2023 9 23 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 74 77 79 79 81 80 80 80 80 81 84 86 88 88 87 86 86 84 83 80 76 74 72 73 73 73 72 69 68 68 69 69 71 72 73 74 74 74 74 74 72 69 69 67 65 63 61 59 58 57 59 60 63 66 68 69 70 72 73 73 74 75 76 76 78 79 81 84 85999999999999999999999999999999999999999999999999999999999999999999999 97 95 94 92 91 90 90 89 89 90 89999999999 91 91 92 91 90 90 91 92 92 91 91999999999 88 87 86 84 83 83 82 82 81 81 81 82 82 81 80 81 81 83 85 87 87 87 86 86 86 84 83 82 81 78 76 74 74 74 71 71 72999 74 75 76 76 77 81 84 85 87 89 90 91 92 91 91 89 89 88 88 88 88 87 87 88 88 88 89 89 90 89 89 89 90 90 90 90 90 90 90 90 90 90 90 90 90 90 90 90 90 89 88 88 88 88 88 88 89 89 90 90 90 91 91 91 91 91 91 91 91 91 92 93 93 92 92 93 93 93 92 92 91 91 91 90 90 90 90 90 90 89 89 89 89 90 90 91 90 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 63 67 72 75 78 80 79 80 81 80 80 80 81 83 86 87 87 87 86 85 82 80 78 75 69 67 66 66 66 64 63 67 66 67 70 72 74 75 75 75 74 73 74 73 71 69 68 69 67 66 63 63 61 61 62 69 72 70 74 76 77 77 78 78 77 76 78 80 81 83 85999999999999999999999999999999999999999999999999999999999999999999100 98 96 96 94 93 93 92 91 91 91 90 89999999 91 91 91 90 90 90 89 90 90 90 88999999 87 86 86 85 84 83 82 82 82 81 81 82 82 83 82 82 82 82 82 83 87 88 89 89 89 90 90 89 87 86 85 84 82 79 77 75 74 73 73 73 73 75 75 76 79 82 85 87 88 89 91 92 91 90 89 88 87 87 87 86 86 86 87 87 88 89 89 89 89 89 90 90 90 90 91 92 92 91 91 90 91 90 90 89 90 90 90 89 89 89 88 88 88 88 88 88 89 89 89 89 90 90 91 91 91 90 90 90 91 92 93 93 93 93 92 93 92 92 91 91 91 90 89 89 89 89 89 88 88 88 88 87 87 87 87 88 88 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 89 88999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 65 68 72 75 78 80 80 80 81 81 81 80 82 83 84 85 86 85 84 83 80 79 76 73 65 64 64 62 62 62 61 62 67 68 72 74 75 75 75 75 73 73 74 72 72 71 71 70 71 68 67 66 64 69 70 73 74 75 76 79 81 82 83 82 80 79 80 82 83999999999999999999999999999999999999999999999999999999999999999999101101 99 98 97 96 95 97 94 93 93 91 90 90 90 90 90 89 88 88 87 88 89 89 88 88 87 86 85 85 85 84 83 83 82 81 81 82 82 82 81 82 83 83 83 84 84 84 85 87 89 90 90 89 89 90 90 90 90 90 89 88 87 85 84 81 79 78 77 77 76 77 78 80 82 85 87 89 90 91 91 90 89 88 87 87 86 85 85 84 84 84 86 87 88 88 89 89 89 90 89 90 89 90 90 91 92 92 92 91 91 90 89 89 89 90 90 89 89 89 88 88 88 88 88 89 89 90 90 90 91 91 91 91 91 90 90 90 92 92 92 93 93 93 93 93 92 92 91 91 90 89 90 89 88 87 87 86 87 87 86 86 85 85 85 85 86 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 75 82 81 82 82 82 80 78 77 72 76 72999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 69 73 76 79 82 84 84 85 85 85 84 82 83 84 85 85 86 85 84 83 80 78 71 66 64 64 62 62 60 58 61 61 65 66 67 68 70 72 73 74 74 74 74 73 73 73 73 73 70 67 66 68 68 73 77 78 78 80 81 83 85 87 88 85 82 81 83999999999999999999999999999999999999999999999999999999999999999999999999999102101 99 98 97 97 95 94 92 91 91 90 90 90 90 89 88 87 85 84 84 85 86 86 86 86 85 84 83 82 81 81 81 81 80 81 82 82 83 84 84 84 84 86 87 88 88 89 89 89 89 89 89 89 89 90 90 92 93 93 93 92 91 89 88 84 82 80 79 79 80 82 84 86 88 90 91 92 91 91 89 88 87 86 86 86 85 85 84 84 84 85 87 88 88 88 89 89 89 89 90 90 90 91 91 92 92 92 92 91 90 90 89 90 90 90 90 90 91 91 91 91 91 91 91 92 92 92 92 92 92 92 92 91 90 90 91 92 92 93 93 93 93 93 93 93 94 92 91 90 90 89 89 89 88 87 87 86 86 86 85 83 83 84 84 84 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 77 81 81 77 76 75 74 75 75 73 74 73 74 73 75999999999 78 78 78 79 80 81999999999999999999999999999999999999999999999999999999999999999999999999999999 74 73 77 80 83 86 88 88 89 91 92 90 87 85 84 85 86 86 86 85 82 78 74 67 64 62 63 62 61 62 58 63 64 64 64 64 66 68 69 71 73 74 75 74 73 73 73 73 71 68 67 69 71 75 79 82 84 84 85 86 88 89 90 89 87999999999999999999999999999999999999999999999999999999999999999999999999999999105104103100 99 96 96 95 93 92 92 91 92 91 90 89 89 88 87 84 84 84 82 82 82 83 83 83 83 82 81 81 80 80 81 82 83 83 84 83 84 85 85 86 87 88 89 89 89 89 90 90 90 91 91 91 90 90 90 91 93 94 94 94 93 92 90 88 85 84 83 83 84 85 87 88 90 91 92 92 92 91 89 87 87 86 86 85 84 84 84 83 84 85 88 88 88 88 89 89 89 90 90 90 92 92 93 93 92 92 91 91 90 90 90 90 91 91 91 91 91 91 92 92 91 91 91 91 91 91 91 91 92 92 92 91 91 91 92 93 93 93 93 93 93 93 93 93 93 93 92 92 91 91 90 89 87 87 87 87 86 85 85 85 85 85 84 85 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 81 81999999999999999999999999999999999999999999999999999999999999999 81 80 82 80 81 81 78 74 71 69 70 71 72 72 71 70 71 70 72 72 73 74 76 76 77 77 79 80 81 81999999999999999999999999999999999999999999999999999999999999999999999999 81 80 81999999999999999999 94 95 94 91 88 84 84 84 84 82 80 78 73 68 65 62 63 65 64 63 63 61 64 64 65 64 64 67 69 67 68 70 72 74 73 73 74 73 71 69 66 70 73 78 80 83 86 88 88 90 89 90 91 89 90999999999999999999999999999999999999999999999999999999999999999999999999999999999102104103100 97 95 95 94 93 92 92 92 92 91 90 89 88 88 87 86 84 84 83 83 83 83 83 82 82 81 81 81 81 81 82 84 87 86 86 87 88 88 89 90 90 90 91 92 92 93 92 92 93 93 93 92 91 91 91 92 91 92 92 93 91 90 89 89 88 86 85 85 86 87 88 89 91 91 92 92 92 91 90 88 87 86 86 86 85 84 84 85 85 87 88 89 89 89 89 89 89 90 92 92 93 94 93 93 92 91 91 90 90 89 89 89 89 90 91 91 91 91 91 91 90 90 89 89 89 90 89 89 90 90 91 91 91 91 92 93 93 93 93 93 93 93 93 92 93 93 93 93 93 92 91 90 90 90 90 89 89 89 89 89 88 88 87 87 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 83999999999 81 81 79 79 77 76 76 75 76 76 74 72 72 74 75 75 76 77 78 77 77 77 77999999999999 79 79 78 78 75 75 75 73999999999999999999999 71 72 70 69 68 75999999999 81 82 79 79 78 75 71 68 69 69 69 69 69 68 67 67 68 68 68 68 67 69 72 75 76 78 78 79 79 80999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 98 93 92 85 84 82 83 83 81 77 71 68 66 63 59 61 68 69 66 64 63 64 64 65 64 64 65 67 67 67 69 70 68 67 67 67 67 68 67 67 70 77 80 81 85 89 90 91 92 89 94 93 92999999999999999999999999999999999999999999999999999999999999999999999999999999999999999102102101 97 96 95 94 95 99100 98 98100 92 89 88 87 87 87 85 85 85 84 85 85 84 84 83 83 82 80 81 82 84 86 88 89 89 90 90 90 91 92 92 93 93 94 94 94 93 93 93 93 92 91 91 91 90 91 91 90 90 90 90 88 87 88 88 87 86 87 87 88 88 89 91 91 92 92 91 91 90 89 88 87 87 87 87 87 86 87 88 89 89 89 89 90 90 91 91 93 93 93 93 93 93 93 92 91 90 90 89 89 88 89 89 89 90 90 90 90 90 90 90 89 88 88 88 88 89 89 89 89 90 91 91 91 91 93 93 93 93 93 93 93 93 93 92 92 92 93 93 93 93 92 92 92 92 92 92 92 92 92 92 92 91 91 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 84 84 83 83 82 82 83 84 83 81 81 80 79 78 76 76 76 76 75 75 74 73 74 76 77 76 76 77 76 76 77 73999999999999 77 74 73 72 71 70 70 71 72 77 71 71 70 70 68 69 69 69 68 69 70 71999 73 75 76 78 77 75 71 67 67 67 67 68 67 69 68 68 66 66 68 69 65 62 64 65 68 70 72 76 78 79 78 81 80 79 77 78999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 93 91 81 75 77 81 80 78 74 72 65 63 62 61 64 69 71 70 67 65 65 63 64 64 64 66 66 66 66 65 65 65 65 66 66 66 67 68 71 75 84 84 86 90 90 91 92 93 93999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999103103103103102 99 96 96 96 97 99106 98101 99 97 88 88 87 87 86 86 86 88 89 88 88 87 85 83 83 83 82 83 84 86 88 88 89 89 89 91 91 92 93 93 93 95 95 95 94 93 93 93 92 91 91 90 89 88 88 87 88 87 87 87 86 87 88 88 86 85 86 87 88 88 89 90 91 91 91 91 91 90 89 88 88 88 87 87 87 88 89 88 88 89 90 91 92 93 94 94 94 94 93 93 93 93 93 93 92 90 90 89 89 88 89 90 90 90 90 90 91 91 90 88 88 88 87 88 88 89 89 89 90 91 90 90 91 91 93 93 94 93 93 93 93 93 93 92 92 93 92 92 92 93 93 93 93 92 93 93 93 93 93 93 93 93 93 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 88 88 87 87 87 85 84 84 83 82 83 82 81 80 80 79 78 78 78 77 77 76 76 76 75 75 75 75 74 74 76 74 73 74 74 72 71 74 73 73 72 70 67 66 66 66 67 68 68 69 68 68 66 66 66 65 65 65 66 66 68 70 72 73 73 74 74 71 70 68 67 67 68 68 68 68 69 69 68 66 65 66 65 64 58 59 62 63 62 66 70 72 74 75 75 76 76 75999999999999999999999999999999999999 69 71 70 69 69999999999999999 66 64 63 64 66 68 72 76 78 83 85 79 73 75 75 74 70 67 63 61 57 56 60 63 70 69 68 66 64 65 63 64 65 65 65 64 64 65 65 66 67 67 67 67 71 76 80 80 83 86 89 92 93 93 95 93999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999103103102102102102101100 98100101102103103999999 92 88 85 86 87 88 90 90 89 89 88 88 87 86 83 83 84 85 85 87 88 88 89 89 89 90 90 91 92 93 94 95 95 96 96 95 94 92 91 90 89 88 88 87 86 85 85 85 85 85 85 85 85 87 87 85 85 85 87 88 88 89 90 90 90 92 91 92 91 91 90 89 89 89 89 89 89 89 89 89 90 92 94 95 95 96 95 95 94 93 92 93 93 93 93 92 91 90 89 88 89 89 91 91 92 91 92 92 91 90 89 88 87 88 88 89 89 89 90 90 90 90 91 91 92 93 94 94 94 94 93 93 93 93 92 92 92 92 92 92 92 92 92 93 93 93 93 93 94 94 94 95 95 95 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 88 88 88 87 86 87 86 85 83 83 82 81 80 78 77 77 76 75 74 75 75 75 76 75 75 74 73 72 71 70 69 69 69 69 69 70 69 68 68 68 69 69 67 64 63 63 62 63 63 63 63 64 64 63 62 61 61 62 62 62 62 62 63 65 67 68 67 67 66 65 64 62 61 60 60 62 61 61 61 60 59 58 59 61 63 56 56 58 58 59 60999999999999999999999999999999999999999999999999999999 69 68 66 67 68 68 66 65 63 60 59 60 59 60 60 60 61 63 64 68 76 78 81 74 69 70 64 61 62 61 58 57 54 54 51 58 63 66 68 68 66 67 68 67 65 66 64 64 65 66 66 65 66 68 69 69 71 75 81 85 86 86 90 94 95 95 96 97999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999101100104103101100 99100100101103104999999999999999999 88 87 88 91 91 91 90 90 88 87 86 85 85 84 85 85 85 86 87 89 89 89 89 90 91 92 93 94 95 96 97 97 97 96 95 93 92 91 90 89 87 86 85 84 83 82 82 83 84 85 85 87 87 87 86 86 86 87 88 88 89 90 90 90 91 91 92 92 92 91 90 90 90 90 90 90 90 92 92 93 95 96 96 96 96 96 95 93 93 93 93 94 93 93 92 91 90 89 89 90 91 91 92 92 92 92 92 91 91 90 90 89 88 88 89 90 90 90 90 90 90 91 91 92 93 94 94 94 94 94 93 93 92 93 92 92 92 92 93 92 92 92 92 92 93 93 94 94 94 94 94 95 95 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 87 87 88 88 86 86 85 84 83 82 82 81 79 77 75 74 74 74 72 71 70 71 72 73 73 71 70 69 67 66 66 66 65 64 63 63 65 65 64 65 65 63 62 62 62 61 61 61 61 61 62 62 63 63 63 63 63 63 63 62 62 60 59 59 58 58 59 60 59 59 59 58 57 57 57 57 56 55 55 55 55 54 55 55 54 54 55 56 57 59 60 60 61 58999999999999999999999999 65 67 66 66 66999999999 69 69 69 67 65 66 67 64 61 59 58 59 59 57 58 59 59 60 63 66 66 66 66 67 56 59 66 67 43 45 55 51 53 53 54 59 65 68 68 69 70 71 72 71 71 68 68 68 68 68 67 67 68 69 69 71 75 79 83 87 88 90 93 96 96 96 96 97 97999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999101102103102101100101102104105999999999999999999999999 90 91 92 93 92 90 89 88 90 88 86 85 83 84 86 86 87 87 88 88 88 88 89 89 91 92 93 94 96 97 98 99 99 97 95 95 95 92 90 88 86 85 84 84 84 84 83 84 86 85 86 86 86 87 87 87 87 87 88 88 90 90 91 90 91 91 92 92 92 91 91 91 91 92 92 92 94 95 94 95 95 95 95 95 94 94 94 93 93 93 94 93 93 92 91 90 90 90 90 90 92 92 92 93 92 93 93 92 92 91 91 90 90 90 90 90 90 90 91 91 91 92 93 93 94 95 94 94 94 93 93 93 93 93 92 92 92 92 93 93 93 93 92 92 92 92 92 93 93 94 94 95 95 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 86 86 86 85 83 81 79 78 78 77 77 75 73 71 71 70 68 68 67 67 66 67 67 67 65 65 65 65 64 63 62 62 63 62 62 62 63 63 64 64 64 62 60 61 61 61 61 61 62 62 62 63 63 64 64 65 64 63 63 62 61 61 59 56 56 55 55 54 54 56 56 56 56 55 55 54 54 54 53 52 52 53 53 53 52 53 53 53 54 57 59 60 61 61 59 60 61999 66 67 69 65 66 66 67 68 67 67 66 66 68 66 65 64 63 63 62 59 58 55 56 58 60 58 60 57 58 60 59 61 60 57 54 50 52 56 50 54 54 53 54 53 54 55 53 62 66 66 67 71 72 73 73 74 72 71 68 69 69 68 69 68 68 69 70 74 81 86 89 91 95 94 95 97 99 99 97 97999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999102103102102102102101100102103104999999999999999999 91 90 91 92 93 92 92 93 92 89 87 87 87 86 87 84 84 86 87 88 89 89 88 88 88 89 90 90 91 93 95 97 97 98 99 98 98 97 96 95 94 91 89 88 86 85 84 85 85 85 85 86 86 86 86 87 86 86 87 87 87 87 88 89 90 90 90 91 91 91 91 92 91 91 92 92 92 92 93 94 95 95 94 94 94 94 93 93 92 92 93 94 94 93 93 92 91 91 90 90 90 91 91 92 92 92 92 93 92 93 92 92 92 92 92 92 92 92 92 92 92 92 92 93 93 93 94 95 95 94 94 94 93 93 93 93 93 91 91 91 91 92 93 93 93 93 92 92 91 91 92 93 93 94 95 96 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 85 85 85 84 83 81 79 77 74 73 73 73 71 71 70 68 68 67 64 64 64 63 63 63 62 63 62 62 63 64 65 63 62 60 61 61 61 61 61 61 61 60 62 63 64 64 63 63 63 62 61 61 61 61 63 63 64 65 65 65 64 63 61 61 59 57 55 54 55 55 55 56 56 57 58 58 58 56 55 54 54 54 54 54 52 52 52 52 52 53 53 54 55 57 59 60 61 62 63 63 64 64 64 64 64 65 65 64 62 63 64 64 64 64 63 63 63 62 57 55 54 55 58 59 62 62 61 60 61 57 60 61 61 57 55 62 64 62 64 69 66 65 64 61 63 63 67 70 75 77 77 76 77 76 75 74 72 69 68 69 69 69 69 68 69 71 75 83 88 92 94 96 99100101101100 98 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999102102102101101100100100 99101100100999999999 92 91 91 90 90 91 93 93 93 94 94 93 93 92 92 90 89 89 88 87 87 88 89 89 90 89 89 89 89 89 89 89 89 91 93 95 97 97 98 98 97 97 96 96 96 94 91 89 88 86 86 86 86 86 87 87 88 88 87 87 88 87 87 86 85 86 87 88 89 89 90 91 91 91 91 93 93 91 91 92 91 92 92 93 93 93 93 94 93 93 93 92 92 93 93 93 93 93 93 92 92 91 91 90 90 91 92 92 92 93 93 93 93 92 92 92 92 92 93 93 93 94 94 94 93 93 94 95 95 95 95 95 94 95 94 93 93 92 93 93 93 92 91 91 91 92 92 93 94 94 94 92 91 92 92 93 93 94 95 95 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 85 84 84 82 79 78 77 74 72 70 69 69 68 68 67 67 66 65 64 63 62 62 61 61 61 61 60 60 61 61 64 64 64 62 62 61 60 61 61 61 62 63 63 64 66 68 66 67 68 66 65 64 63 64 63 64 63 63 63 64 65 65 65 63 65 64 62 59 57 57 56 55 53 53 55 58 59 61 61 60 58 55 55 55 56 54 53 53 53 53 53 53 53 53 54 56 57 59 61 62 62 60 59 60 60 60 60 60 58 59 61 60 60 60 61 60 58 57 56 54 52 49 47 48 50 56 57 55 56 55 54 56 66 54 60 64 66 63 63 65 69 68 66 66 67 68 72 75 76 82 81 80 76 77 74 72 71 70 69 69 66 68 69 70 73 77 80 87 92 94 94 96100102102102 99 99103999999999999999999999999999999999999999999999999999999999999999999999999999999999999999103103103101 99 97 97 98100101100 97100999 93 91 92 91 92 92 93 93 94 94 96 96 95 95 95 95 92 92 90 90 91 90 88 89 91 91 92 91 90 89 89 90 90 90 90 90 91 92 94 95 96 97 97 96 95 95 95 96 94 91 90 90 90 89 90 91 92 92 91 91 91 90 90 90 89 88 87 87 87 87 88 89 89 90 91 92 92 93 93 93 92 92 92 92 92 92 92 92 92 92 92 92 91 90 92 92 93 93 93 92 92 92 91 91 91 91 91 91 92 92 93 93 92 92 92 92 92 92 92 92 93 92 93 93 94 94 94 95 95 95 95 96 95 94 95 94 94 94 93 93 93 93 93 92 92 91 91 91 92 94 94 95 95 93 92 92 92 93 93 94 95 96 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 87 86 84 81 79 77 75 73 72 70 68 66 66 65 65 64 64 64 64 62 61 61 60 59 59 58 59 60 60 60 61 61 63 64 63 63 64 66 66 66 65 65 65 65 65 66 66 67 68 69 69 69 67 66 65 64 62 64 63 65 65 65 66 66 67 67 69 66 66 63 61 59 57 57 56 56 59 60 61 62 64 64 61 57 55 55 55 55 55 54 54 54 54 54 54 53 53 55 54 55 55 57 56 56 56 58 57 56 55 56 56 56 57 58 57 58 57 56 54 53 51 49 49 48 47 47 48 48 47 53 54 51 55 60 64 63 64 67 66 67 67 67 67 66 64 69 73 76 78 80 83 83 82 83 80 77 73 70 71 71 71 71 73 77 79 84 90 92 95 97 97100100100102103103102 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999104104104105104102101100100 98102101 97 96 93 94 92 91 92 92 92 93 94 95 96 97 98 97 97 97 95 95 94 94 93 92 93 92 92 92 92 92 92 91 91 91 92 92 91 91 92 91 91 91 91 93 94 95 96 95 94 93 95 96 96 94 93 93 94 94 94 95 94 94 94 94 94 93 92 91 90 89 88 88 88 87 87 87 88 89 91 92 92 93 92 92 92 92 92 92 92 92 91 92 92 92 91 91 91 91 91 93 93 92 93 93 93 92 92 91 92 91 92 92 92 93 93 92 92 92 92 93 92 92 92 92 93 93 93 93 94 93 93 94 93 93 93 94 93 93 93 93 94 94 94 93 93 93 93 92 92 92 92 92 92 93 94 95 95 94 94 93 94 94 94 95 95 97 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 84 84 85 86 84 82 79 74 72 71 71 70 68 66 65 65 65 64 64 62 62 61 60 59 59 59 59 58 57 56 56 55 55 55 57 58 62 64 65 65 66 66 66 66 65 65 65 65 63 62 61 63 64 66 67 70 68 69 67 65 63 63 64 65 66 66 66 66 65 65 65 64 65 63 61 62 65 65 63 61 62 64 67 68 70 70 67 61 56 56 56 55 55 55 56 55 56 56 55 55 56 56 55 54 53 53 53 53 55 54 54 55 56 56 57 58 59 58 56 55 55 54 52 50 49 47 48 50 51 53 56 59 60 61 63 61 61 67 69 69 70 75 75 74 75 74 72 71 73 76 79 80 81 83 85 86 87 87 85 82 80 80 76 73 74 76 83 87 92 95 98100102103101101101 99 99100 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999105105104104103102101100 99101101 97 92 94 94 94 93 91 92 92 93 94 95 97 98 99100 99 99 98 98 97 96 95 94 93 92 92 91 91 92 91 91 92 92 92 93 93 93 93 93 93 92 93 91 91 92 93 93 93 94 94 96 97 98 96 96 96 95 96 96 96 96 96 95 95 95 94 93 92 90 89 90 89 89 88 87 87 86 88 89 90 90 92 92 92 92 92 92 93 93 92 92 92 92 91 90 92 91 92 93 93 93 94 94 94 94 94 94 94 94 94 94 94 94 94 94 94 92 93 93 93 94 93 93 93 93 94 94 94 94 93 94 94 94 93 93 94 94 94 93 94 94 94 93 93 93 92 92 92 92 92 93 92 92 92 93 94 95 95 95 96 95 95 95 96 96 97 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 85 86 86 85 85 81 76 72 70 69 69 67 67 66 66 66 66 66 64 63 62 61 60 60 59 58 57 57 57 57 57 54 54 53 53 53 54 58 58 58 59 59 60 59 57 56 56 59 62 57 56 57 59 63 65 67 70 71 70 68 66 65 64 66 65 65 67 66 67 66 65 65 65 64 62 62 62 65 65 65 66 69 72 73 75 77 77 74 68 61 59 58 56 57 57 59 60 61 61 61 61 59 59 58 58 58 58 58 58 58 59 59 58 58 58 58 56 57 58 57 56 55 54 52 52 50 50 51 52 54 58 62 63 66 67 67 65 64 67 71 73 75 75 76 77 75 75 74 76 78 81 81 82 82 85 85 88 90 92 92 90 92 90 87 84 81 89 91 94 96100102103104103102102101 98 96 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999105106106105104103101100 99 98 98 98 95 93 93 94 94 93 92 91 93 94 95 96 98 99 99 99 99100 99 98 98 97 96 95 94 93 92 92 91 91 91 91 91 91 91 91 91 91 91 92 93 94 93 92 91 94 93 93 94 93 94 97 98 98 98 99 98 98 97 97 97 97 96 94 93 93 93 92 91 91 90 90 90 90 89 88 88 88 88 87 88 90 92 92 91 92 91 92 93 93 93 93 93 93 92 93 93 94 93 92 93 93 94 94 95 95 95 95 95 95 95 96 96 96 96 95 95 94 94 94 94 94 94 94 94 94 94 94 94 94 94 94 95 95 95 95 95 94 94 93 93 93 93 93 93 92 92 92 91 92 93 93 93 93 93 93 93 94 94 95 95 95 95 96 96 97 97 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 83 85 85 85 84 81 78 75 71 69 69 69 69 68 67 67 67 67 66 64 61 61 59 58 57 57 56 55 54 53 53 54 55 54 55 54 54 55 52 53 53 53 52 52 54 53 54 53 53 54 53 49 50 59 64 64 67 68 71 71 71 70 68 67 66 66 67 69 68 68 67 66 67 66 66 66 64 63 63 63 65 64 67 72 72 75 77 81 80 79 73 67 64 60 58 60 60 60 62 63 64 63 62 60 59 58 58 60 62 65 67 67 66 64 62 63 62 59 56 56 57 57 57 57 56 55 55 55 55 56 58 58 60 63 66 68 69 67 67 67 68 69 72 75 75 75 76 76 78 80 82 84 84 84 82 79 82 84 87 92 94 96 98100100 99 97 97 97 98 98 99102104103103103103101 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999104105105105105104103102100100 99 98 97 97 96 94 94 94 93 92 92 94 95 96 97 99 99100 99 99 99 99 98 99 98 98 96 96 95 95 94 94 93 92 91 90 89 89 90 90 90 90 90 91 93 94 94 94 93 93 93 93 94 98 98 99 99 98 98 99 99 98 97 96 94 93 92 91 92 92 93 92 91 90 90 90 89 89 89 88 86 87 88 88 90 91 91 91 91 92 93 94 94 94 94 94 94 95 95 95 94 95 95 95 95 95 96 96 97 96 96 96 96 96 96 96 97 96 95 95 95 94 95 95 95 94 94 94 95 95 95 95 95 95 95 95 95 96 95 94 94 93 93 93 92 92 93 91 92 92 92 92 91 92 92 93 93 93 93 94 94 94 95 94 94 95 95 94 95 95 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 84 84 83 82 78 76 73 70 67 66 67 67 67 66 65 65 65 64 63 61 58 55 55 55 54 53 52 51 49 49 49 48 49 50 51 52 53 53 53 51 53 53 52 52 51 52 53 56 57 55 54 56 55 56 60 66 67 69 70 72 73 72 70 68 67 66 65 65 67 69 71 70 69 68 68 69 69 67 65 65 62 62 63 65 68 72 74 77 80 81 82 79 75 69 64 62 61 62 63 65 66 66 64 62 61 60 59 58 62 65 69 71 71 70 67 64 64 60 58 56 56 56 56 57 56 56 57 58 59 62 63 62 63 66 68 71 73 74 75 75 75 71 73 76 78 78 78 79 81 82 84 85 85 85 84 83 80 76 81 84 87 91 95 97 99101102102102102102103103104104104104101101999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999106107106105105104103103103102100 99 97 96 94 94 93 93 94 93 93 95 97 98 99 99100100 98 98 98 99 99 99100100 98 98 96 96 96 95 94 93 91 90 90 89 90 91 90 91 91 92 92 93 94 93 93 94 96 97 99 97 96 97 97 98 98 97 96 94 93 92 91 90 90 90 91 91 91 91 90 87 86 86 87 86 87 88 86 87 89 88 89 91 92 92 93 94 93 94 94 95 95 95 96 96 96 95 96 96 96 95 95 94 96 96 96 96 96 96 97 97 97 97 97 96 95 95 94 94 94 95 94 93 93 93 94 95 95 95 95 96 95 95 94 93 92 93 92 90 90 90 91 93 93 91 92 91 92 91 92 92 92 93 94 94 94 94 95 95 96 95 95 95 95 95 94 94 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 84 83 80 73 69 66 63 63 63 64 66 66 65 64 63 63 62 60 58 55 52 50 51 51 51 50 50 50 49 49 49 49 49 48 49 50 51 52 53 53 52 52 52 55 55 56 59 58 59 57 57 57 57 58 61 64 66 67 69 70 70 70 68 66 65 64 63 63 65 68 68 70 71 71 71 71 70 68 66 65 63 61 61 61 64 67 73 78 82 83 83 82 78 73 67 65 67 69 69 68 67 67 66 64 62 62 61 62 64 68 69 70 70 68 64 61 59 57 56 55 55 55 55 55 58 58 59 62 64 68 69 68 66 69 70 75 78 79 81 81 79 78 78 79 81 81 82 81 83 86 87 87 87 87 86 83 79 77 78 80 81 90 94 99 99104104105105103102103102103104104105999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999107109108107106105104104104104103101 98 96 93 93 93 93 92 93 93 96 97 98 99100 99 98 99 98 98 99 99 99100100 98 96 96 96 97 96 95 95 92 92 91 90 90 89 90 90 90 91 91 92 93 93 93 94 95 96 96 96 97 97 97 97 95 94 92 92 90 90 89 88 88 88 89 89 90 89 88 86 84 85 86 85 85 86 87 87 89 89 90 91 92 93 93 94 94 93 94 95 95 96 96 96 96 96 97 97 97 96 96 94 94 95 95 95 96 96 97 97 98 97 96 96 95 95 94 93 94 94 94 93 93 94 94 94 94 96 95 95 96 95 93 93 91 91 91 90 90 89 89 90 91 91 92 91 91 92 92 93 93 93 95 95 95 95 95 96 96 96 96 96 95 96 95 95 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 86 83 80 72 67 62 58 58 59 61 60 61 60 60 59 59 58 57 54 53 53 52 50 52 52 52 51 51 51 50 48 48 49 49 49 50 50 50 51 52 53 54 53 52 54 55 59 60 59 59 56 59 61 58 57 58 59 62 63 65 66 66 66 65 63 64 63 63 63 63 66 71 70 69 70 72 72 72 71 69 67 66 65 63 62 64 68 73 77 82 83 83 82 81 76 72 71 73 73 72 70 68 67 66 65 64 65 66 66 68 69 69 69 68 65 63 60 59 57 57 57 56 56 57 60 61 62 65 68 70 73 74 73 75 77 78 80 82 83 83 82 81 81 81 81 82 84 85 86 86 87 88 88 88 88 86 83 79 78 79 83 89 94 96 96 98 97102101106105999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999108107107107107106106106106106105103101 99 96 95 94 92 93 94 94 97 97 99 99100 98 98 99 98 98100 99 99 99100 99 97 99 98 98 96 94 96 96 96 95 94 93 94 91 92 93 93 94 95 96 96 96 97 97 97 97 97 97 96 95 95 93 90 90 90 91 90 90 88 88 89 89 90 90 89 89 88 86 86 85 84 85 86 87 89 89 90 90 90 91 92 93 93 94 94 95 95 96 96 97 97 96 96 96 96 96 96 96 95 95 95 95 96 96 97 96 97 98 97 96 96 95 94 93 93 93 94 94 94 94 94 94 95 95 94 94 94 95 93 92 91 90 88 88 88 88 87 88 89 90 92 92 92 92 93 92 93 96 95 95 96 95 95 96 96 96 96 96 96 96 95 95 95 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 84 80 74 66 60 56 56 56 56 57 57 56 55 53 53 53 53 53 54 54 54 53 52 52 53 53 54 55 55 52 50 49 49 49 50 51 51 52 53 54 55 57 57 56 56 57 60 60 60 59 58 58 60 60 59 60 59 58 58 59 61 64 63 61 60 61 63 63 65 67 72 75 75 74 73 73 74 73 73 72 70 69 66 64 63 65 68 72 76 78 81 85 84 81 80 79 76 74 73 71 70 69 69 67 67 66 66 68 69 70 70 69 66 65 68 66 63 63 62 59 57 57 58 61 64 66 68 72 75 77 77 78 80 78 80 81 82 84 85 86 85 85 84 82 83 84 84 86 88 89 89 90 90 88 89 85 83 81 80 84 89 97 99 