250253246247246245245999999249999999999250249250999999999999999999999999999999999999999999248244248253253252254999999999999257257258257258259260259260259259260260262263264263263263262262262263261263261262262258258258258258258259256255254256256259259259258258258258258259259259259260262263262263264266269273275277278277276275275275273273273273271272272271270269266263262261262263264265262260259257258260261260262263262262259259257256257258257257258258258261259258262258261262259261260259257261261262260260260260261261261261260261264264262260259261262260260259260260261262266259260261261259258254254254257257256256256256256256256257256256256254257257258256257256256257256255255255255255254254254255253256254255255256254256257258259260261261262262263262262261258258259261259258262262261260260260261259260258260259260260260260260261260261261261260260258256258257256256254255258256256256257257258261263265264264265266266267267266266268266266266265264264264263263262261262263262263262263261261260261260260260261260257256255254254254254254254253253252252251251251252252252252252253253253253253254255255256256257256256257256255255255255255254254255254254255255255255255256256256256256256256256256256255255255256257257257258259258259259259259260260259260260259259259258258258258258259258259258259258258257257257257257257256256257256256255255255255255254254254254254254254254254254254254254254254254254254254254253253253253253254254255256256256256256257256255254254253253253252252252252251250250250250250249250250249250251251250251251250251251 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999232235241240238238239239239240241241242242242242241243242242240242243242240241240240239239238238237236236236234235234234235235235236235234234234234234234236241247252254253255256256257260262263263264264265266266265266265263263262260258257254247254250251249248249250999999999999999999999249251999999999999999999999999999999999999999999249252254255256257256999999999258258257257257259260261262263264265266267267268268268267266266267264264263265264264261261262259258259258257257256257258259258258257256256257257258259259259262261260263264265266268276274275275276276273274277276276275272272272271270268266263262262262262262264263262260259259259260261263261262262260260259258258257257258258258258262260259258260261264265262261260259261261260261261261260261260260261260261265265265261260258261259260259257260262262262261263261261261259256257254254257255255256254255258258257257257257256255255258257257257255257257256256255255255256255255255255255256256257257258256256257259260262262261262264265263263262261259256257258260259262260260261260262262259258261259260260261261260260261261261261260261258257258257257256256256256256257258258257258260264266265265266267267267267267267267266266266265265264264263262262261261262263263264263262261262261260261261262262260258257255256254254254254254253253253252252252252252253252253253253253253254255255255256256257257257257256256256256255255255255255255255255255255256256256256257256257256256256256256256255255256256256257258259259259260260260259260260260259260260260260259258259259259259260259260259259259258258258258258257257257257256256256256255255255255255255254255254254255255255254255255254254254254254254254254254254254255256256257257257257257257256255255254254254254253253253252252251251251251251251250250250250251251251251251251252252 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999238241241237235237239240238240242236242242241238241241242241241243242242241241238239238239238238238237238238236235236236236236237236236234234234234235235238245250254253254254255255255260262263264264265265266266266267266266264261258255999256250251254255252252253252250999999245246999999249250999999999999999999999999999999999999999252253255256257257256258260259260259259259260263264266266267267267268269269268269269269270269268268269267266263263261263267264261259259259255257257257257257258257257258257258257258258258260260261262264264265267270273273274275276279277276276276274275272273271270269269266264261261262262263262262262260260259259260261260261262259260260260260259259260259260257261258258260260260262265264262261262261262261261257261261260261261262261264263264262259260260259258260259258259260261261260261258261261260259255258257257257256256256256257257257257257257257256256258258258258257256258257257257257257257257257258258258258257258258259259260260261262261262262263264264266264263263262263261261260260260260261261263262262263260260261260261261262261261261261261261261260260259259258258257255257256258258258258258258259261263264265266266267268267267267267266266265265264265264264263263263263262264264264264265263263263261261261262263262262261259256256256255255254254254253253253253253253253253253253253253253254254255255255256256257257257257257257257257256256256256256255255256256256257257257258257257257257258257256256256255256256256257256258258259260260260260259260260260261260260260260260260260260260261260260260260260259259258258258258258258257257256257256256256256255256256255256255255255255255255255255255255255255256256255256256256256256257258258258258258258258257256255255255254253253253253252253252252252252252252251251251251251251252252252252252252252 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999235233237237237237239239239240242241240241240240241241241240241239240241240240239238238237237237236236236237236237237237237237238236236235234235236236239241245250249250252255253251254258263264263264264264266265265265265266266261256260999999249252255255255255252251249245246248248999247247250999999999999999999999999999999999999253255256256256256257258261263264265264265265266266268269270271271271270270269272272273272272271271272272270269269269263266268265261259259259258258258257257257257257257258258258257259258259260260262262265264266269272272274274275278277277277276274275274272272269270269268267265263262262262262262262261261260260260260260261261261259259259262260259259260258259258258258258261257260264266263263262261261261262262261262261261261265263263263264265265262262262263261260258260259261261261262260263258257258258256258257257258256255257257256257257257257257258258259258258258258258257258260259259259259261260261262262260258258259260261258262261261260263263263262263265264264264264262260260260261263262262262264262264263264263262262261261262262262261261261260261260260261261260258258257257257259258258259259259258260263264263265264267267268268268267267266266266266265264265265264263263263264265265265264265264264264264263262263264263263264262259257257256256255255254254255254254254254254254254254254254255255255256256256256256257258258258257258258257257257257257256256256256256258258257258258257258258258258257257256256255256256257256257258259259260260261260260260260260260261260260260260260260260260260261260260260261260259259259258258258258258257257257256256257256256256256256256257257257256256256256257257257258258257258257257257257257257258258258258258258258258257257256256255255254254254254253253254253253253252252252252252252252252252252252252252253253 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999237237237239240240239241241242242241241240240240239236236239239241240239239238238237237236235235236236238238238238238238238237237236235236237235236238241244244247252253252253254258261264264264263264265265265266266264266263259255255254252253253253253255257254252252250250247245247253252999999999999999999999999999999999255257258258257256256260264266266267268268268268268269271272273274274274272274273274274275274274274274274272272271271264269271271266263262260259260260259258257255257258257257258258258257258258260261261264265265267270271273275275277275275275276276276274274272271269268268267266265264263262263262262262261260260260260260260259259259260260261261261259260260260261258258257256256261258262265265264262261262262261262262261257261264263262263263261262261262260261262260260260261260259257257257261256257257257258255255258258258256256257257257257255256257257260259256257258259259260260261261261260260261262264263263264262262262263264264261263260261262263264264264264264264263264263264262263263264262262265264264265265266264262263261261262263263263263262263261262260260261261261260259258257257259259259259260259259262265265264265266267268267268268267265266266266265265265265265264264263264265265266266265266265265264264263263263263264264264263262261258256256256255256255255255255254255255255255255256256256256256257257257257257257258259259259258257257257257257257257257257257258258258258258257258258257257258257257257256255256256256257257257259260260260261260260259260260260260260261260260261261260260260261261261261260260260260259259259259259259258258258257257257257257257257257258258258258258258258258258259259259259259259258258258257257257259259259259259258258258258258257256255255255254254254254254254253253253252252252252252252252252252252253253253253253 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999237238239240242240243243243241239240239239236235235236239240240239239239238237237237236236235236236237237237237238238237237235236236236235237238238238239244250252254254254257262265264265264265264265266267266267269264262261259260255254254252253256258260259259254999999999999254253999999999999999999999999999999999256258259258258259261264266267268269269269270270270271272274275274275275275275274274275275275274275275274273274274273272271269272271268263261263261260259259258257256257257257258257257258260258259262264263265267269270272273274277276276276277275275274273273271270269268268266266266265264265266265264263261260261259260257258258258260260261260261261261260260261258258258258255259258259264265264263262262262262262262262261261260261263263263262261260262260260263259259260260261258257257256257258257257259258255258258256256256256257257258258258258258259258260260261259261261263262262263262263262264264265266265267267263264265266265263263263262263264264264264263263265265261262264263262262262263264265264266265263264265263263261262262263263263263263263263262261259260261262262261260259258259260260260259260260260262265264265266267267267267266264265265267267266266265265264265265264262264266265266265266267267266265263265265265265264265264264264263261258256256256256256256256255255256256256255256257257257256257257257257257257258259259259258258257258257257258258257257258258258258258258258258257258258258258258258257257256256256256256256257259260260261261261260260260260259259260260261260261261260261260261261261260261261261260260260259259259259259258258258258258258258258259259260259260260260260260260260259260260260259259259259259258258258259259259259259259259259258257257256256255255254254254254254254254253253253252252252253253253253253253254253253253253 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999246238240242241241243243242240240239237236235235236240241241241240238239238238238238237236236237238237237238238238237237237237236237236237238238239240244250252252253255259263264264266264264264266267267266267269267266266266263258256254252254259261263262259255999999251254252999999999999999999999999999999999256258259260260261264266268270269269270270271272272272273274274274274275276274274274274273275275275274274275274275275276275273273273273270266267265262261260260258258257257257258258258257260261259260263263264268268270273273275276276276277277277276276274274273271270268268267266267267267265265266267267266265263261260259258259258258259260258259258261260260263258259257257259259261260261264265264264263262261261261260260262262262264263263261262262261263262263264262261260260260259259258257257257256257258257258256258256256257257259258258260259260259260260261262263266265262263264264265262265267268266267267267268268267267267267264263264263264264264264264264265267266266264263266263266263262264265265263265265264265264263262264262262263263264263264263262263262261261261262262261260258259260260260259259260260261262265266267267267266266265267266267267267266266265265265264266265265265265266266267266265268268267265265265265265265265266266265264264262259257257256256256256256256256256257256256257257257258257257258258258258259259259259259259258258257258258258258257258258258258258259259258259259258258259258258258258257257256256256257257257258260261261261261261260260260260259259260260261261260261261261261261261261261262261261261260260260260259259259259259259259259260260260260261261261261261261260260260260260260259259259259259259259258259259259259259259259259259259258257256256256255255254254254254253254253253253253253253253253254254254254254254253254254 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999241239239239240241241241243241238239236237238236238241242241241240240240241241241239239238239238238237238238239239239239238237237237237238239240241242247248250252252258262263264265266265265265265266266266266266267268267267267266261256254260262265266266261258999255251252254999999999999999999999999999999999259261260260262265267269269271273272272272274273274274276275274275275276275274274274273273274274275274274274274274276276276276273275274273272271268266265264263261260260260258258258259258260259259258259264267270271273275275278277276277277277273274275274274272271269267267267267267269269267267267268269269268266263260259260258258258258258255257257258259261259256256255257257259259260261261262262263263262261261261258261261263260262261261262261262262262260262263265263261257255256256256255257257258259256257260258259260258257259260260261261260260260263262263261263263267264266267266269267266269270268266268269269270268267267269265265264263264264264264263266265264263263263263263265264263263263264265264264264264264264264264263264264264265264263263263263263263263261262263263263262261261261261260261261262261262264265268267267267266265266267267266266266267266265265265264266266266266266267267267266266268267267266266266266267266266267266265264264263260259257257256256257257257257257258258258258258258258258258259259259259259260259259259259258258258258258258259258258258259259259259259259259260259259258258258258258258257257257256256257258258260261261261261261260260260260259260260260261262262262261262261262262261261262262262261261260260260260260259259259259259260260261260261261261261262261261261261261260260260260260260259259259259259260260260259260260259259259259258258257256256256255255255255254254253253253253254254254254254254254254254254254254254254 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999234235237238238239241242236239237236237238236237240240240240240241242243243242240238238238239238237237238239238238238238238238238238239241244245248248248251252255262263264265266267265265266266266266265266266267268266268268269267262260261265266267267264259253256252999999999999999999999999999999999999999260260259261265267268270272274276274275275276275276276277275276275276276275274273272272271272274273272272272272272274274275275274275274274274274272272271269268265264263262260260261261261263265258259265265270272273275275275277276276276276277276275274274272271271268268269268269269269270268268268270270268266267264261260259259258258257257255255254254256257255256257256257257259261261261261262263263263262262263259263262266261261263261262261261262261260259260261261261259260256256256257259259259258261260259260260263263263261261259261261262262262263263262266263264264266265267268268269269270268268268269269270269269269268268268266266265264264265266267267267267265264264264264265268268267266266265265265265265265265265265265265265264265264264263264264264264264263262262263263263263262263262261261261261262261263266267267267266266267266265266267267266267267266265266266265265268268268268267269268267267268267266267266265266266266267267266266265264264262261260259258258258258258258259260261261262261261260260259261261261261260260260259259259258258258258259259259260260260260259260260258259260260259259259259258259259258258257257257257257257258260261262262262261261260260259259259260261261261261262262262261262261262261262262262261261261261261260260260260260260260260260260262261262261262261262262261262261261260260260260260260260259259260260260260260260260260260260259259258258257256256255255255255254254254254254253254254254255255254254254254255255254254254 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999234237239240236239240237236236236236237238239240238242242243244245245243241241241239238239238238238239240239239239238238238238240242245245248249250251254261264265266267267266265265264265266266265266266266266268268268268268265265262264265265266265262257254999999999999999999999999999999999999999257259260261264266268270273275277277276278276276277277277277278277273273273274274273274273271272272272272272272272271272273274274275275274274272273273273273274274271268267266266264264263263266265265268267266271273276276277276276276276277276276274276275274272271270269269268270269269270270269268268268268266264263264264262259258259259257257256255255256257255257255255256257257258260259261260261263263263263263261262263263265263262261262262261262260259260260263262263261260260260257256258259260261260263264262265265265265263264264263262262262263264265263264264266268267266267267270269268268269267268267267269270270269268268265267266266265266265266267268268267269266265264266267267268269269268269268267266267266265264265266266266266265264264264263264264265264263263262263263263263262263263263263262261262261262263267266266266266267266266265266266267267266267266266266267267267269269268269271270269265267269267266266266265265267266267267266266266265265264263263263262262260260262262263263264264265264264264263261262262262262262262261260260260260259258259259260260261260261261261260260259260260260259259259259259259259258258258258257257257257259260261261261262262262260259260259261261260261262262261262263263262262262262262263263262261261261261260260260260260261261261262261262262262263263263262262261262261261261260260261260260260260260260261260260261261261261260260260260259259259258257256256255255255255254254254254254254254254254254254255254254255254254254 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999248999999999999999999999999999237238238238239238237236235235235235238238239239244242244245241245243242242242241238240241240241241240240240238238238239238240241243244247250250255258264266266267268268266266266264265267267267265266266269268269268268269269268266266265266267265261260256999999999999999999999999999999999999999257259262265266269271272273275276278278278278276277277278278277275273274273274274272272272270270271271270270271271271270272273271272274274274273273273273272274275275274272269268266264265264266266267270269271273276278276274273276276276277276275276275275274272271270270268268269269269270269268268268268267265263263265265263261259259258258257256257257257256254256255255255258258260261261263262261261263263264264264264264264267263259262262263263263260261260263263263262261260260260259258258261261261262264262265263264264264265265264264263262263264266264265268265268267267268268269269269269270270271269270267270270269270269267266265266267267267268267268268268267268268268270267269269269269269269269268268269268268267267268268267267268266266265264265264263264263263264263261262263262261261261263262261261261260262265267266266266266266266266266266266266266267267266266266267268267268270272271271271269267268269267267267267266266267267267267267266265265266265265265264264264264264264264264264264264264265264265264263264263263263262262262260260260260260260260261260261261261261261261260260260260261260260260259259259259259259259259258258258258258259260261261262263262262261260260260260260260260262262262262263263262262262262263263263263262262261261261261261261261261261262261262262262263262262263262263262262263262261261261261261261260260260260260260261261261261261261261261261261261260260259258257257256256255255255255255254254255255255255254254254255254254254254 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999243999999999999999999999999999999235237236237236236236234234235237239240238240243240244244245244243244245243242240244245246247245244243242241240239239239239241245247250251256260263266266267268268268268266267265264265266269266267268268269269267268268269269269266265267266263261260258999999999999999999999999999999999999999256259263267269272273272273274277277277277277278278278276275274275274273273274273272272271271270270269269269270270270271270270271271272272273273273274273273275275275275273272270268270266266267273268272272273277278277275276276276276276276275275275274273273271270270269269269269267270269268267268267266264263263264265264264261260262261260258257258256255254255256255257257260261262262263263262260263264264264265264268268266264261261264262263261262262261262263262264264263263258260260256261261262262262264265265263264266263265264266265265263263265264267268268267268267270269268269268269270269270271270270271271271271271270268267267267268266268268268269268269269268269269268270270270270269268269268269268269269268268269270270270269268268267267266266266265265264264263264263264265264264264263262261261262261263264267267267267266266265266267267268267267268267267267267268269269270270271272272272271269268268269268268267266266267267269268268268267266265265266266265266265265264265265265264264264265265265265265265264264263264263263262261261260261261261261261261261261261261262261261261261261260260260260260261259259259259259259259259258258258258259261261262262262262262261260260260260260261261262263262263263262262263263262263263263263263263262262262261261261261262262262262262262263262263263263263262262262262262262262262261261261261260260261261261261262261261262262262262262262262262262261260259258258257256255255256255255256255255255255255255255255255255255255 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999247999999999257242999999238239240238239238237235235236236239239240242244243244244245244245246247246246246247250250248247245244244243242241241241241242246249252258263264266267268269268269269268266265265265264266268266267269269270268267268267269269268267266267265262262260258259999999999999999999999999999999999999259261267268268270271271273276277277277278278278277276275275275275274273273273272272271270270270270268268267268269269269269270271272271271272273273274274274274275275276276273274273272271269268271272273274276275277277278276276276275274275275276275274271271271269269269269267268270270268268268268268266264264265265266265262261264261261262261258257258258257258261257259260260260260263263263262263265264264265265265264265265265264263265264261264264262261262261264262266264264260260259257260262262261263264263263263264264265267267266265266267267269267267269269269270270271270269267269269271270270271271271272272270272272271270269268267267268268269270269270270267270270270270270270271272271270270269269269269269270270270270270270270270269268268267267266265265265265265265266265265265265264263262261262262263264266267267267267266267265267267266267267267267267267267268269269270270271272273273272271269268269268268268267267267268268267267267267267267266266266266266266266266265265265265265265265265265266266265265265265265264263263263262261261261262262262262262262262262263261261261262261262261262261261261261260260260259260260260259259258258258259260261262262263262262262261261261261260260261262263263263262262263263262262263263263263263264263262262261261261262262263263263262263263263263263262263263263263262262262262262262261262261261261261261262262261262262262262262263263263263263263263262262261260260258258257257256256256256256256256256256255256256255256255 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999247999999999999235236236243245243241243242238237237238238238239241242244246245245246246248249249249248249250250250249249247246247247248247247245244246250253258264266268268269269269269269268267267266266266265265266267269270269268269268268268268268267266264262263264262259259999999999258257999999999999999999999261264267267268270274275275277277277276277277275274274274274272272274273272272272272271270269270269269267267267267268267268269270270270271271272273273274274274275275276277276276275274274273274274275275277277278278277279276274273274275275274273274272272270271268269268268268269268269268268266266265265264264266265265264263265264266266264263261261259261260260263260261261261263263264263262262263264266265265265265266266266266264266265263264266264264264264263263266265261261262261260260261262261262263264264263264264264266267268268268268269269270270271270270271271271271271272271271269272271271271271271272272272270273271271270269269269269269270269270269270271270270270271271272272272272272271271269270270270271271271271271271270271271270270268267266267265266266264264263264263262263263263262262261262264266267267267266267268267267268267266268268267267267267268269270270271271272273273273273272270269269269268269269269268269267268268267267268267266266267266266266267266265265265265265265265266266266266266266265265265264263263263262262262262263263263263263263262263263262261262262262261261262261261261261261261260261260260260260259259258258259260260261262262263262262261261261261261261261262263264264263263263264264263263263263264263263263263262263262262262262262262263262262262262262262262262263262263262263262262262262262261261261261262262262262262262262263263263263263263264264264264264263262262261260260259258257256256257257257256256256256256256256256256 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999247248245999999999244245247245245245244243241240241240241242243244245245246248245249248248249250249250250250250251250250251251251252253249248250250254256261265268268269268269269269268268267268266266266265265268268269270268266267268267267267266266264263264264264262260260999999999260999999999999999999999260264266267268269273275277277277277277278277275275274275275273275272273273273272272272271269269269268266267267266267268268268268268269270270271271271272273274273275275276276277276277275275275276276278276276277278277278279276275274274274276275274275274273271270270270269268268268269269268267267266265266265265265266267266267267267268267265265264264263263261260261260262263264264265266264263265264263268267268268268266266268267264265267267268264261265263263264263266264265264263261262261261261262263263263263264264265265266266266269268268269270270268270270271271272272271270271272272272273272273273272272271271272273273273272271271270269270270270269269270268268270271271271271272272270270272271271271271271271271272271271269271271271271273271269267267266267266265264265265266264264264263262262262262263265266267267266266267268267265267267267266267268268267267269269270271272273273274274273274272271270270271270269270270269269268268267266266267267267267267267267267267266266265265265265266265265265266266266266266266266265264264263263263263263264263263263263264263263263263263262262261262261261262261261261261261260260260260259260259258259259260260261261262263263262262262261261261261261262262263264263264263263263263263263263263264263263263264262263262263264264263264263263262262262262262262261263262263263263263263263263262262261261261262262263262262262263263263263264263264264264264264264264263263262261261261260259258258257257257257257257257257257257257257 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999249248250246247247248248246246246245243243244242243245245246247248249249249249248249250249249249250251251251252254253253254253254254257256257260261263266268268269268270270271269268267268268266266266267268269270269265267267268267266266265264264263263263263262261260999999261261999999999999999999999261264266267269271273276277277277277278278275275275274275275275274273274273273273271271270269269266268266267267267266266267268268268269269269270270271272272274274275276276278276277276276276276278278279279278278278278276275273273273274275275274275275273272271270270269268269271271270268268267266266266267267266267268266268269269268269268265266266265263262261261261263264263264264266266264267269267266268267270269269266267268266266266266268268262266261263263264264262265263264262263262262261261264264265262264263262264262263267267269269269269270270269270271272272273272270270272273272272273273272273273272271272273273273273272273272271270270270271270269270270270270272271271272271271271272271271272272272272272271272272271271272272272272274273270269267267266267265266266266265265263263263262263263263264266266267267267266267267268267267268269268268268268268268269270271271272274275275274274273273271270271271271270269269270269268268267266267266267267267267267267267267267266265266266266266266266266266267267267267266266264265265264264264264264264264264263264264263263263263263262262262262262262262261262263262261261260260261261260260259259259259259261261262262262262262262261262262261262262263263264264264264262264263263263264264264264264264262263264265265265265264264264263262262262262263261261261262263263263263263263262262262262262261262263263262262262263263264264264264264264264264265264265264264264263262262261260260261260259258257258258258258258258257257 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999247248251247243246248252248243243242242244245246248250249249250251251252251251250251251250251252252251252252254255256255256257258259260260261265267267268268268270270270268267269269268267266268269269268266267268269269267266265266265264265266266265264263263999999999999262261999999999259259261264266267271272272275278279278278277276276276276276276276275275274274273273274273272272270270269268267267267267267266267266265268268267268268270271271272272273274274275277277278277277278277278278279279279278279276278274274274274271275276277274274274271272271270271269270271271269269269270270270269266268267265268268268270270270270271270268267266265264264262262265265263265265266265269267267266268267269270270269266268267266266265269268267266265265264264264264265263262262264262262262262262263262263265262264264263262264264266269270269268270271271268270272272272272272271272272274273273272273273273272272273272273274274273274274274272271270271270270270271271271270271271272270271272273272272272272273273273272272273273272273273272271274274274273270268268268266267266266265265264264263263262263263263265266266266267266266267268268267268268268267268269269269269270271272273273275275276275275275273272271271271271270270270270270269267267267267267267267267268268267267267267266265265265266266266266267267267267267267265267266266265264265265264263264264264264265264263263264264263263262262262261261262262263262262262262260261261260260260259259260260260260261262263263262262262262262262263263263263264264265265265265264265264264264263263265265264264265264264264265264265264264264263263262262261262262262263262263263263263263263262262262262262262262263262262263263263264265265264264264265265265265265265265264263263263262261261261261261259259259258258258258259257258 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999249250246246240246247245249241241241242244248248251252252252251251251249253252252254253251251251251251253253253255256256257258260260261261263265267268268267269269270268268266267268268267265268269270267266267268267265266265265265267268266267267268266266263264263999999999261999999999260263264266267269272274272275278278276277278277273276276277276276275274275275275274274273272270269269269269268268266266266266265265265266268268268268270270271271272273273274275276275276278277277278278278279280278277277276273276277277277277276275275275274274273270271271271271271269269268268269269268269271270268268270271271270270270270270270271268266267267266266266266267266264265265265266265264266269269271266270271270268268268267265267268267267268265265268266266266266263262266264264264263263263263264264264264264266265265265266268269269269267269269268270270271272272272272273273273273273273273273273272272273274273275274274273274275275274273271271269270270270271270271271271271272272272273273273273274274273273273274274274273274274274272274274274273272269268268267267266266265265264264264263262262263265266267267266267267267268269268267267267268268269269269268269271272272273274274275276275276276275273272271272271270269270270270269268269267267267268267267268268268268267266266266266267267267267266267267267267267267266267266266266266265265264265265265265264264264264264264264263263263262262262262261262263263263262263262262262261260260260260260260260261261262262262262262262262262263263263263264264265266265265265264265265264264265265265265265264264264264264265264264264264264263263263262261262262263263263263263264263263263262262262262263263263264263263263263264264264264265265265265265265265266265265264264264263264262263262262262261261260260260260260259259259 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999243246243247246248248247244243242244247250254255256258256256254254255255254255254253252252252252252253255255256257258260261261261262263266268269268269269269268268266265266269270268268267268270270267266266266265265265263266266267268269268268268270268266266265263263262262999999260262266266267270273274274276277277277275277277276274275276277277276275274275276276275275273272271270269269269268267268267266266265266266267267267267269269270270271271272274275274274274276277276277276278278279277277277277274274274277277276277277276273271274273272270271270271271270271270270269268269269268269271271271271272270270270270269269269268267267268269268268267267267267266265265266269266266267271271271266270268268269268270270269264267267264265265268267268267267262264264265263265265265266265266267267266267267268268269267269270270269269269269269269268270270271272272272273273273273273273273273273272272273273275275275276276275275275274275274272270271271271271272271271272272272272272273273274274274273274275275274274274275275275274274274275274274273270268268268266266265264264264262262262263264265267266266267266265267268267268268267267268268266269269269270271272273274274275276275276276276276274273272272272271270269269268269269268268268268268267267267268267268267267267266266266267267267267267268268268268268268268267267267267266267267267266266265266265265264264264264264264264263263263262263263263263263263263263263263262262261260261259260260260260261262261261261262262262263264264264264265265266265265265265265265264266265265265265265265265265265265265264265264264264264264264263262262262263263263264263264264263263263263262262263263263264263263263263263264264264264265265264265266266265266265265265264264264264264264263263262262261262261261261261260260260 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999249247247249249252243242240246246249253256258260259258259257256255254254255254254255255255253253256257257259259260261261262262265266268269269269268270270267265265266268269270269269268266270271270269268267266265267267268268268269270269269270270269269270269267264263999261263265267267267269271274273275277277278277277277276276275276278278277275274276277277277276274273273272271269270268268267268268268266266267267267267266268268268269270271272272273273273275274276277277275275276275275277277277277276277276275275276276276276273271273273272270269270270270270269270271268268268268271270270271271271271270270269269270269271269266268268268268266268267267264266262263267265266270268268271269268270269268268269268270267267266264268267268269268268268265266266265266265265267268267267268269269268268268269270270271272272272271271269269270270270270271271271271272272272273274273273274272273273273274275276276275276275275276275276276275274272272272272272272272272271272272273273274274274274274274275275275276277276276275275275275274275275275274273269269268267267265264263263261262263263265266267267268266267266266267266265268267266267267268267268270272272274274275275276277276276276276275275273272272272271270270270269269268268268269269269268268268269268268268268267266266267267267267267268269268269269269269270269270268268268268268267266267266267266265265264264265264264263263263263263263262263263264264263264263263263262262260261261261260260260261262262262262262262262263264264265265266266266266265265265265265266266265266266266266266266265266265265264264264264264264264264263263263263264263264263263264263263263264263262263263263263264264264263264263265265264264264264265266265266267266266266265265264264264264264264264263263262262262262263262262262262 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999259245245249249249249249248248249252257258262261262260260259258257257256256255256256255255256255257258258260262261261263266267268268267271269267268269268267264265267268268269270270268268269270269271272270270271270271269270268268270270271272272273274274273272269266264266267267268268267269272274277278279279278278278277277276276277278278276276277277277277277277276274273272272270266267268269269268267268267267267267267267268268269269270270271272272273274274275274277277278276276275276275276277273276274276277275276276276276273272273272271270270268269269269269269270269269270270272273271271271271272270270270269270268268269267270268268268268265268262264266263265263266271267267268270270270268266269269266269270268267268268268268268269270269264266266267267267266264265269270271271270271270270271272272272273273273272272272272271270270271271271271271270271271272273273273273273273273273275275275277276276277277277277277277276276276275273272272272272271272272272273273274274274274275275276277277277277278277277275274275275275275274275275274272269269268267266265264265263263263264265267267267268268266267267267268268268267267267268268268269270272274275276276277277277276277277276276275273273273272272271271271270270269270270269269269268269269269269269269268268267267267267267267268268268269269269269270270270270270270270269268268267267267266266266266265265265264264263264264264263263263263264263264265264264263264263262262261261261261260261261262262262262263262262264264265265266267267266265265265265265265266266266266266266266267266266266266266265265264264264264264264263264263264264264264263264264264264264264263263263264264264264264264263263264264265264264264265265265265266267267267267266266266265265265265264264264264263263263263263263263263263 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999252250251245248250252252249250251247249252256258259263265263263263261260259258258259258257256256256256257257258260261262263262264266267268269268268267266266268270268266266267267268269270271271269269270269271273272273273273273273273272269271271272273273274274274272273273271270269269268268267268269272276278280279279279279279278277276276278278278276276278278279276276278277275274273273273270267269269269269269268268268268268267266267268269270271272272272272273274274275277278276277277274274276276276276276273276275276276277276276275275273272271271270270269269269270270269269270270271274272273270270270271271270270271270271270269267267268269267269267267266267266266267269269268271270268268270269269270267269268268272270268268268267267268269269270268268268267267268267268270271269271272272272272272271273272272272273273273273273274274274272272272272271271271271271272272272271272273273273273274275276276276277277277277278278277277277277276277276275273272272271273273273274273274275275275276277278278279279279278276276276276277277276277276275276276273270270268267266265265265265263264265265266267268267268268267267267267268268267267267269269269270271275276277277277277277277276277276276275275273273273272272272271272271270270269269269268268269269269270269269268268268267267266266267267268268269269269270270270271271271270270271270270270269268267268267267266266266265265264264264265264263264264264264264264264264264264264263263262262261261261261261262262262262263262262263264265265265266267267266266265264264265265265266266266266266267267266266266266266266265265265265264264264264264264264264263264264265264264264265264264264264265265264264264264264264264265265265265265265266267266267267267267267267267265266266265265264264264264263263263264264264263263263 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999259254253251250249252255256251248251247246251255259261263264264264263262262262260259260260260258255256256256257258259261263264263264266266266267268268268266265265269270270269270268267269270270271271270271271271273275274275276276277277277275274274272272273273275275273272272272272271269269999268267270269269274278279280279281279280278279277277278279279276277279279279279279279277275275275274273272269271270269269269268268268269268269267268269271270271272272272273273273275275276277278276278277277275276275273273275273274274274275272275275274273272271270269269269269268268269269267272272271272270270270270270269271271271270272268270268267267267269269267269269268269268264265269268268269269268269270269268268269271269270269270269269270268266268269267270269269269269270269270271271271272271273271272270272272273273274274273273271274274274275275274274274273272272272272272273272272273275275274274274274275276276277278277278278278278278278278277277277277277276274272273274274274275275275276276277278279280280280280279277276277278278279278278278277278277276275272270267267267265265264264264264264265267267268268267267267268268268268268269269268268270270271273277277277277277276277277276276276276276275274273273272272272272271271271271270270269269269269269270269269269269268268267267267267268267268269269270270270270271271271271271272272272272272271270269268268267267267266266265265264265264264264264265265265264264265265264264264264263263262262262261261261262262263262263263264264265266265266267268267266266265265265265265265266266266267267267267267267267267267267267266266265265265265264265265265265264265265265265265265265264265265265265265265265264264264264265266266265265266266266266267267267267267267267266266266266266265265265264264264264265264265264264263262 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999254259262258252252254256254253251250251249251251250256259262264265266264264263263263260259260260260259258257257258256257259260261263263264265265265266268267266266265268270269270269269268268269271270271271271271272274275274274275277276277281280279276276276274274274275275274274274273273272271270999267268270269270275279281280280282281280278277277278278279280278279279279279279275279278276277275274275271273272271270269269269269268268270270268270270271270272274274272273274274274276276277278275276276276276279274274274274275274273273275275274274275273272272271269269269267268268270269270271271272271270270271271271271272271271271271270270268267267270271270270268271271270269269267268268269269270269267270271269270271272270271269271267271269270269268269268269269270269269271269271272272272273272272271271272274273275274274272273274274274274274275275275276275274274275274273273274273274274274275274275275276276277278277278279279279279279279279279279278278278277277276276275275276276276277277278278279280280281281280280278277278279279280280279279278276277278276276273271269268267266265264265264263265267268269268268268268268268268267268268269269268269269270272275278278277278277277277276276276276276275275274273273272273273272272271271272272271270270270270270270270269269268268268268267267267267268268269269270270271271272272272272273273273273272273272272271270270269268267267266265266265265265264265264265265265265265265264265265265265264264263263262262262262262262263264264264265265265267267266268269268267267266265265265266266266266267267266267267267267268268267267267267267267266265265265265265265265264265265265265265264264265265265265265265265265265264264264265265265266266266266266266267267267267267267267266266266266266266265265265264265265265265265264264263263 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999254252255259260260256253257259255255253254254254255256255257261262266266266267266264261262262261260261260260260260258258257258260260262263263264264263263265265265266266266268270270270269269267268269271271272273273273274272274271272275274274279281281282282280277276277276276275275275275275275273271271268269270270271273276280278278282281280279278278279280280280280279278279279280280280280280277277277276275273273273273271270270269269269269269272271273271273272272273274274275274274275276274277277279275275276279279276276273274273273272272272271273274273274273271271268268268268268268269270271270272271270271273273274273273273272271270272271268268269270273273270268268268268268270267268268268269271270269269272272270271270270272273272270268273272274272271271269270268269269270270271273273273273273273272274274275274273273275274274273272274273274274275276276276276276275275274273274274274275275275275276275275277277278278279279279280279279280279279279279279278278278277278278278278278278278279279280280281280280280281280279279278279280281281280279279278278278278277276274272269268268267266265265264264266267269269269270269269269268267268269268269269269270270272275277278277277277276276276275276276275275275274274273273273273273272273273272272272272271270270271270270270270270269268268267267267267267268268269269270271271272272272273274273274274274273273273273273273272271270268267267267266266266265265265265266266266266266265265265266265265264264264263263263262263263264264264265266266266268268267266268269269268268267266266265265266266267266266267267267268267268267267267267267267267266266265265265265265264265264265265265265265265265266266266266266265265265265265265266266266266266266266266267267268267268267267267266266266266266266266266266266266266266266266265264264263 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999252253256259256257259261262263265261259260257255257256257260258259262264265267267267264263263261261260261261262261261260259259261262260259262263263263263263262265265266267268270269270270270269267269270272272273274273272272273273272274276277278281281281282283283283282282279277276275275275999275273272999270270269269272274277281279280279279279278279279280280281279281280279280280280280281280280278280278276275274275273272272273272270270270272271273273273273273274274272275275275276277277278279277277279276277278279278274274273271274274273272272274272272271271270273269270270269268268270268268272273272272272273272272272272273273272273273271271272271270274273272273268267268269271270269267268272269272270268268271271272271271270272273274272273273269275275274273272272270271272271271272273273275274272271272274275274274274275275275275273273273273273274275276277276277277277275274275274275274275276275276277277276278278279279280280280280280280281280280280279280280279279279279279279280280280280281281282281281280280281280279279279279280281282280280280279278278278278277277275272270268267267266266265265265266267268270269270270269269269268269268269269269269271272276278278277276277276276275276276275275274274275274273273273273273273273273273273272272273272272272271271271270270269269268268267267267268268268268269270270272272272272273274274274274274274274273273273273274273273272269268267267267266267266267267266267267267267266267266266266266265265265265264264264263264264264264265265266266266268268268268268268268268268268266266265265266266266265267266266267267268267267268267268268268268267267266266266265265265265265265265265265265265266266266266266266266265265265265266266266266266266266267267268268268267267267267267267267267266266266266266266266266266266266265265265264263 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999255999254254251254256255253253254257260262259262260260258260258260259259259259260266266268269270269267265264264262262262262262263262260259262259259258258262263263262263262264266265267269270271270270270271267268269270270270271269269270270271270269271274279281282283284283284284284282284282279277278277999999999275272269271270272271273275277279280281280281280280280277279278278279281281279279279279279278281281281281279274276276275275276275274271274273273274274274274274274273274275275276276277277273274274279279278278279275276278277274272272272272272275274273271274274272271271271271270270270269270272272273273273273274274274272271273273272274275274274274273273273274274273273274268270269269269268269271271270272270269271269271271271272271272273274273273273274274274273274274274274274273273273271273274275274274271272273274274274274274274275275273273273273273273274276277278278278278278277276276276275276276276276277278278278278279279280279280279279280279281280280280280280280280280280280280280280281281281281281282281282280281280279280279280281282281281279280280279279278277278277277276273270270269268266266266266266265267268269269269269269270269269269268269268269269272275278279278277277276276276275275275275274275274274274273273273273273274273273273274273274273272273273272272271271270269269268268268268268268268268269269270270272272274275275276276276276276275275275274275274274274273274272270269269268267268267267268268267267267267267266265266265265265265265265264264264264264264264265266266266267268268268268269269269268269268268267267266266266267266266265266267267267267267267267267268268267268268267267266266266265265265265265265265265266266266267267267266266266266266265266266266266266266267267267268268268268268267267267267267267267266266266266266266267267266266266266266266265264 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999255262250251252999999999256255260260263265265260260261256258258262265261265267266268269268269269267266265264264263263264263261263263263263263263263263263263265264264267267268270271270270271270270269266268268269270269269268269268269269270271273279280284280285285283285285285285284282281281280280274999274275273270273271270272275277279280281282282281282280281280279278278282282281280279280279278278280280281280278277277278277276276276273273272274274275273273273272273273274275276274277277273272272278279278278279278279278276275274273274274274274273274274272273271273271272272271271269272272273273273273273274272272274275273273273272275275274273273274272276275272271273275274269271271271271270268270271270270270269269270269271271271271271270271270269271273273272273274275274273275275273274274274274274273274273274273273274273273274274274273271272272273273274275275277277278279279278278277278278277277278278277278279279279279279280280280280279280278279280280280280280280281281281281281280281282283282281282282281281282281280280279280281281282282281280280280280280280278278278278278276274272270270268268267266266267268268269270269269269269270269269269268269269270271274277279277277276276276276275275275275275275275274274274274273273273273274274274274275275274274274274274273273273271271270269269269268268268268268269269269270271273273273274276277277277277277276275275275274275274273273273273272271270269269269268268268268268268268267268267267266266266265265264265265264264265264265265266266266268270270271271271271270270269268268268268268266266266266266266267266266267267267268267267267268268268268269268268268267266266266265265265266266266266266267267267267267267266266266266266266267267267267267267268268268268268268269267267267267267267266266266267267267267267267267267268267267266265 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999255259260266999268260258259258259261262262265265264268267267269268267266266266265265265265266265265264264264265266267265266267269271270271268270273273272272271271270266267267267268268268267267267268266268270272276281282286286286285285286286284286285283285283280280279273273273271270270269272273274278280281282282282284283281281280279282282282283282282281280278279281281281280280279279279278278277277278274277273276277274274274274274275273273275277277273277272274275276275274275279280279273274274274273275275274275271274275275273272271272271272269271271271272272272273273273273274272272272274276276275275276274273274273274273273273273275273273268271271271269268268271271269270269269270272269272272271272272272272274272273272272274273274274272275276275275275274275275273275274272272273274274272273273273274274273273272273274274275275277278278279279279278279279278279279279279279279280279280280279280280280280279281280280280280281281281281282282282281281282282282283282281282282283281281281279280281282282281282282281280280280280280280279278277278277277276274272271270268268268268268269269269269270269270270269269269269270270271272274278279277278278277277276276276276275275276275275274274274274274274274274274274275274275275275275275275274273273273273272270270269269268268268268268269269269272272273274275275276277277277277277277276275274274274273273273273273273272271271270270270269269268269268269267268267267267267266266266265264265264264265265265266266268267270271271272272272273271270270269268268269268268266266266266267267266267267267266267267267268268268268269269269269269268268267267266266266266266266267267267267267267267267267267266266267267268268268269269269269269269268268269268268269267267267267267267268268268268268268269269268268268268268266 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999254257263265999999999253257261262264262265264268267267269269271271267267269268268268267266268268267266266265267267268268268271273272273273274274274273272273273272267264268267265265266265265265266268266270272275278284285287286287288286286287288288286286285281281280278276273273271270269271272273274278283284282282283283282281282282281282281282283283283282278281281282282281281281281279279281280280278279276275279278275276275275275275274274275275278273273273274274276276276276275276280278274273272270273275276276277276275276276274273275275274275274274274273273272273272274274274275272276275276275276273276276274273273272274271273275275274276273270272270270267269270271272269270269271269273272271269272273274273273273273275274274274271272273275275275276276275276274274274275275275274274275275274274274274272274273273273274275275274276277278278278279279279279280280281280280280281280281281280280280280281280280279280280280280280280281282282282282282282282282283282283283282282282282282282280280282283282282282283282280280281280281280281280279278278278277276276274272271271270269269269269270270269270270270270270270269270271272273274277279279278278277277277277276276276275275275275275274274274274274274274274275275275275275275275275275274274274274274273272271270270270270269269269269270271271272273274275276277277277277277278278278278276275274274274274274274274274273272271271270269270270269268268268267266267267267267267266266265265265265265265266266267267269270271272272273273274274271271270270270269269269269269267267267267267267266266266267267267268268269269269269270270270270269269268268268267266266266267268267267267267268268267267268268268269269269269270270269270270270269269268268268268268268267268267267267268268268268268268268268268268268268268267 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999264266269999262263264257264263267267271271268267270272270272270267270267269269269269268268268268268267269270268270271272273273274275274273273273273274272267265267267265264264264264264266268271273276279283284287286287286287288287288288289284284283280279280278277275274272272274274273273274277278282283280283283284283283282282282282282283283283284279283284282283282282283283279279280280281281277277280279276277276276276275275275276276276274278274273276275276275274277276277279277274271271274272274274277277277277277277274276276275276273275274273274275273273273274274273273274276276275275276277277274275274274275276276272275273273275274273271272272267273272272270269268268271271273273271272272272273273272272275274270273273274275273275275272277277277277273274274275275275275276276275274274274274274275275274275274275276276277277278279278279280280281281282281281281280283282282282281280281281281281280280280281280280281281282282282282283283283283284283283283283283283282282282282282282283282282281282282282281281281280280279280280279279278278278277277275273272272271270270270271270270270270270271270270270271272272274274277279280279279278277277277277276276275275275275275275275275275275275274275275275275275276275276275276275275276275275274274273273271271270271269271270270270271272273274275275276277278278278278278278278278277276276275275275274274274274274273272272271270270270269269268268268268267268267267267267266266266266265266266266267267269271272272272272274274274273273272272271270270270270269269269269268267268268267267267268268268269269269269270270271271271270270270269269269268267267267267267268268268267267268268268268268269270270270270270270270270270269269269269268268268268268268267268268267267267268268268268268269269269269269268268 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999259258262262262264265264267267269269266269270271271271269270270271271270270270269268269269269268271270269270272271272274274275275273274273273273271268264267265264264264263263265267273274280283284285287286287288288288288288288288289285285279278281276278276274275273273272271272273275275277280281281283286284283283283283282283283283284284284284284283282284284283284283282283283283280278281282281279278277277278276276276276276277277276275277275275279276277275274275276277275276275272272273273272275277278277275277277277276277277274276275276277275275275276274274273273272276276276276279277275274275276276278278275275273276276275275275271275275271271273273273270270270271271271270273271272273274274273274275274273273274274274275275274276275276277275277275275276277277277278279277276274278276276277276276276275276277276276277278278278279281281281282281281282281282282282283283282281281281281281280280279279280281281282282282283283282283283283283283284283283283283282281281283282282283282281282281282281281281280280280281280280280279278278278278277276275274274273272272271271271271271271271271271271272273274275277277279279280280280279278278277277276276275275275275275275275275275275275275275275275275275276275276276276276275275276275275274274273272272271271270271271271272272273274275276277277277278278278278278278278278278277276275275275275275275274274274273273272271271270270270270269268268268268267267267267266266267266266266266267268269270271271272272273274274274274275273273272272270271271270270270269269269270269269268268269270270271271271271272272272272272271271270270269269269268267267267268268267268268267267268268269269270270271271271271270270270270270269269269268268268268268268268268268268268268268268268269269269269269269269269268 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999260260262262261261260264266267268270270268268270270273271272271270269269269271269270270270268269269268272271271270272271272274275275274273274274275273271268265265265262262263264266268272278282283285286288286289287287288288288288286286285285281282279278277277276277274273273273272273273275276278280281281284284283283284283282283283282283283284284285283281284284284280284283283282283283281280278279278279278278278277276276276277276277277277277277276275278279276276275275275274276275275274277276277276277276276278278279278278278277275274274273278277275277276273273274273275278277276275276273275275275276276275277277276275274276276275275274275275274272273271270271273271271271269269272272273272272273275274275273274274274274273273275275275276276276277277276276276276278278276278278279277278277279279278278278278278279279279277278277278279280280281282282282282282282282282282283282282281281281281280280279280281281281281282282283283283283283283283283283284283284283282282281282283283283283282281281282282283282281281282281280280280279279279279278278278277276275275274273272273272272272273272272272272272274275276276278279280280279280280278278277277277276276275275275275275275275275275275275275275276276276276276275277277276276276276276276275275274274273273273272272272272273273274274275276277277277278278278278278278278279279278277277276275275275275275275275275273273272271272271271271271270269269269267267268268268268267268268268267267268269269270271272273274275275275275274275275274274273271272272272272271271270270270270270269270270270271272271272272273273272273272272271271271271270269269268267267267267268268268267268268268269270271271271271271271271271270270270270269269268268268268268268268268268268269268268269269269269269269269269270269269 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999262258260259263259260257264267269269269270272269269272272270270269271269270267269269269270270270270270272272271271271272271273275272274274273273272274273271266266263263264265264268269274280284285286286288288287287288288289289288284283287285281281282281281278276278276276273272273274274274272276280280283284287287285284281280280280280282283281284284285285283284283284281281284284283283282283279281280280281280279281278278278277277278278278277277278276273276277274274274275275275275277275277274275277277279281281280279278277274276277277277276278279278277276276273275274277279279278277278276277277277278277276273274273274275276277276276276275273273271271271271272275274274271271271271271272272273273273274274272272272274273274274274274274276275276273277276277278277277278277277278279281278276276278279280280280279280280280280279278278278279280281281281282283283283282283284283284283283281281281280281281280280281281281281281282283283283282283284283283284284283283283282281281283283283282283282281282282283283283282281282281280279279279279278279279278278277277277277277276274274273273273273273274274275276277277278278281281282281278280279278277278277277277276276276276276275275275275276276276276276276276276276276277276277277276277277276277276276275275274273273273273273274274275275276276277277277278278278278278278279279279278278278278277276276276276276276276275274274274273273272272272272271270270269268268269269269268269269269269269268269269271271272272273274275275275275275274273274273273272272272272272272272271271271271271271271271272272272272272273273273273273273272272272272272272270269269268267267267268268268268268268269270270271271271271271272272271271271270270270270269269268268268268269268269268269269269269269269269270269269270270270270 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999259999999260258261256261260265265267270270271268267271273272272271269269269270272269269273271272272274275273273272271270272271269273274273275276274271272268270268262262266267269270271274278283286287288286287287288286284287288288287283283282282282281280278281277277280277273272273275275276274274277280282283286287287287285282282282279282282282281284284281282284284284282284281282285285285282284284283285284282282281282282282279281280279278276275277276275274275276276276276276276275275276274277275278278280278276281280280277277279278276278279280280276278278278279276275275277278278275276275277277278278276276275274274275275274277276276277276276276275272271276274272274272271272272271272272272273273272274274273272274273273272274274273273274275275276276277277277278278275277278280280281281281280279280279280281280280280280280281280278278279279281281282282283284284284284284284285284282282281281281281281281280281281280281281282283283283283283283284283283284283283283283282282284284284283282283283282282283283284283282281281280280280280280279279279279279278278278278278278277276275275275274275275276277278278278279279281282281281281281280279279278278277277277277276276276276276276276276276276276276276276276276277276277277277277277277277277277278277276276275275275275275275276276277277277278277278278278279279279279279280280279279279279279278277276276275276275275275274274273273273272272272272272271270269270270270269270270270270269270270270270270272272272272273274276276275275274274274274274273273273273273272273273273273273272273272273273273272274273273273273274274274274273273273272273273271270269268268268268268268268268269269269270270271271271272272272272272272271271271271270270270270269269269269269269269269269269269270270269270270270270270270270 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999259999999999259261259260264261259263263266268272272267270270269268271271272270269273273274269272272272272273275275276274272269272272269269273273276275269271272270270267260263268270273275276279284278288289287289287287287286286287288288287286286282280284284280279278279280277275275276276276276276276277280280282284286288288287286284282282282282282281283284284284282283283284282283285283286285285285281285283285283284283284284282282282279278278280277277277276278277278275276275276277277277274276276276276276277279280280280278280280279278277280279280279277276279277277277277276275277278277276277275276278278276276278278276277275275274273276275276277276273274273276276274275275274274273272272272272272273273272273273273273274273275274274275275275274275275275277277278277277277278278279280280281282282281281281280281281280280280281281281280279279280279281282282283284284284284284285284284284283281282281281281281280280280280281282282282282282283283283283285283284284285284283281283284283284284284283283282282283283283283283282281281280280280280280279280280280280279278279279279278278277277277277277278278278279279279280281282283282282282281281281280280279278278278278278277277278277277277277277277277277277277277277277277277277278278277278278279279278278278277277277277276277276277278277277277278278278278278279278279279279279279279279279279279279279278277276275275275274274274273273273273273272272272272271271271271272271271272272271272272272271271272272273273274274274275276276275275275275274275275274274273273273273274274274274273273274274273274274273273274274274274274274274274273274273272273273272270269268268268268268268268268269270270270271271271272272272273273272272272272272272271272271271271270270270269270270269270270270270270270270270270270271270270 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999262261264261263262263263263264271269267271271272271268271272272273272273273271273273273273272275274276276275274272273273272273274275275274269268270271270269268271270268271278280283282288289290289288286287286285286287287288287287286284284283283280278279281280280277276275275275275275277278281281281284286287287287286284282282281280282283283283283284283284283282282283282283285280280281280285282284284283282282284283283281281281277280279279280277279278275275277276277277277277274276276273275276279278279280279278280279279276274279277277278276276276278278278276276274278277276275274275275276275276276276278278278277275278277278277277275274273272276276277276275276274275272273271273272272271273273272274273273273273273275274273274274274275275276277278277278276277281281280282282281282282282281281278282280280279281281281280280279280280280282282283284285285285285285285285284284282282282282282282281280281280281282282282283283283283283283283284284284284285284282282285285284285285284283284284283284284284284283283282281281281280280281280280281280280280280280280280280279278279279279280280280281281282283283282282283283283282282282283282281280279280280279279278278278277278278278278278278277277277277277277277277277277278278278278279279279278278278277277277276276277277277277277277277277277278278278278279278279279279279278279279279279279279278277276276275276275275274273273274273272273272272272272272273273273274273272272273272274273273272274275277275275275276275276276276276276276276277276275274276275275274275275275275275275274274274274274274274274274274274275274274274274273273273273272271269269269269268269269269269270271271271271271272272272273273273273273273273272272272272272271272272271271270270270270270270270270270270270270270271270270270 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999260999999999262261261263260263265267266271272269270270268267270268267270271271270273272273270271273272272272272274273272271273273272273275276274274272268271273273269270277278275278285287287289288290291289288286286285285285285286287286286286286284282282282282282281280280278279276277276277277279280282281283286288288288288286286281283283282282283282283281284283285284282280282281282282280280280283283283283283283283283284281282281280280281278280279280280278278278276278277277278278276276276273272275276276278278276275275276278279276277277278278277276280279279279277277279276276276275277276275274273277277277277277276276277278278278277278276276274274274276277278276274276275275275275273273274274273273273272272274272273272273275274274275275274275275276277278278278280281281281281281281282282281282282281280282281280281281281281280280280280281282283283284285286286285286286286286285285284283284283283282282282282282282282282283284283283283284284284285284285285283283283284286284286286286285285285285285285285285284283282283282281281281281281281282282282281280281281281281280280281280280280281281282282283283283283283283283283283282281282282281281280278279279279279278278278277278278277277277277277277277277277277277277278278279279279280280280280279279279278278278278277278278277278278277278278278278278278278278278279278278279279279279278278279279279278277276275276276275275275274274273273273273274274274274274274275275275275275275274276275275275275276276276275276277276276276276276276276276277277276276276276277276276276275275275275275275274275274274274274275274274275275274274274274273273274273271270269269269269269269269270270270271271272272272272272273274274274273274274273272272272272272272272272271271271271271271271270270271270271271271271271271271 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999268266270260999261262263263262267265268266268269270270270271270269268267270272268269270270271272273273271271270269272272273272274271269266270274273274272270273275274273275276277281286288288290290289289290288285284282283283285284283285284286285285284282282282281282280281281280279278278278279279280280281282284288289290288288288286283284284282283280281283283281281283284284283283283282283283285282283285283283283282284283285282282283283282283279279279282281280278279278278278277278277277276276274277277275276278276276275275275275277277277279275276279280280282281281281280279278278277277277276276274274276277277275276277278278277277277277274275275276275279277278278277275276276277276275274275274273273274274273274273275273273275275275275275275275275276277277279280281282281282282282282281281282284284283282281283280283282282281281282282281281283283284284285285286286286286287287286286286285283283283283283283283282282282282282282284283283283284284285284285285283283284284285285285286286286285285286285285285285285285284283282282282281281281281281281281281281280280280280280280281280279280281282283283283283283283283283283283284283282282282282281281280278279279279279278279278278278278278278278277277277278278278278279279280280281281281281281281280280280280279278278278278278278278277278278278278278278279279278278279279278279279279279279279279279280280279278277277277276276276276276276275275275275275275274274275275274275276276276275276277277277277277277277277276277277277277277277276277277276277277277277277277277277277276276276276276275275275275275275275275274275274274274274274274274274274274274273271270270270270269270270270271271271271271272272272272273274274273273274274274273273273273272272272272273273273273273273272272272271272271272272273272272272 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999264263265265265266265263263264264268269269270271271269269269270268270267269270270271269270271268267266269270267268273274274272268266268268271273274275274275273275275279281284287290289289290289289287285284284282282282281283282281281283284284284281281280279281280280280280279278279281281282280279281284285286287289288289287285284284283284282281283284284280283282284284284283283285281281280282285285283282282283284282284282281283282283283283282279281279279279279278277279278277278277276277276276277275277277276276275274274277278278278278281280281281282281282282281283282281280279277277276277276278277277275276277276277278278278276278276275278278277279279279279278275276276277277275275275275274274275274274275275275275275275275276275275276276277277278279279280281281281281281282282281283283283284282282281283281281282282282281281281281281283284284285286286287286287286287286287287286285284283282282283282282282282282282282283283283283283283283284283284283283283284285286285286286286286286287286285286285285286285285284284283282282282282282281281281281280280280280280281282281282283284284284284283284284284284284284283283284283283283283283281281280279279279279279279279278279278278278278278278278278279280280281281281281281281282281282282282281280281280280279279278278278278278278278278278278279279279279279279279279279279279279279279279279279280280280280278278277277276276277277276275275275275275275275275275274275276275276277276277277277278277277277277277278277278278278278278278277277277277277278278277278278277278278277277276276276276275275275275275275275275275275274274274274274275274274275274272271270270270270270270271271271272272272272272272273273274274274274274274275274274274273273273273273274274274273274274273273273273272273274274274273272272 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999268265266266267268268269270268271267270269270270270270269270270272272270270271270273270267267266269269269264265268270274272273269268269269271272272273273273276276277284287288290291290289290289288286284284283282281280281281281282281283283282281281281281280280282281281280280280281282282284280284284285286287287287286288288287284284284283283280282284282280280282283284284283284283282282282282285285284284282284283283283284283282283283283282282280280280279279278278278277277277276277277277276277276275276277276276274275276277276278278279280280284282280280284285283282282281280279277277276278276275276276276277276276276275276277275275277279276276275277276277277276276275275276276276272273275275274274274274274275276274275275276276276274276276275277278278279281281281281281281282283281282283284283282283282283281281281282281281281281281282283284284285286286287287286286287287287287286286285283283283283283282282282283283282282282284283284284283284284283283284284284285287286286286287287287288287286286287287286286286284283283283282282282282281281281281280280281282282283284284284285285285284284284284284284284284284283283283283283283282282282282280279279280280279279279279279279279279279279280280281281281281282282282282281282282282282282282282281281281280279279279279279278279279279279278279279279279279279279279279279279279279279279279279280280280281280280279278278277277277277277277276275275275275275275275275276276277277278277278278277278278277278278278278278279278279279279278279277277278278278277278278278278278278278278277277277276276275275275275275275275275275275275275275275275275275275275273272271271271271271271271271272272273273272272272273273274275275275275275275275275274274274274273274274274274274274274274274274273274274275275274274274273 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999268269268267270264266270272272269269270271272271268270270270270271271272272272272271271266267266264263264265265267269271274275274274276276278278276275277277279280284287289290291290289289289288287286284283283282281280279279281282281282282282280281281280280280281281280281281282282284285286287287287287286289289286287286289287285284282282282280281282281282282282283284284284282283282283282283282282284285282282281282284284280283283282281282283280281282279280279279279278278278278277276275276276276275275275277277276276279280279279279280281283283282280280282283283283284282280279278278278278276275274274276275276276275275277276276276277277277276276277277277277277276276277277276277276276275275274275274273274276277277277277277278277276277278278278279279279280281281281281281283283284281284285283283283283283282282282281281281281281282283284285285285286286286287287287288288288287287286285285283283283283282282282284283282283283283284283284283283283284284284285285285286287287288288288288287288288288288287286287285285284282283283282283282281281281282282283284284284284284285284285285285284284284284284284283283283283283283283283283282283282282281280280280280280280279279279279280280280281282282282282282282282282282283283283283283283283283282282282282281280279280279279279279279279279279279279279279279279279279279279279279279279280280279280280280281281281280280279278277278278277277276275276275275276276276276277277278278278278278278278278279279279279279279280280280280279279279278278279278278279278279278278278279278278278278278278277277276276276276276276276276276276276276276276276276276276275274273272271271271271271271271272272272272272272272273273274275275275275275275275275275275275275275275275274275275275275275275275275275275275275275274274273 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999273272270272270265266271273271270269271272272271271271271271271271270271270271272272271268266265263263263264265267269269272273276277279279278279280280281283284284288288290291289291290289288287285285284283282282282281279280280283282283283283282281280280283283283282284285285286287287288288289288288288288289289289289289289287284283281281282283282283283284282283285283284284283282283284283283283282282283282282281282283283283282282282282282282280280281281281280280279278279279278279278278278276275275276275275276278279278277280281279281281283284282283283283281282283282282281278279279278277274274275275276276274274275277275277277278277276277276277277277277277277276276276276277276276276276276275276276277277275276276277277278277278278278278279278278279280281281281281281281282283283283285285283284283283284283283282282282281282282283284285285286285286287287287287288288289289287287286285285284283283282282283283283283283283283283284283283283283284284284286286286287287288287288288288289288288288289288288287287286285285283283283283283282282281282283283284284284285284285285285285285284284284284284284284283283283283283283283283283283282283282282280280280280280280280280280281281282282282282283283283283283283283283283283283283283284283283283282282282281280280280279280280280279280280280280279280280280279279279279279280280280280280280280281280281280281281280280280279279279279279278276276276275276276276277277278278278278279278278278278278279279279279279279280280281280281280279279278280278279279279279279279280280279279279279279279278277276276276276277277276276276276277277277277276276276276276275274273271271271271271271272272272272273272272272273273274275275275275275276275275276275275275275275275275275275275275276275276275276275275275275275274274 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283277273267269271268267270268268268265270272275272271272272272271272269269271269268271273271271268267262263263264264267268270273275277278280279279279281282284286287286289289290291291291289288286285284285284284283282280281284283281280281281283282281282282282284284285286287288289290290289290288290289289291290291290290290290290287285283285284283283285285285284286284284283282285285284283283285283283283283282282282281281282282283283285283283281282281280284284282282281279277277275280280278278277277276276277276276276277278280282282281278282280284284283285284283280280284281283279278278279279278273273278276275275275274275275276277277277277276277276276276277277278276276276276277277276276276277275276275274275276276275277277278278277277279279279279278280280280281280281281282282283283283284284284283285285285284285283283283283282282283283284285285286286287286287287288289289289289288287286286284283282283283283284283283283283283284283283282282282283284285285286287286288288288288288289289289289289289289288289288288287286285285283283283283283283282283284285285285285285285286286286285285284284284284284285284284284283283283283283283284284284283283281280280281281281280281281281282282282283283283283284283283283283284283284284283283284283283283283282282282281281280280280280280280280280280280280280280280280280280280279279280280280281281281281281281281281281281281281281280280280280280280278277277276277277277278279279279279279279278279279279280281280280279280280280280281281281281280280280279279279279279279280280280280279279279279279279279278277277277277277277277277277277277277278277277276277277276275274273272271271271271271272272272272272272273273273273274275275276276276276276276276276276276276276276276276276276276276276275276275275276275275275275275 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999277274270267267268271269271274269271271271273270274273272269271271269269269267267269271272272270268266265265263263265268273277278280278280282281282283285287287289291292292291292291291288287286285285285284284284285282284284284282281281281281282283284283283284286287287287288290291290291291290292291292292292291292292290291287288286284286283284285283283284286286285284283281283284285283285284284284283284283284282281282282283284282283283282284284284282283283283282278278278279281280280280279277276275280281278277276279281282283282282283282284284284284284284284283282280279281280281280280279279278276274275275274274275275277277276276277277277277278279277278278278277277276278276276276277276275277277278277278276278277278278278280279279279279280281281281281280281282281281282282282283284283284283283284284284285284284284284284283283283284285286286287287287287288289289288289289289287287285286286284283284283283283283283283284284283283282283282283284284285285286287288288288288289289289289290290289289288289289289288288287285284284284283283283284283284285285286286286285285285286286284285285284284284285285285284284284284283283282283284284284283283281280281281281281281282282282283283283283283284283283284284284284284284284284284284284284283283283283282282282281281281280281281281281281281281281281281281280280280281280280280281281281281281281282282282281281281281282281281280281280280280279279278277277278278279279279279280280279279280280281281280280280280280280280281281281281281281281280279279279279280279279280280280280280280279279279278278277277277277277278278278278278278278278278278278277278277276275274274272271272271272272272273272273273273273273274274275276276276276276277277276276276276276276276276276277277277277277276276276276276276276276276275 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999277273271270273273269271268271273273273274274272272272270268269268270270269272270271271272273271269268265264265263265267275277279279279280284284286287288289291292293292293292292291290288287286284285285285284283284283284283284284284281281282286283285285286286286287288288290291292292292291292292291292293293293293290290291289287287286286284286285287284285283286285284283284284285286285285285284284284284283283282283286284283284285283282283285285283283283283284283280279281279279281281280280282282283283281280280280279280281283286283286287284283283285284284283283282281281281280281280281280279277278278277275274273276276277278277278277277277278278279278278278278278276276278277277275277277276278278278278278279279279279279279279280280280281281278281282281280281281281282282282282283284283284285284285285285284285285285285284284284284284285287287288288288289289289290290290290289289288287286286284284284283284283284284283283283283282282282283283284285286287287288288288289289289289289290290290290289289289289289289288288286286285284284283284284285285285286286286286285285285286286285285285285284285285285285284284284284284284284284284284285284283282281281281281281282282283283284284284284284284283284284285284284284285284284284284284284283284283284283283282281281281281281282282282282282282281281281281281281281281281281281282281282282282282282282282282282282282282282282281281281281281280280279277277278279279279279279281280280281281281281281280280280280280280281282282282282282281281280280279279279279279279280280280280280280280280280279279278278277278278278278279278279279279279279278279278278278277276275275273272272272272272272273273273273273274273274275275276276277276277276277277277277277277276276277277277278278277277277277276276277276277276277276 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999277275276276275266269270272273272271273277275275273271270269268268270269272272274271272272274272268267265267266264266269274276279280280281285285288288290291293292293294293292291289289289287286286286286284286285284285285285284283283281999999286286288286288288288289291291292292292292292292292291290292292292293293291291288288287286286286285285285287287285283285284285285285286284287285285286287285284284284284282283283281282283284284284284283283283284284284284284285285282284282282282284284284284283284283282282281281283285287287287286287287287287287285284284283281282282281281281281281281279278278278276276275274277278278278278278278278278279278278278277278279278277278279279278277278278278279279280279280281280279279280281281279281280281280280282282282282281282282282282282282283284284284285285285286286286285286285285284285285284284286287287288288289289290289290290291290289290289288287287285285285284284284284283283283283283283283283283284285286286287288288288288288289289289290290290290290289289289289289289288288287287286286285284284284285285286286286286285285286286286286286285285285285285285285285284284284285284285285284284285284285284282282281282282282282283284284284284284284284284284284284285284284284284284284284284284284284284283283283283283282282282281282282282283283282283282282282282281281282282282282282282282282282282282283283283282282282283282282282282281282281281281281280279278279279280280279280281281281280281281281281281281280280281282282282283282283282282281281281280280280280280280281281281281281281281280280280279279279278278278279279280280280280279279279279279279279278278278277275275273272272272272273273273273273273274274275275276277277277277277277277277277277277277277277277277278278278278278278278277277277277277277277277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295999999285280276278277273275274273273273274271273276278277275273272273270272271272273273275274274273273272271269268266267266265267270274276279281281283286288288290291291294294292293293290290289288286287286285285285285287286285284287287285284287999286291291291291289290291291292292291291291291292292293293291292292291291291293293292290288284285285285283286286287287286283283286285286287287285285285287286285284285285284285284281279282284282283283284284284283283283283283283281281282284283283283283283282281281278281281282283281280281286284286286284286286287286287287285285284281283281281281281281280281279280278277277276277276277278278277278278277279279279279278277277277278278278278279279278279279279279280280280280281279281281280280280281279280279279279280280281282282281281282282282282282283284284283283284286286287287286286286285286285286286286287287288289289289289290291291291290291290290290288288287286285285284285285284283283283283283284283284284285286286287287288288288288289289289290290290290290290289290289290289288288288288288288287287285285285285286286286286285285285286286287287286285285285285286286285285285285285285284284285285285284284284283283282281282282282282283284284285285284284284284284284284285284284284284284285284284284284284284283283284283283283282282282282282282282283282282282282282283283283283283282282283283283283283283283283283283283283283283283282283282282282282282282282282280280280280281280280280281281282281281281281281281281281281282282282283283282282282282282282282281280281281281281282282282281281281281281281280279279279279279279280280281281280280280280280279280280280279279278278277276275273273273273273274274273273274274274275276276277277278278277277277278278278277277278278278278279279278278278278278278278277277277278277278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999282999294279278278277275273273276273273275274273274274274276273273274274272272272272273273274273273272272271270270267267269266266269271274276279281282284286288289290290292294293293293290289289288288286285284286285285287288286285284287286287285288290292293293292291292292290290292293292291291291292293292292293293292293293293292292291290288286285284287287286283286288288288285286285286286286289287287287287285285285284284284283282282283283282283286287285285285284284283282281283283281283284283283285285286283281282282283283284284284284284284286286286286286286286285284285284283283282281281282282280281280279279278278278278278278279279278278279278279279280279279278278278279278278278278278279280280280280280280281282281282283282281281281281281281280280280280281282281281281282281282282282282283283284284284285286286287288287287287287287286286287287287287288289289290290290291291292291291292291290289288288288287286286286286284284284283283283285284284284285286287287287288288288288289289289290290290290290289290289289289289289289290290290289288288287286286286286286286286286285285286286287287286286285285285285285286285285285285285285285285285285285284284284283283282282282282282283283284284285284284284284284284284284284284284284284284284284284284284284284284284284284283283283283283283283283283283283283283284284284284284284284284284284284284284284284284284284284284283283283283283283282282282283282282282281280280280280279280280280281281282281281282282281282281282282283282283283284283282283282282282282282281281281281282282282282282282282282282281281281281280280280280281281281281281281281281281280280280280280279279279278277277275274274274274274274274274274275275275276277277278278279278278278278278278278278278278279279279279279279279279279279279278278278278278278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286288285283283279279276274273272273276276277276274273277277277274273275275275273272273274274274272273272271270270270271269270268269270272274276277280282283286287289289291293293292292292290290288288288285284285285285287288288286288288288288290288289289292293293292293292291291291291290291291291291292292291291292292293292291291292292290290286286284283282285286284286286287287289285287287287287286287288287285286285284285285284283282284283286283282285286286285286284283284284283284283284285284284285285285282281281283283283284285285284285285286285285283284286286284284285284284283280281281282281281281281281280279278278278278277278281280279280280279279281280280280278279278278279280278277279280281281281281281282282281282283284283282282283282281281281281281282280281281281281282281282282282282283283284284284285286287287288288288288287288287287288288288289289289291291291292292292292292291291291289290289289289287287287287286284285284285284285285285285285286286287287287287288288289288288289289290289290290289290290289289289288289290290290289289288288287287286285285286286286286286287287287287287287285285285285285286286285286284286286286286285285285285285284283282282282282282282283283284284284284284284284284284284284284284284285285285285285285285284284284284284284283283283283283283283283283282283283284284284284284284284285284284284285285285284284285285285284285285284284284283284283283282283283283283282282280280280281280280280281282281282281282282282282282283282282283283283283283282283283283283283282282281282282282282283283283283282283282282282282281281281281281282281282281281282282282282281281280280280280280280280279278278277275274274274274274274274275275276277277277278278279279279279279279279279279279279279280280279280279279279279279279278278278278278278278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286284285286284283280281275277274273275276275278277277279279279279278276276276275278274276276274275274272271271273270272272273272271272272273275278279281283283285288290292294294293292292292291290289288286286286285287285287289289289289291289287290292293293292293292292291293293291291290290290291292292291291291291292291293291291291291292291288286284285287286286284289287289289287288287287288287287288287287288286284285285285285284284284284284286286284285288286286286285284285284286285285284285285286286284283285285284284285285287287285286286288287285285285285285285284281284283283283281281282282282282282282281280280279279279277281277280280279279280280280279280279280279280279279280279280280280281280281278280282282281282283284284284284284283283284281282281281279280281280281281279282282283283283283283283284284285286287288288288289288288288289288289289289289290291291292292293293292292293292291290289291290289289287287287286285285285285285285285285285286285286286286287287287288287287288289289289289289289289289289290289289289288289289290290290289288288288287287286287287287287288287287287287287287287286285285285285286286286286287287287286286286286286285285284283282282282283283283283283283284284284284284284284284284284284284284284285285285285285285285285284284284284283283284284284283283283283283283284285285285285285285285285285285285285285285285285285285285285285284284283284284284284283283284283284283283283281281280281281280281281281281282282282282283283283283283284283284284284283282283283283283283283282282282283283283283283283283283283283283282282282282281282282281282282282282282282281281281281281280280280280280280280280279278277275275274274275275275275276277278277278279279279279279279279279279279279279279280280280280279279279279279279279279279279279278278278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285286283282284282281279278273276273274275277278276278278277277277277278278279276277277275277277276272272272271271273271275275274273274275275275277279278280282284287289291293293294294292292292290289288287286286287286285286288288290290290292291999290294293295294294292292293293291290291290289290291292293293291291291293293292293292294292291291289287283282287284287289289285287288288291290289290287288287287288288286284285286286284284284281286285285285285285286285286285283283284285286285285284287287286287285285286282285284286286286286287287287288286285286284284284284284281282282284283282282281282282281282281281281281280281278281281277278279278279278279280280280281280279280280279279280281279280281282280282282282281283282282283284285285285285285284283282283282282282282281282282281282281282283282282284283284284285286287288288289289289289289289289290290290291292291292292293294294294293292293291290290292291289289288288287286286286286285286285285285286285286286286286287287287287288288288289289289289289289289289289289289288288289289289289290289290289289288288288287287288288288288288288288288287287287286285286285286286285285286287287287286286286286286286286284284282283283283283283284283284284284284284284284284284284284284284284284284284284284284285284284284284284284284284284284284283283284284284284284285285285285285285285285285285285285285286285286286285285285284284284284284285284284284283284284284284284283283281281281281281282282282282282282282283282283283284283283283284285285284284283283283284283283283283283283284284283283283283283284283283283283282283282282282282281281282282281281280281280280280280280280280281280280280280279278276275275275275275275276277278278279279279279279280280279280280280280280280280280280280280280279279280280279279279279279279279279279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285283284280278281279273277276273271276278278274276277279277279278278277277278279277277277277278277278277276276275274270271273275276276276277277277278279282283283286288291291292293293292292292291287287287287286285286285285284286287290289291292293999999294294293296295293293293292292291290290289290291291292292291291291294294294291291293292289288288284283287284286288290288287288288289292289289289289290289288286286287285286285286286284284285284286285286286286287284288287284288287288288288287287289288287287286287287287286286286285286287288287288284285287286285285284283281283282283283284283283283283282281281281281279279280280277274278277277277276278279280281280280280279278279280280279280281279281279282282283282282281282282283284284285286285286286285285284284284283283282283282282282282282283283283283283284284285285286287288289289290289290290290290291292292293293292293293293294294294294294293293291290292291289289289288288287287287286286286285285287286286286286286287287288287288288288288288289289289289289289289288288288289289289289289289289289289289289289288288288288288288288288288288288288287287287287285285285286286287286287287287287287287287287287286286285284284284283283284283283284284284284284284284284284284284284284284284284284284284284284284284285284285284284284284284284284284284284284284284285285285285285286286285286286286285285286285286286285285285285285285285285285284285285284284284284284284283282282282281281282282282282282282282282283282283283284283284284284284284285285284284284284283284283283283284283284284284284283283284284284283283283282283283283282282282282281281281281280280280280280280280280280281280280280280279278277276276275276276276277278279279279279279279280280280280280280281281281281281281281281281280280280280280279279279279279279279279279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999279281283281281279276273277278279276275279277275275276277276277277281279278279277278277277277278278278277277274276272273276277277278278277277277279281282282283285287290291292294292293292292292289288286286287286287285285286286287288290290291292293293290291293293295295295293292291290291290291291290290290292293290290291291291294293292290290288287287285284288288288290290288288289291290293291290291292290291290287289287284286285285286286285285286287287286287286287288287289288289289289290289289289289288288289288288289287287287286286286285287287287286285287287287286284283283283283283283284285284284283283282282282282283280279278278278278276274273275278279281281280281281279280280280280281281281281281281282283283284284281282282283284285284284285286286287285288286286285284284284284283283283283284284284284284284285285286286287288288289289290290290291291291292293293293293292293293294294294294293294292291292293292291289289289288287287287286286287287287286287286286287286287288288288288289288289289289288289289289289289288288289289289289289289290290289289289289289288288288288288288288289288288288288288288287287286286286286286286287287287287288288287288288287287286286285284284284284284284284284284284284284284284285284285284284284284284284284284284285284285285285285285285285284284284284284284284284284284285285285285286286286286286286286285285285285286286286286286285286286285286285284285285285285284284284284283283284284282282282282282282282282282282283283283284284284283283284285285284284284284284284284283283283283284284284283283283283283284284284285285284284283284283283283283283282282282281281281281281281281280280280280280281280280280279279278277276276276276277278279280280279279279280279280280281280281281281281281281282282282282281280280280280279279279280280280280279279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283283284282284281277276275276277280278281280277276277279277277279280281280280279278278279278278278277277276276276276276277279279279278277277277281283283283283284286289290292294293293293292290291289286287286286285284285286286287290291290290289292292293293291291293293292292292292291291290289290291291290290292293290290290290291294292292290289287286286285285288288290290285291292291292293291290293291293291288288288284285284285285287286286286284286286287286287287287288289287290288289290290290290289290289289290288290288285287287286286287287285287289289287286286285284284284283283283284284284285284284283284280283282284282281279277276274276277276273276278277280281280279280280281280280281281281279283282282281283282284284283283284285284284285285284285287288286286287287288286285285285284284284284284285284285285285286286286286288288289289289289289290291292292293293293293293293293293294294296295295292293293294291293291290289288288288287287287287286287287286286287287287287288288288288289289289289289289289289289289289289289289289289288289289289289289289290288288289289289288288288288288288288288288288288288288287286286286287286286286288288287288288288288288288287286286285285285285285285284284284284285284284284284284284285285285284285285285285285285285285285285285285285285284284284284284284284284284284284285285286286286286286286286286286286285285286286286286286286285285286286286286286285285285285285284284284284283284283283282282281282281282282282283283283283284284285284284284285284285285285284284284284284284284284284284284284284284284284285285285285285284284284283283283283283283283282282281282282282281281281281281280280280280281280280279279278277277277277277278279279280279279279280280280280281281281281281281281282282282283283282281281280280280280279280280280280280279280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284283282279280279277277278278281281282280279278279280280280280280279280280280280280280278279278278277277276277276277277278279279278276279283283283283284284285288289292293294294293293292290287287287285286285286285285288288288291291291289289291293291290293293293291292291291290292291288288291291291292293293293293293292292293293293290288288286287286286286288289289291291292292293293294293293294294292293293289289287287286287287287285286286285284287287287286287288288289289290290291291291291290289292290289289291290290287288289287288286284284285288286286286286285284284284283283283284283284284284283284283284284283285285282282281279278277277275274279280280282282280280281282282280281281281281282282282282282283282284283284284284285284284285285285285286286285286288287289286285287286286286285285284285285285286286286287286286288288289290290289290290290292293294294295296293294294295295293295294294296293293295294293292290290289289289289288287287286287288287287287287287287287288288288288289289289289289289289290289289289289289289289289289289289290290290290290290289289289289289288288289288288289288288288288288287287287286287287287287288289288288289289289288288288287287286286285285285285285285285285285285285284284284284285285285285285286285285285285285285286285285285285285285285284284284284284284284284285285286286286286286286286286286285285285286285286286286286286286286287286286286286286285285285284285285285284284284284284282282282282282282282282282283283284284285284285284284285285285285285285285285285284284284284284284284284284284284285285285285285285285284284284284283283283283283283282282282282282281281282281281281281281281281281280280280279277277277277278279280280280280280280280280281280281282282282282282282282283283283283282282281280280280280280280281281281280279279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999282284283282279282282277278279279278280280279280281281281280280280279278279279280280281280279279279278279277276277277277278278277277275275277279283285283285287287289292293293294293292293291290288287286286286285285287287287287288290289290291293292291291290295294293292294291292291292291289289287291291292292292292292292292292292291291291287286286286286286288290290290291291293293293293294294294294294293294294291290288288288287288288287286286285285286287288287287290290291291292292290292292291292292292289292288288293291290286286286286286285284291288288286286286285284283283284284284284284284284283284283283284284284284284283283281280279277280278277279282281282283282281283282282281281281281281282282282282281283283284285285285285285285285286285285285286286287287287287289288288288287287287286286286286286286287287287288287287288289289290290290290290290291293295295295295294294294296294295294295294296294294297293292293292291290290290289289288287288288289288288288287288287288288288288289289289290289290290290291290290290290290289289289289289289290290290290290290290289289289289288289289288288288289288288288288288287288287287287287288289289289289289289289290289288288288287286286286286286286286286286285286285285284284284284285285285285286286286285286285286286286286286285284284284285284284284284284284284284285285285286286286286286286286286286286286286286286286286287286286287286286286286286285285285285284285285285285284285284283283283283282282281281282283283284285285284284284285285286285285285285285285284284284284284284284284284283284284285285285285285285285285285285284284284284284284284283283283283283282282281281281281281281281281281281280280279278278278278279279280280281280280280280281281281281282282282282282283283283283284284283282281281280281281281281281281281281280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286284281279278277277278278279278278280280281281281282282281280279280278278279280280279281279281280279280279278278279278279275277276278280283283284285285286288290291292294294293293292292291290288287286287286286284287287285287287287288290290291291290292292295293294293292291291290292290289288288291291291291291291292291291291291290290289289286286286286288287289290291292292290288291292292294294294294294295295294294293291291289289289289290289290288289289289290289291292293292291291291292293291291292289288292292290290288288288287286287287290291290288286285286286285283284285284284285284285285285283284284285284285285284283282283282282280282280276277281282281282283281282281281281284282281282282282282283282282283285283285283285285285285285285285285285286285288288289288289288289287288288288288288287288287287287287288288288289289289290290290290291290290291294295295296297295295294295296298297296294297295294294294296294294292291291291289290289288290289288289290289289289289288289289289289289290290290290290290290290290291291290290290289289290289290289290290290290290290289289289289289288288288288288288288288288288287287287287287288288289290289290290290290290290289289289288288287287286286286285285285285285285285284284284284285285285285286286286285286286286286286286286286285285284285285285284284284284285285285285286286287286286286286286286286286286286286287286287287286287287287286286286286285285285285285285285285285285285284284283283283282282282282282283284284285284284284285284285286286286285285285285285285285285285284285285285284284285285286286286286285286286286285285285285285285284284284284284283283283283281281281281281282282282282281281281280279279280279280280281281281281281281281281282281282282283282282283284284284285285285284284282282282282282282282282282282281281280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284283284283281279275277278279279279279278279280280280281281281281279279280279280280280279279281280282281281281281280277276275275278279279280281285283284284287287289289292292294293293293293291290289287286287285286286287287287287286287287288291291291292293293294295293295295294294291290292290290289288287290290287290291290291290291290290289288285285286288289290290290290290291292290290292291291293293294295295292294296294294293292290291290291288290290291290292292291291292292293292292292292291293292291288289291289289293291290288288288289288288287291291286286286286286285283285286285285285286286285286285286286285285284285283282283282283284284281280280278281283282283282281280280281282281282284282281282282282283285284283283284284284284285283285285285286286285288288288288289290288289288289289290289289288288288289289289288289289290290291290290291290290290290291292294296296296295295296293295297295295297296295297296297295294294293292292292291290290289289290289289290290290290289289290290290290290291291291290291291290291290291292291290290289289290290290290290290290289290290290289289288288288288289288289289288288288288288288287287287288289290291291290290290290290290290290289289288289288288287286286285285285285285285285284284284284285285285286286286286286286286286286286286286285285285285285285284284284284284284285285286286287287286286286286286286286286286286287287287286287286287286285286286285285285285285285285285285284285284284284284283283283283282282283283284285285284284285285285285286286286286286285285285285285285285285284284284284284285285286286286286286286286286285285284285285285286285285285283284283284283282282282282282282282282282281281281280280280281281280281282282282281281282281282282282282283283283283284284285285285285285285285284284284284284284284284283283283282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287284285283282281277277277279279279279279280280281281280281281281280279279280280280279278279280275281281281280278278278277276276279281281281282283283283286285286288289291293293293293293293292291289289285286288286289286287286285286287287289289289291292293294294292292295295294291292293290293291292289291291290289288287290290290290290289289285288288287289288286289288290288290290290288291293292292293293294295292291294296296297294294292291291290287290291292290291292289291294290293293295290292292291289288290292291291289289291291288289288288290287289289287289288288286285285284285286286285285286286286286286287286285285285283286280282283284283283283284283281280281282282281282283283282282281283283283283283283282282283283283283283284284285285285284285287285288288289289288289290289289289289289289290289290290290289289290290290290290291291291290291290291291291290292292294296296295295295295296295297297295299297298297296297294294293293293292293292291290289291289291290290290290290289290290290290290290290290291291291291291291291291291291290290290290290290291291290291291290289290290289290289289289289289288289289289288288288288288288288289289289291291290291291290291291291290290290291290289289289288287286286285285285285285285285284284284285285285285286286286286286286286286286286286285285285285285284284284284284284284285285286286287287286286286287286287287287287287288287286286287287287286286286286286286285285286286284285284284285285285285284284283283283282283283283284285284284285285285285285285286286286285285286285285285285285285285284284284285285285286286286286286286286286286286285286286286286285285285285285285285284283283282282282282283282282281281281281281281282281281281281282282282282282282282282282283284284284284285285285286286286286285285285285285285285285285285285284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285286282282281280281282280280280281280281281281282283283282283283281281280280280281280279280280278279280279280279276278280278278281282281282282282282282282284289288289291292293293293293293292292290286286286288288288288286286286285999286287289291289292294294294296293293295294294291291290290290292291290291291291288288290289289289289289289288288288288288287289286287291291290288290289290291292293293293292294295295296295294297296296294293292291291289290292292293293293292293293293294293293293293291289293293292292292290291288288288290291290290290291291288286286287287286286286286285287287285285286286286286287287286285284283284284282282283284284283283281282281280282282283283283283284282283282283283283284284284283284284284286283286285286285285285284285287288289289291291291290290290289290290290290290290291291291290289290290290290291291291291292293292291291292292292293295296295295297298297297296297298297299298297299296295295294295294294292293292291290289291290291290291290289290290290290290290290290291291291291292292292291291292291291291291290291290290290290291291291290290290290290290290290289289290289290289289289289289288288288289289290290291290290290290291291290291291290291291291291290290289288287286286286285285285285285285285284284285285286286286286286286286286286286286286286285285285285285285285285285285285285286286286287287287287287287287287287287288288287287287287286286286286285285285286285285285286285286285285285284284285284284284284284284283283283283283284284284285284285284285285286286286286286286286286286286285285285285285285285285286286286286286286286286287286286286285286287286286286286286285285285284284283283282282283283282283282282282282282282283282282282282282283282282282283283283283283284285285286286286286286286287286286286286286286286286285285285285285285285284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286286282282281283281282282282283282283282282282282283283283283284283282282282282281282281282282281280281281281280280281281280278279280283283282282281283284284284289289290292292293293292292292291290288287288288288289289287287287286288289287287999289290291293292293295295294295294294290292290290289290291292292291291289288290289288288288286289289288289288289289286287287287288288288291292292291292292292294293293293295294296296294297296295294293292292291292293293293294294295293293293292295293293294290293289289291291289292288290292290292291291290290289289289287287287289288287286287287287287287286285286286286286286286285284284283284283282283285282283283281283281280283280281283284284284284282283283283283285284283283281283283284282283286287285285284285287288288289290291290290290290290291290290290290290290290291291291290290290291291291292292292293292292292292293293293293294296295296297298297297296295297296297297298298297297294295294294294294292292292291290291291291291291291291290290290291290290289289291291292292291291291291291292291292291290290291291291290291291291290290289290290290290290290290290290290289289289289289289289289289289290290290291291290290290291291291291291291292291291291291291290289289288287286286286286285285285285285285285285286286286286286286286286286286286286286285285286285285285285285285285284286286286286287287287287287287287287287288288288288287287287286286286286286286285285286285285285286286286286284285285285284285285285285284284283284284283284284285284285285285285285286286286286286286286286286286285285285285285285286286287287287287287287286286286286287286287287287286286286286287287287286286285285284283283283283283283283283283282283282283282282282282282283283283283283283283283284284285286286286287287286287287287287287287287287287286286286286286286285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999282282999288999284284282282283283283283282283284282281282284284285284284284284283283283283283282281283285283283283281282282281281281281282281280282282282283281283282282284285287289290291292293293292293293292291290289288287287287289289288288290288289287288999999292290292292293293293295294294293292290293292292292291291292293290289290291290290285289288288289289289289289289287287287287288287288288289290292291292291292292293293295295295296296295296296294293292292292291292292293293293294295293292294294294293293290289294291294294290289290290288292291291290290289290290290289288288287286287288288287288286287287287286286286286287286286285284284285285283282283282282283285284283280284283285284285282284283282282282283285286286284283284282286283284283284287286284284286286288288289290289290291290290290290291291290290289289290289290290291291291290291291292293291292292293292292293293293293294295296295296295297296297296297298297298298298298296297295295296295294294294292291292291291291291291291291291291291291291291291291290291292292292292291291292292292292292292291291291292291291291291291291290290289291290290291290290291290291290290290289289289290290290290290290290290290291290290291291291291291291291292292290291291291290290289287287286286286286286285285285285285285285286286286286286286286286286286286286286285285285285285285285285285285286286286286287287287287288287287288287288288288288288288287287286286286286285286286285285285285285286286286286286285285285285286286285285285284284284284285285285285285285285285286286287286286286286287286286286286285286286286286286287287287287287287287287287287287287287287287287287287287287288287288287287286285284284284283283284284284283283283283283283283283283283282283283283283282283284284285285286286287287287287287288288287287288288288287287287287286286286286285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288285286282999284282283284284284284283282284284283283286286286286284284284284284284283283283282283282283282283285282281281281280280281282283282282282283282283282279283285287287290289292293293293292293293290291289290289287287288288290290289290288289999999999999291294294295296296296295295294293291293293292292292291291290292291291291291288287287288289289288290289289289289287289287287289288289288290290292292292293293293293290295294296296296296296296294293293294292293292293293293293295295294294294295296293293291291290294292292291291289289291290291291289293289290290290289288288288288288288288288288287288287287286287286284288289285284285285286286286285285288283284286282280281283286286288286282285284282280282283285286285284283283283285283287287288287288285287289287288289289291291291290291291291291290289290290290290290290290291291292292292292293292293292292292293293293294294294294294296295296296296296297298297298298299299298296296297297296297296296295295294294293292292292292293292291292292293292291292292292292291292292291291291291292292292292293292292292291292291292291291291291291290290291291290290291291291291290291291290290290290290290289290289290290289290290291290290291291291292291292292291291290291292291291290289288287286286286286286286286286286286286286286286286286286286286286286286286286285285285286285285285285285285286286286286287287287288287288288288288288288288288288288288287287287286286286286285285285285285286285286286286286286286286286286286286286285285285285285285285285285285286286286286286286287287287287286287286286286286286286286286286287287287288287288288288287287287287287287287287287287288288287287288288287287287286285285285284284284284284284284284284284283284284284283283283283283283283283284285285285286287287288288287287288288287287287288287287287287287286286286286286286285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999282283283283285285285284282282283283285286285287287287286285285284283283283284282284283283282284284285286283282282282281283281280283284285284282284284283283284284286289291291293293293294293293292291290289289289288288288289289290289290290289999999291291291294293297296296296295295293292292293292292290290292293292291290290291291291291288290290288290290289289290289289290287288288290289289291290291291294293293293294294296295295296296296295294294293293293293293293294292294295294295294295295296294295295292292294294294292291292290290291292292291290290290290290289288288287288288287288288288289287289289288287286286285285285285285285285286286288286286287287287286285284283288287287286286284282282283283283284287285284284285283285285286285286286289288286287291289288289290291291291291291291290290290290290290290290290291291291291291292292292293293293293293293293293295294294294294294295295296296296296297297298298298295296297296297296296296297297296296295294294294295293292292294292292293293293293292293292292293292292292291291291292292292292291293292292292291291292292292292291291291291291291291291291291290291291290290291291291290290290289290290290290290289290291290290291291291291291291291291291291291292292292292291291289288287287287286286286286286286286286286286286287286286286286286286286286286286285285285285285285285286286287287287286287287287287287287288288288288288288288288288288288287286287286286286286286286286286286286286286286286286286286286286286286286286285286285285285285285286286286287287287287287287287287287287287287287286286286286286286286287287288288288288288288288288287287288287287287287288287287288288288288288288288287286286286286285286285285285285285284285284284284284284284284284284283283284284285285286286287287288287287287288288287287287288288288288287287287286286287287286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295999283282283284287286286285283284285287285286287287287288287287286286285285283285285284285282283283285286286285283283283286287287285286285285284286284285286286286286287288291293291293293294293293294290291290290289288289289289290289290290290292999999290290291292293296296296296296296295293291292293292292292293293292292291290291292292292291291290287290290289291289290290288288289288290291288288291291292291292291293294294294294296297295295296295295294293292294294294294292294294295295292296295296296294293295294294293293293292290287290289291292292291291291290290290289288288287287287288288290288289289289288288287287287287287286285285285286286288288286289287288288287285287288289286287288284285285284285285285285287288285285284283287286286288284286288288286291290289289290291292294290290290291291291290290290290289289290290291292291291292292292292293293294294294293294295295295295294296297297298297296296299298298297297295296298298297296296296296297297296295295295295293294293294293292292292293293293293292292293292293292292292291292293293292291292292292291292292292292292292292292292291291291291291291291291291291291291291291291291291291290290290290290290290290291290290290290290290292292290291292291290292292292292292292291290289288287287287287287287287287286287287287287287287287287287287286286286286286286286285286285286286287287287287287287287288288287288288288288288288288287288288288288288287287287286286285286286286286286286286286286286286286286286286286286286287286286286285285286285286287287288288288288288287287287287287287287287287286286286286286286287287287288288288288288288288288288287288287287287287288288288288288288288288288288288288288287287287287287287287286286286285285285285285284284284284284284284284284285285285286286287288287287287288288288288288288288288288288287287287286286287286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296999284286286287286286284287288287287287287288287287288287286286286286286286285285285283283283283288288289287288288287288287288287286290285282285285286286288288287293290292293292295292295294294291289290289288289289290289288290291289290290290999292291292292293294296296296294294296295293292293293293293293293295293294294295292291292291292292291290290290291290289291289291289290290291291290290290290292293293292293294294295296295296294296296296293295293293293294295293295293295296296296296296296296292295296294294294294293293291291291291291292291291290290289290291291290288288289287288290287287289286288290289288287286287286286285286286287288288289289286288288288288286290290291290286285287284285285284284286286286286287286288288288288285289288288288289290290290289290292291293291291292290292291291291290290290289289290291291291292292293292293293293293294294294294295295295295295295297297297297299297298298299298297298297297298298298296296296296296296296296296294294294293293293294293293292293292293293292292292292292292292292291292292292292291292291291291292292292292292292292292291291291291291291291291291291291291291291290291291290291290290290290290290290290290290291291290291291292292291292292292292292292293293293293292292291289288288288288288288287287287287287287287287288287287287287287287287286286286286286286286286287287287288288288288288288288288288288288288288288288289289289289289289288287287287286286287286286286286286286286286286286287286286287287287287287287286286286286285286287287288288288288288288288288288288287287287287287287287287287287287287288288288288288288288288288288288287287287287287288288288288288287288288288288289289289288288288289289289289288288288288287286286286286285285285285284284284284284285285285285286287287287287288288288287287287288288288287287287287286287286287287286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291287285285288288287287287288287287287287288289289288289289286286288286285286285286285284283283285285287287288289289287288289289289288292286285284284285284289288289291292292294294296296291294292291290289289289289290290290290288289289290290999291292292293294294296296295296296296296295293293293292292293293293294295295295295294293293293292293292292292292292290290290290291290290291290290290291292292292292292293293293293296296295296296297296296295296295294293293294293294296296297297296296297296295294294295294294294294293292292291290291291291291292290290291290291291292289290289288291287288289288289289289288288287286287286288287288287288288289289290287287288289287291292290290290285288289288286287286285287286288287289289289290288288288288289289289289290291289289290292293292292291292291290292291291290290290290291291291291291292292293293293293293294294294294294295294294296296296297297297298298299298298299298298298298297297298298297297298297296295296296296296295294294294293293294293293292293293292292292292292292292292292293293292293292292292292292292292292292292292292292292292291291291291291291291291291291291291291291291290291291291290289290290291290291291291291290291291291291291292292292292292292293293293293293292292291290289288288289288288288288288288288288288288288288288287287288287287287287286286287287287287287288288288288288288288288288288288288288288288288288288288289289289289289288288287287287286287287286286286287287287287286287287287287287287287287287286286286286286287287288288288288288288288288288288288288287287287287287287287287288288288288288288288288288288288288288288287287287287287287288288287287288288288289289289289288288288289288289289289289289289288288288287286286286285285284285284284284284284285286285286287287287287288288287287287288288288288288288288287287287287287287286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292290288287287289288287288288288289289288288288288291291290290289289288287284284282283282285282285287288288287287289288287288289289290290290288288286287287290291290292293294295292293295293292292292294293291291290290290290289289291290291291292999292292293293295296297296295295296297296294293292292293293293295294295296296296295296296296296295295294294294293292293292292292292292292291291290290292292292292293293293293295295297298297298298297297297297296295295296293294294295297297298298298298297296297297296295294295294294294293293291291291291291291291290291291291292292292292290290289292287288289289290290290289286288288288288287287287287288289290291291289292292293290292293292290289289286290288289290288287289285289290288289290289286288288287289287289289288289289290292293294293293293292292291290290290291291291290291291292292292293292294293294295295294295295295295295295296296298298297297299299298298299298299299299299299299299300298298298298298297295296297296296295295293294293293293293293292293293293292292293293292293293292293292293292292292292292291291293292292292292293292292291291291292292291292291291291291291291291292291291292290291291290290290291291291291291290291291291291291292291292292292292293293293293294293293293292292291290289289289289290290290290289290289289289289289288288288288288288287287287287287287287287288288288288288288289289289289288288289289289288288288288289289289289289288288287287286286287287287287287286286287287287287286287287287287287287287287286286286287288288288288288288288288288288288288288288287288287288288287288288288288288288288288288288288288288288288288287287287287288287287288288288288289288289289288289289288289289289289289289289289289289289289288287287286286286285285285285285285285286286286286287287287287288288288288288288289288288288288288288287287287287287286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296291288287288288288287287288289289290291291289289292291291291288290289287286286287287286288286287288287287289289289288289288288289290290291291290290290290293294292294294295294292292292292292292293293293293292290290291291290290291292292293292292292292293293295296297296295295295294295296294293293293293294294295296297297296297297297295296294295296295295293293293293293294293293292291291292291291292293293294293292294297295297299297296298297297296296295294295294296296297296297297298298298298298296298297296297294296295294294294292292292291292291290290291291290292293293291294291291293291291290290291291290290290289289289288288287288288288290291290291293292294292294293294293292292292288289289287289290290289289290291289290290288288289285287287287289288289290290290291292293294294294292292291291291290291291291290291291293292293293293294294294295294294293295295295295295297297297298299299299299300299299299300299300300300299300300300300300300299298298296296295295294294295294295295294293293292293294294292292292292293293294294292293292293293292292292291292292292292292293292293293292291291291292292292292292292292291291291291291292292292291291291291290291291291291290290290291291291291291292291291292292292293293294294294293294293293292291291290290289290291291291291291291291291291290289289289289289288288288288288287287287288288288288288288289289289289289289288288289289289289288288289289288289289289289288288287287287287287287287287287287287287288287288287287287287288287287286286286287288289288288288288288288288288288288288288288288288287287288288288288288288288288288288288288288288288288288288288288287288288287288288288288289289289289289289289289289289289289289289289289289289289289289289289289287287287287286286285285285286286286287286287287287287288288288288288288289288288288288288288288287287288287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289288287288287287288289290290291292292292290293292290291290289289288286287288287287287289289290288288288289290291291290289288288289292291291290292292290291293291294296298295293291292292294295293294290292291291291291291291291292293292292292293293293293294295295296296296294295295295295295294294293293295295295297297295298297297297295296296296296295295295295294294294294294293293293293293293294293294294295295294295295295298297299297295295297297297295296295296297296297296296297296299300298298296297297297297298296296294294294294293292293293290290290290292292290293293295292292291293291291289289292292291291291290291291290289288289290289291292290289294295295291293292292294292292291289289289290290291291291292291292290290290290290290288286286288288286291291291292291292292295294293293292291290290291291292291290292292293293293293294294295295295295294295295295295295297297297298299299300299298300300300300300300300301301300300300301301300299299299299298296295295294295296296293295295295294294293295294293293293293293294294294295294293293293293293292292292292292292293292293293292292292291291292292292292291291291292292292292292292292292291292291291291291291292291290291291291291292292292293292291292292293293293294294294294294294293293292292291290290291291291291291292291291292291291291290290289289288288288288288287288288288288288289288289289289289289289289289289289289288288288288288288289289289289289289288288288288287288287288288288288288288288288288288288287287287287287287286287288289288288288288288288288288287288288288288288288288288288288289289288288289289288288289289289289289289288288289288288288288288287288288288288288289289289289289289289289289288288288289288288288288289289289289289289288287287287287286286285285286286286286287287287288288287288288288288288289288289288288288288288288288288287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287288288288287287288289290290292292292291291292293292292292292290290289287286288288290290291291290290289289290291291291291291291291291293293293293293294293293292293293294294295293291292292294294293292292291292291291292292292291292293292291291292294293293293296297298297296295295295294295294294295294295294295296297297297297295298298298297296296295295296296296295294294294295295294294294295295295295295296296295295295296298299297298298297296297297297297296295297297298297299297297297298299299297297298298298298298298296295294293294293293294291293291290292293293292293293295292292292290290291289292292292292292292292291290290289288290290289291292291290290292293292293292291292293291290290289290288289290292292291291290290292293291292292292289288288291290293292293293293293295293293294293293291291290291291291291291292292293293293294294294294295295295294295295295295296295297297298299298298298297299299300300301300301301301300300300300300300300299298299298296295295294295297297296295294295295294294293294294293293293293294295295295295293293293293293293292293292293293293292292293293292291292292292292292293293292292292292292293292293293292293292292292292291292292291292291292291292293292293293293293293293294293293294294294294294294294294293292292292291291291292292292293292293292292292292292291290289289288288288288288288288288288289289289289289289289289288289289288288288288288287287288288288288289289289289288288288288287287288288288288288288288288288288288288288288288287287287288288289289289288288289289288288288288288288289288288288288289290289289289289289289289288289289289289289289289289289289289288288288288288288288289288288288289289289289289288288289289289288288288288288288288289289289289289288288287287287287287286286286286286286287287287288288288288288289289288288288288288288288288288288287288287288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287286288288287287288290291291291292292290291289291292293291292293289288290289292290291291290289290291291291292292292291291292292292292293294294294294293294294295296293293292292292292293293293293292293291291291292291292293291292291294293292293291292293294296296297296297296296296296295296295295295295295295296296296297297298298298298298298298297297297296297296295296296296296296296297295296296297296297296295295295295296298299299299298297297297297297297296296296298298298298299298298299299299298298299299296297298297296296295294294294294294294292293293294292292292292293293293293292291291292292292292292293293293292292292290289289290290290291293290292293290293291292292292292292291291290290289289289290290293292291293292290292292290289291291291290292292290294292292293294294292293294292293292291291291291291291291292293293294293294294294295295295295295295295295296297298297299298301300300298298298298300300300300300300299300300300300299299300299299298298296295294294295295296293293295296296295294295295295294294293294295295295295294294294294294293293293293293293293293292293292292292292291292292291293293293292292293292293293293293293293293293293292293293293292292293292292293294292293293293293293293294294293294294295294294294294294294293293293293292292292292292292292293293293293292292292291290290289288288287287287287288288288289289289289289289289289288288288288287288288288287287288288288288289289290290289289288288288288288288288288289289288288288289288288288288288288287288289290290290290289288289288288287288288289288288288288288289289290289289289289289288289289289289289289289289289289289288289288289288288288288289289289289289289289289289289289289289288288288288288288288288288288288289289289289288288287287287287286286286286286286287287287287288287288288289288288288288288288288288289288288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289288289288287287289290291292291291292291291289293292291290291290292290289289291292291294291290290290290290291292293293293293293293293294295295295294295295296296295296295293293293292295293293293292291290291292292291292294292292292292293291294294293295295297296297296296298299298297297296295296296295296295296296296297297297298297298298299298299297298298298297297296296296296296296296297298297297297296296296296296295295297297298298300299298298298296297297297296298296298298299299298299301299299300298299299298298298298297296297296295295294294293293294294294294293293291294293291290292292292293293292292293294293292290291292291289290291289290291292292291291291292291291293293293293292290290290290290290291288292292293293292289292293290293293291291291291291291295293293293294294293293294293293292292292292291291291292292293294294294294294295295295296296296296296296296297299299299300300299299298298298298298299300300300298299299299299300300299299298298298298297296294294295295297295294296297296296295295294294294293294294295295295296295295295294294294294294293294294293294293293293293293293292292292293292293293293292293293293294293292293293293292293292293293292292292293293293293294294293294294293293294293294294294294294294294294293293293293293293293293293293292293293293293293293293293292292292291291290289288288288287288288289289289289289289290290289289289289289288288288288288288287288288288288289290290290290289289288288288288288288289289288288288288289288288288288288288288288289290290290290289289289288288288288288289288288288288289290290290290290290289289289289290289289289289289289289289288289289289289288289289289289289289289289289289289289289289289288288287287287287287287287287288288288289289289288288287288287287286286286286286286287287287287287287287288288288288288288288288288288289288288288289288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291288999285286289289292292291291292293291291292290291292291290291291291290290291292294292292291290291291291291292293294293293294293293295294295294294295296295296295295294293292293293294294294293291290291290290293293292293292292293293295294294295296296297298298298294297298298298298297296295296296296296296296297296296297297297298298298298298298298299299298298297298297297296296295296297296296296297297297296296296296296297297297296296300300300299297298298297296297298298298298300299299300301299299299299297300297297297296297298296298298299294295296296296296294293292295294294293291293293292293293294292293293294292291291291291292291291292292293292292292292292293292291293293293293293292292292291291291292293292292290292292292294292294295294291291291292291292293293295294294294293294294293292293292291291292291291292293293294294294294294296296296297296296296296296297299299299300300299298298299298298298298299299299299298299299299299299299299298298298297297296296295295294295298297295296296296296295294294295294294294294295295295295295295295295294294294294294294294294294294294293293293293293293293293293293293293293294293292292292293294294294294293293293293293293294295295295294294294294294294294294294294294295295295294294294294294294294294294294294294294293293293293293293293293293293293293292292292291290289289288288288289289290290290290290290291290290289289289288289288288288288288288288288288290290290290290290289289288288288288289289288289289289289289289289289288288288289290290290290290290290289289289288289289289289289288289289289290290290290290290289289289289289289289289289289289289289289289289289289289289289289289289289289289289289288288289289288287287287287287287287287287287287288288288289288288288287287287287286286286286286286287287287287287287288288288289288288288288289288289289289289289289289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295295296999291999286289290292291293292293292292291293292290290291290292292293292290290292292293294294292291292291292292292292294294295295295295294295294295294295295295296296295294294293293293294295293292291291290291292290291291292292293293294297297297298295296295297299300298297297299299297298297297297297297296297296297297297297298299298299299299299298298298299299298298296298298298297297298297297296296297296297297298297296296297298298298299300300301299297297297297297297298298298298298299299299298298299299299298298300298298297296299297296299299299296299295298296296294295294294293293293294293292293293293295292292293292291291291292292291290292291292292292291291291292292292293293292292292292293293293292292292292293292293293294293293292295295294293292291291292293291291293295295296295293294292293292292293292292292292293293293293294295296296296296298297297297297297297297298299298298299299298298298297297297297298298298298298298297298298299299299298297296296296295295295295295297297295295296296296296296295295294294294294295296296296296296296296296295295295295295295295294294294294294294294294293294295295294294294294295294294294294295294294295295294294295295295295295296296296294294294295294294294293294294295295294295295294294294294293293293293294294294294294293293293293293293293293293293293293292292292292291291290289288289289290290291291291291291291291291291290290289288289289288288288288288288289290290291291290290289289289289288289289289289289289289289289289289288288288289290290290290290290290290290290289289289288289289288288289289289289290291290290290289289289289289289289289289289289289289289289289289289288289289289289288288288289289288288288288288288287287287287287287287287287287287288288288288288288288287287287287286286286286287287287287287288288288289289289289289289289288288288289289289289289289289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296294292288288287288290290292292292294292293293291291290290290291291291293294293291288293294294294293293293292292291291292293295295296295295295295295295295295295295295296296295294294293294295295295294291290291293293292290291291291292293293294296297298298298298298298298298299297297298299298298297297297297297298298297297298298298298299299299299299299299300299299300298296298297298298298299298297298297296298296295297297297297297297299298299300300301301301298298297297299298299299301298299298299299300299299298299298298299298298299299299300300300300300297299298300297298296294295296295293294294292292293294294294294294293293293293292293292292293292292292292293293292292292292294293293292292292293294294294294291295292293294293296294294294295295295295295291290290290292291290293295295295295295295294294293293293293293294294294295295295295296296297296298297297297298298297297297298298298299300300299297298298298298298298298299298298298298298298299298298298297296296296297296295296297296296296296296295295295296296295293295295294295296297297297296296296296296296295296296296296296295294295296295295295295295296296295295295296296295295295296295295295295295296296295296296296296296296296295295295295295295294295295295294294293294295294294294294294293293294294294294294293293293293293293293293293293293293293292292293292292291291290290290290291291291291291291291291291291291291291290289289289288288288288288288289290291291290290290289289289289288289289289289289289289289289289289288288289290290290290290290290290290290290289289289289288289288288289289290290290290291290290289289289290290289290289289289289289289289289289289289289289289289289288288289289289289288288289288288287287287287288287287287287288288288288288288288288288287287287287287286286287287287287287288288288288289288289289288288288288288288289288289288288289288289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296293999999291290287287288288290291293291293292292294292292292291290286290290999290292293291290293295294293294295294292291293292293295296295296294295295295295295295295295295295295296295294293293293294295293292291291291291290291291291292291292293294295297298298299299299298298299299300298297297299299298297296297297297298297298297297297297297299299299299299299300300300299300299299299298299298299298297298298297299297296297298298297297298297298299300300299299300300300300299299300300300298298299300299298300300299300298299298299299298299299300298300300301301301299300299299297296296294296297295297293293293294294294294295295292292292293293292292292294293292292292293294294293294294297294296293294293294295295295295292292293295295295294296297295294295296296294295293291291289293293294293295295293295295294293292292293292294294296295295294296295296296297297297297297297298298298297297298298299298298299299299298298298298298298298298298298298298299299298298299298298297297297297296296297296298296295295294295295295295295296295295294294294295295296297297297297297297297297297296297297296296295296297297296296296296297297296296295295294295296296295296296297296296295295296296296296296296296296295295295295294293294296296296296295295293294295294294294294294294293294294294294294293293293293293293293293293293293293293293293292292292291291291290290290291291291291291291291291291291291291291290289289289288289288288288289290290291291290290290290289289289288289289289289289289289288288288289288289290290290290290290290290291290290290290289289289289289289289289289290290290290291290290290290290290290290291290290290290290289290290289289289289289290289290289289289289289289289289288288287287287287287287287287287287287287287288288288288288287287287287287287287287287287288288288288288288288289289289289288288288288289289289289289288289289288289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291291289289289288289288289289290290291291293292291290291291292292291287999999999999999999288290291294294294295295293291294295295294295295295296295295295295295295295295295296296296297296296294296294293293293292291291290290290290290290293292293293295296296298300300299297297298299299300299297297298299298297297297297298297297296297298297297298299298299299299300300300301301300300300300300298298300299299297298300298298298299298298297298298297298299300299299299301300301300300300299299299298300300298299300302300301299297299299298299300299298300302300300300300301300301300299298297297298296296296295295294293293294295295296295293294294293292293294293294293293293294293292293295295298297296295295294294295296295295294295295295295294295295297297296296296297296297298294292292293293293294295296296296295295295295295294294294294294294294294295296297297297298297297298298298299299299298299299299297298298298298297297297297297298297297297298298299299299298298298299299299298298298297296296295296296297295296296296297295295296296295295294294294294295296297297298298298297297297297297297297297297296297298297296296296297297297296296296296297295296297296296297296297296296295296297297297297296296295295296296296295296295295295295295295294295294294294294293294293293293294294293293293292293293293293293293293293293293293293292292292292292291292291291290291291291291291291291291291291291291290291290290289289289289289289289289290291291291290290290290290290289289289289289289289289288288288288289289290290291291290290290290291291291291291291290290289289290289290290290290291291291291291291291291291290291291291290290290290290289289289290289289289289289290290290289288289289288288288287287287287287287286286287287287287287287288288288288288288287287287287287287287287288288288287288287287288288289289289289289289289289288289288288289289289288288289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294285286287287287288289289290290291292293292292290290290291292294999999999999999999999999286289293295297295295295294293296296296296296295294295295296295295296296296297297297298297297296296293294295295295294292291291292290290290290291291291292293294295299300299301300299298299298298300299298296298298298298297297297298297297296297298298298298298298298299299299299300298300300301301301300300301300300300300300299300299300299298299298298299299299298298300301301301301301301300300300300300300301300299299300300298298298299298299299299299300301303301302301301301300301301301301299300300300297297297297296295295295295296296296295296295294294295294296294294294293292292294294294295294295298296295296295295295294294295293294296297297296297297298298298299298298297296296295293292293293294294294296297297296296295295296295294294294295294295296296297297298298298298298298298299298299299300299298299297296296297298298298299298297298298298298299299299299298298299299299298297299298297297297296295295295298295295296296297296295296296295294294295294295296295296297298298298297297297297297297297297297297297297296297297297298297297297298297297295297297297297297296297296296297297297297297297296296297296297297297296295295296295295294294293294294294294294293293293293293293293293293293293293293294294293293293293293293293293292293293292292292292292291291291291290291291291291291291291291291291291291291290290289289289289289289290291291291291291290290290290290290289289289289289289289290289289289290290291291291291291290291291291292291291291291291291290290290290290290290290290291291291291291291291290290290291291291290290290290290289289289290290290290289290290290289289289288288288288287287287287287287286287287287287287287287287288287288288287287287287287287287287288288288288288287287288288288288289289289289289289289288289289289289289289289289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290284286287287288289290290291291292292293291289289290290291293999999999999999999999999999289291294296296296296296296297298296296296296296296295295296296296297297297296297298298297297296295291293295295294293292291292291291290290290291291291293293293295296298300300300299298298297298299298297296300298298298298298297297297298297298297298298299298298298298299299298299300299301302300301300301300300300300299301301299300300300299300300300300300299299299300300300301301301302302300300300300298300299299300298298298298298300300300301301300301301301301302301302301301301302301301301301301299299298298300298298298298298297297297295295294294294296295294294294293295292293293295294296297297297296296295297297295295295295297298298298299298299299299300300299298300296296294294294292293294294294295295296296297297297296296296295294294294294295297297297298298298298298298298298298298298299299299298298299297297296297297299298298298298298298299299300299299298298299299300297297297298298298297296295295295295296296295296297296296296296296295295295295295295296296297297297297298298297297297297297297297297297297297297298298297297298298298298295296297297296298297297296296298295296297297297296297297297297297297297296295296295294294294293294295294294294293293294293293293293293293293293293294294294294294294294294293293293293293293293292292292292292292291291291291291291291291291291291291292291291291291290290290290290290290290291291291292292291291291290291290290290289289289289289289289289289290290291291291290290290290291291291292292291292291291291291291291290290290290290290290291291291291291291291290291291291291291291290290290289289289290290290290290290290290290289289288288287287287287287287287287287287287287287287287287288288288288288288288287287287287287287287288288288288288287288288288288289289290290290290289289289289289290290290289290289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294290287287287287289290290291291291291291292294291290292290289288292295999999999999999999999999287288291293294296297298298298298298298297296297297297296297296297297298298297298297298297297297296295293295295295294293291291291292291291290293293294294294293293294295298299301299299300300297297298298297297299298299298298298298298298299298298298298299299297299300299300299299298301301302302301300301300301301301300300300300301300301301300299301300299300298299300301301300301300302301302300300300299299299298300299298298298299301300300299301300301301301301303302303303302302302303302301301300300299300300299300300298297297297295295295295295295294295295294293295294294293294294296294296295296297295296296296297296295296297299299298299299299299299298300301299299298297297296296295295294293294295295296295297297297297297297295296295296294295296296297298298298299299299299298299298298298299299299298299299300299299298298298299299297298298298299299300300300300299300300299300301299299298298297297297295295296295297297296297297297297296295296296295295295295295296296296297296297297297296296297297297298297297298298297298297297297298298298298297296297297297298298297297297297297296297298297298298298298298297297297297296296296295295295295295294294294294294294294294294293294294294294294294294295295295295295294294294294294294293293293293292292292292292292291291291291291291291291291291291292292291292291291291290290290290290290291291292291292291292291291291291291290290289289289289289289289289289290291291291291291290291291291291292292292292292292292291291291291291290290290290290290291291291291291291291290291291291291291291290290289289290290289290290290290290290289290289289288288287287287287287287287287287287287287287287288287288288288288288287288287287287287287287287287288288288287287288288288288289289290290290290290289289289289289290290290290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289288289290290291291291291290291290291294294293293293292289290291999999999999999999999999999285287290295298298299300300300299299298298297297298298298298297298298298297297297297296295297298297293999999293294294293292290290291291291293292294294293293295294294295297299300300298299299297300300299297297298298299299299298298298298298298298298297298298299300298300300300301300302301302301299302301301301301300301300302301302302302300301301300300299300300301300301301301301301301302301302300299299299298300301300298298299299300299300300301301301300302302304303303304303304303303303302301300300300301299299298298299299298297296296295295295296296296295295294294295296293295295296298296296294295296296297296298298299298298300300300299299300300299299300301299298298298298297297296295294294295295295296296297297297298298296295296297297296296297297297298298298298299299299299299298298299299298298298299299299299299299299300299299299299299299299299300300300299300300299299299299298299299299298298297298295296295295296296296297296297296297296296296296294295296296296297296296296296297297297298298298298298298298298298298298298298299299299299299298297297295298298297298298298297298298298298298297297298297298298298297297297296295295295295295294294294294294294294294294294294294294294294294294295295295295295294294294294293293293293292292292292292291292292291291291292291291291291291291291292292292291291291291291290290291291291292292292292292292292291291291291291291290290289289289289289289289289290291291291290290290291291291292292292293293292292292291291291291291290290290290290290291291291292292291291291291291291291291291290290290290290290289290290290290290289289289289289288288288287287287287287287287287287287287287287288288287288287287288287288287287287288287288287288288288288288288288289289289289290290291291291291290290290290290290291290290291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290291291291291292292292291291291291291293295295295294294294291999999999999999999999999999999999288292296298299300301301301300299298298298298298298299299298298298297294296297296296295296298297294294295295294294293292291291291291291291292293294293292291291294294296300302299300298299299299299298298298298299299299299299298298299299299298297299299299300300301302299300301302301302302302302301301301301300302303300300300301301300300302301300300301301302303302302302302301302302304302303301300300300301299299299299299299299300301301302300302302303303301304304304304303304302302302302302302302302302302299301300300300299298297297296296294295296296296295295295296296295296298298298297297298297299296295299300300300300299300301300299299300298300301301301300299299299298297296297296295294295296296297297298298298298299298296297298298297297297298298299299298297297299299299299299298299299300300299299299299299298298300300300300300300300299300300301300301301301300300298299299300300300300300299298300299298298297297297297296296297297298297297297296295296295295297297296297297297297297297297297297298298299298298298298298299298299298299299298298298297298298298298298299298298297297298298298298298298298297298297296296297295295294293294294294293293294294294294294294294294294294294294294294294295295295295294294294293293293292292292292292292292292292292291291291291292291292292292292292292292291291291291291291290290290291291292292291292292292292292291291291291291291290290289289289289289289289290291291291291291291291291291292292293293293293293292292292291291291290290290290290290290291291292292292292291291291291292292292291290290290290290290290290290290290290290289289289289288288288288288287288288288288287287288288288289288288288288288288288288288288288288288288288289289289288288289289289289289289290290290291290290290289289289290289289290290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293305302298296293291291292292292291292292293291290291292293294294295295296295295999999999999999999999999999999999999290295298299300301301301301300299298299299299299299299299298297297297298297297297296297297297296296295295295295294293293293292291291292292293294294294293293293293294295299299300301300300300299298298298298300299300300299299299300299299298301298300300300300300300300301302300302302302302301301301300301301300301302300301301300300300301300301301301302304304303303302302302303303302303303303301301300300299299299299298299299299301302302302302302303303301302304302304302303303303303304303303303303303303302303300303301301300300298298297297297297297297296296295295296297296297298296297297296297296297296296298301301302302300301302300300299299299299301301301302300300299299298298297297296296297297297297299297297299299299300299298299299299298298299299299299297298299299299299299298298299300300300299299299299299298298299300300300300300300300300301301301301301300300300299299300300300299300300299299298298298298298297296297297297298297297297297295295295296295295296296297297297297297297297297297297298298298298298299299299299298298298299299300299298298299298298298299299299298298297298298298298298299298298297297296296296296296294295295295294294294294294294294294294295295294294295294294294295295295294294294293293293292292292292292292292292292292291291291292292291291292292291292291291291291291291291292291291291291291292292292292292292292292292292292292291291292292291291290290290289289289289289290291291291291291291291292293293293293294293293292292292291291291290290290290291291291291291292292292292292291292292292292292292291291291290290290291291291290291290290290290289289289289289288289289288288288288288288288288287288288288288288288287287287287287288288288288288288288288288288288288288288289289289290290290290290290290289289289289289289290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292293300301297292292292293292292292293293293292291291292293294294295294298299300999999999999999999999999999999999999289293298300301302301301300301301299298300299299299299299299297296296297296297297296296296297298296295295295295295293293292292292291291291292293293294295294294294293294295299301301300300299299299300298300300301300300300300300300300300300299300299300300301301301300301303301302303302302302301300301301301301301302299300299300300301300300301301301300301301303303304303303304304304304304303303302301301300299298299299299299302302302302302301302303303304303302302304303304304304303304304304304303305304304303301302303302301300299298298298296297298298296297296295296296297298295295296297296297297298296296299300300302300301301301302301300299299299301302302303302301301300300299298297297296296297297297298299299299299300300300299299299300299299300300300300299299299299299299298298298299299298299299299299300299298298299299299299299299300300300301301301300300300299300301300300300300300299300299299299299299299298299298296297297297298297297296296296296295296296295296297297297297297297297297297297297298298298298298298299298298299299298299299299298297298298298298299300299299299297299298298298298298299298296297297297297296296296295295294294294293294294294294294294294294295295295295295295295295295295294294293293293292292292292292292292292292292292292291291292292292292292292292292291291291291291292292291291291291291292292292292293293292293293292292292292292292292292292292291290290290290290290289290290290291291291292292293293294293294294293293293293292292292291291291291291291291292292292292293293293293292292292292293293292291291292291291290290290291290290290290289289289288289288288288288288288288288288288287288287287287287287287287287287287287287288288288288288288288289288288288288288288289289289290290290290290290290290289289289289289289290289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293299299298296295294293293294294294294293292290291293294295296296295299301304999999999999999999999999999999999999293296298300301302301301301302301301300300299300300299298299999297298999999297297297299299299298297296295296295294294293293293292292293291292292292294294295293293294294296298302302302302299299300299300300301302300301301300300300299300300300300301300302301300301301301301301301303301304302302303300300301301302302299300302300300301301301301301301300300301301302304304304304305305304304304304303302301302300298299299301301302302302303302302302302303304303303304302303303306305304304304305305305305305306302301302303303302301300299298298298298299298298297297297296296297297298298298299298297297298297297298300301302301301302301302301301299300301302303304302301301301301301299299298297297297297298299299299299298298299299300299300300300300299300300301301301300300300299299300299299299299299299299299300300300300299299300299300300300300301301301301300300299299300301301300300300301301300301300300300299298298299299298298297297297297297297297296296296297297296297295297297297297297296297297297297297298298298298298299298299298299299299299299299299298298299299299299299299299299299299298298298298298297297297298297297297296295295296296295295295295295295295295295295295295295295295296295295295295295294294294293293293293292292292292292292292292292292292291292292292292292292292292292292292291292292292291292292292292292293293293293293293293293293293293293293292293292292292293292292291290290290291290290291291291292292292293294295294294294294294294294294294293293292292291291291291292292292292292292292292292292291291292292292292291291291291290290290289290290290289289289288288288288288288288288288288288288288288288288288287287287287287287287287287287288288288289288288288288289289289289288288289289289289290290291291291291290290290289289289289290290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297297296295294294294295295296295293293293292293294295297296297299301305999999999999999999999999999999999999292294297300301300300301302302302302302301300300300300300299299298298298299298298298298299299300299296297296295294295294294292291293291293291292292292293294293292294294294296299301302302301300299299300300301301300300300301302300301301300301301301300301301302301301301301302302301302301300299302303301300302301301302301300301301301301302302301301301301301300300302302304304304304305304303303303304302302301301300300300302301301302302302302302302304303303304304304303303305306306304304304305305305305305305302304305305304302302301300299301300299300299297298298297297297298298298299299299299299298297296298299301302301302302303303302301301301302302302303305301302302302302302300299297298297297297297299299299298298297298299298299300300300300300300300300301301300301300301301300300300300300298300297298299299300300299300300300300301300301302301301301300301300300301301301300301301301300301300300300300300299299299299298298298297297297297298298297295297297297296296296296297297297297297297297297296297297298298298299299298299299299300300300300299299298298297299299299299299299298298298298298297298297298298299299297296297297296296296296296296295295295295295295295296296295295296296296295295295295295294294294293293293292292292292292292292292292292292292292292293293293293293293293292293293292292292292292292293293293293294294294294294294293293293294293293293293293293293293293293292292291291291291291291291291292292292292293293294294293294293293293293293293293292292292292292291292291291292292292292292292291291291291292292291291291291291291291290290290290289289289289289288288288288288288288288288288288288288288288288288288287288287287287287287288288288288289289289289289289289289289289289289289289290290290291291291291291290290290290290289290290290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294294294294294293293294294295295295294294294294293294296297298300298300302307999999999999999999999999999999999999293297299300301302301302302302301301301301301302301302300299300298297299299300300300300299300300299299298296296295295295294295294294294293292292292293294293291295293293295299300300301302302300300300300301298299300302302301302301302302301302301301301300302301301301302302302302300301302301300298299301302301300301301300301300300301301302302301301301300300299301301301302303303304304303303303304303303302301300300300302302302301301301303303303304305304305305304303302305304306305304304305304304305306306305305304305306304303303302301301301300301300300299300299299299299300299300299300299300300298298298299301302301302303302303303302302302301302304304304303303302302302302301301301298299298297298299298299299299299297298298299299299300300300299299299300300300300300300301300300301301300301300300299300299300300299299300300301301301300301301300300301301301300301301301301302301300301300302301300300300301299300300299299299299298298297297298298297297297297298297297297297297297297297297297297297298297299298298298298298299299300300300300300300299299299298299299299299298298298299298299299299298298298299298298299298297297297296297297296296295295295296296296296296297297297297297297296297296296296295295295294294293293293293292292292292292292292292292293292293293293293293293293293293293293292292292292292292292292293293294294293293293293293292293293292292292292292292292292292292292292291291291290290291291291292292292293294294294294294293293294293293294293293293292292292292292292292292292292292292292291291291291291291291291291291291290291291290290290290289289289289288288288288288288288288288288289288289289288288288288288288288288288288288288288289289289289289290290290289290290290291290290290290290290291291291291291291291291291291290290290290290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293293293294294294293294294295295295294294294294293295300301300299298299302999999999999999999999999999999999999290295298300301302303303304303302302303303302302302301303301300301299300300300299300299299299300299299300299297297297297296296296295295294294293293293293294293294295295296298300301303302302302302299299300300301301300301302302302302301301302302302302301301300301302301303302300301302301300300300300302302302301301301300300301302302301301302302302301301300300300301301301301302304303303303303303303303305304303302302302303302303303301302303304303305305305304304302302303303304306306306305305305305305306306306307306306305305303303302302301301301301300300300300301301300301300301300301300302301300299299300301301302302303303302302303303304303303302304304305303303304303304301303302301300299298297299298298298298299299299300299301299298299300300299300300300299298299299300300299300300301301301301301301301301301299299299301301301301301300301300301301300300301301301301302302301301300301302302301301301302300300299299300300299299298298298298298298299298297298298298298297297297297298297297298298299299298299299299298299299300300300301300300300300300299299298299298298298298297298299299299299299300299299299299299299299298297297297297297297296296295296297295296296297297297297297297297297297296296296295295295294293293292292292292292292291291291292292292292292293293293293293293293293293292293292292292292292292293292293294294293293293293293293293292292292292292292292292292292292292292292291291291291291291291292292292292294294294294294294294293294294294294293293293292292292292292292292292292292292292292291291291291291291291291291291290290290290290290290289289289289289288288288288288288288289288289289289289289289289289289289288288288289289289289289289289289290290290290290290290290291291291291291291291291291291291291291291291291291291291291290291290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299294294293294294295294295295295296294294294294294294294295300302300298297300999999999999999999999999999999999999999291296299301301303303303302302302302304303303301302303302301300300300299299299300300300299299299299299299299298297297297297297297296296295294294294294293294295297296297297299298301302302302302299300300300301301302302302302302301302303303303303302302302304301302302300300300302301302300300300303303303303304301301301302302303303303303303303303303302302302301301301301301300301303304304303303303304305305305303302302301300302303304304303304304304305305305303305303303304304303306306306306304305304305306306306307307307305305303303303303302302302301301301301301301301301301301301301302302302301301300300299301302303303304304304302304304304303303304305305304304304305305304303302303303301300299298298299299299299299299297298300299300300300301300300300301299299299299299300300300300300301302302301301302302302301302300300301302302301301301301301300301301301301301302302303303302301301303303302302302302302302301301301301300300300300299299299299299299299299299299298298298297297298298298298298299299299299300299299299299299300300300300300299300300300299299299299298298300299299299299299298299299300298299299299298298297297297297296296297296296295295296296296296296296296296296297297297297297297296296295295295294294293292292292292291291291291291291292292292293293293293293293293293293293293293293293293293292293293293294293293293293293293293292293293292292292292292292293292292292292292292291291291291291291291292292292294294294294294294294294294294294293294294293293292293292292292292292292292292292292291291291291291291292292291291291291290290290290290290289289289289289289288288288288288289289289289289289289289289289289289288289289289289289289289289290290290290290290290290290291291291291291291291291291291291291291291291292292292291291291291290291291290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302294294293293293294295295295295296297296295294295293293293293294298302301297298295999999999999999999999999999999999999999292298301302302303303303304305303303303303302302303304302300301301301300299300300299300300300300300300299300299298298298298297297297297295296295295295296295296298298297298298300300301302301301301302300300301301301302302302303303302303303304303303303303302301303304300300301301303301301301301302301302302302301302303302303303303303303303303303303303303303302303303302301301301302302303304304303304305304304303302302301301301300304303303304305304305305303303303305306306306306306305306306304306306306306305305307308308306306305303304304303302302302302302302302302302303302302302302303302304303302302301302303303305304304304304303305305305305305304303304305305305307305305304303303303302301299299299300300299298300298297298298299299300300300301301300301300299300298298300300300300300301301301301301301300301301301300301301301301301301301301300301300301300301301302302302302302301302303303303302301302302301301301301301300300300299299299299299299299299299299299298299298298297297298298298298299298299299299299298299299299300299299299299299299299299297298298299299299299298298299298298298299298299298298299299297297297296296297296296296296295295296295296296296296296297296296296296297296297297296296296295294295294293293292292291291291291291291292292292293293293293293293293293293293293293293293293293293293294294294293293293293293293292292292292293293292292292292292292292292292292293292291292291291291292292292292293295294294294294294294294294294293294294293293293293293293292292292292292292292292292292291291291291291292292291291291291291291290289289289289289289289289289288288288288289289289289289289289289289289289289289289289289290290290290290290290290290290290290291291291291291291291291292291291291291291291291291291292292292292292291291291291291291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298295291292292292293294295296296297297298296296296296293291291291291297302301296298999999999999999999999999999999999999999999294298300300301304305305304304304303304304305305303302301301300301301300301301300300300301300300300301300299299299298298299298297298297297296296295296297297297297298298298300301298300301299300300299300301301301300303303302303303303304303303303303302302302301303303300300302300302302303302301300299301303303303301303301303302302302302303303303303303304304304304303303302302300300301302304303304304305304304303302302302301301302303303303304305304303303303304304305307307305305306306306306305305306305305307307307306306303303304304305303303302302301302302302303303302302302302302303303304301301302302302303303303304304304304304304306305304304304304305304305304305305304305304304304304302301300299299299299299298298298297299299299299299300300300301300300300299299299299299300300300299301301301301300300301300300301300301301300301301301300301301301301301301301302302302302303302303303302303303303303302303301301301301301300299300300300299299299300300299299299299299299299298297298298298298298299299299299299299299299300300300300299299298299300298299298298298298298298298299299299299299298298297299299299298298298298297297297297296296296296295295295295295296296296296296296296296296297296296297297297296296295294294293293292292292291291291292292292292293293293293293293293294294293294294294294294294294295295294293293293292292292292292292292292292292293292293292293292292292292292293293292292292292291292292291292293294295294294294294294294294294294294293294293293293293293292292292292292292292292292292292292291291291292292291291291291291291291290290290290290289289289289289289289289289289289289290290289290290290290290290290290290290290290290290290291290290291291291291291291291291292292291292292292292292292292292292292292292292292292292292292292292292291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303304289289290292292292293294295296296297298299298298297294292291289293290295303301298299999999999999999999999999999999999999999999297299300302302304305305304303304303303303303302303304302300301300300300300300300301300300300301301299300300298298298298299299298297298297297297297296297299299299298301300300300300299301301301301300299298300300301302302301302303303303302303304304303303303303302303301302302302302302302302302302302304303302302303301303302302303303303303303303303304303304304305304304303302301300301302303304303304304304304304303302302301302301302304304304304305302303303305305307307307306306306305305306305305306306305307307306305306305305304304304304302302301301302303304304303303303303303303303304303303303302301304303304304304304304304305305306306303304303305304305304304305305306304305304304304303302302301299300300300299299298298299299298298299299299300300300299299299299299298299299300299299300300301301300301301300300300300301300300300300300301301300300301300302302302302302303303303303303303302303302302303303302302301302301301300300300300300299300300300300299299299299299299299299298298298299299298298298298299299299300299300298299299299297299299298299297298298298298298299299298298299299298298297299298297297297298298298298297297295296296296295295295296296296296296296296296296296296296297297297297297296295295294294294293293292292292292292292292292293293293293293293294294294294294294295295295295295295295294294294293293292293292292292293292292292292293293292293293292292292293293293293293292292292291292291291292294294295295294294294294294294294294294293293293293293292292292292292292292292292291292291291291291291291292292291291291291291291290290290289290289289289289289289289289289289290290290290290290290290290290290291291291291291291291291291291291291291291291291291291291292292292292292292291291292292292292292292292292292292293293293293293293293292292 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302300298296294293293293293293293294294295296297297299300299299296294292290288298296297303301301999999999999999999999999999999999999999999296300302303303302304306305303302302301302303303303303303302301301301301301300301301300300300301301302301300300299299300301300301298298297297299299299297298297297298296298301298298298299300302300301301299300299301300302301302302302302302303304303304303303303302303303303302302304303303302302303302303303303302302303303302302303303303302302303303303304304305304305305304304303302300301302304304304304304305304304303302302301302302303303303304305304302304305305307307307306306307307306306305305306306305307306306306306304306305306304305304302302301303303304305304304303302302303304302303303304303302302304303303304304303304305305305305305304304303305305305304303303304305306305304304301303303302301300300300300299300300299299298299299299299298299299299299298298299299299300300300299299300300300300300300300300301301301301301300300300301301301301300300300301301302302302302302303302302301302303302302303303302302302302302301301300299300300300300300300300300299299298299299300299298298298299299298299298299299299299299299299299300299299298298298299298298299299299299299299299298299298298298299299297297298298297297297297297297296295296296295295295296295296296296296296296296296297296297297297297297297296296295295294294294293293292292292292292292292293293293293293293294294294294294295295295295295295295294294293294293293293292293292292292292293292292293292292293293293292293293293293293293292291291291292292292293294294295295294294294294294294294294293293293293293293292292292292292292292292292291291291291291291291292292291291291291291291291291290290290290289289289289289290290290290290290290290290290290290291291291291291291292291291291291291291291291291291291291291291291291292292292291291292292292292292292293293292293292292292292293293293293293293293292 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301300300295294294295294293293294294295295296296297298299299299298296293291290289291296300303302306299999999999999999999999999999999999999999297302303303304305304303304305304303303303303304304303303304303303302301300301301301301301301302302302301299302300299301301301300299298300298301301300299299297299298297298298298299299299302300300302302298302303303300302302303301302302301303303303303303303302302302302302302302303302302302302302303302302302303303303302303303303303302303303303302304304304303304306306306304303302301303304303303304304305305304303303302301302302302303303303303304304304304306306305308307307307307307307306306306307306305306305307306307307306305304304305305304304303304305305305303303303302303303303303303303304304303303304304304303304304304304304304306305305303303303303304304304303305305306305304302303303303302302301301301299299299300300299299299299299299299299299299298299299299299300301301301301301301300300301301301301301301301301301301300300300300301301301300301301301301302303303303302302303303302302303303303303304303303303302301301301301300300299300300300300301300299299299299299299299299298298298298298298298299299299299299299299299299299299299299299299299299299299298299299299299299298298299299298297296297298298297297297297297297296296295296295295295296295295296296296296296296296296297297297297297297297296296296295295294294293293293293293293293293293293293293294294294294294294294295296295295294294294294293293293293293292293293292292292292292292292292292293293293293293293293293293293293292292291291292292292293294294294295295295294294294294294294294294294293293293293293293293293292292292292292292291291291291291292292292292292291291291291291290290290290290290289289289289289290290290290289290290290290290291291292291291291291292292291291291291291291291290290291291291291291291292292292291291292292292292292292293293293293293293292293293293293293293294293293 