98104103104106107106107999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999107106107107999999999999107107106105104101 98 96 94 94 94 97 96 97 98 98 97 97 97 98 98 97 98 97 98 97 99 99 99 98 98 95 96 95 95 95 96 96 96 96 95 95 95 96 96 97 97 97 97 97 97 97 96 95 96 96 95 95 93 90 91 92 92 92 92 91 91 90 92 93 93 92 92 89 88 87 87 86 87 86 86 88 89 89 90 89 90 90 91 92 93 93 94 96 96 96 96 96 96 96 96 96 95 95 96 96 97 95 95 95 96 97 97 97 97 97 97 97 96 94 93 93 93 94 94 94 94 95 96 95 95 95 94 94 92 93 92 92 90 89 88 88 87 87 87 87 88 89 90 92 92 92 93 94 94 95 95 96 96 96 96 96 96 96 96 96 96 96 96 96 95 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 89 86 87 84 80 73 65 58 56 55 54 54 54 54 53 52 52 52 51 51 52 54 55 54 53 52 52 53 53 55 56 56 56 53 50 48 49 49 50 51 52 54 55 56 55 55 57 59 60 60 61 62 62 60 56 57 58 59 59 60 62 60 62 62 59 58 59 59 60 60 63 68 69 70 73 77 79 77 76 76 75 74 74 73 72 71 69 67 66 67 68 71 74 79 83 86 85 84 82 80 77 74 73 72 72 72 72 70 67 67 68 68 68 68 68 67 67 69 71 72 72 69 66 63 60 60 61 63 67 71 73 75 78 79 81 84 86 86 86 85 86 88 87 87 86 87 88 87 88 88 88 89 90 90 90 90 90 88 87 86 84 83 83 89 96102101999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999111999999999999999999999104104102100 98 94 93 96 97 95 96 96 95 96 96 95 96 96 96 96 95 95 95 99 99 99 99 98 97 95 96 96 97 97 97 97 97 98 98 98 98 98 98 97 97 97 96 96 96 96 96 94 95 95 94 92 91 92 93 93 94 94 95 95 95 95 94 93 93 91 88 86 87 87 87 87 86 87 89 89 89 90 90 90 90 90 91 91 93 94 95 95 95 96 97 97 97 97 96 95 95 96 97 97 97 96 96 97 98 99 98 98 98 98 97 95 94 93 93 93 94 94 95 96 96 96 96 95 94 93 92 90 91 91 92 90 89 88 88 88 87 86 86 90 90 91 92 92 94 94 95 95 95 95 96 97 97 98 98 97 97 97 98 98 98 97 97 97 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 84 85 85 83 83 78 71 62 57 54 52 52 51 52 53 53 52 52 52 51 50 51 53 53 54 53 52 53 53 53 55 57 60 59 56 52 50 49 51 53 57 58 59 58 59 59 59 55 57 59 61 61 60 62 63 61 60 60 59 60 60 61 62 64 65 62 61 58 59 58 59 60 66 68 69 71 73 78 79 76 75 75 74 74 74 73 72 71 71 70 70 69 68 72 78 81 84 87 87 85 83 80 79 79 78 76 75 74 73 70 68 68 69 70 70 71 70 70 71 74 74 74 76 74 70 68 66 66 68 69 74 77 79 82 81 80 81 84 88 89 88 87 88 89 89 89 89 88 88 89 90 90 90 91 91 91 90 90 89 88 87 86 85 86 91 97100104104104999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999102102102 99 95 94 94 95 94 96 96 96 95 94 94 93 93 94 94 94 94 95 95 99 99 99 99 97 96 97 96 97 98 98 98 98 98 99 99 99 99 99 99 98 98 98 96 97 96 95 94 92 93 94 93 93 93 94 94 94 94 95 95 95 95 95 95 95 94 92 89 84 86 86 86 86 87 88 89 89 90 91 91 92 91 92 93 94 95 95 96 97 97 98 99 99 99 98 98 97 97 97 97 97 97 98 99 99 99 98 98 98 99 98 96 95 95 94 94 94 94 95 97 97 97 97 96 95 94 92 91 90 91 92 92 90 89 89 88 88 88 88 89 90 91 91 92 94 96 97 97 97 97 97 97 96 98 98 99 98 98 99 99 99 98 98 98 97 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 83 82 84 84 80 75 69 60 56 53 51 50 49 50 51 52 51 50 49 49 48 48 49 50 52 54 56 57 58 57 57 56 58 60 60 58 54 49 49 52 56 61 62 60 60 60 61 59 58 59 60 61 61 62 63 61 59 60 61 61 61 61 62 65 67 67 64 62 60 59 60 59 62 65 69 69 72 76 79 80 78 77 75 74 74 74 74 73 72 74 75 75 74 74 79 83 85 84 88 88 85 82 81 80 81 80 78 76 74 73 71 71 72 73 74 75 75 74 73 73 75 76 78 80 80 79 78 76 78 79 78 81 84 86 86 84 84 86 88 90 89 89 88 89 90 89 90 91 91 91 90 90 91 91 91 91 91 90 89 88 87 86 87 88 92 97101104105104100107999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999100101101100 96 95 94 93 94 94 94 95 95 95 94 95 94 95 94 94 94 95 96 97 99 98 99 99 97 98 99 99 98 98 98 98 99 99 99 99 99100 99 99100 99 98 96 96 95 95 94 92 93 93 93 94 95 95 95 95 96 96 96 95 95 96 95 95 94 93 90 84 84 86 86 88 88 89 90 91 92 92 93 93 94 95 96 97 97 98 98 99 99 99101100100100 99 98 98 98 98 99 99100101100 99 98 98 98 98 98 97 96 95 95 95 94 96 97 97 97 97 97 95 95 94 94 92 91 92 92 92 91 90 90 90 91 91 90 91 91 92 93 94 94 96 97 97 97 97 97 98 98 98 99 99 99100 99100 99 99 99 98 98 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 81 80 80 80 80 77 71 66 59 53 52 50 49 49 51 53 53 51 50 49 49 48 47 48 49 49 51 54 56 57 56 57 57 58 59 59 58 56 53 50 51 54 58 62 63 61 60 58 58 58 60 60 61 62 61 61 62 62 58 62 68 68 67 68 63 66 66 66 66 65 61 60 60 63 65 65 67 68 72 77 80 81 79 77 76 75 75 75 74 75 74 77 81 82 82 84 85 87 88 89 89 89 87 85 81 82 82 81 78 76 74 73 73 75 76 77 79 78 77 75 73 75 78 80 83 83 85 86 86 86 85 86 87 85 87 88 87 87 88 89 91 90 89 89 89 89 89 88 90 90 92 93 93 93 93 92 91 91 89 88 87 86 86 86 87 91 95100103105107104 99104999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999101102101101 99 96 94 94 95 94 95 95 95 95 96 95 95 95 95 96 96 95 94 94 94 97 96 97 97 97 97 98 99 99 98 98 98 99 98 99100100100100100101101100 99 97 95 96 97 94 92 93 94 95 96 96 96 96 96 97 97 97 96 96 96 95 94 94 93 89 87 88 88 90 91 91 92 93 94 94 96 96 97 97 98 98 99100100101101102102102102101101101100 99 99 99 99100100100 99 98 98 98 98 98 98 98 97 96 96 95 97 97 98 98 98 98 97 96 96 96 96 95 93 93 94 94 92 91 91 92 91 91 91 92 92 94 94 96 96 97 98 97 97 96 98 99 99 99 99 99100101101100 99 99100100 99 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 78 78 77 76 72 69 64 59 55 55 54 51 48 48 49 50 52 52 50 49 50 50 50 50 51 52 53 53 55 56 57 57 58 59 60 59 58 58 55 53 51 52 57 61 62 63 61 60 59 59 59 60 61 61 63 62 64 62 61 63 64 70 71 71 75 74 73 70 68 65 64 63 63 66 65 66 65 66 67 71 75 79 80 80 78 76 76 76 77 76 75 75 80 84 85 87 87 87 89 89 90 90 89 89 87 84 84 83 79 77 75 75 74 74 76 78 81 81 81 79 78 78 78 81 85 85 86 88 88 90 89 89 90 90 89 89 88 89 89 90 91 91 91 90 89 89 90 90 89 89 91 93 93 93 93 93 92 91 89 87 87 88 88 87 86 89 94 98101104106106100 95103999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999102102103102100 98 96 95 94 95 96 97 96 96 96 95 94 94 93 94 94 95 94 95 99 99 98 97 97 96 97 97 98 99 99 99100 99 99100 99100100101101101102102101101 99 96 96 98 97 94 94 95 96 97 98 98 97 98 98 98 98 97 97 97 95 95 95 94 92 89 90 92 93 95 95 96 97 97 98 98 98 99100101101100101101102102102103102102102102101101101100 98 99100100 99 99 99 99 98 99 99 99 98 98 97 97 97 98 98 98 98 99 98 98 98 97 96 95 95 94 93 94 94 94 93 91 91 92 92 92 93 94 95 96 97 97 98 98 98 99 98 98100100100100101101101101101101100100100 99 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 81 80 78 77 76 74 69 65 60 57 54 53 52 51 51 50 49 49 49 49 51 51 51 51 51 51 50 51 52 53 54 54 54 55 56 57 58 58 59 59 59 60 59 57 54 53 58 60 60 60 60 58 59 59 61 61 62 63 63 63 62 61 60 60 69 67 69 69 69 69 69 66 66 65 66 65 63 64 65 65 65 65 67 70 73 76 78 80 79 76 77 78 78 77 77 78 82 86 88 88 88 88 89 89 89 89 88 89 88 86 84 82 79 76 76 77 78 77 78 80 82 83 83 82 83 84 83 83 86 87 87 89 89 91 92 92 91 90 91 90 90 90 91 92 92 92 92 92 90 90 91 90 90 89 90 91 92 91 91 91 90 89 87 86 86 88 88 88 89 95 99101104105101100108107999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999106104104104101 99 98 97 95 95 95 95 96 95 95 96 95 94 93 91 93 96 99 97 97 99100 98 98 96 97 97 98 98 97 98 98 99101101103102100100100101102102103103102102101100 98 98 98 98 98 99 99 99 99100100100 99 99 97 97 97 96 96 96 95 95 95 93 95 96 97 98 99 99100101100101101101102101102102102102102102102101101101101101101101101100100101100 99 99100100100100100100 99 98 98 98 97 98 98 98 98 98 99 98 98 98 98 97 97 96 95 94 94 93 93 93 92 93 93 94 95 95 96 97 98 99 99 99 99 99 99 99101101101101102102102101101101101100100 99 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 80 79 78 77 75 71 65 60 56 53 51 49 49 49 49 50 50 51 52 53 54 54 54 53 51 50 49 50 51 53 54 54 54 54 56 57 58 58 59 59 60 61 62 62 59 56 59 60 62 61 60 59 59 58 59 60 61 62 62 63 62 61 60 58 59 62 66 72 70 68 67 67 66 67 66 66 65 64 64 64 64 67 68 69 71 75 77 77 79 80 79 79 79 78 79 80 79 82 86 88 89 90 89 88 87 87 87 87 87 87 86 84 82 80 78 77 78 78 79 80 83 84 86 85 86 87 88 87 87 88 90 91 91 93 93 93 92 91 90 91 91 91 91 92 93 93 93 92 92 90 90 91 92 90 89 89 89 88 88 88 87 86 86 85 85 86 87 88 88 93 98103104105106107 95107999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999103103102101 99 99 98 97 95 95 94 95 93 93 94 94 94 93 92 98 99100100101100 97 98 99 98 98 98 98 97 97 98 98101100102103103101101101101102101102103104103102101100 99100100100100100100100100100100 99 99 97 97 98 97 97 97 98 98 98 98 99100100100101101101102102102102103103103103102102102101102102101100101101101101101100101100100100100101101101101101101101101100 99 99 97 97 97 97 98 98 98 99 99 99 99 98 95 96 96 96 95 94 94 96 96 95 95 96 96 97 97 98 98 98 98 98 98 98 98 98 99 99101102102103103103102102102102101101 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 77 76 76 75 73 66 60 57 54 51 49 48 46 46 47 48 50 52 55 57 57 58 57 56 53 51 49 51 53 55 56 55 53 55 57 57 57 58 58 57 57 56 58 60 60 60 58 62 63 64 62 61 61 63 61 60 60 59 59 60 60 59 58 57 58 59 61 65 68 67 68 67 66 65 66 65 65 65 65 66 68 68 69 71 74 75 76 77 78 79 80 80 79 78 79 81 82 82 84 86 88 91 91 91 89 87 86 86 85 86 86 85 85 83 81 79 78 79 79 79 81 83 87 89 89 89 89 90 91 92 92 92 92 94 94 93 92 91 91 91 91 91 91 92 92 92 92 92 93 94 94 92 92 92 92 90 89 89 88 88 86 85 85 85 85 85 85 86 88 91 97101104107108106109999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999101102102100 99 98 98 97 97 96 96 95 94 93 92 92 92 92 92 93 98100101103 99100100100 99 99 99 98 98 98 99 99 99104104104105103101102102102103103103104103104103102103101102102102101102100101100100 99100 99 98 98 98 98 98 98 99 99100100101102101102102102102102103103103103104103103103102102102102101101101102101101101101101101101101101101101102102102102102102101101100 98 97 97 97 97 98 98 99100100100 99 97 96 96 97 97 97 96 96 97 96 98 98 98 99 99 98 97 98 98 98 98 97 98 98 99100101102103103103103103103103102103103 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 81 78 76 75 74 72 69 63 55 51 51 50 49 48 46 45 47 48 49 52 54 59 61 62 61 60 58 57 57 55 54 55 57 57 57 56 58 58 57 57 57 56 53 50 49 50 52 55 59 59 60 64 65 64 63 64 65 64 61 59 59 58 57 57 56 56 58 59 61 62 65 66 65 66 65 64 64 65 65 66 66 66 67 69 71 73 73 73 74 75 76 77 78 78 78 78 79 80 82 84 86 88 89 90 91 91 90 89 88 87 87 86 86 87 87 86 85 84 81 80 79 81 81 84 85 90 91 91 92 92 92 92 93 93 92 93 94 94 94 93 91 92 91 91 91 92 92 93 93 94 94 95 96 96 94 93 93 92 91 90 90 90 87 86 87 86 86 84 84 84 88 93 97100102104105107107999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999102102102100 99 99 98 98 99 99 98 99 98 96 93 93 93 94 93 93 98101100 99 99100101100101100 98 99 99100101100100104105102102102103103103103104104106105105105104104104104104104104104104103102100100 99 99 99 99 98 98 98 99 99100100101101101102102102102102103103102102104104104104105104103103102102102101101101101101101103102102102102102102103103103103103103103102102102101100 99 98 98 98 99 99100100100100 98 97 96 97 97 98 97 97 97 98 98 99 99100 99 98 98 98 99 98 98 98 99 98 99100102103103103103103103103103103103102 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 85 81 77 74 72 69 66 61 56 51 50 49 48 48 46 46 49 50 51 53 56 57 60 64 64 64 63 62 62 62 61 60 60 61 60 60 60 62 63 61 58 57 55 52 48 47 47 46 50 57 59 62 64 65 64 64 65 67 69 67 63 62 60 58 57 56 56 58 60 61 64 67 66 66 62 61 62 63 65 68 68 69 70 71 72 75 76 75 73 72 72 73 74 75 76 77 78 79 81 83 86 88 89 90 90 90 90 90 90 90 89 89 89 90 89 90 89 88 88 86 83 82 83 85 85 87 93 93 92 93 94 94 94 94 93 94 94 94 94 94 93 92 91 92 92 91 92 93 94 95 95 95 95 96 96 94 94 94 94 92 91 89 87 86 85 85 84 83 83 83 85 93 97100103102108112999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999103102101100 99 99 98 99100100 99 99 99 97 95 93 93 93 94 95 98101100 99 99100101101101100 99 98100100101101102102102102102103103104105105104105105105106106105105105104105105105105105103102102101100 99 98 99100100 99 99 99100100101101102102102102103103104103102101103103105105106105104104104104103103102102102102102103103103103103102103103103103103103103104103102103102101100100 99 99 99100100101101100 98 97 95 96 97 97 97 97 97 97 96 97 97 98 98 98 97 97 97 98 99 99 99100101102103103103103103103103103103104104103 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 84 81 77 73 70 68 65 62 60 57 54 53 51 50 50 48 49 52 56 59 61 63 63 64 66 67 67 67 65 65 65 66 66 65 65 64 63 64 65 66 63 60 59 58 54 50 48 50 51 55 58 60 62 63 63 64 63 64 66 68 69 66 64 64 62 61 62 60 60 63 64 64 63 63 62 61 60 62 64 66 69 71 73 74 74 74 75 74 72 71 70 71 72 73 75 77 79 80 81 82 84 85 88 89 89 90 89 90 90 90 91 90 91 93 92 91 92 92 92 92 92 91 90 89 88 92 92 94 95 93 93 93 94 94 93 93 94 93 92 93 93 93 93 91 91 91 91 91 92 93 93 95 96 94 95 94 94 94 94 94 94 91 88 85 84 84 84 82 84 86 89 94 98100102103107999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999105104102101100100 99100101102101101100 98 96 93 93 94 95 95 97 98 99 99 99100101101101101100100105103103105102102102102103103105105105105105105105106105106106105105105106107106106105105104103102101100 99100100101101101101102101101101101102102104104104104103103102103104105105106105105105105104104104104103103103104103104104104103103104104104103103103103104104103103102101100101101101101101101101101100 99 97 96 95 95 94 95 96 96 96 96 97 97 97 96 96 96 96 96 98 98 99100101102103103102103103103103103103104104104103 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 86 84 83 80 76 72 69 67 66 64 61 61 58 58 59 59 58 53 56 58 62 65 66 67 67 66 67 69 69 70 71 72 72 73 72 70 67 66 66 67 68 68 68 65 64 63 58 55 53 54 56 57 58 59 60 60 62 62 63 64 64 65 66 68 68 67 66 65 64 64 63 62 62 62 62 63 62 62 62 65 69 68 72 74 73 74 73 74 73 72 69 70 71 72 73 74 76 78 80 82 84 83 84 85 87 89 90 90 90 90 90 91 91 92 93 93 94 93 93 93 94 96 96 95 95 96 96 97 96 96 95 93 93 93 93 92 92 91 90 91 92 92 93 92 92 91 91 91 91 92 92 93 94 95 95 94 95 95 96 96 95 94 93 92 92 90 89 87 86 87 88 91 94 99102103103104999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999100100100100101101 99 98 97 97 96 94 94 94 95 95 99100100100 99100100100100100100100105104105102102103103104105105106106105105105105105106106107107106106106106106107107106107106104103103102103103103103103103103103104103103103103103104104104104103102102103104104105105105105105105105105105104104104104105105105105105104103103103104104103103104103104103103101101100100100100101101101101101100 99 99 98 97 97 96 97 98 97 96 96 97 97 96 96 96 96 96 96 98 99100101102103104103103104104103103103103103104104104 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 87 85 83 81 78 76 73 71 69 66 64 64 64 63 64 66 65 64 62 64 66 68 69 69 69 68 68 70 71 73 73 74 75 75 75 74 73 71 67 66 67 68 69 69 70 71 69 66 63 60 57 56 56 56 57 59 61 63 63 64 64 64 64 65 66 69 70 69 68 69 69 68 66 65 64 64 64 64 65 65 65 67 70 71 76 77 78 75 73 71 72 72 72 72 74 76 77 77 79 81 83 86 86 86 85 86 87 89 92 92 92 92 92 93 93 93 94 95 95 95 95 95 97 98 99 99 99 99 99 98 98 96 95 93 93 91 92 90 90 90 91 91 91 92 93 92 91 91 91 91 91 91 92 93 96 95 94 95 95 96 96 97 97 96 94 94 94 92 91 91 91 94 99101103104104105999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 99 99101101100 99 97 96 95 96 95 95 94 95 97 97100101102102100100100 99 99100100103105105106103103103104105106107107106105105105105106106107107108108107107107107107107107107107106105104104105105105105105105105105105105105104104104104104104104104103103103103103103104105106106106106106106105104104105106107106105105104104104104104104104104103103103103103102102101102101100100101101100101100100 99 98 98 98 98 98 98 98 98 98 97 97 97 96 96 97 97 97 98100101102103103104104104104103103103103103103104104104 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 84 83 81 79 76 72 71 69 67 65 65 66 67 66 65 67 66 65 66 68 69 69 70 70 70 71 71 72 74 75 75 75 75 75 75 74 75 72 68 67 68 67 67 68 69 69 69 70 68 63 54 49 50 52 54 60 63 64 65 65 66 66 67 65 67 68 70 72 73 72 71 69 68 67 66 65 65 66 67 69 68 70 73 75 77 78 81 81 77 76 75 79 79 76 76 78 80 80 82 83 85 87 88 87 87 87 88 90 92 93 93 93 93 93 94 94 95 96 96 96 94 95 95 96 97 98 98 98 98 99 97 97 95 95 93 92 91 91 91 90 91 90 91 91 92 92 91 91 91 91 91 91 93 95 95 95 94 95 96 97 97 98 98 96 96 95 95 93 93 94 97100102103105106107107999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 99 99100101100 98 98 98 96 95 95 97 97 97 98 99103104105103101100 99 99100102103105106106104104104104106106108108108107107107107106106107107108108108108107107108107107107107107107106105105106106106106106105105106105105105104103103103103103104105104105104103104104104104106106106107107107106105105105105105105106105104104104104103103104104104104103104103102102102102101100100100100100100100100100 98 99 99 99 99 99 99 99 99 98 97 97 96 97 98 98 99 99101102103103103104104104104104103102103103103103103103 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 89 86 84 81 79 75 71 69 69 68 66 65 64 64 66 66 66 66 65 65 66 68 69 69 70 71 72 72 72 74 74 74 74 73 73 74 75 73 71 69 66 65 65 65 65 66 66 66 67 69 68 58 50 48 49 50 55 60 63 65 65 66 68 69 69 67 69 71 73 75 75 74 73 71 70 69 68 68 68 68 68 69 70 73 76 74 75 75 82 83 80 80 79 81 80 80 80 81 81 82 83 84 85 86 87 88 88 88 90 92 92 93 93 94 94 94 95 95 96 96 96 95 95 95 94 95 95 96 97 98 99 99 96 96 96 95 94 93 93 92 92 91 92 93 92 92 92 91 91 90 91 91 91 92 92 95 95 95 94 94 95 97 98 99 98 98 96 96 95 95 95 97 99101103105106108109111999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 98 99100100 99 97 98 98 98 98 98 98 98 99104103102101101101101101102103105105106107106106106107107108109109109109109108108108108108107108109109108108108108108108107107107107107107107107107107107107106106106107106105104103102101101101101102103104104105104105105105105107107108108108107107106106105105105105105105105104105105105105105104104104103103102101101101101101101101101100100100101101100 98100100100101101101101100 99 99 98 97 97 98 99100101102103103103103104104104103104103103103102103103103103 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 92 89 86 83 78 74 71 68 68 67 66 64 63 62 62 63 64 65 66 65 65 66 67 68 69 71 72 71 73 73 73 73 73 72 71 72 73 72 69 67 66 65 63 64 65 65 66 66 66 66 67 64 58 50 49 50 53 56 60 62 63 65 66 65 68 69 68 69 72 76 76 76 78 77 76 73 72 70 70 71 70 69 68 69 74 76 76 76 76 77 80 81 79 79 79 81 82 82 82 82 83 84 84 84 85 86 87 88 89 90 92 93 93 93 94 94 95 95 96 96 96 96 95 95 95 95 94 95 96 97 97 96 96 97 96 95 95 94 93 92 93 94 94 92 92 92 92 93 91 90 90 91 91 91 91 92 94 94 95 94 95 96 97 99 99 99 99 98 96 96 97 98 98100102103105107109112999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 97 99100100101 98 97 99100100 99100103102102103102102103102105105104104106106107106107107108108108109109109110110109109109108108108108108108108108108109109108108108108108108108108107107108107107107107106107107107106103102102101100100100100101102103103103103105105107107108108109108108107107107107106106106106107106107107106106106105105104104103102102102101101101101101101101101101101101101100 99 99100101101101101101101101100100 99 99 99 99100101102103104104104104104104104103103103103102102102103103 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 91 89 87 83 79 74 71 69 68 67 66 65 64 64 62 62 64 64 66 66 66 66 68 68 69 70 71 72 72 72 73 72 72 71 70 69 70 70 70 68 66 66 66 66 66 68 69 70 70 69 69 68 64 59 53 51 52 54 54 56 57 59 61 61 60 64 69 69 71 75 80 80 81 83 81 79 78 76 72 73 75 75 73 71 71 74 77 77 78 79 80 80 83 79 81 80 83 83 84 83 83 84 84 84 85 85 86 87 87 88 90 91 90 91 93 93 94 94 95 95 96 96 95 95 95 95 95 94 94 95 95 96 97 95 97 96 95 94 93 92 93 93 93 94 94 92 92 93 91 91 90 90 91 91 91 92 92 92 94 95 95 97 98 99 99100100101100 99 98 99 99100101103105106108109115999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999104102104105106999999999999999 99 99100101 99103106107106106104103104102102103104105106106106106106107107107107107108108107107109110110110110111111110110110109109108108108109109109109110109109109109109108108109109107108108107107106106107107107107106105103103102101 99100100101103104103103104105105107108109109109108108107107107107107107107108108108108108107107106105105104103102102101101101101101101101101102102103103102101101 99 99100101101101101102102102102101100100100100101101102103104104104105105104104104104103103102102102102102 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 86 87 87 85 82 77 74 72 70 68 67 66 65 63 62 61 61 61 63 64 65 65 65 67 69 69 69 69 70 70 71 72 72 72 72 71 70 70 69 68 68 67 67 68 69 70 70 72 73 73 72 70 71 69 65 60 59 60 60 60 60 57 55 56 57 58 60 63 67 70 75 80 80 80 78 78 76 74 73 74 75 73 75 77 76 75 74 73 75 80 80 81 82 82 82 82 83 81 83 86 86 84 85 85 85 85 84 84 86 86 86 88 88 90 90 91 91 91 92 93 93 94 93 95 95 93 92 92 93 93 93 95 95 95 97 97 96 95 95 96 95 94 92 94 94 93 92 92 92 92 91 91 91 91 91 91 92 91 92 93 93 94 96 97 99 99100101102102102102101101101101101102105107107106999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999106104104105106105104104999999999101100100100101104106107108103103103102102103104105106107108108107107106108109109107107109109109109110111111112111111111110111110109109109109109110110110110110110110110109109109109108109108108107107107107107107108108108107105105104104104104103103103107107106105105106107107108108109109109108107107107107107107108108108108108107107106105104104103102101101101101101102102102101102102103103103103102101101100100100101101101102102102102102101101100100101101102103104104104104105105104104104103103102103102102102 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 81 82 84 85 83 80 76 73 71 69 68 67 66 65 64 63 61 61 61 61 62 63 63 64 65 67 67 68 68 68 69 69 70 71 71 71 70 70 70 69 67 68 68 68 69 70 72 74 74 74 73 72 71 73 73 72 71 69 69 69 70 70 68 66 62 59 60 60 62 65 70 74 78 77 74 71 67 66 67 68 69 68 72 72 73 76 78 77 76 75 78 81 82 85 85 85 85 87 87 86 90 89 89 86 86 87 86 85 84 84 84 84 84 85 87 88 89 90 89 89 89 90 92 93 93 93 93 94 94 93 93 93 94 94 95 95 94 95 96 95 95 95 96 95 95 95 93 93 93 94 93 93 91 92 91 91 91 91 91 91 91 91 92 93 94 96 99102102101101101101102101101102102102102104105106107999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999104104107107107105104103103102101101100101102104106108109107107106105105105106106105107107107108108108108109109111109110111111112112112112113113113113112111111111110110111110110110111111111111111110110110109109110109108109108108108107107107108108109108108107106106106105104104104104104105105106107108109109110110110110110109108108107108107108108108108108107107106106105104104103102102101102102102102102102102102103103103103103103103102101100100100100101102102102103103103102101101101101101102102102103103103104104104104103103103103103102102 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 83 82 82 82 81 80 78 75 74 71 70 69 68 65 65 64 63 62 62 63 61 61 63 64 64 64 65 66 67 68 69 69 68 68 70 71 71 71 71 70 69 68 68 69 70 71 71 73 75 76 74 75 75 75 75 76 77 78 79 79 78 77 75 74 72 70 66 64 63 64 65 69 70 70 70 68 67 61 76 66 72 69 69 67 68 69 71 74 75 75 77 77 79 81 81 84 86 87 87 89 89 90 90 91 91 90 87 86 86 85 84 83 82 82 82 83 85 87 88 88 89 87 86 88 90 88 90 91 91 93 93 93 93 94 94 95 95 95 94 95 95 95 93 94 94 94 93 93 95 93 94 94 94 93 93 92 92 91 91 91 91 91 91 92 92 93 95 97 99101101102102103102101101101102102102104105107106109999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999104103105107107105103102102102103102101102103106107108108108107107106105106106106106106107107107106105106107108109110112111111112112113113113113113112113112111111111111111110110111112112112112112111111111110110110110110109109108109108108108108108109110109109109108108108107107107106107107108108109109110110110110110111110110110109109108108108108108108108107106105105105104104104103102102102102102103102102102102102103103103103103103103102101101100101100101101102102103103103103103102102102102101102101102101102102103103104104104103103103102103 