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298297300298297296295295295295295294294294294295296296297298298300300299299297293292291291293296301303302303308999999999999999999999999999999999999999299302303304302305303303303305304304304303304304304304304302301302300300302301302301299302303303302302301300301299301301302302300300302301301302300300300299299301300300300301299299301301301302302302303299299299299299302302302303303301302303303303303303302303303303303304303303303301301302302301303302302303303303302304304304303302304303303303303304304304303305305306304304304304302303304303303303304305305304304304303303302303304302305304305304305305305306306307308307307307308307306306306307307307306306307307307308307306305304304304304304305304305304304304304304303303303303304304304305305304304305305305304303304303305305306306305305305306304304304304305306305305306306306306303304305304302304302302301301301301301301300300299299300300300299300300300299300300299300301301302302301301301300301301301301301301301301301300300300301301302301301301301302301301301304304303302303303301302303303302304303303303303303302301302301301301301301301301300300301301300300300300299299300299298298298298298298298299299299300299298299299299299299299298299299299298299299298298298298299298298298299299299298298299299298297297296296297297297296296295295295295296296296296296296296296296296296297298297297297297297297296296295295295294294294294293294294293293293294294294294294294295295294295295295295294294294294294294293293293293293293293293293292293293293292293293292293293293293294293293293293293292292291292292292293294295295294295295294294294294294294294294294294293293293293293293292292292292292292292291291291291291292292292292291291291291291291291290290290290290290290290290290290290290290290289290290290290291291291291291291291291291291291291291291291291290290290290291291291291291292293292292292292293292293293293293293293293293294294293293293293294294294293293 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298296297298298298298297296295294294294295296297297299300300300299298297294293295294297299302304302301999999999999999999999999999999999999999295300302304304304305304304305304304304304304304305303304304304302303302301301302301301303301303302303303301301301301301302302302302301302302302301300300301300300301301301301300299300299301301302301302303300300300301302302302302301301301302303302303303303303303303304304304303302301301301301302303302302302303302304303302304303303303303303303304303303304305305306306306304303303302302302303303302303304305307307306304303303303304304304303304304307306306306306307307307307307308308307307305307306307307306306306308308307307306305304304304305305304305305304303304304306305306306305304305306306307306305305305304304304304305304305305306305305306305304304304305306305305305305304305305303304304303302303303303303303302302303302302300300300300300300300299299300300299300299300300301301300300301301301301301301301302301301301301300301301301301302302301302302302302302302303303303303304302301302302303302303303303303303302302302302301301301301301301301300301300300300300300300299299299300299298297298297298299299300299298299299298299299299299299299299299298298299298297297297298299299298298298299299298299299298299298297297296296296296296296296295295296296296296296296296296296296296297297297297297297297297296296297296296295295294294294294294294294294294295295295295295295295295295295295295295294294294294294294294294294293293293293293293293292293293292293292292293293293293293293293293293293293292292292292293293294295294294294294294294294294294294294294294294293293293293293293293292292292292292292291291291291291292292291291291291291291291290291291290290290290290290291291291291291291291290290290290290291291291292291291292292291291291291291291290290291290291290290291291291291291292292292292292292293293293293293293293293293293293294294294294294294294294294293 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297297297297298299299299299298296295294294294295297298299299300299299298297294292292297299302303304304303302999999999999999999999999999999999999999297301303304303305305304305305306306306306307305305305304305305302302303303301301301302303302303302300300300300300301302300302301302301301302302302299300300301301301301302301300302301299302302302302301302302301301300299301301301302301300301302302303303302303303303303303303302302302301301301302302302301301302304303303303303303303303302303304303303305304306306306305304304303303303303302303303305303304306307306305303305303304305305305304304305306307308307307307308307307308308307307307307307307308307306307308308307307306304304304304304305305305305303304305305305306307307308306304306307306306307307305306307305305304305305305305305306306306306305305305306305305305305304305304305304305304303303304303303303303302303303303302301303301300301300299300299299300300300300300300300301301300300300301301301302302302301300301301301301301301301302302301301302302303302303303303303303302302303302302302301303304303303303302302302302302301301301301301301301301301301301300300299299299299299299299298298299300300299299298299299299298298297298299299299299299299298299298298297297299299299299299298299298298298299299299297297297297296297297297297296296296296296296296296296296296296297296297297297297298298298298297297297297296296295295295295294294294294294295295295295295295295295295295295295295295294294294294294294294294294294294294294293293293293293293293293293293293293293293294293293292293293292292292293293294294295294294294295295294294294293294294294294294294294294294293293292292293293293292292292291292292292292293293292291291291291291291290291291291290290290291291290290290290290291291290290290290290291291291291291292291291291291291291291290290290290290290291291291291291291292292292292292292293293293293293293293293293293293293294294294295295295295295294294 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294296297298298298299298299298297295294294295296298299299299298298298297295292291293298302304305305304303301999999999999999999999999999999999999295301302303303303305306304306306307306307306307306306305305306305302302303302301302303302301301302301302302301301301302302302302301301300301302302303302301303303302301302303303303303302302303303303302301303301299302301304302301301301301302301303302304302303304304304303303303302302302301302302302301302303303304303303302303302303303304304303306305303304306306306306306305304303303304304304305303304305306306306306304304303304304304305304305305306306306307306307307308307307307307307307307307306307307305307308308306307305305305304305303305306305305304304305305306306307307308307306305306308308307308307306308307306305305306306305305305305305307306306305306306305305304303305306304303303304304304304303302303304303302303304303302302303303302302300301301300300300301301300300300300301300300300300301301301302302301301300302301302301301301301301302302302302302301303303304304303303302302303302302302302303303303302302302301302302302302302301301301301300300302301300300300300299299299299299300299299299300300300300299298299299299298298299298299299299297297298298297298298299299299299300300299298299299299299299299298297297297297298297296297296296296296295296296296296296296296296296297297297297297297297298297297297297296295295295294295295295294294295295295296295295295295295295296295296296295295294294294294294294294294293293294294293294294293293293293292293293294293293293293293293293293292292292293294294295295295295294295295295295294294294294293294294294294294294293293293293293292293292292292292292291292292292292292292292290291292290291291290291291291291290290291290290290290290290291290291291290291290290291291291292292292291291291291291291291291290291290290291291291292292292292293292293293293293293293293293293293294294294294294294295295295295295295294294 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300999298297298299299299299299298299298297295294294295296298298298298297296296295292291292296301303304305305304303301302999999999999999999999999999999999300303301302304303305306307306307307306306307306307306306305305303302302302301302303302303303301301300301303302301303301302303300301300301300303302303303301303303304304303302303303301302303305303303303303303301301300301301301301303303301302305304305304303303304304303303302303303302302302303301302302303303303304304304302303304303304304304306304304303304307307307307307305305304304304304304304303302304306306305304304304304305305305305305305306306306306307307308309308307308308307307307307307307307307307308308307306306305306305305305306305306306305304304306306307307308309307305308307306308309309309309308308307305305305305306305306306306306306306306306307306305304304304305305305304304304304304304303303303304304303304304304303304303305303303302303303302301301301300301300301302302301301301302302302302301301301301302302302301301302302302302301302304303302302303303304304304302302303303302303302303302303303302302303303302303302302302302302301301301301301301300300300300300299300301300299300300300301300300300299299300299300298298299297298298298298298298299299298299299298299299299299298299299299299297298297297298297297297298297298297297296297297295296296296296297297296297297297297297297297297298297298297297297296296296295295295295295295295294295295295295296295295295295296296296296296295295295295294294293294294293293293294294295295295294294294293293294293293293293293293293293293293293293294295294295295295295295294294294295294294294293293294294293294293293293293293293293292293292292292292292292292292292292292292292292292292291291291291291291291290290291290291291291290290290290290290290291290290291291291291292291291291291291291291291291290290291291291291291291292292292293293293293293293293294294293294294294294294294294294294295295295295295295295295 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293999999999999999999999999999999999999999999999999999999999999305999999999300299299299299299299299299299299298298298298297296294294295296297298297296296295294292290293297300303303304305305304303301300999999999999999999999999999999300302302302303304303303305306307307307307306306306306306307306305305303305303303304303302302303300301301302303303302301301301302302302300302303304304303301301301304304304304302304304302301303304304303305303303302301299300300302301302301300304304303305304304304303303303303303303303303302302302302302302303303304305303303303303303303303304304304305305304304306306306307306305304304305306304304304304303303305307307305305304306305304303305304305306306307308308307308309308308308307306306307307307307308306309307307306306305305304306305305305306305304304304304305306307308308307308308307307308308309308309307308307306305306305305305304305306306306306307306305304306305304302304306305305304304304304304304304304303304304304303304303306304304304304304304304304303302302301301301300302302302302302300302302302302302301301302302302302302302304302302302301301303302302302302303303303302303302303302303302302303302303303302302302301303302302302302301302301301301300300300300300300299300300300300300300300299300301299299299298298299300299299297298298298298299299299298298298299299299298297299298299299299299299297297299297298298298298298298298298298297297297296297297297296297297297297297297297297297298298298297298298298297297297296296296295295295295295295295296296296296296296296296296296296296296296296296296295295294294294294293293294294294294295295294294294294294294294293293293293293294294295294295295295295295295295294295295294294294294294294294293293293293293294293293293293293292293293293292292292292293292292292292292292292292292292292292292292292291292291291291292291292291291291291290290290290290291291290290291291292292292292292292292291291291291290291291291291291291292292292292293293293293293293294294294294294294294295294294295295295295295295295295295295295 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297999999999999999999999999999302302999999301301302303999304301301299299299299299299299299299299299299299298298298298297296295294295296296296295294295294293294297300302302303304305306306305303302299999999999999999999999999999999302303301299304304304304306306306307307306307306306305306307305306304305305304303304304303303303302301303302302302303302301301301302304300301304303303304301302301303303304304301305304304303302304304303303302302302302300298303303303299305305305305304305305304304303302303303303304303303302302302302302303302303304305301303302302303303303305304304303304304305305307305306306305305305305304304305304303304305307307306305305304305304304305305304305306306307307308308308308308309308308307307306307306307308307306307306306305306305305306305305306306305304305305306306308307308308308307308307307308309308308308307306306306306308307305306305306305305306307306305306306306305304303302304304304304304305305305304303304303303304304304304303303304304304303304304303304304303304303302302301301301301301302302303302303302303303302303303303304304302303303302303302303301301302302302302301302301302302302303303303304302303303303302302302302302302302302302301302302301300301301300300300299299299300300300301301300300300300299299299298298300298299297296298297299299299299299300300298299298297298298299299300299298299299299298299299299298298299298298298298298298297297297297297297297297297297297297297297298298298298297298298298298298298297296296296296295295295296296296296296296296296296296296297296296296296296296296296296295295295294294293294294294294294294295295295294295294294294294294294294294295295295295295295295295295295295295294295294295295294294294294294293293293293293293293293293293293293293293292293292293292292292292292292292292293292293292293293293292291292292292292292292292292291292292291291291290290290290290290291291291292292292292292291291291291291291292292292291292292292292292293293294294294293294294294294294295295295294295295294295295295295295295295295295295 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294296999999999999999999999295300999999297298299300301301300299299299299300299300299299299299299299299298298298298297297296295294295295295295295296297297298300301302303303303305305305306305304303301300999999999999999999999999299302302303303304304304305305306305305306306307306305305306305305305305305304306304304303302303304302302303304304304304302304302304302303303303304304304305302302300303303303303304304304304303304306306304302303305302302300301304302302302304303304303303305305304305305304304303303304303303302303303303303302303304304304304302302302304304303305305305304305305305305306305306305305305304304304303303303304304306306306305304304304304304305305304305305305306307307307307308307310308308307307307307307307307308307307306305305304305306306305306306305304305305306307308308307307307308308308308308308308308309308308307306306308308305305305305305305306304306305306305305305306305303302302305304304304304305305305304304304304304304304304304304303303303302304304304304304304303303304303304303302302302302302304302304303304304304303302303304305304303302304303303304305302302302302302303302301302302302302303303303303303303303303302301301302302302301301301302302302301300301301300299299299299300301300300301301300300299300299299299298299298299299299299299298298298298299298298299299298298298298300300299299300299299298299299299299300298299299298298298298299298297298296297297297297297297297297297297298298298298298298298298298298298298298297297297296296296296296296296296296296296297297297297297297297296296296297297296296296295296294294294294294293293294294294295295296295295295295295294295295295295295296295295295295295295295295295295295295294295295294294294294293293293293293293293293293293293293293293292293292292292292292292292292292293293293293293293294293293292292293293292292292293293292292292292292291291290291291291291292292292292292292292292292291292291291292292292292292292292292293293293294294294294294294294294295294295294295295295295295295295295295295295295295295294 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295296295999999999296299299305299296297297298298299299299299299299299299299300299299299299299299299299298298298298298298297296295295296297298299300301301302302303303303304304305305305306305304304302301999999999999999999999298299301302303303304304304307305305305306306304306305305305306305305305305307304304304303303303303302302303304305305304304301303303301301305302303303304304302304303302303302301303303305303304306306303305304303305305305301304302304305305302302303305305305304304304304304304304305303303303302301303303302303301302303303304304303302304303304305302304305303305304306306306305307305307306304304304305304305306305306305305305304304304304304304304304305305305307307307307307307307309308307309309309307308309307308308308307307306306306306307306306306306305307306307307308308307307307307307307307308307307307307306307307307307307307306306306306305306305305305305306305305307305305305303303303305305304304305305305304304303305304304304305304305304304304302303303303304304304304303304303304304304303302303304304303304304303303304303304304304304303303303303303304304303303302302301303302302302302302302303303303304303304304304304303303302302302301301301301301301301301301301301300299299300300300301300300300300300299299299299299298299298298299300300298298298298297298299298299299299299299298298298299299299298298298297297299299300300298298299299298299298297298298298297298297298297297297298298297298298299298298298298298298298298298298298298297297297296296297297297297297296297297297297297297297297297297297297297297296297296296296296295294295294294294294294294294294295295295295295294295294294295295295295295295295295295295295295295295295295295295294295295294294294294293293293293293293293293293292293293292292292292292292293293293293293293293293293293294293293293293292292292292292292292292292292292292292292291291291291291291292292292292292292292292292292292292292292292292292292292293293293293293294294294294294294294294295295294294294294294294295295294295295295295295295295295 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296297298297297999999296299298296296296297298298299299299299299299299299299299299300300299299299299299299298298298299298299298297297298299300301302302302302302302303303304304304305305306305305305304303301300301999999999999300301301302302303303304304304305305305306307308304305308305304306304305304304306306306304303303303303303304303304304304304304302303303302302302301303302303303304302303303302304300302304304301304305303303305303302302303304303304302302304301303303303304305304304303304304304303304304303302302301302302302302301302303302304304305303304304303305305304306306304305305304306307307306306305305304305305303304305306306306306305304304304304302302304304305305305306308307307307308309310309310307309307308307307308308307308307306306306306305305306306306306306305306306307307307307307307307307307307308308308308306306306306306307308307307307307307306306306306306306306307305304306306306305305303303305304304305305305305304304304305305304304305305305304305305304304302303304304303304304304304303304304303303304304304304304305304305305304305305304304304304303304303304304303304302303303303303303303303302302302303303303303304303303303303302302302302302301302302301301301300301301300300300300300301301301300300299298299299299299298299298298298298299298300299300298298298298298298297297299299298298297297297299298298299297299298299299299300299299299300299299297298298298298298298298299298299298299297298298299298298298298298298298298298298298298298297297297297297296297297297297297297297297297297297297297297297297297297297296297297297297296296295295294295295295294294294294294294294295294294295295294295294295295296296296295296295296296296295296295295295295295294294295294294294294294293293293293293293292293293292292292292292293293293292293293293294293294294294293293293293292292291291292292292292292292293292292292291291291291291291291292292292292292292292292292292292292292292293292293293293293293293293294295294294295294294294295294295295295294294294294294294294294295295295295295294 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298299297296999999999297297297297297298298298299299299299298298299299299299299299299299299299299299298298298298298298298299299299299299301301302303303303303303304304303304304305305305305305305304302300303302303999999999300301302303304304305304303304304305305304306305306305305305305305305305304304306306306305305305304305304303304305305304305303303304302303302301303303301303303303302302302301303302301304301303303303303303305300305304302304304305300301301301300302303303303303303303305304304304304304303302301302302302302303301301303302304304304304304305305304304305306305305304304305307307305305306304305305305304304305306306306304305305304304303303302304304304305304307308307308308310308310310310310309308307307307308307307308307307307306305305305305307306305306305305306307307307307307308308307307307307308307307306306306306306306308308307307306306308308307307307306306306305305305307305305304304302303304305304305305305304304304303305304304304305305304304304304304303303303303303304303304304303302304304304304304304304305305305305304305305305305305304304303303304303304304304304303303303304304304303303302303303303303304303303303303303303302302302302302302302302303301301300300301300301300301300301300299298300300299300298298298298298298298299299298299299299298298298298297298298298298298298298297297297297298298298298299299300300300300299299299299300299300299299298298298298298299299299299299298298298298299298297298298298298298298298299299299298298297298298298297298298298298297297297298297297297297297297298298297297298298297297297296297296297296295295295296295295294295295294294295294295294295294295295295296296296296295295296295295295296296296295295295295295295294294294294294293293293293293293293293293293293292292292292291293292292294293294294294294294293293293293293291292292292292292292292292292292292292292292292291291291292292292292292292293293292293292293293292292293293293293293293293293293293294294295294294294294294295295294295295295294294294294294295295295295295295295295 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298298296999295297296296297297297299299299299298298298298298298298298299299299299299299299299299298298298297297298298298298299298299300301301302302303303303302303303303304304304305305306305305303306304304302303304999999299301302303304305304304304304306306305306307306306306305306306306305305305304304305306306306305304305303305303305303303303304303304302302302303301302302302304303303303304302302304301302302303303302304304304303303302301303304304302303301302302301302302303301303302303302302304304304303302300302302304303304303301302302303303304305305305303304304305305305305306305305307307307307307306306305306306305306306306306305304304303303303303303305303305306307308308309309310309310310310309308307307307307307307308307308307306306305307307306307307307306306308307306307308308307307307308307308307307307307307307307306305305305307308307307307307307307308307308307307306306305305307305305305305304304304304306304304305304304305304304305305305305304304304305303304304305303304304303303304304304305305305305305305304305305306306306305305305304305305305304304304304304303303304303303304303304303304303303303303303302302303302302301303302302302301301302301301301302301301301299300300300300302301299300299300299299299299299299299300299298298298298299300300299298297298298298298298298299298298299299299298297298298298298299298300300300299299300299299299299300300299300299299298298299298299299299299298298298298299299298298298298298298298299299299299298298298298298298298298297298297297297297298298297297298297298298298297297297298297297297296295297297296296296296296296296295295295295295294295294294294294295295295296296296296296296296296296296296296296296295296296296295295295294294294294294294293293293293293293293293293293293293293293294293294294294294294294294293293293293292293293293292292292292292292293293292292292292292292292292292292292292292293293293293293294294293293293293293294294293293293294293294294295294294294295295295295295295295295295294294294294294295295295295295295295295 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290999999292292297297296294295295295296297297298298299298298298298298298298298298299299299299299299299299299299299298298297297297297297298299299299300300301301301302302302302302302302303303303303304304305305305307306301304301303302999999298301301303304304302302303304304304304305307307307308305305305306306306307307305307306306306305305305305303304303304303304304303303302303303302301301302304304303303303303303302299301302302303303303303304303303302302301300303301302304302302300302302302301303302302302302305303301302305302300303304301302303301302302302304303303306306306306304304304304306306306304305306306306307306306307306304305306306306306305305304304304304303304303305304303306306306308309308309309310310310308307307308308307307308308307307306305306307306308306306306306306307307307307307308307307307307307307307307307307306306306306306306305305307308307306306307306307308306306307307306305305306306306306306305305304304304305304304304304304305304304304304304305305305305305305305304304304304303304304304305305304303303303303303304305305306305305305306305305305305305304305304304304304304305305303303304303303303304303303303302302302302302303302303303303302301301301301300301301301301300300300300301300302301301299300300300299300300299299298300299298299298298299298299298297297298299298299299299299297299298299298298298299298298297297299299300299299299299298299297298299299299300299300300299299300300299298299298298298298298298298299298298298299298298299298299298298298297298298298298298298298297297297297298297298298298298298298297297296296298297297297297297296296297297297298296297297296295295295294295295295294295295295295296295296296296296296296296296296296296296296296296296296295295295295294294294294294294293293293293293293293293293293293293294293294293293294294294294294293293293293293293292292292293293292293293293293293292293292292292292292292293293293293294293294294294294294294294294293294294294294294294293294294294294294294294294294294294294294294294294294294294294294294295295295295295294 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293294999294295296296295295295295295296296297298298298298298298298298298298298298298298299298298298298299299299298297297297298297298298298298299298299301301301302302302302302302301302302303303303303304304305305306301302303303302302999999300301301303304305303303303302304305306305308306307307306306306306306306307306308305307307306305305305304303303303303304303304301301302305304304304303305305304302302300302303302301301301302302302303303303301302301301300300302302302302302302303301301301302301300301301302302302302302302304303304305303301302302303302304302305306305306305305305304304305305305307306306306306306306306306306306305305306306305304305305305306305304305305306305306307307308307308308309308309310309308307307307307307307306308308308307306306306306308308307307306306307307307307307307306307307306306306307307307307306307306306306306306306307306306307307307307307306306306307307306306305306306306307307305305304306303304304304305304304305304304304304304304305305305304303303304303303305305304303303303302302301302303303303303305305305306304306306305306306306306305305305305305305305304304303303303304303303303303303303303303303303303303303302303303302302301301301301301302301301301301300300301301301301300300300300300300300299300299299299299299299299298298298299298298299299298299298298298297299298298299299298298299299298299298298298299298299300299299299298298298297299299299299299300300299300300299299298299299298298298299298298298299299299298299298298298298298298298298298298298297298298298298297298298297298298298298298298297297297297298297297297297297297297297297297297297296297296295295295295295295295295295295295295295296296296296296296296296296296296296296296296296296296296296296295295295294294294294294294294294293293293293293294294293293293294294294295295294295294294293293293293294294294293293293293293293292293293293293293293293292292292293293293294293294294294294294294294294294294294294294294294294293294294294294294294294294294294294294294294294294294294294294294294294295295295295295 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293293295296296296295296296296295296297298298298298298298298298298298297298298298298298297297298298298298298298297297297297297298298298298298298299300301301302301302302302301301301302302302302302303303304304304303303304304304303303300297301303303303304305304304304304306306307306307308308307306307307307307309308307306306306307306306306306304304304304304304304302301301304305305305302303302304301301302305304304304302302302303303302302301302302303301300300301301301301301303302300301301302302301300301302302301301302303303303303304304303302303301303304303305304306305304305305305305306305303306306305306306306307307305306307307306306306306306305306304306306306304305305305305306306308308307306307308309310309310306306307307307306306306308307307306306306306308308308307307306307309308307307307307307305306306307307307307306306306306306306306306306306305306306307307306307306307308305305306305305306306305306306306305307306306304304305303303302305305305304304303304304305305305304304303304304302303303302302302303302301302302302304304305305304304304305304305305305305305306305305305305305305305304303303303303304304303303303303303303303303303303302302303302302302302302301301301301301301300302302301301301301300300300299299300300300300300300300299298299300299300299299299299299299300300299299299299298298299299298299299299300300300300299300297298298298298299299299298299299299298299299299299299299298300299300299299298299299299298298298298298298298299298299299299298298298298298298297298298298298297298298298298298298298298298298298298298298297297297298297297297297297297297297298297297297297296296296296296296295295295295295295295296296296296296296296296296297296296296296296297296296296296297296296295295295295294295294294294294294293294294293293293293293293294295294294294295293295294294294294294294294294294294292293293293293293293293293293293293293293293293293293294294294294294294294295294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294295294294294 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297296296295296296297296296295296297297296297297297298299299298298298298299298298299298298298298297297297298298298298297296297297297298298298298299299300300301301301302302302302302302302302302302302302303303303304304304303300303304304304304303302302304304303304303304305305304305306306307308308309306307307307306306307307307307306306307308306305306305305303303303305303302303305303303304304305303301305303303304305303304303302305306302302303302302302301302302300301301301300301303302301301302302302302302302301303302302303303304304304304304303303302303303304304305304303306306305305304305306306306304305306305305306306307307306306306307306306306307305305306306306305306305305306305304305306308308307309307308308310310309307307308308306308306307307307307306306307308308308308307307306307307308307307307306306306307306307308307307307307306306306306307307307306305306306305305306306305305306304304304306305305305305306306306305304304306303304305304305304305305304304304305305305304304304304304304303303302303303302302302302303302302303302304303303303303302303304304304304305306305305304305305305306305304304303303304304304304303303303303302302303303303302302302302302302302302302302301301301301301301301301301301300300299299299300300300300300300299300300299299298299300300300300300299299299300300300298299299299299299298299298299299299300300300300300299298298299299299299300299298299299299299298299299299298299299299299299298298298298298298298298298298298297298298298298299299298298297297297297297298298298298298298298298298298298298298298298298298298298297298298298297298298298298298297297298297297297296297296296296296296295295296295296296295296296296296296297296296296296296296296296296296296296296296296296296295295295295295294294294294294294294293293294293294293293294294294294294295295295294294294294295294294295294294294292293294294294294293293294293293293293293293293293293294294294294294295294294294294294294294294294294294294294294294294293293294294294294294294294294294294294294294294294294294294294294295295294 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291999999295296999999297298298297296296296296296296296296296296297297297297298298298299298299298298298298299299298298298298298297297297297297298297296296296297297297299299299299299300301301301301302302302302302302302302301302302302303303303303304304304304304304304304303303303303304304304305305304305305305305304305305307307308308309307307306307309308307306306309309308306305306303301301302305304304302303303303304303302302303303303304303303306303302303304303303303303302302301302301302301300301302301302302303302301302301301302303303302301303303303304302303304304303304302303303304304304304304303303305305305305304305305304305304304306306306306306306306306307307307306307307306306305306305305305304305305307305305307307307307308307307308308310310308308308308309307306307306308306306306306309307309308307308307306307307307308307306306306307307308308307307307307306307306306305306306307306305304304305306305306304304304304303304304305305305305304306303305305304303305305305304303304304305304304305305305305304304303304302302302302302301304303303303303303302303303303303304304304305305303305304305305305305306305306306305306304305303304303303304304304303303303302302302303302302302303302302301301301302301302301302301301301301301300301301301300300299299300300300300300299300300300300300300300299299300299300300299300300300300300299299300299299299299299298299300300299299299300300299297297298298299299298297297300299299300299300299299299299299299300299299299299299299299298298299298298298298298298298298299298298298298297297298298298298298298298298298298298298298298298298298298298298298298297298298298298298298298298297297297297297297297297296296296296297296296296296296296296296296296296296296296296296296296296296296296296296296296296296296296295295295295295295295294294294294294294294294294293294293293293295295295295295295295295295295295294294294294294295293295295295295294293293294294294293293293294294293294294294294295295295295295295295295295295294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297999299295999296999999999999999999295999999999999999999999999999999999999999999999999999999999999999298294293293295295296295297295999295294295295296296296296296296296297297297298298298299299298298298298299299299298297298298297296296297297298298298296297297298297298298299299299300301301301301302302302302302302302301301302302302302302302302302303303304304305304303303303302302303304304304304305305305305305305305304304306306306307307307308306309310309309304304309309305306306305304302302305305304304302304305305306304304304302301305307306304306303303305302303303303302302301300302302302301301301303302302302302301303300302301303303304303303303304304303304303303304303304304305304305305304304303304305305305304304305305306305305305305305306306306306306305306306307306305306307306305304306306306304305305306306306306307307307307308307307307308308308307308308307308308307307307308306306307308309308308308307307308308307307307306308306306307307307308307307307307306306306305306306306306306306304305305306305305305305304303303304305305304305304305305305306305304304303303304303302303304305304304304305303304304304303304303303304302302303302302303303303303303304304303302303302302304304304303302303305305304304304305305305304304303304304303303303304303303303303303302303303303302302303302302302300301301302302302302302302301301300300300300300300300300300299300300300299299300300300301301301300300299300299300300300300299300300300300299299300300299299299298298300299299298299299299298299297297297297297299299299300298298298298300299299300298298299298300299299299299299299299298298298298298298298298298298298298298298297297297297297297298298298298297297298298298298298298298297298297297297297298297298299298298297297297298297297297297297296297298296296296296296296296296296296296296296296296296296296296296296296296296296296296296296296296296296296295296296296296295295295294294295295294294294294294294294294294295295295295295294295295295295296295295295295295295295295294294294295294295294294294294294294294294294294294294294295295295295295295295295295295295294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297298296299299298298295296292290999999999999291999999999999999999999999999999999999999999999999999999999295293293293294293294295295296296295295294294295295295295295295295296296297297298298298299299298298298298298298298298297297297297296296297298298298298297297297298298298299299299300301302301301301302302302301302301302302301302302302302302302302302302302303303304303302302301303302304303304304305304304305305305304304304305306304302304306307304308306307306306304304309308305304306306307302303302303304303303303303304306304304303304304305304304303304304305303305303303302303300302301302302303303301302303303302302305305304303304303303304304304303305305304302302305303304304304305305304304306304303302305305304305306305305307307305307306305306307306306305305306305306307306306306307306306306305306306305305306306307307306308307307307307307307306306307308307308308308308308307307307306306306308307309309309306307307308307307308307307306307307307307308306306307307307306305305305306306306306306305305304305304305304305304304304304304304305305304305306304305305304303302302303305305305304304304304304303303304304303304304303304304304304302303302302302303303302302303303303303303302302303302304303302303304304303303303305305304303305304304304303303304303303303303303303303302302302303303303303302302301300301301301302302302302302301301299300300300300300301300300300300299300300300300301300301301300300301300300301300299299300300299300300300299299299299299300299300300298298299299299299298299299298297298299299298299300297300300299298299300297298299299300300299299299299299299298298298298298298298298298298298298299298298298298298298298298298298298297297298298298298298298298298298298298298297298297297298297298298297297297297297297297297297297297297297297297296297296296296296296297296296296296296296296296296296296296296296296296296296296296296296296296296296296296296296296295296295295295295294294295295295295295295295295295295295294295295295295294294295295295295295295295295295294295295294294295294294294294294294294294294294295294295295295295295295295295295295294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295297296298299297298298298298298299298999999293294295294293291999999999999999999999999999999999289292291294293294293292293293293292294294295295295295294294295295294294295295295295296297297297297298298299299299298298298298298298298297297297297296297298299298298298298298297298299299299299300300301301301301302302302301301302302302302302302302302302302302302302302302302302302303302302301301302304303304304305305305305304305305304305305304303303306308307307308308306307307306304308308306305306305306305303305304305302305305303305304304304303304303303303302303303304304304303303304302304303303303304304303304304304303303302303305304304303304304306303302304305306304304304303303304304305305304304304304303305302304303304304305304305305305304306306305306307307307307304306306305305307307307306307304306306305305304306305307306307307308307308307306306306306305305306307308307308308308307308308309307308309307308309309309306308307307307308308306306306306306307306306306306306306306306306305306306305304305305305305305305305305305304304303303304305305305304305305304304303304304304303303303305305305306305305305305303303303301303304303303301302300302303301301303304304303303303303304303303302302303304304304302303303304304304305304305304304304304303305303304305304305303301302302302302302301303303303302303301301300300301301301301301301301301300300299300299300300301300300300300299300300301301301300301301301301301301300301300300300300300300300300300300300300299299299300299301300299299299299299299299300297297298298298298298298298298298300300298299299297299298299300300300300300299299299299299299298298298298298298299299299298298299298298297297298298298298298298297298298298298298298298298297298298297297298297298298298297298297297297297297297297297297296297297297296297297298297296297296297297297296296296296296296296296296296296296296296296296296296296296296296296296296296296296296296296296296295296295295295295295295295295295295295295295295295295295295295295294296296295296296296295295295294295295295295294294294294295295295295294294295295295295295295295295295295295295295294294294294294294294294294294294295294294294294294294294294294294294294294294294294294294294294 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293295297298296298300298299299299298299299300297297297296298297295293999999999999999999999999290291290293293291292293291291292292292291292293294294294294294294294295295295293295295295296297297297297297297297298299298297297297298298297297297297297297297297298299298298298298298298298299299299300300301301301301301301302302302301301302302302302302302302302302302302301302302303302302303303302302301301304306306304305305303304304305304304305305306305305305305304304305309304309309305305308308305306305305306305304305304304305305305303302303302302302301303302302303302303304303302303302300301304301304301304303302303303304304303302303303304305304304304301304304304305304305304303303304303304303303303303305304303302302302304304304303304304305305305305304306306306306306305305306306306306306306307307306305305306304306305305306306307308307307307306306306306306306306306307307307307307308308307307308308307307307307308307307307308307306306307307307307307306305307307306306306307307306306306306306306305306306305305304304305305305305304303303304303304305304305303305305304303304305305303305303303303304305305303305303303304303304302302302303302302301302303302304303303304303303303303302304303302302304302302302303303302303302303305304303303303304305303304304303304304302302303303302301302301301302303302302302301301301301301301301301300301300300301301300299299300300300300300300301300301300300300301300300301301301301301300300300300300300300300300300300300300300299299300300299299298300300298299299300300298300298297298299299298297298299299300300300299299300297298299300300300299299299299299299299299299299299299298299298299299298299298298298298298298298298299298299298298298299299299299298299298298298298298298298298298298298298298298298297298298297297298298297297297297297297296296296296297296296297296296296296296296296295296296296296296296296296296296296296296296296296296296296296296296296296296296296296296296295295295295295295295295295295295296295295295295295296295296296296296296296295296296295295295295296295295295295295295295295294294294294294294295295295295295295295295295294295294295294294294294294294294294294294294294294294294294294294294294294294294294294294294294 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296296298297297298298298299298298299298298298298299299298299298298296296999999999999999999999999294291290291291289291291292290291293291291292292293293294294294294294295294294295296295295296297297297297297297297297297298298298297297297297297297297297297297297297298298298298298297298298299299300300300300301301302302302302302302302301301301301302301302302302302302302301302302302302303302303302302303301303304305305305305306304303304303303304304304306305303306308309310304309309306304306307308308307307308305305306306306303304305304304304305303305304303303303303305303303304304302301301302301304303304305305306304304304302303303304304304303302302303303304304302304304305304305303304303303304304302303302302303305304303303303304302304303305306306305306304306307305305305305305305304305306305306306306307305303304305305304305305306306307307307306306306308306306305306306306306306307307307307306307308306306307307307308309308307308307306308307307307306306307306307306306305306307308306306306305306306306305306306305304303304304305305305304304303304304305305305305304305305304303304305305305304304303303303303303303303303302303303304303303304303303301301302303303303303303303303303304303303304303303302303303302302302303303303303304304303303303303303303304302304302304304302303303303303302302302302302302302302301301301301301300301300301300301300299300300300300299300301301301301300300301300301300300300300301301301301301301299300300300300301301301300301300301299300299300300300300299298300299299299300300300299299297297300299299299299300300299299300301300298298300300299300301300299300299299299300299299299299299299299299299299299298299299298298298297297297298298298298298298299299299299299299298298298298298298298298298298298298298299298298297297297297297297297297297297297297297296297297296297296297296296296296296296296295296295296296296296296296296296296296296296296296296296296296296296296296296296297296296296296296296296296295295295295296295295295295295296295296296295296295295296296295295296295295295295295295295294295296295295295294294294294294294294295295295294295294295295295294295294294294294294294294294295294294294294294294294294294294294294294294294294294294294294294 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296297297297298298299298298298298298298298299298296298298299296295999999999999999999999291999294293292291291289291292290290291292292291292292293293293293294293293293294293295295296296296296297297297297297297297297298298297297297297297297297297297297298297297298297298298297297298299299300300300300300300301301302302302302302302302301301301302302302302302302302302301301301302301303303302302302303304305306306305305305305303304304303303304304305305305304307308308309304305306306309308308308308308308308308307306305306303307306305304304304303304304305304303303304304304304304301302302304304305305304303304305304306300303303303305304303302305301304304305304304304303305303304304303302305304305306302301303303304305302303303304303304305306306306306305307306306305305305304305306306306306306306307306305305305305306306303305306307307307308307306306306306305305305306305305305306307305307307307308309308306307308308308309307307307307307307307306307306307307306306305305306306307307305305305306307306306305305305304303303304304304304305304305304305305304305305304304304304304304303304303304305304303304303302302303302303304304304303302304304304303303302302303303302302302302302302302302303303302302301302303302302302303302302302303302303303303304303303304304304304305303304302303302301302303302302302302302302302300301302301302301301301300300299300301300300301300300301302301300300301301301301300300300301301300301301301301300300300300300300300301300300300301300299300300301300299299299299299299299300300300299299299299299299299300299300300301298299299299299299299300299300301300299300299299299299299299299299298299298299299299299299299298298299298298298297298298298298298299299299299299299299299299298298298298298298298298299298298298298298297298298297297297297298297297297297297297297297296296297296296296296296296296296296296296296296296296296296296296296296296296296296296295295296296296296296296297296296296296296296296296296296296296296296296295295295295295295295295296295295294295295296296296296296296296295296296295295295296296296295295294294294294295295295294295295295295294295295294294294294294294294294294294293293294293294293294293294293294294294294293294293294294294294 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297297297296296297298297298297297297295296297298298296299298299298297999999999999999999999999294294292292292291291289289290290290291292292292292292293292292293292292294294295295295296296297296297297297297298297297298298298296296297297297297297297297297298297297298297298298298297298299299300300300300300300301301302302302301302302302302302302302302302302302302302301302302302302302301303302305304304304305305305305304305304305306303304305305303302305305304305307306305305305305304306305304305305304308307306305306306304305306306304305305304305304305304304303301303304303304305305303305305305304304303303304302305305303303303304305302302302303301301305301302305305304305303305304302303304305304304303302304305304303304304304304303304306306307307307307306305305306303305307306306307307307306306307306305306306306305305306305305307307308307307305305305305305305306305306306306305306307308307307307308308308308307307308308306307307307307307306306306306306305305305306306306306306306305306305306306306307306305305304305305304304305305305305304306305303303306305304303305305305305303303303304303303303302304301302304304303304304303303303304304304304304302303303305303303303303302303303302301302301302303302301302302302302302302303304303304305304303303303304303304304303303302302303302302302302302301301301302303303302302302302302301301299298299300300301301301301301302302301300300301300301300300300301300301301301301301302300300300300300300301300300299300300300300300300300300299299299300300299299300300300300299299299300299299299299299301300300300300300299299299300301300300300300300300300299299299299299299299299299299299299299299298298298298298298298298298298298298298298299299299299299299299299299299298298298298298298298298299299299298298298297298298298298297297297297297297297297297297296297296296296296296295295295295296296296296296296296296296296296296295295296296296296295296296296296296296296296296296296296296296296296296296296296296296296296296296295295295295295295295294294295295296296296296295296296296295296295295295295295294294294294294294294295295295295294294294295294294295294294294294294295294294293294293293294294294294294294294294294294294294294294294294294294294 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296999298297297297297297298297298298298298298297298297299298296297298299299298299999999999999999295294295295294292292292291291290289290290291291292292291292292293293292293293294294295295295295296296296296296296296297297297298298298297296296297297297298297297297297297297297297297298298298298297299299300300300300300300300301301302301301301301302302302301301301302302302301302302302302302302302303304303303301303302304304304305305306306306306304304305305304303303305306306307306304304305304306306305305304303306306306305306306306306307307307306306306306305304304302305305303304306303306302306303302305304301302302302303306305305303305305306303303303301302303303304303302303303303304303302303303304303304304305304305304303304304305303304305305306307306305306306306306307307306305305305306306307307308306306305306305306305305305306306306307307307307306306305306305305305306304306305306306305305306305306305307306306306306307307307305306307307307307307306306306306306306306307307305306305306306306306307306305305305305304304304303304304305304304303305306306304304305304304304304305305303304303303304304304304304303303302302302303303303303303303303303302302302303303303304304304304303304303303302302303303301303303302303303303303303303303304304304305304304305303302302304304304304303303303303302302303302301302302301301303302302302302302301300300300299300300301301301301301301302301300300300300300300300300301301301301300300301301301300301301301300300301300301300301300300300300300299300299300300300300299300300300300300298298298298299298298299299299299299299298298298299299300300300300299299300299300299299299300299299299299299299299299299299298298298298297298299298298298298298298298298299299299299299299299299298298298298298298298298298298298299298298297297297298298297297297297297296296297297297297296296296296296296295295295295295295296296296296296296296296296296295295295296295296296295295296296296296296296296296296296296296295296296296296296295296296296296295296295295295294294294294294294295295295295295295295295295295295294294295295295295294295294295295295295295295295295295295294294294294294294294294294294294294293294294294293294294294294294294294294294294294294294294294294294294294 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295295296299300299297297297298298298297299298297298298298297298298296298299299299299298999999999999999294294295295293293292293292292291291290291291291292292292292292292292292293293294294294295295295295295296295295296296296296297297298297296296297297297297297297297297296296297297297298298298298298298298299299300300300300300301301301302301302301301302301301301301302302302302302302301301302302302302302302303303301303303304305305306305306306303302304302303305305303305305306306306307303303303305305304305305303304304304306304307307307305306305305305306307306305305305305305305303304303303303304302303302305305302302302302306306302303302302302303302306304304303302302304304303303304305304304304302302303304305305305304306304304304304303303304306305306306307308308305305305306306304306305307306306306307307307306306305305306305306305306306306306307306306306306306305306306306306305306306306306306306307306307307306307306307307307307306306307307306307307307306306306306306306306307306306306307306306306306305305305306304304305304304304303305305304303304304304304305304305305305305304305303304304304304304304305304304305305305304303305303303305303305303305303304302301302302303303303303303302303303303303303303302302303303302302302302302302302303304303304304303304304303304304304305305305304303303302303303302302303302301302301302301301302302302300301301301301301302301301301302301302301300301301301301301301302301300301301301301301300300301301301301301301300300300300300300300299299300299299300300300299299300300300300300300298299300299299300301300300300300300300300299299299299299300300300300300300300299299299299299299299299299299299299299299299298298298299298298298298298299298298298299298299299299299299299299299299298298298298298298298298298298298298298298298298298297297297297297297297297297297297297297296296296295296295295295295295295296296296296296296296296296295295295295295295295295295295295295295295295295296296296295295295295296296296295295295296296296295296296295295295294295295295295295295295295295295295295295295295295295295295294295295295295294294295294295295295295295294294294294294294294294294293294294294294293293294294293294293294294294294294294294294294294294294294294294294293 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294292296297298299299297297297298298298299299299298299298299298297297297298299298298298298300999999999999999999295295294293293293294292291291291291291291292291292293293292292292293293294295295295295295295295295295295295295296296296297297297296296296297297296296297297297296297296297297298298297298298300302298299300300300299300300300300301301301301301301301301301301301301302302302302302301301302302299301302300300300301302302304305306306305307303305304301302304305303305306306306304305303303303304306304307304303303305305306307304308306306308306306307307304305305306307305305305304304303306304304304305304306304306306307308307307305304306303305304306304305304303303305305305306304305303304303304305304303303304305305306305304304305304304303305306306307306307307307306306306305306304305305306305305306307306305305305305307308306306305307305306306306306305305305305305305305306306306307307307306306306306306306306305307307308307306307307307307306305306307307307306306306306306306306305307306306306306305305305304305304304304304303304303303304304304304304304304304305303305305305304302304303304302303304305305305305305304305303304304305302303303305303303305305304304303302303303303304304302304302302302303303302303301302302302302303303303303303303304304303303303304303304304305305305305305304304303303303303300303302302302302302301300302301302302301301301301301301301301301302302302301301300302301301301301301301301301302301302302302300302301301301301300300300300300301300300300300299299300300300300300300299300300301300300300299299299299299300300300299299298299299300299299299299300299300299300300300299299299299299299299299299299299299299299299299298299298298298298298298298299299298298298299299299299299299299299299298298298298298298298298298298298299299298297297297297297297297297297297297297297297296296296296296296295295295295295295295296296296296296296296296296295295296295296296295295295296296296295295295296296296296296296296296295296296296295295295295296296296295295295294295295295295294295295295295295295295295294295295295294295295295294295295295295295293294294294295295295295295294294293294294294294294294293294294294294295294293293293294293294294294294294294294293294294294294294294294294 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291296298298298299299299297297297298299299299299298299298299298297296296297299298298298297297999999999999999292293295293293294293292292292291291291290291293293292293293292293293294295295295295295295295295295294295295295295295295296296296297296296297297297296297297297297297297298298298298298298299299301301299299300300300300299300300300300300300300300300300301301301301301301302302302301301301301301299300299302300300299301302303304305305305305306305305301302303303302303305306306306305302302306305304306307306305305307307308308304304305307306306304305305307305305306306305305305305307307302307303306304304305305304306305305308307306307306306306305302306306302300301303304306306306302304304305304304303305304304306305305305306305306306305304305306305307307307307306305305306306305304304304305304305305306306306305305305305306306305306306306307306305304305305305305305305306306307307306306306306306306306306306306306306305307307306305306306306305306306307307306307306305307305306307306306306306306306305305305305305305304304303303304305304303304304304304303304302304305304304304304304304304304303302304305305305305305303301302302305304302302303305304304304303304302303303304305303304303302302302302302303303303302302302300302303303303302303303303303303303302303304303303303304304304305305303304302303303302302302303302302301302302301301301301302301301301301301301301301302302302302301301300300301301302302301301301301301301302301301300301301301300300299300299299300300301301300300299300300300300300300300301300301301300300299299299299300300300301299299298297299298299299298299299299299299299298298300299299299299299299299298298298298299299298298298298298298298298298298298298298298298299298298298299299299298298299298299298298298298298298298298298298298298298298298297297297297297297297298297297297297297296297296296296296295295295295295296296296296296296297296296296296295295295296295295295296295296296295295295296296295296295295295296295295295295295295295295295295295295295295294294295294294294294295296295295294294294295295295295295294295295294294294294294294294295294294295295295295294294294294294294293294294294293294294294294294294293293293293293293293293293293293293293293294294294293294294294 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294296297297298298297298298296297297297297297298298299300300299298296296296296298297297296295295999999999999999999999293293293293293292293292291291291291292292293293294293293294294294295295294294295296294294294294294295295295295295295296296296296296296297297296296296297297297298298298298298298298298299299299299299299299300299299299300300300300300300300300301301301301301301302302303302302301301301300301298301300301301299301300301304303303305305304304304304302302304302305305305305306303301305306306305305305304305307307307308307305305307308306305304306305305305305306306304306306306304304302308304306307305305303306305304306305305304305304305304303303305302302302303303304304303304304303303305305305304304305307306305306305305305305306306305305305305305306305305305306305306304305304305305305305304305304305305306306305306306306305306306306306305305305305305305307305306306306305306305305305305305305306305305306306305305305306305305305305305305306306306306307305305306307305306306306306306306305306305306305306305304304303302304304304303303304303304305304304304305305304304304304304304304304302303304304305305304304305302303303304304305303303304303304304304304304304302302304303302303302302301303302302302303302303303302303303303303303302303302302301301302303303303304304304304304304304305303303302302301301302303302301302302302301300300301301301301301301302302301301302302302301301302301301301301301302302301301301301302301301300300300301300300300299299299299299300300300300300300299300300299300300300300300299300300299299300299299301300300299299298299298298298298298298299299299299300300300298300299299299299300299299299299299299299299299298298298298299298298298298298298298298299299298298298299299299299299299299299299298298298298298298298299299299298298298297297297297297297297297297297298297297297297296296296296296295295296295296296296296297296296296296296296296295295295296295295296296296296296295295295295295295295295295295295295295295295295295295295295295295294294295295295294294295294294295295295294294294294295295295294294294294294294294295294295294295295295295294295294294294294293293293293293293293293293293294294294294294293293293293293293294293293293293293293293293294294293293294293 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298297296299297298297297297296297297295296297297297299299299298297296296297296296297294294294292292293999999999999999292292292292293292293292291291291291291293293294294293295295295295295294294294294294294294294293294295295295295296296296296296296296296296297296296297297298297298298299299299299298298299299299299299299299299299298299299299299300299299300300301301301301301301302302302301301300301300301300297300299300301300303300303302303303304304305304304303301305305306305305305305305303303306306306306305305304305305306306307308307306308308307304305306306306305306305305304303306307304304303307307307307304304305306304303305305304303307305306306305306305304303303303303305304302303303304303305305305304305305305306305305305305304305305305306305305305305304304305305304305303303305304306306306303306303304304304305306305306306306305306306306304304304304305305305305305305305306304305306305304305303305305305305304304305305305305304304304305305306306306306306307305306306305305306306305305305305304305304305304305304303303303303303304303302302304304303305304303302302304303302303305304304304302304304303304305304303304304303303303303303304304304304304304304304302302302302303303302302301302302303303303302301302303303303302302302302302302303302302302301301302302302302303303304303304303303303302302301300301300301302301301300301301301301301300300300299302302301303301301301301301301301302300301301301301301301301301301301301301301301301301301300300301300299299298299299300299300300300300300300299300300300301301300300300300300301301301301301300300300299298298298299299299299299299299299300300300300300300300300299300300300299299299299299299299299298298298298299298298298298298299298298298298298299299299298298298299299299298298298298298298298298299298298298298298297297297297297298297298298297297297297297297296296296296296295295295296296296296296297296296296296296296296295296296296296296296296296296296296295295295295295295295295295295295295295295295295295295294294294294294294294294294294294295295294294294294294294294294294294294295294294294294294295294293294293295295294294294294294294294293293293293293293293293293293293293294294294293292293292293293293293293293292292293293293293293294294294294 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296299298299298297297296297297298298298298297297297298300299299297296297296296296295293294291291291999999999999999292292292292291291292293292291291291290292293293294294294295295295295295294294293293294293294293293294294294294295296296296296296296296297296296297297297298298298298299298299299299299299298299299299299298298299299298299299299299299300299300300300300300300300301302302302302301301300300300298297298300301302301301302303303303303304305304305303302304302302304305305305305305303305305305306305305305306306306306307307308308306308308307306308306305306305307306304304307307306305306305307307307307307307308306305306308307306305307307305305306306306305305304304304303304304305304303305305305303301304304305305304305305305306305305307307304305306305304304306306305304304305302303304305307306306305304303304304306305306305306306305305304304304304305305305305305305305305305306305305304304305304304304304304304304304304305304304303303305305305305306305306306306305306305305305305305304304305304304304304304304304303303302302304303303303302302303304302303302302303304302302303304304303303303304304304304304305304304304303303303302302302303303302302302302302304304303302302301302302302302303303303303303303301302302302302302302302302303302302302302302302302302302302302303303303303303303303303302301301300301301303302302301301301300301300300300300302302301301303302301301301301301301301301301301301299300301300300300301300301300300301300301301301300300299299299299299299299299300300300300299299299300300300301301301300300301300301301301301300300299299299299299298298299298299299300299299299300300300300299299299300300300300299299299299299299299298298298298298298298298298299299299298298298298298298298298298299299298298299299298298299298299299298298298298298298298298298298298298298298297297297297297297297297297297296296296295296296296296296296297296296296296295296296296296295296296296295296296296296296295295295295295295295295295295295295295295295295295294295294294295294294294294294294294294294294294294294294294294294294294294294294295295294294294295294295294294295294294294294294294294293293293293293294294294293294293294295294294294293293293293294293293293293293293294293293294294295294294294 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297295298298298297297298298298299299298299298298299300300300300297297297296297296294294293292290291291292291999290292292291291290290291291292292292291291290291293293293293294294294294293294293293292292292291292292292294293294294294295295295295296295296296296296297297297297298297298298298298298298298298298298298298298298298298299299299298298298298299299299299299299299299300301301302302302300300300300300299296300301300302302301302300302302303304304304303304304304304305303305304303305306306305305306307303305306307306306306307307307307307306307307305305306306306306305305306308308305305305305305307306307307307304308307305304306304303305307306306306306306306305305305305305305303303304304304304305307302302306303305306306306306305304305305306306305305305307302304304306305305304304305304306306306306305306304305303303304304303304305304305304304304303305303305305305305305306305305305305305305304306305305304304304303304304303303303304302303304305304305306306306306304305305304304304304304304304303303303303303304304303303302302302302303303302303303303303303303302303303302301302303305304302304305304304304305304304303304303303302302302302302301302301301301302303304305303303303301303303302302302303301302303303303303303302301302301302302302302302302302302302302302302302303303303303303303303303302301301301301301300302301301300300300300301301300301301302302302301301303302303302301301300300300301301301300301301300301301300300301300300301300301300300300300300299299299300299300298299299301299299299299300300300300300300301299300301301301300300299299299299298298299298298299299299299299300299300300299299300299299299299300300300300299299299299299299299298298299298299298299299299299299299299299299299298298298298298299298298299298298298298298298298298298298298298297297297297297297297297297297297297297297297297297296296296296296296296296296296296296296296296296296295295296295296296296296296296296296296296296296295295295295295295295295295295295295295295295295295295294294295294294294294294294294294294294294294294294294294294294294294294294294295294294295295296294295295295294294294295294294295294294293293293294293293294293294293293294294293293292292293294293292292292292293292292293293293293294295293 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296297295297299299297297297297297300299299298298297299300299300299299298299298297296297294294293293291291292291290290290290289291291291291290291292291291291291291291292293293294294294293293293293292292292291291292292292292293293293294293294295295295295295296296296297297297298298298297298298298298298298298298298298298298298298298298298298298298298298298298298298299298298298299299300301301301301301300300300300300299299298300301302302300300300301303304303303303304304304305305305305303303306307307305306306306305307307306305305306306306306307307306306306305305306307306308307305306307307307304305307306305307307307307305307307307308308305304307306306307305306305307306306306306304304304304304304305306307305305305304304305306304306305305304305305306307306306307306305304304305304304303305304302305306306306306305304305304303304303303303303304305304303303304305303305304305305306305304305305305306305305304303304304304304304302304303303303304303303305305305304305304304305305304305304304304304303303303303303302302301303303303302301302301303303303302303302302303303303304302302301304303302304303302301303303303304305304303303303303302302301301301302300302300301301301302303303303303304303301303303303303301302303302302303302302302302301301302302301301302302302302301301302301303303302303303303303303303302301301303302302302302302301300300300301301301301301301302302300301301302300302301302301301300300301301301299301301300301301300301300300301300299300300300300301301300300299299299300300300300300299300300300300300300300300300299300301301301300300300299299300300300299299299299299298299300299300300300299299299299299300299299299300299300299299299299299299299299298298298298298298299299298298298299299299298298298298298298298298299298298298299298298298298298298298298298298297298297297297297297297296297297297297297297297296297296296296296296296296296296296296296296295296295295296295295295296296296296296296296296295295295295295295295295295295295295295295295295295295295295295295295295294294294294294294294294293294294293294294293294294293294294293293294294294295294294294294295294295294294294294294294294294293293293293293293293293293293293293293292292292292293293293293293292293293292293293293292293294294294 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297299298297298297298297298298297299299299299298298298298299299299298297299300299297294295293293292291291292290289289290289291292292999292290289291290290290291292293292293293294294294294293292294293293292293292291292292293293293294294294295295295296295295296296297296297297297298298298298298297298298298298298298298298298298297298297297298298298298298297298298298298298298299299300300300300300300300300300300299299299298298299300300300301300301301301302303303303304304304305304304305305305304305306306306305306306305306306307306306306306306307308308307307308307307307308307308308307307307307306306306305306306305306306305307306304306306305306306306306305305306305306305306305306305305305305304305304305305306306304304304305305305305305305305306306306306306306305306305304303303304304305304304304304305305306306305305305305304304303303304303304304303304304304305304305306306306306306305305305305305305305305305305305304304304304304304304305304305305304304305304304304304305305305305305305305304304304304303303303303303303303303303303303302303303303303303303303303303302303303302303303303302302303302303303304303303304303303303303303302302302301301302302302302302301302301301303304304303303303302303303303302302302303303303303303302302302302302302302302302302302302302302302302303303303304303304303303303303303302302302302301302302302301301301301301300300301301301301301302301301302301302301301301301300300300300300300300300300301300300300300300300300301300300300300300301300300300300299300300299299298299299300300300300300300300301300300301301300299299300299299299299299298299299299299299299299299299299299299299299299299299299299299300300299299299299299299299298298298298298298298298298298298298298298298299299298298298298298299298298299298298298298298298298298298298298298297297297297297297297297297297297297297297297297297296297296296296296296296296296296296296296296296296296296296296296296296296296296297297297296296296296296296295295295295295295295295295295295295296295295295295295294294294294293293293293293293293293293293293293293293293293293293293293293293293294294294294294294295294295295294294294294294294294294294293294293293293293293293293293292293292293292292292292293293293293293293293293293293293293 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293296297298299299298298298298298299299299299299299300299299300299299300299298299300301296295293293293293292999999999290999999999999999999999999999289289289290291292292293292293293294294294293293292293293293293293293292292293294293293294294294294295296296295296296297297297297297297298298298299298298298298298298298298298298298297298297297297298298299298298298298297298298299299299300299300300300300300300300300300300300300299299299300300301301301301301301301302303304304305305305305304306306305305305306306305306306306306306306306307306306306306307307307307308308308308308308308308308308307308307307306306306306306305305305305305305305306306306306306306306305305305305304304306306306306306305305305304304304305305305304304304304304304305305305305305305305306307305304305305303303303304303304304304303304304306305305305306305305305304303303302303304304304304304305305305306306306306306305305305305305305305305304304304304304304304303304304304304304304304303303304304304304304305305304304304304305304304304303303303303303303303303303303303302302302303302303302303302303303303302303303302302302303303303303302303303303303303303303303303302302302301301301301302301302302302302301302302303303304303303303303303303302302302302303303302302302302302302302302302302302302302302302302302303303303303303303303303303303302302302302301302302301301301301301300300300301300300301301301301300301301301301301301300300300300300300300300300299299299300300300300300300300300300300299300300300300300300300300300299299300299298299300300300300300300300300300300300301300300299300300299299299299298299299299299299299299299299299299299299299299299299299300299299299300300299299299298299299298298299299299299299298299299298298298299299299299299298299299299299299298299299299299299298298298298298299298298298297298298298298298297297298298297297297298297297297297297296296297297297297297297297297296296296296296296296296296296296296296296296297296296296296296296295295295295295295295295295295295295295295295295294294294294294293293293293293293293293293293293293293293293293293294293293293293293293294293294295294294294295295295294294294294294294293294293293293293293293293293293293293293293293293293293292292293292292292292293292293293293293293293 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299296298298300300300298297297297298299299299299300300300300300299299299300299298298300301299295293999999294999999999999999999999999999999999999999999999289290291292293293292292293293294294293293293293293293293293294293293293293293293294294295294294295295296295296296296296296297297296297297298298298298298298298298298297298298298298298297297297297298298298299298298298298299299299299299299299299299300300300300300300300300300299300300300301302302301301301301301301302303304305304305305305306306306306305305307305306307307307307307308307307307307307307307308308308308308308309308308309308308308307307307307307306306306306306306306306306305306306306306305305305305306306306306305306305305306306305305305304305304304305305304304304304304305305305305305305305306305306305304304305304303302303303304304304303304304305305305306306305305304304304303302302303303304304304305305305306306305305305306305305305305305305305304304304304304304304304304304304304304303303303303303303303304304304305304304304304304304303303303303302303303303303303302302302302302302302303302302302302302302302302302302302302302302303302303302302302303302303302303303302302302301301301301301301301301301302302302302302302303303303303303303303302303303302302303303303302302302302302302302302302302302302302302302302303303303303302302303302302302302302301301301302301301301301301300300300301301300301300299301301301301301301301301300300300300300300300300299299300299299300300300300300300300300300300300299300301300300300300300300299299300299299300300300300300301300300300301301301301300300300300300300299299299299299299299300300300300299300300299299299300300300299300300300300300300300300300299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299298298299298298298298298298298298298298298297297297297298297297297297297297297297297297296296296296296297297296296296297296296296296296296296296296296296296296296297296296296296296296296295295295295295295295295295295295295295295295294294294294293293293293293293293292293293293293293293293293293293293294294294293293294294293294293294294294294294294294294294294294294294294293293293293293293293293293293293293293293293292293293293293293292292292293293292293292292293293294 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296300299301300300298298297299297298299298298299299300300299300300300299298297295297298299299296293999999999999999999999999999999999999999999999999999999289290291293292292292292292293293293292293293293293293292293293293293293293294293294294295294294296295296296296296295296296296296296297297298298298299298298298298298298298297297297297297297297296297297297298298298298298298299299299299298298298299299300299299300300299299299299300300301301301301302301300301301301302302303304303305305305306306305306306306305306307306307307307308308308307308308308309308309309309309310309309309308308308308308308308308307307307306307307306307306306306306306306306306306306306306306306306307306306305306306306306306306305305305305305305305304305305305305306305305305305305305305305305304304304303303303303303304304303304304304305305306306305305304304304304303303303303304304304304304305305305305306306306305305305305304305304304304305304304304304304304304304303304304303303303303303303303303304304305305304304304304304304303303302303303304303303302302303302303303303303302302302302302303303302302302303303303302303302303303303303303303303303301303302302302302301301301301301301301301302302302302302302302303303303303304303303303303303302303303303302302302303302303302302302302302302302302303303303303304303303303303303303302302302302302302302302302301301301301300301301301301301301302301301300301302301301301301301300300300300300300300300300300299300301301300300301301300301301300300301300300300299300300300300300299300300300300300300300301301301301301301301301302301301301301300300300300300300299300300300300300300300300300300299300300300300300300300300300300300300300300299299299299299298298298299299299299299299299299298299299299299299299299299299299299299299299298298298298298298298298298298298298298297297297297297298297297298298297297297297297297297297297297297297297297297297296296296297296296296296296296296296296296296296296296296296296296295295295295295295295295295295295295295295295295294294294293293293293293293293293292293293293293293293293293293293294294294294294294294294294294294294294294294295294294294294294294294294294293293293293293293293293293293293293293293293293293293293293293293292292293292292292292293293293294294 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301301300300298299300299298299299299299300298298299300300300300300300300299297295292294296298297294295999999999999999999999999999999999999999999999999999999291291292292292293292293293293293293293292293294293293293293294293293294293294293294294294294294295295295295295295295295296296296296297298298298298298298298298298298298298297297297297297297296296296296296297298298298298298299299299299299299299299300300300299300299299299299299300300301301301301301301302301300300301303304304303303305305305305305305305305305306306306307307307308308308308307307308308308308308309309309309309308308308308307307307307307306307307307307306306307306306306306306307307306306306306307306306306306306306305305305305306306306305305306305305305305305305306305305306306305305304304304304305305304304303302303303302304304303303304305306305305306305305305306305305304304303303303303304304304304304305305306306305306305305305305304305305305305304304304304304304304304304304303304303303303304303303303304304304304304305304304304304304303303303303304304304303303303303302302302303303303302302302302302303303302302302303303303303303303303303302303303303302303302302302301302301301301301301301301302302302302303303303303303303303304304303303303303303303303303303303302302303303303303303303303303303303303303303303303304303304304303302303303302303302302302302302302302302302301301301301300302301302302302302301301301301301301301301300300300300300300300300300300300300300300300301301301301301300300300300300300300300301301301301300299300299299299300300300300300301300301301302301301301300300300300300300300300300300300300300300300300299300300300299299299299299300300300300300300300300300299299299299299299299299298298299299299299299299299298299299299300300299300299299299299299299299299299299298298298298298298298298297297297297298297298298297297297297297297297298297297297297297297297297297297297297297296296297296296296296296296296296296296296296296296296296296296295295295295295295295295295295295295295295295294294294293293293293293293293293293293293293293293293293293293293294294294294294294294294294294294294294294294295295294294294294294294294294294293293293293293293294293293294294294294293294294294294294294294294293293293293293293293293293293294294 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301302301300300299298299299299300300300301299300300299301301300300298297297295293292293294294295999999999999999999999999999999999999999999999999999999999292291292293293293293293293294293293293293293294294293294294294294294294295294294294294294294294294294295295295295295295295296296297297297297297298298297298298298297298298298298297297296297297297297296296296297297298298298298299298299298298299299300300300299299300299299300299300300300301301300301301300300300301300300301303303303301304305305305305305305305305306306307307308307307308308308308308308308308308308309309309309308308308308308308307307307307307307308307307307307306306306306306306306306306305306306306306305306306305305305305305306306306306305305305305304304304305305305305305305305304304304304304303304304303303303303303302302302303303303304305305305305306306305305305304305304304304303303303303304304304305305305305305306305305305305304304304305305304304303304304304304304304304304303303303303303304303303303304304304304304304304304304304304303304303303304304304303303303302302302302302303303302302302303303303303303303303303302303303303303303303303303302302302302302302302301302302302302301302301302302302303302303303303303303303304304304303303303303303303303303302302302302302302302303303303302303302302303303303303303303303303302303303303302302302302302302302302301301301301301301301301301301302302302301301301301301300300300300300300300300300300300300300300301300300300300300300301301300301300300300299300301300301301300301300300299299300300299299300300300301301301301301301301301301300301300300300300300300300300300300300300300300300300300300300300299300300300300300300300300300300299299299299299299299299299298298299299299299299299299299299299299299299299299299300300299299299299298299298298298298298298298298297297297297297298297297297297297297297297297297297297297297297298297297297297297297297297296297296296296296296296296296296296296296296296296296296296296295295295295295295295295295296296296295295294294294294293293293293293293293293293293293293293293293293293294294294294294294295294294295295295295295295295295295296295295295295294294294294294294294293294294293294294294294294294294294294294294294294294293293293293293293293293293293293293293294 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302301299300299299298299298299300300300301301299298298298300299297296297296294292291291291292999999999999999999999999999999999999999999999999999999999294293293294294294294294294294295294294294294294294294294294295294294294295295295295294295295295295295295294295295295294295295296296297297297297297297298297298298298298298297298298298297297297297297297297297297296296297298298299299299299298298299299300299299299300299299299299299300300300301302300301300300300300300300298301302302303303304305305304305305305305305306307307307308307307307308308308308308308308308308308308309308308308308308308307307307306307306307307307307307306306306307306306306306306306306306306306306306307306305304304305306306306306305305305305305305304305305305305305305305305304304304304304304303303303303303303302302303304303303304305305305305306306305306305305305305304304304304303303303304304304305305305305305305305305305305305304303304305304304304304304304304303304304303303303303303303303303303304304304304304304304304304304304304303303303303303303303303303303303302301303302302302302302302303303303303303303303302303302302302302302302302302302302302302302302302302302302302302302302302303303303303303303303303303303303304303303303303303303303302302302302302302302302302302302302302302303303303303303303303303302303303303303303303302302302302302302301301301301303301301301300301301301302302302302302302301301301300300301300300300299300300300300300301301301301300300300301301300300300300300300300300300300300301301301301300299299299299299300300300300301301301301301301301301301301300300300300299300300300300300300300300300300300299300300300300300300300300300300300300300300300299299299298299299298298299299299299299299299300299299299299299299299299299299299300299299299299299299298298298298298298298298298298297297297298297297297297297297297297298298297298298297298297297297297297297297297297297297297296297296296296296296296296296296296296296296296296296295295296296296296295296296296296296296296296295295294294294294294294294294294294294294294294293294294294294295295295295295295295295295295295295295295295295295295295294294294294293293293293293293293293293293293293293293294294294294294294294294294293294293293293293293293292293293293293293293294 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301300302301299299300299300300299300300299298298297296296296297296294294293292291290295999999999999999999999999999999999999999999999999999999999999295295293294294294295295295295295295294294292292293293293294294295295295295295295295295296295296296296296296295296296295295296296297297297298298298297297297298298298298298298298298299298297299298298298298298298297297297297298298299299299299299300299300300300300299299299299298300300300300300300301301301301300300300300299999300302302304304304305305304305305306306306306306307307307307308307307308308307308308308308308308309309308308308308308308308307307307307306306306306306306306306306306306306306306306305305305305306305305305305305305305306306306306306305305305305305304304304304304304304304304303303303303303303303303303303303303303303303303303304305305305304305305305305305305305305305305305304304304304303304303304304304304305305305305306305305305304304303303305305304304304304304303303303303303303303303302302303303304304304304304304304304304304304303303303303303302303304304303303303303303303302302302302303303302303303302303303302303302303302302302302302301302303302302302302303303303303302303302303302302303303303303303303303303303303303303303303303303303303302302302302302302301301301301301301301302302302302302302303303302302303303302302303302303302302302302301301301301301301300301301301301301302302302302302302302301301301301301300300301300299300300300300300300300300301300301300300300301301300300300300301300300300300300301302301301299300299299299299299300301300300300300301301301301301301301300300300300300299300300300300300300299300300299300299300300300300300300300300300300300300300300300299299299298299299299299299299299299299299299299300300300299299299299300300300299300300299299299299299299299299298298298298298298298298297298297297298297297297297297297297297298298298298298298298298298297297297298297297297297297297296296296296296296296296296296296296297297296296296296296296296296296296296296296296296295295294294294294294294293293293293293293293293293293293293293293294294294294294294295295295295295295295294294294294295294294294293293293293293293293293293293293293293293293293293294294294294294294294294294294293293293293293293293292292293293293293293294 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299300301300300300299299299299298300299298298298299297295295294294294292291291291293999999999999999999999999999999999999999999999999999999999999296295294293294294293294293294294294294293291291290290291291293294295294295295295295295295295295295295296295295295295296296295297298297298298298298297297297298297298298298298298299299299299300298298299301298299298298298298298299299300299299299300300301301301301300299299299299300300300301301301301301301301302300300300300299300301302302302304304305306305305306306306306307306306306307307308308308308308308308308308307308309308309309308308308308308307307307307307306307306307306306306306306306305305305306305304306306306306306305305305305305306306306306306306305305305305305305304304304304304304304303303303302302303303303302303302303303303304303303303305305305305304304304305305305305304305305304304304304304304304304304304304304304305305305305305305305305304304303303305305304304303303303303303303303303303303303302302303303303304304304304304304304304304304303304303303303303303302304303303302302303302302302302301302302302302303302303302302302303303303302302303303302302302302302302302302303303303303303302302302302302302302303303302303303303303303303302303303303303302302302302302301301301301301301301301301301301301302302302302302303302303302302302302302302302302302302302301301302301301302302301302302302302302302302302301301301301301301301301301301300300300300300300300300301300301302300300300301300301300301301300300300301300300301300300300301299299299300299299300300300301301301301301301301301301301301301300300300300300300300300299300300300300300300299299300300300299300300300300300300301301301300300300299299299299299299299299299299299299300300300300300300300299300300300300300300300300300300300300300300299299299299299299299299298298298298298298298298298298298298298298298298298298298298298298298298297297297297297297297297297296296296296296296296296296296296296296296296296296295296296295295296296296296295295295295295294294294294294294293293293293293293293293293293293293293293293293294294294294294294295295295295294295295294294294295294294294294293293293293293293293293293293293293293293293294294294294294294294294294294294294294294293293293293293293293293293293293294 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298300299301301300299300298299298299299299298297297298296294294293294293292291290291294293999999999999999999999999999999999999999999999999999999999295295294295294294294294294293293292292291291291290289290291292293294294295295294294295295295294294294295295296295295295295296295297297296296297297297297297297297297298298298298298297297298298297298297299299298298297297297298298299299300299299299300300302301301299299299299299300300300300300300301301301302301301301300301301300301301301302303304305306306306307308307306307306307306307307308309308308308309309309308308308309309309309309308308308308308308307307307307307307307307307306307307306306306305307307306306306306306306305306306306306306306306306306306305305305305305305304304304304304304304303302302302302302302302302302303302303303303304304304305305305305305305305305305304305305305305304305304304304304304304304304304305305305305305305305305305305305304303302304304304303303303303303304303303303303303303303303303303304304304304304303304304303303303304304303303303303303302303303302303302303302302301301302301301301301302302302302302302302303303303303303303303302302302302302302302302302303303303303303302302303302302302303303303303303302303303303303303303302302302302302302301301301301301301301301301301301302302302302302302302302302302302302302301302301301301302301301302301301302302302302302302302302301302302302301302302301301300300301300300300300300301300301300301301301301302301301301301301300300301301301301301301301300301301300300300300300299299300300300300301301301301301302302302301301301301302301301300301301300300301301300300300300300300300300300300300301301301301301301301301301301301300300300299300300300299299300300300300300300301300301301301300300300300300300300300300300300300300300300299299299299299299298298298298298298298298297297297297297297297297297297297298297297298298298298297297297297297297297297297296296296296295296296296296296296296296296296296296295295295295295295295296296295295295295295294294294294294294294293293293293293293293293293293293293293293293293294294294294294294295295295295295295295294294294294295294294294294294293294293294294294294294294293293293293294294294294294294294294294294294294294294293293293293293293293293292293293294 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299298299300299300300299298298299299298298299299297298299296294293292293293292289290292296999999999999999999999999999999999999999999999999999999999297296295295293294295294294294293292290290290290290290290290291291292293293294294294294295294295295295296296296295295295295296297297296297297297297296296296296297296297297297297297298297296297299298296297298298298298297297297297297298298298299298298299300301300300298298298298299299299299299300300300301300301301300300299298300300301301300300302302304305305305306305306306306306306306306306307307307308308308308308308308308308307307307308308308308308307308307307307307307307307307307307307307306306306306306307308307306307307306306306306307307307306306306306306306306306305306305305304304304304304304303303302302302302302303303303303303304305304305305304305306306305305305305305306305305305305305305305305305305304304304304304305305306306305306306306305306305304304304303304304305304303303303303304304304304304304304304303304303304304304304304304304304304303304304304303304304303302302303303303303303303302302302302302302302302302302302302302302302303302303303303303303303303302303302303303303303302302303304303303303303302302302302303303303303303303303303303303303303303303303303302302302302302302302302302302302302302302302302302302302302302303302302302302302302302302302302302302303302303303303302303303303303303303303303302302302302302301301302301302301302302301302302302301302302302301301302302302302301301302301302302302302301302301300301301301300300300300300300301301301301302301302301302302301302302302302302301301301301301300300301300300300300300300301300300300300301301301301301300300301300301301300300300300299299299299299299299299299299299300301300300300300300299300299299299300299299299299300300299299299299299298299298298298298297298298298297297297297297297297297297297297297297297297297297297297297297297297297297296296297296296296296296296296296296295296296296296296296296296296296295295295296296295295295294294294294294294294294294294294293293293293293293294293293293293293293293293294294294294294294295295295295295295295294294294294294294294294294294293293293294294294294294294293293293293294294294294294295295294295294294294294294293293293293293293292292292292293293 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299300300299298297298298299299300300300299298298297299298296294293292292293291290290292296292999999999999999999999999999999999999999999999999999999296296295296296295295294293293293291290289289290290289290291291291292292292293293294294295295296295295296296296297296296296297297297296297297297297296296296296297296297297296297296297296296297297297298298298297297297297296297297297298298299298299298299299300300300299298298298299299299299299301300300300300300300300299298297298300300300299299999302303305305305305305305305306306306306306306306307307307307307307307307307307307307306306307307307307306307306306306306306306306306307306306306306305306306305305306306306307306305306306306306306306306306306306305305305305305305305304304305304304304303303302302302301301302302302302303304304305305305305305305305306306306306306306306305306306305305305305305305305305304305305305305305306306306306306306306306305305304304304303304304305304304304304304304304305304304304304304303304304304305305304305304304304305304304304303304304304304303303303303303303303303303302303303302302302302302302303303303303303303303303304303304304303303303303303303303303303303302304304304303303302302302302303303303303303303303303303303303303304304303303303303303302302302302302302302302302302302302302302302302302302302302302302302302302302303302302302302302302303303302303302303302303302303302303303302302302302302301301301302301301302302302301301301301301301300301300301301301301301300300301301301301300300301301300300300300300299299300300301300301301301301301301301301301301301301301301301300300300300300300299300299300299299300300300300300300300300300300300300300300300300301300300300299299299299299299299299299299299299299300302300300300300300299299300300300299299299300299300300299299299299299299299298298298298298298298297298297297297297297297297297297297297297297297297297297297297297297296296297297297297296296296296296296296296296296296296296296296296296296296296296296296296295295295295294294294294294294294294294294294294293293293293293293293293293293293293293293294294294294295295295295295295295295295295294294294294295294294294294294294293294294294294294294294294293293294294294294294294294294294294294294294294293293293293293293293292292292293293 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300299298298299299299299299301301298298299299298298297294292293292293292292290290291293292999999999999999999999999999999999999999999999999999999295295296296296294295294294293292290290290289290290290290291291291291292292292293294294295295296296296296296297297296296296296297297297296297297297297296296297296297296297296296296296296296297296296296297298297297297297297298297298298299298299299299300300300301300300299298299300300299300300301300300300301300300300299298297298300299299299298301300302304304305305304305305306306305306306306306307306307306307306307306306306307306307306306306306306306306306306305306306306305305306305305306305305306305305306306306307306306307306306306306306306306306305305305304305304305304304304304303303303302302302301301302301302302302302303304304304303304304304304304304305304305303304305304305305304304304304303304303304304304304304304305305305305305305305305305305304304303303302302303303304304303303304303303303303303304304303303303303304304304303304303303304304304303303303304303303303304303303303303303303303303302302302302302302302302302302302302302302302302302302303302303302303303303302302302302302302303303303303302303303302302302302302303303303303303304303302302302302303302302302302302302302302301301301302302301301302302301301302302302302301301301301301302302301301302302302302302302302302303302302302302302301303302302302302302302302301301300300301301301300301301301301301301301300301301301301301300301300300300300300301301300300300300301300300300300300299300300300301300301301301302301301301301301301301301301301300300300300300300300299299299299299299299300300300300300300300300301301301301300301301300300300300300300299299299299299299299299299300300300300300301300300299299300299300299299299300300300299300299299299299299299299298298298298298298298298297297297297297297297297297297297297297297297297297297297297297297296296297297297296296297296296296296296296296296296296296296296296296296296296296296296296296295295294294294294294294294294294294294294294294293293293293293294294294293293293294293294294294294294294295295295295295295295295295294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294293293293293292293292292293 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293299299297297298300298300302298297297297297297295293291291293291291292291290291292293292999999999999999999999999999999999999999999999999999295295295295295295295295294294293291290290290289290290290290291291292292292293293292293294295295295296296296296296297297297297296296298296297296296297297297296296296297296297296297296296296297297297296297297298297297297297297298297298298298299299299299300300300301301300299300300300300299300301301301301301301300300300299299299299299300299299300300300301302304305305305305305305306306306306305306306306307307307307306306306306307307306305305306305306306306306305305305305305305304304305305306305305305305306306306306307307307307307307306306306306306305305305305304304304304304303303303303303303302301301302301301302301302302303303304303303304303303303304304304304304304303304304304304304304303303303303303303304304303304304305304304304304305305305305304304304303303303303302302303303303303303302303302303303304304304304303303303304304304304304303304303303304303303303302303303303303303302302302302302302302302302302302301301301302302302302302302302301302302302303302303303303302302302302302302302302302301303302302302303303303302302302302302302303303303303302301302302302302302302301302302302302301301301301302301302302301302301301301302301301301301301302302301301302302302302302302302302303302303302302302302301302302302302302302301302301300300300300301300301301300301300301301301301300301300300300300300300300300300300300300300300300299299299300300300299300300301300301301301301301301301301301301300300300301301301300300300300300300299299299299299299299299300300300300300300300301301301301301300300300300300300300300299299300300299299299299299300300300300300300301301301300300299299300300300300300300300300299299299299299299299298298298298298298298298297297297297297297297297297297297297297297297297297297297297297297297297297296297297297296296296296296296296296296296296296296296296296296296296296296296296296295295295294294294294294294294294294294294294294293293293293293294294294294293293293293294294294294294294294294295295295295295295295294295294294294294294294294294295294294294294294294294294294294294294294294294294294294294294294293294294294294294294294294293293293293293293293 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302300299298299298300301300297297298297295295293292291292291293292293292291291292293294999999999999999999999999999999999999999999999294295295295295295295293294294293293292291290289289290290290290290291292292293292292292291292292294295295296296296296297297297297296297297298298297295295297297297296296296297297296296297297297297297297297297297297298298298298298297298299299298299299301299300300300301301301300301300300299300300300300300301302302301300300299298298298299299300300301300300300299300303304304304305305305306305306305305305306306306306306306306306306306306306306306306306305306306306306305305305305305305304305305305305305305305305306306306306307307307307307307306306305305305305305305305305304304304303303303303303302302302301301301301301301302302302302303303303303303303303302303303303304303303303304304304304303303303303303303303303303303303304305304305304304304305305304305304304304303302303302302302302302303303303303303303303303303304304304303303303303304304303303303303303302303303303303303303302302302302302302302301302301302301301302302302302301302302302302302302302302302302302302303302303303302302302302302302302302302302302302301302302302301302302302302302302302302303303301302302301302302302302302302302302302302302301301301302302301302301301301301301301301301301301301302301301301302302302302302302302302301302302301302302302302302301302302301301301301300299300300300300301300300301300301301300300300300300300300300300300300300299300300300300301300300300300300301300301300301301301301301301301301301301301301300301300300300300301300300300300300299299299299299299299300300300300300300300300300300300301301300300300300300300300300300300300300300300300300300300300300300300301301301301300300300300300300300299300300300299299299299299299298298298298298298298298298298298298298298297297297297297297297297297297297297297297297297297297297296296296296296296296296296296296296296296296296296296296296296296296296296296296296296296296295295295294295294294294294294294294294294294294293293293293293293294294294294293293293294294294294294294294295295295295295295295295295295294294294294294295294294294294295295294294294294294294294294294294294294294294293293293293293293294294294294294294294293293293292293293293 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302300298299299301298297299298296298295295293291292291293293293293294294292294293294296999999999999999999999999999999999999999999295295296295296295294294294294294293293291290290290290291290291290291291292292293292292291292292292293293294296295296296296297297297297297297297297297296297297296296296296296297296296296297296297297297297297297297297298298298298299298299299298297298299300300301301301301301300300300300300300300300299300300301302301301301999999999999297298299299300300301300300298299302303304304304305305305305305305306306306306306306306305306306306306306306305306306305306306306306306306306305305305305304305305305305305305306305305306306306307306307306306306305304304305305304304304305304304303303303303303303302302302301301301301301302302301302303302303303303303303304304303303303303303303303303303304303303303303303303303303303303303303303304304304304304304304304304304304304304304302302302302302303302302302303303303303303303303304304303303304303303303303304304304304303303303302302303302303302302302302302301302302301301301301300301301302302302302302302302302302302302302302302302302302303302302302302302302302302302302302301302302301302302302302302302302302303302302302302302302302303302302302302302302301302302302302302302302302301301302302301301301301302301301301300301301301301301302301301301302302303302302302302302302302301301301301301301301301301301300300300299300300300301300300301301301301301300301300300300300300300299299300300300300299300299300300300300300301300302300301301301301301302302301301301301301301300300300300300301300300300300300300299299299299299299300300300300300300300300300300300300300300300300300300300300300300300300300300300300300299300300300300301301301301300300301300299300300300299299299299299299298298298298298298298298298298298298298298298298298298297297297297297297297297297297297297297297297297297297297296296296296296297296296296296296296296296296296295296296296296296296296296296296296296295295295295295294294294294294294294294294294294294294294294294293293294294294294294294294294294294294294295294294294295295295295295295295295294294295294294294294294294294294295295294295295295295294294294294294294294294294294293293293293293293293293294293293293293293292292293293293 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305302300300301301299299298297297295295293291293293294293293293294294294295295293294296999999999999999999999999999999999999296295295295295296295296294294295295294293292292291291291291291291291291292293293293291292292292292292292293294295296296296297297297297296295296297296298297296297297296296297296296297297297297297296297298297297297297298299299299298298299299299300299299299299300301301301301300300300300300300300300300299299301300301302999999999999999999999999298298300299301300299999298300302304304304303305305305305305305305305305306306306306305305306305306306306305305305306306305305306305305305305306305305305306305305305305305306306306306306306306305306306306306305305305305304304304304303303302303304303303303303303302302301301301302302302302303303303303302302303303303304304304303304304303303303303303303303303303303303303303303303303302304305305303304304304304304304304304304304303303303303303302302302301302303303304304303304304305304304304304303303303304303303303303303303303302302302302302302302302302302302302301302301301300301300300301301301301302302302302302302302302301302302302302302302303302302301302302302302302302301301302302302302303303303302302302302302302303302303302302302301302302302302302302302302302302302302302302302301301301302302301302302302301301301301301302301301301301302301302303303302302302301302302302301301301301301300299300301300300300300301301301300301301301300302301301300300301300300300300300300300299300299300300299300300300300300300300300301301301302301301301301302301301301301301300301301301301301300301300300300300300300299299299299299299300299300300300300300300300300300300300300300300300300300300300300300300300300300299300300300300300300301300301300300300300300299299299299299299299299298299299299299298298298298298298298298298298298298298298298297297297297297297297296297297297297297297297297297297296296296296296296296296296296296296296296296296296296296296296296296296296296296296296296296295295295294295294294294294294294294294294294294294294294294293294294294294294294294294294294294294294294295295295295295295295295295294294294294294294294294294294294294294294295295295294294294294294294294294294294294294294293293293293293293293293293293293293293293293292292293293 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305303301300300300298299298298297294291290292293293296296294295295294294294295295295294295294999999999999999999298296295294296296296296295295296295294294294294294293291291292291291290291291291292293293292292292292292292292292293293294296296296296296297297296297297297298297297297297296296295296296297299298297298297298298298297298298298298299299299300299298300299298298298299299300301301300300300300301300300300300301301300300300300301302999999999999999999999999999999300301301301301999999300302303303303303304304305305305305304304305305305305306305305305306306305306305305306305306305305305305305305305305304304305305305305306305305305306306305305305304305305304305305305305304304304305304304303303303303303303304303303302302301301301301301302302302303303303302302302303302303303303304303303303303303303303303303303303303303303303303303303303303304304304304304304304304304304305303304303303303303303302303302302302302302303303303303304304304304304304304303302303303303303303303303303302303302302302302302302302302303303302301301301301301300301300301301301301301302302302302302301302301301302301301302302302302302301302302302302302301301301302302302302302302303303303302302302302302303303303303302302302302302302302302302301302302302302302302302301301301302301302301301302301302301301301301301301301301301301302302302302302302302302301301301300300301300300300300300301300300300300301300300300301301302302300300300300300300300300300300300300299298298299299299300300300300300300300301302302301301301301301302302301301301301301301301301301301301300301301300300300299299299299298299299299300300300300300300300300300300300300300300300300300300300300300300300299300300299300300300300300300300300300301300300300299299299299299299299299299299298298298299299298299299299298298298298298298298298298298298298298297297297297297297297297297297297297297297297297297296296296296296296296296296296296296296296296296296296296296296296296296296296296296296295295295295295295294294294294294294294294294294294294294294294293294294294294294294294294294294294294294294295294295294295295295294295294294294294294294294294294294294294294294295295295295294294295294294294294294294294294293293293293293293293293293293293293293293293293292292292292 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300300299299300299299299299298294292292293293295294296294297297297296295294295296296295295293293295294999999294294294294295296296296296296296295295295295295294293291291291292290290291292292293293292291292291291291292292292293293294295296295297296296295297297297297297296296296296295296296295296296297296296297298297298297297298298298298299299299299298298299299297298299299299299300300299299301301301301301301301301301300300300300300300999999999999999999999999999999999999999999999999999301301303303302303304304305305304305305305305305305305305305306305306306306305305305306306306306304305305305305305305305305305305304305305305305305305305305305303304305305305305305304305304304304304304304303303303303303303303302302302301301301302301301302302302302303302303302302302302302302303303303303303303303303303303303303303303303303303303303303303303303304304304304304304304304304304304304303304304303303303303303302302302302302303303303304304304304304304304302302303303303303303303303302302302302302302302302301302302302302301302301301302301301300300300300301301301301301302302302301301301301301301302301301302302302302302302302302302301301301302302302302302302302302303303303303302302303302302302302302301301301301301302302301302302302302302302302302301301302302301302301301301301301301301301301301301301301301301302302302302301301301301300300300300300300300300300300300300299300300300300300300300301302301300300300300300299300300300300300299299298298299299299300300300300300300300301302301301302302302301302302301301301301301300301301300300301300301300300300300300299299299299299300300300301301300300300300301300300301300300300300301300300300300300299300300299300300300300300300301300301300300301300300300299299299299299299299299299299299298298298299298298299299298298298298298298298298298298298298298297297297297297297297297297297297297297296297296296296296296296296296296296296296296296296296296295295295295295295295295295296295296295296295295295295295295294295294294294294294294293294294294294294294294293294294294295295295294294294294295294294295294295295294295295295295295295294294294294294294294294294294295294294294295294294294295294294294294294294294294294293293293293293293293293293293293293293293293292292292292 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299298299300299299299299297295294295294296295296296295296296297296296297296295293295295295294293294293293293294294295295296296296296296296294295295295294293293292293292291291290291292293292291291291291291290291292293293293293294295296297297297295297296297296295296295295295295295294294297295296296296297297297297298296297298298298298298299299297298299297298297299299299299300300300301301301302302301301301301301300300300300300999999999999999999999999999999999999999999999999999300301301302302303303303304305305305304305305306305305305305305305305305306305305304305306306305305305305305305305304305305304304305305305305305304305305304305305305304303305305305304304304304304304304304303303303303302302302303302302302302302302302301302301302302302303302303303302302303303302302302303304304303303303303304303303303303303303303303303303303303304304304304304304304304304303303303304303303303303303303303303303302302302301302303303303303303304305304303302302303303303303302303302302302302301302302302302301301302302302302302301301302301301301301300300301301301301301301301301301301301301301301301302302302301301301302302302302301302302302302302302302302303302302302302303303303302302302302301302301301301301301302302302301301302302302302302302302302301301302302302302302301301302302302301301301301301301301301301301302302301302301300300300300300300300300301301301301301302300300300301301301301301302300300300300300300300300299299299299300299299299299299299300300300301301301301302302302302302303302302301302301301301301301301301301300300301301301300300300300300300299299299299300300301301300300300300300300300300300300300300300300300300300299299299299299299299299300300299300300300300300300300300300300299299298298298299299299298298299299298298298298298298298298298298298298298298298298298298298298297297297297297297297297297297297297296296297296296296296296296296296296296296296296296296296296295295295295295295295295295296296296296295295295295295295294294294294294294294294294294294294294294294294294294294294294295295295294294294294294294294294294294294294294295294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294293293293293293293293293293293293293293293292292293 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298300299299299299299299296296295296296297295296296295296297297296296297296296296295295294294294294293294294294294295295295295295295295294294294293292293292293293291292291291291292292291290290290291291290290292292292293293294295297296297296295297296297296295294295297296293295295295297296296296297297297297297297297297297298298298298298299298299298298299297299299299298301300301301302302300302301300301300300301300300300300999999999999999999999999999999999999999999999999999299300300301303303303303304304306305304304304304305304304304305305305305305306305305305305305305306305305305305305304304304304305305304304305305305305304304304304304304304304304304304303304304304303303304303303303302302303303302302302303302302302302302302302303302302303303303303303302302303303303303303304304304304303303304304303303303303303303303304303303303304304304303304304304304304303303303304303304303303303303303303303302302302302302303303303304304304304303302302303303304303303302303303302302302302302301302302302301302302302302302302302302301301301301301301302301301301301300301301301301302301301301302302302302301301301302302302302301301302302302302303302303302302302302302302302302302302301301301301301301301301301302302302302301301302302302302303302302301302302302302302301302302301301301301301301301301301301301301301301301301301302301301301301300300300300300300300301301301300301300301301301300301301301301300300300300300300299300299299299299299299299300300300300300301301300301302302302302302302302301301301301301301301301301301301301300300301300300300300300300300300299299299300300300300300300300300300300300300300300300300300300300300299299299299299299298299299299299299299299299299299299299299299299299298298297298298298298298298298298298298298298298298298298298298298297298298298298298298298298298298298297298297297297297297297297296297296296296296296296296296296296296296296296296296296296295295295295295295295295295295295295296295295295295295295294294294294294294294294294294294294294294294294294294294294294295295294294294294294294294294294294294294295294294294294294294294294294294294294294294294294294294294294294294294294294294294294293294294294294294294294294294294293293293293293293293293293293293293293293 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300300301300301299299298295297297296297296297297298298298298299297297295296296295294293294294294293294294294294294295294294293294294294293292292292291292292292291291292292292292291290290290290291291290290291291292291293294294295295295296296298297296296295294294295296296295296296297297297297297297298298297297299297298297298298299299299299298298298299300299299300300301302302301302302303302302302302302300301301301301301999999999999999999999999999999999999999999999999999298299300301302302303303303303304303304304304304304305304304305304305305305304304304304305306305305305305305305305304305304304305305305305305304304305305305305304302303304304304304303303303303303302303303302302302301302302302302302302302302303303303303302303302303303303303303303303303302303303302303303303304303303303303303303304303303302303303303303303303303303303304303304303303304304303303303303303303303302302303303303303302302303302302303302302303304304304303301302302303303302302302302302302301301302302302302302302302302302302302301302302301301301301301301302302302302301300301301301301301301302302301302301302301301301302302302303302302302302303303303303303302302302302301301301301301301301301301301301301301301301301301302302302301301301301302302302302302302302302302301301301301301301302301301301300301301301302301301301301302300301301301301301301301300301301301301301300301301301301300301301302301301301301300300300300300300300299299299299299299299300300300300300299300301301301301302302301302302302302302302302301301300300301301301301300301300301301300300300300300299300300299299300300300300301300300301301300300300300300300300300300299299299299299299299298299298299298299299299299299299300299299299299298298298298298299298298299298298298298298298298298298298298298298298298298298298298298298298298298298298298298297297297297297297297297296296296296296296296296296296296296296296296296296296296296296295295295295295295295295295295295295295295295295295295294294294294294294294294294294294294294294294294294293294294294295295294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294293293293293293294294294294294294294293293293293293293293293293293293293293293293 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300300300298299300299299297296297297297296297297297297296297297298298298298297297296294294294294293293294293294294293292292292292292292292292289290290291291292291291291290292293292291290290290291291291290290291290291292293293294295295295295297297298296295295293294293293295295296297297297298297297297297298298298298298298298298298299298299298298298298299299300299300300300301301302302302303302302302303302301301301301301999999999999999999999999999999999999999999999999999999298299300300301302302302303304304303304304304304304305304304304304305305305304304305305305306305304305306305305305305305303305305305304304304304304304304304304304304303304304302304303303303302303302302302302301301301302302302302303303303303303303303303303303303303303304304303302303303302302302302302302303303304303303303303303302303303302302302302302303303303303303303303303303302303303303303302303303303303303303303303303302303303303302302302302302303303303303302302302302302303302303302302302302301301301302302302302302302302302302302302302302301301301301301300301302302302302301301301301300301301301301300300301301301301301301301301302302303302303303303303302302303302302301301301301301300301301301301300301301300301301301302302302301301301301302301302302302302302301301301301301301301300301301301301300299301301301301301301300300301301301300301301301301301301301301301301301300300300300300301301301301301301301300300300300300300300300299299299298299299300300300300301301300301301301301301302303303302302301301301302303301302301301301301301300300301301301301300300300300300300300300300300300300300300301301301301301300300300300300300300300299299299299299299299299298298298298298298298298298298298299299299299299299298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298297297297297297297296296296296296296296296296296296296296296296296296296296296296295296295295295295295295295295295295295295295294295294295294294294294294294294294294294294294294294294294294294294294294294295295295294294294294294294294294294293294293294294294294294294294294294294294294294294294294294294294294294294293294293293293293293293293293293293294294293294293293293293293293293293293293293293293293293 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300302301300297299300299299296298297297296297297297297296296295297297298297297297295295294294294292292293292292292291290291291290290291292290289289289291290290291290291291293293292291290290291291291291291291291291291291292293295295295296296296296297296295295294294295293295293296297297297297297297297298298298298298298298298298299298298299299299299298298299300300300301301301301301302302302302303302303302301300300302302999999999999999999999999999999999999999999999999999298297298299299300301302302303303303303304305304304303304304304304304305305305305305305306305305305305305305305305305305305305304305304304304304304304304304304304303303304304304303303303302302302302301301301301301301301301302302303303303303304304304304304304304303304304304304304304303303302302302302302302303303304304304303303302303302302302302303303303303303303303303303302303303303303303302302302303302303302302303303303303304303303303303303303303303303303304302301302302303302302302302302302302302302302302301302302302302302302302302301302301301301301301301301302301302302302302301301301301301300301301301301301301301301301302301300301303303303303303303304303303303303302302301301301301300301301301301301300300300300301301301301301301301301301301301302302302302301302302301301301301300301300301301300300301300301301302301301301300301301301301301301301300301301301301301301300300300299299300300300301301301301301301300300300300300300299299299299299299300299300299299299300300300300300300300301301302302302301302301301301302302301301301301300300300300300301301301301301301301301300300300300300300300300300300300300300300300300300300299299299300299299299299298299299298298298298298298298298298298298298298298298299299298298298298298298298298298297298298298298298297298297298298298298297298298298298298298298298299298298298298298298298298298297297296296296296296296296295295296296296296296296296296296296296296296296296295295295295295295295295294295295294294295295294294294294294294294294294294294294294294294294294294294294293294295295295295294294294294294294294294293293294294293294294294294294294294294294294294294294294294294294294294293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293292292292 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303301299298300300301301299299298298298297297297296296296295295296296296295296295295294293293292292291291291291291291290290290289289290291289289290291290290290291291291292292291291290289289290290290291291291290290291291294294293295295295295296295296295294294295295295296297297295297297298297298299299299298297298298298299299299298298298298298299300299298298300300301300300300301301302301301303302301300301300300301302999999999999999999999999999999999999999999999999999297296298299299299300302302303303303303304304305303304304304304304304305305305305305305306305305305304305304304305305304305304304304304304304304304304304304304304303303303303303303303302302301301302302301301301301301301301303303303303303304304304303304303303303303304304304303304304304303303302301302302303303303304305304303303302303302303303303303303302303303303303303303302302302302303302302302302302302302302302303303303304303303303303302302302302303303303303302302301302303302302302302302302302302302302301301301301302301301301301302301301301301301301301302301302301301302302302301302302301300300301300301302301301300300301301300301301302303303303303303303302302302301301300301301301300300301300300300300300299300300301300301301301301301301301301301301301301301302302301301300300300301301300301301300300300300300301301301300301300300300300300300300300300300301301301301301300300300299299299299300301300300301301300301301300300300300300299299299300299299300299299299299300300300300300300301300301302302302302301301301301301301301301300301300300300301301301301301301301301300301301300300300300300300300300300300300300300300300300300300299299299299299298298299299299298298298298298298298299298298298299298298298298298298298298298298298297298298297297297297298298298298298298297298297298298298298298298298298298299298298299298298298297297297297296296296296296296296296295295295295295295295296296296296296296296295296295295295295295294294294294294294295294294294294294294294294294295294294294294294294294294294294294294293294294294294295295295294294294294294294294294293294293294293294294293294294294294294294293294293293294294294294294293293293293293293293292292293292293293293293293293293293293293293293293293293293293293293292292292292 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297298298299299299300299298300298297297296298297296296295294295295294294293293293293293291291290291292291290290290289290289289289289290289289290290291290290291290291291292291291290290290289290290290291291291291291291293292294295295296296297296295295294295294294296295296296297298297297297298298298298298298299299298299298299298298298298299300300299299298301301301300300300302301302301302302302301300300300301300299999999999999999999999999999999999999999999999999999999297298298299299299301302301303303304304304304304304303304304304304305304305305305305305304304304304304304304304305304304304304304304304304304303303303303304304303303302303303302302302302302302302302301301301301301302302303303303303303303304304303304304304303303304303303304304305303303303302302302303303304304304305304303302303303303302303302303303303302303303303303303302302302302302302301302301302303302302302303303302303303303304302302302302303302303303301301301301301302301301301302302302302302302302302301301301301301301301301301301301301301301301301301301302301302302302302302301302302301300301301301301301301301302301301301301301302303303303303303303303302301301301300300299300300300300300300300299300300299300300300300301301300301300301301301301301300302302301300300300300301301301301301301300301300301300300301301300301300300300300300300301300300300300300300300300300300300299300300300300299300300300301301300300300300300300300300299300299299299299299300299299299300300300301301300300301302301301301300301301301302302302301301301301301300300301300301301301301301301301301301301300300300300300300300300300300300300300300300300299299299299299299298298299298298298299298298298298298298298298298298298298298299298298298298298298298297297297297298298298298298297297297297297298298297298298298299298298298299298298298298298298297297297297297296296296296296296296295295295295295295296295296295296295296296295295295295295295295295294294294295294294294294294294294294294294294294294294294294294294294294294294293293294294294294294294295295294294294293293293293293293293293293293293293293293294294294294294294294294294293294294293293293293293293293293293292292292292292293293293293293293293293293293293293293293293293293292292292292292 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298295296298299299299298298298298298298298298298296295295294294295294294293292292292291290290289291291291291290290290289289288289289290289289289290290290290290290292292292291291290290289290289290290291290290291290292293294296296296296296296296295296295295296295295296295296297298298297297299298298299298298299298299299299300298298299300299300300300301301300300302302301300301301302301302302302302301300300300301300999999999999999999999999999999999999999999999999999999297296297298299299300301302301303303303303304304304305303303303303304304304305305304304304303304304304305304305305304304304303303303303304304304303303303304303303303302303302302301301302302301301301301301301301302302302303303304304304303304304303303303303303303303303303304304303304304304303303302303303304303304304305304303303303303302303303303302303303302303302302302301302302302302301301301302302302302301303304303303303302303303303302301302302302303302301302300301300302302302301301301302301302302302301302301301301301301301301301301301301301301301301301301301302302302302303302302302301301301300301301301301301301302301301301301301302302302302302302302302303302301301300300299299300300300299300299299299299299299299300300300300300300300300300301301301300301301301301301300301301301300301300300300300300300300300300300299299299300299300299299300300300300300300300300300301300300300300300300300301300300301300301300300300300300300300300299299300299299299299299299299299299300300300301301301301300301301301301302302301302301301302302302301301301301301301301301302301301301301301301300300300300300300300300300300300300300300300300300299299299299299299298298298298298298298298297298298298298298298298298298298298298298298298298298298298297297297297297297298298298298297297297297298298298298298298298298299299299299298298298298298297297297297297297296296296296295295295295295295295295295295295295295295295295295295295295295295295295295294294294294294294294294294294294294295294294294294294294294294294294294293293293294294294294294294295295294294294293293294293293293293293293293293293293293294293294294294294294293294294294293293293293293293293293292292292292292292292293292292293293293293293293293293293293293293293292292292292291291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296297299298298301301298298297299300297297297296295295294295296295294294293292292291290290291290290288290289289289289289289289289290289289289288289290290289290292292292292291290290289289289289290290290291291291292294295295296296296296295296295295295295296296296296295296297297298298298298299299299299299300299298299299300300298298299300301301300299300300301302303301301301302303303302302302301301301301300301301301999999999999999999999999999999999999999999999999999999294297298298299301300301302303303304303303304304303303304302303304304304304304304304305305304304305305304305305305305305304304303303304303303303303303304302303302302303303301301301301301301301301301301301301301302302303304303303304304303303303303303303303303303303303304304303304304304303303303303303303304304305304303302302303303302303303303302302302302302302301301302302302302301301301301302302302302302302303304303303304303302302301302302303303303301301301301299301301302301301300301301301302302302302302301301301301301301301301301301301301302302301301301301302301302302302301302302301301301300300301301301300301301301300300302302301302302302302302302302302301301300301300300298299299299299299299299299298299298299299299300300300300301300301302301301300300301301301300300301301300301301300300300300300300299300300300299299299300300301300300299300300300300300300300301300300300300299300300300300300300301300300301300300300301301301299299299299299299299299299298299300299300300301300300301301301302301301302301302302302301302301301300301302301301300301302301301301301301301300301301300300300301300300300300300300300300300300299300299299299299299299298298298298298298298298298298298298298298298298298298298298298297298298298298297297297297297297297297298298298298298297297298298297298297298298298298298298298298298298298298298297297297297297296296296295295295295295295295295295295295295295295295295295295295295295295295294294295295294294294294294294294294294294294294295294294295294294294294294294294294293293294293293294294294295295295294294294294293293293293293293293293293293293293293293293293294294294293293293293293293293293293292293293292292292292292292292293292293293293293292293293293293293293293293293293292292292292291291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301297300300299300299299298300300297296297296295294294295294294293293292292292291290290290289289290290288290289289288287288289289289288289289290289290290291290292293292290290290290289289289290290290290291293293294295296296296297297297296295295295295295295295296296297298297298298298298299299299300301300299299299299299299300300301303302300301300300301302302304303302301302302303303302301301301301301301301301999999999999999999999999999999999999999999999999999999999999295297299300300301302302303303304304304303303303303304304304303303304304304304303304304305304305305305305305305305303304303303303304304304303303303303303303303303302303301301301300301301301301301301302301301301301302303303303303303304303303303303304303303304303303303303303303304303305303304303303304304305304303304304303303303303304303302302302302302301302302302302302302301301301301301302301302302302302302303302303304304302303302302302302303301301301301301299300300300300300301300302301301302302302302302302301301301301301301301301301301301301301302302302302301302302301301302301302301301301301301301301301301301301300300301301302302302303302302302302302301300300300300299299298298298298298299300299299299299299300300300300300300300301301301301301301301301300300300300301301300300301300300301301301300299299300300300299300300300300300300300300301301301300300300299300300300300300301301300301300300300301300301300301300301302300300300300299299299300300298298299299300300300301300300301301301301301302302302302301301302301301301301300301301301301301302302301302301301301301301301301300300300300300300300300300299300300299299299299299299298298299298298298298298298298298298298298298298298298298298298298298297297297297297297297297297297297297297297298298298298298298298298297298297298298298298298298298298298298298298298298297297297297296296296296295295295295295295295295295295295295295295295295295294295295294295295294295294295294294294294294293294294294293294294295294294294294294294294294294294294293293294293293293294294295295295294294294294293293293293293293293293293293293293293293293293294294293293293293293293293293293293293293293293292292292292293292292293293293293293293292293293293293293293293293292292292292291291291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301300299299299299299298298298297297296295295294294294293293293293292293291291290290290290291290289289289288288288288288289289289288289290289289291291290290292292291290290290290289289289290291291291293295295296296296297296297296296295295295295294294295295296296297297298298299298298299298299300300299300301300300301300301302303303302300300301301302302302302302302302302303302301301301301301301301300291999999999999999999999999999999999999999999999999999999999999295296298298298301302302303304303304304304304303304304304304303303304304304304303304304304303305304305304304304305304304304305304304304303303303303304303302302302302302301301301301301301301301301301301301301301301303303302303303303303303303303303304303303303303303303303303302303303305304304303303304304304304304304303303303303302304303302302302302303302302302302301301301302301301301301302302302302302302301303302302304304303303303302302301302301301301301300299300299300301300300300302301301303303302302302303303301302302301301301301301301301301302301302302302301302301301302301302301301301300300301301301300301301301301300300301302303301303302302302302301301300300299299300299298298298298298299299298299299299299299300300300300300300301301301301300300301300300300300300299300299299301301302300300301300299300301300301300300300300300299299299300300301300299299300300300300300300300301301301301300300300301300301300300300300300300300300300300300299299299298298299300299299299300300300301300301301300301302301302302301301301301301301301301301301301302302301302301301301301301301301301300300300300300300300299299299299300299299299299299299298298299298298298298297297298298298298298298298298298298298297298298297298297297297297297298297297297297297297297298298298298297298297298298298297298297298298298298298297298298298298297297297297297296296295295295295295295295295294294294294294295294294294294294294294294294294295294294294294294294294294293293294294294293294294294294294294294294294294294294294294294294294294293294294294295295295294294294294293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293292292292292292292292292292293292292292292292292292292292292292292292292292292291291291291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296298297301299298298296295296295294295294295292294293292292292292292291291290290290290289289289288287289289288287287288288289288289288289291290290290290291293293291290291291291291290292292292292294295297297297298297298298296295295294295295295295295295295296296296298298299298299299299299300301300300302301301301302300302301301302302300301302301301302302302302302302303302301300300301301301300300298999999999999999999999999999999999999999999999999999999999999999297298298300301302303303303303304305305305305304303303304303304303304304304304304305304305304303304304304303304304304305304303303303304304304303304303303302302302301301301301301301301301301301301301301301302302303303303303303303303303303303303303304304303303303303303303303303303303303304303304304304304304304304304303304304303303302303302302302302302302301302301301301301301301301301302302302302302302302302303302303303303303302301301301302301301301300300299299299299300299300301301302302302303303303303303302302302302302301301301301301301301301301301302302301301301302301302302301301301301301299301301301300300300301300300300303303302302302301301301301301300300300299299298299298298298298299299299299299299299300300299299300300301300301300301300300300300300300300300299299299300301302301300301300299299301300301301300301300299300300300299299299299299300300299300300300300300300301301301301301301300301300301300300299300300300299300300300300300299300299298300299300299299300300299300300299301300302301302302301301301301301302301301301301301301301301301301301302301300300301301301300300300300300300300299299299299300299299299298298299299299299298298298298298297298298297298298297297297297297297297297297297298297297297297297298297297297297297297297297297297297298297297297297297297297297297297297298298297298297298297297297297297296296296296295295295295295295295294294294294294294294294294294293294294294294294294294294294295294294294294294294294294294294294294294294294294294294294294293294293294294294293294293293294294294294294294294293293293293293293293293293293293293293293293293293293293293293293292293293293292293293293293293292292292292292292292293292292292292292292292292293293293293292293292292291291291291291291291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300298298299298299297296295293294294293295295293294292292291292292291290290291290290289289288288288289290288288288288288288290288288288288289289290290291291292292292291292291291292292292292293294295295297296296296299297297296296295294295296295296296295294295296296296298298299299300300300301300301301301301302303302303302302303303302302302303302301301305302302302302302302302301300300300300300299298999999999999999999999999999999999999999999999999999999999999296297298298299301303303301303304303304305305304303304304304304303304304304304304304304304304304304304303304304304304304304303303303303303303303303303303303302302301301301301301301301300301301301300302301301302302303303302303303303303303303304303303303303303303303302303303303303303304304303304304303304304304304304303303304303303302302302302302301302301300301301301301301301301301301302302301302302301302302302303302303304303302302302301301301300300300299299300300299299300299300301302302302303303303303302303303302303302301301301302302301301302301302302301301301301301301301302302302302301302301300301301300300300300301301301300301303301301301301301301300301301300299299299299299299299298299299299299299299299299300300299300299300300300300300300299300300299300299299300300300300300301300300299300300299299299300300300300300301300300300299299299299298299299300300300300300300300300300300300300301300300300300300301299300300299300298300300300300300300300300298299299300299299301300299299300300301300301301301301301301301301301301301301300301301301301301301300302302301300300300300300300300299300300300300300299300300299299299299299299299299299298298298298298298298298298298298298298297297297297297297297297297298297297298297298297297297297297297297298297297297297298298297297297297297297298297297297297297298297297297297297297296296296295295295295295295295294294295294294294294294294294294294293293293293293294294294294294294294294294294294294294294294294294294294293294294293293294294293293293294294294294294294293293294294294294294294294293293293293293293293293293293293293293293293293293293293293293293293292292292293293293293293292292292292292292292292292292292292292292292292292292293292293292292292292291291291291291291291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297297299297297296297296293293294295295294293293292292292292293291291291291290290290289289287289288289288289289289289289290287289289289290290290290292291292292292293292292292293293293294293294294296296296296295296297296296296296296296296295296296295296295297297298297298299299300301301301301301301302301302301302302303301301302301301302303304302301304303302302302302302303301301300300299300300299999999999999999999999999999999999999999999999999999999999999296297298298298300302302302303303303303304304305304303303304304303304305305304304304304304304304304304304304305304304303304304303304303304303304303303302302302301301301301300302301301301301301301301302302302301302302303303303303303303303304303303303303303302302302302302302303303303303304304304304304304304304303303302303303303303302302302302301302302301301301301301301301301301302302302301302302302301301302302302303303303303302300301301301300299299299299300300299299299299299300301302302302302303302303302302303303303302301302301302302302301302302302301301301301301301301301301302302302302301301301301301300300300300300301300302302302301300301300300301300301300300300299298299298298299298298299298299299299299299299300300299299300300299300300299299299300299299300299300299300300300301300300300299300299299299300301300300300300300300300300299299299300300298299299301300300300300300300300301300300300300300301301300299299299301300300299300300299299300300300300299300300300299300299298299301301301302301301301301301302301301301302301301301301301301301301302302302302302300300300301301301300300300300300300300300300300300299299300299299299299299298298298298298298298298298298298298298297297297297297298297297297297297297297298298298297297297297297297297297297298297297298297297297297297297297297297297297297297297297297297296296296296296295295295295295294294295294294294294294294293294293293293293293293293293293294294294294294294294294294294294294294294294294294294294294294293294294294294293294294294294294294293293293294294294294294294294293293293293293293293293293293293293293293293293293293293293293293293293292293293293293293293293292292292292292292292292292292292292292292292292293293293292292292292291291291291291291291291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300298298298298297295295294295295294294293292291293293292291291291290291290290289289289289289287288288289289289290289289289291290290291291291292291292292293292293292293293294293294293294295295295296295296296296296296296296296297296295296296295295296296295297296298299299299301300301302300300300300301302301301300301301301301301301304303301301303304302303302302302302301301301299300300298999999999999999999999999999999999999999999999999999999999999999297298297297298300301302302302303303303303304304303304304305304304304305304304305304304304304304303303304304304305304303303303304304304303304304303303302302302301302301302302301301301300301301301301301301302301302302303304303303303303304303303303303303303302303304303303303302303303303304304304304304304304304304304303302303303303302303303301302301301302302302302302302300302301302301301301302302302302301302301302303303302303302302301301301300300299299299299300299299299299299300301302302302302303303302303303302303303302302302302301302302302302302302302302301301302301301301301302302301301301301301301300300299300300301301301302303302301301302301301300300299300299300299300300300298299300299299299299299299299300298299299300299300300300300300300300299299299299299300300300301300301300299300300300300300300300301301300300301300300300300300299299299299299299299299300299300301301301301301300301301300300301300300300300300300300300300301300300301300300301300300300299299299299299299299300301301301301301301301301301301301301302301301301300301301301302301302301302302301300300301300300300300299300299300300300300300299300299299299299299299299298298298298298298298298298297297298297298297297297297297297297297297297297297297298298297297297297297297297297297297298298298298297297297297297297297297297297297296297297297297296296296296296295295295295295294294294294294294294294294293293293293293293293293293293293293293293293294294294294294294293293294294294293293293294294293293293293293293293293294293294294294294294294294294294294294294294294293294294294293294293293293293293293293294294293293293293293293293293293293293293293293293293292292292292292292292292292292292292292292292292293293293292292292292292291291291291291291291291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298299300298297295294294293294293294293293292292292292291291291290291291290289289289289289289289288288288290290289290288290289291291292292292292293292292291291291293293293294294295295296295297294295296297296296297297296297298296296295296296296296296296297297297299299299300300299300300301301300300300299300300300300300300300301303302302302302302303302303301302302302301302300300300298999999999999999999999999999999999999999999999999999999999999297296297296297298299301301302302302302302303303303303303304305305304304304304304305304304303304304304304303304305304304304304303304303303303304304303303303303302301302302302302301301301301301301301300300301301301301302303303302302302303303303303303303303303303303303303302302302302303303303303304303303304304304304303302302302302302303303302302301301301302303302302301302302302302301301301301302302301301302301302302302302303302303302300301301300299300299299299300299299299299299300301302302302303302302302302303303303303302303302301302302302302302302302302301302301301301302301302302301301301301301301301300300300301301301301302301302302301301302301300300300300300300299299300300300300300299299299299299299299299299299299299300300300300299299300299299299299299299298299300300300300300300300300300300300300300300301300300300299299299300300299299299298299298300299299298299299300300300300300300299300300300300300299299299299300300299300300300300300300300300300301300300300299299299300300300301300301301301300299301301301301301301301301300299301301301302302301301302302301301301301300299300299300300300300300300300299299299299300299300299299298298298298298298298298298297297297298297297297298297297297297297297297297297298297297297298298297297297297297297297297297298297298297297297297297297296296297296296296296296296296296296296295295295295295295294294294294294294294294294294293293293293293293293293293293293293293293293294294293294294294294294294294294294294294294293293294293293293293293294294294294294294294294294295295294294294294294294293293294294294294293293293293293293293293293293293293293294293293293293293293293293293293293292292292292292292292292292292292292292292292293293293293292292291292292291291291291291291291291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300299299297295294293293294293295294293291292292292292292291292290290289290289289289289288288289288289290289289289289289289291291291292292292292292292292291293292292293293294295296296295295295296295296297296297296297296297295296297296297297296296297297298299299299298299300300300300300300300301300300300300300301300299300302301302301302304301302302302302302302300301302300299299296999999999999999999999999999999999999999999999999999999999999296298299298297299299301300302302301301302302305303304305304304305304304304304303303304304304303304304304304304305305304304304304304304304304304304303303303302303302301301301301301302301302301301301301301301301300301301301301302302303303303303303303303303303304303303303302302302303303303303303304303304303304304304303302302302302302302302302301302302302302303303302302302302302302301302301301301301301301301302302302302303302303302301301301300300298299298298299299299299298298298300301302301302302301302302302302303302303302302301301302302302302302301301301301301301300300300301301301301300300300300300300300301301300301301301302302302302301301301301300301301299299300299299299300300299299299299299299299299299299299299300300300300300300300300300299299299299300299299299300300299299299300300300300300300300300300300300300299299299299300299299299298300299300301300300300299299300300301301301301301299300300300299299298299299300300300300300300300299299299300301301301300300300300301300300300300301300301301300299300301301300300300300301301300301300301302301301301302301301300300300300300300300299300299299299299299299299299299299299299299298298298298298298297298298298297297297297297297297297297297297297297297297297297297297297297297297297297297297297297297297298298297298298297298297297297297297296297297296296296296296296296295296295295295295295294294294294294294294294294293293293293293293293293293293293293292292293293293293293294294294294294294294294294294294294294293293293293293293293293294294294294294294295295295295295294294294293294294294294294294294294293293293293293293293293293294293293293293293293293293293293293293293292292292292292292292292292292292292292292292292292292292293292291291292292291291291292291291291291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299298298296293294293292294294293291291292292291292292291292291291290290289289289289288288289290291291289289289291290291292291291292293292292293293293293293293294295295295296295294295297296297297297295296296296296296295295296296296296296298297298297298298300300299300299299299299299300299299299300301300300301300301301301301302303302302302301301302301303302302302301299299296999999999999999999999999999999999999999999999999999999999296298298299299298299300300300301302301302302302302304305305304306305304305304304304302304304304305304304304304304304304304304304304304304304304303304303302302302301301301301301301301301301301301301301301301301301301301301301302302302302303303303304303303303303303303303303302302302302302303303303303303303304304304303303303302302303301302301301302302302302303303302303303303302302301302302301300301301301301302302302302302302302303303302301302300300299300298298299299299299299299299300301302301302302301302301302302303302301301302301301302302302302302302301301301302302301300299301301301301300300301301300301301301301301301302301301302302301301301300301301301301301300300299299299299300299299299299299299299299299299300299299300300300300300299300300301300299299300300299300300300299299299299299300300300300301300300300300299299299299300299300300299299300300300300301301300301300300300300303301301301301300299299300299298298300299300300300301300299300300300300301301301301300300301300300301300300300301301300300300300301300300300300300301300300301299300301302302301301301301301300300300300300300300300300299299299299299300300300299299299299299299299299299299298298298298298297298297297298298297298297297297297297297297297297297297297296297297297297298297297297297297297298297297297297297297297297296296296296296296296295296296296295295295295294294294294294294294294294294294293293293293293293293293293293293292293292293293293293293293294294294294294294294294294293293293293293293293293293293293293294294294294294294294295295295295294294294294294293294294293294294293293293293294293293293294294294293293293293293293293293293293293293292292292292292292292292292292292291292292292292292292292293292292291291291292291291291291291291291292 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295298297296293294295293294293292291291291292292290292292291292291290290290290290290289289290291290290289290290291290291295292291292292291294294294294294294294294295296296296295295296297297297296295294294294295295295295295296297296297297296297298298297298300300301300300300300300301301300301300301300299300301301301301301301301302302302302302302303303303303302999302301300297999999999999999999999999999999999999999999999999999999999296298299299297298298299299300300302303303303302304304304306305306305306304305305304304305304305304304304304304303304303304304304304304303304304304304303303302302302302301301302301301301301300301301301300300301301301300300301301302303303303303303303303303303303303303303303303302302302302303303303304304303304304304302303302303302302302302302302302302303302303303304303304303303302302302302301300301301301301302302302301302302303302303302301301301300300299297298298299298298298299299301301302301301302301302301302302302302302302301301302302301302302302301301301302301301301300301301301300301301301300300301301301301301301301302301302301302301301301301300301301300299300300299299299299299300299299299299299299299299300300299299300300300300300300300300300299300300300300299299299299299299300300300300300300300301300300300300300300300300300300299300299300299300300301300301301300300300300301301302301300300300299299300300298298301299300300299300299300300300301299300300301301300300300300300300300301301300301300300300300300300300300301301300301301301300300301301301300301302301301301301300300300300300299299299299300299300299299300299299299299299299299298298298298298298298297298297297297297297297297297297297297297297297297297297297296296297297297297297297297297298298298297297297297297297297297297296296296296296296296296295295295295295294294294294294294294294294294294293293293293293293293293293293293293293292292292293293294293293293293293293294294293293294293293293293293293293293293293293293293294294294294294295294295294294294294294293293293293293293293293293293293293294294294294294294294293293293293293293293293292293292292292293293292292292292292292291291292292291292291291292292292292292292291291291291291291291291291291291291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293292294294294293294293293291292291293292291292292292291291291290290290290291290290290291291291292291290290291292294293292293293294293294294296296295294295296296296296296296296295294294294294294294294295293294294295295297297297297297297298298298298300300301300300300299300301300300300301300300300298300301301302301301302301301302302302302301303302301301999999300300298298999999999999999999999999999999999999999999999999999999295295298299298299299299300300301301303302302303302305305305306305307307305305305304304305304304305305304304303303304303303303303304304303304304304304303302302302302302301301301302300302301300300300300300300301301300300300300301301302303303303303303303303302302302303303303303302303303303304304304304304304304304303302303303303303302302302302303303303303303303303304304303303302302302302302301301301301301301302302302302302302302302302303301301301301300299298299299299299298298299300301302302302300302302302301302302302303302302302302301301301302302302302302301301300301301301300300300301300301301300300301301301301301302301302302302302302301301301301302301301301300300300300299299300300300300300300300300300300299300300300300300300300300300300300300300300300300300299299299299299299299300300300300300300300300300300300300300300299300299300299300300300300301301301301301300300300300301301301301301300299299300298300301300299300300300300299299301300300300301300300300301301300300300300300301301301300300301301300300300300300300300300300300300300300301300301300300301300301301301300300300300301300300299299299299299300300299299299299299299300299299298298298298299298298298298298298297297297297297297297297297297297297297297297297297297296296297296297297297297297297297297297297297297297297297297296297296296296296296295295295295295295295294294294294294294294294294294293293293293293293293293293293293293293293292292293293293293293293293293293293293293293293293293293293292292292292293293293293293293294294294294294294294294294294293293293293293293293293293293293293294294293294294294293293293294293293293293293293293293292292293292292292292292292292292292292291292292292291292291291292292291292292291291291291291290290290290291291291290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296295295294294294292293291290291291293292292292290291291291290291291291290290291291291290291292292292292294292293295294294293293293292295295295296294297296295297297296296295294293293293295295295294295294294294295297297297297298298298298297297298299300301300300300299300300300300300300300300299299300301301301301301303302302302302303304303302301301301999999300298297299999999999999999999999999999999999999999999999999295295295294296298297299299300301300301301301302302303304305305306306306305305306304304304304304304304304304305304304304304305303303303304304304303304304304303302302303303303302302302301300301300301300300301300300300300300301301301301301302302303303303302303303302302302302302303302303303303303304303303304303304304304303303303303303303302302302302303303303303303304304304303303303301302302302302302302301301301302302302302302302302302302302302302301301301300300299299299299299298298299299300301301302302302301301302302302302302302302302301302301302302302302302301301301301301300301300300301300300301300301300300301301301301302302301302302303302301301301302301301302301302301301300300300300300300300300300300300300299299300300300301300300300300300300300300300300300300299299299299299300300299300300300300300301300300300300300300301300300300300300300299300299300300300301301300300300301301301301302302301300300300301299299300300301300300301300300300300300300300300300300300300300300300300301300301300303300300300301300301300301300300300300300300300300301300301300300301301301301301301301300300301300300300299299299300299299299299299299299299299299299299299298299299298298298297298298298297297297297297297297297297297297297297297297296297297296296297296296297297297297297297297297297297297297296297297297296296296295296296296295295295294295294294294294294294294294294294293293293293293293293293293293293293293293292292292293292293292292292292292293293293293293293293293293293293293292293293293293293293293293294294294294294294294294293293293293293293293293293293293293293293293293294294293293293293293293293293292292292292292292292292292292292292292292292292291291291292292292292292291291292292291292291291291291291291291291291291291291290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295295294293294292291291291290291291291291291292292293291290290291290291290290291290290289292291292292291291293294294294295294292295294294293293293294294294294295295295295293292294294295296294294295295295295295297297297298298298297296297298298299299300300299300300299300300300299299299298298298299299301301300302302301302302303303303302301301302302999999999300298999999999999999999999999999999999999999999297297295293294295295295296298299299301301302302303303301302304304303305305306305307305306306305305305304304304304304304304304304304304303303304304304304303302303304303303301301303303303303302300301301302301301301302301301300301300301302301302301302303304303303303303303302302303303303303303302303303304303304303303303303304303302303303303304303303303303303303303303303304303303304303303303302302302303303303302302301301302302302302302302302302302302303302301301300301301300300299299299299299300300301302302302302302302302302302303302302303302302303302303302303302302301300301301301300301301300300300300300300302301301301301301302301301302301302302302302301301300301301302302301301301302301300300301300301301301300300300300299299299300301300300300301300300300300301301300300299299299299299300300300300300300300300300301300300300300300300300299300300299300300299299299300299299299299300300300301301301301301301301301300300300300300301300301300300301301300301301301301301300300300300300300300301301301301301301299300300300300300300300300301300300300300300300300300300300300301301300301301301301300300300300300300299299299299299299298299299299299299299299299299299298298299298298297297297298297298297297297297297297297297296297297297297297297297297297297297297297297296297297297297297297297297297297297297297297296296296296295295295295295295294294294294294294294294294294293293293293293293293293293293293293292292292292293293293293293292292293293293292292292292293293292293293292292292292292292292293293293293293293293293293294293294293293293293293293293293293293293293293293293293293293293293293294293293293293293293292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292291291291291291291291291291291291291290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296296294294293293292292291290290291291292291291291290291292291291291291290291293292291293292291293292291294293294294293294294295295295294293294294293293294294295295294293292293294295295295294294295293293294295296297298297297297297296298298298298298299298300299299299300299298299299299298298298300300300300301300301303303303303303302302304302303999999999999999999999999999999999999999999999999999999298298296296294295294296296297298300301301302301301302302302301302305305304304306304306306307306306304305305304304304304304304304304304304304303303303304303303303303304304302302302302303302302302301301302302301302301301300301301301301301301301302302301303303303303302302303303302303303303303303303303303303303303304303303303304304303303303304303303303303303303303303302303304303304303303303303302302302303302303303302301302302302302302302302302302302302302302301301300301301301301300299299299300301302302301301303303302302302302302302302302303303303303303303303303303303302301301301300301300300300300300300300300301301301302301302302301301302302303302303303302301302302302300300300300300300302302300301301300301300301299300299300299300300300300300300300300301301301301301300299299298299299300300299299299299300300300300300300300300300299299300299300299299299299300299299299299300300299299300300301302300302302302301301300300300300299300302301301301302301300301301301300301300301300300301300301301301301301301300300300300300300299300300300300300299299299299299300299300300300300300300300300300301300300300300300300300299299299299298299298299299299299299300298299298298298298299298298298298298297298297297297297297297297297296296297297297297297296297296297297297297297296297297297297297297297297297297297297297296296296296295295295295295294294294294294293294294294294293293293293293293293292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292293293293293293293293293293293293294294294294293293293293293293293293294293293293293293293293293293293293294293293293293293293293292292292292291292292292292292292292292292291292291291292292292292292291292292292292292291291291291291291291291291291291291290290291291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294295294295294293292293291291291291291292292292292291291291292292291291291292292292290291292292292292293292295294294293294293294293295295293293294293293294294294294294293293295295295295296295295295295294294295295296298297297298298297298298298298298299299300300299300298299298298297299298297297297299298296298299298300300302303302300300301299297302999999999999999999999999999999999999999999999999295295296296294294295296296296297299300299299300301301303303302302304304302303303304306304306306307304305303304304303303303304303305304304304304303303303304303303303303302303301302304302304303301302301301303302302302301301301301302302301301301302302302301302303303303303303303303304303303303303302302303303303303303304304304304304303303304303304303303303302303303303303303303304303304303303302303304303303302301302303303302301302302302303302302302302303303303303302302300301301301300300299299300300301301301301303303303303302302302302302303302302303303303303303303303303302301300300300299300299300300299300299300300301300300301302302301302301301301302302303302302302302302301301301301300299300301301300302301301301301301300299299300300301301301301300301301300301301301301300299300299299299299300300300300300299300300300300300300300299300300299299299299299299299299299299299299299299299299299300300301301301301302302301301301301302301300300301301301301301300300301300301301300300300300301301300301300300300300301301300299300300300300300300300300299299299299299300300299299300300300300300300300300300300300300300300300299299299298299298298298298299298299299298298299299298298298298297297297297297297297297298297297296297297296296296296296296296296296296296296296296296296296296296297297297297297297296296296296296296296296295295295295295295295294294294294293294293294293293293293293293293293292293293293292292292293292293292293293292292292292292292292292292292292292292292292292292292293293293293293293293293293293293293293293293294294293293293293293293293293293294293293293293293293293293293293293293293293293293293293292292292292291291292292292292292292291292292292291292292292292292292292291292292292292293292292292292291291291291291291291290290290290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294295295295295293293291292290291291292292292293292291291292292292293292293292292292293293293292292293295295295294293294294293293295295294294293294294293292293294294294295296296295296295295295295295295295295295296297296297297297297299299299299299299300300300299300299299299299299298299297297298298298298298299298300299300301300300300301300298298999999999999999999999999999999999999999999999999999296296292292293294297297297300300301299300299302302302303301302302300303302303303305304305306307306305304303304303303303302302302303304303303303303303303302303302303303303302301301302301301301301301301301302301301301301300301301301301300301301301301301301303303303303303303303303304303303303302303302302303303303304303304305304303304305304305303303303303302302302303303303304303303303304304304304303303303303302302302302302302302303303303302302303303302303303302302302301301301300299299300300301301302302303302303303302302302302302302303302303303303303303303303302303301302301301299299300299299300300300300299300300300300301301301301301301301301303303303302302302302302301302302301301301302301301301301302301300301300300300300300300301301302300300301301301300301300300300299300300299299300300300300300300299299300300300299300299299299299299299298299298298298299299299299298298299299300299302300302302301301301301301301302301301301301300301300301301300300300300300300300300300300300300300300300300300301300300300300300299300299299299299299299299298299298299298298299299299299299299299299299299299299300300299300299299299298298298297298298298298297298298298298298298299298297297297297297297297297297297297297297296296296296296296296296296297296296296296296296296296296296296296296297297297297297297297296296296296296296295295295295295295294294294294293293293293293293293293293293293292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292293293293293293293293293293293293293293293294293292293293293293293293293293293293293293293293293293293293294293293293293293293293292292292292292292292291291291292292292292292292292292292292292292292292291291292292292292292291292291291291291290290290290290290290290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295294294294293292291291291290291291293292291292292292293293293294293294294293293293293293293293294295294295295295295295294296296295296295295295294293293294295295296297295295296296295295296296295294295295295295295296296296296296297298298298299299301299300300299298299298299299298298297297298298298299300298297299298300300298299299299300298295999999999999999999999999999999999999999999999999999295296292295294295295296299300301301299300301301302302301301302303301302302303304305304304305304305305304304303303303303303302302303303303303303303303303302303304303303302302301301301301301302303302302302301301300301301301301301301301301300301301301300300302302302302302303304304304303303303302304303303302302303303303304304304304303304304303303303303302303302302303302303303303303303303304303303303302302302302302302302303303303303303303303303302302302302302302302301301300300299299299299300301302302302302302302302302302301301301301302302302302303303302302302302302300301299298298299298299298299299300298299300298300301301301300301301300300300302302302302301301300300300299300300301300301299301301301301300300300300300300300300300301300300300300300300300299299299299299299298299298298299299299299299299299299299299299298298298298297298298299298298298297298298298298298299299299299300300301301302301301301301302301302301301300301300301301301301301301301300300300300300301300300300300300300300300300300300300299300299299299300299300299299300300300299299298298298299298299299299299299299299300299300299299299300299299299298298298298298298298298298298299298299298299298298298298298298297297297297297297297297297296297297296296296296296296296296296296296296296296296296296296296296296296296296296296296296296296295295295295295295295295295294294294294293293293293293293293293293293293293292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292293292293293293293293293293294294294293293294293293292293293293293293293293293293293293293293293293293293293293293293293293292292292292292291292291292292291291291291291291291291291291292291291291292291291291291291291292291292292291291291291291290291290289289290290289290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295294293293292291291292290290291292293292293292292293293293295294294294294294293293293293294293294295295295295296296296297297296297296297296297295296296295296295296296295295296295296297296296296296296296296296297295296296296297297298298299300300300300298299299298298298299298299298298298296297298300298298299297298298297297297296297296296999999999999999999999999999999999999999999999999295295294295295295292297296298300300301302301300300302302301302302300301302304304304304304304304303304304303303302303302303302302302302302302302302302302303303303301303303304303302302301302302303302302302301301300301301302301302301301301301301301301301301300301302302302301303303304304303303303304304303303303303303303303304305305304304304304304304304304304304303303303303304304303303304304304304304304304303303303303303303303304304304304304303303303303302303303303303302302302301300300300300301301302302302302301302303302300302302301301302302302303303303303303302302302301301300299300300299299300300299300299300299300300301301301300302301300300299301301302302301300300301301300300301301301301301301302301300301300301300300300300300300300300301300300300300300299300299298299299298299298298299299299299299299298298299299299298298298298298298298298298298298298298298298298297299299299298300301302302301301301302301302301302301301301301301301301301300301301300301299299300300300300301300300301301300300300299300300300299299300299299300300299299299300299299299298298298299299298299299298299299299299299299299299299299299298299298297297298298298298297298298299298298298298298298297298297297297298298297297297297296297297297296296296296296296296296296296296296296296296296295296296296296296296296296296296296296296296296296295295295295295295295294294294293293293293293293293293293293293293293293293292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292293293293293293293293293293293293293293293293292293292292292292293293293293293293293293293293293293293292293292292292292292292292292292291291291292291292291291291291291291291291291291290291291291291291291291291291292292292292291291291291291290290290290290289289289289290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295293293291290291291291291292292293292293292293293293293294294293293294294294293293293294293294295294295296296295296296296297297296296296297297297296296296295295295296296296295295296296297296296297297297296297297297298297297297298298298299299298298298297297300298297297297297298298298298297299299299299299299298297298298298296297295296999999999999999999999999999999999999999999999999296297295295295293294296298298301302299301300300301302302302301303300302302304304303304304304303303303303302303301302302302302302302302303302301302302302302302302303303303304303303302302302302301302301301301302301301301301301301301301301301300300301301300301302301302303303303304303304303303303303303304304303303303303303303304304304304304304304304304304304304304304304303304303303304304304304305305304304303303303303303303304304304304304303303304303303303302303303302302302302301300300300300302301301302302302301303303303302303302301302302302302302302303303302302302302301300300300299300299299299300299299299299299299300300300300300300301301300300301301301301302302301301301301300300300301301300301300300300300300302300300299300300300300300300300300299299300299299299298298298298298298298298298298299299299299298298298298298298298298298298298298298298299298298298297298297298298299299299299300300300301300300301302300302302301300301301301301301301301301301300300300300300300300300300300300300300300300300300300299299299299299299299300299299299299300299299299298298299299299299299299299298298299299299299299299298298298298298298298298298298297298298298298298299299299298298298298298298298298298297297297297297296297297296296297296296296296296296296296295296296296296296296296296296296296295296296296295295295296296296296295295295295294294293293293293293293293293293293293293293292293292292292292292292292292292292292292292292292292292292292291291291292292292292292292292292292292293293292292293293293293293293293293293293293292292292292292292292292293293292293293293293293293293292292292292292292292292292291291291292292292292291291292292291291291291291291291291291291291291291291291291291291291292292292291291291292291291291291290291290290290290289291289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294293292290291293293291292293294292292292294295294294295294294295294293294293293293294294294294294295296296296296294296296297296296296295296296296296297296296296296295296296296297296296297296297298297297297297297297297297297298298298297299298299298298299299297299297297296297297298297297297299301298298297298297297298298298298296296999999999999999999999999999999999999999999999294296294295295295293294294296297297301300300300300300301303301302302303302303303304304305305304304304304303302302