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 87 85 83 81 81 80 77 75 73 72 70 69 69 69 67 65 64 64 62 61 61 62 60 59 62 63 64 65 65 66 66 69 71 69 68 69 72 73 73 73 71 71 70 70 69 70 71 72 73 74 77 76 75 77 78 78 78 79 80 81 82 81 80 79 77 75 71 66 66 65 64 64 63 61 61 62 64 64 65 65 64 63 64 65 65 67 68 69 68 68 71 72 75 77 79 80 83 85 86 86 89 90 89 89 90 92 91 89 88 88 86 84 82 82 81 81 81 82 83 84 85 86 86 87 88 86 88 87 89 91 91 92 93 93 92 93 94 94 95 96 95 96 96 95 93 93 94 93 94 94 93 92 93 92 94 95 94 93 94 93 92 92 92 92 92 92 93 95 96 98100104104103102103102100100100101101101104106107108999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999111109109107106103102101101100100101101103105107107108108108107106106106105106106106107107108107106105106107108109110111112112113113113113113113113113112112112112111111111111111112113113113113112112111111110110110110110110110109109109109109109109110111111110110110109109109109109109109109109109110110111111112112111111111111111110110109109109108108108107106105104105104104104103102102102102103103103103103103103103103103103103103103102102101101101101101101101102103103104104104104103103102102102102102102102102102102103104104104104103103103103 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 92 90 86 83 81 80 79 78 77 75 74 72 70 69 67 66 66 66 65 64 62 62 62 60 59 60 59 62 66 68 68 69 69 70 71 69 69 71 73 75 75 75 72 71 71 71 71 72 73 72 73 74 76 77 77 78 81 82 82 83 83 83 82 82 81 80 78 74 69 65 64 64 63 61 61 61 58 57 60 62 65 63 63 58 59 59 65 66 65 66 65 63 62 64 66 67 72 76 79 84 83 85 89 89 90 89 90 92 91 89 90 85 85 83 81 81 79 79 80 81 84 84 85 85 86 85 87 86 87 86 87 88 89 90 92 92 92 92 92 92 94 96 96 97 97 94 93 92 93 92 93 93 94 93 92 93 96 99 99 98 97 97 94 94 94 95 95 94 95 95 96 99100103105105103102102101101101101100102104107108109999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999119113113109107106105103102101100100103104106107109108107107107106106105105105106106106106107108107105102104106108109110111112113113113113114114114114114113112112112111111111111112113113113114114113113112111111111111110110110110110109109110110110110111111111111111111111110110109109109110109109110110111112112113113112112112112112111111110110109109109108107106105105104104104104103103103103104104104104103104104103103102103103103102102102101101101101101101101101102102103103104104104103103103102102101101101102102102102102103103104104104103102102 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 94 90 90 89 85 83 79 76 76 77 77 76 74 72 69 68 68 66 66 67 67 67 68 64 63 63 62 63 64 64 63 68 70 72 72 70 70 70 70 71 74 76 76 76 76 74 73 73 76 76 76 76 77 76 76 77 78 78 79 81 83 83 82 82 82 82 81 81 79 76 71 67 67 66 65 65 62 62 61 57 55 61 62 65 64 64 59 59 57 78 71 65 65 63 61 60 60 60 59 64 69 74 80 83 83 86 90 88 88 90 92 92 91 89 88 85 82 81 80 78 79 80 82 82 83 84 85 86 87 88 88 88 87 87 87 89 88 90 91 92 91 90 91 94 96 97 95 96 95 94 91 92 93 93 93 92 93 93 95 97100100100 99 97 98 98 98 98 97 97 97 96 97 98 99102102102103102102102101100100100102104108109109999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999129120118115111108106105104103103103104106107108109109108108108107106105104104104105105104104105106105104103103105107109110112112113113114113113114114114114113113113112112112112112112113114114114115114114114113113112112111111110110110110110110111111112112112111111111112112111110109110109110110110110111111112112112113113113113112112111111111110110109109108107107106105105105105104103103104103104104104104104104104103103103103103104103102102103103102102102102102102102103103103103103104103102102102102102101101101101101101102102103103103103103102103 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 96 92 88 85 84 81 77 74 71 69 71 74 74 73 71 69 66 66 65 65 66 68 72 72 71 67 65 65 66 65 67 66 70 72 74 74 73 70 71 72 74 77 79 77 76 77 78 76 76 78 79 79 80 79 79 79 79 80 80 80 81 81 81 81 81 80 80 79 78 79 76 72 69 69 68 68 68 67 67 63 58 56 61 68 73 72 70 67 69 70 69 69 67 67 68 63 61 58 56 57 57 61 69 76 80 81 86 87 86 88 87 92 92 91 89 89 85 84 83 83 82 80 80 82 82 83 83 85 87 88 90 91 91 90 88 88 90 89 89 90 90 90 91 92 93 95 97 96 95 93 93 92 93 92 92 93 93 93 93 95 96 98100100100101102101101101101 99 99 99 99 98100101102103103102102102102101100101102104107110111999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999128120117114113109107107106105105105106107109110111109107106106106105104103103103103103103103104104103104105105106107108110111111112112113112112112112113113113113113113113113113113113114114115114115115115115114113113113112112111111111111111111112112112112111111111111111111111110110110111110110110111111112112112112112113113113113112112112112111111110109109108108107107106106105105104104104104104104104104104104104104104103104104104104104104104104104104103103103103103103103104104104104104103103103102102102102102102102102102103103103103103103103103 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999103 99 94 87 83 79 77 74 71 68 66 68 72 74 76 74 71 68 65 64 64 65 66 69 71 72 70 70 69 67 66 68 71 71 74 76 76 74 72 71 73 76 79 80 81 78 77 76 75 79 79 79 79 80 80 81 81 80 80 81 81 82 82 82 82 82 81 81 80 79 77 75 75 74 72 72 73 72 73 72 66 61 59 62 67 70 74 75 77 77 80 79 80 78 76 72 69 65 61 59 61 61 66 69 75 78 80 86 87 86 86 89 90 89 88 89 88 87 86 85 87 88 85 86 85 84 85 83 85 88 90 91 92 93 93 92 92 92 92 92 91 90 91 92 94 94 94 95 95 94 95 94 93 92 92 92 92 93 93 93 94 96 99101102102103105105104104103102102102103102104106106106105104103103103101101102104105108110111999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999126118116114112109108107107107107106107109110111110109107106105105104104103103103103104104104104104105105105106107107108109110112112112112112112111111113113113113114113113114113113114114115115116115116115115114113113113113112112112111111111112112113113113112112112111111111111111111110111111111111111112112113113113113113113113113112112112112112112111111110109109108108108107107107106105105105105105105105105105105105105105105105105105105106105104105105104104104104104104104105105105104104104104104103103102102102102102102102102102102103104103103104 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999107106104100 95 89 83 79 76 73 72 72 73 79 84 85 86 88 78 72 67 64 62 62 64 67 70 71 71 70 68 67 70 68 69 72 75 76 76 74 72 72 75 78 81 81 80 79 78 78 78 81 82 82 82 82 82 82 83 82 83 83 84 85 85 83 82 82 81 81 80 78 76 75 76 75 74 73 75 74 73 71 66 63 62 63 65 67 71 73 75 78 80 79 79 79 79 78 74 69 69 68 68 70 73 77 79 81 84 87 88 87 87 87 88 88 88 88 88 88 88 88 92 92 92 90 89 88 85 83 83 87 89 90 92 93 93 93 93 92 92 94 90 89 92 95 98 96 95 95 94 97 98 96 95 95 93 92 93 94 94 95 95 98100102101103104106106105105104103103104106108109109108107107106104104103103103104105106108110111999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999119118113111107107107106107108108108108109110110108105106107107107106105103103103104104104104104104104104104105107107107108999999999110111112110111113114114114113114113113113113114114114115115116116116115114114114114113113112112112112112112113113113112112112112112112112111111111111111111111111111112112113113113113113113113112113112112112112112112111110109109108109108108108108107107106106106106106106106106106107107106106106106106107107106106105105105105105104104105104105105105105105104104104104103103102102102102102102102102102103103104104104 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999106106106104103101 97 93 90 89 87 88 87 86 86 91 91 90999 87 81 78 76 71 65 63 65 67 71 73 71 70 68 67 68 69 71 72 74 76 75 75 75 75 77 79 81 82 82 83 85 85 83 83 84 86 87 88 87 87 87 87 87 87 87 87 86 85 84 81 80 79 78 77 76 75 74 75 75 75 76 75 71 69 65 64 65 65 66 67 68 69 70 71 72 75 77 79 78 81 76 78 77 79 77 79 80 81 82 84 84 86 87 85 85 86 86 87 89 89 89 88 90 90 94 94 94 93 91 89 87 85 86 87 89 90 91 92 93 91 91 91 92 93 93 92 94 96100 99 97 95 95 99100 98 97 98 97 96 96 96 96100100102101104104106106106108105103104105105105107109109109109108107106105104105105105106105106109110111999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999123118114110107108108107107108109109110110110109107107109110109109108109106106104104104103105104104104104104107107108108108108999999108110112112113113114113113113113113113113113113113114114115116116116116115115115114114113113113112112113113113113113112112112113113112111111111111111111111111112112112113113113113113113113113113112113112112112112112112111110110109108108108109109107107106106107107107107107107107107107107107107107107107107106106106106105105105105105104104104104104104104104104104104103103103103102102102102102102102103103103103103 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999101102103104105105105104103101 99 98 97 96 96999 98 96 97 98999999999999999 79 76 73 71 69 68 70 72 73 71 69 69 69 70 72 73 74 75 75 75 75 76 77 78 80 81 82 84 85 85 85 86 86 86 88 90 90 90 91 91 90 90 89 89 88 86 85 83 81 79 77 77 77 75 73 74 75 75 76 75 72 68 65 64 65 69 72 72 71 71 72 73 72 72 71 75 78 79 78 79 77 77 76 74 75 75 77 78 80 82 82 82 83 84 84 85 89 90 90 89 90 92 92 93 94 90 89 88 85 85 87 88 88 89 91 92 90 89 91 94 93 94 96 95 96 98102101 99 98 98100100100100100 98 98 98 97 99100101103104105106108107108108105104104103105106107108109109109108107107106105107107107106106107109110109999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999118116112109109109110108109109110110110111110109110110110110109110109107106107106104103104104104104105105107108108108108108111999999110108111113114112111111111111112112113113113113113113115115116116116116116115114113113112113113113113113113113113113113112112112112111111112112112112112113113112113112113113112113112112113113113113113113112112112111111110110109109108108108108107106106106107107107107107108108107108108108107107107106106106106106105105105105105105105104105104104105104104104104104104103103103103102102102102102103103103103103103 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999102102102103103103104105105104104103102101999999999101102101100999999999999999999 85 83 79 75 73 74 74 74 73 72 73 72 73 73 72 73 76 77 76 78 77 76 76 78 79 82 84 84 86 86 86 87 88 88 90 90 90 91 90 91 90 90 89 89 89 88 86 84 82 81 78 77 77 74 73 73 73 74 75 75 74 70 66 65 68 73 77 78 79 77 76 74 75 74 72 72 75 78 77 79 78 77 76 76 74 75 77 78 80 81 81 81 81 81 82 83 87 88 89 89 90 90 90 90 91 91 90 87 85 89 88 88 89 88 92 93 91 91 93 94 95 96 96 97 98100101104103102102102102102101101 99 97 98 97100101103104103104105106106106105106105104106105104104105107109108108107107106106108107108107106106108110109999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999117114111111110110110109110111111111111110110110110110110110109107106106107106105106106105104104105106105105108109107107109109999999999111112112111108108107109109110111112113113113114114115116116116116116115115114113113113112113113114113114113114113112112112111111111112112113113113113112113113113114113113113113113114113112113113113112112112112112111110110109110110109108107107107107107107107107107108108108108108108108107107106105105105105105105105105105104105105105105105105105105104104104104104104103103103102102102103102102103103103102 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999105102102103103102103104104105105106105105104104104105104104103999103999999999999999 85 83 80 76 76 74 74 75 74 74 74 76 76 75 74 72 75 77 76 76 76 76 77 77 79 81 82 83 85 86 87 88 88 89 89 88 88 88 86 85 85 87 87 87 87 87 87 85 83 81 77 75 74 72 71 72 73 74 75 74 73 75 71 66 68 75 78 81 83 85 84 81 79 76 74 74 75 76 76 78 79 79 78 77 78 77 77 80 81 81 81 81 81 81 82 84 86 88 89 90 91 92 92 91 90 90 89 88 88 90 89 92 91 91 93 94 94 94 93 94 96 98 99 98100101101105106104104103104104101101101100 99 98100100101102101101103104105105105105105105104104104105105105105106105106106107107107108108107107107108110109999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999114112112111110111111112112112111112111111111112112111110109107106106106106106107106105105105104105104105106106105105107110109110999999112111110110109108107109109108108110112113113114114115115116116116115115114114114113113112112112113112113113113112112112112111112112113113113113113113113113113113114113112113113114114113113113113113113113112112111111111110110109109108107107107107108107107107107108108108108108107107106105104104104104104104105105105105105105106106106106105105105105105105105105104103103103102102102102102102102102102102 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999105100 99100 99100102103104105107105106106106107106106105105104104104102999999999 90 87 83 80 78 76 76 76 77 76 75 76 78 76 73 73 72 72 73 76 76 76 75 76 77 79 80 81 82 83 84 84 85 86 86 85 84 83 83 82 81 80 81 81 81 82 84 85 86 85 82 78 75 73 72 73 74 75 77 77 76 75 73 70 67 70 75 79 80 81 82 81 81 81 77 73 74 74 75 76 76 78 79 80 80 80 81 82 81 80 81 82 82 82 82 83 85 85 86 88 90 91 92 92 90 90 89 89 90 88 87 89 90 92 92 93 94 95 95 93 94 98101100103101101102105106107106107106104103102101101 99 99100101102102102102102102103104104104104105106105106105107106106105105106104104105107107109107107107109109109110999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999111110110111111111112112113112112112112111111112112111110108107106106106106105105105105105104104104104104104103103104107107107107108108109109109109108108108110110999109108110111112113114114115115114114114114114114113112112112112111111111111112112112112112112112112112112112113114114114114113114113112113113113114114114113113113113113113113113112112111111110110109109108108107108108107107107107107107108108108107107106105105104104104105104104104105105106106106106106106106106106106106105105105105105104104103103102102102101102102102102101 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 98 98100101102103105105106105107108107105104104104104103102 99 96 95 94 92 88 83 78 78 78 79 78 77 76 75 76 74 72 72 73 73 73 75 76 77 76 76 78 79 80 78 79 80 80 80 80 81 80 80 80 80 79 79 79 79 79 78 79 80 81 84 87 87 86 81 78 74 73 73 75 79 80 79 76 73 71 70 68 73 76 77 79 79 79 78 77 75 73 70 73 74 76 78 79 81 82 82 83 83 83 83 82 81 81 82 83 84 85 85 85 85 86 86 88 89 90 90 89 89 88 88 89 90 90 93 95 95 95 94 94 95 93 94 93 92 95 99102104102101103104105107107109106105104103103101101101101103102103103103103103103103104105105105104105107108108108106105105105105106106106108106107107109109110112999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999109107109109109109110111113113113113113113112111111111111111110109108107107106105105104105105105105106106105104104103104105105106106106107108107108109110111109109110110111111110110110111113113113113112112113113113112111111111111111110110110111111112112112112111111111111111112112112113113113114113113113113114114114115115113113113113113113113114114113113112111110110109109109108107108107107106106106106107107108107107106106106105104104105105106106106106106106106106105106106106106107107107107107107107106105104103103103102102102102102102102102 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999101999999999999999999999999999108104102102102102102101 99 98 97 96 95 93 88 82 79 79 81 80 78 77 76 74 72 72 73 73 75 75 74 75 74 74 75 77 78 78 78 79 79 79 79 79 78 78 79 79 79 78 78 78 80 81 82 84 84 84 85 88 89 89 85 81 77 73 74 77 79 79 79 77 72 70 70 72 75 76 78 79 80 79 77 75 74 73 74 76 78 79 81 83 84 84 84 84 84 82 82 81 81 82 82 82 82 84 84 84 85 86 86 87 86 87 87 87 87 88 90 91 92 95 93 94 97 96 95 96 94 95 94 90 94 94100101100102101104105105107108107107107107105105104103102103103104104104105105105104104104105105105106107108110107106105105104105105107107106106107107107109111111112999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999105 97 97 98999999999999999999112107107107108108108110112113114114113112112111111111111111111110109108107105106105105104106106106106106106105104104104105106106106106106106106107108109110111111109109111111111111110110109111112112112112112113112112111111112111111110110110110111111111112112112112112112112111111112112113113113113113113113114114114114114114113113112112112112112113113113113112111110110109108108107108108108108107107107107107107107107106106106105105106105105106106106106106106106107107107107107107107107108108108108108108107107106105104104103103103103103102102101 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999109105100 98 98 99100100 98 99 96 95 95 94 92 86 81 83 83 82 81 80 79 78 77 77 78 78 78 77 77 75 74 73 73 74 76 77 77 78 79 80 80 79 79 79 79 79 78 79 79 80 85 91 95 98 97 95 93 94 92 90 88 86 81 74 75 76 80 82 81 77 78 72 71 74 76 76 77 78 78 77 75 74 74 74 76 78 81 83 85 85 86 85 85 87 85 84 83 82 82 83 83 83 85 83 84 85 85 85 85 86 86 87 86 86 87 90 93 93 93 91 94 96 95 98 96 91 94 97 98 98 98 98101101 98 99 99100100103104106105107107107107108107106107106106106106107107108107106105105106105105106106107107106106104104105106107107107107107107107107109110112113999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 89 91 97100100101100100100104105104105105106106107108110112113113114114113113112111111112112112111110110108106106105105106105107106106106106105105105105105105107107107106106106106106108109110110110110110111110110110110109110111110111111111112112112111112111111111110109109109109110110110111111112111111112112111111111112112112112112113113113113114114114114113112111111112111111112113113113113112111111111110108108109110110110110109109108108108108108108107106106106106106106106106106107106107107108108108108108108108108109110109109109109108108108107106105105104104103103103102102101 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999111112107100 96 95 96 97 97 96 96 97 95 94 93 92 89 88 87 87 84 84 84 84 83 83 83 83 84 83 82 82 81 80 78 76 76 77 78 79 81 81 82 83 82 83 82 81 81 80 80 80 82 91 99100101101100101 91 90 89 86 86 84 79 76 76 80 84 86 85 83 79 75 75 76 76 76 81 78 79 78 78 77 79 80 82 84 85 86 86 86 86 88 88 87 85 84 83 82 83 83 84 85 84 85 85 85 85 86 87 87 87 87 87 88 89 90 90 98 91 91 90 90 91 95 91 91 94 96 97 96 96 98102 97 96 97 99 99100101102104105105108108109108108107108106106105106107109110110108106106106106107106107108105105105105106109109108108107107107105105108110113114118999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999105103103 99 96 99101101102101100100101103105107108108109110112113114114114114113112112111111112112112111111109108106106106106105105107108107106106106107107107107107108107107106106107108110111111111112111111110111112111111110110110109110111111112112112112112112112111110109109109109109110110111111112111111111112112112112112112112113112112112113113114114114114113112111110110111111112113113112113113113111111111110110110111112112112111111111111111110110109109108107107106107107107107107107107107107108108108109109109109110110110111110110110109108108107107106106105105105105104103102101102 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999117112104100 95999999999 95 96 97 97 96 95 94 93 92 91 91999 88 90 90 90 90 89 89 90999999 87 87 85 83 82 81 81 81 82 82 83 83 83 83 83 83 82 82 81 80 81 87 96102104106999999999999 90 87 85 84 84 81 76 77 84 86 87 88 86 84 78 78 77 77 78 79 80 81 81 81 81 82 83 85 86 86 88 89 89 90 90 90 87 87 86 85 85 85 84 84 84 86 85 87 86 86 87 89 88 89 88 88 88 90 90 93 95 92 92 92 92 92 93 94 94 94 95 96 96 96 96 99 97 98 98 99100100100103103104105106109109109108108108108107106105106109110111112108107107107107107107108106106106107107108110108108108107106105105108110113115117999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999111111112110108104102102103104104104103102102104106107109110111112113114114114114114113112112111112112112112111111110109108107107106105106107108106107107107107108108108108108107107106106107109110111111111112111111112112112112112111112112111110109110111112112112111111111110110109110110110110111111111112112112111111111112112112112112112112112112112113113113113113113112111110109110111110111111113113112113113112112111111112112112112112112112112112112112111111110109108108107107107108107107107107107107107107108109109109109110110110110110110110109109108108107107106106106105105105104103102101101 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999121115112999999999999 95 94 95 96 96 95 96 95 94 94 94 94999999999999999999999999999999999999 89 88 87 86 85 84 85 84 84 84 84 83 82 83 82 81 81 81 82 86 91 97102103107999999999999999 87 85 83 83 82 80 77 83 85 87 89 89 87 84 82 80 79 80 80 81 81 83 83 84 85 86 87 88 89 90 91 90 89 91 91 90 90 89 88 88 87 86 87 88 88 90 89 87 88 89 90 89 89 89 90 90 91 91 92 96 96 96 97 96 96 97 97 97 97 97 98 99 97 99 98 99 99100100100100102102104104106107108109109108108108108108106107107109113112108109108108108107107108108108108109109109113109109109111107106105106109110113114114999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999101109112113114113111108106104105105104104105105105105108110110110111112114114114114114113113112112112112112112112111111109109109108107106106107107108107107108108107108108108108108108107106106106108110109111112112111111111111112112112112112112112111110110110110111111111111110110110110110110110111110110111111111111111112112113113113113113113113112112112113112113112113112110109109109109110110111112112112112113112112111112112113113113112112112111112112112112112111110108108108108108108108107107107108108108108108108109109110110110110110110111110110110109108107107107106106106106105105105104103102101 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999124122119118117999102100 96 95 94 93 93 94 94 93 94 97 97 99105999999999999999999999999999999999999999 90 90 89 90 89 88 86 85 84 83 83 82 82 81 81 83 87 91 95 98102104108111114999999999999 87 83 82 82 82 79 82 85 88 90 91 91 89 86 83 82 82 82 83 82 83 84 85 86 87 88 90 91 91 91 90 89 92 91 91 92 90 89 88 89 90 90 92 92 90 90 90 90 91 90 89 89 90 90 91 93 95 96 95 96 99 98 98 99 99 99100 99100100100100101101101103103103102102103104105105106108108109110109108108108108107107107109110112108109108108108109109111111110110110111111111112111112111108107106106107110111113112112999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999105107110112112111112110107105105104104104104105106107108110110110110111112113114114113113113113112112112113113113112111111110110109109108107107107107108108108108107108108108109109109110109107108108108108110111112112112112113112112113112113113113112112111111111111111110110110110110110110111111111111110111111112112112113113113113113113113112112111111112112111112112112112111109108108108109110111111111111111112112112111111112113113113113112111110110111111111112113112110109109108108108107107107107108108108108108108109109109110110110110110110110110110109108107107107106106106106106106106106105104102102 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999125123120122121999999999999999 94 93 91 91 91 91 95 99100107999999999999999999999999999999999999999999999999 95 94 94 92 89 87 85 84 84 83 83 84 85 89 96101103104105105110113115116999999 91 88 84 82 83 84 81 82 85 85 90 94 94 90 89 89 88 84 84 85 84 84 85 84 85 86 88 91 93 92 92 90 91 91 92 92 93 92 92 90 91 92 94 94 93 96 94 93 93 94 95 93 93 92 92 94 94 96 98 98 99 