301302302302302302302302301302301301302302302302303304303303303304304303303302302302301301301302301301300301302301301301301301300301302301302302301302302302303303303304303304303304304303303304304304304303304303303304304304304304304304303303303304304304304304304304304304304304304305305305304304304303303304303303304303304303304303303303304303303303303303303303303302302302301301301302302303303303302302302303303303303302302302302302303303302303303302302302302302301300299300299299298299300300300299299300300299301300300298301301301301301301300301301301301301302301301301301300300300301301301301300301302302301300300299300299300300300299299300300299300299299298298298298298298298297298298298298298298298298299299298298298298298298298298298298299299298299298298298299298298298298299300300300301301301301301301301302301301301301301300300300301301302301300300300300300300300300300300300300300300300300300299300300299300300300300300300300300299299298299298298298298298299299299299298298299299299298299299298298298298298298297298298297297297297298298298298298298298298297298298298299298297297297297296296296296296296296296295296296295295295295296295296296296296296295295295295296295295295295295295295295295296295295295295295294294294293293293293292293293293292293292292292292293292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292293293293293293292293293293293293293293293293293293293293293293292293293293293293293293293293293293293293293292293292292292292292292292292292292292292292292292292292291292291291291291291291291291291291291291291291291291291291291291291291291291290290290290290290289289289289289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292292291293293292291293295294293293294295295294295295295294294293293293293294293294294294295295294295296296295295296295296297296295297297298296295296297296297297297297296297297296296297296297297296297297297297297296297298298298299299299298298299298299298297297297297296296295296297297299297296296296296298297298297296297298297297294999999999999999999999999999999999999999999294295294294294293294294294295296297299297298298299301300301301301302302301302302302303304306303303303304303303302302301302301301301301301302301301300301302302302302302303302304303303303303301302302302301302302301301301301302301301301301301300301301300301301301301301303303303303303303303303304304303303304304305304303303302303303303304304304304303304303303304304304304304304304304304304304304304304305304304304305304304304304304304303304304303303303303303303304303303303303303302302302302302302302303303304303303303303303303303303303302301302302303303303304304302303303302302302301300300299299299298299300301301300300300300302301301300301301300301301301301301302301300301301302302302301302301302301302302301301301299301301300299298299299298298299299298299299300299299299299298297298297297298297297298298298299299299299298299298298298298298298297298298299299299298299299298298298298298299298300300299300300301301301302300300300301301301300300300301301301301301300300300300299299300300299300299300299300299299300300299299299299299299299299299299299299299299298298298298298298299298298299299299299299298298298298298298298298298297298298298298298296297296297298298298298297298298299299298298297298297296297296296296296295295296296296296295296295295295295295295295296295295295295295295295295295295295295295295295295295295295295295294294294294294293293292292292292293293293292292292292293293292292293292293293292292292292292292292292293292292292292292292292292292292292293292293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293292292292292292292292292292291291291292291291292291291291291291291291291291291291290290290290290291291291290291291291291291291292291290290290290290290289289290289289289289289289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292292292292292291291293294294294293293295294294293294294294293294294294294294294294294294295294294295296296295296295295295294294296296297297295297297298297297298297297297297297297296297297296297297297298297297297297297298299298300300300300299299298299298297298297298298297296296295299297297296296296298297298297299298297297297297295999999999999999999999999999999999999999999999293293291291291294296297297297297297297298298298300299300301301302302303302302304304305304305303304303303303302301301302301301301301301301301301301301301302302302302302302302303303303302301302301301300301302301301301301301301301300301301301301301300300300300301301302303303303302303303303303303302303303303304304303303302303303303304303303303303303303303303304304304304304304303304304304304304304304304304303304304304304303303303303303303303302302301302302303303303302302303302302302302302302302304303303302302302302303302303303303302302302302303304303304303303302302301301301300300300300299299298299301301301300300300300300301300300300301300301301301302301300300300300301301301302301301301301302301301301301301300300300300299999300299298298299299297299299298299299298298297297297296296298296297297298298298299300299299297298298297298298298298298298299298298298298298298298298298297298298299300300300300300301301302300300300301301300300300300300300301300300300300300300299300300299300300300300299299299299299299299299299299299299299299300299299298299298299298298298298298298298298299299298299299298299299299298298298297298298298297297297297297297296297298297297298297297297298298298298297298296297296296296296296296295296296296295295296295296295295295295296296295296295295295295295295295295295295295295295295295295295295295295295294294294293293293293293293293293293293293293293293293292292292293293293293293293293293293292292293293292293292292292292292292292292292292292293293293293293293293293293293293293293293293292293293292292292293293293292292292292292292292292292293292292292292292292292292291291291291291291291291291291291291291291291291291291291291290290291290290290291290290291291290291290291291290290289290290289289289289289289289289288289289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291292292292290291292293295295295294293294294294294294295294294294294294294293295294294295294294295295295294295294294294295293295295296296297296296298298297296297297297296296297296297296296295296296296297297297297299298298299298300300300299301300299299299298297296294294295295294294295295294296297297298299297298298299298297297297296294999999999999999999999999999999999999999999294292293291289292295296296296297297298298299298300299300301301301302302303303305305304304305304303304303302301301301301300300301301301301300301300301301301302302302302302303302302302302301301301301301301302301302301300300301301300301302302301300300301300300301301302302302303303303303303302303303303303303304304303303303303303304304303303303303303304304303303303304303304304304304304304304304304305305304304305305305305305304303303303303302303302303302303303303302302302302302302302302302302303303303303303302303301302302302303303302302302302303302303303303302302301300300300300301299300300300299300300300301300300300300300300300300300301301301300300300300299300300300300300300301302302302302302301301301301300300300300300299299301300300299299298298298298299297298298297297297296296297297297296297298297298299300298298297298297298298299299298299299299298298298298298298298298298298298299300300300300300301301301302301301301300301301301301300301301301300300300300300300300299301300300299300299299299299299299299299299299298299299299299299299299299299299299299299299299299298298299298298298298299299298299298299299298298298298298297298298298298297297297298298298298298297298298297297298298298297297296297297296296296296295296295296296295296296295296296295295296296295296296296295295295295295295294295295295295295295295295295294294294294293292293293292292292293293292292292292292292292292292292292292292292293292292293292292292292292293293292292292292292293292292292293292293293293293292293293293293293293293292293293292292293292293293293292293293292292292292292292292292292292292292292291291291291291291291290290290290290290290291291290290290290290290290290290290290290290290289290290290290290290290290290289289289289289289289288288288288288288288289288289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292292292291291291292294295295295294294294294294294294294293293294294294294294294294294294294293293295295294295295294296294295295295296296295296296296297297297297297296295297296295296295295296295296294297296296298298299300300299298298299299299299298297297296295295295294295295296296293294294296295297297298297297296296297297295296294296999999999999999999999999999999999999999999999293291999999291294294296296297297297297297298298299300299300300301301303304304304301302302302303303302300301301301301300300300300301300301301301301301301302301301302302303303303302303302302302302301301301302301301301300301300301302301302300301301301301301301301302302303303303302303303303303303303303304304304304304303303303304304304303301303304303304304303305305304304304304304304305305305305305305305305305305305304305304304304304303303303304303302302302302302302302303303302302303302303302303303304303303303303303303303302303303304303303303303302303302303302302301301303302302301301301299300300300301301301300301301301302301301301301300300301301301300300300300301301301301302302302302302301301301302301301301300299300300300301301301300300298298298298298297298297297297296296296297297297297297298298299299299299298297299298298299299299299299298299298298299298299298298298298299299299300300300301300301301301302301301301300301300301301301300301301300300300301299300300300301300300301300300299299299299299299299299299299299299299299299299299299299299299299299299298299299298299298298298297299298298298298298298297297298298297297297297298298297298298297297297297298298297297298297297296297297297296296296296296296296296295295295295295296295295295295295295295295295295295296295295294294294295294294294295295295295294294294294294293293292292292292292292292292292292292292292292292292292292292292292292292292293292292293293293293293293293293293292293292292293293293293293293293293293292292292293293293292292292293292292292292292292292292292292292292292292292292292292292292292292292291291291291291290291291291291290290290290290290290290290290290290290290290290290290289290290289290290290290290290289290289289289289289289288288288288288288288288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291292292292292293295295295295295295295295294295294294294295294294294294294293294294294294294293293295295295296296296297296296297296295296296295296296296296297296297295297297295295295295294293296294297297297297297298298298297297297297298298299297297296296297296295295295295296295294295296295296296297297295297296296295296296296295295999999999999999999999999999999999999999999999291292295999295295295295295297297298297297297297298299299300300301301302303304304301301302302303302302300300299301300300300299300301301301301301301301301301302301302302302303302302302302302302302301300301301301301301301301301301300301300300301300301301301301301302302302302302303302303303303304303303304304304303304303303303304305304304304303305305304305305305304305304304305305305305304305305305305305305305305305304305305304305305304303303303304304302303302302302302302302303303303303303302303303303304303302303303303304304303303303303302303302301301301303301302302302303301303301301301301300301301302303302302301301302302301301301300299301302301301300301300300301300300300301301301302302302303301302301302301301300299300300301301301300300299299298297298298297297298297296296296296297296297299298297300300300298299298298298298299298299299300299299299298299298298298299298299298299299300299300301299300300301301301301301300300300300300300300300300301300300300299299300300300299300300300300300299299299299298299299299299298299299299299299298298299299299299299298298298298298298298298297297298297298298298298298298298297297297296297297298297298297298297297297297297298298297297297297297297297296296296296295295296295296295295295295296295295296296296296296295295295295295295295294295295294294294294294294295294294294294294294293293293292293292292292292292292292292292292292292292292292292292292292292292293292292292292292292292292292292292292292292292293293293292292292292292292292292292292293292292292292292292292292292292292292292292292292292292292292292292292292292291291291291291291291291290290290290290291290290290290291290291290290290290290290289290290289289290290289290290290290290290290290290289288289290289289289289289289289288288289289289289290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292292293293292293295295295295295295295295296295294295295295295294294295293293294295295294294293295294295295297297296295295297295294295296296295295295296296296297296295297296295295295295294294294295296296297296298297298297298297298296297298298296297297295295297297295297296296296294294296296296296296295294295298296296297298296295294297298999999298297299999999999999999999999999999292293999296295295296295296298298298298296297297297298300300300301302302303302301301301302303302301301300301301300300300299300300301301300300301300301301301301302302302302302301302302302301301301301302301301301301301300300301300300301301300301301300301301302302302301302302302302303302303303303304304304304304304304303303304304305304304304305305305305305304304304304304304305305305305305305305305305305305304305304305305305305304304303303304304303303302303302302302302302302302302302302302302304303304303302303304304302303303303302302302302302300302302302301301302302302301302301300302301300302302303302301301300301301302302301301300300301301300300301300300300300300300301302301300300301301300301301301301302301300300300301300300300300299299297298298297298298297297296296296296297297298298299299299300300300298298299297298298298299299299299298299299298298298298298299299299299299299299299299300300300300300301301300301301300301301300300300300300300300300299299299299299300299299299299299299299299298298298299299299299299299299299299299299299299299299299299299298298299299299298298298299297298298298298297298298298298297297297297297298297297298298298297297297297297297297297296297297297297296296296296296296296295296295295295295295295295296296295296296296296295295295294294294295295295294293294294293294294294294294293293293293292293292292292292292292292292292292292292292292292292292292292292292292292292292292292292293292292292292292292292292293292293293293292292293292292293292292293293293293293292292292292292292292292292292292292292292292292292292292292292292291291291291291291291290290290290291291291291291291291291291291291290291290290290290290290290290291290290291290291291291292290290290290290289290290289289290289289288288288288289289289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292293294294294295296297296296296296298296295296297296296296296295295295294294296295296296296296298297297297298297297296297297296295295296296296296297297296297295296296295295295296294295294294295295294296298296296298296297296297295296297298296297297295297297295294294295294295295294296296296295296295295296296295294294297295295295295295999999999297299299999999999999999999999295294293999294295296295296296297298297296297296296296298299299300301302302302302301301303302301302301301300300300300299299300300300300300300301301301300300300300301301302301301301301301301301301301301302300301301300301301303300300300300300300300300300300300301301301301301302302302302302303303303303303304304304303304304303303303304304304304304305305304305306304305305304304305304305305304304305305305305304304304305305305305305304304303304303303303303303302302303303303303302302302302303302303303303303302303303304303303302304302303302302302302302302302302302301303302302302301301302303302302301303304303302303302301301302302301302301302300301301301302302301300300300301301302301301301300301301302301301301301300300300299300301301301301300299298298299299298298297298297297296297298297298299299299299300300300298300299298298298298299299299298298299299299298299299299299299299299299300300300299300300299300300301300301300300300300300300300300299299300300300299299299298299300298299300298299299299299299299299298298298299298298299299299298299299299298298299299298298298298298298297297298298298297297297298297297297297297298297297297297297297297297297297297297297297296297298297297297297297297296296296296295296296296295295295295295296295295296296295296296296296295295295295294294294294295295294294294294294294294293293293293293293293293292292292292292292292292292292292292292292292292292292292292292292292292292292292292294293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293292293292292292292292291291291291291291291291291291291291291291291291291291291291291290290290290290290290290289290290290289289290290290289289289289289289288288289288289288288288288288288288288288289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292292292293294295296297296297297298299297296295296296296296296296296296294294295294297296297294297297298297298297298298298298294296296298298297296295297296298296297295295295294296295295295294294294296297298298299298298298298298297296297297296297295295296297295295295294296296295296296296297296297296296296294295296295296296295294295296297999999297299300298999999999999999999295294295293295294296295295296297297297297297295298297299299299300300302302301302301300301302301302303302301300300300300299300300300300300299301301300300300299300300300301300300300300300301301301301302302300301300301301300300300299300300300300300300301301301301301301300301302302302302303302302303303304305304303303303303304304304304304304304305305305306305305305305304304304305304304305305304305305305305304304304305304305305304304304304304304303303302303303302302302302302302302303303304303303303303302303302303303302302303304302302302302301302301301301302302302302302302302301302301302303302302302302304303302302302302301303302302302302301301301300300302301300300300301301300299301300300301301302301302301302300302302301301301301301301300300300300300299298297297297297297297297297297299298299299300300300301300299298299299299298298298298299298299299299299299298299299299299300300300301300299299299299299300300300299299299300300299300300299299300299299299298299298298298298298297298298300298299299299299300299299298299298299299299299299298298298298298298299298298298297298298298298298298298298297298297297297297297298297298297297297297297297297297297298297297297297297297298297297296296297296296296296296296296296295295296296296295296296296296296296296296296295295295294295295295295295294294294294294293293293293293293293293293293293293293293293293293293293293293292293293293293293293293293293293293293293293293293293294293294294294293294294294294293293294293293293293293293293293293293293293293293293293293293293293293293293293293293292292293293293292292292292292292291291291291290290291290290290290290291290290290290290290290290290289290290289289289289289289289289288289289289289289289289289289289288288288288288288288287287287287288288288288288289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290292293293295295296297297297298298299298296295295294295295296295294295294295295294294295295297297297295296296295296298297295293296296296297296296296294295296294294294295293295295295294292293296297296295297297298299298298297296297295298299298297295294296296294294296295297296296296296296296297296297296297296294296295297298296295298296298999999298298299999999999999999999999294296295295294295296295296297297298298298297295298297299299299301302303302303303302301301302302301302302301300300301300300300301301301300300300302301300300300300300300300300300300299300301301301302302302302302301300301301301301300300301301302301301300300302301301301301301302302302301302302302303304305305305304303303303303304304304305305305305306305306306305305304305305305305305305305305305304304304304304304304304303305304304303304303303304304303303303304303302303302302303303303303302302303302303302302302302303302302302303303300302302301302302302302303303303303302303303301303301301301304302302302302303303302303304302302303303302301302301301301300300301301300301301301300300301300300301301302302303302302302302302301301300301300300300299301300298299299298298298297298298298297297299299299299299300300300298299299299300299297297297298298299299299298299298298298299299299300300300299300299299299299299300299300299300300299299300299300299300299300299299298298299298297298297299299298299299299299299299299299299299299299299299299299299299298299298299299298298298298298299298298299298299298298298298298298298298298298298298297298298298298297297298298298298298299298299298298297298298297298297297297297297297296296296296296296296296297296296297297297297297297297296296295296296295295295295295295295294294294294294294294294294294294294294294294294294294293293293293293293293292293293293293293293293293293293293293293293293293293293293293293293293293293293293293292293292292293293293292293292293293293293293292292292292292292292292292292292292292292292292292291291292291291291291291290290290290290290290290290290290290290290290290290289289289290289289289289289289289289289289289288289289288288289289288288288288287287288288288288288288288288288289289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291292294294294296296297297298298299297297296295295295295296295295295295295294294294294295296296296298296295295293294295294294292293293293295292292294294294294295292294294293293294293292292293293295294294294298298298297296297295295296297297296295293293295295294294295295295294295296296295295296295295296296295294297294295297296296297296296296296295296999999999999999999999999999292295295295296296293294297296298298299299297301299299300301301301303303303301301301301301302303303302301301301302300300301301301301300301301302302302302302301301301301301301301301300301302303303303303302302302301302301301302302302302303302303302301302301301301302302302303302303302303303303304304305305305305304305305304304305305306306306305305305306306305306305306306305306305305304305305304305305305305305306305304304305305304304304305304304304304304304304303303303304304303303303303302303302303304301302302302302302303301302302302302303303303303303305304303303304304304304303303302302304303303303303305304303305304304303303302303302302301301301302301302301300302301301302301301302301301302302302303303302302303302303302301302301302302301301301300299299299298298298299299299298298298299300300300300301300299300301301300300300298298299299299299300300300299300300299300300301301299300300300300300300299300300299300301300300301300300300300300299299299299299299298299299299299299300300300299299299299299299299300300300300299299299300300299299300300300299299299299299299299299299299299298299299299300299299299298298298298298298298298298298298298298299299299299299300299298299299298298298298298298297297296297297297297297297297296296297296296296296296296296297296296296295295294294294294294294293293293293292292292293293293293293293293293293293293293293292292292292292292292292292292292292292292292292292292293293293292293293293293292293293292292293292293293293292292292292292292292292292292293293292293293292292292292292292292292292292292292292292292292292292292291291291291291290290290290290290290289289289289290289290290290290289289289289289289289289289289289289289288289289288289289288288289289288288288288288288288288288288288288288289288288288289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292293294295297298297297298299298297297296296295295295296295294294294294294294295295296297297297297296296295294294295294294293293293295293295292293293295294294294294294293293292292292293292292293293294294297298298299297296296297297295297295294294295295295295293295295296296295295295296295296295296295295295294295294295294295294296294294296296295999999999999999999999999999999295297297298298297294999999999999296295296296296298298299298298299301300300301300300300301302302301301300301300300302301300301301300300301301301301301301301301301301300300301301300301302301302302302302302302302302303303302302302301302301302302301302301300300301301302302302303303303303302303304304304304305305304304304303304304304305305305305305306306306306306306306305306305305305305305305305305305305306305306305306306306305305304304304305305304304304304304303303302303303303303303303303303303304304302302303303303303302301302303302303303304304304303304304304304306306304303304305305303303305303304306307306305306306305304304304303302301302303302303303303302303303302302302302302301302302302303303303303303303303303303303302302302301302302301301301301301300299300299300300300299299299300300300300300300299300300301300300300300301299300300299299300301301300300298300300300300299299300300301301301301300300300300300301300300300299300299299299298299299300300298298299300300299300300301297298298298298298298298299299299298299298299299299299298298298299298299298299298299298298298298298298298298298299298297297297297298298297297297297297297297297297297297297297297297298297298298297297297297297296297297296296296296296296296296296296295296296296296296295296296296296295295295294294294294293294293294293293293292293293293293293293293293293293293292292292292292292292292292292292292292292292292292292293293292293293292292292292293293292292292292292292292292293292292292292292292292293292292293293293293293293292292292292292292292292292292292292292292292292292292292292291291291290290290290290290289289290289289290290289289290289289290289289289289289289289289289289289289288289288288288288288287289289289288288288288288288288288288288288288288288288288289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289293295295298298298297298298298297297298295295294294294294294294293294294294295296295296297296297296295296296296295293293294292295294292293291291292294293294294293293292293292291293291292294293292292293296298298296296296297299298297294294293292294295293293294295295295296295295295294295296297295295295295295295295295295294293295295295295293999999999999999999999999999999999296297297298297293999999999999999999295297297298298299299298298298299298299299298299299300301301301301300300300301301300300300300300300300301301301301301301300300301300300300300301301302301302302302303303302303302303302302302301301301301301301301301301301302301302302302303302303303302302304303303303303304304304304304303303304304304305305305305305306305305305305305305305305305305305304304303305305305305304304304305305304305304304304304302303303304303303303303303303303302303303302302302302302302302302302303303303302302301302302302303302302303303302301302303304304303304304304305305305306306305305307307306305305303303303303304302303303303303302302302301301301300302301302301300301301301302302302302300302303304303303302302302301301300300299300299299300299299297299299299299298298299299299299299299299299299299299299299299299298297297297298299299298298298298299299299300301300300301301301301301301300300300300300300299299299299299298298298298297298299298298298299299300300299298298297298298299298298298298299298298298298299298298298298298299299298298298298298299298298298298298298298298298298298298297297297297297298298297298298297297297297297297297297297298298298298298298298298297297297297297296296296296296296296295296295296295295296296296296296296296295295295295295294294294294293293293293294293293293293293293293293293293293293293293293293292293292292292292292292292292292292292292292292292292293292292292292292293293293292292292292292292292292292292292292292292292292292293293293293292293292293293293292292293293292292292292292292292292292292292292291291291291291291291290290290290289290290290290289290289290290290289289290289289289289289289289289289289289289289289289289289289289289288288288288288288288288288288288288289288288289288289288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289292295297297298298297297298297297296296295293293294294294294294295294295294295295296296295296296296295296295295295295294295294295292292292292292291294293294295293294293291292289294292292293293290292294295296297295296296295297295295294295294293293294293294294295294294294294295296294295296296295295295294294295295294295293294294292295295294999999999999999999999999999999999999297296296298999999999999999999999999299297298300298300299299298299297298298298300299300301299299299299299299300299299300300300300301301301301301301301301300300300300301301300300301302302302303302302302302302302302302302302301301302300301301301301301300302302302302302302303303303302302305305304304304304304305304305305303305304304304304304303305304304304305305305305305304305305304303305303304305305305305304304304304304304304304303303303303303302303303303304303303302303303302303302302303303302303302302302303304303303301302302302302303302302303302302301304304304304304304304305305305304306305305306306306305307305305304304304304304304304303302302301300301301301301301301302302301301302302302303303302302303303301301303303302302301301300300299301300301299299299299299299299298299299299298298298298298299299299299299300299299299299298297298298298299298298299300299300300301301300301301301301301301300300299300300299299299300299298298297297298298298299299298299298299299299299298299298298297298298299298298298298298298298298298299297297298298298298298298298299298298298298298298298298298298297297298296297297297298297298298298298298297297298297297298297297298298298298297298298298298297297297297297296296296296296296296296296296296295296296296296296296295295295295294294294294294294293293293293294293293293293293293293293293293293293293293293292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292293292292292292292292293293293293292293293292293293293293293292292293293292292292292292292292292292292292292292291291291291291290290290290290290290290290290290290290290290289289289289289289288289289289289289289289289289289289289289289289289288289288288288288288288288289288289288289289289288289289288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289291295295297298295296297298297296295295294293294295294295294294295295295296295295297295296296296296294295294297295296295294294293293292291291292291294293293293294293293293292291292292291294293291292294294295296295296297298296295296295295295292294293295295294294293293295294294296295295296296296296294293293294294296295294295294295295295298999999999999999999999999999999999999999999293298999999999999999999999999999298297999300301300300299297297999999299299300300300300300301300300300299300299299300300300300301302301301301302301301301300301301300301301302302303302303302302301302302302301302301301301302301301300301301300300301301302301301301302302302302302304304304305303303303304303305305306304305304304304304304304304304303304305305305305305306306305304305304305305305305305305304304304304304304304303303303303303303303303303303303303302303303303303302303303304303302302302302302303303303303303304303303302303302301302304302301303304304304304304304305304305304305305305305305306306307304303304304304304302304304303302303301300301301301301301301301302301301301301302303303303304303302302303303301303303302302302301301301301301299299299299299299299299299300299299298299299299299299299299299299299300299299298298297300299299299297297297299299300300301298301300301300300300300300300300299299300300300299298298299298298298299299298298298298298299298299299299299298299298299299298299299298298298299298298298299299298298298298297298298299299298298298299299298298297297298297297297297297297297297298298299298299298298298298298298298298298299298298298298298298298298296297297297296297297296296296295296296295295296296296295296296296295295295294294294294294294294294294294294293294293294293293293293293293293293292293293293293292292292292292292292292292293292292293292292292292292292292292292292292292292292292292292292292292292292292292292293292292293293293293293293292292292292292292292293292293292292292292292292291291292292291292292292291291291291291291290290290290290290290290290290290290290289289289289289289289288288289288289289288288288289289289289289289289289288288288288289289289289289289289289289289289289289289288289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291294295297297296297298298297295294295294294294295295295294294295295295295295295296295296297296296296295296296295294294292293293291292291290292291291293295294294295293294294291293292292292292292293293293294294296295297297297296297297298297296293295294295294293291294294295295295296295295296296295295294293295293294295294294294294293294296294295297999999999999999999297299298297999999999999999999295297999999999999298298999999999999999298295297999999999299300300300301300300300300299299299301301300300301301300301302302302302301301301300301301301301301302301302302302302302302302302302302302301302302302302301302302301300301302301301301300300301302302302303303304305304305303304305304305305305304304304304303305304304304304304304304304305305306306305304304304303305305306304305304304303304303303304304304305303303303303303303303303303303303303302304303304303303303303302302302302301303303302303302302303303302302302302303302303302303302304305305305305306305305305305305305306305306306306305302304304304304305305303304303303302301301300301301302302301301302301302302302303303303303303303303303303302303303302302302301301301301301300300299300299300299299300299299299298299299299299299300299299299299300298299299300298300298298299297297298299299301302301300300299299299299299299299299300299300300299298299299299299298299299299299299298298298299299299298299300298298298298298299298299299298298298298298298299298298297298298298298298299298298298298299299299299298298298298297297298298297298297297298298299299299298298298299298298298299298299298298298298298298297298297297296296295297296296296296295296295295296296296295296296295296295295295294294294294294294294294294294294293293293293293293293293293293293293292293293293293292293292292292292292292292292292292292292292292292292293292292292292292292292292292292292292292292292292292292292292292293293293293293293293292292292292293293293292293292292292292292292291291291291292291291291291291291291291290290290290290290290290290290290290290290290290290290290289289289289289289289288289289288288291291290290290290289289289289289289289289289289289289289289289289290290289289289290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295293294294295296297298298299297295296296297296296296297296295295296296296295295294296296297297297296296296296296294293294290293291293292293291292291291292294294294294293293292291291291293293294292293293293295294296295294296295294297296298297296294295295291294292292293293294294294296296295296295297295293293293294294295293293999999293294296295295296292999999999999295297298297298298297999999999999298297298999999999301299999999999999999999297297999999999298299300300298300299299299299300300300301301300301302302301301300301301302301301301302301302302302302302303303303302302302302302302302302301303304303303302302303302302301301301300300301300302302303303303303304304305304304304304304305305305304304304304305305305305305304304305305305306305305306305304304305305304304305306305304302304303304304304304304304303303304303303303303304304303304303303303303303304304304304303303303303303303304303303303302304303303302303303303304305304304303304304305305305305305305304306305305306306306306306306304304303304304304304304303303303303302302302302302301302301301301302302302302303303303303302303302303304303302301303303302302301302301300301301299300299300300300299298300300300299299299299299299299299298299299299299299299298297298302299299300301300300301300300300299299299299299299299299299300300301300299299299299299299299299299299299299299299299299298299299300300299299298298298298298298298298298298299298298298298298298298298298298298298298298298298298299299298298299298298298298298298297298298298298298298298298299298299299299298299298298298298298298298298299297297297297296297296296296296296296296295296295295295295295296295295295295295295295295295295294294294294294294294294293293293293293293293293293293293293293293293292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292293293293293293293293293293293293293293293293293292292292292292292292292292292292292292291291291292291291291291291290291290290290290290291290290290290290290290290290290289289289289289289289289289289289289289289289289288289289289289289289289289290289289290290290289290290289289290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293292294295296296296296297298296295297297297297296297297297295296296296297295296296296297296297297296295295296296295293294292293292294294295292294295294293294294293293292294291290292292291293294292293292293295295295295296296296296295295296297295296295294292292293293293293293292293295295295296295295292294294294294296293292292292290290293293292291293293290999999299296297297296297298298298999999999298299300999999999999999999999296296298298297297999999999299300300300300299298300299299299300300301302301301301301300301301301300301301301302302302302302302302302301303303303302302302303303302302302303302303302302302302302301300299300300301301301302302303301302302304305305304304305304305305305304304304304304305303305305304304304305306306305304305305305305306304305305306305306305304304303304304306304305304304304304304303304303303304304303303302302302303302303303304303303303304304303303303303303303303304304303303304304305305304305303303303305305305305305305305305305306305306306306306306306305305304305304304304303304305303303303302302301302301301302302302302303302301302303303303302303303304303302302302302302302301302302302302301301301300301301301300300299299299300299299299300299299298299298298297297299300301300300300300300298299299300300300300300300299299298299299299299299299299300300300299300299299300299299299299299299299298299299299299299299298299298298298297298298298299299299299299299299298298297298298297297297298298298298298298298298299298298298298298298298298297298298298298298298298297298298298298298299299298298298298298299298298298298298298297296297297297296296296296295296295295295295294295295295295295295295295295295295295295294294294293294294294293294293293293293293293293293293293293293293293293292292293292292292292292292293293293292292292292292293293292292292292292292292292292291292292292292292292292292292292293293292293293293293293293293293293293293292292292292292292292292292292292292291291291291291291291291291291291290291290290290290290290290290291290290290290290290290290290289290290289289288288289289288288288288289292289289289289289289289289289289289289289289290290290290290290290290289290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294293294295295296295295297297296296298298298297296297298298296295296296297295296295296296297297297296296295295296295294294293292293294292292293294293293293292294294293293293290292290291291292294293293293294294294295294294294295296294295295295294294293293292293293293293293293293293294295295295295293295293293292293295295294294292290292291292292293293292290294293296298297297296296297300299299999999999298298298999999999999999999297296298298298297999299298299299300299299299299300300299300300300300301301301301300301300301301301301301301302301302302303303302302302303304304302302302303303302302304303302303302303303303301301301300300300300301301302302303303302303304304304305304304304304305305305304303304305304305305304304304305305306305305304305305305305306305306306305305305305304305304303307304304304305303304304305303304304304303303303303302303302303303303304303303303303304304304303304303303303303304304304304304305305306304304304304304303305305305306306306305306306306306307305306306306305305304304305305305304303303303304303301301302302302302301302302302303300999302303302302303302303305303302302302301301302301302300301301301301301301301301300300300300300300300299299299299299299300299299298299298299299299300298301299300300300299299299299299299298298298299298299299299300299299299299300300300300300299299299298299299299298298299298299298298298298298298298298298298299299299300300299298299299298298297297297297297297297298298298298298298298298298298298298298298298298298298298298298298298298298298298297298298298298298298298298298298298298298298298297298297297297297296296296296296296296295295295295295296295295295295295295295295295295294294294294294294294294294293293294293293293293293293293293293293293293293293293292292293292293293293293293293293293292292292292292292292292292292292292292292292292292292292292292292292293293293292292292292293293292292292292293292292292292292292292292292292291291291291291291291291291291291291291291291291290290290290290290290290290290290290290290289290290290290290290289289289289289289289288288289288288289289290290290289289289289290290290290290290290291290290290290290289290290 999999304303298300297296300294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293293295295295295295296297295296298297297296297296297298297295297297297296295294295296296296296297295295295295294292293291292292290293293294295292292292291292293293293292292290291290290292292292291292294293293294295295295294296296297294294294291293292293293293292293293293292293294292295295295294293295294294292293294294294295292999999999999999999999290294292296297298297296999999999299299299999999298299299298298297999999999999999298297298299298298299299299298298299299300299299299300300301301301301301299300301301300300300301301301302302302302303303302302303303303303303303301303303303303304303304303302303303303303302302301301301301301301302303302302303304304303304304303304304304305304305305305304304304305305305305304305306306306305305305304305306306305306305305305305305305305304305305306303305303304304304305305304305305304303304303303303303304303303304304304304304304305304303303303303303304305305305304305305305306305305304304305304305305305306305305306306306308306306306306306306307305305306305305305304304305303303304302302302301302301303302303300302999303302302303303303303303303304304302302302302302302302302301301301301301301300301301301300300300300300300300300300300299299299299298298299299301300299298301301300298300299299298298299299299298299298299299299299299299299299300300300300300299299299298300299299299299298299298298298298298298298299299299299300300298299300300299299299299299299298297298298298298298298298298298298298298299299298298298298299298298298297298298298298298298298297298298297298299298299299298298298298299298298298297297297297297297296296296296296296296295296295295294294294295295295295295295294294294294293294294294294294294294294294293294293293293293293293293293293293293293293293292292292293292292292292293293293293292292293292292292292292292292292292292292292291292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292291291291291291291291291291291291291291291291291290291290290290290290290290290290290290290290290290290290290290290289289289288288289289289289289289289289290290290290290290290290290290290290290290290291290291291291291291290290290 296302294295295297297298296294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299293293294295295296295295296295296298297297297297297297297298296296297297296293295295296296296296295295296294295292294294292293294290291293293293294291292289294291292291291291290290291290292292292292293292292293291293294291296294296296293291292294292292292292293292292291292292293290292295294294293292292294296295295293295292294292291292999999999999999999999296295298297298297999999999298299298297999999298298297298297999999999999999297298299300298299299299298298298299300300300300300301300300301301301301300300301300300300300301301302302302302302304303303303303302302303302303303303303302303303304303302303303302303302303302302301301301301301301301300301300302304304304304303303303304305304304304304304304304304303305304304305304306305305304306305305305305305305306304305305305304305306306305306305306304304304304304305305304305303304303303303303303303303303303304304304304304304305304303303303304305305305304305305306306305305305304305305306304305305305305304306306305308308307307307307306307306306306306305305305303304304303303303301302301303303303303303301999999302302302301303303303303303302303302302302302301301301301301301299300301301301301301300301301301300300300300300300300300299299299299300299299300300299298298300298299299299298299298298299299299298299298299299299299299299298300300300300300300299299298299299300300299299298298298298297298299299300299298299299299299299300300299299299299299299298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298297298298298299298298298298298298298298298298297298297297296297296296297296296295295296296295295295295294294294294294295294295295294294295294294294294295295294294293294294294293294293293293293293293292293293293293293293293292292292292292292292292292292292293293293292292292292292292292292292292292292292292292292292292292292292292292292292293292292292292292292292292292292292292292292291291292291291291290290290291291291291291291291291291291291291290290290290290290290290290290290290290290290290290290290289290289289288289288289289289289289289289290290289290290290290290290290291290291291291291291291291290291290292291291291 299297295295291297297295295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291293295295295295295295296295296297296297296296296296297297297297296296296296296296296295295296294296295295294294293291292291293290290291294294293293291294295294292290290291289291291290292293292292293293293293293292294294294293293295293292292292292292292293293292292292292293295293294295293293292294293293294294294294294295295296294293999999999999999999999999295295296296297296999298297298299297999999296297297298298296999999999999999299297298298298299299298299298297299299300300300299299299299301300301301301300299299300300299301302302302302301304302304304303304303302302303303303304304302302304304303303303302302302302302302301302302301302302301301301301302304302303303303302303304304304303303304303303304303304304304305304303305305304304305305305305305305305306306305305305304306305307305305304306304304304304305304305304304304304304304304303303304302303303305305304304305305304304304303303304305305305305306306306306305305305304305305304305305305305304305305307306307307307308307307307307306307306306306305304305304304304304303302302302301303303303302303300302303303303302303302302302303302303302302302303302301301302300301301301301301301301301300300300301301301301300299299300300299299300300300299298298299297300299300298298299300298299299299299299298298298298299298299300299299299299300300299299299298299298299299299299299299299298299300300298298299299299300299299299299299300299299299298299298299298299298298298298298298298298298298298298298298298298298298298298298298297297298297298298298297298298298298298298297297297298297297298297297297297296297296296296296296296295295295295295295294294294295294294294294295294294294294295294295294294294294295294294294294294293293293293293293293293293293293293293293293292292292292292292292292292292292292293293292292292292292292292292292292291292291292292292292292292292292292292292292292292292292292292292292292292292292292292291291291292291291291291290290291291291291291290291291291291291290291290291291290290290290290290290290290290290291291290290290289289288288289289289289289289289289289289290290290290290290291290290290291291291291291291291291291291290291292291291290 999297295294297294293289298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291292294295294294293294294295295296297294296295295295296296296296295296296297295295296295295294296296295294293293291292293292294293292293293294294292294294295293291294291289289290290291291291291291292291292293293293293293293290292292291292292290291291292292293293291293294293294294295295294294293292293293294294293295296295296297295293294295999999999999999999297999297297298297297297295297298298297296297296296296297296999999999999999297298299297299300299299300299297298300299300298300299299299302299302302298300300299300299299302301302301303303303299302302302303302302302302304304304304304305304303303302303302302302302302302302302301301302302302301302302302303302303303302303302304304304304303303304304304304303303304304305304305305305304305305305305305305305305306307307305303305305305305304305306304305304304304305304304304304304304304304303304304304304303305304304305305304304305304304304304304305305305306306306306306305305306305305305304305306305305305307306306308307307306307307307306307307307306306305305305305305304304303302303303303304305303304304304303303302302301303302301302302301301302302302302301301301301301301302301301301302301302301300300301301300301300300300300300300299300301300299299300299299297301301300299300300300300299300300298298298298297298299299299299300299299299300300300300300300299299299299300300299298298299300300298298299299299299300299299300300300300299299299299299299299299299298299299299298298298298299298298298298298298298298299298298297297298297297297297297297298298298298298298298297298298298298297297297298297296297296296296296296295295295295295295295295295295295294294294294294294294294294294294294293293293294294294294294294293293294293293293293293293293293293293293293292292292292292292292292292292292292292292292292292292292292292292292292291291292292292292292292291292292292292292292292292292291292292292292292292292291292292292291291291291291291291291290290290290291291291291291291291290291291290291290291290291290290290290290290290290290290290290290290289289289289289288289289289289289289290290290290290290291291291291291291291291291291291292291291293292292290290291290290 999296296294293294293296287999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289289292293294293293294294294296297297295296295294294295295296296294294296296294293294293294295294296295295291292292291294294294293293292293294293293293294294295293294290292289289290290289292290292291292290292294294293293293294293291291292291290291291290291294292292292293293293293294295293294292292292293292292292296295295295295296294294295999999999999999999999999298299296298297297297298297297298296297297298999295294999999999999999999999297300300303299298301300299299299298299298298299299299299299302301298299299300300301301302302302301303302302301302302302302301303303303303304304303303303303302302303302302301302303303302302303302301301302302302302302302303303304304303302303304304304303303304304304304303304304303304304305305306304304305306305304305306306305307306306305304305304305304305305306305305304305306306305306305305305305305304304305304304304304304305304304304304305305305304303304304305305306306305305305305305306306305306305305305305305305304306307306307307308307307307307307307307307306305305305304304306305304303303304302303302303302303304304304303305304302303303302299301302302303301302301301302301300301300301302301301301302301300301300300301300300300300300298300300299301301300300300298299299298298300300300300300302300299300298300298298299297298299298298300299300300301300300301300299299299299300300300300300300299299299299299299299299299300299299299299300300300300299300299298299299299298299299299299298298298298298298298298298298297298299298298298298297297297297297297298297297298297298298298298297297298298297298297297296296297297297296296296296295295295296295295295295295295294294294294294294294294293294294294293293293293293293294294293293293293293293293293293293293293293293293293293292293292292292292292292292292292292292291292292292291293292292292292292292292292292292292292292292292292292292292292292291292291291292292291291291291291291291291291291291291291291291291290291291290291291290291291291291291291291291291291291291291290290290290289289289290290290291289290290290290289289288289289289289289289289290290290290290291291291291291291291292291292292291291291291292291290291290290291291 999297298296294294292291290999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289291292294293294295294295296298294295295295295295295295294295294295295295294293294294294294295294296293292293294294293293292292292292293293294293293293294294294294294289290290289290289290291291292292291290293294294294293292292292292291292291291292291293292293292293293292294294294294293292291292291293293294293295294294293295297296296295294999999999999999999999297298297297298297299299298297297296296298299298295295293293999999999999302999297300298298297299299299299299299299299299299299299299299298298299301299300300300300302302302303304303304304302303303302302302303301303303304303304304304303303304303303303303303303302303302303302301302302302302302303302303302303303304303304303304303304304305303304304303303303303305304303305304304305305305305305306305306305305305305304306304304306306304305305305305305306306306305305305304305305304304304304303303304305305304305305304304305305304304304304305305305305305304305306306308306304304306306306304305305305305306306306307307307307307307306306306306305305305305305305304305304304302303303304304305302304304304304303305303302302303302301301301302300300301301301302302301300301302302301301302300300301303299301301300300299300300299300299300298299299299299299299299299298300300299300301301301300300299299299299299299300299299300299300300301300300300300299300298298299299299299301299298299299299298299300300300300301299299299299299299300300299299299299299299299299298299299299298299298298298298298298298298298298298298298298297297297297297297297297298298297297297298298297298298298297298297298297297297297297297296296296295295295295295295295295295295295295295294294294294294294293293294293294294293293293293293293293293293293293293293293293293293293293293293293293293293292292292292292292292291292291292292291292292292292293292292291292292292292292292292292292292292292292292292292292291291292291291291291291291291291291291291291290291291291291291291291291290290290291290291290291291291291291291291291291292290290290291290290289290290290290292290290290290290289289289289289289290289290290290290291291291291292292292292292293292292292292292291291292291291291291291291291289 303305296294297293290291289999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290290292293294294294293296297298297294297294295295294295295295296295295295293293294293294295294293292292293293293293294293292292292292292293294294293293292292293294292291290290290292290291292292291292292292292293292293292293292290291293292292292290290293293293292292293292294294294294291292291291291292292293292294293293293295296297298296294999999999999999999999295295296296295295297298297297297297296298298298297297296296295293294295300999298300299300299301299299300299300299299299299298301300299298297298302299299302301301302301302303301304303303301304304302302303303302303303303303304305304303303303304303303302302303303303302304303302303302303302303302304303303303303304303304305304304304304303303303303304304303303303303303303303304304305305305305304304306305305305305305306306306305304305305305306305305306306306306306305304304304304304304305304304305305304304305305304305304304304305304305305305305305305305305306306307308306305305305306305305306306306306306306307306307307307307306306306306306305305305305304304305304302302304304303304303302303304305303301302301302301304302302302301301301301301302302302303303302302301301302301302302302303302302301301300299300300300302301302299299300300299300298300300300300300300300300300301300300299298298299299299298298298298299299299301300300301300300299301300299300299300301300301301300299298299299300300300300300300300300299298299299299300299299299299299299299299299299298299299299298298298298298298298298297297298298298297297297297297297297297297297297297297298297298297297298298297298297297297297297296297296296296296296295295296296295295295295296295295295295294294295295294294293293293293293293293293293292293293293293294293293293293293293293293293293293293293293293292292292292291291292292291292292291292292292292292292292292292292292293293292293293292292293292292292292292292292291292291291291291291290290290291291291291291291291290290290290291291290290290291290290290291291291291291291290291290291290290291291291290290290291291290290290290290290290290290290289289289289290290290290291291291291291291292292292292293293293293292292292292291291291291291291290289290 301299296293293295287291297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294289291291293293295296296295296296295296296294295296294294295294294293295294293293293293293293293294294292293293290292293292291292291293294294292293293292292294294293292293290290292292291289290293291292292292292293292292293292291292291293293290291291290289291291292291293293294294294295291292291291291291293292294294294294294293296296297298295999999999999999999999295296296295295295297298297297298297297297298298298295295296297295294999999999298299299299300299300299297299300300301299299299300300298297297298300300300301301302302302300302301303304303302301301302302303303303303303304303303304303302303302303303303302303303302303303303302304303303303303303303304303304304304304303304306305305304304303303304304304304304303304304303303304304304305305305305303304304304305305305305306306305305306305306306306306306308308307308306305305305305305304305305304305305305305305305305305305303304305305304305305307306304306305306307307308307306305306305306305305305305306306306306307307307307307307307307306305305305305305305305305303305304303303304303304301304302302302301302303303301302301302302301300300302301302302303302302303303302301301301300302302302302302302302302300300300300302303303301299300299300300300301301301300300299299300300299299299300300298298297299299299298299300299300302302301301302301300300301299300300299298298300300300300300299299299300300300301300300300300299299300299299299300299299299299299299298298298299298299298298298298298298298298297297297297297297297297297297297297297297297298297298297297298298297297298298298298297297297297297297297297297296297296296296296296296296296295295295295295295295294295294294294294293294293293293293293293293293293293293293293293293293293293293293294293293293293293293292292292292292292292292292292293292292292292292292292292292292292292293293293293293292292292292292292292291291291291291291291291291290291290290291290291291291291291291290290290290290291290290290290290290290291291291291290291291290291290290289290290290290290290291290290290290291290290290290290290290290290290290290291291291291291291292292292292293293293293293293292292292292291291291291291290291291 297297302299298295291290297999299303302999999999298293999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300297290291293296296297296296295296296297296296294295295296295295296295295294293293293294294293293294294294293292293291290293293292293291291293293292293290293293295295289294290291294291292291291291292292292292291292292292293292293292290290291293292292293290292293294292292293294295293293292293292293294292292293292291293293294294295296295296296296296999999999999999999296297299297295294296298298299297298298298298297297297297299299296295293999999296294291294297296300295296299300301300299299299299300298298298299300301302301301302302300301301301300300301302303301303303304303302304304304304303304304302302300303303301303303301303303303304304305303303303301302303303302302303302305305305305305305304304303304304304304304304304304304303304304304304305305305305304303304304304305303304304305304305305305306305306306306308308307306307304306306305305305305305304305305305306305305305305305305305305306305305305306306305305306306307307308307306306306305306306306305305306305305307307307306307307307307307306306305305305304304305304303304305303303303303302303303302302302302303303302300301300300301300301300301301301301301301302302301302301301301301302302302302302302303301300301301300301302302301299300300300300300300300300300300300300299299299299299300298299297298298298299299300300299301301302301301301301299301300298299299301300297300299298299299300299300300300300300300299300300299299299299299299299299299299299299299299298299298298298298298298298298298297297297297296297297297297297297297297297297297297297297298298297298298298298298298298298297298298297297297297297297297297297296296296296296296295295295295295295295295295295294294294294293293293293293292293293293293293293293293293293293293293293293293293293293293293293293292292293292292292292292292292292292292292292292292292292292292292292293292292293292292292292292292291291291292291291291291291291291291291291290291291291291291291290290290290290290290290290290290290290290290291291291291291292291292291291291290289290290290290290290290290290290290290291290290290290290291290290291291291291291291292291292292292293293293292293293293292292292292292291291291289288289290 298299299297292292294290286299291294299294295297298292293999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296294292294295296295295295295294296295295295294294293294295294294294294294293294293293293293293293295295294294294292293294293294293292294293294294293294294292295294295294293294288292292293293293292291291291291293291292291292292293293289292293292292293289290292294295294292294294293291292293293293293293291293292292293294293294294294294295295294296295999999999999999999296297297298297999297299297301300299298297298296297298298298299999293293290999295293297298298298299299293999300299299298299299299298300298299299299302302302301302301300301301301301302303302302302302303304302303304304304304303303303302301301302303303303304303303302302303302302302303303302302302303304303303303306304303305305304304304304305305305305305304304304304303303304304304305305306305304305304305306304304305306305305306307307305306308308306307308307306307306306305306306306305305305305305305306305305304305305305307306306306306306305306307306305306308307307307306305306306305305306305306306306306307307307307306306307307306305307305304305305304305304302304304303302305304302302303304303303301301302303300301301300301300301300301301302302301301301300301301301301301302302302302302303303304302303300300300300302300300300299300300301301299300301301300300299300299299299299299299298297298299298299300300299300300301301301300301300300302300299302299300300300300301299300300300301299299301301301300300300300299299299299299298299299299299298299299298298298298298298298298298297298297298297297297297297297297297297297296297297297297297297298297298298298298298298298298297298298297297297297297297297297298297297297297296296296296296295295295295295295295295295295294294294294293293293293293293293293293293293293293293293293294294293293293293293293293293293293293293293293292292292292292293293292292292292292292292292292292292292292293292292292292292292292292292292291291291291291290291291291290290291291290290290291290290290290290290290290291290290291290291290291291290291291291290292292291291290289290290289289290290291291290290290290291290290290290290290290291291291291291291292291291292292292292291291293293293293293292293293293292292291291292290289289290 299299297296292290290289287289290293292292295297297292294296297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294294294295295295295296294295295294294295293294294294294294294294294293293293293293294293293293295294294295295294292292293293293291293291295293294293293294294295296294292293294292292293292291291293290291291291292292291291291291292290292292291292292292293290293294294295295294294294294295290292292294293293293292293293293295293293293294295294295294292999999999999296298298298299299999302300300300999301302299298298298298999999299297999293292292293291999999999999999999999999999999299299299299299299299299300300300300299301301301301302301300300300301302303303301303304304303304304304304304304303303302301302303303304304304302302301303303302304302301302302303304303305304304303304304305304304304304304304305305305305305304304304304304304304304304305305305304304304305305305305305305306307306306308305304305307307306306307307307306306306305305306305305305306306306305305304303304305305305306307307306306306306306306306306307307307307306306305305306306306306306306306306306307307307306306305306306306305305305305305305304304305303303303302303303302302302303302301303302300300302301301301300301300301300301301301301300300300301301300300301301301301300301299302303302300301301300300300301301300301299299301300300300300301300300299299299299299299298298300299299298298299298299300300300301301301301300300300302301300299300299300300300300300298299300300301300301300300302300300299299299299298298298299299299299298298298299299299298298298298298298298298298297298297298297298297297297297297297297297297297297297297298298298298298298298298298298298297297298297297297297297297297297297297297298298297297297296296296295295295295295295295295295294294294293293293293293293293294294294294293294293294294294294293293293293294294294294294293293294293293293293292293292293292294292292292292292292292292292292292293292292292292292292292292291291291291291291291290290290291291291291290291290290290291290291290290290290290290290290290291291291291291292291291291292292291291291291291292291290290290290290290290291291290290290290290290291291291291291291291291292292292293292292292292292292292293291293293292292293293292291292291291291289289289289 300298296293292291290288290290290292291290293299297297298297299298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297294295293293295294295295293295294294294295292294294294294294294294294293293293294294294294294296294295296296295293293293293294294292290294295294295294294293293294295294293292290292292293290291292293292291291290293292292292290291291291292289290292292293293293292292293294296293292295295296292294293293293294292291292293294294292293293294292295295293293292999999999295298300296298999999303300300295999999302301299298298299999999999300297293292294291296999999999999999999999999999999298300299298298298299299300300300300300301301300301302303300301302303303303303302303303304304304305305305304304303303303302303304303302303303303302303303303302304302303303304304304304304305304304304304305305304304305304305304306305305305304304304304304305305305305305305304305304305304305305306305305305305306306308308307306308307307307306306306306306306305305305305305305304305305305305305304305306306306306305307306306307307306307307307307307308308307306307306306306306305305305306306307307306306306306306305306304304305305305304304305303305304303303303303303302303303303303302303303303302302302301300301301301301301301301301301301301300301300301300301300301301300300300302302301301301301301300301301301300301301301301300300300300300300300300300298299300300299300301300300299299300299300299300300300301300301301300301301300300299299299299300299300300299298299300299300301301300301300299299299299298298299298299299298298298298298298299299299299298299298298298298298298297297297297297297297297297297297297297297297297297298298298298298298298298298298298298298298298297297297297297296297297297297297297297297297296297296296296296295295295295295295295295294294293294294294293294294294294294293294294293293293293293294294293294294294294294294294294293293294293293293293293293293292293292292292292292292292292292292293293293292293292292292292291292292291291291290291290291291291291290291291291291291291291291291291291291291291290290291291292292292292292292292291291292291292292290291291291291290289290290290290290291291291290290290290291291291291291291292292292292292292292292292291291292292293292293292293292292292291292291290290289289289289290 299297297294294292291290290291291290291290291293297292293296296298301999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297294292292292294295294294296294294293294294294293293293294293294294294294294293294293294293292293293295294294293293292294294295295293291291295294294295294294293295294296295293291293293292291292290290291290291291290290291290290291292292289290292291292292293293293294294294296295296296294295294293293293293293292290293294999292292293293293292294294295294293999999293296296297299299298300300300300299298301302299298298298999999999999999296294295293292296299999999999999999999999999999999300298298298298299300300301300299300301300300301302304303301303303302303302302303304304304303305305304304303304303303302304303304303303302303303302302303304304304304304305304304304304304305305304303305304303303305305305304305304305305304304304304304305305306305305306306306306305304305304305306304305306307307306307307307307307307307307307305305305305305305305305306305305305305304305305305304306305305305307306306306307307307307308307307307307308307307307306306306306305305305306306306306306305305306305306305305304305305304305305304304303302302303303303303303303304304303303303303303303302302301301300301301300301301301302301301300299301300300299300299299300301302301301301301301301301300300301300301300302302301301300299300300300301301300299298300299300300301300300301300300300299300301301300300300299300300300300301301299300299299299299298299299298299298299300300300299300300300299299299299299299298298298299298298298298298298298298299298298298298298298299298298297297297297297297297297297297297297297297297297297297297297298298298298298298299298298298298298298298297298297297297297297297297297297297297297297297296296296295296295295295295295295294294294293294294294295294294294294294294293294294294294293293294294294294295295295294294294294294294294293293293293293293293293293292292292293293293293292293292293293292292292292292292292292292291291291291291291290291290290291291291291291291291291291291291291291291290290291293291291291292292292291291291291291292291291290289291291291291291290291291290290290290290290291291291291291292292292292293293292292292293292292293293292293292293293293293292292292292290292291290291290289290290290 297296295294292291293292291290291294291292293293295295295292291297297297297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294294294291292293295294294293294295294293294294295293293293293294296295294293294294294293293293293295295293294292292292295294296295292291292295294295296295295293294294293293293292292291292292292290291293291291291290291290290291292291291290289289291293292291292292294294293295295296296294296294293294292292292292292293293999999294291293293290292291292293293294293294295296298298299298301300299301300299299298299298300299999999300299999999999293292292294298999999999999999999999999999999999299299298299299300300300300300300301300301301302304302302303303302302302303304304304304304305305304304303303303303303302303303303304304303303303303304304304304305305305305306303304304305305304305306304305304305305305305305305305305304304304304305305305305305305305305306306306305305305304304304304307308306307306307307307307307306306307306306305305305305305305305304304305305305305304304305305306307306306307306306306306307307307307308307307307306306306306306306305305305306306305306306306305305305304305305305305305305304305304304304304302303303303303303303303304304303304304303302302302301301300300298299300301302301301301302301302302301300299299299299300301302301300300299300299300300300300300301301301301300301301300300300299301301301301299300299299301301300300300299299300300300301301301301301300301301301301300300300299300299299300299298299299300300298299300300300300301301300300300299299299299299298299298298298298298298298298299299298299298298298299298298298298298298298298297298297297297297297297297297297297297298298298298298298298298298298298298298298297297297297297297297297297297297297297296297297296296296296295295294295295294295294294294294294294294294294294294294294294294293294294294294294294294294293294294294294294294294294294293293293293293294293293293293292293292293293293293293292292292292292292293292292292292292292292292291291291291291291291291291291291291291291291291291291291292291291291291291291291291291291291292292292292292292291291292291290290290291290291291290290290291290290290291290291291291291292292292292292293292293293293292292291291291291292292292293293292292291292292292292292291290290290290290290 297296295296296295296293293293294297291292294293293292289297296298299999295297294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295294292291290292293292293295293293293293292293294294294296295293293296293294294294295294293293295295296294294293292293295292293294294292294297293294295294295295295294294295296293289292291291293293290291292291291291291290291290290292291291290291294292292291292294294293294294295294293296295292295293294291292295293292293295999999999293292295296295296296299295300294296297297298297297300300299301300299297300301300297299999299298298999999999999292293297299298298999999999999999999999999999297298298298300300299300299299300300299300301303303303302302302301303302303302303303304304303303304304303304303302303303302303303304303303304303303304305304304305305305306306304305306305304305306305304307305305305305305305305304305304304305305305305305305305305306306306306305305305305305305304305305306306307306307307307307308307306307306306305305305305305305305305304304305305305304304304306306306306306307306306306306307306307307307307307307307306306306305306305305305305305306306306305305304304304304305305304305306305303303304304304302303303303303304304304304303304303303303302302302302301301301300301301301302301302301300301301302301300299300299299299299301301299300299299300300300299299300300300300301301301300300300300300300301300301298300299299301300300301300299299299299301301301301300301301301301301301301300300301300300299300299299299299299300298299300300300299300301301300299299299299299299298299299299298298298298298299298298298299298298298298298298298298298297298298297298297297297297297297297297298298298297297298298298298298298298298298298298298298298298297297297297297297297297297297297296296296296296296295295295295295295295295295295295295295294295295294294294294294294294294294294294294294294294294294294295294294294295294294294293293294294294293293293293293293293294294294293293293293293292293293293292292293292292292293292292292292291291291291291291291291292292292291291291292291291291291291291291291291291291291292292292292292292292292292292292292292291291289290291291290290290290291291291291291292292292292292293293293293293293293293292293292291291292292293292292293292292291294291292292291291290289290290291290 296294295294295293295296295295295295295297295296295293291294296297299298303295298291999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293291290290292292292293294293291293292292292293293293293296293295294293294294294295296294294294294294295293294294292294294293293293293293295297297293293294295296296296294295293294291294292288290291292292292290292293290290293289291291290291291293294293293294293295293293295296293294295296295296293292294294293294294292293294294293292292294295297296295298298297300296298299298298298298299300300300302299302302303303298296296299299298297999999999292295297297298299299999999999999999999999298299298299299299299301300299298300300301302303304303304302301301302302302303304303304304304304304304304304304303302303302302302303302303303302303303304304304303304305305305305306305305303305304305304304305305305303303305305304305304305305306305305305305305305305305305306305305305305305305304304305305305306305306306307307307308306307307306305304304305305305304305305305304305305305305304302305304305305306307307306305304306307307305306306307307307306305305305305306305304304305305305304305304304304303304305304304305305305303305303304302302303303303303304304304304304304304303303302303301302302301302301301301299300301301302301301301301300301301301302300300300301299299299299299300300300300299300300299300300300300300299300300300299300299300300299299300300301301300300298298298299300301301300300301301301301302302301301300301300300299299299299299298299300299300300300300300300300300300299299299299300299298299299299299299299298300299299299299299299298300299298297298298298298298298298298298298298297297297298298298298298298298298298298298298298298298298298299298298298298298298298298297297297297297298297297296296296296296296296295295295295296295295295295295295295295295296296296295295295294294294294294294294295294294294294294294294294294294294293294294294293293293293293293294293294294294293292292293293293293293293293293293293293292292292292292292292291292291292292292292291292292292292292292291291291292291291291292292292292292292292292292292292292292293292293293292292292292291291291291291291291291290291291292292292292292292291293293293293292293291292293293292292292292292292292293293292292293292292292291291291290290290290290288 296294295293293293292293291292292294294295296293294293294293297296300300292299297305999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295294293290291292291291292293293291292292292292293294293293295295292295294293295295296295295295295296294294295295295295294295295295294293292293294294294295294296297297294295296295293294293293294291292288290292291294293292290293292290293293292293294292293293294294295294294295295295294296297295295295294294294293293294293293999294294294294294296297296297298299300297296296299300300298999300300301301302303301303303301298298297299298299298296295999293296297298298299299300999999999999999999298298298299299300300300301300300299300302301302303303304302302301302302302304305304304303304305305303304303303303304303302301302301302303303303303303304304303303305305306306306306305306305305304304305306304305305304304303304305304304305305305304304305305305305305306305305305305305304304304304304305305306306306306307307307306307306306307306305305305304304306305305305305304305305304305303305304306304305306306307305305306307307306306306307306306306306306305306305305304304303305304304305303304304304304304305304305305305304303305303303303304304303302303303303304303303304304304303302303302303303301302302301301300300301301302301301300300301301300301301300300300300300300299299299300300300300300300300300301300299299300300301300300301301300300300299300300301301301300300299298299299300299302301301301301301301302302300301299300300300300299299299300299299299300299300300300300299299299300300300300299299299299299299299298298298299299299299299299299299299300299299298298298298298298298298297298298297298297297298298298298298298297298298298298298299299299298298299299299299298299298298298298298298298298298298297297297297296296296296295295296296296296296296296296296296296297296296296296295295295295295295295294295295295295295295295295295295295294295294294294294294293294294294293293294294294294293293293293293293294294295293293293293292293293292292292292292292291291292292292292292292292292292292291291291291291291292291292292292292292292292292292292292293293294293293294293292293293292292292292292292292291290291292292292293293293293293293293293293294293292293293293293292291293293292294293293293293293293292292291292292290290290290290289 294294293293294292293293292292293294295295294293293292294297297297297298299294292302304999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290288289289290291291292292293293291292292293295294294292293295295295294294296295296294294294294295296295296296295294295296296296295293295295294294295295296296296297297296296295293296294293294291292293290290291288292292291291291291292291291294294292291292293294295293296295295293294298298295296296295296295294294295295295999293296295295294296297296297297298296297299297299302301297295999999999306302303304301301302300299297298298298299298297295294297300299300301302301302301999999999999299299300300298300300300302301303300300302302304303302303302302302302303303304304304304304304305305304305305305303302303303302301303303303302303303304303304304304305305306306306305304305306305306304305303303305306304305303304304304304304304305304304304304305305305305305305305304304304305305305305306306305306306307306307306307306307306307306305305305304304305305305305305305305305305305305305304305303305305306306306305306305306306307307306305306306305305305305305305304304305305305304304304303303304304304304304304304305304303304305305305304304303302303303304303303303304302304303303302302302302301300301300300300301301302301301301300300300300301301301299299298299300298298299299299300300301300301301299300299298298299300300300299299299299300300300300299300300300299300300299299299299300301301301301301302301302302300300300300300300300299299299299300299300301300300301300300300300300300299300300300300300300299299299299298298298298299299299299299299299300299299299299299298298298298298297297298297297298298298298298298298298298298298299298298299299299299299299299299299299299299298299298298298298298298297297297297297297297297296295296296296296296296296296296297297296296297296296296296296296295295295295295295295295295295295295295295295295295295294294294295294294294294294293293294293294293294294293293293293294294294293293293293292292292292292292292292292292292292292292292292292292293292292292291291291292291291292292292292292292293293292292293293293294293294292292292292293292291293293291290291292292291291292293293293293294293294294293294292294293293293293293293294294292293293294293293294293293293292292292291291290291291290290293 296294293294293294294293293293294295295296296293293295297301299299297298296999286300303999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290288290290291291291292292292293293293295294296296293294294295294295295295295296295296294295296295296296296296295295295295295295293294294294295293293295295296296296296296294293296296296295294293296294288292291290293295291290290294294293294291292295293294295294296296297294294294296296299296293296295295298297295295295296297294295295295295296297298298297297299296298299300301300297298299999999999305304305300302303302302301299300299299297298298294297299299999299302300301301999999999999301299301299301300300300302302301302301303302302302301301302302303302303304304303304305304303306305305304304303303303303303302302302303304303303303303303303303304304305305305305305304306305304305304304305304305305306304304304303304304304304305304305305305303306305305304304304304304305305305305305305305306307308307306307307308307307307307307306305305304305305306305306305306306306306306306305304304304304306307306306307308308308307306306306306306305306305305305305303304304304304304304304304303303303304304304304305304304304304304304305305305304302303303303303304304303303303305304304302303303302302302301301299300300300302302301302301301301301301301301299301298298299300300299300299300300301301300300300299299300301300300301300301302300300300300300300300300300300300299300300299301300302301301301301301301302302301300300301301301301301302300299301301300302301301301300299300300300300300299300300299299300300300300299298299298298299298299299299299299299299300299300299299299298299298297298298298297298297298298298298298298298298298298298298298299299299299299299299299299299299298299299299298298298298299298297297297297297297298297297297296296295295296296297297297298297297297297297296296296296297297296295295295295295295296295295296295295295295295294295295294294295295295294294294294294294295294295294293293293294294294293294293293293293293293292292292292292292292292292292292292292293292292292293292292292292291291292292292292292293293293293293293293293294294294292292292294292292293292293292292292292292292293292294292293294294294294294293293293294293293293293293293294294293293293294294294293293292292293292293294293291291291291291290 296294293292293293291293292294294294294294293293293292295294295296296298298295293294305305999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293291291290288289291292292292292293294293293294294295295294294295295293292294294295295295297294295295295295296295295295295294293293294294295294293293294294295295295295296296296295293296296293294295295294294292291289290291291292290291290290291296293294295294293295294296298298295295296296297296297297296296296297297295295296294294296297296296296296298299298298299299297299302302298298296299299999999999999302304999306305301305299301299298300299299299296300301299999999303303301999999999999999301299301300300300301301302302302301302303302302301301302302301302302303304303303304305305305306306305305304303303303303303303303302302303303303302304303303303303303304305304305305305305306306305305303304305305305305305306305304304304304304305305305306306305306305304305304304304305304304305305305306305306308308308307307307308308307307307307306305305304305306304306305306306306305305306305306305305305305306306305306306307308308306306306306305306305305304304304304303304304304304304304305303304304303304305304305304304304304304304304304303305303302302302303304304303303302303304302303303302301301301302302300299301301302302302301301302300301301301301301301302301300299300300300300300299300301300300301300299300300301301301301300301301301300301301301301299301301302300301301300302301301300302301302302301302302301301300301302301301300302301301301300301301301301301301301300301300301301300301300300299300299300300300300300299299299299299299299299299299299299300300300300300299299299298298298298298298298298298298298298299299299298298298298298298298299299299299299299299299299299299299299298298298298300301300298297298298297298298297297297296296295295296296296297297297297297297297297297297297296296296296296295295295296295296295295296296296295295295294295295295294294295295295295295296294294294294293293294294294294294294293293294293293294293293293292293292292292293293293293293292292292292291293292292293292293292292293292292292293293293293294293294294294294294293293293294294293293293293293293293293293293293293294294294294294294294294294293293293293293292293294293294293293294293294293293294293293293293293292293293294292293291292292290 296295294295295295292293290293294294293293292292292291293293294294296295294295292296301300999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294291289290289289290291292292291292293293293294294294292293295293293294295294295294294296296294296296294294295294294294294293294293294294294294293294296296295295295296296296296295295296297295293295294292293292292291291292293292291290291291292291291294294294295295298299297299297297293295297298295294294297295295295295294286293297296297296296297297298298299299299297299299296302300300299298296999999999999999999999999999999299303301300298299297299300300302298999999301303303301999999999999999999299299299301299301302303302301302304304304302300302302303302302303303303302303304305304305305306305304304303303303303303303303303304305302303302303303303303303303304304304304305305304305306305304304303305306306306306305305305305305304306304305305305306306305305304305304305304304304305306306306306307307308307306306307307308307308307306307306306304306306306305305306306305306305306305306306305305305305305305305305307307307306305305305305305305306305305303304303303303304304304305304303303305304304304305305304304305304304304304304304304303303303303304303304304303303303304304303302303303301301301302302301301301303301301302301301302301302301301302302298301301300301300301301301300301301301300301301301300301301301301302301302302301301300301301301301300301303302302303303301303301301301302303302302302302301301301300300301302301300301301301302301301301302302301301300300301301301300300301301301301300301301300300300300300300300300300299299299299298299300300300300300300300299299298298298298298298298298298298298298298299299298298298298298298298298298298298299299299299299299299298298298298298298298300299298298297297297297297297297297296296297296296296296296297297297297297297297297297297297296296296296295295295295296295295296296295296296295295294295295295294294295295295295294295294295294294294293294294294294294294294293293294293293293293293293293293293293292293293293293293293293293293293293293293293293293293293293293293293293293294293294294294294294293293294293293293293293294295294294294294294294293294293293293294294293294294294294294293293293292293293293293293292293293293292292292293293292292292292292292291291292291291291294 294297295295294293294293293293293294293292291293293293293294294296294295295295297295300299297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291291289290287289288291291291290292292290289294294293293293294293291292292294293294295295296293294293294293293294293292293293294295294294295294294294295296295294295296296296296295295295292295295293293293295293294293295291292294292292291289293291293292292297297297298297297298294296296296296297298296295296296295298294292295297296296296295297297299298298299297298298298298298298298296298299298999999999999999999999999999999304301305301299298298298298300299299999999299300301999999999999999999999999299299302300301302301303302304304304304303301301303302302303304303303303303303304305305305305305305304304304304304303304304303303303302303303303303303303303303303304303304304305304304305305305305304303305304305305306305305305305305306305306306304304306304304304304304304304304304305305306306306305307308307307305307307307308307307307307306305306306305306306306306305305305305306306307306305305305305305304304305306305307305306305304305306304304304304303303303302303303303302302304303304305305305305305304304304304303304304304304304304304304302303303303304304304303304304304304302302302302301301303302302301302301302302302302301302300300301301303302302301300300300300301301301301301301302303301303302302301302302301302301301301302300301302301301301300301301301302301302303302300301302302304303303302302303301301301301301301300300300300302301301301300301300301300301301301300301300301301301301301300301300301300301300300300300300300299299299299299300300300300301300300300299299300299298298298298298298298298298298299299299298298298298298298298299299299299298299299299299298299299299299298298297298298298298298297297297297297297296296296297297297296296297297297297298298297297298297297297297297296296296295295295295296296295296295295296295295294294295296295295294294295295295295295294295294294295294295294294295295293294294293293293293293293293293292292293293293293293293293293293293293292292293293293293293293293293292293292293293293293293293294293294294293294293294293294294295294294295294294294294294294294294293293293293294294294294294293294294293293293293292293292292293293294293294292293293292292293293293293292292293292292291295 297297295295295294292293291293294295294292292293292295293293293295295297296295295298299299300999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291289289289292289290291288290290290291292292292291291292293293292293293294293291291293293294294295295294293293293293293292291292293293293294292294295295296294295296296295295294295294293294294294295295293293293297296296295295294293292293291292291291292291291294295296296297294296298299298298297301300299297294294296295293999290292293293292293296297296298298298297297296298298298300297298299297297298999999999999999999999999999999999299299298299300298301299298300300301301999999999999999999305306999999999999299300301300301299301303302302304303304303300303303303303303303304303302303304305305305305304302304304304304304304303304304303305304301303304303303303303303303304304304305304305304306306305306304305305304304305306305306306306306306306306306306305305305305305305304304304305305305305305305304306306306307307308306307307307306305305306307306306307305305306306305306306305305306306307307306304305305305305305304305304305305305305305303305305302302303303303302302302302303303302303304304305305304304304304304304303303303304305304304304304304303304304304305305304303303304304303304303302301302302302302302302301301301302302301301301301301300300303302301302302301301300302301301301301301302302302302302302302301302301301302302300301301301302301301301302302302301301301301302301302301302303302302303303302302302301300301301301301301300299300300301301301301301301301301301301301301301301301302301302302301301300300301300300300300300299300299299299299299299300300301301301301300300300299300299298299299299299298298298298299299299299299299298299299299299298299299299299299299299299299299298298299299298298298298298297298297297297297297297296296297297297296297297296297298297297297297298298297297296297296296296294295295294295295295295294295295295296294295294295294294294294295295296295295294294293294294294294294293294294293294294293292292292292292292291292293293293292292293294294293293293293293292293293294294293294293293293293293293293293294294294294293294294293293295294294295295295295295295295295294295295294294294294293294293294294294293293293293293294293292293292292291293292293291293293292294292292292292291291293292292292292292293297 298297295293294293293293294291294295294293293293292294294294294295296294296297296294296300299999999999999295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291292290290289291291290291290288289290290291292292291293292293293293291291292293292292292293293294293294294293294293293294293293292292292293292293293293293295295294296296296295296295294294294295295296296296295294296295297296295295294293295294294295290292289293293293295295292295291297296296298296299300300298298296294294292293999296292293294294294296295295294294295296295295298297300299298298298296297297999999999999999999999999999999291299300301300302300302297296300299300300999999999999999999301302999999999999304300300300301300300300300301301302302302301301301302302303303303302303303304304304304303303303302303303304304304304303304303304305304303302303302302302301302304304305305304304304304305305305304305304304304305305306305305304305305305306305305304303305305305305305304304305305305305305306306305306306306307308307307307307305306306305306306305305306307306307306306307305306306306307306305305305306306305305305306306305307306303304304305305304302302302302303302302300303303303304304303305304304304305304303303303304304302303305304304304304304304304304304304304304303304304303303303302301302302302302302302302302302302302303302301301302302301302302302301302303301301300301302301302301302301302303302303303302303301301303302301302302300301301303302302302302302302301301303302302301301302300302303303303302301301301302301301300299300300299300301301301301301301301301301300300300301301302301301301301301300301300300300300299299299299299299298298298299300299300301300300300300299300300299299298298298298298297298297298298298298298298299298298298298298298298299298299299299299298297298298298299298298298298298298297297297297297297297297296296296296297296297297297297297298297297297298297298297296296296296296295295295295295295294295295295296295295296296296295296295295295295295294294294294295294294294294294294293294294294294295295294293293292293292294293294293293293293293294294294294293293293293293294294294293294293293294293294293294294294294294293293294294294293294294294295294295293294295295295295295295294295294294294294294295294294293293293294294293293293293293292292292293293292292293292293292292292291291293293293293293293292293292 296294293293292294293294294294295295293293293293293294295296295293298298297297294295296300299999999999297302295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289290290290289290291292289292289288290291290291293292293293293294294292294294295293292293293293292293294294294294294293293293293293292292292292293293293293293293295294295295295295295293291293295295295296296295296295298298298298295296296294295295296292293290290292294293293293292292291291296295297298300300300301298298297296292295999294293294295294295295294295295294293294293293298298300297296298296294297299296999999999999999999999999294291292294297294296302301300999299299300300999999999999999999301301301300299299302299300301301300301301300301301301301302302302302302303302303303302302304304304304304304304304304304303304304303303303304302301303303302302301302302301301301301303305305303304304303304304305305304304303304303305305305304304304305305306305304304305304306305305303304305304305305306304305305304306305305305306306306305305305304305304305304305305305305306307306306306306306306306305305305305305305306305305305306306305304305303303304303303304304304303303303303302303301302301302301302304304303304304304303304304304304303304303303303302303303302302303303303303302301302302302302302302302301301302302302302302302302302302301302301301302301301301301301300301300300301301302301300301301301301302302303302302303302302302300300301302301301301302302302302302301301301301301302300300300301301301302303303303303302302301301303302301300300301301302302301301302301302302301301300300300300300301301301300300300301300300300300299299299299300299299298298298299300300300300300300300300300300300300299299299299299298298297298298299299299298299299299298298298299299299299299299299299299299299299298298299299298298298298298298298298298297298297297297296297297297297297297297297297297297297297297297297297296296296297296297296296295295295295295295295295295295295295296295294295294295295294294294295295295294294294295294294294293294294294295295294293294293293293294294294294294294294294294294294294294293293294293294293294293293294294294294294294294294293294294294294293294294294294294294294295295294295295295295295295296296296295295294294295295294294293294294294294294293293293293293293292292292293293294292292291293293292292291293292291293293293293296 293293293293293293293293294295296296293293294293294296296296295296297297295296297296295294297999999999301301295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288289288288290290291289293290290289288289292291292292295293294294292293294294296295294293292294293293293293295294294293294293294293292293293293294294293293290290294293294295295294296296292293295297297294294295296296298301298297295296296296295295295295293292292291292293296295295294294293294295298301299298299297299299298299298296999999296296295296294295294294293293293292292294294297293295297295295292292296297999999999999999999999294297295289999999296294296296295297999296298299300999298298999999999299300299300299299298298299299301300301300300300301302302303302303302301301301302302302303303303304304304303304302304303304304304304303303303303302302302303303303302302302302301303303305304303303303303304305304304304303304304304304305305304305306305305305305305304305305306306305304304305305304305305306305305304305305305305306305306306305305304304304304304304304306306307306306305306306306305306305305305304305305306306306305307306305305305304304304303303303303304302302303303302303304302301303303303304305304304304304304304304304304304303304303303303303302303302302303303302303301302302302301302301301302301301302303302302302302302302301302301302302301301301301301300301301302301301301301301301301300302302304303301302303302301301301300301302301301301301302302302301302301302302302301303300302302303303302302304303303302303303303302302302301301302300301301301301301302301302301301301301301301301301301301301301300301300301300300299300299299299299298298299299299300300300300300300300300300300300300300300299299298299299298298298299299299299299298298298298298299299299298298299299299299299299298298298298298298298298298298298298298297297297297297297297297297297297297297297297298298297297298297297297296296296297296296297297297296296295295295295295295296296295296296295295295295294295295295294296294296295295296295295295294294295295295294295294294294294294294294294294295295295294294294294295295294294294294294294294294294293294294294294295295295294293294295294293293293295294295293294294294295295295296295295295295295295295295294295295294294294294294294293293293293293293293293293292293292292292292292293293294294292290293292293293291292292292292294 294293293291292293295294293295295294294294295293293294296297297296298297295298295295294295295295302306303304296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288286286287289289289289290289289290289289289289289291292291293295293294293292294294294295294294292291292293293293295294293293294293292293293293293293293293294294294293294294295295295294294294293294295295295296295295294295294298300298296293297296295295293291295292293292293295294293295297297298293296296301302300299300299300299298298298296289999297297295294296294292292294293292292292295295297297297296294293293292294296999999999999999999999286297291999999999999999298296292296999300300298298298299300999999999297298298299299298298294295299300300300301301301302302301301303302302302301302302303303303304304304304304303303302303303304304304304303303303302304303304304304304303303303302302302304303304303303304304305305306303304305304304304304305305304305306305305305305304305305306306306305305304304304304304305306305304304306304306305305306306305306305304304303303304304305305306306306306306305306306305305304304304305305305306305306305305305305303304303304304304303303303302301302301302302302302301302302303303302303304303303304304303303303304304303303303303303302302302302302302302302302302302302301302302302301302301302302302302302302302301302301302301302302301301301301301301301301302302301301302301302302301303303303303302302302302301302302301301301301301301302302303302302302302303302302302301302301302303303303303303302304304303304304302302302302302302302302302301300300300301301302301302301301302301301302301301301301300301301301300300300299299299299299299299299299299299299300300300301299300300300300300300299299298299299298299299299299298299299298298298299299299299299299299299299299299298298298298298298297298299299299299298298298297298297297298296297298297297297297297297298298298298297298298299298297297297297297297297297297296296295296295295296296296296296296296295295296296295295295296295296296296296295295296295294294295295296294294295294294294294294294294294294294295294294294294295295295295294293295294294294294294294294295294294295294295294294293293292294293294293293294294294295295294294294296295295295295295297294295294295294293294295294294294294293293294294293294292293292291293293293293293292293293294292292293293292293293293293293292295 295294293294294294295295294294295295294291294295294297297297298297298298297297297295295296296292298303303302296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286288287286287288287290289288289290290290289289290291292292293295293292292291293293294294287293291292292293293292293293293293293292292292292291294293294294294291291294293293294294293294293293293293294295295296297295297297299301300298294294295296294294295293292290292293293293293294294295295300297296297302301299299299298301298299298297293999999999295293293293293291291291291291291291292293295296297297294292294294294999999999999999999999290287291292999999999999999294300295999999300298298298298301301300999999296298298297297296297295296297299299299300301302301302303302303302303303303302302302302304304304303303303303304303303303304304303303302303303303303303303304303303303302304302302303303304303302303304304303304304303303305305305303303305303306306305307306306305303306306305306306305305305304304304304305305305304306306305306305304305305306305305304304304303303304306307306306306305305305305306305305304304305305305306306305305305305306305304303304304304304303303303302303302301301303302303302302301304304304304305303304303303303304304304303303304303303303303303303302301302301301302302301301301302302301302303302302301302303302301301301302302302302301302302302301302301302301302302302301302302300302301303304303303303302302301302302301301301302301302302301302302303303302303303303303303304303302303303303304303304303303303303302305305303302301302302303303302302302300300300300301302301301301302302302302302302302302301301301301301301300300299300299299299299299299299300298299300300301301300301300300301300301299299299299299299299298299299299298299298298297298298299298298298299298299299299298299298298298298298298299298299299298298298298297297297297297297297297297297297297297297298298298297297298298298296297297297297297296296296296296296295295295296295295295295296295295295295295295295296296296296295295296295295294295295294295295295294294294294294294294294294294294294294295295295295295295295295296295295294295295295295295295295295295293294295294294294294294294294295294293294293294294295295295295295295295296296295295295296296295295294294294295294294294293294293293295295293294293293292293294293293293293293292294293295294294292294293293293293294297 294294293295291294295294294292293292291292293296294297297298297295297294297297296294296293298297295296301999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290288285288288288287289288289289289289289289290291290290291292292294295295295292292294294295293289293292292293293293293294292292293293293293293292293294293295294294292294294294293293293293293293293293294293295294294296297297298299298298296291293292295295293291292290295292293292293294295295295294293295295294299298300297301300304302298297296291999999999294295293292292292290291291292292293294292296299299298300298296301295295999999297294295999999294294999999999999999999296298295999999296297295301301302301301999999999298297296295296295294296297298298298299299301300302302302303301302303302302302300304303304303303303302303304303303303303303301303304303301303302302303302303303303304304304302303303304302303303304304304302304303303304304305305306305306305307305307305305305306307306306306305305305305304305305305305305306306306305305305305304304304305305304304304304303303304305306305305305305305306305304304305304305305305305305306305306305306305304304305303303303303302303303301302303302302303302303300301301304302305303304304305304304304303303305305304304303303302303303303302301301301301302301301301301301301301302303303303302302303303302301302302303302302301301301301302302301302301302302302302301301302301303303302302303302301301300302300301301301302301301303303303302302301302302302301303304303302303304303303303303303303304303302302304304304303301302302303303302301301301300300300301300301301301301301301301301301301301300301301300301300300300300299299300299299299299299299299300299300300300301301300301300300300300300299299298297297298298298298297298297297297297298298298299298298298299299298298298298298298298297297298298299299299299298298297297297297296296296296296296296297297297298298297298298298297296297297297297297297296296296296296296295295296295295295295295296295295294295295295295296297296296296295295295295295296294295295295295295294295295295295295295294294294294295296295295295295295296296296296295296296296296296295295295295295294294294294295294294294295295295295295294294294295295297296295295295295296296296295295295296296295294294294295295294294294294294294293294294294294292292293294294294294293294293294295294293294293293293294294294294297 294294294294293293294293297296296293293295294296296296295297295295298294297294294296295296296295295295295295999999292291999999999999999999999999999999999999999999999999999999999999999999999999999999999999295999999999999999999999288290288287287288287288289287288288288287287288288289288290290292292293294294294293292293295293295295292293292291294293293294294294294293293293292293293293294294294293294295295294294294294294293294294294293295294295295294294294295297296297296294293293293295291294293293294295294292291294294295297296296294296298297299303301296299303298299297298297294999999999999293999999291292291290291291293293293296295296298297297297296298294295999297295294298999999296294999999999999999999294297999999999300295298300299300300299999999999999296295295297297297296296297297297299300300301301301300301301300302302303303303303303303303302303302302303303303303302303304303303302302303303303303302302302302303303301301302303302302302302303303303303302302303303304305306306306303304305306305306304305304306306306306306306304305304304305305305305305305305305304304305305305303304304304303303305304304304304305306305304304305305306305305304304305305305305306305305305305305304304303304303304303304303302301301302302301303302302302301298300301302303304304304305304304305304304304304303303303302302303302302302302300301301301301302301301302301301301301302303304303303302303302302302303302302302301301301302302302303302302302302302302302301302302301301301300300301302301300300301302301301301301302301302302302302301301302303303304303302303303303304304303304304303303302302303304303302302302302303303303301301300301301302302300301301301301301301301301301301300300300300300300300300300299300299300299299299299300300299299300299300301301301301301301301301299297298298298298297298298298297298297297297298298299298298298298298298298298298298298298297297297297298298298298298298299299299298298297298297298297297297297297297297297298298298298298299298297298298297298298298297297296297296296296296296296295296296296296296296296296295295295296296296296296296295296296296296295295295295295295295295295295295295295295295295295295295295296295295295295296296296296296296296296296296296296296295295295296295295295295295295296296296295295294295295295294294296296296295296296295295295296296295295294294294295294294294294293294294293294294293293293293293294293293294293293293293293295293294294294294293294294294296 293292292294293295295297294294295297294295294296295294296296295296299297299296296290292287294294295294297294294297292291291289286298999999999999999999999999999999999999999999999999999999999999999999999999999294298999999291291287287289289289288286286287289289288288288288287287289289289291293294293294294293293293292294294292292293293292292290293292293294294293293293292292292292293292294292292294295294294294293294293293292293294293294294294295295294294296298297298294294295294294294293294294294297295292294295297293294293295296297295297296299298299299296295300300301299296297999999999999294293294293293292293293292292292294295295296296297297301300296297299999296297297295295999296298999999999999999999297296295999999999296296297299299300300999999999999999296296291291296297297297297299300299300300300302301302302301301303303302303303304303303303303302303303302303303303302303303303303304304303304303304304304303300302303301301301302303302302303302303304303302302303303304304305306306303304306305306306305304304304306305306306305304304304304304304304305305304305305304304304303303304303304304304304304304305304305305305305305306306305306305305305305305305305305305305305305304303303303303303303304304303302302301302302300301301300303302302302301301303303303304304305303304304305305305304304302303303303302301303302302301301301302301301301302302301301301302302303304304303303302302302302303302302302302302302302303302302302302303302302303301302303301300301300302301302301301302301302302301301301301302301302302302301301302303302303304304304304304304303305304304304304303302302302302303302302301302302302302303302302302301300301301300300301301302301301300301301301301301301299299299299300300300300300300299300300300301300300301301301303302301301300301300300299298297297298298298298298298298298298298297299299298298298298298298298299299299298298299298298298298298298298298299298299299299298298298298297298298297298298297297298298297298298299298298299299298297298298298299298297297297297297297296296296296296297297296296296296297297296297297297296296295296295296296296296296296296295295295296296295295295296295295295295294294295295295295295296295295296296295296296296296296296296296294296295294294295295294294295296295295295293293294294294295296295294296295295295295296296296297297296295294294295294294294294294294294293294294295294293293293293293293294294293293294292293293293293294293294294295295295295 293292293294293294296296292293297293295297294293292296296297297297295296295298294297292290292295294294293293294293292999999288298299298999999999999999999999999999999999999999999999999999999999999999999999301299295292293290290290289289290291290290288292290288289290289289289289291291293293293295295295295295294295294293293294292290291294292292293293293293294293294293293292290292292293293292293292293294294294293294294294293294296294295293293293295295295294297297298296295296295294295296294295295295292292294294294292292292296296297296297295297298299296295298300298299298999999999999296294294294294294293294293292292292293295295297297297297297298299297298300300296295295294295294296294294999999999999300297295999999999999298296297297300300298295999999999999296295290296292297297298297299299300300300300300302301302301303304302303303303303303303303303302304303303303303303304304303304304304304305303304303303303302300301302302302304302302302302302301303305304303303304306305303305304306305305304304304306305306303305306305307306306305305304304305304304305304305305304305304303303303304303304305304304304304305304306305306305305306306306306306306305305305305305305305305305306305304304305304303304305305303302302301302302301301302301301302301301301301304303304303304305305305305304305305304303303305304304302302302302302301301301301301301301301301302302302303303302303304304302304303303303303303303303303303303304302303303303304303303302302301303303304303302302302302302303303303302302302302301300301302302302302302302303304304304305305303304303304305304304305306305304303302302302302302302302302302303302302303303303301301301302301301301302301301300300300300301301300301301300299300300300300300300300300300300300300301300301301301301301302301300300300298299298298297297297297298298297298298298298298299300298298298298298298298298299299298298297298298298299298299299298298298298298298298298298297297297297297297297297297298298298298297298298299299300299299298298299298298298297297296297297296296297297296297297296296296296296297297297297297297296296296296296296296295295296295296295296296296296295295296296295295295295295295295295295295295295296296296296296296296296296296296296296296295295295295295295294294295295295295295295295295293294295294295294295295296296295295294295295296295294295294294294295294295294293293293294293295294293293292292293293293293293293293292293293294293294295294295296295294297 293293293294293295294296296293295295294293294297293296295294295293299295296297295292288292296291290292292293291293291999999296294296299298999999999999999999999999999999999999999999999999999999999999999299299298295295292291289290290291289290290290290292290289290290290291291290291292293292293293294295296295296295295293294294293293294293290292293293294293295295292293293293293293292291294293294292294294293294294294294293294295294294293293293294295295295296297297296295297296296294297294291292293293294291294292292295296292293292295296301298300298300297293299300296296296999999999297296299295293293294294295293293293294293293295295297296297297298297297296297297295295295294294293294292293999999999999296295295999999296296298297298298298299296295999999290293293294292999294296298297297297299299300300300301301301302302302302303302301301303302303302302301302302303302304304304303305305305304304304305302302302303300301300301302302303302302303302302302304303304303303304306304304307305305305304305305305306306306306305306306307307306305305306304304304304303303303304304304304303302304304302304304303305305305305304304306306305306305306305305305305305305305306305305305305304305304304306305304303304304304303303302302302302301301301302302302301302302301304304304304304304304304304304305304305304302304303303303302302301302301301301300301301301301301301301302303304303303304302303304303303304304303303303303301302302303303302303303303303303303303304303303302302303303302301302303303303301302302301301302302302302301303302303302304304304306304304304304304304304305304304304303303303302302302302302302302302303302302301302301300301301302302301300301300300299299300300301300301300300300300300300300300300300300300300299301300300301301301301300300300299299299298298299298297297297297298298298298298298298299298299299299299298298299299298299298299298298298299299298299299298298299298298298298297298298297297298298298298298298298299298298299298298298299299300299299299298298298299298298297297297297297296297297297297297296296296296297297296295296297297297296296296296296296296296296296296296296296295296296296296296296295295295295295295295295294295296296296296296295296296296296296296296296296295295295295294295294294295295295295295295295293295296295294294295295295295296296296296296294295295295295294294295294294294294294294295294294295295293293294293293293294294293293293293294294294294294294295295295294295296 294292293294293292291297294293296297295296297297296297296297296297293291296299302296295294295296295293294296290300289289293294295296299300299298999999999999999999999999999999999999999999999999999999999999297297296296295294292291292291289289291289291290288288290291291292292292292292293293292292292293293295292292292291294294293295294292293292293293293293294293293293292291294294293293293293293292294294293293294294294293293294294295294293294294295295295296297298297295296297296294295296294295292299293292292294295296291292293292293294298297299302296297295295295291999999999999294299293294301293293293293294295295294294294294295295295297298296296298297295295295294295294293295296295292290999999999999295294999999296294293297298999297299300294293999999292296293294294999295297296296296298299299301300300301300300302302302303302302302303302302303303303304303302303303304304305304305305304304304305305302302302301301302302301301303303300302302302303301304303305305303304307305304306305303306306305304305305306307306306306306306306306305306304304304303303304303303303304304304303304304304304305304304304305304306304305307306306305306305305305306305306306306306305305305304304304305304304304303304304303303303303303303303302301302302301301302302304301302303304304304305305305304302305305303303304303304303303302302302301301301302301301301301301301302301302302303303303302303302303304303303303303303303302303302302303302302302302303303304303302303303303303302302303304303303302302302303302302302301301301301301301301302301302302302304305305305303304303303303304304303303304304303303303302302304303302303302301301301301301302300301301302301301300300300300300300301301301301301301300300300300300300300300301301300300300300300300300301301300300300299299299299299298298298298298299298298298298298298298298298299299299299299299298298298299299298298298298298298298298299299298299298298298298298298298297297297297298297298298298298299298298298299299299299299299299299298298298297297297297297297297297297296297298297297297296297296296297297297297297297297297296297296296296296296296296296296296296296296297297296296296295295295295295294295295295295296296295296296296296296296297296296296296295296295295295295295295295295296295295295295294295294294294295295295296295296295295296296296295296295295295294294294295295295295294294294295295294295294295293294293294294294294293294293294294295294294293295297296296296296299 292292293293295295294295295295295294296296291296298294295297296298298298298298298295300293293293298297297296295293296292298297291298296297299298294295999999999999999999999999999999999999999999999999999294295294293298296296294293294294292291292289289288293290292293293291292293293292293293293292292294293294294292293291293291293292293293295293293292291290293294293292293294294293293293294294294295294294293294294294295295294293295294294296294294294295296296297297296296298297295296295295295293292293291293291292293294296294293294293293297296295296294293298294292289999999999999289291297299299297292292292295295295295294294295295295295296296295295297294293294294295295292292291289291292999999999999292291999999292297295295295999999999999297294293294294293294294294289292999295295296296297299299299298300300301300301301301301302302302302303303303302303303303303303304303303304305305305303304303304305304303302301301302302303302302302301303302303304303304305305303304305307307306305304303305306305304304304305306307306305305305305306305305305304304304303303303303303304304304305304304305302304304303304305304305304305305306306305306305305306306306306307306306305305306304305305304304305304305304303304304303303302303303303303303302302303302303303303301302304303304304304305305304304304303304304303304304303303303303302301302302301301302301301301301302303303303303303303303303304304302303303303303304304303303303302302302301302301302302302302303302303302302302302303303302303303302302303301301301301300302302301300304302301302302304304304305303304304303302303303303303303303303302302302303302303302302301301301301300301301301301301301300301301300300299299299299300300300300300299301300300299300301301301301301301300300300301301301301301301301300300299299299299298299298299299298298298298299298298298298298298298298298299299298298299299299298299299298298299299299299299299299298298298298299298298298298298298298298298298298299299299299298299299299299299298298299298298297296297298297297297298297298298298298297297297297297297297297297297297297297296297297296296296296296296296296296296296296296297297296296295296296295296295295295295295295296296296297296297297297297296296296296296295296296295295296296295297296295296296296296295294295295295296296296297296296296296296296296296296296295296294296295296296296296296295296296296296295296295295295294294294294295294295296296295295294295296297297297297296297298 292292293297295294295295296294294294293294294293294295295294296295298298296293296296290289291290290293294294294296293295291294294296294296298297295295295999999999999999999999999999999999999999999999295292293294294296296296294296295293293292291290295293293293291293292292292293293293292293292292293293294295293293294294294293294294292293293293295295295293294296294294292293294295294293294294294294296293294294296295295295294295297296296296295296296297297298297297297297297296297297297296297296295295291290293294292293294294295297294293294296295296296296296293294999293296294296296291295298297293291292293294294294295296295295295296295298297296295295295294294294293291293293292999999999999999999999290292999999298295294296999999999999999293295294295295293293294293291292295294295294999296297299298297300300300300302301302302302303303303303303303303303302304303303303303304305304305305303304304303301303303302301301302303303303301302302302303303304305305304304305306305307306305306305305306306305305305305305305305306305305306306306306305305303303304303303303303303304304304304304304304303304303303304304302306305305304306306305306306306307307305306307306306305305305305305305304303305304304303304304303302303303303303303302303304303302303304303303302302302304304303304303305304305304302303303303303303304303302302302302301301302302303302300302302302303303303303303304303305303302303304304303304304302304303303304303302302303301302303302302303303302302303303303302302302303303303302303302301301301303302303300301302302302302302304304304304304305304303302302303302302302302302302302302303303302301301301301300302301300301301301300301301301300300300300300299299299300299299300300300300301300300300300301300302302301301300301301301301301300301300299299300299299298299298299299298298299299298298298299297298299299299299298298298298298299299298299299298298298299299299299300299299298299299299299298298298298298299298299298298299299299299299300299300300299299300299298298298298298298298298297299298299298297298298299298298298298299298300297297298298297297298297297297297297297297297297296297297298297297298297297298298297297297297297296296296297297297297297297298298298297297297297297297297297297297298298296295296296296296297297297295295296295296297297297297297296296296297297296297296295295295295295296296296296296294296296295295295296295295294295294293293294294294295295295295295295295296295296296296296298 290293294294294294289295295295295295294294295294293294294295293296299294294291292297294293294294294290292292293292293291288292294293293293300297297295999999999999999999999999999999999999999999999999295293292293295295294294295295294294292292290289288288290290293291290290292292291291291291292292292291294292291293293293293292293293292292293293293294294294294295293294293293293294293293293293295295295295294295295295295295295295297296296297296296297296296297298298299297298296297298296298296293295294293294294294291292293294294298294295295297296296298297296293999292296296297295295298296296294293294293294295294295295296296297296294296296297297296296295296295295294293292294999999999999999999999295294292999999295294999999999999999999999293297295294294295294293294291293295295296298999297298299297300299302300300302302303303302304303303303303303304303303304302303303304305305304305305304304304304305302303303304304302303304301301301302302302304302304305304304305305304305306305306305305306306305304304305305304306305304304305305305305306305304303303303302302303303304304305305304304303303304303303303303303306305306306306305306306306307308307307306306306306306305306305305304304303305306304304304304303304303303303304303304304304304304304304303303302302303303302301303303304303304305304304303303303303304303303302302303302302301302303303302302303302302303304304304304304305304305304305305303304304305305304304303303302301303303301301301301302300303303302302302302303302303303302302303302301301302302303303302301302304302302302303303304304304305304304302302302301302302302302302302303303303302302301301301300301301301301301301300301302301301301300300300300300299298299300299300300300300301300300301301301301301301301300300301302302301301300300300299299300300299299299299299299299298299299299299299299299299299299299298298299299300299299299299299299300300300300300300300300300300299299299299299299299299299299299299300300301301301301302302301301301300300300299299299298298299299299300299300300300299299299299299299299299298298298298299298297298298298298298298298297297296297297298297297297297297298298298298298298298297297296296296295297296295295297297297297297297297297296297297297297298297296296296296295295295295296295297295295295295295295296296297296296297296296296297296296295295295295295296295296295296295296295296296296295295294295294294294293293294293294295294295294295295296296294295295296296298 292293291295295295296296296295296294295295294294293293292292292294298293298295294295295290294290289292291289289289291289289291294287293295296294295999999999999999999999999999999999999999999999999291293292291293293295295293293293293293292291290289288289289290290290291289290291289291291291292292292292292291292292292293292292292292293293292291293294294295295293293295294293294294293293293292294294294293294293294294294295295294296295297297296296298296294296297297296296296296297297296295294293292294293294293292293293293292293295296296294297297293296295295999999293295294295293294297296291292292292293295295296296296297295295295295297298298297297295297296297295295292293295999999999999999999999292292999999294293287999999999999999999999999294296296294294295293294999999297297296298299298297299300300300300301300302303303303303304303304304302303303303304304302303304304306306304306305305305305305305304304303304302304303303303304303303304303305305304305305304306306306306306306307305305306306306305304306305305306307305305305305305305306305304304303303303303303304303304304304304304305304305306306305303305306306307307307306307307307307307308308307307306307307307307306305304304304305306305303303303304304304304305305304304305306304304304304303306305304304303302303303304304304304305305304304303304304303304304303303304304303302302303304302302302303304305305305305306305303305305305305304305305305305305304303303304302303303303303303302302302302303303303303302303303303303303302304304302302302302302304303303304304303304304303305305304304305304303302304302302303304303303304304303304303303302303302303301301302302301302302302302302302302302301301301301300301299299300300300300301300301301303300301301302302301302301301302302302302302302300301301300300300299299300298299299299299298298299299299299299299299299299299298298298299299299299299300300300299300299300300300300300299299299299299299298299298299299299299299299300301301301299300301301301300301300300299299299298299299299299299300300299299298300298298298298298297298297297296297298298297297297297297297297297297296297297296296297297297297298298297298297297296296296296295296296296296295295296297297298296297297297297297296297298297298296296295296295296296297296295296295295294295296295296296297297297297297296296296296295296296296296295296296296295296296296296296296295296295295295294294294294293293294293294295295294294295295294294295296296296298 290291291293295295296294294295294295295295295294293293292292293296291292297290295295295293294289290291291290292290291289292293295292291296298297297999999999999999999999999999999999999999999999999999294293293293293293293293293292290290291290289289288288288289291289289289289290290290290290292291292291292292292292292293292290292292290292293294293294294294294294295295295294293293293293293293294294293294293293293294294295294294296297297298297296297295295296297297296296295295297297297296295295295294295295293292292293293292293294295292294296296295296295999999999292294294293293294295296290291292294295295295293295297296296296295295296297296296296294294294293292295296294293999999999999999999999292291999999293292289999999999999999999295293293294295294293296293295999999296296296999299298297300299300300301301301301301301302303303304304303303303304303303302303303304304304306306306305304304305304304302303302302304303302302302302304303305305305304304305304306306306306304305306306306306306305305304304305305305305306306305305305306305304304304304303304303302303304304305304304303306306306307306306304304304306306307308306307308307305307307308308306307307306306306307306305305306307306306305305304303304307307304305304306306304305304305304302305305305305304303303304304303304304304303304305302304304303303303303304304304304302302302303303303303302302303304305305305305305304304306305305307305306306307307305303303303303302302302302302300301300301301302301302302303303303302302303302303302303302303302302303303303302304303303303303303303303303303302304304304303302303303303303303303303303302303302301301301301301300300301301302302301302302301300300300300301301300299299300299299300300300301302302300301301301301301301301301301301301301301299299298299298299298298298298298298298298298298298298298299299299299299299299298298298299299298299299299299299299300299300300300300300299299299298299298298298298298299299299299299301300300300300300301300301301300301300299299299298298299299299299299299299299299299299299299298298298298297297297297298298297297297298297296297297296298297297297297297297297297298298298297297297297297296296296296296296296294296296296298297297296297297297297296297297297297296296295296296296297296296296295294294295296296295296296297296296297297296296296295296295296296296295295296296296296296297297297297296296295295294294294295294294294294294294294294295295295295295295296296296296299 294291292296296295295295293294294294294294294293293295292291290291296289290288294289293292296292288289290290292291290290296288289291292293298299999999999999999999999999999999999999999999999293999294294293294294292292293292292293290290290290289290290290291290289289289289289290290290290290291291292292291292292292292292291292293293292293293294294294293295295295295295295293293293294294294294294294293293294293294294300295295295295296296298297297296296296295296296295295296295296296296295295294295295294297293293293292292292293294293294294300298295295999999999999291292294294292293293294295292294294294295294293294297295295296296294297295294295295294294293293293291294292293294999999999999999999290291999294295293293292293290292292293295294295294292296296296296295999999999295296299300300301300300300300301301301301300302302302303303304304303303303304304305304304303303304304304305304304303304304302304302303302303303303303303303303303304304304305305305305306306305305305305306305304305305304304304305304305305305306306305305305306305304303304304304303303302303305305304304304304305303305305305305304304305305306307308306307306306306307308308308999308307306306306306306305306307306307305306305305305305307305304305305304305304305304303304304303303305303304304304304303302303303303303304304304304303304303302303303304304303303302302302302303302302304303303303304304304305303304304304304305305305306306306304303302303302301302302302302300300301301301302302302303303302303304302302303303304303303304303303302302302304303303302302303303302302302303304304303302301302303302303303303302303302301301301301302300300300301300300301301301301300301301301300300300299300299300299300299300300301301301302302302301301301301301301301301301301301300300299299299299298299298299298298298298298298298298298298298299299299299299299299298298299299299298299299299299299300300300301301300300299299299299300299298298299299299298299299299300299300299299300300300300300301300301300299299299299299299299299300300299300300300299299299299299298298298299299298299297297298297297298298297297297296298298298297298298297299298298298297297297297297297296296296296296296296295295296296297297297297296296296296297297297298297297297297296296296297296296295295295295295294294295296296296296297296297296296295296295295295295296296296296297297297297298298297296296296296295295295295295294294294294295295294295295295295295295295296296295296298 291293294297299296296295294293294295294292292292292292293292293293295294291293288295290295290291287288291292291291292295296295290290292292297299999999999999999999999999999999999999999999294294294292293293293293292293292292291291291292291290290290289290289288288290289289289290287290290290291291292291290291292292292292292293292293293293293293293294293295295296295295295294294295295295294294294294294293294294294294296295295295295295295296298297296296295297296296293295296296296296296294296295295294295293293293293291292292293294294297296296296294999999999999291292294292294292292293291292293293294294294294293294296295293294295294295295295294294294293292292290291292293290292296999999999999999999295999297296295293293293294293294293294293294295292298295295296297296295999999999301301302300301300300299301301302303300302301301303303304304304306304304305304303303303302302302304305303302302302303303304303302301302302304303304301302302304303304305304303304304306305305305305305305305305304304304304303304304304305305305304304305305304304304303304304303303303302304306305304304305305304304305305306305307305306307307307306308307306305306307307306308308307307306306306306306306305305304305306305305305306306305306304306305305304305304304304302303302303300304304304303303303303303302303303304304305304304303303303303304304303303303301302302302302303303303303303303304303303303304304304304305306305303304303304303302302302301302301301301302301302302303303303301303302302303303303302303304304304303303303303302302301301303302303302302303302301302302303303302301302302303302302302303302301300300301300300300300300301301301300301301301301301300300299300300299299299299300300299299300300301301301301302301301301302301301301301301302302302300299299299298299298298298299298298298298298298298298298298299299299299299299299298298298299299299299298299299300300300300300300300300300299299300299299299299299299299299298299299299299300299300300300300300300300301300300300299300300300299299298299299299299299300300300299299299298298298299300299298299299299298298297297297298298297297296297297298298298297297298299299298297297298298297296296296297297298296296295296295297296297297297297297296297297298298297297298297297297297297297296296295295295295295295295295296297296296296297297296295296296296297296297297296295298297297298297298297297296297297296295295295295295295295295295294294295295295295295296295295295294296295 294295295298299298300297296294294295295292293293292292292294293293294295296293297288290292289289292293293292295300293300296293294293293289296297999999999999999999999999999999999999999999295294293292292291291291291291291292291290292291291290290288288289288288289290288288289290290289290290291292291292292292292292292293293293291292292291292293293292293295296294295295295295295295294295295294294294294294294294295295295295295295296296295296297297296295296296295295296295295295296296295294294295295294295293293292292290292292293294295296295294296999999999999290291291293293292291292293291291291293292291292294293293294296297294293293295296295294294292291291294294293293292290292296293297999999999999999293297295293294294296297296295293293293296295294296296296296296295999999999999299299300299301300300299300300301302303302303303303304304304305305304305304304303303303301303302303303301301303303302301302303302301301302303303304304302303303304304306305304305305306306307306305304305305305305305305305304305304305305305305304304304304304304304304304304303304304304305305305304305305305305305305305305306308306307307307307306308307307307307308307307307307307307305305306306306306304304306305306304305305305305306305304304304303303304303303302303303302304303303304302303302303302301303301303303304303304302303303303303303304304303303302302302302302303303302303303303303302303303303305304305306307305305303303304304303303300301301301301302301301302303302301301302302302302303302301302304304303304302303302303302302302301301301303302302302302302302302302303302302302302302302303302301301302301300301300299300300301301301301299301302300301300300300300300300299299300299300300299300300300300301301302302301301300302302302302301301301301301301300300298299299298298298299299298298298299299298298298299299299299299299299299299299298298299299299298299300300300300300300300300300300300300300299299299299299300299299298299298299299299300300300300300300300300301301300300300300300300299299298299299299300300300300300300300300300299299298299299298299299299299298298297298298298297298298297297298299298298298300299298297296297298298298298297298298297297296296296296297297297297296296297297297297298298299298298298297297297297297297297297296296296296296296295295296296298296297297297296296295296297298296297297297298298297297298297298297297296297297296297296296296296295295295295295295295295295295295295295296296295296297 296293296299296301300299297294296295296292293292293292293291293292294294295295295293292291294292293293292292295292292297294292291293292294295292999999999999999999999999999999999294295294292292292292291291290291291290293293292290291292292291288288288288288289288289289288290290289289290291290291292292292293292292292293293294293293293291292292293293293293295295295295294295295295295295295295295295295295295295296296296295295295295295296296297297297296295295295294296295295295295294293294292295294294292292293292291290292292293293294293291297999999999999296293292290290294295294294292291292292293293292292293294293294296294293294294294296293295294292293293291292293292292290287287290292293999999999999292293292293293297299298296295295295297297295297298297297296296293999999999999999299999300301300298300300300301302303304303302302303304304304305305305304304303302304302303302302301300301302302302302302303302301302303303304304305304304303304306306304304305304304305305305305305305305305305305305305304305305306306305305304304304304304303304303304304304304304305305305304306306307306304304305304306305309308307306308308309309307308308307308308306306306306306304305307306306306306307307306305305304305306306304304306303304303302303304303303303303302301302304304302303302304303302302302302302303304303303303302303303305305305304303303302301301302302302302303303303303303303303303304304305305306305306303303303303304304302302302302302302303302302301302301302302301303303302302301302303304303303303303303303302301301302301301302302301302302302303302301302301302301302302303303302301301302302301301300301300302301301301301301300301302301301300301300300299301300301301300301301301300300301301302302301301302301301301301301301301301301301301301300299299299299299299299299298298298298299298298298299299299299299299299299298299299299298299299300300300300300300300300300300299300300300300300300300300300300300299299299299299298300300300299300300300301301301301301300301300300299299299298299299299300300300300299299300300300300300299299300299299299299299299299300299298298298298297299299298298299298298300298298297297298297299299300299298298298297297297297297297297297297297296296297297298298298299298298298297298297298296298297296297296297296296296297296296296297297297297297297297297297298297297297297298298298298298298298298297297297297297297297297297297297296296295296295295295295295295295295295297297296297298 298298298299294296298297298295294295294294293293292292294291294294293296294297297295292296295295295295299295295294295293294294295292293292294292999999999999999999999999297297294294293292291291291291291291290291292292292293292292289291292290290288289290288290290289289290290290291290289291291292292292292293292292292293293292292292292292291293293293293294295295295295294296295294295295295295295296296295295295295295295295294295295295295295295296295295295296296295295295295293294294294294292289292293292292293292290290292292293293292292999999999999293291292292292289290290290291295293292292292295293293293294294294295295294294294296295294295296294293293293289292292292291289291293292292290999999999294295293999999294299299295295294296296297299999296297298299296297296999999999999999999999302301299301299300300301302303303304303303304304303305305304304302303302302302302302301301301302301302302302303304302303302301303304304304304304305304304306305305304304304303304305305305305304304305305306305306303304304304304305304305304305304304304303303304304305303303304304305304305305306305305304305305305305308310308308308309309308308307307308308308306306307307306305306306306306306305306306306305306304305305304304305304305303303303303303303303303304303301302303302301301303303302303303302302302303304303303302303303303304304304304303303303302302302302301302302303303304303303303304304304305305305306305304303303304304304302303303303304303302302302301302302303302302302303303303302302303304304303303304303303303302303302302302301301302301300302302302301302302302303302302302302302301301301301301301300300300301301302301300301300301301301301300300300300300300300301301302301301301301301302302302303303302302302302301301301301301300300300300301300300300300299299299299299298298298298298298298299299299299299299299299299299299299299298298299300300300300300300300300300300300300300300300300300300300300300299300300299299298299299298300300301302301301302302302300301301300300300300299299300300300300299299300299299300300300300300300300300300300300299299300300299299299298298298298298298298298298298298300298297298297298299299298298297297297297297296297296296297296297296297298297298297298298298298298298298298299298298298298298297297297297297297297298298298297298298297298297297299298298299297299299297297298298299298297299298299299299298298298298298298298297297297296296296296296296296295295295296297296297297298 297299299298296298299297298297297295295295294293292293294294296294295296295297298296292293295293294294294294293293295292292295294293293293296291999999999999999999999293295295292291291291289289289288290290290291291291291291290290290290290290290290289288289287290290289290290291291293290291292292294293292293292291292294293293293292294292292293293293294294294295295295295295296296296295296297297297297296296297296296295296296295296295296296296296296295295296296295296296295296295294294294291290293293293291293292291291292293294294294999999999999294292291290289292287290290290290291291292292293294295294293294294294294293294292295294295295294295294294292288288293292289288290291293291290288289292293292293296296295298297297296295295294298299298296295296297296297298294999999999999999999999297300301300300299300301301303302303303300301304304304304304303303302301302302301301302302301301301303303302303302303304303303302304304304304304303303304304304304303303303304304303305305305305304305305305305305304305305303304304304304304304304304304303303303303304303303304304305305305304306306306305305305305305307309308309309308309308308307308307307306306307306305305305306306306307305305305306306304304304305305305304305304304303303303303304303303303303302301301302301301300302301302302302302300302302303303303303303304303303304304305304303302302302301301301303303304303303302302303303303304304304305305305304303304304303301304303302303303303302302301302301302302302302303303302302302303303304303303303304303303303302303302302301301301301301301302301301301302303303302303302302301301301301301301300300300300300299301301300300300300300300301301301301301300300301301301301302302301302302302303302302303303303302302302301301301301301301300301301300299299299299299299299299298299299298299298298298299299299299299300300300299298299299299299299299299300300300300300300300300300300300301300299300300300300300301300300301299300299299299299300300301302301303301302302302302301302300300300300299300300300300299300300300299300300300300301301301301300300300300300299300300300301299299300299299299299298299299298300299298298296297299298298299298299299297297298298298297298297296297296297297298298299298298299298299299298299299299298299298298298296297298298297298299299298298299298299300298298297298299298299300298298298298298297298297299299298299300299299299298298298297296297297297297297296297297296296296295297297297296298 300298297300297294296298299299299295296297294294293294295296296295294295294298297295293293295295294295293294294293295294294294294294294294295293999999999999999999292290289292290289288288288288288288288289290291291291290289290289288291289290290290289289289287291292290290291290290291291290292291293292293292292291290292292292293293293293292292293292292293294294295295294294294295296295296297296296295295296296296295296296296296295296296295296296295295296296296296295296297295294295293291292292293293293292292293292288293294295294999999999999291292291290290291288288291291290289292291292292291293293294293294295294293294294293295295295294298295296295295291291291291289289291289288290292292291294294294295295297298298293294292296296297297299298296999295297296999999999999999999999999999999999300301301300300300299302303304303302302300305305304304303304303303302301302301302302302301301301303302303302303304304304303303303304304304304303302303305304303303302304302303303304303304304304304305305304305303304303304304303305304305304304304304304304303303304304303303304304305305304306304306306306306306306306307307309309308307309307308308307307306306307307306306305305305306306305306305304305304303304305304305304305304303302303303304303303303303301301303301303303302302301301301302302302302301302303303302303303303304304304304304303303302302303302303301302302302303303302302303303304304303304305305305304303304303303303302302303302303302303303303302301301301302303303303302302302302303304303303304303304303303302302302302301301301301302302302302301303303303302302302302302302300301300300300300300301300300300301300301301300300301300302302301301301300301301302302303302303302301302302303302302303303302302301302303302301301302301301301301300300300300300299299298299299298298298299299299299299299299299300300299300299299300300300300300300301300299300300301300301300300301301301301300300300301301300302301301300300300300300300300299300301302303302302301301302303303301301301300300301300300300300300300300300300300300300300301301301301301301301300300300300300300300300300299299299299299299299299299299299298299297298298298298299298298298296297297298299298299297297298298297297298298298298298299298298298299299298298299298299299298297298299297298298299300299299299299301299300300299299298300299300299299299299298298299300300300299299299299299299299298298298298297297297297298297297297297297297296297298298297298 300299298302298295301300301300300297298299297294295293295297294296297294293293294294296294294295292294292297297294293294294294294295295294293292999999999999999288289288287288287287287287287288289287288289289290291290289288289290289290289289289291289289291291292292292293291290290291290291290290293292292292293294291293294293292292292292292292292292292293293293294294294294295295295295295295295295296296295296296296295296296295295295295295296296296296294297295296297296295294295296295293291292293294293288293292291291293295296999999999999290289289291291292291290290290291291292292292293294294297295295294295295294294294294294295294293294298297296295291293291291290289290288290291292292293293293295296294297298298296295295294295296297299300299296999999298297999999999999999999999999999999999300300300298300300300303301302304304302302303302303302302301303303303303302302301300301302302302303304303303302303303303303303303303305305305304304303303303303303303302302302302303303303304304305304303305305304304305305304304304304304304305306305304304302304304303304303303304306306306305307308306306306306306306305306310308308308308309307307306306306306307307306306306305306305306305305305304304304303304305305305305305304303303304304304302303303301301302304302302302303303302302301302302302302302303303303303303303303304305305304304303303303303304303303302303303302302303303303303304304304304305306305304304304303304304304303304303303303303303303303303302302302302303302303303303303303303304303304304304304303303302301302302302302302301302301301303302302302302301302301302301301301301301301301302300301301300301301301301300300301301301302301302302301302302302302302303303303302302302302302302302302302302302303302302301302302301300301302301301300300300300299299299298298298299298299299299299299299299299300300300300299300300300300300300300300300300300300300300301300300300300300300300300301301301301301301301300302301301301301301301302302303303303303302301302302301302301301301301300300301300300300301300300301301301300301301301301301301301300300300300300300300300300300299299299299299299299300299299300299299297298298298298299299298297298297298297298299298297297298298297298298298298298298298298298298298298298298298297299299299298299299298299298299300299300300300299300300300299300300301299298299301299300300298300299299300300298299300299299299299298298298298297297298297297298298298298298298299298299298298 301301296300302298303302299299298299299298297297296296296297296294294295298295296295294293294294295296293295296294292294293296295293295294294292291999999999999289289287287288288287287287287289288288287288289291289290290291290289290289289289290290289289292292293293293292291291292292289290291292291292292292294294293295293293292292292292291292293292291293294294294293294294293296295295295294295295295295295295294295294295295295295294295294297297297296295296296296296295293294296295294293292292291292293293293293291292293294999999999999288289290291291292292292291288291291291293292291291295293296296295294295295294295293293295295294295293295297295293291292293291291290290291291292294294293294294295295293293295296295296295297296298298299300300299999999999999999999999999999999999999999999300301301300300301299301301301302304303303303303303303303302302302302302301301301301300301302302303303303303303302303303302302303302304305305304303304303303303302302302302302302302302302302303304304304304304304303303304304304304304304304304304304304303304302304303303305304304304305306306307307307308306305305306306305306308308309307307308307305305306306306306307306306306305305305305305306304304304303303304305305305303304303304303303303304303303303302302302302301302301303303302302301300300303303303303303303304304304304304304305304304304303304304304303303302302303303302303303303303304304303304304304304303305304304305305304304304303303303302303303303302302302302303302303303303303303303302304304304304304303303302303301302302302302301301303302302301302302302302302301301301302301301301301301301301302301302302301301302302301301301301302301301300301301302302302301303303302302302303302302301301301302301303303303302301302301301302302301302302301300300300300299299300299298298298298299299299299299298299299299300300299299300299300301300300299299301301301300300300300300300300300300300299300301301301301301300301301301301301301301303303303303304304304304302301301301301301300301301300300300301300300300301300301300299300300301301301301301301301300300300300300300300300300300300299299299299300300301300300300299299298298298299298298298298298298298298297298299298297297298298298298298299298299299299298298298299299298298298298299300300300298299299300299300300300300300301301301302302299301300300299299300300300299300300298300299301300298299299299300299299299299298298298298297298298298298298298298297298298298298299 302300300301304302301303300299298298299300297296296295299293294293293295293294292295294291294289292296295295294295291291290293294294293295294291999999999289290289288288287288287286287286287287287287288289289290288289290290289288289290288291292292290292291292291292292292292291291292291291291292293291292294293294294293294294293292292292292292292292291292294294294293293294294294294293294294295296295294295294295295295296295295294294295296297297295295294295297296296295294295296295294294289293292292292292291291293295296999999290290289290292293291293294294294292291290293293293292291289294293296296296295295297297298295296297296296295293294295292292293291291292291293292292294293295294294293291293293291999294294295297297298297297299299300300302999999999999999999999999999999999999999301301300300301300298300300300302304302303303302303302301302303303301301301301300300300301300301301301303301301301301303302303302302302302303304304304304301302302302301300300301301301302302302303303303302303303303303303302303303302302304303302302303303303304304305304305306305304305306305305307307305306305304306303306306306306307306307306308307306305306306306306306306305305305304303304304305306305303303304304306305305303304303303303302303302304303303302302302302302301302302302300301302301302301302302302303303303303304304304304304304303304303303304303303303302303303303303304303303304304303304304303305305305305303304304304305303304303304303303302303303303303303303302303303304303303303303303303304304304303303303302302301301301301301302302302302302301302302301302301301300301301301302301301301301302304303302302301301301301301301302301301300301301302301302302302302302302302302302302302301301301302301302303303303303302302301302302302302302301302300300300300300299300299298298299299299299299300299299299299299300300299299299299299299301300300300300301300301301300300300300300300300300300301301301301301301301301301302301302302303303302303303304304304303302301301300302302302302301301301300300300300300300300301301301300301301301301301301301301301301300300300300300300300300300299299300300299300300300300301301300300299297299299298298298298299298296298298298297298298297297298299299299298298298298298298298298298298299299298299299300299300300299299299300300298299301301301301302301301301300300301300299300300300300300300299300300299299300300300300300300299299299299298298298298299299298298297298298298297299300300 306304301299303306304302300300299299300300299298294292294296295297294293292292297296296297295291289295293296293293293291291292295294294294294292292290289289289288289287287287286287286286286286287287288288288289288290289290289289289289289290292290290291291291291292293292291292291292290292292292292292292292294293294294293294294292292291291291291291292293294294294293294294294295295294295294294296296294295295295295295296295294294294296295296295295295295296296295293293294292295294291293292291290291291292292292293292999999999289289291292295293292293293292292293293292293294294292296291294293294294295295296295298297297297297296295296294295294294293294292292292293294293292292293296297293294293294295999999999999295297298299299296299999301301301999999999999999999999999999999999999999301298301300299298300300298299300302301301301302302301302303303302303302302301300300300301301301302301302302303302302302301302302302301301302304304303303303302302302301300300302301301301301302302303303302304303303303303303303304304301303303302303303303303304305306305306307306305305306304304305307306306306305304303303303304306307306306306304306306307306306306305305305305305303303304305304305305304305304305305306306304303303305303303303303303304303302302301303302301302303303302302301302302302302303303301303303304303304304304304305305304304303304303303303304303303304303303304303303303303302303305303304305304305305304305304304304305304304303303304304304304303304304303304304305305304303303303304303304304303303304303303302301301303301303302303303302302302302302302302302301301302303302302301301301302303304303302302302303301301302302301302302302302302302302302303302302302302303302302303302302301302301302303303303302303303302302303302302303302302300301300299300299300299299298299299299299299299299299299299299299299299299300299299299300299299300300301301301300300300300300300300301301300300301301301301301301300301301300301302302303303303303303302303303302301301301301301301300301301300300300300300300300300301300300300301301301301301301301301301300300300301300300300300300300301300300300300300300301301301301300300300298298299298298298297298297298298298297297298298298297298298298298298298299299298298299298298299299298298298299299300300299300299300300300299300300301300301301302302300300300300300301301300300300300300299300300301300300301301300301300300299299299299299299298299298298298299298299299299299300300 999302299299305301303302299299295299299300298294296293293296296295294295296295296296295295295293292295291292292291294293296294296294293293292291289289290289289288289287286287287287286286286286286287287288288288288286289289290289289288289291291291292293291290290292292292291292292292291291293292293292293293294293293294293294293292292291291291291292293294293294294294295295295295295294294295294294294294296296295294295295295296293294295295294294295295295294295294293294293293295295292292292292291292290291291293293292999292290290291292292292293296295295294293292292292293294293294295294293294293294296295296297299298297298299296298298296295292294294295293292295293295295293294292297297294296999999999999999999999999296298298296297999999999999999999999999999999999999999999999999999999999999999300299301301300299299301302300302304300301302303304303302302302301300300300300300300300302301302302302302300300300302302302301301302302302303303303301301302301300300300300300300302302303303303302304302303303302303303304304303303303302303303303303303304305306306304306306306305303305305307307307308304302304303303304305304304304305305304306306306305305304304304304303303304304304305304305304305305304305306305303304304305303303302301304304303303302302303300301302302302302301301302302302302303302302303303303303304304305304304304304303303304303303302303303304304304303303304304304304304302303303304304304304304305304305303303303304304304303304304303304303304303303304305305304303303303303303302303304303303304304304303303301301301304303301301302301302302302301303301301302302302302302302303302305303303302302302303303302302303303302302302302299302302302303302302304302302302303302303302301301301302302302303303302303302302301302302302302301302301301301300300301300300299299299299299299299299299299299299299300300299300299299299299299298299301300300301301301301300300300300300301301300300300301300301301301301302301301301303303303302303304303302303303303302302301300301301300301300300300300300300300300301300300300300301301301301301301302302301302301301301301300300300300300301301300300301300300301300301300300300300301299297297298297299298296297298298298298298298298298298299299299298299299299299298299299298300299297298299299299299301301301300300300300301300301301300301300301301301300300300301303302300299299300300300300302301302301301301301301300300300299299298299298298299298298298299298298299299300300301 999999300300299298300304298297298297296295296297296296297296298295296293294295297296296295292292291288291295292290291293296295295294294293294290290290290290289289289288287288287286287287287286287287287288288287288288287289289289287289289290289291291293292293292291292291291291292291292291293293293293292292294293293294294294293293292292292292292292293293293294295296297295295296296297296295295295294295296296295296296296297296294295295296296295295295295295295294293294293293295294293292291290290292291290292293293293293293291291292294293292296296295294294293294294293294294292293292294294295295295295296297296296296296298297298299298298300297293295294293291295295294298296296295297296296296999999999999999999999999301300297298296999999999999999999999999999999999999999999999999999999999999301300303300301300300300301302302303302301300303304303303302302301300300299300300299300300301299301300300301301300300301302302302301302303303302302302301302302301301300301301300301301302302303302303304303302303303303303304303304303302302303302302302302303303304306306305305304305305305305307307306305304304304303303304303303303303305305304305305306305304305305305305305305305304304305305305305305304305305305304304304304303304303303303303304303303302303302300301302302302302301302302302302301301303303303304303303304305304305304304304304303303303303303302304304303303303303304303303305304303303303303301304304305304303305304302303304304304304304303303304305304303303305304305304304303303304303303302304303304304304303302303302301303303302301302301301301303302303303303303302303303303303303303304306303304303304303303304304303304303302302302303301301301301303302303303301302302302302302302301301301302302302303301302302302301302302302302301302301302301301300300300300300300299299300299300299299300299299299300299300299299299299298299299299299300301301301301301301301301301300300300300300300300300300300300300301302302302302302303303303302302303302302304303302301301301301301301301301300300301300300300300300300299300301301302302301302301302302302301302302302301300301301301300301301301301301300300299300300301300299299299299297298298298298299297297298298298298297298298297298299299298299298298299298299300299299299299300299300300300300301300299300300300300300299300300300299300300299301301299302300301302301300300300301301301302302303301301301301300300300300300300300299298299298298297299299298299300301301302301 999999999300299298299298296298297298297296292294294297297299299297292293294294295296294293293292296293292294290293291294292293292293292292293291289289290290289288289288288288288286288286287287288286288288288288289289289289289288290288290288290292292292293293293292291291292291292290292290293293293293293293293292292293293293293292291292292293292293294294294295295296297297296298297296294294294295296297297296295295297296297294294294294294295294294295294294298294295294293294295295294293292291292292292290290291292290999293293291293294292295297297295296295295296294293294294293294291293294295295295297296297296296296296298298298299298300300298295296295296293295297297294296295293296299298296999999999999999999999999299298300298999999999999999999999999999999999999999999999999999999999999999299298300301305301300303303301303302302302300303302302302300301300299300299299299299301300300299300300300301301301301301302302301301302302302301301301301301302301301301301300300301300301301301301303303303303302302302302303303303303303302302302302302302302303303305306306305303304304304305305305304303303304302304304302303304303303304304304305305305305304305304305305305305304304304306304307307305305305306306304306305304304303304303303304304303303302302301301302301303303302302303303302303302302302303303302304304305304304304304304304303303303303303304303303303303303303303304303303304304304303302303303304304304304305304304303304303304304303304304304305304305304304304305304304303303304303303303303304304304305305304304302302302302302302301300302303302303302302302303303302303303303304302304304303304303303303305304303303303304303303302300302303301301300302302300302302303303302302303303302303301302303303303301302303302302302303302302301301301301301301301301301300300299300300300300300300300299300300300300299299299300299299298300299299300300299300301301302301301301300300301300300299300300300300300300300300302302302302302303303303303303303303303304304302301301300301301301301301301300300300300299300300300300300300300301302301302302302302303302302302303302302301301301301301301300300300300299300300301301300300300300299298298298298299299300297297298298298298297299298299298298299299299299300299299299299299299299300300301301301301301301300301301300299299300301301300300300300301300300299300300300300300301298299299300300303302302302301303301301301301300300300301300299300298300299299299300300301300301301302 999999999299298303299300298296296296297296298297293293297296297298293297292292292290294295296296293294294295296293293294295295293292292290291290288288289288289289289289287288286287288286287286289288288287289289290289289289288288287287289289290291291292291292293291290291290291291292291291292292293292293293293293293294293293293293293292292292293293294294295295296295296298296296296295293293295295297296296297296295295295294294294295296295295294295294297298300296295294292294295294294292292292292292291290293293292293292292292292291293293292296296297296296296296294294295294293294295294294294296296297297298297298296296299299301300300300297297297297295295295297298296296296294293293297299999999999999999999999999999296293999999999999999999999999999999999999999999999999999999999999999999999999297300300301301298302303303302302302303302303303301301301301299299300300299300300300300300301300300300301301301301303301301301301301301301302302301301300301301300300300300300301301301301301302302303304305303302302303303303303303303303302302301302302302303304305305305303303303305305305304304305304303303303303304303303302303304304305303304304304302303303303303304304305303304304306305304304305304305304305304304304304304302304303304304303303302302301301302302303302303302302303303303302302301302302303303304304303303302304305304304303303302303303303303303303302302304304304304305305304305304304303304304305304305303304304303304304304304304303304304304305305304304304304304303304304304305305305304305304305304305305303304302303303302302302302302303303303303302302302303302302301303302302305304303304303303305305304303302303304304302303301303303302303302302301301302303303303303302302302302302302302303302303302302302302302302303302302302301301301302301301301301300300301301301301301300300300300300300300300299300299299299299299299299299300300300300300301301301302302301300301301301301301300300300301301301300301302302301302302302302302302302303303303302302301301300301301301300301300300299299300300299300300301300301301302301302302302302302302302302303302302302302301301301301301301301301301300300300301301300300300300299299299299299299299298298298297298298298298298297299298299299299299299299299299299299299299298300300301301301299300299299300301301300301300300300300301300300301300300300298299301301301300300301301301301301300300302303303302301302301300301302302301301301298298299300299301301301301302303302 999999999297304306299301298297297295297297298297295296298295295296296295295297298298296294296298295295296294293293294292293292292291291290291292290290290290289288289289286287288289288288287286287287287289289289289290289288288286288288290289291290290291290291292291290291290291290291293292292292292291292293294294293293294293292293292292292293294294294295295295296296296297296296295295295294294294296297297297297297296295294294294295295297296295296294297296298294294294293293293295294292293292291291293290293291292290292289293295294292293294296297297295296296296297295295295296296294294295294295295295299298298300295297299298298299300299299297297296296296297297296296294293295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300299300302303301304304303302303301302302303303302302302299299297299300300300300300299300301300300301301302302301300300300301301301301300300301301301302301301300299300300300299300301301301301301303303304302302301302303302302303303302302302302301301303304305305304305303303304303304304304304305304304303303303303303303302304305304305305304304304303303304303304303303303304303304305305305304304304304304305306304305305303303303302303305304304303304303303303304302303303304304303302302302303302302303303303303303304303303305303303303303303303304303303302303303303302303303303304303304304304306305306305303304305303303304305305303303305305305304304303304304304305304304304304304304304304304304304304304305305304305304304304303302303303302301302303303303303304304303303304304302302303303303303302304303304302306305304304303302302303303303303303303302302302302302302302303303303303303302302302303303303304303305303303303303302303302302302301301301301301301301301300301301301301301301302301301301300300301299301300300299299299300299299299299299299300300300300300301301301301301301301300300301300300300300301301300301301301302302301302301302302301302302302302302301301301301301300300300300299299299299299299300300301300301301301301302302302302303303303302301302300300301302301300301301301300301301301300301301301301300300299298299298299299299298298299298298298298298297297297298298298298298299299300299300300299299300299299301300301301300301300300300300301300301300301301301301301301301300301299300300301302301299301300302302302302302302302303303302303301301302302301300303301300299299298302300302302303302303302302 999999999305309307309304300300297297300300299299299297298298296296297298296297297297299296295295297295293294294293292292294293292292291290290290291290290290288288288287287288288288288288288286285285287287292289288288287289289289288288290289290290291290290291291290291290290291290290292292291292292292292293293293294293293293293292292293293293294294294294295295296296296296296296295295295295296296297298296297296296296294294294294294295296296296295295294294297294293294294294293293290293293292293293292293294293999291293292293295295292292293294296296296297297297296297297296295295293294294295296296298298299299300297299299299298299300300299297297296296296297297296293999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301300300303303303302303303301303302301303303302301302300301298299299299300299299299300300300300301301301301301300300299300300300301300300301301301302302302301300301300300300300299301301302301300303303304303303301301301302302302302301301302301301302302304304303303304303304303303303303304304304304304304304303302303302303304304305305304304303303303303305303303304303303303303303305305305304302304304304304305304304304303304303304303303303305304304303303303303303303302303304303302302302303303303301302302302302304303304304303303303303304303304304303303303303303302302303303303304304303304305306306304304303304302304305304304304304305305305304304304305305305304304304304304305304304303304304303304304305303304302304304303302303303304303303302304303303303304304303304304304302302302303304303303304304303301305305304303302302302302303303302302303303303301302302302303303304304303303303302303303303304304303304303303303304302302302302301301301302302301301300301300301301301301301301302302301301300300300300301301299299299299299298299300300300300300300300300300301300301301301300300300300301300300300300301301301301301301301301302302302302301301302302301302302302301301301300300300300300300299299299299300300300301301301302302302302301301303303303303303302302300301301301301300301301300300300301301301301301301300299299299298299297299299299299298298298298297298298298298298298298298299298298298299300301300300300300300300301300300302301300301301302301300300300300302301301299301301301301299299299299300302302300301300300301301302302301301302303301302302301302302302302302301301301301301302302301302301303303302302 999999999306309309301305304299301298298299299298297296296295297296296296298293295298295295293296295295293296296294294294292291293292291293292292290291290290287289289287288286290288289288290287286286286288287288289289289289288289290290289290289290291291290291290289289290289291292290291291292293292292293292293294294293295294293292292293292293293294294295294295296295296296296297296296295296297297297296297297296295295294293295295293293294296295295295295295296296291293294294294293293292292293293292293293292292288291291292295295293290293294295295296297297297297298297297296296295295294295295296297297297298298299299299300299299300300299298299298297297297298296294294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300301302300302303304304302302302302301303304302301301301300300300300299301300299299299299301301300302301300299300300300301300301300299300301301302300301301299301300300301300300301300301302302302302303302304302301300301301302302302300301302302301301302304304304303304303304304303302303304305304304304304304304303303303302304305305304304304303304303303303303304303303303302303304304304305304303304304304304305304305304304305304304304304304303303303303304303303303302303303304304302302302303303303303304304302303304303303303303304303303304304303303303304303304303303304302304304305306304303304305305304304304303303303305306305304305305305306305305304305304305306305305305305305304305305304305304305303304303304304305304304303304303304304303303304304305302304305304303304304303303303304304304305304304303304303304303303302302303303304304302303303303303303303303303303304304303303302303303303303304304304303303303304303303303303302302301302302302302302301301301301301301302301302302302301301300300300300300301300300299299300300299300299300300301300300300300300301301301301301300300300300300300300299301301300300301301301301301302302302302301301300301302302302302301300300299300300300301300299300300299300300301301301301301302301301301303303303303302303302301301301301300299301300300300301301300300301300300301301299299299299300299300298299299298298299299298298297298298298298299299299298298299299299299301299300300300300300300300302301301301301301302301301301302299302301301301302302301301301300299299301302300302301302302302302303303303303304302302303303303303304303303303302302303302301302300302302303303302302 999999999999305303304301300298301296298294296299298298298296293296296296296296297297290297297295296294294294294294293295291292292291290291291291289290291290289287288290290288289288289289290288289288286289288289289289288287287284290286289291288291290290289289289290289290291291291292291290291293293292293293293293293294294295293293293294293294294294295295295296296296297296297297297296297297297297298297298297295295294294294295294294296297297296295297294295298295294294295295293295293293293295294294294293293290290291292294296294292293294295295295296296296296297297297296296296296296295296296297298297298298298297299299300300299299298299299300298298297298298296294999999999999999302299999999999999999999302297296999999999999999999999999999999999999999999999999999999999999999999999999999999999999299299299298301302303301301301301298301302301301300300301300300300299299299300300299300300300300299300298299299299300300300300300300301301301301302301301300301300300299300301301300301301301302302303304304304302300300301301301301301301300301300302302303304304304304304303303302303303304304304304304303303302303304304304305305304304304304303303303303302301303302303302302303302303303303304303303304303304304304305305304306304304302304303302303304304304304303303303303302303304303303302303302303302302303303303304304304303304305303303304304303304304304303303303303303303303305304304304304304304303303303303303304303303305305305305305304305305303304305304305305305306305305306305305303303304304303304304304303303303304304303305303304304304304305303305304304304303304304304304303303304306304305305305305303304305304303302302303304305304302303302303303303304303301302301302302303302303303303303303304302303303303303302302303302302302302302302302302301301302302302302301302302301302301301301300301300300300300300299300299300300299300299300300301300300300301301301301300300300300300300300300299300300301301300301301301301301302301302302302302301301302302301302302302300300300299300300300300300300300301301301301300302301302302302302303303303303303302303303302301301302302301301300301301302302302302302301301301300300300300300302301300300299299299299300299300300299299299299299300300300300300301300299300300300301301300300301300300301301301301302302300302302301302303301301302301301301301302302302302303303303302302302302302302301301301301301302305302303303303303303304304303302302302302301302301300302303303303302 