99100100101101101101102101102102102103106105105105103104104105106106106107109109110111110109109108110111111111109110111110110109109111110112114116113111112111112112112112112111109109107106107109111112111110999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999111110110110109107106107104104105104105105107107109110110111111110111111112113113113113114114113113113113113113112112111111111111110109109108108106107108109109109109109109109110110110110110110110110109109110111111111111112112113113113113113113113113113112112111111111110110110110110111111111111111112112112113113113114114113113112112112112111110109109110111110111112112111109108109108109111111112112111112112112111111111112112112113113113112111110109109110111112112112111111110109108108108107108108108108108108108108108108109109109109109110110109109108107106105104105106106106106106106106106105104103102 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999126125123129129999999999999 97 93 90 89 90 91 94 98999999117999999999999999999999999999999999999999999999999100 98 97 96 93 90 87 85 84 85 85 88 95102105107107108109109112113115116999999 92 90 87 83 83 85 82 83 84 87 93 91 93 91 90 89 90 89 87 88 87 88 87 85 83 86 89 91 93 92 91 91 91 91 92 92 92 92 93 93 93 93 94 96 98 98104103101 97 98 98100 97 97 99100100103103101101101102103103103102103104104103104105107107107107105106106106108109108107107109110110111110110109110112112112111111110110109109109111111112114114114112112113114113114114114112111111110109108109110110111111999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999111114114112108106105103104104104106107108108109110111112112111111111111111112113113113113113113113113114113113112112112112112112111111111110109109108107108109110109110110110109110110110110111111110110110110110110110111111112112113113113112112112112113112112112112112111111111111111110111111111112112113113113114114114113113112112113112112111110109108109110111111112113112111110109109110110111112113113112112112112112112112112112113113113113112110110109110110111112112112112112111110110109109108108108108108108108108108108108109109109109109110109108107106105104103103104104106106106105106106106106105104103 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 99 95 91 91 93 97101999999123120999999999999999999999999999999999999999999999999999103103102 99 96 93 91 90 91 94 99105109111110111111110109111112114113119999 96 91 88 84 84 85 82 83 84 87 91 94 97 97 95 94 94 91 90 90 88 88 86 85 85 87 89 90 90 90 90 89 91 91 91 91 93 93 93 93 93 93 95 97100101103106102102103105105105103106106106108105105104104104105106107106106106106106105106106107108107107108109110110109109108108109110109111111111111111112113114112113112112111111110111114115117116115113115115113113114114114113113113112110111111111111111110109999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999119116116113109106105103102104106109110110110110111111111111111112111111111112112112113113113113113113112112112112112112112112112112112111111110110109109108109109110110111110110110110110110111112112111110109109110110111111112113113112111112112112111111111112112112112111111111112111111112112112113113114114115114114113112112112113113113113112112111109110110111111113113112109110110111111111112112112112112112112112113113113113113113113113113112111110110110111111112112112111111110110110110110111110110110110109109108108108108108109109109109109108106105104103103102102103103105106106106105106107106105104103 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999112108105102102100100100999999999124125999999999999999999999999999999999999999999999999999999999105105103102101102102104106108112114114114113113111110112119121113999999999 90 87 84 83 85 83 82 82 85 90 96 98 99 98 96 96 94 92 89 89 87 85 86 86 87 89 88 89 89 90 89 89 90 91 91 92 93 94 94 96 94 96 99101101101102102104105107107107110109108109110110107106106105107107109108107110109108107106105106107108110111112112112111110109109109109110111112112113113115114114114115114114113113111114116116117117117116115114114115115115114114114113113113113113113113110108108999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999120116116114109107106103104105108111112112112112112111111111112111111111110111112113113114113113113112111111112111111111111112113112112112111110110109108109109109109111111111110110110110111111111112112111110110111112112112113113112112112112112111111110111111111112112112112112112112112112112112113114114114114114114112112111112113113113112113113112111110110111112113113112111111111112112112112112112112112112112113113114114114114113114114114113112110110110111111111111111110110111111111111111111111111111111110110109109109109108108108108109108106104103103102101101102102103105106106107107107107106106104104 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999117119111110109107107999999999999120122999999999999999999999999999999999999999999999999999999999999999999108109111110110112115116117119117117114115118115112116119999999999999 95 88 85 84 84 83 81 82 84 89 95 99100 98 96 94 93 92 89 88 87 88 88 89 90 91 93 94 94 95 91 91 91 91 91 93 94 96 99 99 99 97100102103102102103106107108109110111111108111110110108106107108107109110110112110111109106106106107108109110111112112111110110110110110110111113112112112113115115114115116115114113112113117120118118118118117116115116116116115115115115115113114114114115114111108106999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999116115112108105103104105106109112113113113112111111110111111111111110111111112112112112112112112112111111111111112112112112113113113112111111111110109108108108108109110111111111111111112112112112113112110110111112112113113113112112112112112111110110109110111112112112112112112113112113113113113114114114114114113112112112112113113113113113113113112111111111112113114113112112112112112112112112112112112112112112113113114113114114114115115114113112111110111111111111110111112112112112112112111111110110111111110110109108108108109108109108107105103102102100100100101103104105106106107107107107106105104104 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999109112113116121124124125122118121999999106111113999999999999999999 91 87 85 84 84 82 82 84 89 95100100 98 96 95 94 91 89 89 90 92 91 92 92 94 95 96 96 95 98 99 99 97 96 99101102100 99100102103103103104106108108108108107107109110108109111110109107108108111111111113112112110109108107107109110110111112113113113114114113112112112112113112112112112114115115116116116114114114113115119119118117118117117117116116116116115116115115115115116116116115114109107999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999120112110110107106102103105107110112112112111111110109110110110110110109109110111111111111111112112112111110111112113113113113113113113112112111111111110108108107106107108110111111111111112112112112113111111110111111112111111112112112112112112111111109109109110111111112112113113113113114114114114115115114114114113112112112112112112113113113114113113112111112112113114114113113113113113113113112113113113113113113113114114115115114114114114115114114112111111110110111111112113113113113113113112112112111111110109109109108108108108108109108106104104102101100100100102104105106106107107108107107106105105106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999116112118124127128129999999999999999999999999999999999999999114 89 86 85 84 83 82 83 87 95100100 98 97 96 95 91 90 91 92 92 92 92 93 95 98 94 94 96100103103104101103104104102102103103104105108108110112110108107108108109107108108110110110108109111111113113113112110110110111111111111112111112112113114113114115115113113113113113113113112113114114115116115116116115115114113115117117115116117117117116115115116116116115115115115116117117116116111106105999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999112110110108104105105107109111112111111110110109109108109109109109109110111111112112111112113113113112111112113114114113113113113113112112111111110110109108107106106107108110111111112111111112112113113112110110112111111112112113113113112112111110110110110111111112113113114114114114114114114114115114114115113113112112111111111112113113114114113113112112112112113113114114114114114114114114114114114113113113113114114114114114114114114114114114114114113112111111111112112112113113113113113113112112110108108107107108108108108108109109108106105104103102102102102102104105106107108108108107107107107107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999129136140138999999999999999999999999999999999999117116 91 87 86 85 84 83 83 87 94 99 99 99 97 96 96 95 92 92 93 92 91 91 95100 97 96 97 99104106105106106106106107105104104105106109109111112113111108107107109110109110110111110108110111113112114114113114113113114114114114114113113113113113113113114115116115114114114113113113114114114114114114115117118117117116115115116115116116117117117116115114115115115114114114114115117117117118113106104999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999111109108107105105107108110110110110110109109108107107108109108109109109111111112112112113114114114113112112113113113113113113113112112111111111110110109108108107107108108109110110110111111111112112112112112111111111111112112113113113113112111111111111111112112113113114114115114114114114114114114114115114114113113112111111111112112113115114113112112112112112112113113113114115114115115115115115114113113113114114114114114114114114114114114113113114114114113112112113112112112113113113113112112111109107106107106106107107107108108108108107106105104104104104104105106107107107108108108107108108108108108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999145142139134999999999999999999999999999999999999999118109 90 89 87 85 84 84 86 90 96 99 98 97 97 96 95 93 93 92 91 91 92 97 98 98 98101105108108109110110110110109111109111107112115111111113112111108108108109110110110111110109110112111112113113115114114115116116116116115114114113113113113113112113114116116116115115115114113113114114115116114114115115116117117117117116116117117117117117117115114113113113113113113113114116117117118114107104999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999100 93 92 93 94 98999102105106105105108108109109109109109109109109109108109110109110111111112112112112113113113114114114113113113112113113113112112112112111112111111110110110109108108108108109109109110110111111111112112112112112111112112112112113113113113113113113113112113114114114114113113113114114114114114114114115115115114114113113112112112112113114115114113112111111111111111112112112112113113113113113113114114115114115115114114113113112112111111110110111112112112113113113113113113113113113112112112112111108107106105105105106107107108109109109109108107106106106106106107107108108108108108108108109108108109108108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999155155999999152149146143137131127999999999999999999999999999999999999111112 92 91 89 86 84 84 85 88 94 97 98 98 98 97 95 93 94 93 93 93 96 98101101101105106107109111112112112112115115113111114116117114111111112111110110110110109109109110111111112112112113112114114114116116117117117117116114114113113113112112112112114115116117116116116115115115115114115114115115115116117117117117118117117118118118118117116115112112112113113112112112114114116116116114108104999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 77 87 95 95 93 90 90 91 96 99 98 97104104104106107107108108108109109110110110111112112111111112112112112112113113114114114114114113113113113113113113112112112112112112112112112111111110109109109109109109110110110110111110111112112112112112111112113113113114113113113113114115114114114114114114114115115115114114114114115115115115115115115114114114114114114114115115114113112111110111110111111112112111110110109108108109110112113113114114113112112111110110110111110110110111111111111112113113113113113112113113112111110108105105103104105105106107107108109110110110110109108108108108108108108108109109109108109109109109109109109108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999155151151153148146137132129123999999999999999999999999999999999999999121 94 92 90 88 86 84 84 88 95 98 98100 99 98 96 97 96 95 94 94 97101103105107108109110112113114113113113113113113114120118118112112112112114112111112110110110110111111112111112114115115114116116116117117117116116115116114113113112111111112113114117117117117118117117116117117117117116116116116117117116116116116116117118118119118116116114114113114113112111111111113113115113113111106105999999999999999999999999999999999999999999999999999999999999999999999 92 89 89999 83 87 93 95 98 94 90 87 89 90 91 93 97 99100100103105107108109108108110110111112112112112111111111111111111111111112112112112112113113113113113113113113112112112112112112112112113112112112112111111110110110110110110110110110110110111111112112112112112113113115115115114115114115115116116116115115116116116115116115115114114114114114115115115115115115114114115115116115115115114113112111111111111111110109105104106999999999999999107109111112113113111110110110110111111110109108110111111111111112112112112113113113112110109107105102102103104104105105106107108110110110110111110110109108109109109109109109109108108108109108109109109108107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999151150148142136131128124999999999999999999999999999999999999999999 94 92 91 89 87 85 85 87 95 98100103105103102101100 98 97 97 99103106109111112113113113113115115115114114114113115119116113114113113114114114113113111111112113113114113115116116115116115116115116117117117117118117117116115115112111113114115116117118118119118119117117117118118118118118118118118117117117117117117117118118118117118118117117116115112109110110111111112113113113110107106107999999999999999999999999999999999999999999999999999999999999999999999999 88 98 98103101 97 95 95 92 93 93 95 94 92 92 95 98 99103105107108108108110111111112112112112112112113113113112112112112111111110110111111112113113114113113112112113112112112112112112112113113113112112112112111110111111111110110110110110111111112113113112112113113114114115115116116115115115115115115116116115116116115115115115114113113113113114115115115115115115116116116116116116115115113112111111111110109107104102101101999999999999999104107110111111110110110110110111111110110109108109110110111111112112112112112112111109106104101100101102103103104104105107109110110110110110110109108108108108108109108109109108109109109109109109108107106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999133132131131131132999999999999999999999999999999999999999999999 94 92 91 90 87 86 85 86 92 96 99102102102102103101 99100101105107109112112113114114114114114116116115114117114113113114114114115115115114113112112112113113114114115115115115116117117116115116116117117117118118118119118118118117116117118119119119119118119118119118118118118119119118119118118118118117117118118119118118118118119119118117117116113110111110109109109110111112112110108109109999999999999999999999999999999999999999999999999999999999999999999999100104107109108105102100 99 96 96 97 98 97 94 92 93 97 99103105106108108109110111112112111112112113114114114114113113113113113112111110111111112113114114114113113113113113113113113113113113113113113113113113113112112112112111111110111111112112112113113114113113113113114114114115115115114114114114114114114115115115115114114113114114114114114113114115115115115115115116116116116116116116116115115114113112112111109108107105103102101101102100101104106109109109109109109109111111111111111110110110110110111112112112111110109108106103102 99 99100101101102103104105107109111111110110110110110109108108108108108109109109109109109109108108108107106105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999135133132132131132999999999999999999999999999999999999999999999 91 90 90 90 89 87 86 88 92 96 99101100102105105104103102104108110111113113114114114114115117118117117118116116115115115115115116116116115114113114114114113115115116115115115116116116116116117116115117118118118119120119120120120120120121120120120119118118118118118118118118119119119119119119118119118118119119119119119119119119117117117116115111110111110108108108109110111111110108110112999999999999999999999999999999999999999999999999999999999999999999999101105107110109105103102101100 99100100100 98 95 92 94 98102106108108109109111112111112113114114114115115115115114114113113113112112112111111112113114114114113113113113113113113113113113113113113113113113114114114114113113112113112112112112112112112113113113114113113113114114114114114115114115114114114114115114115115114114114114113114114114114114114115115115115115116116116116116117117117117117116116115115114114113112110109106104104104103103103104106107109109108108108109110111110111112111111111110111111110109108106105104103102100 99 99100101101102102103105107108110110111110111111110110109109108108108108109110109109110109108108108107106103 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999137139137133132128999999999999999999999999999999999999999999999 91 89 89 90 91 90 88 89 93 97100101102110113117117109105106110114115115115116116116115117118118118118117117117117117116117117117118117116115115115115115116116118117116116116116116116116117117117116117118118118119119120120120121121122121120119118117117117118118119119119119119119119119119119120119119119120120120120120119119118118117116115114113113113112110109109109109111111111110112114114999999999999999999999999999999999999999999999999999999999999999999107107107108105101 99 98 98 98 99 99100100 99 95 91 94100102107110110110110112112112113114114116116116116116116115115114114113113113112112111112113114114114114114114113113113114113113113113113113114114114114115115115115115115115114114114115114114113113113114114114114114114114114114115114114115114114114115114114114114115114114114114114115115115114114115115115115115116117117117117117117118118118118117117117116116116115115114111109108106104104104105105107107107108108108108109109110110110109108108107106106104104103102102102102101100100 99 99 99100102102102104106108110111111111111111110110109109108107107107108109109110110109108108106105102 98 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999130135139139137130126999999999999999999999999999999999999999999 95 90 89 89 90 91 90 89 90 94 97100104109118116113112111109108111115117117117118118117117118119119119119119119119119118119119118118118118118118118118118117118117118118117115114114113114115115117117117117117117118118119120120120121120120120119119119118117118119119120120119119119119119120120120120119118118119119120120120119118118117117117116116115114113112111110109109109110111111111112115115117999999999999999999999999999999999999999999999999999999999999999111107106103 99 93 89 87 89 93 94 96 98100 98 95 92 95100104107109110111111112113114115116117118118118118117117116115115114114114113112111111112113114114114114114114114114114114114113113114114114114114114114115116116116117117117117117117116116116116115115115115115115115115115115115115114115115114114115114115115115115115114114115115114115115115116115116116116116116116117118118117117118118118119119118118118117117116116116115114113112108105105104105106999105106107107107107107108108109108106105104103102102101100 99 96 96 95 98 99 99100100100100100101102103104105108109110111111111111111111110109107108107107108109109109110109107105102100 96 91 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999144147148145144999999999999999999999999999999999999999999 95 91 89 88 89 91 91 91 89 91 95 98104112111116114115114113112112114116117119120120119118118119119120120121121121120120120121121121121120120120120120120118119120119120120118116114113114114115116117117117117117117117117118118119119119120119119118119119119119119120120120119119118118118118119120120120119119118118118119120120119117117117117117117116116116114113112111110110110110111112112113115116115999999999999999999999999999999999999999999999999999999999999999108107104100 96 91 88 87 88 89 91 95 97 97 96 94 94 97101104108110111111112112114115116118119120120120119119118117116115115115114114113111111112112114115115115115114114114114114114114114114114114114114115115116117118118118118118118118118118118118118117117117116116116116116115116116115115115115115115115115115115116116116116116115115115115116117117116116116116117117118118118117117117117118119119119119119118118117116116116116116115113110107105105104105104103106107107106106106107108108107106105104102100100100 98 96 92 88 89 92 94 96 97 97 98100100101103103104105107109110111111111111110110109107107107107107108108109109109107105101 97 93 88 84 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999153154154157999999999999999999999999999999999999999999 93 91 89 89 90 92 92 92 91 93 99103109113116116117117116115114116117118119121122120119118119120121121122122122122122122122121121121122122122121122121120120120121121120120119117116115115115116116117117117117117117118118117118119119119119119119119119120120120120120121120119119118117118118119119119119119119119119120120121120119118117116116116116116116115114114113113111111110110111111112113116116114112999999999999999999999999999999999999999999999999999999999999102105100 96 93 93 91 91 91 92 94 95 96 95 94 95 97 99104107108111111112113113115117118119121122122121120119118117116116116116115115115114112112112113114115115116116115115115115114114114114113114114115116117118118119119119119118118118118118118118118118118117117117118118118117117117116116117117117116117117117116116117117117117117117117117117117117117117117117117117117117117117117117117118118119119119119118118118117117116116116116116113109107106105105105105106106106106106106106107107107107105103101 98 97 97 97 96 94 90 90 90 91 92 91 90 93 96 98 99101102104104105106106107108108108108107106104105105105106107108108108107103 98 94 88 84 80 80 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999137147999999999999999999999999999999999999999999 94 92 91 93 94 93 93 92 94 96104104110114116118118118118117118118119119120122123121120120121121121122122123123123123123122121121121122122123122123122121121121121122121120119119119117118117117117118118118118118118118118118118119119119118118117118118120120121121121121121120119118116116117117118119119119119119119119120120120119119117116115115115115114114113113113113113112111110111112113114116116115114999999999999999999999999999999999999999999999999999999 94 89 95 90 91 94 94 94 94 94 94 94 95 95 95 94 96 98102104107109110111112113114115116117119120121121121121120119118117116116115116116116116116115114113113113114115115116116115116116116115115115114113114115116117118119119120119119118118118118118118118118118118118118118118118118118117118118118119119119118118117117117117117118118118117117118118118117118118118118118117118118118118117117117118118118119119119118117118117117117116116116116116114111109107105105106106106105105105106106106106106106105104102 99 96 96 96 95 95 95 93 92 91 89 88 87 86 87 91 92 96 98100101101101101103101102103105104104104103103104105106106107106105101 95 89 83 82 79 77 78 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999137137135999999999999999999999999999999999999999999999 96 94 94 95 97 95 95 98 95 99103107112117118119119119119119119120120121122123123123121122122123123123123123123123123124123122121121121122122123123123123122122122122121121120120119119119119120119120120119119119120120119119119119119119119118118117118119120121122122121121120120119117116116117118119119119119119119119119118118118118116114114114114113113112113113113113113113111111110112113114116116115115999999999999999999999999999999999999999999999999999999 92 99 96 90 91 94 95 97 97 97 97 96 95 94 95 95 98101103107109110111112113114115116117118119119120120120120120119118117116116115116116116117117117117116115114114115115115116116115116116116116116115114114115116117119119120120120119118118118119118118118118118118118117117117117117116116117117117117118118118118118118118118118119119119118118119119119118118118118118118118118117118117118118118118118118118118119118118117117117117117116116116116115113111108106105105105105105104104104105105105105104102101 