999999999999310309305298301296300294290287293298299297294296296296296296295295296297294295298297295296294294293293294295294292292291292291291291289290292289289289289290289290289289289289290290290288290289286289288287288287287285288288290291286288288290290290289290289290292291292292290291293292293292294292293293295294295294294294294294294295295294294295295295295295296296296297296297296298297297297297296296294296293295294294294295296296295296294296293296296295296297295295294295295293294294293293295294293291293295294293296296294294295296295296297298297296297296296296296296297297296296297296297297297297297297298299300300300300300301299298297297297297299296294999999999999300300300999999297294999999299297296296297298999999999999999999999999999999999999999999999999999999999999999999999999999296299299297299303303302300301301300300300300301300300299299300300299300299300300300300301301300301299299299299300300300300300300300301301300300301300300300301302299300300301301301302302302302302303304304302302301301302303303302300301300300299301302303305304304303303302302303302302303304303304303303304304303303304304304304303303303303302303303301302302302302303303302303303303304304304303303303303304305304304304304307305304304304304303304304304304304304303303302303302303304303303303303304304303303303304304304304303303305304304304304304303302303304304304304304302304304304304304304304303303303302302303303305305304305305305305305305304304305305305305305305306305305306305305304303304304304304304304304303304304305305304305305305305305306305305305305304305304304304304305304304305305305306306305304305304304303303302303304304303303304304304303304304304302301301302303303303303303303303304304303303303303303304303303302302303303303303302303302303302301302302302302302302302302302301301300301300301301300300301300301301301300300300301301300301300301301301302301301300300300300300300300301300301301300300300301302301300301302301302303303302302301301302302301300300300300301300301301301301301302302301302301301302302302302302302303303303303304303303302302302302302301301302302302302303302302303301301300301300299299300300300300300300300299300300300300300300300300298299299299300301301301300300300300300300299300300299300300300301301301301301301301301301301301302300300302301301302301302303301300302303301301302301301301300301301300301302303302303303303303302305305304304302302302301300302301302302303303302 999999999999303303306300300300293290290292298301299298295295297295296295295295295296295298299299296296296295294295295294294294293292292293293292291291292289290288289291291290290288290290290289289287290289288289289288288289290289289291289291287289289289289290289289291291291292292291292291293292293292293293295295295294295294294294294295295293294294294295295295294296296297296296296297296296296297296297295295295294294295296295296296295294295295294295294298296294295295295294297295293296295294293295295292291291293294294294295295295295295294295296298299299297296296297297297296296297297296296296296297296298298297298299299300300299299300300298299298297298299298298999999999304300298296999999295999999999297298297296296296296999999999999999999999999999999999999999999999999999999999999999999999999999298297297298301303299300300299300300299300300298299299298298299298300300299300299300302300299299299299300299300300300299299299300300299299301300301299301301301301302301301302301302303303302303302303303302302300301301301302301301301300300302301302303304304304303302303302302301302303304304304303304304304303304304304304302303303302303303301302300301302303303303304303303302303304303303304303303304303305304304305304305305304304304304303305304304304304303303303302302303303303302302303302304303304303303304305304304304303305304303303303303304302303303304304304304303304303303304304304304304304303302303304304305304305305305305304305304305305305305305305305305305305305305305305304303304302303303303303305305305303305305305302304305305305306307305304305305306305305304304305304305305305305305304306304305304303304304303302303304303305305304303304304305302302302301302301303303303303303303304304303303303303303304303303303303303302303303302303303303303302302301302301302302302302302302301301301301301301301300300300301300300299300300301302301301301300301300301301301300301300300300300301301301300300301301301301301301301300302301302302302302301301301300299301300301301301301301300300301301302302302302302302301302303302303303303303302303304304304303301302302302302302302301301302302303302302302301302301300300301301299300301301300300300299300299300301301300300300300301300299301301301301301301301300301300301301301300302300299300300300300299300300301301302304302303298302302303302303304304301304301303303303303301301301301301302303302302304304303303304304303304303303304303303303303302303302301302301303304 999999999999999308310301299299293292290297299301299296294295296297296294294296297298296298296296296297298293295296296296295295294294294293293295292292292291291290291292291292292291291291291288288287288288286289290290289289289289289290289291288289285289288290289288290290291291292293293292293293294293292294295294294294295295295294295295294295294296295296296296296295296297295297296297297296295296297296295296296295296296294294295294294294294295294294294297294295296296294298298296295297294294292294293292291292293291292293294294295294293294294296298299299297297297298297297297297298298298297298297296298298297299299299300300300300300299301300300298297300299299297999999295303302298296297295296295295999297297299297295295297999999999999999999999999999999999999999999999999999999999999999999999999999298297297298301301300301300300300300299299299298299299298299300298299298299299300300299301301297300300299299300300299299299300299299299299300299300300301301301301301300301301301301303300302303302303302303303302302302301301301300300299301999301303303304303302303303302303302302302304303303303304304304304303304303303304302302305303303303303300300301300302303303303303302303302302303303303303303304304304304305305304304304303304303304304304304304304303304303303303303302302302302303303303303303304304303303304304304303304304303302302303304303302303303304304304304304303304304305303304304303303304303303303303305305304304304304305305305306305306305305305305305304304304305304303302303303303303303304301304304304304305305304304303304307308307307306304305306306305306304304304304304305305305304305305305305304304303303302303303303304304305304304304303303304304303302302302302303302303303303304304304303303303303303303304304304303303303302302303302302302302302302302301302302302302303303302302301301301301301300300300301300301301301300301302302301301301301301301301301301302301302301301301302302301302302302301301302302302302302302303303303302302301301301301301301301302301301301302302302302303302303303302302302303303303303303304304303304304303303303302303303302303302301300301301302302302302301302302301301301301300300301301301300301298299300300300300300300300300301301301302301302302302300302302301301301301301300300301301300302303300301300300300303303303303302302301301302302301304304303302302302303303304303301302302301300301303303303305304303303304304304303304304304304302303303304303303302303302303303 999999999999999300304301300298297295297301303299300299296297297296295293296296296297295296298297296299295298296297297297296296296296295294293295293291291292291288291292293291290291292288289289288287289288289289290288289289290289290291290290289284287289288287289291291291292292293292293293292294294294294294295295294294294295293295293295295295296295295296296296297296296297297297297296297296295296297296296297298296297296295295295295294297291294294294296291295297298295296297296297295294294293295296294294294295295292292294294297294295294293294295297299298299299299298297296297298298298297298298297297298297297298299299300300300300301300301301298299298299297298999999999999303299297297999295296295299298299300299296296296298297999999999999999999999999999999999999999999999999999999999999999999999999297297297298299301299301300301299300300299298298298298300299301299299298301302301301303301301299299299299297298299299299299300300299300299300299300301300301302301301301301301301302302303303302302302302304304304303302302301301301300300300301302301302304303303303303303303303303304303303303303304303304304303303304303303303302301303303303303302300301301302303304303303303302302302303303303303303303304304304303305305304304303304305305305304304303305305304303304303303303302302302303303303304303303303303304304303304303303304304302301303304303303303304304306305305304304304303303304304304304304304304303304303305305304304305305305305305306305305305305305305304305305304304303304302303303304304303302302305303304304305304304304303306308307307307307305305306306306305305304304305305305303304305305305304303303304304304302303302304303304305304304304304303303303302301303303303303302302303303304304304302302303303304304304304304303303304302303303303303302302302302302302302302302302303303302302302302302302301301301300300301301301301300301302302302301302302302302302303301302302302302302302302302303302303302302302302303302302303303302303303303302301301301301301302302302302302302302303303303303303304302302302302304303303303304304304304303304305305304303304303304304303302301301302301302301302301302302302301301301301302303302302301301302301300300301302301301300301303300301302302301302302302301300302302302302302301300300302301304304301301301301303303303302302302303303301302303302302302300302301302302303302303303302302303301303303303301303303303303303303304304304304304303304303303302303303301303303304304 999999999999999296299302301299299305302294301301300300297295297296293295299298293294294298297299297297301298296299298297298298296295295295295294294294292292291292291293293292291292292292291289287289291291290290292290290291290289288290286289289290291291292292292289290291289292290291292294294295296296294295295294296296296295294294295295295296296296295294296297297296296298297298298297297296296296296297297298299297297297298296295295294297297292293293292292295296298298296295297298295296295295297295295295294297298999999296295296295294292294295295297299299299300299299298297297298297297297298298298298298298299298299301301301300300300300302301299301299299296295999999999300300299298296297297298295298299299300298297297294297297999999999999999999999999999999999999999999999299999999999999999999999999295297296297300301300296301301301300298299297299300300299298299298301301302302302302302302301298299299298298297299299299300300300301300299301300300300301301302301300301302302301302302304303303303302302303304302303303302302301301300301301301302300302302303303304302303303303303303303302304304304304303303302302303303303304300302303303303303303302302301302303303303304303303303302302302303302303303303305303304304306306304304304305305303304305305305305305304303305303303303303302303303303303303303303303303303304304303304303304302303303303303303304304304304305305304303303304304304304303303304304305303304304305305306306304305305305305305305304304304305305305305305304304304303303302303304303303304305304303303303304305304305306306307306308307308305306306305305305305305305305305305305304303305304304304304304304304304303304303304305305305305305304305304303302303304301303303302302301303303304304305303303304304304304304304304304304304303304303303303303304303302302302302302302303303303302303302302302302302302301301302302302302302303303303303302302302302303304303302302303303302303302303303303303304304303304304304303303303303304304303302303303303302303302303302303303303303303303304305304305303303303302303303303304303303304304303304305304304304304306304305304303303304301302300301300301302301302303303302301300301302302302300300301302301301302302302300301301300301301302300300301303303302301303302303303302302303302301302303302303300302305305306304303303303302302302302302303303302303303303302301303304301303303303303303304303305303303303303303303303304304304304304304304303303303302303302303303305304 999999999999301301304298301298299298302296298295295294295296296298298294299296296293295299295299297300299302298296301299298299297296294295295294294293293293292293292294293292292293292292293292291291292292291291291291291292289290290290291292291291291291290290290291293291290292290292292293295296295294294295295295296296297296295295295296295296296296296295297297297297297299298297298298297296297297298297298298298297298297297298296298297298298296293295297296295296296296295297295293295296295295295297298296297296295999296297295295293295293293294295297296295298299299299299298298298298299298298300299300299299300300301304303301301301301301302302300300298298293999999999298301300297299300300299299298297297298298298296298294294999999999999999999999999999999999999999999999999296294999999999999999999294297297297298301301300298300302298298297298298300301301298298298300300301302302301303303302298296296297297298298299299300300300300300301301301301299299300301301302302302302302301302301302304304304305302304304303303302302302302301301300301301301301302303304304304304304304303303303303303303304304304304303303303303303303303304302305305305304303303302303302305304304304304303304303303302302303304303304305305305306306306304304305305305305304304305306305305304303304304304303303303303302302303304304303303303303304304303303304305303303304304305305304304304304305305306305304305304304305304303304304304304303305306307306305306305306306306304305306304306304305305305306306304305304304304303305303303304305304303304303305305306304305306306306306306308307306306305305305305305305306305305305306305305305305304304304305305305305303305305306307305305305306305304305302302306304303303304304303304305304305304304304304304304304304304304304304303304304304303304304303303303303303303302303303303303303303303302302302302302301301302302302302303303303303303303302303303303304304303304304304303303304304303304304304304304304304303303303304303304304303304303303304303302303303302303303304304304304304305304304304303305304304303303304304303304304304306305303304305304305306306306305306304305302301299302302303302302304303303302302304303303302302300302303301302302302302301300301301302301302302302303303303302302303303302303303302303303302304303303303303304305306308303301302303302302303302302303303303303305303303303303303303303302304301302305302304303303303303304303303304304304304304303304303303303302302303303303305307 999999999999999999999299297304301300297299298298300298301306297297297296297296295296296301301304302298302304302299301297298302299297297296295296295293293293295295294294294291292293292292291293294288294293292292291291292293292292292292292293292292291287292290293295295294293294294295294296295296296295295296296297296296297295295295295295296296296295296295297297298297299299298297297298297297297297297297298298299296296297297296296297297299298293295292298296295295297295297299298295296296296296297301298296295297294294296297297297295294293294293295297297294296299298298300300299298299299299300299298299300300300301301302303302302301301302301301302300297297292999999999297298300299300299298297294292292291293296296296296296999999999999999999999999999999999999999999999999296999296295999999999999299297298298298299299299299300300300300298299299299300301301300298301303302300302301303302299297297297298298297299299300300300300301300301300300300301300300301299302302302302303302302303302302304303305304304304304303304303303302301302300301300301301302302302303303303302302302302302303303304304305305305304304304304303303303304305303305305304303303303302302303303303304303302303303303302302301303304304305305305306307305306304304305306305304304304305305306305305304304303304304303303304303303303302303303303303303303303303304304304304304304304305306305305304305305305304305304305305305305304304306304304304304305305307307306305306305305306305305306305306305305305306306305305305305304305305304304306304305304304304303302305304306305305306307305305307307307306305305305304306305306305305305305306305307306307305306307306304305305305305306306307306305305305304305304305304304304303303304304305305304304304304304304304304304304304305305304304304304304304303302305304303303303304303303303303303303303303303303302303303302303302302303303303303303304304304304304304303304304305303304304305305305305305305304304303304303303303303303304303303305303304303303303302301303303303304304304304304305305305306305304304304304303304304304304304303305304305305305305305304305306306305305306305304304303302302303301302304304305304304304306305304303303301302303303304304303302301301301301302302301301300302301302303302303303302303303301303304303304302303303304302304305303302301302303303303303302302302302302303303303304304303303303303304304302301302302302304303304304304303304305304304304304303303303303303304303302303304305305 999999999999999999999999300307301301301299300299299300300299298297298300292296296297298296294296297303301302299299299298297297296298296297295296297294296295295294294294294293293293293293292294293293294293291291291293293293293292293292294293293293291291290290292296294296294295295295294294295296296295296296296296296297297296295296295296296297296295295295297297297298297297297297297297296295296297296298298297296297296296298298297297296298298296296294295294295294295295296296297296294296294297292299297999297297295999296297297297296294294294294294296297296294297299299300299300298297299299299300301299300299299301301302302301301301301301301300298298295296290296999999294296301298297299294293292291291298297297297299298295999999999999999999999999999999999999999999999298296999297297999999999297297296297297299300299299297299300301300302300298300301301299297300303304303301303303302297297299298298299299299298299300299300301301302300301299300301300300301302303303303303302302302302302303303303304303303303303303303303303301302300302301302301303302302303303303303301302301304304303302304305306306306305305305305303303305305305304304304305304303303303302303303303303303302303303302303303302301304304304305307307307307304306304305305305304303305305305306305304304305304304304304304304303303304304304303304304304303303303304304304305304305305304305304305305306305305305306305305305306305307306306305304304306306307307307307308306305305305304305306306305306305306306306307307307305304305306305305304306304304305305304304305306306306308306306305306308308308306307305304305307306306306305305304306306306306307306306306306305305306306306306306306306306305305305305305305305304304304305305305305305304303304304304303304304304304304304305305304304304304304303303304304304304304304304304304303304303303303302303303303303303303303303303303304304303304304304304304304304304305305305304304305306306305306305305304303303304303304304305304303303304303304304303303302302303302303304305304305304305305305305304304304304304304304304303305305304303304305306306304306307306305306306305306305301303302302302302303303304305305305304304303304304303303302303303303304304303302304303303303305303302302302302301302301302302303302302302302302303303304304304303303304304303302301302301303303302302302302302301302303302303303302302303303304304302302303303303302302302304304304302303305305305303304304304304303303303303302303303306305 999999999999999999999999999999299298298999299296299298298298298294298301298300298297296298296300300299299298298297297296297296295296296296297296296294295294293293294292292291291292291293291291291291292291287291292291290289289292292292293293291290292292291290292291294293294294293291292292294295296296296296297295296295296296295297295297296297296296297298298298298297297297297298298298296296296296295296296297298297295296297296295296296297296297296293294293293296295295295295296296296296296296298300295999295295999999299298298298298298295294296294297296298296298298299298298297297298299298299301299301301300300301301302302301303300299300298299297293295297294290289292295296298295295299299293296293293299295294296297299298999999999999999999999999999999999999999999298300299299299298298999297301299297298297298298297301298299299301300302300300300299301302302303304304301303301299299298298299300299300299299300300300300300301300302301300298300301300300301304301302302302302301301302302303304304303303302302302303304303302302302302302302303302302302302302303303302301302302303303304303304304304306304305305305303304303304304305304304304304304304305302302302303305304303302303304302304303303304304303305307308306306305304305304304305305305304303304304305304304305304304304304304304304303304303304304303304304303304304304303304305304304304304304305304304305305305305305306305306306306306305305305304304304304307306306307308307306305305305305305305305305305305306307307307307307305304305306305305305305305305304304305306305306307307306304304305305306307308306306305305306307305305307306305306305305306305307307305306305305306305305306305306305306306305305306305305305306305305305306305305305305305304303304303303305304304303304304305304304305305305305999999303304304304304304304304304305305304303304304304304305303303303302304303304303303304304304304304304304304303304304303304304305306306305305305304304304303304303304304304304304304304303303305304303302303302303303305304305305306306306305305305304304305304304304304305305305305305304305305306306306307307305306306305305306306304305303303303303303305305306304305304304304305303303302303304304303303302302302303303303305302301301302302302300303302303303304304304304303302302304302303302303302303302302300301301302302303301301302301302302302302303302302302303303302303303302303302302303302303303303304303303303303303303303304303303303303303303304303303303304 999999999999999999999999999999999999999999999999297300300302301299300301298299302301300300299298300297299298299297297297298297297297297298297297296296296295295293291292293294292292291291292292292292291292291290290289290291290289291291293291291290289291291292291292293294293294294294294293293295295295295296296294296295295295296295295296295295296296296296296297299297297297297297298297296295296295296296296296296295295295294293294293293292291291291293290295295296298294294295295297294295295295294296999999298298999999302300303300298297297295296296297298298297299298298297297295296298298300300300300300299300300300301303302301300299295295294293294291294296293291290291294293295296296296299294295295294295293297300298298296999999999999999999999999999999999999999999298299299299302298297999303300299299298299299298299295299297300300300302301300302303305300302303301302302299299297299297298299299300300300300299300301300301301301302300301300300300300301301303302302302302302302303303303304303304304302302302302303302303302303305304304303303302302302302303302301302302303302302303303302303303303304304305305305305304304304305303305305304304305303303303303303303304305303303303303302302302305304305305306306307305306305304306304304305305304304302305305304305305305304304304304305305304304304304304305304304304304304304305305305305306305304304304305305305305306305305306306306306306307306305306306305304304304307305305306306307305305305305304305306305307307306306307307306307306303305305303305304305305306305304303304305306306307307307304305305306308307307306306306307308307306305306306306305305305307306306306306306306306306306305306306307307307307306304305306306306304306305305306306306305305305304304304304304304304305304303304304304304304305307307305305304304304304305304305305305305305303304305304304304305304303304303305303304304304304304304304304303304304304304304304303303304304304304305305303303303303304304304304304304304304305304304304304303302304303303304304305306304305306305305305305304304305304304304305304305305305304304305306306306305306305304305305304303304305304303303303304303304305304304304304303302304303303303304303304303302302301302301303302303302302302299300301302302303302302303303304304303303303303303301302301302301302302301299300302301302300299301301301301301301301301302302302301301302302303303303303303303303304303303303304305303303303303303304304304304304303303303304304304305 999999999999999999999999999999999999999999999999999300301299298299290300295294296298300299299300299299300301298300299298298297298298297297297295296294295294292293292292293293293290290288292293291292290290292292291291291292290290291290289290291290288290292291291293293293294293293293294294295295295296296296296295296296296296294295296295296296297296296297297297298297296298298296297296294297296296296297295296296295294293293293294293292294291292291295294294292296295296295293295297295296295297296296999999298999999999999290303300298297297295298297296297297297298298297296296295296297298298299299300300299300300301301302301300299298294295294294293293294292293999999999290293296298295296298297299301295298298297296298296295999999999999999999999999999999999999999999297297299298297297297999302298298299299299298299300300301298298299299300301300301300301301302301298297298299297300299299298298299299300300301301301301302302301301301301300300301300301301302301302301303302302302302302303303302304303302302302302302303303302302303303304301302302302302302300302301302302302301302302302303304302302304304305305305305304304304304305304305304302305303303303304305304305304304303303303302302303303304304305307307306304305305305305306304305304304304305305305305305305305304304303304304305305305304304304304304304304304304305306305305304305304305305305305305305306306306305305304306306306307305306305305305306304304304306306305306306305309309307306305305305305306306306305306305307307304303304304305304305304305304304304306306306306307306304307305305307307306307305306307307307307305307307306306306305306306306306306306307305306305304306305306305305306307306305305305304305305305305304305305304306304304305305304304305305304304304303304304304304303305305306305305304304305305305305305304305305304304304303304304304303304303304304303303303303303303303302303303303303303303304304304303303302303303304303302302302303303303303302303302303303305304304303304304302302303303304304303304305305306305305305304304303303304304305305305304306305305305305305305306306305305305304304303303303304304306305304304304305305305305305305306303304305301302303305303303303303302303303303302301302302304302302301302303302302302303303303304304303304302303303301301303303303303302302301301300301301301301300301302302301302302302302302303302303302301302303303303304304302303304304303305305305304304304303303303304304304304305303303304304305 296999999999999999999999999999999999999999999999999304305302298298294300299298298298298300300300302301301300300300300298298298299298297297297296296294295292294293293293294294293293292293292291291291292292289290289291291291291292291290291290290291291291292291292293293294294293295295294294294295294297296296296295296296297296296295297296296296296296297297297296297297296296298297298297294297295296295294295295294293293294294292291291291295296293293295295294296297292294295296296295295294297298295999999999999999999999999999999297297300299296296297297297296295296297297298296296296297297299300297300299300300301302301302301299297295294294294294293293291290289999999999294294295296296298297299300300300300299297295294296296293999999999999999999999999999999999999999999298299297296298296999301299297298298298299299301301302299299298300301300298298300300300299299299299298300299298299299299298299297297299300301301301301300300300300300300300300299300301301301302303303301301301301301302302301302302301302302302302303303302302301301303301301301301301301301301302301302302301302302302303303303303302304305305305304303303303303304304305305303304303303304304304304304303303302302301301302303303305305306307306307306304305305305304304304305303304305304304305305305304304304303303303304304305305304304304304304303303303304304303304304305304304305305305304305306306305305304304305306305306306305304304304305302304305305307304305306306309308307306306305306305305306307306305305306306304304305304304304306305305304304305305304305304304306306306304306306306306307306307307307307307305307306306306306305305305305306305305305305305306305305305305305304306306306306305304304306305305305305305305304305304304304304305303304304304304303304304304304304303304305304305305304305304304305305305305304304304303304303305305304304304303303303302302301302303303303302303303304303304304304305304303302302303303303302302302302303303302303303302302303304304305303302303303303302304304303304304305305305305305305305304303304305305305305305306305306306306306306306305306307305305304304304303304304304304304306305304304305305306305306306305305304304301301302301301302301300301303302302302302302303301301304302302302301302302302303302303304303303303302302302302303301302302302301301302302301301301299301299301302300301302302302300303302303301301301302304302303304303303304304304304304305305305304304303304304304305304305304304304305305 296999999999999999999999999999999999999999999999999999297300299299295300299299299297299298298298298299299298300297299298298299297298297297296296294294292292293292294294292291293293293292293292293293292291292291291291292292290292292292291291291292292292292292293293294295295295295295296295295295295297297296298298297295295295297297296296296296296297297297297296296297296295298298297297297296297296295294294292293293293293292292292294295295294294293294292294294295291292295297294295294296298299299999999999999999999999999999999999999302299296297296296296295295294295295297296296296296296298300297299299301301300302302301301298294295295294293293291291291290289999999294295296296296298300299297301300296301297295296297298296999999999999999999999999999999999999999999999999299298297298295999300300299298298299298300300301300300298299301301300298301301299301299298298299299299300299299299299298299298300299300301301301300301300300299299299299299301300301301301302301301301300301300302302303302301302302302302303303303303302302302298303301299301302301300301302300301301302301303302301302303303303301303304304304303303303304303303304304305304304304303304304303303303302302303303302301302304303305305306306307306307305306306305305305305305304304305304304305305305304304304304304304304303305305304304305304304303304304304304304305305304304305305305305306305306306305306305305304305305304306305304304304305304304305305305305305305307308306307306307305306305306306307306306306306306306305304304304304305306305306304305306306305305305306305306305307307307308307306308307308307308306307307307307306306305304305304305305305305306306305306306305304305306306306305305304305306305305305305305306305305305305304304304303303302305304304304304303304304304304305305305304305305305305305305305304304303303303304304304304304304303304303303304303302301302303303303303303303303304304304303302303303302302301303302301301303302302303302302302303303303304304305304304304304305304303303304304305304305305305304304303303304305305306305306305306306306305305306305306305305304305305305305304304303303306306306304306305306304306305306305306306305303302302302302302302302301302302302301302302302302303301302302303303303303302303302302302303303302302301301302301302302302301301303302301301301301301301301301302301304301302302302300301302302301302302303303302303303304304303304304305304305305305305305304304304303305305305305305305305306 296999999999999999999999999999999999999999999999999999999302302300295298299300296298298297296298299299300297300298298298297296297295297296296293293294293290293294294293291293293294293294294293293293292290291293291291292293293292293293294292291292293292293293293294295294295295293294296295295296296297298297297297295295295297295296295295296297297298297297297297295297297295298298297296294297295295296295295293293295294294291292293293291295292292295294294293293294294295295296297296297297299999999999999999999999999999999999999999999296298296297298296296296295294296296296296296296295297297297299299300301301301303302299297296294294294294293292292292292291291290292294298298297295296298298297298300301298296297298298297297294999999999999999999999999999999999999999999999297299298298297297299300299299298299300300300299298300300300300299300300300300300300300299299300299300300300300298298300298297299299300300301300300301300300299300299299299300299301300301300301301301301301300301302302301300302303303302302302302302302301303302299300300300299301301300300300300301302304303302302302303303303303303303303303302303303303303303304304304304304305305304304304304303302303303303302301302303303304305306306306306307305305306305306306305305304305305305305305305305305304305304304303303303304305304304304305304305303304304304304304305305305306305305305306306306305305305305305305304305304306305305305304305305305305305305305305305306306306306305306306306305307306307306306306306306305305305305305305305305305306306306306306307306306305305306306305305308308308307307307307307308307308307307308307305305306304306305305305305306306306306306305305307306307306306306304305306306304305304305305305305305305304304304303303303304305304304304304304303303304304305305305305305305305305306305304305305304304304304304304304304303302304304304303302302303302302303303303303303303304304304303303303303301302302302300301301302302302301303303303303303304304304304304304304304305304304304305305306305306305305304304303304305305303305305306306306307307305306306307306305306306305306305305304305305307304306306306304305305306305305306306307303304302303302304304302302301302302302302301302303303305303304302302302303303302303302302302303302303302300300300302303302302302301302301301301301300300299301301302301302301302299301301301302302300301302303302302303303304302303303303302302305304304305304304303304304304305304305304306306306 297297999999999999999999999999999999999999999999999999999999293302299300303299302300295299299298297297298301298299299298297299299296297296295293293294294293293293291292291293295294295294292293292292292292293293293293293293292292290290294292291292292292292294293293294292294295293294295296295297296297298298297298295294296297295294295296295296296296296295296296296296298297299296296297295297295294294293293291293293293293292292293295295297295293293293296293297294293296295296296297297296999999999999999999999999999999999999999999999298297298297297296297296295293294295295295295294296296297298298300300300302302302300297294295292293295295293291292291295292290293295297298297297295294294295297293294302296296297298297297297296295999999999999999999999999999999999999999999999298298298298295300299300299300299300301299298298300299299299299300301299300300302300300299299300301301301300299299300299300299299300301300300300300300300300300299299300298300300301299300301301301301301301302302302300300301302302302302301302302301302302302301300299302302301301300301301302303301303302302304303304304303303303303302302302301302303302303303302303303304304304305305304304303303303303303302302303304303304305305306306306305306307306306306306305304305304305304305305305305305305305305304304303303304305304304305304304304303304304305304305305305305306307306306306306306306304305305305305305305305306305306306305306306305304305305306306306306306309304306306305305306306307307306306307307306305305305306306305305305306306307306306306306306306305306306307307309309307308307307307307307307308309308307307307307307306307305304305305305306306307306305305306307308307306306306306306306305306304306305305306305305305303305304304303304304304304303304304304304305305305305306305306305305304305305305306305304304305304304304304304303303304303303303303303303303303301302302302303303303303304302303302302303302301302301301300301301302303302303303303303303303303303303303304304304304304304304304305305305305305305304304304304304304304304305306307306307306307307307308307306306306306306305306306306305305305306306306304305305307307306306306305303304303300301304301303302303303302302302302301301302302302302301303302304302301302303302301301302302302302303302303301302301300299302301300301299299300300300301301298298300301297301301301300302302302303303302302302302303303302302304304305305305305304304304304304304304304305305306305306306 297298298999999999999999999999999999999999999999999999999999999999999301304306297300300299297295295299300301298300300299300300299299297295297295295294294295291292291291292292294294295293293293290292293292293294292293292292292292292292292292293293292292293294293293295295294294295293296296297296298295297297297299295296297297296296296296296295297296297296296297295295297296295294298295293294293293293292291290292293293293295294293294295293294293293291292293293295295295294294295296296294999999999999999999999999999999999999999999297297299298298298298298296295295295295295295296296295296297296299299300299301299297293296297293289287291291292291290291293293291292293293294295294296294295297296299293297296297295297297297296294293292999999999999999999999999999999999999999999298300298298296298298299299299299299300299298298298299300299298299301301300302301301299298299300300299298299298299300298299300300299299300299299299299299299299298298299299297299300300301300299300302302302301301301300300302302302302302302301301301301301300300300300300302301301301300300302302300301301302302303304303302303302302302301301301302302302303303301302303303303304304304304303304304303303303303303304304304304305305306305306306305306306305305304305304304304303304304304304304304305306305304304303304304304304304305304304304304304304305304305305305306306305306304305305304305306304304304304304305305304305305305303303305304305305305305305306305306306306306306305305305305306306306306306305304305305305305305305305305306306306305305305305304306306306305307307307308307307307307306306307308307307306306307308307306305306305305305305306305304305306306306307307306306306305306306305305305305304306305305305306304304306305304304304304305305304304304303304305305304305305305305305304305304305304304304305304304304303303304305305304304303304303302303303303302302302302301303302302302303303303303301302302301300300301300301302301303302302302303303303303303304302303303303304304304303304304304303304305305304304304304303304304304305305306306307305306305306306307307307306306306306306306306306305305306305306306307305304305305307307306306306304304304304301302303304304303303302302302303302302302302301303302302303302302301301301300300302302302301304301301302301301301301301300301300300299300299298300299300299300301299299300300301301302303302303302301303304303303303303303304304304304304304305304305305305305304305306306305305306305 298298298999999999999999999999999999999999999999999999999999999999999999302299300298299297297298296297297298298300299299299299299298296293296295297292290292291290293291293293294294294293292293293292291292294294292293293294293293292293292293292293290290293294294294294295295295296296297297298299297296297297297300298297297296297297297298297297297296296297296296296299295298294294295296294294292292291291291293293292293294297296293293295293295294293294293295294293294295294294297295294999999999999999999999999999999999999999999999296299299298299299300298297296296295296295295294295295296297298298301301299299296295293293295293289288999294289287290289292294290294297296294296298297298297295295299299296297295295298298295295294296293290290999999999999999999295296999999999999295297297297297298298299299299298299300300297297297298298300299299300301299300301300300299299300298298298296298299299298299300299299299299299299300299299299299298298298298297299300301301302301301303302300300301301301301301302301302301301301301301301300300300299300300301301300301301301301301301302301303303303303302302302302302301300301301302302300302301301302303303303303303303303304304304304304304304304303304304304304304305304305305305305304305305304304304304303304304304304304304303304305304304304303304304304303304304305305305304304304304304305304305304305305305305304303303305305305304303304305304305303305305306304305304305305305305305305305305305305304306306304303305306305306306305305304304305305304305305305305306306306305305306305305305305305306307307307307307306308307306306306306307307307306307307307306306305304304305305305306305305305306305305306307307306306306305306306306306306306306305305305305304304305304303304303304304303304303303304304304305304305304304304304304305304304304304304303303303303303303303304304304303303302304303303303302302302302302302303302303302302302302302302302302301301300301302302303301302301301302302302303303304304302302302303303303302303303304304304304304305304304304304304304305304304305306306306306306306306306307308306306305305306306306305306305305306305305306305305305305305307306306306306305306304304303304303302301302304303301302302302301302302302302302303303302302303302302301300301302303303303304302301302302302301303302302301300298300300301301301301301300300300301300301301303302303302303305304304304304304304304305304305305305305305306307305306306305306305306306307307307306 299299299299999999999999999999999999999999999999999999999999999999999999302301303301294294297296296297298297299300300300300298297296295295296294296298292294291292294291292294293294293292293294293292293293294293293293294293293293293293292294293294293293293294294293294296294295295296297298296296295295298296299297296298297297297297296297295296296297295296297296295296294298297296298297294296295292295293291294293293293293296290293294296295294293294294295296296296296296297298294295294999999999999999999999999999999999999999999999999298298999299299301300298297296296295296295295295295296297298299300301295293294295294294295291288999999999999999292294296297296297297297295298298296296296295297298296298299297298294297294294297298296293294290291999999999999295296999999999999298297298297296297297299299299299300300299298298298298298300301300299299300301301302301301300299298299299297298298299299297298300299300299299299300300300300299299298299300300300301301300302302300301301301300301300302301301302301301300300300301299300300299299300302300300300300301301301301300300301300302303303303302301302302302301300301301301302301301301302301302302302303303303304304304304303304304304304304304304304305304304304304304304304304305304303304302304304304305304304304305304304305304303304304305304304304305304304305306305305305305306305304304305304305305305304303303304304305305304304304305304303305305306305305306306306307306304304304304305305306304304305305306306307306306307307305304304305304305305304305305306306306305306306305305306306307307307307307307307308307308307307306307307307307306306306306306306304306306306305305305306305306306306306306306306306307307307306306306306306306306305306305304304304305304304304305304304303304303304305305304304305304304305304305304304304304304304304303304303303304302304304303303303303304303303303303302302302302303303302302302302302302303303302302301302302302302301302302302302303303303303304304304303303303304303305302303304304304304304304304304304304304305305305305306306306305306305306306306307307308308307306305306306306306306306305305306306306307306305305306306307307305306305307305306304303302304304301301304303303303302301302302302302302302303302302302303302301302302302302303301301303303303303302302300301300301299300303300301302302300301302300300300302302302302302302303303303304304304303304306305304304305306305306305306305305305306307306305306306306306306307307 299300300300999999999999999999999999999999999999999999999999999999999999999300303297294296298297294296296297297297298299299297294296296297294296294292294293291293290290292293292292293292293293293292293294294294292291292293293292292293292293290294294293294295294295295296297297294295297296298298297297297298299298298298299297299297298297298300299299295297297295296296294295295297296296296295295296295293293292292294292293294293293295294295293294294295295296296299300299298296293296999999999999999999999999999999999999999999999999999999999999999299299299298296295296295296295295296296295295299297297295292293293293295296293291290289288290295296295296297298298298297298297298296295296296296296297294296298296295295296294293292294297296296295294294293292290292999999999999297297296295296296297296297298299299299298297297296298300300300300300298299299301301301302299300300299299300299300299299299298299300301299299299299299300299299300298299299299299300301300300300301300300300301300300301300302303302301300300300299299300300300299299300300300300300301300300300301301301301302303303303303301302302302301300300301302303303301302302301302302303302302303303303303303304304304305305304304304304304304304305304304304304304304305304304303304305305304303304303305305304304304304303304304304305304305304305305306304305305305305306306305305306306306306305304304304304305305307307306304305304304307306306306305306306306305306304303304304305304306305307306306306307305304306306306306304305305304305305306306306306305306307306305305305305306306307307307307308308308308307307306307307308307307306306307306306306306306307307307306305305306305307307307306306306306306306305306305305306307307306306305304304304305304305305303304304303302304304305304305305305305305305305304305305304303303304304304304304304303304304304304303303303304303303303303302302302302301302302302302302302301302302303302302301301301302302301301301302302302302301302303304304303304303303304304303303304304304304304304304304304304304304305303306306306304305306306305306307308306306307306306306305305305306305305305304304305306306307306306307307307306306304305305306305303303303303303303304302303303302301301301302301301301300302302302302301300302302301301301301302301302302302302301302300301300301301299300302300300301303300300300303304302303303303302302303303303304304305304305305305304304305306306306306306305305305305306306305306306307306306307306 300300300300999999999999999999999999999999999999999999999999999999999999999999302299299297295295296296296298297298298298298300295295296295295294294292289294288291293291294292291292293293293293292293294294294293293294293293293294294293293292294294293294294295297296296297298298297295295296297298297298298298299298299300300298300299296300301300299299296296296296295297295296296297296296295295295296295292294294293294293293293294295294293295295294294295295297296300301303298299296999999999999999999999999999999999999999999999999999999999999299299299999999296296296293295295296295295295294294296296297296296295293292295295294291288289292294295298295297298297297298298299297297297294296296297296296299299296295300296296293293297300298298297296295294295294294292999999999297297297297298298297298298298298298297298299299298297300299301300299297298298299301300300299300299299298298299300299300299299299299299300298299300299299299300299299298298298298299299301300298299301300300300301300300300300302301300301299299299299298299299300299299299299300300300300300300300302302301301302302302302301301300301301300300300300300302303303302301301302302303302302302302303303303303304304304304304304303304304304305304304304304305304304304304303303304305304304303304304304304305304304303302304303304304303305304304304304304305305305305306305304305306305306306305304305305304304304305306305305305303304306304306304306306305306306307305304305305304304306307306306306306307307307305305306306305305304303304304305306304305305306307306306305305305305306305307307307307308308308307307307307307308307306306306307307306307307306307307307307305305306304307306306306306306306306305306307306305305305305306306306305305304304303305304303303304302303304304305305305305304304304305305305304305304303303303304304304304303303303303303303303303303303303303303302303302302301301302301301301302301302302302303302302301301301301301301301301301302302302301303303304305303303302302304304302303303303304303304305305305304304304304305306304305305306305306306306306305308307306306305305305304305305305305304305304304304305306305306305306307307306306304305305306304304302303303302302302302302302301301300301301301302301300301302301302301301301301301302301301301302301301302302301301301303300300302301301301300300301301301301300300301301304304304303302302303303303304305307308305304305305306306306306306306305305305305305305306306305306306306306305 301301301301999999999999999999999999999999999999999999999999999999999999999999999301300299297295296295296296295299299297296297297298297298292294295295293293297292293290294293293292293293294293292294294295294294292295293293294294294293292294294294293293295297297296297297294295298298296294298297299298298299299299299299299300299299297300298300299298298297295298297294297297296295295295295295296299295293293293292293293293294295294297293295291296296295298299298296301302301301298999999999999999999999999999999999999999999999999999999999999999999999999999999999294294293295295296296296297296295294296296294294293293292293293290288290296298297297295296297297297298298298297298297297298296297296297294299295297297297299297298293296295295296296293294294296296294294999298297298298298299299300296299297297298296298299300298297300300301302298300298298299300300300299300300300298300300300300299299299298299300299299299299300298298298299299299297298299298299299299299299300300300301300300300299299301301301300299298299298298299299300299299300300300301300301301301301301302301301302302302302301301301301301301301301300301302302302301301301302303303303302302302303302303304304305305304304304303304303304304304303303304303303303304304304304305305305303303304304303304304304304304302304303304304304303304304304304304304304305305306306305305306305306305306304304305303304304305303303305306305304305305306306305307306307306306305304305305303306305307305306307308307307308307306305305306305305304304304305305306306306307305305306306306306306306306306307307307308308307308307306307307307307307305306306305307307306307307307307306305305305305304305306307306306306307306306307306306305305306306304305306304305304304305304302303303303305305304304305305304304305306305305305304303304303303303303303304303303303303303303303303303302303303303303302302302302302301301301301301301301302302303303302302302301301301301301301301301301302302302303303303304303302302303304304303304303304304304304304304304305305304305305305305305305306306306306306307306306307306306305304304303305304304305305305304305304303306306306307308307308306306306305304304304303303302302302302303302302302301302300300300300300301300300302301301301301300300300299301301301300300301301302301302300302302301301301300300301301301300300301300301300300303304304303303302303302304304303305307307304304305304304304305306305305305305304305305305305305304306305306307 297299301304999999999999999999999999999999999999999999999999999999999999999999999999999300297298299298298298298297297299303295296304299298297296295294296293294293293293294293293294293293293295294295295295295293294295295294294293292293291294294294294294296296298298297298293300298301301296297296297296298299299298299299300300300299299299300302300300300297297297297295297296295293294294295295292294294294293291292293293294293292292293296294292295298298297299296297299300297299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298294295295295297297297298297296296294294293293293292292292288294292297298299300299296299297298297297298297297296294296295296297295300300295297298294292293298296295294295295292292291293294295292291292296299299298299299297298299298298301297298297298300299299299300301300299298298298299300300299299299299299298299300299300299300299298299298298299300300299298297299298298298297297297298299299299299299300298300300300300300300299300300300300299298298298298299299299299299300300300301301301301300301301301301302302302301301301301301302301301300301301301301301300301300301302302302302302302301302302303303305305305304304304303303303303304304304303303303302303303304304304304304304303302303303303303303303304304304304304304304304304305304304304305304304304304305304304304304305304305305304304305304304304305305305305305303304305306306306306306306307307306305305304305303306306307305306307307306306306306305305305305304304303304303304305305305304305305304304306305305305306306307307307307307307307307307307306306307306307306306306306306306306307307305306305305304306305304304305306306306306306306306306306306305306305305304304304304305304305304304302302303303303305304305305305304304304305305304305304304304304304304303303302303303303302302302303303302302303303302303302302302301302302301301302301301300301301302302302302302302302301301301301301301301302302301302303303303303303302303304304304303303303303303304305304303304304304305305306306306306305305306307308306306306306306305305305304304304306304305304304304304304304304306306306306307306306307306305305304303303302303304302303302302301301301301300299300300300301300301301299301301301300300299300300299300299299301300301301301301303303301301302301301301301301301301301300300300300301303304303303303302302302303304305306304304304304304304304304305305305305304304305305306306305304305305306306 299302999301999999999999999999999999999999999999999999999999999999999999999999999999999999297294294298298295297298297303301302297303298298298296296296297295297295294295291292292294294294295295296298297296295294295296296298297296295295295296295297296296297297298298298299299299300299301302299297299300301302301302300300301304301301301301301300302301299299299298296299296295295296294294293294293294293292292291290291292293292290291291295293293293298301297297297300999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296296294295298296299297296295293293292291289290290291296298297298298297300298298299298298298298297297296295296294295296297297295299298297298297299298291300295293294293294292294295293295292292292291295297295297297297297298298298297298299297299300300301297299299299298299299299299300300300299299298298298299300299299299299299298298297298299299298298299298299297298298299298298298299299299299299299299299300300300300300299299299299299299298299299298299300299299299300300300301301300301299301301301301302303302302301301301301301300300300300301301300300300300300300302303302302302302302302303303304304304304304304304303303304303303303303303303303303303303303303304303304303302303303303303304304303303303303303304304304305304303304305305304304304304303303303303304304305305306305304304303303304306304305306306304304305305305305306306306306306308306305305304304305305306306306306306307307308306306305306305305304304303304304304305305305305304304304304304304305305307305306307307307307307308307307307307307307307306306306306306306305306306307306307306304304305306306305305306306306305307305304305305305305304304306305304304306305304304304303303303303304305305304304304304305304304304304305305304303303304304303303303304303303302302302302303302303302302302302302302301301302302302302301301301301301301301301302302302302302302301301301301302301301302301302302303302302301302301302303303303303303303303304304305304304304305304306306306305306306306306307306306306307307306306305304304304304305304304306305304304304305305305306306305305307306305306305304305303303301301302302302302302302301301301301300301299299299299299301300299300300300300299299299298299299299299300301301302302302302301302301302302303301302302302302302300300301302303303304303303304303303305303305304304304304304305304304305305305305306306306306305305306306307305305306307306 300303999308999999999999999999999999999999999999999999999999999999999999999999999999999999999288293295295291298298295300298296293298298298299297299296292296295294294295295292292293294295295294296295295295297296293297298297298297297297297294297296296297297297296298298300299297299302300298301300299300299300300300300299301300300303301301301300301299298299296297296299298296294294294294294294294293292294291289292291294293293292291291292293295295298299299297297300999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296297298299298296294293292293291289292291294299299299299299298298298298300300300299299299299298300301298296298298298299298297292290298298293293294295297294295293294294296294294294294295294296297298298298298299299299298298299300301297302300299301299300299303299300300298299299298299298298298296298298298298298299298298298298299299299299298298298300299298298299298298299299300300299300300299300300300300300299300299299299298299300300299298299301300299301301300300300301301300300302302301302302302302302302302301301300300300300301301301301301301301300301302302302303303302302303303303304304304304304304305305304304303303302302303303303303303303302303303303303302303303302303303303303303303304303304304304304305305304304305305304304304304304304304304304304305305304304305305305304304304305305306306304305306305305305305306306307305306306304304305305305306306306306306307308307306306307307305305305304304304304304304305306306305304304304304304304304305306306306307307307307307308308308307307307306305306306307306305306306306307308307306306306305305307307306306306306306305307305304305306305305304305305306307306305305305305304303303303304305305305306305305305305304305304305304305304304304304304304304304304303303303302302302302302302302302302301302301302302302303303302302301301301301301301301301303303302302302301300302301302302302302302303301301301302303303303303303303303304304304304305304304306305305306306305306307306306306305306304305304306306306307307306305305306306306305305305306306305306306306305306306306306306306306306306306305305305303303303303303303303302302303302300300299301301300300301300300299299299300299300299299300299300300300300300301301302301301302301301302304303304302302302302302302302302301302302303304303302304305304304304304304304304305304304303304305305305305306305306305306306305305305306306304304 301306306301999999999999999999999999999999999999999999999999999999999999999999999999999999999999291293294293295297298298298299297297299298299298297299296294295292293292293293295289294293292294295294295294296293293294294295295294292294295295295295295296295296297298298298296300300301297297298298299297300300299301301298299298298299301300298300300299296296297301297301299297293293294293295295294292292292291291293293294292292292293291293297296297298303300297297298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293295298299298296294293292999295293294291294297298297297297297297299299298299300300300300299299299299300300302299299299297298296297296297295296296296296296296295294296297298294294297298297298298296299297299298300298298299299299300299299298301301302301302301300300299298298299298299299300299298299299298297297298298299298298299299299299299298299299299299298298298299299300300300299299300300299301301300299301301300300300300301301301300299300300300301301301301301301302302302302302302302303302302302303302302301301300300301301301301302302301301299302301303303303303303303303304303303304304304304304304304305305304304302302302303303302303302302303303303302303303303304303303303303303304304304304304305305305306305305305305306305305305305304304304303304305305304305305306304303304304305307306306306306306306306305305305306304306305305306305305305306306306306307307307307307307308306307307305305305305305305305306305306306306305305304305304305305305306306305307307307308308308308308308307307308307306307307307307307307306307308309306305307306307307307308306306308307307306307305306305306305307305306306306306306305304305306304303303304305305306305306306306306306306306305305305305305305304305305304304304304304303303303303303303303304302303302302301301302302302302302303302302302301302302301301303302302302302302303302302302302303303303302303303301302302303303303304304304304303303303303304304304305305305305306305305305305306306307305304305304304305306306304304305303305303306306306305304304305305305305305306306306306307306305305304305305304303303302302302302302303302302302302300301299299300300299299298298298298298298298298297297298298298299298299300300300300300300299300301302302302301301300300301300301300301301301301302303302302302302303303303302304304303304303303303303303304304304304304304304304304304304304303303303304 300303302302999999999999999999999999999999999999999999999999999999999999999999999999999999999999289291295294294296298299298297299300298298297298301295296297294294293292294293294293294294294293293294295294294295295295294295294294294295295295295295295295295297298298297296295298298299299299300298298299299300300299299298299298301299299300302305303300299298298301300300299298294296297293292292295295296295294293292293294295295298295292294296295294297298297298297297298299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290293297298298297292999296296296298298296297297299298297298297296297298298299300299299299299299298298297296299298298301297298296296295294295296297297297296294295294294294293290292297298299297298297298298298298297299299298295297298299299299300301302301298299299300299299298298298298298299298298298298296297297297298298298298299298299298298298298299298298297298299299299299298297298298299299298300299300300301300300300299298299300299299299300300300301301301301301301301302302301302303303303302301302301301301301300299299301300300300301301301301300301301302303303302302303302303302302303303304303304304303304304303302302301302302302301302302302302302302302302302302303303302303303303303302303304304305305305305304305304305304304304304304304304303304304304304303305303304304303303306306306305306306305304305306305305305305305305306306305304304304305307307307307308306306306306306305305305305305305304304304305305305306306306305305304304304304304304304305305304304307307307307308308308308307306307306305306307305306305307307305307305305307305307306305307307306305307306306306304304304304305306305304305305306305305304304304303304304304303304305305305304304304304304305304304305304304304304304304304304303303303303302302302303303303301303302302300301301301302301301302302302302302302302302302302301302302302303303304303302302302304303304303303301301302303303303303303303304304303303303303303302304304304304304305305306305305304305305305305305304305304305304304304303304304304305306306305305305305305305305305306305306305305305305304304304304304302302302302302302301302302301301302301300299299299299298298297298298297297297297297297296298298298298299299299299298299300299299300300301301301302302302301301301301301300301301301301302302302302302302302302302304303303303303303302302303303303304304304304304303303303302304303302303303 301303301304999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292295296295296296296296298298299299298300299299295297297296293295295295295295295293294294294294293294292294294295294295294295296295295296295295295295295296296296298298299297298299300300300300300298302300302301298300301299300299299298300302305303303301298298300303298297296295295295295293292290295296293293291291292294295297296295294293295295297296297297298296298301999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292290291294296297296295291294296294297299299298298298298297297297298297297296299300300299300299297297299299298297297297299299298297297296296296297296296295296296295294296296295295293293297296298296297297297298299298299297296299298297299300299300301300298299299298299299299298298297297298297297298299299297296297297297297298298298299299299298298298298298298298297298299299299298298298297298298299298298299300300300300299300298299299299299299300300300301301301301301301301301302301302302302302302301302301301301300300300299300300301300300300301301300301300302301301302302303302301302302302302302303303304303303303304303303302302301302302302302302303302301301302302302303303303303303303302302303303303303304304305305304304304305305305304304303303304304304304305305303303303303304304304304303307307307306306306306305305305306304304305305305305304304304305306305306307306306306305305306306305305304305305305305305305305305305305305305306304305304304304304304304305306305305306306306307307308307308308307306307305305305305306306305306305305306306306305306306306307306305305306305305304303304305304304304304304303304304304303303305304304304304303304304304304304304304304305304304304303304304303303303303304303302303303303302303303303303302301302302301301301301301302302302302302302301302302303303303302302302302303303304304303304304303304304304303302302302303303303303304304304304303303303302303302302303303304304304304304305306305305305305305305304305304303303303304305303304303304304305305305305305305305305305305306306305305306305304304304303304303303302302302302302301301301301301301300300299299298298298298297298298297298298297297296298297296298298299298298298298299299300300299299300301301302302302301301301301301301301301300302301301301302302303302301302303303303303303304302302302302302302303303303303303303302302303302303304303 301300304303306999999999999999999999999999999999999999999999999999999999999999999999999999999999999292291297295294298297295295298295298299300299296297297297294295296295295296296295294294297295295294293292293294293295296296296297295296297295295296296297296297299298298298297298298299300299299298300301300301300298301302302301300302302302301301300299300301301302301300299297295296296295295298294296295294293294294294295295296295294294294294296297999999299297297300999999999999999999999999999999999999999999999999999999999999999999999999999999999999293295293999999292292293291293294295296297294290291295297297298299299299298298297298298298298298298297297299300301300300299299299299298297299299297299298297296296297295294296295293298296296296297296295296295295296296297296296297297298299296299299299298298297295299299299299301299297296297299298297295298298297297297298297298299297297296297297297297299299299298299299299298298299297298298298300299298298296297295296298298298299299300299300301301301299299299299298299299299299299300301302302302302302302302302302302302301301301301300300300299299299299299300299300299299301301299300301301301302302302301301302301302301301303303303303303303303303302303303302302302303303303302302302301303303303303304303303302302302302302303303303303304304305305304305305305305304304304304304304304303302303303302304304305304304304305307304306307306307306304303304304304305304305305304304303304305305306306306305305305304304306305305305305306306305306305305304305305305304305304303303304304304304305305304305306306306306306306307308308307307307307306305304304304305305306306306306306307306305305307305307306304305306304304303304304304303304304305304304304304304304304305304304304304304304303304304304303303304304304304304304303303303303302302302302303302303303303303302302302302302302301301301301301301301302302301301301302302302303302303303303302302303303304304303304303304304304304303302302303303304305305304304304303304303303303303302303303303303303303304304304305305306304305305305304304305304303304304303304304304304304304304304304304304304304305305305305305305305305304303303303303303302302302301301302302301301301301301300300299299299298297297298297297298298299298298297297298298299298298298298298298299300299299299299299300300301302302301301301301302301301301301301301301301302302302302303302302302304303303302302302302302302302302303302302303302302302301301302303303 300302301303303306999999999999999999999999999999999999999999999999999999999999999999999999999999999999296297298296297297297296296297300298297296298298297294295295295296296297296294297294296295296295294295293293294296296295295296295296296295295296297298298298300296298299299299299300299298299301301302300302301302302302302301301302302303301301299300300298302301302301298297297299299296299296297296295294293293292294297296295294296295294296296999999999297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292293294293293293292293293294295295299296297294293295296297298298298298298298298298299299298300299298298299299299301301300301301300299299298297299298299298296296297297293295295296295296294294294296295295296296296296294296297296296297298299298298299299298297298299297298297299298297296296297299299298297297298298298297298296298298297297297297296298297298299299297299299299299298299298298298298298298298297297297297298298298299299298298299300302301299300299300299299299299300299299300301302302302303303303303302302302302301301301301301300298298299299298299299298299299299300300299300301301301302302302301301302301301301301302302301302303302303303303303302303303302303303303303302302302302302302303303303303303302303302302301302303303303303304304305304305306304304304304305304304304303302303303302303304305304304304304305305304305305307305304303304305304304305306304304303304304304305305306306305304304304304306306306306305306306306306306306304305306304305305306304304304304302304305304304306306306306306307307308308308307307308307306305305305304306306306306306307308307306307306307306306307306306305305304304306306304305306305305305304304304304304304304305305305304304304303303303304304303304304304304304305304304304303302302303302302302302302303303303302302302302303301301301300301301301302302301302302301301302302302303303303303303302303304304304303303303304304303303302303303304305305305305304304304303303303302302303303303303303303304304304304304304305305305304304305304304304303304304304304305304304304304304304304304303304304304305304304304305305304303303303302302302302302303302302301301302301301302301300299299299299299298298298298298298298299299299298297298299299298299298298298298299299299299299299299300300300301301302302302301301302301301302301301301301302302302301302302302302302302302301302301302303302302302302302302302302302301301301301302303 300301300303303305999999999999999999999999999999999999999999999999999999999999999999999999999999999999290298303303304300297299299301298297298299297298293294298295296297297296296296296295296294297296295295295295296295294295295297295296296297297296297298299299299298298298300300299300299299300302302302301300302300301302302305301301301303302302300299300299301302301300299299299300300300300299297296297296294296294297297298295290299300297297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295296293293293293294294294294296300295296297295295297297298298299298298298299299299299298299300299299298299301300301301300300300300300299299298298297297298296298297294296297295294295294294295293297296296296296296296297298296296298297297298298295298298298298298298296295295297298297297298298298298296296297297296297296297296298297298298297297297298298299299299299299299298298299298298298299298298298298298298296298298299299299298300299300300301300299299300300300300300301302299300302302302302302302302302302302302302302301300299300300298298298299298298298298299299299298299299300300300301301301301301301301301301301301301301301302303303303303303303303303303303303303302302302302302302302303304304303303302302302302302301302303303303303304304305305305305304305304304305304304304303302304304303305304303305305304304305306304305305305304304303304303303304304306305305304304304304305304304305305305304304304304306306307306306306305306306306306305306305304306306306304304302303305305306306305306306305306306308307308308306307307306306306305305306306306306307308306307307307307307308307307305306306305305304306306303303305306305304305303305304303304304305305305305305305304304305304304303304304305304304304303303304304303303303303303302302302303302303303303303302302302302302302301301302302302302301301302302302302303303304303303303303303303304303304303303304304304304304303303303304305305305304304304304304303303303302303303304304303304303304303304304305305305305304304304304304304304304304305304304304304304304304303304304304303303303304304304304304304303303303302302302302302302302301301301301301301301301301299298299299299298298298298297298298298299299299299298298298298299298298298298298298299299299299299299299299300301301301301301301301301301301301302301301301302301301302302302301301301301301301301301302302303302303302302301302301302302301302301302302 302302301302306301999999999999999999999999999999999999999999999999999999999999999999999999999999999999292294298299303299299300301301300300299297299297296295298298295295296296296296296295296296297296296297297295295296298297296296296296297296294295299298299298297298296300300300299299300301300300301301303302300300301300304305298301301300303301301300299300300300298299300297299301299299299298298297295297296297297295297295299297302303999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296293292294293294292295293295300298296298298297297298299299299299298298299299299299299299299299299298299299299300300299299299299298298298297298298299296296296295296296296295294295294296296295296296297297296296295297297297296297298300298297296298297297298298297297295297298297298298298298298296296297297296296297296297297297298297298298298297298298299299299299299299298299299298298298298298297297297298298297298299298299299298300299300300300299299298299300301301301302301301301301302302302303302302302301302301302302301299299300300298297298298298298297299299299298298299298300299300301301301300302301300300301302301302302302302302302302302302302303303303302302302302302303303303304303303303303303301302303302302301302302301302303302303303303304303303302303304304305303303303304303303305304305304304305305305304304304303304304304304303303304303304303304304305305305304304304304303304304305305304304304304305306306305306305305305306305306304306305305305306304304304302304305305306306306304305305306307307307305306305306305306305306305306306307306306307306308308307307308308307306306305305305304305306304305304305305305305305305305304306306304304305304306305304305305304305304304304304304304303303304303303303304303303303303302302302302302303302303303303303303302302302302301302302302302302302302303303302302302303303303303303303302302302303303302303303304303304304303303304304304304305304304304303303304304303303303304304304304303303304304304304304304304305304303304304303304304304304304303303303303303303303302302304304304303304304304304303303303303302302302302302301301302301301301301301301301301301301299299299299298298298298298298298299299298298298298298298298298298298298298299298299299299300300299299299299300301301301301301301301301301301302302301301301301301301301301301301300301300300300301301301301302302303301301302300301301301300301301302301 299299301302304304999999999999999999999999999999999999999999999999999999999999999999999999999999999999299298301300301299297299300301300298299299300299296297298298296294296296296297295297297297296297295297294296296297297297298296296296295294294295298297298298299299299295298300301299301301301301301303302300301300302303301302300301303301302303302301302301300299299298299299301297298298299298300299297296296297299296298293999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292293294293293294295294297296298299299298298299299300299300299299300299299299299299298299299301300301299300300301301301300300299300299299299298297297297296297296297297296296296296297296296297297296297296296296295295297297296296297296296297297296297297298295296297297298298298298298298296296296296297295297297296296293297297296297297298298299299299299299299299299299299298298298297297297297297298298298298299298299299300301300300300300300300299299300300301301301300302302301301301302302302302302301301301301300300300299299300299298298298298299297298299299299299299299299299300300300300300301301300300301301301301301301301301302302302302302302302302302302303303303303303303303302303303303302302302302302302302302301302302302303303303302303302303303302303302303304303304304303303303305305302303305303303305304304304304304304304303303303304302303303303304304304303303304304303304303304305305304304304304305305305305305305305306306305305305303305306306306305304304303304305306305305304303305305306306307306305304304305305305305304306307307307307307306308307309308308306308307306304304305306304306305303305305304305305305304305305305304304304304304304304304304304304304304304304303303304303303303303303302303303303302303302302302302302302302303303303303303303303303302302301302303302302302303302302303303302302302302303303302302302302302302302303302303303303303303303304303305304304304305303304304304305303303303303304303304304303304304304304304304304304304304303303303304303304304303303303303302302302303302303303303304303303304303303303303303303302303302301301301301301301301301301301301301302301300299299299299299299299299298299299299299299299298299298298298298299299299298299299300300300300300300299300300300300301301301301302301301301302302301301301302302302302301302301301300300300300300301301300301302302301301301301300302300301301301300301302 300301303302302302999999999999999999999999999999999999999999999999999999999999999999999999999999999999301300301297299298296300300300301298299300299299295297296294296296297296296294296295297296297297297295296298297297297297297297294296295295294295297297298298298302300298298298299299299299300299299301301299298300299300302303303302303302301301302302302301298299298298299300299300300297297298296297297299297297299295292293999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298293291293294294292293297299300300298300300300300300300300300300300300299300300299299300300300300300299300299299301300299299298299300299297298296298296295296296297296298297297296297298298296296296297296296296296297295296299297297296297297295999297296298297296298298299299298298298298296295296296297297296296295296296296296297297298299299297298298298298299299298298298297298298298298298299297298298299300300300300300300300301300300301300300300301301301301301300301301301302301302301301302302302301300300300301300299299299298297298298298299300298298299299299299299299299300300300300301301300300300300300301301301301301302303303303302302303303303303303303303303303303303303302303303303303303302302302302301301301301302303303303303303303303304304303303303302304303304303303304304304305304303303304304304305305305304304304304303303303303302303303303303303304304303304304303303303304305304305304304304305305305305306306306306306306305305305305304304304304305304306305306306305303305304305303305305307306307306306305306304304306307307307307307307306308308308308307308307306304307304304306305304304306305305305305305304304305305304305305304305305305304304303303304304304304304303304303303303302303303302302302303303303302302302302303302302303303303304303304303303302303302302302302302303303303303303302302302302303303303302303302303302302302302302302303303303303303305305301304305304303303304303303304304303303303304304304304303303303304304304304304304304304304303303303303303303303303302303303303303303303303303303303303303303303303303302302302302302302301301302302302301302302302302302301301300300299298298299298299298299299299299300299299299298298299298298299299299299299299299299299300300300300300300301300300302301302302302302302301301301301301301301302301301301300300301300300299299299300300299301301301301300301300300300301300300300300301302 296299301301302303999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299301297299300297299299300300299298298297296297298297296298298296297297296296295297295298297296295297297296296296296295297296295295294295295296298298299298300297297298300298297298300300299298298297297297298298299302302300301302299300302302302301301298300297299299300300300301300296298298297297296296297297294295295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294999999999999999999999999295294293292293294293293296298299299299299299300300300300300300300300301300299299299299300300300300301300300300300298299299299299298297298298298298298297296297296297297298297297297297297297298297297297297294295296296296297295296297296296297296294999297298299297297297297298297298297297297297296296296296294295296296295295295297297297298298297297297297297297299298299298298297298298298299299298297297298299300300299299299301301301300300301301301301301301300301301302301302301302300300300301302302301302301300300300299299298297297297298299298297298298298299298298298299299299299299299300301301301301300301300301301301301301301302302302302301302302302302303303303303303304303303303303303303303302302302303302302301301302302302303303303303302303303303303303303304304304303303303304304304305303304302305304304305305305304304304304303303303303304303303304303304304304303303304303303303304304304303304305305305303304305305305306305305306305305305305304303303305306306305306305304305304303304306306305306306306304305305304303303302307306306307307305307308308308308309308307305303306305304303304304304304305304306306305305306306305305305305305305305305305304304303303304303303303303303303303303302302302302301301301302303303302302302302303303302303303304304304304303303303303303302303302302302303303303303303302302301302303302302302302302302302303302302302303303304303303303304305306306303303304304304304304303303304303303303303303303303303303304303303303303304303303303303303303303303303302302302302302303303303303303303303303303303303303302302302301302302301301301301302301301301302302302301301301300300299299298298298298298298299299299299299299299298299300299299299299300300299299298299299300300300301301301300300301302302302302301301301301301300300301300301302301301300300300299300300299298300300300300300300300300300300300299300300300300300300300300 294297299302301302999999999999999999999999999999999999999999999999999999999999999999999999999999999999302302301301303302301300298300301300299298299298297298297300299298297297296296294297295298296297297296296298295297297296297297295296294296296295296298298299298299299297299298298298298299300299299299300297298300298298300300302301301300301301302300300299300296297298298300299300300301298297298300301300302301301299299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293289999999294293293291291290290296293294292294296299298299298298299299300299300300300300299300299300299300300301300299300300300299300299299298299299298298297298299299299298297297297298298297297296296296297297296296298297297297297296296296296296296296295296297297296295291999297297297297297298297297297297297296297296294295295295295296296295296296297297298298297298297297297297297299298299299298298298298297298298298298298297298299299299298298300301301300300301301301301301301300300301302301301302302300301302301301302302302301300299300299298296297296298298297298297297297298298299298299298298298299299299299299300299299300301300300301300301301302302302302302302303303302303302303302302302302303303303304303304304303303303303302302301301301302303302302302302302303303303302303302304303304303303303304303304304303303305304304304305304304304304304303303304304303303303303303304304304304303304304303302303303304303303303304305303303304304306305306306306305305305305305304304303304304306303304305304301303303305306305303305305308307307305303303303304303304307304304307308308307308307307308305305305305305304304303303303304304304305305305305306305304305305305305305305306303303303303303303302302303303302302302302302301302302302301302302302302302302302302303303302303304304304304304303303303303303302302302302302303303303302303302301302302302302302301302301301302302302302302302303303303303303303303305306304304304305304304303303303303303303303303303303303303303303303303302302302302303302303303303302302302302302302302302302302302302302302302302302303302302301302302302301301301301301301301301301301301301302301301300299299299299298298297297298298299299299299299299299298299299300300299299299300299299299299298299299301300300301301301301302301301301301301301301300300300300301300300300300300300300300300300300299300300300299300300300299299299299299299299299299300300300300 295299298300301299305999999999999999999999999999999999999999999999999999999999999999999999999999999999302302303301302300300297297297299300300300300300297301300300300301297295297296297297297297296295292295295297297297298296298297296298296296296296297294300299300301299297298296296298297299298299299299299299298297297297297299300300300301300300301299299298300299299299299299299299300298300300300298301303304303301298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294999999295296293292292292292291291293292294294295297299299300300299300300299300300301301300299299299299299300300301300301302301300300300301300299299299298299298299299300299298297296297297298298297297298296298297298296298296297296297297297296296296295295296296295296296294295298298298298298297297296297297297297295298297295295296295296295295297297296297298298298297296296297296296297298299299298297298298297298297297298298298298298298298299298298300301301300301301301301301300300300300300301301301301300301302302302301302302302300299299298298297296296296296296297297297297297297298299299299299299298299300299299299299299300300300300301301300300301302301302301302302302302302303303303302302302302302303303303303303304303302303303302302301301302302302303302302302302303303304303302302302304304303304303303302303303303302304305304304303304303303304304304302303304304303303304303304304303304303303303303303303303304304303302303303303304304306307307306307306305304305304305306307303306304303304303304305304302306303306305306305304307307307305302304304304303303304304308309306306306305306307307305304305304303303303303303303303304305305304305305304305305304303303303303305304304303303303302303302302303302302302303302302301301302302302302302302302302302301302302303303303304304304304304303303303303304303303303302302303303303303303303302301301301301302303303301302301302302302302302303303302303303303304305306305304304304305304304303303302303302303303303303303303302303302302302303302302303303302303303302302302302302302302302302302302302302302302302302302302302302301302302302301301301301301301301302302301301302302301300299298299298298298297297298298298298299298299300299299299299299299299299299300299299299299299299299299300301301301301301301300301301301301301301300299299300299299299300299300300300300300300300299300299299299300299299298298298299299299299299299299299299300 302300297300297298303303999999999999999999999999999999999999999999999999999999999999999999999999999999300301299299299298299298298297299298298299299298300301301300300298298298299298298299298298296296295297296297297297298298297296296297298297296999999297299299299298298297297297296296299297299298298298297296297296296295296298301301302301299299298298299298302301299301301300299299299300297296300302302302303303301298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301999299299294293291291291292291292292292294294295295298299299300300300299300299299299300300299299300299299299299300301299300300300301300301301299299299299299300299299300300298299298297296297297298297297298298298299295299299297296295297297295295295295295295295296296295296294999297297297298297298298296296297296297297296295296295296295296295296296297296296298299299297297297297297297298298298299299299299298298298298297298298298299297298298298299300300300299300301301301302301301301300300300301301301302302301301301301301302301301300299297297296296297297296295296297297297297297297298298299299298300299299299299299300300300300301301300300301300300301301301302302302303303303303303302302302302302301302303303302303304303303303303302302302302302302302302303302302302302302303302303304303304303304304303303303303303302302302305305303303303303304303303304304303303303304304304303304304304304304303303303302302303303303303303303303303303304305306306307305307307306306304304305303306305304304305305304305303303305307305305308306306305305306306305305305305302302301305304305306304305305307306307308308304305304303304304304303304303304304304304304305304304304303302302303303303303303303303303302301302302302302302302302302302301302302302302302302302302302301302302302303303303303303304304303303302303302303303303302301302302303303303303302301301300301301300301302302303301302301302302302302302302302302303304305304304304304304304304303302302302302302303303302303302302302302302302302302302302302302302302302302302302302302301302301301302302301301301301302302302302302302301302301301301301301301301301301301301301301301301300299298298299298298298298297297297297297298299299299299299299299300299299300300299299299299298298298298299299300301301300300301300300300301300300301300299299299299300300300300299300300300300299299299299299298299299299298298298298298299299299299298299299299299 