99 98 98 98 96 95 94 93 93 92 92 91 90 88 86 85 85 86 89 93 94 95 93 93 90 91 91 93 97 98 98100100100100102104104105106104 99 92 83 80 79 78 78 78 81 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999137135137999999999999999999999999999999999999999999103 97 97100 99 98100100100100103109115118119120121121121122121121121121122123124123123123123124124124123123123125123124123122120120120121123123123123123122123123122122121121120120121121121121120120119119119120121120120120120119119120119120119118118118119120121121121120120120119117117117118118119119119119119119119119119118118117113112112112113113112111110111111112113113112111109111113115116117115115999999999999999999999999999999999999999999999999999 96 97 94 91 89 91 94 97 98 99 99 99 99 98 97 97 97 98102104106108111112113113114115116117118119120119120119120119118117116115115115115116116117117118119119118117117116116116117116117117117117116115115114114115116117119119119120120119118118118118118118118118117117117117117116116116116116116116116116116117117118118118118118119119119119118119119118118118119118118118118117117118118118118118118119119118119119118118118117118117117116117117116116115113112109107106106106106106105105105104104104103102101101100100100100 98 96 93 92 91 90 90 91 91 90 88 87 87 88 89 90 90 89 88 87999 86 87 87 89 90 89 89 88 91 93100101102105105101 94 86 79 76999999 79 82 87 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999134138142142136999999999999999999999999999999999999999999999102101103104103103103103106107113116119120122124123124123123123123121123124124124124124124125124124124123123125124124124121120119120121122122123123122122122122122122122122121121122122122123122121120120121121122122122121121121121120121120120119119119119119120120120120120120119118118118119119119118119119118118119119119119118116113112112112111111109108107108109111112112112112109108110113114116114115999999999999999999999999999999999999999999999999 93 93 96 94 90 90 91 96 98 99 99100100100100 99 98 99 98100103105108111113113114114115116117117118118119118118118118117116115114115115115116116116117118118119119118118118118118119119119119119118117116115115115115115116118119119120120119119118118119119119119118118118117117117116116116116116116115115116116117117117118118118118119118118118118118118118118118118118118118118118118119119119119119118119119119118118117117117117117117117117117116116115115113112109107106107107107107107106106105105104104105105104104103102101100 97 94 92 90 89 89 90 91 92 92 92 92 92 92 92 92 92 90 84 84 84 84 85 85 83 83 84 83 86 90 94100101103103 99 93 86 82 80 80 82 85 89 89 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999139135144146149142150999999999999999999999999999999999999999999999106106105106106109110111116120123125126125125126126126125125124124124125126126125125125125125125124124124124123123122120119120120121121121121121122122123123122122123123123123123123122122122121122122122122122122122122122123122121122121121121120120120119120120120120120120119119120120120120119119119119119119119120120119118117115113111111110110109107106107108110111111110108108107107110112113113113999999999999999999999999999999999999999999999 84 89 92 91 91 91 91 92 94 96 98 98 98 99 98 98 98 97 98 99100101104107110112114115115115116116117117118118118117117116116115114114115115115116116116117117117118118118118119119119119119119119119118118117116115115115116116117119120120120119119118119119119119119118117117116116116116115115115115115115115116116117117117117117118118118118118118118119119119118118118118119119119119119119119119118118118118118118117117117117118117117117117117117116115115114114112109108107108107107107107107107105106106106106106106106105104103100 98 95 90 89 90 90 91 93 94 95 94 95 93 93 93 93 94 93 90 89 87 86 85 83 82 80 80 81 81 87 91 93 95 98 99 99 97 90 87 87 87 88 90 91 90 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999151147149147155157157159158999999999999999999999999999999999999999999121113109106111111115115117123124127129131130129129130129129127127127127128128127127126126126125125125124124124126123121120120120120121121121120121123122122122122122123123123124124124123123122122123123124124124123123123123123123123123123122122121121120121120121121121120120119120121121120120120120120120121121120120120119119116113110109107107109109105104106107107108108106105105105105108110113113113999999999999999999999999999999999999999999104 90 88 89 91 93 94 94 95 95 94 94 95 96 96 96 96 96 96 97 97 99101102103107111114114115114115116116116116117116116116115115114113113114115116116116116118118119119119120120120120120120120120120120120119119118117116116117117118119120120121120119119120119119119119118117117117116116116116115116116115115115116116117117118118118119118118119118118118119119119119119119119119119119118118117118117117117117117116117117117117117117117117117117117117116116115114113111109108108108107107107107107107107107108108108108108108107106105103100 97 94 91 91 92 91 93 93 95 95 95 94 94 94 94 94 94 94 94 93 91 88 85 82 80 81 80 80 81 80 82 86 91 91 93 95 92 88 88 89 89 90 88 87 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999153155155156160162164166164160999999999999999999999999999999999999999126110108106109112114118120123126129131132132132132132131130130129129128129129129128127127126125125125125124125124123122121122121121121122123123123122123122122122123123123123124125125125124123123123124124125125125125124124124124123123122122122122121121121122121121121121121120120121121120120120120120121121121120121120119118116113110108107107109109105102103102103103102102102103104105107109112113112999999999999999999999999999999999999 99104101 87 90 88 91 95 96 95 94 92 90 89 89 91 91 92 92 93 94 95 95 97 99100103106109112113114114114114115115115115115115115115114114114114114115116116117117118118119119120120121121120120120120120120120120120120119119118117117118118119120120121121120119120120120119119118118118117117117117116116116116116115115116117117118119119119118118118118119119119119119120119119119119118118118118117116116116116117117116116116116116117117116117117117118118117117116115115114111110109108108108108107107107107108109109110109109109109108106105104102101 99 97 96 96 95 95 96 96 96 95 94 94 93 93 93 93 94 94 95 95 92 89 86 84 84 82 81 79 79 79 79 78 81 87 89 91 89 88 88 88 88 86 85 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999158156156157157160162164166167166161162999999999999999999999999999999999999999999106110117119122122124126128129131132133133133132133132132132131131131131130129128127127127126126126125126125123123123123124124125127127127127126125126126126125125126125126126126125125124124124124124125126125125125125122120120119121122122122121122122122122121122121121121121121121120120120120121121121122121120119118116115111108107108108106103102101101101101100100101102102104106107109109108999999999999999999999999999999 96 95 94 94 90 88 87 86 88 92 92 90 87 85 83 82 82 84 84 87 89 91 92 92 94 95 97101103105108111113114114113113114115115115115115115115115115115115115116116117117117119119119119120120120120120120120121121121121121121120120119119118118118118118119120121121119118119120120120119118118117117117117117117116116116116115115116117118119119120120119119119119120119119119119118118118118117117116116117116116116116117117116116115116115116116116117117117117117117117116116115115114112110110109109108107107107107109109109110110110109109108105103101101101100100 99 98 98 99 97 94 94 93 92 92 92 92 92 92 92 93 94 93 94 94 92 89 87 86 85 83 82 82 81 81 80 80 83 84 88 90 90 89 87 85 84 82 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999157157155154154155158160162164167166165999999999999999999999999999999999999999121105110117119120121123125124125128132134135135135135135135134133133133133132131130129129128128129128128128127126125126126128128129130130131130130130130130129129128128127127127127127126126126125125124125126125126126124121118117117119121123122122123123122122122122122122121121120118117116116117118119120120120120119118117115112109108107105103102102101101100100100100100101102103104106106104 99999999999999999999999999999 86 90 89 94 93 92 91 86 89 91 91 89 86 83 82 81 81 82 82 83 85 87 90 91 91 93 94 96100103104107110111113113113113114115116117117117118117117117116116117116117117118118119119119120120120119120120121121121121121121121121121121120120119119119119120120120121121119119120120120120119118118117117117117117117117116116116115115117118119120120120120120119119119118118118118118117117116116116117117117117117117116116116116116116116116116116117117117117117117117116116116116115115114113111110109109109108107107107108109109109109109110107104101 99 97 97 96 97 98 97 96 96 97 95 93 92 90 90 90 90 91 91 92 93 93 93 93 93 94 93 92 90 88 87 86 84 83 82 84 84 83 84 84 84 85 86 87 87 84 83 82 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999153155156155150147146146148149152157161164166170999999999999999999999999999999999999999119112118117116119121121121124128131133135135136136136135135134134134134133133131130130129129129130130129129128127127128129130130130131131131131130130130130129129129129129129129128128128127126126125125125126127125124120117117117119120122123123123123123122121121121120119119116114112111110112114115116117117117116115114112111108107107105102102102102102101100100100101101102103106106105102 97 91999999999999999999999 85 88 90 89 89 88 88 88 88 90 90 88 86 84 82 81 81 81 80 82 84 86 88 90 91 92 93 94 97100102104108109111111112113115116118119119119119119119119119119119118117118118118118119120120120120121121121121122122122122122122121121121121121121121120120120120121121121121120119120120120120119119118118118117117117117116116116115116117118118119119119119118118117117117117117116116116116116117117117117117117117117116116117116116116116116116116116117117117117117117116116116116116116115114113112111110109109109108107107108109109109109109107104101 98 95 94 94 94 95 97 97 95 96 96 95 93 90 90 90 91 93 92 91 92 92 92 91 92 92 92 91 91 90 89 89 87 85 86 86 88 88 87 87 88 88 87 87 87 87 85 84 85 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999154155154150145141141141141142146149155161166167999999999999999999999999999999999999999999111114116117119119118119123127129131132133134135135135134135134135135134133132131131131131131131130130130129128129129129130130130130130130130130130130130130130130129129130129129128128128127127125125125126127125122120118116117119120122123123123123123121120118118119118116114113112111111111112113115116116114112112111110108107107106105104103103104104101101101102103104105106106105104103 99 92 90999999999999 86 89 88 89 88 83 82 86 87 89 90 91 89 87 86 84 82 81 82 81 81 83 84 85 87 89 91 92 94 96 99102104106108110112113114116118119119119120120120119119119120120120119119119119119119119120120120121121121122122122122123123122122122122121121122122122121121121121122122122122120120120121120120120119119119118118118118118117117117118118119119119119119118118117117116116116116116116116117117117118118117117117117117117117116117116116117117117116116117117117117117117116116116116116116116116115113112112111109109109109107107108108108109109108104101 98 96 95 95 95 95 96 96 96 97 96 94 94 94 93 93 93 93 91 92 91 91 90 91 90 91 90 89 89 89 88 88 88 87 87 89 89 90 89 90 91 91 91 90 88 87 87 87 88 89 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999153152149145141140140141141141142145150157163168176999999999999999999999999999999999999999110115117117119118116116119122124126126128131132133133134134135135135135134133133132132132131131131131131130130129129129129129129130129129129129129129130131131130130129130129130129129128128127125126126127128126124122120119118120122123123123123123121120118117117117116115115114113113113112112112112113112112111109109108107106106106105106106106105106105104104105105106106106106106105103 99 94 91 91999 79 88 86 88 88 87 82 79 81 84 89 92 91 89 88 88 88 88 86 86 85 85 85 86 86 88 89 91 92 94 96 99102104106109111112114116117118118118118119119120120120120120120120120120120120119119119120120120120120120121121122122122123123123123123122122122122123123122122122122123123123122120121121121121121120120120120119119119119119119119119119119119119119118118118118117117116116116116117117117116117117117117118117116116117117116116116116116116116117116116116116117117117116116115114113114113114115115114113112111110109109109109109108108109109108105102 99 97 96 95 95 95 95 95 95 95 94 93 94 94 94 95 95 95 96 95 94 93 91 91 91 92 91 91 91 90 89 88 88 88 89 90 90 90 91 93 93 92 92 92 91 90 90 91 91 94 98 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999151151146143143142142143142141143145151155162167999999999999999999999999999999999999999999109112117118119118116115115116118120123126129130131131133134135135135135134134133133133132132132132132132131131131131130129129129128128128128128128128128129130130129130129129129129129129128126126127128128128128126124121120121122124124124123123122121120119118118118117117117117115113112112112111110110110110109108108106106106108108108108107108108108108107105105106108108108108107107104102 96 92 89 78 81 82 85 84 83 82 80 79 80 85 90 92 90 89 91 92 93 94 92 92 91 89 89 90 91 92 93 95 97 99101104106108111112114117118118118118118118118118119120120119119119119119119119119119119119119119119120120119120119120121121122122123123123123123123123123123123123123123123123123123122121121122122121121121121121121121120119119120120120119120120120120120120120119118117117116116117117117117117117117117117116116116115115115116116116116116116116116117116116117117116117116115114112112110109109109110112113114113111111110109110109108107108108107105102 98 95 95 95 95 95 96 96 95 94 93 94 95 96 96 97 98 99 99 99100100 99 99 98 97 97 96 95 95 94 93 92 91 91 91 92 93 93 94 96 97 96 95 96 97 95 97100101103104 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999150151151146143143145145144144143143146150154159999999999999999999999999999999999999999999999109110116118118119117113112113115118120123126128129129132133134134134134134134134134134134134134134134133134134133132131130130130130130130129128127126126127127128129129129130129129129129128127126127128128128128127126123122122124125124124123123122121121120120121122122123122120118113112112112111110109108108108107105105105108110111110111111112112111110109106999104105106107107106105104102 98 88 84 85 83 83 82 82 81 80 79 80 82 88 92 92 91 94 98 99100100 99 98 96 96 96 97 96 97 98100103104106107108110113114117118118119119119119118118119119119119119119119119119119119119119119119119119119119120119119120120120121122122122123123123123123123124124124124124124124123123123123122122123122122122122122122122122121121121121121121121121121121121121121121120118118117116116116116117117117117117117116115114114114113112114115114116116116117116116117117117117116115115114113111110108107106106106106107110112111110109108108108108108107108106102 99 95 95 95 95 95 95 95 94 94 94 94 96 98 99100101102102103102102102102102103102101100100 99 98 97 97 98 97 98100100100102101103103103103104106107107108108109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999151152150144144145146146147146145146148150152156999999999999999999999999999999999999999999999999110114116117118116112111112113115118121124126128129130132132133133133134134134134134135136135135135135135136135134133133133133132132131129126125125125125125126127128128128129129129129128127126127127128128128127126125124124124125124124123123122121121121122123124124123122121118114111111110109108107107107106105104105105108109111111111112113112111111110107103101102103104105103999999999 94 91 88 88 86 85 84 84 81 80 80 82 85 90 93 93 95 99103105108108106104102102101101102102104104106108109111112113115116116118118119119119119119119119119120119120120120120120120120119119119118118118118119119119119120120121121122123123123123124124124125125125125125125125125125124124124124123123123123123123123123122122122122122122122123123123123122123122123122121118118117117117117117118118118118118117117116116116115114114114114115116116116116116116116116116115114114113112111109108107105104104104103103106109110109108108108108108108108107104100 98 96 96 96 96 95 95 95 95 97 99100100101103103103103104104104103104104104104103104104103103102101102102103105104104105105106106107107108108109109110110110111 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999151151147143144146147148147147148148148150152155999999999999999999999999999999999999999999999999111113115116115114111112113113114116119121124126127129130130131131132133133134134134135136137137137137138138138137136136136135134133130127125123123123123124124124124126127127128129130129127126126127127128128128127126126125125125125124124123123122121121122123123123124122120116112110109107106105104103104104103103104104105107108109109110110110110109109106103102102101999999 97 97999 89 89 90 89 87 85 85 84 84 81 79 81 83 87 92 94 96100104107110111111110110110109110109109110110112112113114115116117117117118119120120120120119119119119120120120120120120120120120119118118117117117117117117118119119120120121121122123123123124124124124124125126126126126126126125125125125124123123123123123123122122122123122122122123123123123124124124124124123122121119119117117117117118118118119118117118117117116116115114115114115116115116116116116116116115115114114112112111111110109107105104103102102101103106108107107108108109109108108106102 99 97 96 96 96 95 96 97 98101104104104104104104105104105106106105106106106106105105106107107107107106105104105105107108109109109109109110111111112112112113113114 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999149152151147145145146147147148148149148148150152158999999999999999999999999999999999999999999999999111112113114114113112112113115115116117119120124126128129129130131131132132133134134135136137138138138139139139138138138137135133131129127124122123122121122122122123124125126128128129129128126126127127128128128127128127126126126125125124124124124123123123123123123122121118113109108106105104103103102102101101102102102103102103104105106105104104106106104102102100999999999 94 94 92 90 90 88 87 86 85 85 83 82 80 80 84 87 88 92 95 99102106109112112111111113114115115115114115116116117117117118118118118119120120120120120120119120120121121121121121121121120120119119118117117117117117117117118119120120120121122123123124124124124125125125125126126126126126126126126125124125124124123123123124124123123123123123123123124124124124124124124124124123121120119118117117117117117117117118117117117117116116116116116116115116116116117116116116115115114113112112111111111110109108107106103102101102104105107107106106107108108108106103101 99 98 97 97 97 98100102104107108108108108109109107107107106107106107107107108108108108108108109109109109108108108109109110111111111112112113113114114114114115115 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999151151146146148146147149149149149149149150155158999999999999999999999999999999999999999999999999108108113114113112112112114116116118118118119121123125127128129130130131132132133134135136137138139139139139140140139139138136133130128126124123121120119119120119120122124125127127128129128127126127129129129129128128128127126125125125125125125125124124124124123123122120116110108106104104103103101101101101101101100100 99 99101101102102101100101102100 98 99 97 95999999 86 89 89 89 89 88 86 85 85 85 83 81 79 79 81 85 89 90 92 94 98102105108110110111111113114115117117118119119119119119120120120120120120120120120120120119120120121121121121121121121120120119119119118118118118118118118118119119120120121122123123124124124125125126126126126126126126127126126125124125125125124124124124124124125125124124124124124123124123123123123123123123123122121120119118117117116117117117117117117117117117117117117117118117117117117117117117116116115114114112112111111111111111110109107106105103103105106106108108107107107108108106103101101 99100100102102103104106106106107109109110110110109109108108108109109108107107108109109109109110111111111111110111111112112112112113112112113114114115115115115115 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999150150147148150151150153150150151150150151155159163999999999999999999999999999999999999999999999999108112114112112112113116118118119120120120120122123124125126127128130131132133134134135136137138138139139140140140140139137134130127125124121120120119117117117119121123124126127127128129128127127128128128128128128128127127126126126126126126125124124124124123123122119115109107106105104103104103101100100100100 99 98 99 99 99100100 98 97 96 94 95 94 93 93999999999999 85 87 88 87 87 86 86 86 85 84 83 85 88 88 89 91 90 92 93 94 96 99101103105107109110112113115116117118118118118119119120120120120119119120120120119119119120121121121121121121121120120119119119119119119119119119119119120120120121122123123123124124125125126126126126126126126126126126126125125125124125125125124124124124124124124124123123123123123123123123123123123123123123122121120119118117117117116116116116116117116117117117118118117118118118117117117117117116116115114113112112112112111111111110110110109108108108109108108109109109109109108107104102102102103104105106106107107107107107108109109109110110111111109109110110111110108109108108108108109110111112111112112112112113113112113113113113114115115115115115115115 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999149150148150152153153153151152152152152153155157161999999999999999999999999999999999999999999999999109109110112113114115118119120121121121121119120120122122123125127129131132133133134135135135136136138139140140140141140138134129126125124123122121120120119119120122123124125127128129129128127127127127127127127127128128128127127126126126125125125124124123123123122120116110107105104104106107103 99 98 98 99100 99 97 97 97 97 97 96 93 89 87 82999999999999999999999 83 86 88 88 87 86 86 86 86 87 92 95 96 97 97 98 98 99 99 98 97 97 98 98 99102103105106109110111112114115116117118118119119119119119119119119119119119119120121122121121121121120121120121120120120120121121121121121121121122122122123124124124125125125125125125125125125125125124125125125124124124125124125125125124123124124124124124124124123123124123123124124123124123124124124123122120120118117117117117116116116116116116116117117117117118118118118117117117116115115114114114113113114114114114114113113113112112111111110110109110110110111110108107105103103104105107108108109110110109110110110110110111111111111112111111111111111111111110109109110110110111112112113113113113112112113113113113113114115115115115115115116116116 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999150150150148148147148151151151152152153155158160164999999999999999999999999999999999999999999999999999108109112114115118120122123123124123122120120120120121122125128130132134134134133134134134134136138139140142143143142139134129127126126126124123122122122122122123123124125127128129129128128127127126126125126126127127127127127127126126126126126125125124123122122121118113110108107109111109102 98100100102103103 99 96 96 95 96 93 88 82 79 74 71999999999 80 82 83 86 88 89 89 87 86 86 87 87 92 99103103101103105108108108107106106106104103104104101103105106108110111112114115116117118119119119119118119118118120121121122122123122122121121121121121121121121121121122122122122122122122122123123123124125125125125125124125125125125124125124124124125125125125125125125125125124124124124124124124124124124124124124124124124124124124125124125124124123122121119118118117117117117117116116116115115116116117117117117117117116115115114114114114113114114115116117117116115114114113112112112113112111111111111111109108107106105107109111111112113113113112112113113113113113113111111111111111111111112112113113112112112112113113114113112113114114114114115115115114114114114114115115115114115115114114 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999153151150149149149150152150152153153155159161162999999999999999999999999999999999999999999999999999108109113115117119121123122124126125123122121121120120122126129131133134135134133133133133135136138140142144145144143141136131128129130129128126125124124124124124125126127128129128129127128127127126126126126125125126127127127127127127127127126126124123123122120120120117115114114114114110103100101104106106106104100 96 96 96 93 88 83 77 71 71999 81 83 85 86 88 90 91 92 91 90 87 87 89 90 95100104104104109111111112113112112112111111111110110109107107107106106109110112113114116118119120120119119119119119122122122122122121121121121120120120120120121121121121122122123123123123123123124124124125125125125125125124124125125125124124124124125125125125125126126125125125125125125124125124124124124124124124124125125125125125125125125125125125124123122121119119119118118118117117117116116116116115116116116116115114114113113113114114114115116116118118119119118117116116114114113113113113112112112112111109110109110110111113113113114114115115115115115114115114114114113113113114113112112112112113113113113113114114114114114114114114115114115115115114114114114114114114114114114114114114114 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999156156155155153151152152154152152155156158160163164999999999999999999999999999999999999999999999999999999110114116117119121122122124127127126124123122120120122126129132133134134134133133133134135139141143145145145144144142138134131130131132130128126125125125125127128129130130130130131130130129128127126125124123124125125126127127127127127126125122121120120119120119119119119118117115114111107105103104106107108109106101 96 95 93 89 84 78 74 73 76 82 86 88 89 91 92 94 94 94 94 92 91 91 93 96101104108111113113114113112111111111111110111111110110109110109108108107109110110111114116118119119119119118118121121122122122122121121121121120120120121121121121122122123123124124124124124124124124125125125125125125125125126126126125125125125125125125126126126126125125125124124125125125125125125125125125125125125126126126126125125126125125125125125124124122121120120119119119118118118117117117116116116115115115114114114115114114116116117118118118119119120120120120118118115115114113112113113112112112111112112111112113114114114114115116116117117118117117116115115115115115115115114114114113113113113113114114113113114113114114115115115114114113115115114114115114114113113114114114114114114 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999155157158159158158156155154155154154157159161163165164999999999999999999999999999999999999999999999999999999999113117117117120122122126128128128126125123121120123126129131133133133133132132133134136140143145146145145144144143141139136133132132131128127126126128129130131132132132134134134133131129126124122120120120121122124125126127127126126123120119118117117117119119119119118117115113111110109107105105106107109109104101 99 96 95 91 88 85 81 82 85 88 90 91 91 93 96 98 98 97 96 94 93 94 96100105109111112113113112111110110109110110110110110110110109108109109110110109110109110113115118119119120119119119122123123123123122122122121121121120121121121122122123124124124124124124124125125125125125125125125125126126126127127126126126126126126126126126126126126126125125125126125126125126125125126125126126126127127127127126126126126126126126125124125125124123122121120120120120119119119118118118117117117117116116116116116116117118118119119119120120120121121121120119119117116115114113113112112112113114114114114114115115115115115116117116117118119119120120119119119118117117117117117116115115114114114114115114113113113114114114114115115115115115115115114115115115115114115114114114114114 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999157158160159159158157157157156157160162164167167166999999999999999999999999999999999999999999999999999999999112115116116118121122126128129130128127125123124124128129131132132132132132133134136141143145146147146146145145144143143140137134133132130129128128130130131132133133135135135135134131129124122119117118117118120122124126127127126124119116116115116115117118118117116115112110109107107107106105104104105105104 98999 96 95 92 90 89 88 85 86 88 92 93 93 93 95 99100 99 96 96 95 98100104108110111112112112111110109108109109108108107107108108109110110109109109110110108109110113115118119119119119119121123123124123123123123123122122122121121122122123123124124124124124124125125125126127127127128128128127127127127127127127127127126126126126126126127127127126126125125125125125125125126126126127127127127127128127128127127127127127127126126126126126126125123122122122121121121119120120120120119119119118118118118118118118119119120120121121121121121121122122121121120120119117116116114114113113113114114115115116116115115115116116117116116117118119120120121121121120120121120119119117117117116117116116116115114114115114115114115115115115114115116115115116116115116115116116115116115116 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999157158160160160159158157157158160163165166168168167999999999999999999999999999999999999999999999999999999999999107112114115119121124128131131130129127126126127129129130131132132131132133135137141144146148149148147147146145144144142140136134133132131130130131131132134135135136135135135134130126123120117116116117117118119121123125125124120115115115115114115115115114113111109107105103103104103104104105104104104101 96 92 91 88 83 80 79 83 85 88 91 93 93 92 91 94 98100 98 96 98102106109111112112112112112112111109108108108108107106105105106107108109110110109109109110108109110112115118119119120120120123124124125125124124124124124123123123122123123124124124125124124125125126127128129129130130130130130130129129129128127127128127126126126126126127127127127126126126126126126126126126126127127127128128128128128129128128128128128128128127127127127127127126125124124123123123122122121122122122121121121121120120119120121121121121122123123124123122122122122122122122122122121120119118117116116115115116115116116117116116116116117117117116116117118119118119120121122122122122121121120119118118118118118118118117117116116115115115116115115115114114115115116115115116116116116116116116116116 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999158159160161160159160160158159162165167168169168167999999999999999999999999999999999999999999999999999999999999117108111113118121124129132132130129128128128128129130130130130130131132133135137140144147148148148147146146145143143142140137134133132132132132134135135136136136135134134134131127124122120117116116117118117118121122124124123119115115115116116114112110108107107107106103102101102101101101103103104105 99 93 87 82 78 76999 72 79 85 89 91 90 88 87 88 94 98 98 98102106110113114113113113112112112111111109108109109107106105105105105107107109110111110109109109109110111113117119119119120121122124124125125125125125125125124124124124123123123124124124124124125126127128129130131131131131131131131130130130130130129128128128127127127126127127128128128128128127127128127126126127127128128129129129129129129129129129129129128129129128128128128128128128127127126125125124125126126126124124123123124123123121121121123124125125125126125125125124124123122122122122123122122121120118117117117116117116117116117117117117117118117117117117116117117118119119120122123123123123123123122122122121121120121121120120119118118118117116116116116114114115115115115115115115114115115114115115116116 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999158159160160160159159159159160163166167168168167999999999999999999999999999999999999999999999999999999999999999114115107110115119122127129128127128128127127128130130130130130130130132134136138142145147148148148147146145145144143141140137134133133134136136137136136136135135134134133135132127123122122119117117118118118119120121122123123119116115116115113109108109109108109109107103102102101101101101103105107107104 94 83 75 74999 72 76 82 87 88 88 86 84 85 89 95 98102107110113115116116115114113113112111112111109109110110109106106106106107107108108110111111111110109109110111115118119119120121121122123124124124124124125125125125125125125124124124124125125125125127128129130131131132132132132132131131131130130130131131131130128128128128128128128129129129129129129129128128128127128128129129129130130130130130130130130130129129130129129129129129129129129129129129127127128128129128127126125125125126126125124123123123124125126126126126126126125124123122122122123123123122122121119119118118118119119118118119118118118118118118118118118117117118119119120120122123124124124124124124124124124123123122122122122122121121120119118118117117116115115116116116115116116116115115115115115115115 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999157158159160161161161161161161162164166168169169167999999999999999999999999999999999999999999999999999999999999999999112108107110116119123122122124126126126127128129131131131130131132133135137140144145146147147147146146146146145142141139136134134135136138138138137137135132132133132134134134130125124123122119118118118119120120120121123123121119116115114112110110110110110110111110106103102102102102103105107108107103 97 84 74 71999 75 80 85 88 87 84 83 84 89 94 99104110113115117119120120119118116114113112112112110110111111110108108108107107107108108110111112111110109108111113117119119120121122122123123124124125124125125125126126126126126126125125124125125126127128128130131131132132133133132132132131131131130131131132132131130129129128128128129129130130130131131131131130130130129129129130131131131132132131131131131130130130130130130129130130130130130130130130130130130130129129128128128127127126126126126126125125125126126127127126127126125125124123122122123124124123123123121120120120120121122121121121120120120120119120120118118118118119120120120121121123123124124125125125125125125124124123123124124123123122121120120120120119119118117117116116117117116117116117117117117117116 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999155156157158160161162163163163163164165167168170170168999999999999999999999999999999999123131132131128127135140999999999105106106107113115119119120124125125126128130130131132131132133134135137139141144145146146147147147148148148146142140138137135136137137137138137138137134131131132132134134134131128127125123121119118118118119119120122123123122120118116114113112111112112112112113113112108106105104103103105104103101100 94 83 73 73 78 78 82 88 90 88 85 85 90 95 99106112116119121122123124123123122120117114113113112112111112112111109109109109107108108110111111111110109109109113116117119120120121122124124125126126127127127127127127127127126126126126126126125125126127128129130131132132132133133132133132131131131131132133133133132131131130129129129129130131130131131131131131131131131131131131131132132132133133133132132131131131130131130130130130130131131131131131131130130130130130130129128128128128127127127127127127126126127127127127127127127126125124123123122123124124124125124124123122123123123123124123123123121121122121121121120119119119120120120120121121123123125125125126126126125125125124125124123123122123123123121121121121120120119120120119117118118118118118117118118117117117 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999156157154155159162164164164163164165168169171169168999999999999999999999999999115132139144148148145140142145146145999999102105106109113117117120125127127127130131131132132133134136137138139141142144145146146146148149150150150148144140138137136136136137138138138138136134132132133133133134133132129127125124123121120119118119120120120121122122122120119117116114114114114114114114114114114114112110108106105 98 98 97 93 86 75999 72 78 80 82 86 89 86 86 91 95101106113118121122123124123124124124124123121118116114113112111111111111110110110109109109111111111111110109109109113117118119120121121123124125126127128129129129129129129128128128127127127126126126126126127128128129130131132133133133133133132132131131131132133133134134133132132131130130130130130131131131131132131132132131132131132132132132133133133133133133132132132132131131131131131131131131132131132132132131130130130130130130129129128128128128128128128128128127128128128128127128128127125124124123123123124125125125125124124124125126125126125124124124124124124123123122121120120120120120120121121121122124126126126126126126126126126125125125124124124123124123123123123123122122122121121121120120119118119119118118119118118117 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999154156156155155157160163163164163164165168170171170170999999999999999999999999117122140144147151152151147149152153148144139110103105109111113115119126127128130133133132133135136137139140141142143144144145146146147149151152151150149145142140137137137137138139139140139137135133132132132131130130128127125125124123122121121120119119119119119120121122122121120119117117116116116116115114114113114113112111108 99 93 92 92 89 79 72 74 75 81 83 84 84 86 86 90 97104108113118121122123123122122122123123124124124122119117115113112111111111111111111111111111111111111110109109109114117118119120122122123125126127129130131131131131131131131131131130130129128128127127127127127128128129129130131132133133133133133133132132132133133134134135134133133132131131130130130130131131131131132132132132132132133133133133134134134134134134134133132132132132132132132132132132132132132132132132131131131131130130130130129129130130129128128128128128128128128128128128128127125124124124123124125125125125125125125126126127126126126126126126126126125125124123122121121121121121121120121122123124126126126126126126127127127127126126125125125125125125125124125124123124123122122121120120120120120120119119119119119118 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999157157157157158162163164164164165167169170171170999999999999999999999999999999132141146151153154153152154157158151147144141117104108110111114118125127129132135135134135137138139141142143144144144145146146147148151152151150150148146143142140139139139140141142142141139136134133133133133133132130128127126125124125128129126124123122121121119119120120119118117117117117117117117115113111109110109111111103 92 85 83 82 83 74 74 78 81 84 84 82 82 82 87 95104112115118120122123122122122121121122123123124125125123121117115113112111110111111111111112112111111110108109111116117119120122122123124125126128130131132133133133134134134134133133133132131130130129128127128128128128129129130130131132132132132132132131131132133134134134134134134134133132132131131131131132132132132132133133133133133133134135135135135135135135134134134134133133133133133133133133133133133133133133132132131132131131130130131131131130130129128129129129129128128128128128128128126124124124124124124125126126127127127126127127127127126127127127127127127126127126125124123122122122123122123123123124125125126126126127127127127127127127126127127127126126126126126125125125125124124123122122121121120120120120120120119120118 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999160160160160160161164164164165165166167168169170999999999999999999999999999999132139143148151153153153153154156158159151148147140999107109109112116124129133135137137137137138139140141143143144144144145146146147150152151150149149148146144143142141142143144144145144143141137135134134134133133134134133132131131131132135136135133133131128127123121119119117116115115115115116116115113108104102104103103105 95 84 73 71999 77 77 76 79 82 83 81 77 77 82 91102111116119119121123122122122121122122123124125125126126126125122118116114113112111112111111111111110110111112115117118119121123123124125125126128130132133134134135135135135135135135135135134133132131131130129128128129129129129129130131131131131131131131130131132133134134134134134134134134134133133132133133133134134134134134135135135134134135135136136136136136136136136135135134134134134134134134134134134134133133133133133132132132131131130130130131131130130130130129129129129129128128128129129127126125125125124125126126127127127127128127127128127127127128128128128128128128127127126126126125125125125124124125125125125126126126126127128127127127127127127127128127127128127127128127127126126125125123123122120120120120119120120120119119 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999161162162161161162164164163163164165166167167169169999999999999999999999999999999142146149151153155155155155155156156157158149149144135113107108111115121129137140140139139140140141141142143145145144144145145146149152152151150149148148146145144144144146146147147147147145143138136135134133133133133134134134135135136137138139139138137136135132129126123120118117116116116116114113113107103102101102 99 97 91 83 74 70 70 74 78 78 79 80 89 81 76 73 76 84 96107114119121121123123123122121122124124124125125126125126127127126123119116116114113113112112111111112113115115118119119120122123123124126127128129132133134134135135136136136136136136136136136135135134133132131130130130130130130129129130130130131130131131132132133134135135135135135135135135134135134134134134134134135135136136135136136136136136136137137137136137137137137136136135135135135135135135134134134133132133133133133132132133132131131131131131131130130131131132131131131131131131130130130128126126125125125126127127127128128128128128128128128128128128129129128129128128128128128128127127128127127127126126125125125126126127126127127128127127127128128128129129129129129128129128128127127126126125124123122121121120120120120121120120 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999160158162163163164164163162163163164166167168169169999999999999999999999999999135149153153154157158159158158157156155156155149143134125114131107109113119129135140140139140141141142142144144145145146145146146148152153152150149149148148147146146147148148147146146146146146144140137135135134134134135135136138139140141141141142141140140139137134132130127123121119118119119117115112111105104104103105105103 94 82 74 73 74 77 80 80 80 80 80 77 72 74 80 89104113119121122123123123123122123124125126126126127126126126127127127126124121118117116115113114114114114116117118119119120122123124125126128129130131133133134135135136136136136136137137138138138137137136135135134133132132132131131131131131131131131132132132133134135135136136136136136136136135135136136136135135135136136136137137137137137136137137137137137137137137137137137137136136135135135135135135135135134134133133133134133133133132132131131131131131130131131132133133133133134134134133133132131130127126126126126127126126128128128128129129129129128129129129129129129129129129129129129130129129129129128128128127127126126127126126126126127127127127127127128128128128129129129129129128128128128127127125124123123122122120120121121121121121 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999159157162164164164164164164164163163164166168170169166999999999999999999999999149154155156156158159159159159157154153150145140133126116113117108108112118126134139139139140141142143144144145146146147147147148151155154153152151150150150150150149150150149148147147146146146145143139137136135136137138139140142142143144144143141140139139138137136134133130127124123122122121119116114111109108106107108110109100 89 77 76 78 82 84 83 80 79 78 77 73 73 81 93107116120122123122122123123124125125126126127127127127126127127127128128127125122120118118118118118119119120120121120121122124125126127129130131132133134134135135136137137137137137137138139139139139138138137136136136135134134133133133132132133133133134134134135136137137137137137137137137137137136136136136136136136137137138138138138138138138138138137138138137137137137137137137136136135135135135135135135135134133133134134134134133133133132132132131131131132132133134134135135135136135136135134134133130128127127127126126126126127127127128128129129129129129129130130130129130130130131131131131131130130130129130129128127128127127126126126126126126126126127127128129129129130130129129129129128128127127126125125124123122121121122122121121121121 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999158159164165165164165165165163162162164167168170171168165999999999999999999144150154156157158159159158157156155153150145141136130120113111120111110113118124133137139139141142141142144146147147147147147148150152155155155154154154153152152151152152152151150148148148147148148146144141140139140141142143144144143143141139136134133131131134135135134133131129126125124123122122119116115114114112111112110107100 86 78 80 84 86 87 85 80 76 74 75 75 76 85 96108117121122123122123123124125126126126127127128128128127127127127127128128128126124122121121121121121122122122123123124125126127129129130131132133134135135135136136137137138138138138139139140140140140139139138138137136135135135135134134134134134134135136136137137138138138138138138138138137138137137137137137137137138138138138138138138138138139139138139139138138138138138138137137136136136136136135135135135135134134134134134134134133133132132132132132133133133134134135136137137137136136136135135135133130128127127127127127127127128128129130129130130130130130131132132131131132132132132132133132131131131131130130129129128128128126125125126125125125126127128128129129130130130130129129129129128128127127126124124125124122122122122122122122121 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999159160160164166166166166166166164163164166168168169171171168999999999999999999142153156157157158158157156154154154151146143140137129121112117117110113113116122131137140140141143144144147148150151150150148148150151154155155155155155155154154153152153153152151149149149149149149148146144143142143144146145144142139135132128124121121121124125129131132132131130127125123121120121122121119118117116114110105102 96 83 78 84 87 89 88 84 78 79 75 78 80 82 92103113119122123123123124125125126126127127127128128128128128128128128128128128129129128125124124124124124124124124125125126128128129130131132133134134135135136136137137137138138139138139140140140141141140140139139138137137136136136136135135135135136136136137137138138139139139139139138139139138138138137138138138138138138138138139139139139140140140141140140140139139138138138139137137137137136136136136137136135135135135135134134134134134133134133133133134134134134134134135136138138137137137137136137136136133131127127127127128128128128129129130130130131131131131133133133134134134134134134134134134135134133132131131130129129128128127126126126125126126126128129129129129129130130130130129129129128128128126126124125123122122123122122123122122122 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999157159161160162163165166166167167167166166167169169168168170172172171999999999999141151156156156156156155154153152151149146143141139133124116110109112126120114118124130135140141143146149151153153153153153152151150150152154155155156156156155155154153153154154154152151151151151151150149148147146146147148147144139133128123117113108107108110114118123129130131131130127124121120119120119120120119118116109103 99 97 95 89 86 87 87 87 88 85 79 78 75 79 79 86100109116121124124124123124125126127127127128128129129129129130129129129129129129129130129128127126125125125125126126126127129129129131132132133134135135135136136136137137138138139139139139140141141141141141141140140139139138137137137138137137137137139138139139139139140140141141140140140139140140139139139139139139139139139139139139140140141141142142142141141140140140139138139138138138137137136136136137137136136135135135135134134134135134134135135134135135136135135135135136137138138138136138138137137137137135134130129127128128128128128128129130131132132132132133133133134135134134135135135135135135136136134134133131130130129128127127126127127127127127127127129130129130130130131130129129129129129128127126126125124123123122122122122122122123123 