304302301296298298299999999999999999999999999999999999999999999999999999999999999999999999999999999999301302303304302304302298297299299299298299299300301299300300299300298298295296300298296298298297296297297297298296298297296297297297298298999999999999296297298297297297297297297296296297296298298297298296296296296295297297298300302301302299299298297302299298299297303301298295297297296297302299302303297301302999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297298298295292289291292291292293293293294295296298299299300300301299300299298299299299300299299299299298299299298300300300301301301301300300299299299299299300300300300301299299299298297297299298299299299302298299298298298298298297296297296294294294295297296296297295295293295296295296298297297297296295296296296296296296295296295295294296296296297296296298298298297297296297297298299297298297298298298297298297297298298298297299297297298298298300300300300299300300300301300300301300300301301302302302302300300300300300300300299299298298298295295297297296295295296297296297297298298298300300299300301300300301299300301301301301301300300301300301301301302302302303303303303302302301302302302302302302303303303304304303303303303302302302302301301301303303302301302302302302302303303303303303303303303304302303302301302302304304302302303302302303304304303302302304304304304305303304304304303303304302303302303303303303303304305303304305305305305306305306305305305304304302304305305306305307306304304304304305307306306306305306306306307304306306307303302303303303304305304304302303304304306304304305306305302302304303302303303304304304305306304304303303303303303303302302302303303303303303304302302303303303302302302302301301302301301302303302301301301301303302303303303303303304304303303302303302302302303303302302302302302303302303301300300302302302301302301302302301302302302302302303303303302303304304304304304303303303303303303302302301302302302303302302302302301302301301302301302302302302302302302302302302302302301301301301301301301301301302301302302302301301301301301301301301301301301301301301301301301300300299298298298297297298298297296296297297298299298299299298299299299299299299299299299299299299298298298298299299300301300300300300300300300299299300299300299299300300299300300300299299299299299299299298299299299298298298298298299298299298299299298298298299299 298299302301302301300305999999999999999999999999999999999999999999999999999999999999999999999999999999300302305302301304301297298298299299300300298299300300299299298299300298297298297298297297296298296297298299298299297296298297296296297297300999999999296296297298296298297298297297296296297296297297296296297296296294296297298299299299299300299297297298303298298299300298295294298298293299299298303300301301999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297296296293291291291291291292293293294295297299300300301300301299300300299300300300299298298298299299298299298299300299300301302300301301300299300299300300300300299299299299299299299298298299299299298298298298297299297297296296295296296296296296295296297296296296295294297295295296297297297296296295295295296295295296295296295295295295296296295294296298298297296297297297297298298298297298299298298298297298297297297298298299298297298297298299298300300300300300300301301300301301300300301302302302301301300299300299300299300299299298295295296296296296295295296297297297297298298299300299299300300300301301300301300302301301302300300300301302301302302302303303303303302302302302301303303303303303303303303303304303303303303302302302302301302302302303302302302303303302302302302302303303303302304305303303302303302302303304302303302301301302303303302303303303304304304304304305304305304302303302303302303302302303303304304303303304305305305306305304305305304304304304304303305307307307306305305305307305304304305306306306308307306307306305305303302303303303304304303301302303304303304303304303304303302302303303303302302303303304304305304304304304303303303303303301302302303303303303303302302302302302302302302300301301301302302301301302302301300301302302303303303303303303303303303303302302302302302303302302302302302302301302301300300301303302303303302303303302302302303302302303302303303302303303304304303303303302302303302301302301301302302302302302302302301301301301301301301301302302302301301302302301301301301301301301301301301302302302301302301301301301301300301301301300300300300300300300300300300300299299298298298297297297297297296297297297298299299299299299299299299299299299299299299299299299298298298298298299300300300300300300300300299299299299300300299299299300299299299299299299299299299299299298298298298298297297298297298298298297298298298298298299300 301298303305303305300304302999999999999999999999999999999999999999999999999999999999999999999999999304303302304302302301300300300299298299300299297298299298299299300300300300298299298298299298297297296299300299299299298298296297297296298297297297999298297297297296296298297299297298298295297297296296296294295297298297294298298300298298298297299300298298301299297295299296298298300298298300299301301301301999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296293292291291291292291291294295295296298300300299301301301301300300299300300300299299299298299299298298299298300298298300300300301301300300300301300300300299299298299298298298298299299298298299299299299297297297297297296295294294295297295296296297296295297296298296294297294296297297297296296296296295296295295295297296296295296296295295295295296296297297296295296296297298298298298298298298298298297297297297297297298299299299298298299298298299300300300299299300301301301301300300299301301302301301299299300300299299298299298298296297296297297297297296297298298297299299299299301300300300301300301302301301301301302301300300300301300302302302302302302303303303302302302303303303304304303303304303303304304303303303303303302302302302303303302303302301302302302302303302303303303303304301303301304303302303302302302302302303302301302302303303302302303303305304304304305304304304304303302303302302303303303302301303303302303304304304305305304304303304303303303304304304304304306305305305304304306305302305305305305305308307306306305304304304304304305306304303303302303303304304303304302302300301302302303303303302303304303304304304304304305305304303302303303302301302303302303303302302303302301303303302302301302302302302301301301301302301301301301302303302303303303302303303303303303302302302302302302301302302302301301301303300301302303301303302302302302302302302302302302302302302302302302302302302303302302302303302302301301301301302302302301302301301301300301300301301301301301301302301301301302301301301301301301301301301301301301301301301301300300300300300300300300300300300300300300300300300299299299299298297297297297297297297297296297297297298299298299299299299298298299299299299299299299299299299298298298299299300299299299300300300299299299298299299299298298299299298299298298299299299299299298298298298298298298297298297297298297298298298298299299299300 301296302303303300300302302303999999999999999999999999999999999999999999999999999999999999999999999999302301301301300298296297296296298297300298297297298298299300299299300299299299300299300298298298298298297298300300299299297296297297298297296296296297297298296297296298298296297296297296296298296297298298293295295295295297300300298298297296296297296299298298296298299296296297297297298301301301304302999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296295295293292293292290292292293293295296298299299299300301301300300300300301301300300299300300299298298298299299300297299299299300300301301300300300300300301301300298298298299298297298297298299300299298298297295296296296297295295999294295296296297297297297297297296296297295297297297297297296296295295294294295294295296296296296296296296295296296296296296296295295296297295297297297297297298299299298297296298297298298298298299298298299298298298298299299299299299299300300301301300300300300301301301301302299301300299299298298298299296298297298297297298298297298298299299299299300301300300300300300301300301301301301302301300300301301300302303302302303303302302302303303303303302303304303303303303303302303303303303303303304303302303302302303304304303303303302302304304303304305303303305302302302303303303303302303302301301302303302303301303303303301304304304305305304303304305303302303303303302302302303302302303302303302304304304305305304304303303304302303301303303304305303305305304306306305304306305305305304305307307307307305304304304304304304304304305305304302303305304303303303303303302303304303303303303303303303303304304304304304304304304303303303303303302301302302302302302303303303301302302302302302302301301302301301301301301301301302302302302302302303302303303303303303303303302303303302302301301302302302301302301301301302302302303302302302302302302302302303302302302302302302302302301302302302302302302302302302302302302302302302301301301301301300300300300300300300300301301301302301302301301301301301301301301301301300300300301301300300300300300300300300299300300300299299299299299299299299298298297297297297297297297297297296296296297298299299299298299298299299299298299299299299299299298298298298298299299300299299299299299300299299299299299298298298298298297298298297298299299298299299298298298297298298298297298297297297297298297298298298298298299 301301300301303300300300301301301999999999999999999999999999999999999999999999999999999999999999999999298302300300299299296297296297297298300298298298298299299299299299298298299300300300299300299298298298298298299299298298298297298297298297295294297297295298296297296298298297297296296296297295297298298298296297296296295297301300298298297295297296298297297296297295297295295296295295294297296301303999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295295299298294293292292292292291292293293294296296298298298299299300300301299299300301300301300299300299299298297300299298298299299299300300300300300299300301300300300301300299298298297298298298297296297299297298295297298297297297296295294294999296295294295296296296296297297297298298297297297297297295297295295294294294294296296296295295295295296296296296295296296295294295296297296297297298298298298298298297298297297298298298297298298299299299298298299299300298300299299299300300301301299299299299300300300301302300299299299299299299299299299298298298298297298299298298299299300299299300300300300300299300299301301301301301301300301301301300302304302301301303303303303303303303302302302302302302303304303302303302303303303303303304303303302303303303303303304304304303303303301303301301300304303303303303303303303303303303302302301301303302302303302302304305304304304304303304304304304302303302304302301301301301302302303303303301302304303305304304303304304304304304304303303303304303306306305304305305306305306304305305304305306307306304305306305305304304305304304307306306303305305302302302301303301304304303304305305304304304305303303303304304304303303302303303302302301300300301302300302301302302302302302302302302302301301301301301301300300300300301302302302302302302302302302303301302303302302302302302301301301302302300300302301300301302303302302302301302301302302302302302302302302302301302302301301301301302302301301301301302302302301301301301301301300300300300300300300300300300300300301301301301301301301301300300301300300300300300300300300300300299299299300299299299299299299299299299298298298298298298298297297296296297297296296296296296296295295296297299298298299298298298298298298298298298299299299298298298298298298298299299298298299299299299299298298297297297297297297297297297298298298298298298297297297297298297297296296296296297297297297297297297297298298 301300299299301301300299301301299999999999999999999999999999999999999999999999999999999999999999999999301301301300300298298297297295296296298298297298298298298299300298299299299299299298298299298299299299299299300300300299299299298298297295295295296297298300297298300298297298297296296296296296297297294297297298297296297296300300299298297295294297298299296296297296296296293295294293294296296301999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295297298296295293293293291290292293295294295295297296297298299298299300301300300300301301301301300299298300299299298299299299299298299300299299300301300300299299297300300299299299298298298297298299298298297298297296298298298297296296295295294999294295295295296296296296296296298298298298296296297296296296295294294294294294295296296295295294296296296296296296296296295295296295297297296297298298297297298298298298298298297297297297297298299299299298298298298299299298298299297298300300300299299298299299299300301301301299300299298299298299298298298298299298298298298298299299299298299299301300300301300299300301300300301301301301301300301302301302303302302302304303303303302303302302302302302303302303303303302303304303303303303303304303303303303303303302303305306304303302303301302304304301303302303302303303303302303302301302301301300302302302302302301303303304303303303304304304304304303303303303303302302302301301303302303303302304304304304303304301303303304304304302301301302302303307307306305304306305304305304305305306304305308306304304305304304303304303303304306305304305305304303303302302303304303302303303305304304304303305303304304304304303303302302302302301301301300301300300300301300301301301302302302301302301300301300300301301300301301302301302302303302302302302303302303302302302302302302302302302301302302302301301302302301301302302303302302302302302302303302302302303302302302301301301301301301302302302302302302302302301301301301301301300300300299299299299299299299299300300300300300301301301301300300300300300300300299299299299300300299299299299299299299299298298298298298298298297298298298298298297296296296296296296296296295295295295295296295295298298298298298298298298298298298298298299299299298298298297297298298299298298298298298298298298298298297297297297297297297297297297297297297298298297296297297297297296296296296296296297296296297297297297297298 301299299298299299302300301302300299999999999999999999999999999999999999999999999999999999999999999999301300299299298296296295295295297297298298298299299300299297300298298299299299299299298297298299300300300300299299300298296297297297296296296296296297297297297297295298298298298296297296297297296297297298298298297294297296296298299299296295295299298298297296297295294295293293293293294291294296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295296295292290291291291292293294294294295297296296300298298299299300299300301301301301300300300299300299299298299299300300299300301301299299301301299299299299300299299298298299299298298298298298298297296297298298298297297297297297296293294293295295295295295294295296296297297297297297296295296296296295294293293293294295296295296295295295296297297297296296295294294296296295296296297297297296296297297298298298298297296295296297297298298297298298298298299298298298299299299299300300299299299298299299300300300299300299298298298298299298299299298298298298299299298297299298299299299300300301300299300300300300301301301300301300301302303301301302301301302303302302302303302302302302302302302302302303303303302303303303303303303303303303303303303304303303304305303302302301303302304303303302303302302302301302301302303303302300302301300301302302302302303302303303303304304304303303303303302302303303303302301301300302302302303303303303302303303303304302302303303303301303302302303305305306305303302304305304305305305305306307306306305305305305304303304303303304304304301302302303303303303303301303304303304301303303302302304304304304305304303303304304302302302301301301301300300300300300300301302300300301302302301301301300301300301300300301301301302303302302302302302302302301302301301302302302302302302302303303302303302301301301301301302301301302301301302302302302302302302302303302301302301301301301302302302302302301302301302302301301301301301300300299299298298299299299299299299299300300300300300300300300300299299299299299298298298299299299299299299298298298298298298298298297298297297297297297297297297297296296296295295295295295295295295295295295295295295297298298298298298298298298298298298298299299298298298297297297297298298298298298298298298297298298297297297297297296297296296296296297296297297297296296296296296297296296296296296296296296295296296296296296297 301299300302301301301300300300298301300999999999999999999999999999999999999999999999999999999999999999301299298298297295296295294295296297298299298298298298299299299299299300300298299300299298299299300300300300299300299299296296298296296297297296298296297297298299298299298299297295299295296296297297296298298296297297297298298302301299300298298296299300298298296295294294293292291291292294290999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301298294295295292291291290291292293294294294296297297298299298298299299300300300301302301301300300300299300300299298300300300300300300302301301300301300299299299300301299300298299298300297297297298298298298299299299298297297297296297296296293293294295295295293294294294295297297297296296297295297297296296295294293293292293296296295296296296295295296297296297296296295295296296296296297297297297297296297297298299299298298297297297297297297297297297297297298299297297298299299299299298299299299299298299300300299300300298299298298298298299298298299299298298299299299298299299299300299299300300301301301301299300300300300300300300301300302302301302301300301302302302302302302303302302302302302302302303302303302303303302303303303303303303303302302302303303304303304303303302301302301301302303302302302302301301300301302303301300301302301301301301301301301302302302302303303303302303303302303302303302303302302302301301303302303302302303301302302302302302301302303303303302302303304303303303303303303303305305304304305305306307307306306305304305305303304303303302302302302301302301302302302303303303304303302302303301302302302304304303304304303303301304303302302301301301300300299299300299299300301302300301301300301300300300301300300300300301301301302302302302301302302302302301301301301301301301301301302302302302302302301302301301302301301302302302301301302302302303302301303302302302302301301302302301302301302302301301301302301301301301301301301300300300299298298298298298298298299299299299299299299299299300299299299298298299298298298297298298298298298298298298297297297297297297297297297297297297297297297297297296296295295295295295295295295295295295294296296297297298297298298298298298298298299298298298298298298298298298298297297298298298297297298297298297297297297297296296296297296296296296296296296296296296296296296295295296296296296296296296295295295296296296296298 300299298300300300300300299299299298300999999999999999999999999999999999999999999999999999999999999999299299298298297296296295295295297297298296297297297298298299298298298299299298300298999298297298298300300299299298297297296295297297298298296297297298299299298299299299299301299295298297297296297297297298298298296296297298298303302302301301301302302299299298297296295296294294293282293294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298297294294294292292292291292293293295294295295297296299299299298298299299300300301301301300300300300300300300300299299299299299299299299300300300300300300300301300299299299298299298300299298300299298300298299298298298297296296296297296296293294295295295294294295295294296296296296296297296297298297296295294293293293293294295296296295296295294295295296296296295295296296296296296296296296297297296295296297298299299299298298297297296297297298297297297298299299298298298299299299299299299300299299298298299299299299300300300299299299299300297297297298298299299299298298299299299300299299299300301300301300300300301300300300300300300300302302302302301301301302303302302303303303302302302302302302302303304303303303303303303303303303303303303303302304304303304303302303304303302301300300300302303303302301301303301300301302301301302302301301300300301301302302303303303302303303303303303303302302303302301302302303301301302303303302303302301302301302302302302302302302302302303303304303302303302304304303304304305304304305306306306306306306306306304304303303303302303304303302302302302303302302302303303304301301302301302303304303303303304303302302301302301302301302301301300299300300300299301300302301301301301301300300300300300300299300300300300300301301302301301300302302302302301301301300301301301302301302302302303303302303302302302301301301302302301301301302302302302302302302302302301301301301301301301302301301301301301301301301301301302301301300300299298298297297297298298298298298299299299299299299299299299299298298298297297297297296297297297297297297297297297297297297296297296297297297297297297297297297296296296295295295295295295295295295295294294297296297297297297297297297297298298298298298298298298298298298298297297297296297297298296297297297297297297296296296296296295295295295295295295295295295295295295295295295295295295295295295295295295294295295295295295297 305304299300299296298299298299298297299999999999999999999999999999999999999999999999999999999999999999299299299297297296296294295294296297297297297297297298298297298298298299298298298299298297298298298299299298298298298298296296297297297297298298298299299299299300299298300298297296296298297297296297299298298298298297301301300305304303303303303305303302298299297296296297297296292999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293292291292292291292292292292294294294295295297299299299298298299299300300300301300301301300300300301301300299298298298299300299299299299300302301300301300299299299299298298297296298297297296297300298298298298297298296297296295296294296294295294295295293294294294294295295296295296296296296296296294293293292293293293294294296295295295295294295295296296295296295296295295295296295296296296294296296296298299299298298298298297297298298297297297298298299298298298298300299299300299299299299298299298298299299299299300299299299299298299298298297298299299299298299299299299300300299299299300301300300300300300302301300300301301300300301301302301299301301302303303302302302302302302302303303302302303304303303303303303302303302303302303303302302303304304303304302304304303303303300299300302302302302301303302300299300301301301301301302301302301301301302302303303304303302302302303302302301301302302301301301302300302303304303303303303302302303302303301302301301301302303303302303303303302302303303303303303304304305306306306305306305305305304305303303302301301302303303303302302302302303302301303302302301301301301300300303302302303302302301301301300302301302301300301299300299299299299300301302301301302300301299299299298298300299299300300300300300300301300301300301301301301300300300300301301301301301301302302303303302303302302302301300301301301301301301301301301301301301301300301300300300301301301301302301301301300300301301301301301301300300299299299298297297297297297297297297297298299299298298298299299298298298298297297296296296296296296296296296296296296297296296296296296296296297296296297296296296296296296295295295295295295295296295296295295294295296296297297297297297297298297297297297297297297298298297298297297297296297297297297297296295296297297296296295295294295294295294294295295295294295295294295295295295295295295295295295295295295295294294295294294294294 299300300301300300300300299299299302306999999999999999999999999999999999999999999999999999999999999999300299299300298296295293296297297295296297297297298297298299299299298999299299298298297298299299298298299299299298298297298296297297296297298299299299299299299299297298299300298298299298298298299300300299298298298303303303300305303303302306307306306303298297299292292999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294292291291292292292292293294294294295296298298299300299297299300300300299300300300299299300301301301299299298298298298299300300300299301301300299298299301300300300300300299302299301301299298299299298296298298298297296297296296296294296294293295295294294294293294294294295294294295295295296296293293293292293294293294295294295296295295295295294295295295294294295295295294295296296296295296295295296297298299298298298297298299298299298298298299299299298298298298299299299300299299299300299298298299300300298299299300299299298299298298297297299299300300299299300300300300300300299300300301301301301300301301300301301301300300300301302300301300299302301303302301303302302301302302302303302302303303303303303303303302303303303303303303304305304303304303303301303303303303303301301302301302301301302301300301300301301299300301302302301301301300301302302302303303302302302302303303302302302300301301301300302303303303304303303303303303303303302303302301301301301302302302302302302302302302302302303304305305304307307308306305305305305305304302304303303303302301302302302302301303301301302302305303303302302302301301300302302302302301301301303302301299301301300300301299299300299299300299300300302301301301301301299299298298299299299299299300300300300301301300300300300300300300300301300301301301301301301301302302303302302302302302301300301301301301301301301300300300300300300299300300300300301301301301301301301302301300301301301301301300300299299299298298297297297297297297296297297298298298298298297298298298297298297297297296296295296295295295296296296296295295295296296296296296296296296296296295295295296296296296296296296296295296296297297296296296296296296297296296297296297297297297297297297297297297297298298297297297297297297297297297296295295295295296296295294294294294294294294294294294295294294294294295294295295295295295295295294294294294294294294293293293293 299303303300304300300300297299299303305999999999999999999999999999999999999999999999999999999999999999298301298299299296293295297297296296296296298297298298297298299298299299300298298298299299299299299298299299300300299297298297297298298298299299300299299299299299299299300300300300299298297298299300301299299298299297302302304305304303304304305304301299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294292291291292292293292293294294295295296297298298299299298297299299299300299299299299299300300300300299298299298297298298300300299298298299301300299300301301302300300299299302300300298299298298298298298295298296297297296296296295295293293294295294294292293294293293295294293294295295296297294293293293294293292293293295293294294296295295295295295294293294293294295294294295296295295295295295295297297297298298298298297298297298298298298299299300300299300299299300300299301300299298298299299298297299300299298299297297297297298297297298298299299300300300299299300299299299299300300300301300300300301300301301302300300300300300300303301301300299302302303303303302302301301302301302303303303302303303303303303303302303303303303304303303305305303304304302301302304303303301301301302302302301301301300300300301302301301302301302301301301301301300301302302303302301301301302301302302302302301301301300300302303303304304304303301302303302303303302302301302301302302302302302302302301302302303302303303304305305306307307305305306305305304304304303303301302303302302302302303302302302302302303303303304302303303304303301302303302301302301302300302301300300299299300300299298298298298299300300301299299301300300299298298298298299299299298298299299300300302300300300300300300300300300300300301301302301301301302301302302302302302301302301301300301301300301301301301301301300300300300300300300301301301301301301301301301301300300300300300299299299299298298297297297297297297297297297297297297297298298297297297297297297297297297296296296295295295295295296296296296295295295296296296296296296295296295295295295295295296296296297296296296296296296296297296296296296296296296296297297297297297297297297296296297297297297298297297297297296296297297297297296295295295295295295294294294293293294294294294293293294294294294294294294294294295295295295294294294294294294293293293293292293 298301302303305302298305302300300301301304999999999999999999999999999999999999999999999999999999999999999299293298294297296999296296296297294296297298298298298298297298299299299299300298299299300299299299300299299299298298298298298298298298299299299298298298299299299299299299300301299298298299299298298298300300298302301301303302302303305305310999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296293291291291293294294293293293294294297298299299299299298298299299300300299300300299299300300300300299299299299297298298299299299299301300299299298301302301301300299298298298297299298299297297297299299298298298297297297295295294293294294293296295294292292293292295294294295295296295297295295294292292292292292292293292294294293296295295295295295293293293294295295295295296296295295295296296295296297298298298298297297297297297298298298299300300299299299300299301300300301301299299299299300301300299299300298298297297298298298297297297298299300300300300299299300299300300300300299300300301302301300300300301301301300301301301301301301301301301302303302303302302302302302302302302303304303303304303303303303303304303303304304304304304304304303304303302302302303302303302301301301302301300300300300300301302301302301302301302301302300301301301302302302302301301302302302302302302303302301301301303302300303302304304304304302302302303303304303302301302302302302302302302302302302302303304304303304306305306307307307306306307307304306306305304303302303304304302302302302302303303302303304303304306306305304304303304302302302302303302303301300300300300299298298298299299298298299298299300300300300302298299300299298299300299298299299298299299300300301301301301300299300300301301300301301301301300301302302301301301302303303302302302302301301301301301302301301301301301300300301301300301301301301300301301301301301301300300300299300299299298298297297297297297297297297297297297297297297297297297297297297297297297296296296296296295295295295295295295295295295295295295296295296295295295295295294294295295295295296296295296296296296295296295296296296295296296296296296296297296296296296297296296296296296297297296297296296296296296296296296297296295295294294294294294294294293293293294293293293292293293293293293294294294294294294295295294294294294293293293293293293292292292 999999302305302300305307305299302302302301302303999999999999999999999999999999999999999999999999999999999999999300300298293296295296296295296296296297297297297297297299299299299300300300298299300300299300300300299299299299300300300300301300300300299299299298299301300300299300300300299299299298297299300297299301303303303302301302303304308999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293291292292293294295294294294295295297297299299297299299299299299300300300300300299300300300300300300299299298298298298299299299299300300298300300300301301301300300300300300299298300298299299299297298297298298297297297296294292293293294296294295295294293292291294293294294295296295296295294293292293292292293292292293291291294295295296295295295295294294294295295296296295296296296296296296296295297298300299297298297297297297298298298299300300300299300301299300300301301301300299300300300301300299299299299298297298299297297297298298298299300299300300300300299300300300300301300300301301302301301301301302301301301301301301301301302302301302302303303303302302302302302302303303304304304303303304304305304304304303304304304305304305304303304302302303303302302302302301302301301301301300300301300301302302301301302302302303303301302301302303301302301302301301300300300302301302302302302302302303302301303303303303304304302302302303303304302302304302302302301302302303302303303303303304306304305306306305306306306306306307306306306306305305304304304303303301301304302304302304302303303302304306306305304303302303302303302301302302301301301301299300299299297297299298298298299299298300299300301301299298300300299299300300299299298299298299300299299300299299299300299300301300301300301300300300301301301301301300301301302302302301301301301301301302302301301300300300300300301300300300300300301300300300300300300300300300299299298298298298297297296296296296296296296297297297297297297297297297296296296296296296296296296296296295295295295295295295295295295295295295295295295295295295295294294294294294294295295295295295295295295296296295295295295295295295295296296297296296296296296296296296296295296296297296296296296296295295295294296295295295295294293294294294294294293293292293292292292292292292292293293293293293294294294294293294294294294293293293292292292291291291 999999999301305300301301300301302303302303304304303305999999999999999999999999999999999999999999999999999999999999304299296297298298295297296296296296295296297297298299299299300300299299299300300300301300301300299300299300299300301301300301301300300300300299299300299299299298299299299299299299298301300298300303303304303303302301304298297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293292292292293294295295295295296296297297298299298298299298299299300299299299300300300299300300299299298297297297298298298298298298299299300299299301301301300300301301300300299299301300299299298298299298296297298297297297297294294294294295294295295295295294294294292294294295293295296294294292290292292293293291291290290999294295296296295295296296295295296294295295295294296296296296296297297296296298300300299298298297298298299299299300300300301300301300300299299301301302301300301301299299301299297297298298298298299299298298298299299300299300300300300300300300300301300300301301300301301301301301301301301301301302301301301302301302301302303303303303303303303303303303303304304304304304304305305305305305304306306305304303304306306304303303302301303302301302302302301300300301300300300301301301301302302302301302302303303301301301302301301301301302301301300300302301302302302303301303303302302301303302303303303304304302303304304304304304303303303302303303303302303303304303304305305305305305305305306305306306306307307306305305306305304303304304303303303304303304303303303301303302303305305305303303303303302301301300302302301301301301299299299299298297297299298299299298299301301300300301300299301300299300300299298299299298299299299299299299299299299300300299300301300300300300300301301301301301301300302301301302301301301301302302302302301301301300300300300300300300300300300300300300300300300300300300299299299299298298297297297296296296296296296296296296296297297297297297297297296296296296296296295295295295295295295294294295294295295294294294295295295295295294294294294294294294294294294294295295295295295295295295295295295295295295295295295295296296296296296296295295296296296295296295296296296295295295295294294294294295294294293293293292293293293293293293292292291291291291292292291291292292293293293293293293293293293293293293292292291291291291291291 999999999306308300301301299300303303302303303305304304304999999999999999999999999999999999999999999999999999999999302298297299298293295295296296296296295296297297298297298299299299298298299299299300300300300300300300300300300301301299300299301300302302300300300300298299299300300299300300301301300299298298304304303300301305302301300299301999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292291292292294294295295295296297297297297298298299298299299299299299299299300299299299300300299297297297297297298298298298297298298299300299300300300300299299300300300300300300300299298299299298297297297296296296296297297294293293291295294295295295294294294294291292294294295293293293292290290290292292292291290999999999999295296296296296296296296296295296295294294295295296296297297296296298298299300299298300299297299300299300300299299300300300302301301299300301301301300301302301301300300299297299298298298298298299299298299300299299300300299299300300300300299300300300300300301301301301301300300301301301300302302301302303303302302303302302302302303303303303304304304304305304305304305305305305305304305307305305305304305304304303304303302302302302304303300301301301300300300300299302301302301301301301303302303304302302303300302301302300300302301301302301301301301302302303303303303303303303303303303303303304304303304304304305304304304303302304303304304303303303304305306306305306306305305304306304306306306307306306305304305304304303304303303303304302303302303302304303301302303304304304303302303302302301301300300301300301300299300300299298298298298300298299299298298300301299301300299299299299298299299299298298299298298299299299299299299299299299299299299300300300299299300301300301300300301300301302301302301301301301301301301301301301301300300300300300300300299299299299299299300299299299299299298298298298298298296296295295295295295295295295296295295295296296296296296296296296295295295295295295295295295295295294294294294294294294294294294295294294294294294294294294294293294293293294294294294295295295294295295294294294294294294294295295295295295296295295295295295295295295295295295295295295294294293294294293293293293293294293293293293292293292292292291292291292291290291290290291291291291291292292292292293292292293292292291291291291290290290290 999999999999300301303301301304303301302302303301303301304304999999999999999999999999999999999999999999999999999999999293296297295292293296295295294295295297297297297298298298298298299298298299299299298298299300300300300301300300300299298299300300301301302300299299298297299300299301301302302302303301303302302303302301302302304304300303999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293293292294294294295296297297298297297298298299299299299299299299300299298298298299299298297297297297297297298298298297298297297298300300301300301300300300299301302300301302301300299298300299298297298296296295298297297296293293294295295294294295294294293292292293294295295294293292290291290290291292294291291999999999295295296296296295293296297297296296296295295296296296297297298297298299299298299299299299299299299299300300300300300300300300302302302301301302300300301301301301301300298299301300300297298297298299300300300300298299300300300299300300300299300300300300300300300300300301301300300301301301302302301302303304303303302302302303302302303302303303304304304304305304303305305306305305305305304305304305304304304304304303302304303303302301303303303303301301301301301301302302301302302302302302303303302303303301301300301302300299302301301300301301300301301301302303303303303303303304304304303303303304304304303304304303303304304304304305304305304304304302304304304305306308307305306306305305306306305306306305306305305304304303303303303304304304304303304302305302302302302303304304304304304303302301301301300300300300300300300299300299299299301300300299299298299299300300300300299299299299298298298298298298298298298298299298298298299299299299299299299299300300299300300300300300300301301300300300301301301301301301301301301300301301301300300300300299299299299298298299299299299298298298298298298298297297297296295295295295295295295295295295295295295295295296296295296296295295295295295295294295295295295295294294294294294294294294294294294294294294294294294294294293293293293293293293294294293294294294294294294294294293294294294294294295294295295295295295295295295295294294294294294294294294293293293293292292292292292293293292292292292291292292291291291291291291290290289289290290290291291291291291291291292292292292291291290290290290289289289289 999999999999999310296300303999302304303303303303304304304303303999999999999999999999999999999999999999999999999999999999296294293293294295295295295295296296297298297297297298297298298298298297298298298299299299299298299300300299300299298299300300300299300299299299298297299298298299300299302302302301303304302301301304302300304306303304999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293292293293292293294295296298297296297298298299299298298298297299298298297297298297296297296296296296296297296296297297296299298300299300300301299299298296299300300300300301300299299299298298297298297297297297297297296295295295295295294294293292293290291292292294294294291292292291291290287291293293296999999999999296296296295295296295295296296296296295295297296295295296297298298297299299299299299299298298298299300300300300300300300301301301302301301301301301300300301301301300300300299298299298298298297298299298299300300301301300299301300302299299300301301300300301300299299300300301300301301301302301302301302302304303302302302302302303301302303302304304304303304304305304305305305305306305305304304304305305305305304305306303303303305300303303303304303302301302302301302302303302303302303303303303305304303302304301301302302303302301301300301302302301302301301302303302302301303303303304304304304303304305304303304303304303303303304305306305305304303303303304305305305305304307305306305306306306306306306306305305305305304303304303302303303303303302303304303301303302303303304304303304302303302302301300300300299299300299299300300299300300301300299299300299299299299299298298298297298298298298298297297297297297297298296297298298298298298299299299299298299300300299300299300300300300301301300300300300300301301301301301301301301300301301301300300300299299299299299298298298298298298298298298297297297296296296295295295295295295295295294294294294294295295295295295295295295295295294294294294294294295294295294294294294294293294294294293293294293293294293293293293293293293292292292292292293293293293293293294294293293293293293293293293293293294294295295295294294294294294294293293292293293293293292292292291291291291291291291291291291291291290291291291290289289290290290290289290289289289290290290290290290291291291291291290290290289288288288288288288 999999999999999999310307999999999300302302301296305301301304304305305295999999999999999999999999999999999999999999999999296295293294293294295295295296295296297297297297298298298298298297297298298298298299298299299299299298300301300299300300300301300300300298301299298299300299299299299300302302305303303303303301301302303303306309304304999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299296294292291292291292292293294296296296295295297298298297297298298299298297297297297297297296296295295295295296296296296297298299299299299299300299299299298298299299299299300299299298298298298298298299297296296298297297295294293294294295294292291292292292291291292291292293290292292293291290289288999295295295999999999297296295295295294294295296296296296295295296296295295296296297297297297298299298299298296297298299299300299299301301302302301300301301298301299299298301299300300300299299299298299298299298298299299299300300301299299299298299298300300300300299300299298299299299299301300301300300301301301301301301302301301301300300301300300302301302302303303303303303303303304303304304304304303303304304304304304304304304304304305304300303302302303300301302303302302301301300300301301301303301301302301304304303302302303300300304299301299300300302299301298298298301301301302301300301301303303303303303303303302303303303302303302303303302303304304303304304303304303304304304303303304304304305304305304305305305305306305305305304304303304303303303303301301301303303303303302302302303304304304304302303302301300301300299298298299298299299299300299298299299298298299297297297297297296297298295297298297297296297297297296296296296296297298298298298298298298298298298299299299299299299299300300300300300300300301299299300301300301301300301300300300300300300300299299299299299299298298298297297297297297297296296296296296295295295295294295294294294294294294294294294294295295294294294294294294294294294294294294294294294293293293293293293293294293293293293293293293293293293293292292292292292292291292292292292292292292292292293293292293293293293293293293292293294294294294293293293293293293293292292293293292291292292292291291291291290290290291291290290290291290290289289289289289289289289289289289289289289290290290290291290291291290289289289289288288287288288288 999999999999999999999999999999999999999295300295999302302303303303303302300999999999999999999999999999999999999999999999294292293293294293294294294295295295296296297297297298298298298296296296297297296298297299299299299299298300301297300300300299299299299298299299299299299300299300298300301305306304303302306301301303304305307308306304999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302298295293293292291290291291294294295295296296296296298296298299298297298298298298298298297297296295295295296295295298296298298300299299299299299299299299300298299299300300300300299297297296298298298299299299299299298297296295292293293294293293292292293291293292291291290292291289290289290291292290999999298295294999295296296296296295295295294294294295296297296296296296296297296296297298298299299300300300298299298299300300300299299301301303303302300302301300301301297300299300301300300300300300299299297299300299299299299300301299300299299300299298300300300299300300300300300299300300301301301301300302302302301301301302301301301301301301301301302302301302303303303302303303303304304304304304304304303304302303304304304304304303305305302303304303303302301302303302303302301301300301301301302302302301302301301301303302303301301302302299301299299298298300300299299301301298302302302302301302304301301303304304304303303303303303303304304303303302304304304304303304304304303304302304304304304304304304304305304305305306306305305304304303304303302302303303302302303303303303303303302302302303304304303302302301301300299299298298298299297298299298299298298298298299298299298298298297297296296296296295296296295296297297296296296297296297297297297297297297298298298298298298298298298298298298299299299299299300299299299301300300300300300300301300300299299299299299299299299299299298298298298297297297297297296296296296296295295295295294295295294294294293293293294294294294294294294294294294294294294294294294294293293293293293293293293293293294293293293293293293293293293293292292292292292292291291291291291291291291291291291291291292291291292292291292293293292292291292293293292293293293294293292292292292291292292292292291290291290290290289289290290289290290290290289289290289289289289289289289289289289289289289289290289290289290289289289289289288288287287287287287 999999999999999999999999999999999999999302999999999999302302303303303302302302999999999999999999999999999999999999999999999295294294294293294295295295296295295295297297297298298298298298297298298297297299299299299300300300300301302301301302302301301301300298300301300300300299299299999999302305305305305303304304302305306305308309309305999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301297294293293293291291291291293294295295297296296297298298298297296297298298298297298297296296295295293295296295295297298297298299299300300298299299300300299299299299300301301300299297296296296298298298298298298298298297298296295293293293292294291293292292293293291291291292290290289290289292289999999296296294295296296296296296296295295294294295295296296296296297297297296297296296297299299300300300300300299300298298300300299299299301300301303302300300299301299298301299299298300299299301300300300300299300300300300300299298301300300300300300299299300300299301300300300301300300301300301301301301301301302302302301301301302300301302301301300301301302301302302302302302303303303303304304305305304304304303302304303303304303303303304303303304303304303303301302302302302302302302300300302302302303300300299300300299303300302299300302301301299299299299297298297295300300299300299300301303304303304304305304303302303304304303302303303304303305304303303303303304303304304304303303303304303304304305303304305306305306305306305305305304304303303303302302302302301302302303302302301302301301301302301301301300301300300300299297297298297298298298297297297297297296297297297298298298297298297295296296296295296295296295295296296295295296296297297297297297297297297297297297297297297298298297297298298298298298299299298298300299299299300299299299299299299299298298299298299299299298298298298298297297297297297296296296296296295295294294294294294294293294293293293293293293294294294294294294294294294294294293293293293293293293293293293292292292292293293293293292292292292293292292292292291291291291291291291291291291290290290290290290290290290290290291290288293293292292291291292292292292293293293292291292292291291292292291291290290290290289290290289290290289289289289289290289289290289289288288289288288289289288288289289289288288288288288288288288288287287287287286287287 999999999999999999999999999999999999999301999999999305302303304304302302301301300300999999999999999999999999999999999999999295294295293294294295295296296296296297296296298297297297297297296298297297298298298298299299297300301300301301301301301301300300300300299300300300299299301999999999999305304304305305304305305305305308307309309999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298295293292291292291291291292292294294295295297297297297297296296297298298297297297296295295295295294295295296296297297296297298298299300300299299300300299299299300300300300299297298296296298298298297298297297297297293296296294294294293291292292293292293294292292291291292290289289288287287288999293293295296297297297297297296295295295295295295295296297296296296297296297297296297298299299300300302302301301300299300300300300300299300299299301301300300300302299299301299299299299300300300300300300300299300300300299300300300301301300301301301300299300301302302302301300300301301301301301301301301301301301301301302300301301301301301301301300299302302301301302302302302302302303303304303304304304304306302304304304303303303302303304303304303302304302302300303304302302302302301301301302301302302301301301302301301303302302302301300300300298302301299298299298299300299299301302302302303304303306304305305302304304302303304302306305304304304304303302303303303304305305304304304304304304304304303304304305306306306306306306305305304304304304303302301302300301301302301301301301300300300301301300300300300299298298299298296298296296297297296297297296297296296297296297297297297298298296296295295296295295295294295295296296296296296295296296297297297296296297297297297297297297297297296297297297298297297298297297298299298299298298299299298298299299298298298298298298299298298298298297298298297297297296296296296296296295295294294293293293293293293293293293293293293294294294294294294294294294293293293293293293293293293293293293292292292292292292292292292292292292291292292292291291291291291291291291291291290290290290290290290290290289288289289290291291292292291291291291291292292292291292292291291291291291290291291290290290289289289289289289289289289289289289289289289288289288288288288287288288288288288288289288289288287288288288287287287287287287287286286287286 999999999999999999999999999999999999999999999999999301308302303302301301301301302301300999999999999999999999999999999999999999292294294293295293295295296295296296296296296297297297296297297298297297297298297298299300300300301302301302301301301301302300301300300300299299299297298999999999999999305302304304303306304306307308309309309999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296292291290290291291292292290291293294296297297296296296295296297296297296296296295294294294294294294295295295296298297297296298298298299300301300300300299299299299298301300300296295296296296298297297296294294288287292293292293292292291291291291294294294294293292292292289289290287286284999999999999295296296296296296296295295295295295295295295296296296297297297297296297297298298299300301301300301302300301300300300300300299299299299299300301300301303300301301300298298299299300301300300300300300299300299300299301300300300302301301301301301301300301301301302300300299300300301301301301301301301302301301302302301301301301300300300301301301301301301301301302302303302302303304304303304303303304304304304304303303304304305304304304302302304304304304304304304303303303302303302302301302302301302302302302302303302303303302301302301300300298300299299299301299299299301301301302302303304302306307306301304302303302303303303304304304304304303302302303303303304305303304305303305304304304303304303304304304305306306306305304305304304303302303302302301301301301300301300301301300300300300300300299298299298298298298297296297296296297297296296297297297297296296297298297296297297298296295294295294295294295295296296295295295295296295296296296297296295295296296296296296296296296296296296296297297297298297297297297297297298298297297298297298298297298297298298298298298298297298297297297296296296296295295295295295294294294293293293293292292292292292292292292292293293293293293293293293293293293293293293292292292292292292292292292292292292291292291291292292291291291291292291291291291290290290290290290290289289289289289289289289288288287287287287288290289291291290290290290291291290291291291290291290290290290290290290289289289288288288288288288288288288288288288289288288288288287288287287288287287287287287287287287287286287287287287287287287287286286286286286286 999999999999999999999999999999999999999999999999999306303303306300301301301302302302301302301300999999999999999999999999999999294293293293294294295295295294297296296296296297296298298297298297296297297297299299299300299300300301301302302301301301301301301300300300299298299297297999999999999999999999999999999999999309307310307309306999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291289291291291291291291291291292294295297296294296296295296296296296296296295295294294294293293294295296297297298298297297297298298298298299301300299299299299298299299299298297297296296296298298296295292999999290289289290291291292292292291293291293292293291289292292290288288287286286999999999999294294294294294294294295295295295295296295297295295296296297297297297297297298299299299300300300300301300300300300300300300299299299298300299300300300300300300298300298299299300300301300300301300300299299299300300300300300300300301301300301301301300300300301300301300300299300300301301300300301301301300301301300301301301301300300300300301301301300300301301301301302303303303304305304303302302302303302303303303304303304305304303303302304304303302304304304304303303304302302301302302303302301302301300301300301302303301301302303299299299299298300299300298298299297303301302301301302303305306303302306303303301301302301303301303303303303302302302302303303303304303303305304304303304304303304304304303304305304304303305304303301303303303302301302301302301301301300301301301301299298300298299298298298298297297296297296295296295295295296296297297296296297296296296294295295297297297293294294294294294294295296295295295295295295295295296296295295295295295295296296295296296296296296296295296296297297297296296296297296296296296296296296297297296297297297297297297297297296296296296296296296295295294294294294294294293293293293292292292292292291291291292292292292292293293293293293293293293293292292292292292292292292292292292292292292292291291291291291291291291291291291290290290290290290289289289289289289288288288288288288288288287287286286286286286289290289290290290289290290290290290290290290289289289289289289288289288288287288288288288288288288288288288287288287288288288287288288287288287287287287287287287287287287287286286287287286286286286286286286286286 999999999999999999999999999999999999999999999999999999999303999999301300302301301303303302302302301999999999999999999999999999294293293294294294296295295295296295296296296298297298296298298296297297299299299300300300299300301301302303303302302302301301299300300300299299299999999999999999999999999999999999999999999999999307304307999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290290292292291290290289289292293296296295295296295296296295296296296296295295294294294294294295295297298299298299298297298298298297299300300299294298298299298301300300298298297297296297298298296291999999999999287287288290290291292293292292292291292294293292290292291289289288286999999999999999294294292293293294999296296295296296296296296297296296296297296297297297297298299299300300300300300301301300300300300300300299299299299300300300300299299299299297299300299300300301301299300302301300300300299301301299301300301300301301299301301302301302300299299301299300299300300301301301301301301301301302301301301301301301301301301301301302301302302301303303303302304304303304305304304304303302302303302302303303304304305305304304304304304305304304304304304304304302303303303302303302302302302301300302301301304305303302301300301301298300299299301299299300298296303304305302302301303304306304302302303302302303302302302302302303303304303303303303303302303303305305305304304304304304305304305303304302305303303303305304304302302304304302302302301301301301301300301300301301300299299298298298298298298297297297297297296295295295296296296296296295295295296296295294294295296294294294294294294294294295295295295295295295295295295295295295295295295295295295296296295295296296295296295295295296295296296296296297296296296295296296296296296297296297296297297296296296296296296296295295295295295294294294294294294294294293293292292291292291291291291291291291291292292292292292292292292292292292292292292292292292292292292292292292292291292291291291291291291291291291291290290290290290290289289289289289288288288288288288288288287288287287286286286285285292289290289289290289290290290290290290290289289289289289289288288288288288287287288288288288288288288287287288288287288288287287287288288288287287288287287287286287287287286286286287286286286286286285285285286286 999999999999999999999999999999999999999999999999999999999999303302999999999301302303304303302302301298999999999999999999294999999292293293293295295295296295295295296297296297297299296299297296298298299299299300299299301301301302302302304303303303302301300299300299299299299999999999999999999999999999999999999999999999999999999999306999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292292291288287288289292294296296295294295296295295295295296296296296294294294295295296296298298299300300299299300301301301299300299299298298298298300300301300299298297298299298297296294294292999999999999285286288288290291293292293292293292292293293292292291292290291288287999999999999999292291289999999999999294295295296297296297297297297297296296297297297297298299299300300300301301301301301301301301301300300300301301300300299300299302299300297298298299301301302301301301302301301301300300299300300301300301301301302301301301302301300301299301301301300300300300300300301301301302302301301301301302301302301301301301302302301302302302302302301301303303304304304305305304304304304304305302302302303304303306305305304304304304304304304304305305305304305304304303302302303303302302302302302303302302302304303303302300301300301303299300299301299299303299302303304302302302303303304303304304303303303303303302302302303303303302305303303304304304303304304305305305303304305305305305305304304304304303303304304304305304302303303302303302301301302301301300300300300299299300299299299299299298298298297297297297296296296295296296297296296295296295296297296296296295294295296294294294294295295295294295295295295296295295296295295295295295295295295295295295295295296296295296295296296295296296296295296296296295294295295296296296296296296297296296296296296297296296296296296295295295295295294294294294294294293292292292292292292292292291291291291291292292292292292292292292292292292292292292292292292292292292292292292292292292292291291291291291291291291291291291290290290290290290289289289289288288288288288288288288288288288288288287287285284289291289290289289289290289289290290290289289289289289289289288288288288287287287287287287287288288287287287287288287287287287287287287287287287287287287287287286287287287286287287286286286286286285286285285286286 999999999999999999999999999999999999999999999999999999999999999302999999999302302302301300300300300296999999999999999999294999295294293294293294295293295295295295295297296297297298299299299299298298299298299301300300301300301301303303304303302301301301299299300298300302298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295291289288288289291293295294294294295294295295295295295296296295293291293295294293294295297298298299300300301301301299302301301299299299299301301302302300299297298298299298295293294999999999999999285286286286288288290292293293294294292293293292293293294293290290290288999999999999999291293999999999999999294296295295295296295297298297296296296297297297296298298300300300300301302301302302301301301300300300301300299299300300299299299299297298300299299300301302302302302302301301300300300300300301301301300300301302302303302301301299299300301301301300300300300301300301301302302301300301301301301301299300301301302302302301302302301301301302302302303303303302304304304304303304303303302302302305305305305306305305305304304304304304305305306305305304304302304301301302302302301302301302302301300302302303302300301300303300301299298298297299300302300302304304304302303303302302304302303303303305305304302301301304303303303303302303303303304305305303304305304304304303304304304305304304304303303304304304303303303302302301301302301301300300300300298299299298298298298298297298297298299298297297296296295296295295294294295295296296295295296296296296296296295295295295295294294294294294294294295294295294295295295295295295295294294294294294295295295295295294295295295295295295295295295295295295294295294294294295295295295295295296296297297297297296296296296296296295295295295294294294293293293293293293292292292292291291291291291290290291291291291291292291291291292292292292292292292292291291291291291291291291291291291291291290290290290290290290290290290290290290289289289289288288288288288288288288288288288288289289289289289289288286290291288289289289289289289289289289289289288288288288288289288288288287287287286286286286286286286286286286286287287286286286286286286286286286286286286286286286286286286286286286286285285285285285285285285285285 999999999999999999999999999999999999999999999999999999999999999300999999999299299298299297300298300298297296290296295293295293293295294293293293293293294295295295296296296296295297299298296297297299299299300300300299301303303303301301302301302302302301300299299299301303999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291290289289290293293294294295295296295294295295294296297295293999999999999294294296297298298301301300300299301300302301300298300301301301300302303302300298297298297297295295290999999999999286286287287287288288291292294294294293293293293293293295294294292292287999999999999999294291999999999999999999295296296295295297296297297296296296296296297297297298299300299300300301301301302302301301300301301300301300299300300300300299299298298299300299299298299301301300302301301301301301301301300300301302300301303302300302302302301302299299301301300300300301300301301302304301301303301302302301300301300300301301302301301301300300302302302302302302303303303303304303303303303304304304305303305305303306304305305304304304304303304305304305305305304305304302302302303302302302301302301302303301300301302302301302302301300300300298297298297299301301301302305303300305304304302302301303303303305305303303302301301302304303303303302302303302303303304304303304303304303304304304304304303304305304305304304304306302301300301301301300301301300301300300300298299298297297297297296296297298298299298297297296295296296295295295294295296294295296297296296295295296295295295295295295295294294294294294294294295295295295295295295295295295294294294294294294294295295295295295295295295295294295295294294294294294294294294294295295295294295295295295295296296296296296296295295295295295294294294293293293293293293292293292292291291291291291290290290290291291291291291291291291291292292292292291292292291291291291291291291291291291290291291290290290290290290290290290290290290290290289289289288288288288288288287288287288288288289289289289290290290290289289289289289289289289288289289289289288288288288287287287288287287287287287286286286286286286286286286286286286286286286286286286286286285286286286286286286286286285285285285285285285285285285284285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999297299297297295295299296298297297295293292292294294294999999999291293293293294295295295295296296296296297296298297297298297299300300299301300301303303302300301303301301302301300300300300300302999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290290289290292292294294294295296295294294294294296296296295999999999999999999296297297296296296299297298300300300300299298297301300299298298298297297297296296296296295999999999999999999286286287284285288289291292293293294294293293293293293294293292293291287999999999999294292291293999999999999999295296295295295296297297296295296296296296297298298298297298299298299300299299300301301301300301301301301301301301300300299299299300300299299299300300300300299299300301300300301301301301300301302302301302301301300301302302301301300301301301301301300300300302301301300300302303300302302302301301300300301301300301300299300300301302302302302302303302302303303304303303304304303304303303304303305306305305304304304304305304305305305305305304305305304302302303304303301302302301301302303301300300302302302301303303302302301300299298298300300296298304303301301304303303303303303302303302303304302304303302302302302302303303304303304302302303302302302302302304302303303303304304304304304303304303303304303303300298299300300300301300300299299300299298299297297297298297297296296296297297298297296296295296296295295295294295294295295295296297297297296296295295295295295295295294295294294294294294294295295295295295295295295295295294294294294294294294294294294294294294294294294294294293293293294294294294294294294294294295295295295295295295296295295295294294294294294294294293293293293292292293292292291291291291290290290290291290290290290290291291291291291291291292292291291291291291291291291291291291291290290290290290290290290290290290290290290290290289289289289289288288288288288288287288287287287287287288288288289289289289289289289289289288289289288289288288288288288288287287287287287287287287287286286286286286286286286286286286286286285286285285285286285286285285285285285286286285285285285285285285285285285285284285284284284284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999300999999999299298296999294296296296295999999296999999999999294294292294294295295295294295295295296297296297297297297297300300300300300302301301298298302303304302301302301301300300300301303300999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289289291291292293295295296295295294293293293297297298295999999999999999999999297298298999298298296296296297299298298297296298298297296297297297298296295293293292999999999999999999286286286287287287287289291291292292294294294294293293294293294291291293288999999999296293296999999999999999999295296296296295296295296296296296295295296297297297298298298298298298298298297297300300300300300301300301301300300301300299299299300300300299299298300299301300300299300302301300301300301302301301300301301300302301301301302301301301301300300301301300300300301301303303300301304302301302302303303301300301299300301300300300300300301303303301301302302302303303304303304305304304303302301303303304303304302304304303303304304306305304305305305305305304304303305303303303302302302302301302301301301302300303302302303303301301302300301301298299299299299301300302300302301303303304305304302302302303303304303302302303302303302304302303304303303304303303303302303303304302304304303305304303304303304304302303302301299297299299299298298299298298299298299298297298298298297296296296296296297297299297296295296295296296296296295296296296295296296296296296295295295294295295294294295294295294294294294294294295295295294294295294295294294294294294294294294295294294294294293293293293293294293293293293294294294294294294294294294294294295294295295295295295294295294294293294293293293293293293293292292292292291291291291290290290291290290290290290290290290290291291291291291291291291291291290291291291291291290290290290290290290290290290290290290290289289289289289289289289289289288288288288288288288288288287287287286287286287287287287288288287288288288288288288288288288288287287287288287287287287287287287287287287286286286286286286286285285286286285286285285285285285285285285285285285285285285285285285285285284284284284284284284284284284284284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300299298295297298298296999295294297298999999298294295294295295295295295296296297298298298297297298300300300299300301300301300302298301306305305304303303303304304303301301301300999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291291291293295295295295296295294292291296297296297999999999999999999999999999999999999999999999999999999999297296294294296297298296296295296296295293292292999999999999999999287287288288288288289291290290292293293295294295294294294294295294294294294293292999290296294999999999999999999297296299296296296296295296296296296295295295296297297297297298297298298298299298298299300300300299300300301301301301300300300300300300301300301300300300300300300300301300300300301301303301302301301301300299300300302301300299301302301302301301301301301301301301302304303301301303301302301302301302301301300301300300300301301302300301303302301302302302303303303304304304304303302301303301303304305305305302304303302304305305306306305304303305303305303301303303304304302303302302302302303300302302303301303303302303303301300300301300298298300301301299299299301298301302303302302302303302303303303304305305304303302303302301301303302301303303304304305304304304304304303304304303305304305304304303303301301300299297297298298298298298298298298298298297298297298298298297296296297297296297298297296297295296296296295296296296296296296296297295296296296296296296295295295295295296295294294294294295295294295295295295295294294294294294293294294293294294294293293293293293292292293293294293293293293293293293293293294294293294294294294294295294294294295294294294294293293293293293293293293292292292291292291292291291291290290291290290290290290290290290290290290291291291291291291291291291291291291291291290291290290290290290290290290290290290290289289289289289289289289289289289288288288288288288287287287286286286285285285285285284284283283288290288288289288288288288288287287287287287287287287286287287287287287286286286286286286286286286286286285286285285285285285285285285285285284284284285285285285285284284284284284284284284284284283284284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297299294999295298289296296299999296298297999297296296295296297295295295295294297298297297297297300299298298298299298302300303301300306308304304304304304301301304301303302302999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294294291999999999999999291290292292293295296297296296295295295295999295295295999999999999999999999999999999999999999999999999999999999999999999299999999999999999999999999298297296999999999999999999999286287288289288291291291291291291292293295295295295295293293295295293294294295293291292999291292999999999999299299298300298298297299296296296297295297295295296296297297297298298297298298299299300300300299300300300300300301300301301301300301300299301300300299300300301301300300301300300299301302302302301302301301301300300301301302302301302303303302302301301301301301301301302301303302302302303301302302302302301301302301301301301302302302302302302303303302303302303303305304304306305304303302303305305304304305305305303305306306306305305306305305305303306304304304304304304304305304304303302303302304303303302302304304304304302302301304302302302302300302303303301301301304303305302304303303304303304304304304304305306306306305305305304304304304304304303304305306305305306305304305304305305306306306304305304305304303301302299299299299299299300301299299300300299298298299300299298298298297297298298298297297297297297297297297297297296298298298298298297297297298297297296296296296295296296296295295295296295296295296295296296295295295295295294295295295294295295295294294294294293293292293293293294293293293293293294294294295295294295295295295295295295294295295295294294294294293293294293293293293292292292292292292292292292291291291291291291291291291291290291291291291290291291291291291291291291291292292291291291291291291291290290290290290290290290290290289289289289289289289289289288288289288288288287287287287286286286285285285284284283283283283288289289289289288288289288288288288287287287287287287287287287287287287287287287287287286286286286286286286286286285286285285286286285285285285285285285285285285285285285285284284284284284284284284284284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999295296296999999296297295999295297291297294296294295294295293296295294294296295294294294293294296296297297297297297298298298298298299299299300302300301302301303302302301300300300300297299300999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288289290291289289289288288288290291291290292293293295295295294294294295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283285288288290290290292291291291291292292293294294294294293293295291293293294291292288287999999999999999999293297298297297296297297295295294295295295295296295296296297296296297297296295296297297297298298299299299300299300300300300300299300299298299299299298298299300300299300300300299298299301301301302302302301301301302299300300301301301301301301301301301301300300300301300301300300302303300302301302301302301301301301301300300301301301301301301302301302302301303303303303303303303304305303304305305306304303305306305307305307305307307305304305303304303304304304304302304302304304304304303303303302303303303303303303303302303302301300300300301298302301301301301298300302301301301302302302303303303302303303304305306304307306305304304304305304304304303303304304304303304304303304303304304305304307306305305304303301301299298298298297298298298299299299298298298298298298299299298298297298297298297298298298297297296297296297297297297296298297298298298298297296297296296295296296296296295295295295295295295295295295295295295296295295295295295295294294294294294294294293294294294293292292292292292292292293293293293293294294294294293294294294294294294294294294295295293294294293293292293292292292291291291291291291291292291292291291290290291291291290290290290290290290290290289290290290290291291291291291291291291291291291290290290290290289289290289289289289289289289289289289289288288288288287287287287287286286286286285285285285284285285285285286287288289288288288288288288288288287287287287287287287287286286286287287287286286286286286286286286285285286285285285285285285284285285285284284284285284285284284285284284284284284284284284284283283283284284283284283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297297299291292295292293296296294295297294293292296295296296296295294294294294294294296296297298297295298298297298299297296297298302303300301300302299299299299299299301299299299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288290291290290290290289289289290290291290290291293293294294294293291999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285288290291292291290291290291292293292291293293293293293292293294293293290292293291286999999999999999999999999295297298296296296295294295294294295295294294294294297296296297297297296297297297296297297297297297297298298299300300299299299299298298298299298298298298299299299298300300298299300300300301301301300300301300301300300299301300300300300300301300300300300299300300300301300300301300300301301301301301301301301301300301300301301302301301302301302303302303303304303304304304302303305304304305305304303305305306305308307308309305305305305305303304304305305305303303303302304302302303302303303302302303302303303303302303303301299299300299300301299300299300300298299301301300299300301303303302302301301302304304304303305304304304303304305304303304304304303303303302303303302302302302301305303304305304304302303301300298298298297297297298298298298298298297297298297297298298297296296296296296296297296296296296296297296295296296296296296296296297296296295296296296295295296295295295295294294294294295294294294294294294295295295294295295293294294294294294294293293293293293292292292292291292292292292292292293293293293293293293293293293293293294294294293294294293293293292293292292291291290291290290289290291290291291291291290290289290290290290290290289289289289289289289289289289289289290290290291290290290290290290290290290289289289289289289289289289289289289289288288288288288288287287287287287287287287286286286286286286286286286287288288288288288289289288288288288288287287287287287287287286287287286286286286286287286286286286286286286286285285285285285285285285285285285285285285285284284284284284284284284284284284284284284284283283283284283283283283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290999999294293297292293295296296295296293292295296296298297295294295294294296294295295295297297295297297298296297299299295299300300298301301301302303298299299301300302304301301999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287289290291291290290290291290289290291292291291291293293293293294293289286999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284286289291291291291290290292293291292292292293293293292293293292293293291291290292288287999999999999999999999999999999999295294295294295294294295294294293294293294297296296296297297297295296297297298295296296296296297297297297298299299299298297298298298297298298298298298298297299299300299299300299299300300301300300300300298301300299299298300300299299299299299299299301300299300300301301301301301301300300301301301301301301301301299301301301302301301304304303303302304303303303302303304304304305305303303305305306307307305304307305305305306305303301301304306304305304304304303304302302303303303303303301302303302302302302301301300300299300300299299300299298298300298300300302301299302300302303301301302301302304304304306306305305303304304303303303304303304304303302302302301301301302301302304303303302303303303303302301299298297297296296298297298297297298298297298297297299298297296296297296297296296296296296296296297296295296296295295296296296296295296295296296296295295295295295295295294294294294294295294295294294294294294294294294294294293294293293293293293293293293292292292292291291291292292292292292293293293293293293292293292293293293292293293293293293293293293292293292291291291290290289289289290290290290290290290290290290290290290290290290289289289289289288288288288288289289289289290290290290290290290290289289290289289289289289288289289289289288289289289289289289289288288288287288288288288288288287287288288288288288288289288288288288288288288288289288287288287287287287287287287286286287287286287286286287286286286286286286286286286285285285285285285285285285286286286285285285285285285285284284284284284284284284284284283283283283283283283283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293999999999296296295293295296295296295293293298295295294294294293293294294294294295296295295295296297297298299298299300299300300301303302302300302301301300300301300302304302999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289289290291291291290292291291290291292291291290289290291293292293293999999999999295293293293294999999999999296296296296295296999294294294294294293294294296296294292999999999999999999999999999999999999999289289290291292291291291290291292292291291292292292293293294294293293294292292292290290291288288999999999290288999999999999999999294296296295295295295294293293294294294295295295296295295295294295297296297295296296296297296297298298298298299298298298298298297297298297298298298298299299298298298300298300299299300301300300300298298299299299298298298298298298299298299300300300300300300299300300301301301301300301301301301301299301301300300299300301301302302302303302301304302303303303303303303305304304304304306306304304304303306305305305304303303303303302302304304304304303302303302303304303302303302303303302302303302303302302302301300300299299299299297300299299299300299300300300302302301301301301302302302302302303305305304303303305304304303303303303302303303303302302301302301301300301301302302302301302301302302301301301300298298297297297297297297297297297297297298298297297297297297297297297296296296298295296297297297296295295296296295295295295296296295295296296296295295296295295295295295294294294294294294294294294294294294294294294294294293293293293293293293293293292292292292292292291292292292292292292293293293292292292292292292292292293293292292293293293293293292292292291291291290290290290289289289290289290290290290290290289289290290290289289289289289288288288288288288288288288289289289289290290290289289289289289289289289289289289288289289289289289289289290289289289289289288288288288288288288288288288288288288288288288289289288288288288288288288288288288288287287289287287287287287286286287287287286287287287286286286286286286286286286286286286285285285285286286286286286286285286285285285285285285285285284284284284284284284284283283283283283283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294294999999999999999293295294295295295297295296295294295295295296295294293293295294295295296296295295295297300300299299299299299300301300302303303303303303301300299300301301305307999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289289289290290291291292293291291291291292291290290290290292293292293291999999999999297296293294295295298298297297297297297297295295295295296296295294295296296297295294293999999999999999999999999293291290289290291291292291291292292289289290291291292293293292293294295293294294294293290291291291290290288290999999290291291292292293999999294296296295295294294294293293293292294294294295295294295294295294296294295296296295295296297299297299298297297297296297298298297297298297298298297297297299299299298300299300299299299299299300299299299299299298298298298298299298299299299299300299300300300300300301302302302301300301301301301300300302300301301301301301301302302302302302302302303303303304303303304305304303304305304306305304305304305305305305305304306304303302301302305303303302303302303304305303304304303303303303303303304303304302301302301300300299299299299299299301300301300301302299302301301302301300301302301302302303304304305302304304305304304304303303303303303302302302302301300300300300302302301300301301301300301300301301298298298297297297297297297297297297297297298298297297297297297297297296297296297297296297298297296294295295297296295295295297296296296295296297296295295296296295295295295293293294294294294294294294294294294294294294294295294294294293293293293293292292292292292292292292292292292292292292292292293293292292292292292292292292292292292292292293292292292291291290291291290290290290290289289289290289290290290290290290289289290289289289289289289289289288288288288288288288288288288289289289289289289289289289289289289289289289289289289289289289289290290289290289289288289288288288288289289289289289288288288288289289288288288288288288288288288288288288288288286288287287287287287286286286287287287287286286286286287287287286286286286286286286285286286286286286287286286286286286286286285285285285285285285284284284284284284284284284283283283283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292295295295294296297296295296294293295294294294293292295293296295296296296295296297299298298298300300300302301302302302301302302303302302301300302302302303305309999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289290290291291291292292291292291292292292291292292291292291293293293290999999999296297296297298299298300300298300299299298298297297297297297296295296296296295296295295296296294296296293293292293293292291290290290292291292290290290291289291289289290293293293293294294294294292294293292292291292291291291290999999292293293293293293294294294293296295294294294294293293295293293294295293293293294294295296295294296295296295296296298297297297296296297297297297297297297297298298297298297298297298299299300300299298299299300298299298298299297298298297298298298298297298298299298298299299300300300301301301301302301301301301302301302301300301301301300301301301302302303303303302303303302304303303303302305305304304305304306307305305304304304305305306306305306305304304304304303303304303302303303303302304304303302302303302303304302303303303302302301300300300299299298299301301300302300300301299299299301302301300299299301302302302302303304303304303304304303304304303303304304304303302302302302299300300302301300301301301301301299299301301297298297297296296297296297297297297297298298298297298297298296297296296296296297298298297296296294294295296295296296295296296297296296296297297297296296296296295294295294294293294294294294294294294294294294294294294294294293293293294293293292293292292292292292292292292292292292292292292292293293292292292292292292291291292292291291291292292291291291291291290290290289289289289289289289289289290289290289290290290290289289289289289289289289289289289288288288288288288289289288289288288289289289289289289289289289289289289289289289290289289289290290290290290289289289289289288288289289289289288288288288289288288288288288288287287287288288288287288287287288287288287287287287286286287286286287287286287286286286287287286286286286286285286286286286286287286287286286286286286286285285286286285285285285285284284284284284284284284284283283283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294293294293293296296293295295295293294294292292293293294294294294297296295295297298297296297298299298301300301298303303303303302304303302301302303303305305302999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292290291291291291291292292291292292293293293293292291292293293292294999999999298297298298299299300300301303301300299300299299299298299299298298298297297297297298297295298301298299297295293292292291291289290290289290290290289290289289289290288288290292292291291293294292292291293293291292291291291292291290999999291293293293292292293292292293292294294294294293293293294294292292294293293293294294295295294296296294295294295295298298298298297296298298296296296297297297298297298298297297298298298298299300299298299299298298298298297297296296298298298298297298297298298299298299298299300300300301301302301302302302302302301302301301301301301300301302301302302302302302302302303305303304302302302303303304304304303303305307305304304304304304305305305305306304303305303303302302302302301302302302302302301301302303304302303304302302304304301302301300300300300300298299301301300302302300299300300301300302303302302301301301301302302305303303303303304304304303303303303304303303302303303302302300300300301302301301302301301301300300299299298297297297297297297296296297298297298298298298299299298297297297297296297296296298297296296295294294295295296296296296296296296298297297298297298297297298297296294295295294294294294294294294294294294294294294293293293293293293293293293293293293293292292292292292292292293293293292292292292293292292292292292292292292292291291291291291291291291290291291290290289289289289289288289288288289289289289289289289290290290290289289289289289289289289289289289289288288288289289289289289289289289289289289289290289290289289289289290290290290290290290290290290290290289289290289289289289289289289289288288288288289288288287288287287287286287287287287286285286287288288287287287286287287286286287286287287287287287287287287286286286286286286286286286286287287287287287286286287286286286286286286286285285285285285284284284284284284284284284283284284283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292295295294294294298295295292296294294294295294294295294294295296296298295296298298298296298298297300301302300301303303302302303303303303302302303304307307310301999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292291291291291291290292293292292293294293293293293292290293292290293292999999297296298300300299301300299301302302300300299299299299299300300299299300300301300301300299301303300300299296294294292291289289291289290289289289289290290290288288289289292290290291291292291290291292293293292291289290291290290289999999292295295295294293291292292293292293294293294294294294294294291291292292294293295294292291293295296295295295295295298299299297295296298299299298297297297299297296297298296296297297298298298300298298298298298297297298298297297296297297297298298298298298299299299298299299300301301301302302301302302302302302302301301302302301301302301301302302301303303303302302303304303305303304305303304303303304304303303303304305305304305304305306305305305305304304303301302301302302302301302303302302301301302302302304304303304303302302303303302302302302301300299300301299300302302299300301301301302302302303304302302302303305303304303304303303303305303303303304303303304303303304303302301301300301300301302301302302301300299300299298298297297297297297297296297297297298298299298298298299299299298298298297298297297296295296296296295295295295296296296296297298297298298298298298298298298298298296296296295294294294294294294294294294294294294294294293293293293293293293293293293293293293293293292293292293293293292292292292293293292292292293293293292291291291291291291291290289290290291290290290289289289289289288288288288288289289289289289289290290290290290290290290290290290290290290289289289289289289289289289289289289289289289289289289290290290290290290290290290290290290290290290290290290290290290290290290290290289290290289289288289289288287287287287287286286286287287288287288288288288288288287287287286286287287287287286287287287287287287287286286286286286286286286286286287287287286287287287287287287287287286286286286286285285285285285285285284284284284284284284284283