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999156158160162164165166166166166167166167168168168169171171170170171172172172999999999999148154156155155154154152150149148146144140140137132126119114112113116126119115117123130134139141147153157156154152152153154154153151151152155156157157156155155154154154154155155154153152152152152152153152151150150149149148147141133126119113109106106113108113107111118124128129130130128124121119118118119119118115112103 96 91 92 92 94 93 90 88 87 86 87 84 88 82101 87 83 92108116120123125125125125126127128128128128128129129131131131132131130130129130130130130130129129128128127127126127128128129130130131132132133133134135136136136137137137137138139139139140141141142142142142141141141140140140139138139139139139139140141141141141141142142142142142142142141140140141140140140140140140140140140140140140141141141142143143143143142141140140140139139138138138137137136136136137137137136135135135135135135134135135135135136135135135136136136136136136137138138138138138138138138138138138137135133131128128127128129129129130130131132132132133134134135135136135136136136137136135135136135135135133133132131129128128128128128128128128128127127128129130130130130131131130130130130129128128127126125125124124123123122123123123124124 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999156158161163165167168168167167167167168168169169169170173173171171173173173173999999999999153155156156155153151150148148148148145142138134127122117116115115120118117120119122129135140145154158158156152151150151153155155152151153155156158158157156157157156156156156156155155154154153153154154153152151151150150149145135126119113109106102112122120109105109116121126129129129127123119118115114115113107 99 94 82 74 81 85 90 93 94 91 91 90 87 86 83 86 74 77 84 94103114119122125126127127127128128129129129129128129130131132133133132131131130130130130131131131131131130130129129129129130131131132132132133134134135135136137137137138138138139139140141141142143143143143142142142141141142141141141141142142143144146146146146146147147147146145144144144143142142141141140140140141141141142141141141141142142143143144144143143142142141141140139139139139139138138137137137137137137136136135135135135134134134135136136136136137136136136136136136137137137138139140140139139139139139138138137136135133131129129130130130130131131132132132133134135135136136136136136136136136136136135136136135134134133132131130130130129129129128129128127128129129130130131131132131131131131131130130129128128127126125124124124124124124124124124 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999154158161163164166168168168167167167167167167166168172174175174174173174174174173999999999999157156157157156153151149148148148148144142137129125121122120120119120121120120121124129135141149155159158155152150150150152155155152151153155157159158158158159159159158158158157157156156156155155155156155153153153151151150143132121119112107104103107122121107104109116121126127126126120116113109106107102 93 84 80 77 75 77 81 87 91 92 93 93 92 90 88 86 80 74 75 83 91101112117121123126128129129129129129129129129129129130131133134134134134133132131131131131131131132132132133133133132132131132132133134135135135135136136137137138138138138139139140141141142143143144143143143143142142142142142143143144144145146148148148149150151151151151151151149148147147146145143142142141141141142142142143143143143143144144145145145145144144143142141141141140139139140140140139138138137137136136136136136135135135134134135135136136136137136136136137136136136136137138139140142142142142141141141140140139138137136134131130130129129129130131132133133134135136137137137136136136136136136137137137137136135135134134133132132131131131130130130130129129129129129130130131132132132131131130131130130130129129128128126126124125125124124124125125 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999156158160162164165166166168168168167166166167166166167171176176176175173172173174174999999999999999158157156156155153151150148148148148146142136131129126126125125127127126125123127128132138142148153157159156154151151152153155154152152154156157159159159159160159159158158158158158158158157157157156156156155154153152151150143132121118116109106105106113108106110116121123124123121117109106103101102102 98 87 77 75 72 75 79 85 87 89 89 89 90 89 87 86 84 78 76 76 86 97107116118121124127129129129129130130130130129130130131133134135135135135135134133132132132133132133133134134134134134135134135135135136137137137136137137138138138139139140140140141142143143143144144144144143143143143143144144145146146148148149149150152153154154154154155154154153153151150148147145144144143143143143143144143144143144144144145145145145145144143143143142142141141140140140140140140139139138137137137136136135135135134134134135135135136136137137137137136136137136137137138139140141142143143142143141141142142140139137135133130130130130130130130132132133134135136137137137136136137137138138138138137138138138137135136136134133133132132131131132131130130131130130130131132133132132132132132131132131130129129128128128127126125125125124125125124 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999155158161162165167167167168168167166165165166166166169173177177177175173172173174175999999999999999156157156156156155152151150151150149146142138136135135135137138138138137133130129130133138142145149154158158156154154154155156155153154155156157158159159160160160159159159158159159159158158157156156156155154154153152151149144134123119119116114113111111111115118122123122122118113105104101 99 97 97 95 91 87 80 76 75 82 85 93 94 96 95 94 93 90 87 86 82 78 77 81 89100110115120124125127128129130131130130130130129129130132135135135136137137136135134134133133133133133133134134134135135135136136137137137138137137137137138139139139140140141141141142143143143144144144144144144144144145145146147148148149149150151152153154153154155155155156157157156155154152151149147145145144144144144144145144144144144144145145145146146146144143143142142142142142142142142142141141140138138137137136136135135135134134134135135135136136137137136137136136136136136137137137138140142143143143143143144143142142141140139137135132131131131131131132132133134135136137137137137137136137138138139139138139140139139137136136135135134133133132133133133132131131131131131131132133133132132133133132132131131130129129129128128128127126126126125126125125 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999155158160162165166167167167168168167167166165165165166170173176177179178176174171173999999999999999999155156157157157157155152152151149148146143141139140142146150151150148146141137135134135137141147149153158159159157157157157157156156155156156157158158158159160160159159159159159158158158157156155155154154153152153152151148143136125121121119120121120119117117119120121121121115108107107104103100 93 86 83 81 79 75 80 92 98103106106106103100 98 95 93 89 85 81 86 90103111115119124126127127129129129130131130130130130132133135136137137137138137136136135135135134134134134134133134135135136137137138138138138138138138138139139140140140141142142143144143143144144144144144144144145145146148149148148149149150150151152153153153154155156157158158158159158157155153151150147144145144144144143145145144144144144145145146146146146145143143142142143143143144144144143142142141140139138137136136137137137135135135135135135135136138138137137137137137137137136137138139140141142142143144144145144144143142142141139138135133132132132133133133133134135136137137138138137137138139139139139139140140140139138137137137136135134134134134133134133132131132132131132132133133133133133132132132132131130130130129129129128128127126126126125124124 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999155158161162164166167167166167167168167167166166166166168170173175177180180179176174173999999999999999999999153156156157157157155153153151151151152149146145148153155153152151148145141140142143145149152153151154157158158159159159159158158158158158159159158158159159159159159158157157157155154153151150151151151151151152151151148143136126122120120121123123122121118118119119118117115111109108108105100 91 80 78 76 76 80 90100106108107107108107108107105102100 95 92 89 90101111115119123124126126128129129130130130130130131133134135137137137138138138138138137137136136136135135134134134135136137137138139139139139139139139139139140140141141142144145144144143144144144144145145145145146146148149148148148149149150151151152152152152154155157159160160160160160159158157155153151148145145144143143144145144144144145145145146147146146146145144143144145144145145145144144144143142141140139138138138138137137137137137137136136136137138138138138139138138138138138138139140140142142142143144146146146146145144142141141139138135133132133133134134133134136137137138138138136137138139140140140141142141142141140140140139138136136135135135135134134133132133132132132132133134133133133133132133132131130130130130129129130129128128127126126125125 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999161164165166166167168168168167167167168168168168170171173174175175176181183181179175172999999999999999999999999150153155157158157155156154155157158156154153155157156153153152149146146147151151153154157158158158158160160161161162160160160160160160160160160159159159160159159158156156153149146144142142144146148150150151151151147145137130123121118119121120117115113112112113112112112112112109106102 95 85 80 78 80 81 84 93106108109108107109110113115114112110109104100 99102111116119120123125127128128128129130130131131133134136137138138138139139139139139138137137137136136135135134134136136137138138140140140140140140140140140141141142143144145145144144144144144144145145146146146147148148148147148148149150150150151151152153153154156158159161161162162161161160159159156154151148147145144144145145144144145145145146146147148148147147146146147146147147148147146145145143143143142140140139139138138138138138137137137138139140139139139139139138138138139139140140141142142143143144145147146147146146145144143142141140137136135134134135135135135136138139138139138137138139140140141142142143142142143141141139139139139138137137137136135135134133133132132133133134134134133133133133133132132131131132132131130130129128129128127127126126 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999162164165166166168169169169169169169170169170170173175178181183184184181181182184181178173999999999999999999999999999150155158159158156156157158161162161159158158158156155155155153152153158161161161161162164165166167167167167167166166165164163163162162161162162161161160160159157154151147141138135134134135139142148148149150150147142137131126121117117115110107106105104104105105104104104104104102 92 81999 79 81 84 88 95103108108109109110113115117118119119116114112109109109110114117119119124126127127129129129130131132134136137138138138139139140140140140139139139138137137136136135134135136137138139140140140140140141141141141141143144145145145145145145144145145145145146146147148148148148148148148148149149149150151151152152153154155157160160161162161161161161161160159158155153151149147146145145145145145145146146147148149149149148148148147148149149150149149148147146145145145144142141141140139139139138138137138138139139140139139139139139139139139140141142142143143143144144145146147148147148147146145143143142140138136136135136136136136136138139139139138138138139140142142143144143143143143141140139139139139138137138137137135135135134133132133133134134134134134134134134133135133133133133134133133132131130130129128127126126 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999161164165164164166167169170170170171171171171171173176178181185187187187186183182184184179172999999999999999999999999999999153158159158157157159160162163162161161160160159157158157157158160164166168169169170170170170169169169169169169169168167166166166165164163163162162161160159155151145139133130128128130130134139144146149150150147142141136133127119115112106106105104104105105104102 98 94 93 92 91 84 79 81 81 86 91 97102105106109111114115116117118119120119118116113112113112111112115117120123125127126128128128129131134135137137138138139139140140140141141141140139138138137137136136135136137138139139140140140140141141141141142143144145146145146145146146145146145145145147147148149149149148148148148149148149148149150150151151152153155158160160161162161161161161160160160160160157154152149147147146146146146147146146148149149150150149150150149150150151151151150150150149149149148147145143143142141141139139138138138138139139140140139140140140140140140140140142144143144143144144146147148149148149148147145144144143143139137137136136136136136137137138138138138138139139140141142143143144143143142141140140139139139139138138137137136136136135135134133133134134134134134134135135134135134134134134134133134133132131130130130130128128 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999159164165165165166167168169170171171171171171171171172175177181186188187187187186184185185182174171999999999999999999999999999999158159159159159160161163164163163163163163163162163162162163165166169172172172173173173172171170170170171171170169169169168167166166165164163162161160158153146140133129126133131132133131136142146148150150148145142139133131125117111106105103102104106106103100 92 87 86 84 82 76 75 86 82 87 94100103105110115117117118119120122122122121120119115114115115112112117119120122124126126127127129130133136138140140141140140141141141142142142142140139138138137137137137136137137138140140141141141141141141141142142143144145145145146146146146146147146146146146147148148149148148148148149149149148148148149149150151152154157159160161162162161161161161160160160161161161157155152149148146147147147147146147149150150150150150150150150151151151151151151151151151150150150149148147145145143142141140139140140140140140141140140139140140140140141141142143144144144144145146147148148149150150150149147146145144144142139137137137137136137137137137138137138138138140140141142143144143144143142142141140139140139139139138138138137137136137136134134134134134134134134134133134134134134135134135134135134134133132132132132132131131 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999158163166167168168168168168168169170171171170170171171172172173176180186188188188188187186186186184179176999999999999999999999999999999159160160160160160161164164165166166166166167167166165164164166167170173173174174175174172172171170171171171170170170170169168167167167165163162161160156150143136130129134133130130133131137143147150150150149149147144140136130122114107106106105106106104101 96 85 82 80 81999 76 79 78 89 94 99103105113119122122122122123123124124123122121120117117116115115115117118121122123125125126127130133136138141142143142141141141142142143143143142141139139138138137137138137138139140141141142142142142141142141142142142144144145145146146147147147148147147147147147148149149149149149150150150149149148149148149150151152154156160161163163162161161161160160161162162162161159157154151148147147147147147147149150150150150150150151151152152152152152152151152152151152152151152151150149149147146144144142141141140141141141141141140141142141142141142143143145144145145146146148149150150152152151151149147146145144143141138137138137137137137137138138138137138139140140142144145145145145145144142142140141140139140139139139138138137137137136135134134134134134134134134134134134135134135135135135136135135135134134134134134133133 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999159164166167168169169169168168168170170171170170170171170172174174177179185189189189189188187186186183179999999999999999999999999999999999159161161161161161162163165166166166167168169169168168167167166168171173175176175175173172171171171170168167168168169169169169168168167166164163162161156148142136132133134133132132131134140144148151152151152152150145142140136128119112107106105106105103 98 88 80 83 86999 86104 75 83 90 94 98108118124125125125124124124124124123121121121120119119117114115116116116120122121122124126130132135139142143144143142142141141142141142142143143142140139139138138138138139139140141141141142142142142142142141142142143143144144145146146147148148149149149148147148148148149150150151151151151151150149149149150150151153155158160162163162161160160159159158159161161161161159157154151149147146148147147149150149150150151152152153152152153153153153153153152153153152154153153152152151151150150148146145143143143142142141141142141142143143143144145144144146146146146147148149151151153153153152152151149147145144144143141139138138137138138138138138138138139140140141143145146146145146146145144142141140140140140140140139139139138138137136135135134134134134134135135135135135135135136136136136136135135136136135135135135135135 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999165168169170170170170169169170170171171171171172173174175177178178178180185189190189189189188187185180178999999999999999999999999999999999999162161160161162162163164165166167169169169169169169169168167169172175176176175174172172172171170167165163163164166167168168168168167166164163163161156150145142137135134132132135138141144147149151152152152152149141138138136131125119114110107106105102 91 80 87 83 74 90 88 75 81 91 95101113121125126127126126125123124124123121119119119120120121118114115117117118120121121121123128132134138142144144144143143143142141141141142143144143142141141140139139139140140141141142142142142143143142142142143143143143143144144145145145146148148149150150150150149149149149150150151151151151150150150150150150151152153156159161162164162160159158158157157159161162162161158157154152150148147148149150150151151151152151152152152152152153153153154154154153154153154154154154152152152152152152152151149146145145145144143143143143143143144144145145145145146146147148149150151152153154154153154153153151150148146146145144141139139138138138138138138138139140141141142144145146146145146145145143143142141141140140141140140140140139138138137136135135135136135135135136135136136136136136136136137137137137136136136135136136136136 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999165168170170170170171170170171172172172173173174175177180182183184184183184186189189188189187186185184181999999999999999999999999999999999999999174999999160162162163164166167170171172171171169168168168167168171174174175174173173173173170167162160158158159161163166167167167166165164164164162157152149146144141141141140141144145147148150151151151152151149140137136134131127123119116114112109103 90 84 77 81 74 80 78 86 95102105113120124126128128129127124123124124122120118118118120120122119118118118119119120121122122125129133137142145145145144144143143143142142143144144144144144143142142142142142141141142142142143143143143143143143143144144144144145145146147147148149150150150151151151151152152152151151151151151150151151150150151151151152154157159161162163163163160158157156156157159160160161161158156154152150148148149149150151151151151151151151152152152153153153153153154155154154154154153153153153153153152152152153153151150149148148147145145145146145145144146146145146146146147148149151152154154156155155154155155154152151149148148146145143141140140139139139138139139140141142143144145147148147147146146145144143142141141141141141140140140140139139139138137136136136136138138136136137137136137137137137137136137137136137137137137137137137138 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999166169170171171171171171172173173174174175175176179183185184185187189190189189189189189188187186183178173999999999999999999178180180999999999999999999999159161162163165170173174174173173172171169167167167168170172173173173174174174172169164158154153154156158163165166167167166166166167166164159155151150149148148149149149149149150150149149148149150151152147141139137134132129126123119114105 95 91 88 84 82 85 89100105112113117122125128130132133133129125122124124121119119118118119120122121119120119120120119120121122125130137142145146146146146146144145144144144144144144144144144143143143143143143143143144144144145144144145146147147147146146147147148149150151151152153154155155155154154155155155155155155154153152152152152152152152153155156159159162163163164164162158156155156156157159160161161161158156155152150149149149150150151151151151151151151151151151152151152153154155155154154154154155154154154154154154154154154154154154151151150151150147146146146146146146146147148148149149151151153155155157156155156155155155155153152151149149148147145144143141140140140140139141141141143144145146151152149148147147146145143143142141141141141141141140140140140139138138138138137137139138139139138137137138138137138138137137137137137138138138138138138139 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999162166167169170172172171171172173174175175175176176178183185185185187189191192192191191191189188187183177999999999999999999176181181180180180181182184999999159162163165169174176175174173172172171170168167167167168170171172173174175174172168161156153152154156159162164166167167167168169170169167163159155153152152152152151151150149149148147145142140139143147150148145145141134128125123119110 96 92 91 89 90 95104109112116118120123126129132134137137136133126123123124122121120120118119121122121121120121121121118119121126129136142145147148148148148148146146146146146145145145145144144144145145144144144144145146146146147147147147149151151151151151152153152152153155156157157158159159159158159160158157159158157157158156157156156156156158158159161162163163164165164163160157155155155155158158159160161160158157155152150149149150150150151151151151151151151151151151152152153153154156156155155154154154155156155155155155155155155155155155155154154154151151150148148146147148148148150151151151153155156156158158156157157157156155155153152152151150149148148146145144143142142142142142143144144145146148153153150149148148147145144143142142142142141142141141141140140140140140140140139140140138139139139139138139139139139139138138138138138138139139139139140140 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999160162162163167170171172172172172172173174174174175176179182185187190193193193194193194194193192190189185179999999999999999999177179180179179180180180180999999999161164167172176177175174172172172171170170168168168168170171172174174175174171166161158156155158160162164166168168168169170170171171170167162159156154152150149149148147147146145144141136133130134139144145147146140123109113114112104 95 95 99 99104108112118120122123126129132134136138140140139135129124123124124123122121121121121121120120121121122121120120126131137142145147149149150151150150149148148147147147147146145145145145146146145145146147146147148149151150151152153155154154154155155155154158159159160160159161163162163162163163164164165165163164163163161162161160161161162164165166166166166166164161158156155156156157157158160161160160159157155153151150150151151150151151151150150151151151151151152152154155155156157155156155155154155155156156156156156156156156156156156156155156154154153153152151151152151152152152154155155157159159159159158156158156155154154153153153152151151150150148148147147146145145145144145146146147149149150151150149148148147145144143143142142142142143142142142141143142141141141141141141141140140140140140140140140140139139138138138139139140140140140141141142 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999154158161162164167170171171172173174174174174174176178179183189195200203204203202202200197197196195193190187182174999999999999173177178179180180181181181179178999999161164169173177177176175173172172171170169168168169170170171173174175176174171167163160160160161163165166168168169169169170170171171171169167162159154152150149149148147147147146144141138134128125129135136138137130115104106108107101 98101104108109115121124125126128131135137139140142143143142139134127125125125124123122122121120120120120121121121121121122129135141144147149150151151151151151150150150151150150150148146146146147147147147147147148148148149151152152153154155154154155155157158159159161161164163163164165165165165165166166167167168168167166165165165164164164164165165165165167166166166165162159158156156157157158158160161161160160159157156154152152152152151150150151151151150151151151152153153154154155155156157156156155155155156156157157157158157158157157156157157156157157157157158156156153155153154154155155156157157160161161159159158157157156155154154153154153153153152152151151150149149148147147147147148149149150150150151152150149149148148147145144144144144143143144144144143143143143142142142141141141141141141141141141141141141141140140139139139140141142143141141142143143 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999157161163165167169172173174176177178179179179179180182188194202205206206206206206205205204201197197196192189183174999999999999174176178179181182183183182180178999159163169173176178178176175175174172172171170169168169169171173175175176176175174169166163164164164166167168169169169169170171172172172171170168164161156152151151151150148147145144142140138133130124119119120118116113103100102106106103102105111115120124126127128128131133135139141143145145146146144141133127126124125124123122120120120121121120121121120121124132140144147149150150150151151151150151151152152153153154154153150149148149149149149150150151151152152154154155155155155155156157158160160163164165166167167167167167168168168168168168168169169167168167167168167166166166166165165165166166167165162161160159157157158158159160160162161161160160159158157155153152152152152152151152152152152152154155155156156157156157157157156156156156155156157157158157159159157158158157158158157158159159158159159159157157157157157157157158158161162163162161159158158157156155154153153153152153153153153153152152151151150150150150150150152151152152152152152151150149148148147146145145145145145147146146147146145145144144143144143142142143142142142142141142142141141140140140140140141141142142142142143143144 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999165168169170170171172175177179182185187188188187186188191199205207207207207207207207207206207204200201200195190185176999999999999177180182183183184184184183180178165163167172175178180179177177176175173172172171170169170172174175175175176176175175170170169168168167168169170170171171172172172172172171170169168165161156152151150150149147146145142139136136133128120114999999999103102 97104107109105104106111119123127128130130130131133136140143145146147148149149147145140131127124123124122122121121121122122121121122123124132139143147149150150150150150150151151151152152153154154156156157156154152151151150151152152153153154154155156156156156156157157159161162164166168167168168169168168169169169168168169169169169169169169167168167167168168167166165165165166166165162160160160160159159159160160160161162162161161160160159159157155153153152152153152153154156156156156159159159158159158158157157157157157157156156157159157158159158157157157158158158158158160161161160160160157157157157158157158158161162162162160159158158157156156155154154154153153153153153154154154153154153153152153153153153154154154153153153152151150149149148147147146146146146147147147147147148147147147146145145144143143143143143142142142142141142141141141141141141142142143143143143144144144 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999168171173172172172173176180183186190193195196198198194195200207209209208208208207207207207207207206204203202199193186177999999999175178182183184184184184184182180178171167170174177179181179177176176175174172173172172172173175175175176176176176176175173172171171170170170170171171171172173175175174174172171169168166161156152149148148147148148147144137132129123120999999999 93 96 98 99100105108105108109113118124126128131132133133135137140143144146148148148150150150147146139131128124122122122121120121120120121122123124126133142145148150150151150150148148149152153153154155156158159158159157158157155153154152153154154154155156155157158159159158159162163166166167169169169169169169168169168168167168168168168169169169169169169168166166167167167168166165165165165163161160161161160160161161161161161162162162162161161161160160160158157156155155155154156158159158159159161161162161160159158158158158160159159159158158158158160162157156156156156157159160159161161161160161158158157157157158158158159160160161161161159157157156156156155154154154154154154154153154154154155154154154154155155155155156155155155154154152151151150150150149148148147148148148149149149149149149150148147147146145145145145144143143142142143142142142142142142142142143143143144144144144145145 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999170173174173172172173176180184187190193196197199201202200202207209210210209209209209208208208208208207205204203201196189181175999170173176180183185185184183182180178176173174175176178180181180179177176175174173174174174175176176176176177177176176175176175172172173173171172172171172172173175177178177176174173170167165160156151149148148148149149149145136129123120999999999 89100100101103106106110110113117120124127129132135135136137140140142144144146147148149151151151151149145139132129124122122121122122120120120122124126130137143145149149147150151150152151152152154155156157159158159160161161159158156156154154153154154156156155157158159161160161162165166168170170171171170170169169169168168168168168168169170169170170170169168167166167167167167167167166166164164163162162161161161161161162162162162161161162162161162162162162162161161161161160159161160161161161161161161163163162161159160159158159160159160160160160160160159160158157157157159159159159159159160161160160159158158158159159160161160160160162163161160159159157156158156159157155154154154155154155154155155155155155156156157158157157156156156155154154153152151151151150150150149149150149151150151152151151152150149148148147147147146145144143143144143143143143143143142143144144144144144145145145145145 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999170174175174173172172174178182185187190192194197198200202204207208209210211211211211210210210209209208208206205204203199193187179171170169173177181183183181181180178178177177178179178180181181181180180179178176176175176176177178177176176176177176176176176175173172172173172172172172172173174177180181181179176173171168164160156154151151150150150149147137123115999999999999104105106106110110110113112115116120126128131133135136137138139141142144144145146147149150153153153152151148144138132130127124125122123122121122124126129131135141146148148149150150152152151151151154157159160162161160161163163161160158157155154155155156156157158160160162162164164166167168169171171171172170170170170170169170170169170171173174172173172170168168167166166166166165166167168166166166164160162162162162162162163163162162162162162162163162163163163163163163163163163163162163163164164162162162162162162160160160160160160160161161160161161160161161161160159158158159159159159159162162161160159161160161161162162161161162161161164165165160161162159157160157160159156156156155155155155155155155155156156157158158158158157157156155155154154154154153152153153153153152151151152152152153153153153153151150151150149148148148147145145145145144143144144144143143144144145145145145145146145145146 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999170174175174173173173174176179182185187188190192194197200203205206207208210211211212212213213213212210210209208207205205203200195189183181171169173178181181180179178178178179180180180180180181182182181181181180180179178178179179178177176176176176177177176176176174173172172172173172172172174174179182183183180176174171170166162160159158157157157154148135122110999999999 93102109112113112110111113116120121122126129131133132133135137137138140142144146146148150150152153153154153154152149143138135132130130126125124123124124127130133138142146147147149150150151151150153153157160160162163165166163165164163162160160159159159158159160161162165165165166166167168170169171172172172171171171172171171171172170171172173175175174174173170168168167166167166166166166168167167166165164163162163163163163163163163163163163163163163164164164164164164164164164164164164163164163163164163163163162163162161161161161161161162162162162162162161161161161160161161160159158159159160160160161161161162161162163163161161161161161162164167167164164162161157159159159157156157157156156155155155155156155156157158157158158158158157156156155155155155155154154154155154154153153153153153153154154154154154153153152152152150149149148147146146146146145145145144144144144144145145146146146146146146146 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999169173176175174174173174175177179180182184187188189191193197200203204206207209209209210210211213215214213212210210210208208207206204200195187182177171174179180180180180180180180181182181181181181181182183182181181180179179179178178177175177176176176176176177177176175173173172172172172173174175176179183185184182178175173172171169170171173172168164157140120110999999103104107110112114115115116116118122123124125127129129128129131133134135138141145146148149151151152153153152153154156156154148144141136133133132131130130131133135138141142146148147148148149150150151152153155156160162163165167167167166167166166166165164165166166164165165165168169169170169170169169169173174174173173173173173173172173172172173174175177177176176174173172168169170168167166166169169167167166165166166166164165165164163163163163163163163164164164165165166166166166165164164164164164163163163164164163163163163162161161161161162162163163163164164164163164163162163163163162161159160159159164161165165162161162160162163161161161161162164166168169168166165163159159158156157158160159156156155155155156156156157157157158158158158157156156156156156155156156155155155155155156155154155155155155155156156156156156155154154154153151150149148148149148148147146145146145145145145145147147147146146147146146 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999167170173173175176176176176176178181182183182182185186188189190192195200203205207208208208208208209212215216215213212211211212214215214213211208201193184177170173177178179181182182182183183182182182182182182182183182181180179179177177177176176175176177177176176176176176175175174174173173173174175177178180182184185185182180179178178179179180999171166166156129109106104104106108110112113116115114114119121124125125126127126124125128131134135137139142145150151153153152152153153152152154156157157152146143141138139138138137136137138141144145146148148147148149150150152152152152155157159163164165168170171170169171170170170170171171172172172170171171172173174174173172171172174175175174174174174173173174174175175176176176179177177176174173171170170169169167168168170170169167166166165165165165165166164164163164164164163164165166166166166167168169169169166165165164164164164163163164164163163164163162162163162163163163164164165165165165163163162164165164164161160160159163164165165161162162161162161162162163161163165165168168168168168167164162159160157157157159156156155156155155156156156157158157158158157157157157156156156156156156157156156156156157157157157157157157157158158158158158158158158158157157156154153152151151151150149148148148148149148148148148149149148148148148147 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999169175175177177176175176177177178181185187186185184185186187187187188191195200204206208208208208210211213216217216213213214214215218217214213999211208202191184173171173176177180185185184184183183183182182182182182182182182182180178177176176176175177177178178177176176176176176176176176175176177178178178180182183183184185183183184184183183999999999999167162147126113109106107107107109111111112114115117118124127128129124123123123126129134138139140141145149153154154154153152152153153153154158159158154150146145144143143143143143142144144145145147147147147148146149150152153153154156158160164165166171171173174174174174174174175176176176177176174175174174176177176174173173174175176176176176175175175177177178178177179178178179179178177176174173173172169170169170170171170171169167166165165165164165164165164164163163164164165167167167167167169170171170171170169169167167167167166165165166166167166164164164164164163164164164164165167166166164165164165165165164162161159160165164163164163162163162162162162163162162163164164167168168168169170166166164159160157159156156155155155156156156156157158158158158157157157157157157157157156157157157157158158159158159158159159159159159159159159159159159159160160159159158156154153152153152152151150150150151150149149150150151152152152151150149 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999174178179180181180178176177178178180184189191191191189187187187186186187189192196200203204207210212214215217218218218999215215215218218217999999999999999206201192183173173172175180185186186185184184184183183182182182182182182182181178177176175175176177179178178178177177177177176176176177177178180180178178182184185184184183999183184184183184999999999163166158134117110108107108108106110112113115117117120122126129129125123125126127131133136140143144146151155156156155154153153153153154155156159160159157153150148146146145146146145145146148147147148149149149146149152153153155155154156158162165166167171172174175175175177177177178178177176176176176176176177178178177175174173176176178178177177178178180180179179180179179179179178178179176179177176174173173172172172171172172171170167167166165166165166164164165164163165165165167167168168168170171173172170171171170170169169169168168167168168168167167166164164165164165166165165165168167167166168166166165165165165164161163163165165163163163162163163163162163163162162164165167167168169170170170168167167164163160159156155156156156156157157157158158158158158158158159158158158158159159158158159160160159159160160160160161160161161161162161161161162161160160161160160159156155154154153152152151151152153152154154155156157155155155154153152 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999176179181181182182181181179177179179181185189193195196196195194192191190189189190192196199204208212215217218219219219219218217216999216218216999999999999999999999204197190180174171174180185186187185185184183183183184184184183182182182181179177176176178179180180181181180179178179178178178177178178180180179178179182186185182183183999999999999999999166168167164157138121112110108108108109112112114115116120121122124127128127126127129131132132134136139143147152153156155155153152150149151152155157158160160160159155152150148147148149150149149150151152152155155153153154155155155156157157157157160165168169169170170173176176177178178178179179178176176177178178179179179180178176174174175176178178178179180180181180180180180180180181182181180182177181180178177175175174173171174174171171169168167165166163165168168166166166166166166166167168169169171172174175175174174173172172172171170170171171172172170168167166165165166166166167166168170171168168166166165165165167166165164163163164165163163163163162162163164164164163163163164165167167168168169168169169169169169167164161158157157156157156157157157158158157158158158159160159159159159159160160159160160160159159161161161161161162162163165164164163164165165165165163162161160159156155154153153153153153155153156158160161160160159158158158157156 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999177181182182182182181181180180180181183186188192195197199199199198196194193192191192196200206211215217218218219220220220220220219219999217219217999999999999999999999999203199190181173173180184185187186186184183184184186185184183183182182182180178178179180180181182182182182182182181180179179178179179179179178179182185187185182999999999999999162164166167167163155136118113107108107108109111114112115116120123123125126127126126126127128130136138139140141144149154156156153153152150149148151154157158159160160159157155152151149148150151152153154155156157158160159159158158159160159158159158158158165168169170170170170172174176177178180179179179178177178178180180179181180180179176175175178178179179179180180180183182182182182182181181183183183183179180182181178177176175175174172172172170170168167167167166166167168167167167167166166167168170170173174177177177178178178179178178175174173175174175176175175172171169170169168167168168170171171171171169169168167167167168168168166165163163163164164163162162163164164165165164164164164165165167169169169169169169169170170170168165161159157157156156156157158158158158158159160160160160160160160160161162162161161160161161161162162162162163165166167165167168169170169170172169165163163162159157155155155155156156156158161162163164164164163163163162160159 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999177180182183182182181181180180181183184186188189192196198200200200199197195193193194197202208213216218219219219220220220220220220221219219220221219219999999999999999999999999203200190183175179183185186186186185184185186186185184183183182182182181179178179180181183183183183183182181182183181179179179179179180181183185188188999999999999999999161163166167165159149130117112109108110110112110112111114117121125126127128128127125126126127127127131136137142147152153156158158154153154154152148151153155159160159160160157155153151149150152153154156156157159160161162160162162162163162162161160161161163167170170171171171172172173176177178180181180178178179178179180182180181180179178177176178179179179182180181182183183184185186186184183184184185183181180181183182180179179178176174175174172171170170169168168168167167167167167167167166167169171171171174177176178179180180181181181180179179180180178175177177176175175174174174173171172171173174175174173171172171170171170168168168169166165165163163164163162162164166166166165165164165164168168168169169168169169169170171170171170169167162160159158157157158158159159158159160160160160160161161162162162163163163163163163163163163163164164165166168170171171173174175175175175174170167164163162159157156156156156157159161163165166166168166166166164164163162 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999176179181182182181181180180180181183185186187188189191194198200201198197196195195196197201209214218219220220220221221221221221221221221221222223222221219999999999999999999999999999204200192185174181184184185186186187187188187185185185184185183181181181179179179180182182182183183182182182183183182181181181182183184185187188189999999163999159159160162162161154144131118113112111111112113114115112116120120123126126126128128126129128127129129130126135140146149152156160159158154153152152153151151151154158160160160160162157155153151153154156158161162163165168166168169169169169169169167166165165165166167168169171171172173173174177177177180180181180179178178179181180180179179178178178178180181180177182183183182182185186186188187187186186185185186184184185184184183180179180179176176175173173173172171170169169169169169169169169169170171172176177178181181181181180183183183183182182182182183181181181181181179179179178179179178176173173175177177178176174175172171171172171171170170170169168164163163163163164166167167167167166166166167167166168168169169169169170170171171171172171171172167163161160159159159159159159160160161161161161162162163163163164164164164164164164164164164165166169170170174175177178177177180178177179177172168166164163160159160159160161160163164166167168169168167167165164164163 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999176178180181181180180179179179180182184186186187188189191193197200201198196196196196197199207214217220221221221221222222222223222222222223224224224223223221220999999999999999999999999999204200195185178180181183184184186187188187187186185185185183182182182180180179180180180181181183183184183184184183183182184186187185185185999999999161162161160159158155146141135126121117113114113113113114116116117118120120123125124124123123127129129129130132130129125134145147150154157158157155151151153154153153153153158160163160158161160157154152154157159166170170172171171172175176176177177177175174172168168166168168169169171172172173172174176176177179182182181181180179179179181179180179180180180180181180178180184184184183182185187188188189188188188187187186187188186185184182181179181180179178175175173173172172172172172172172170173172172174177176177180183183186188188188187185185185184183183183184184184186183184183182180182181181180181179179177178179177178176174174174174173172171172171171169169168168166164164166167169170169169168168168168168167167167167168168168169170170170171172172172171171171169165162161161161160160160160161161162162162163163164164164165164163164164165164166166165167169172176175177179180180179180181181180180180175173169167166165164164163164164166166168169169170171170168167166165164164 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999180182182182181180179179178178179181183185186186187187189191192195198201202200199198198199204211216220221221222222222222223223223224223224224225225224224223222222999999999999999999999999999999203201199190184180177176179182185186185186186186185183182180180181182181180181180181182183183184184184184184183184186187186187186182999999999162161159159157155151144136130127124121117117117116115115114117115114118117116121122122125125125127129133134133132130127131134137145145150157156154150150150150155153152153154158163161162161162161156154155157162171174175177175176176176177179179180180181182178175174174174173171171170172171170170172172174174175178181182183182181180180180181180181180182181182179180178181182184184185184184185187187187187187187187187186186187187188187185183182181182183185183181181178178178178178177178181179180180180181183185185185185186188190192194193192192191189188187185185186187186186185186186185186185185184184183185184182179180179176177177175176177175174174173173170170170168167170167167167169170172172172171170169169168168168167167168168169170170171172172173174174173172172172169166165163162161160161161163162163162162163164164165165165165164165166166167167167168171175179180179181182182183180181180182183180180177176170168168168167166166167167168169170171173172171169167166165164163164 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999183185185185183181180178178178179179181183184186186187187189191193196200202205206206206205206208213218222223222223223223223222223223223224224225226225225225224223222999999999999999999999999999999999203203200198196187179180182185186185186186186186185180180180181182182183183183184183184185186187188190191191192190188186184183999999157158156155153150149147145138130129125122121120120120118113114119118115118115115112114116117120123126128135135137137133134136132135140145145144147148145147148151153153152153153154158162162162162162158157157158162169176179180181181182181180180181184184186187187186183182183180179175176172172171172172171173172173176178182183184185185184183184183183184181181184184184183184184184184183184186186188188188187188187187188188187186187187187187187186185185185186187186186184185185186187189188186189189188190190190190191191192192194193195195197195195196193192190189189190189188186188187186186186188187188188187188188186182184181180180178178178180176176176175174173172173171170172170170169170170171172173173172170169170169168168170169169170170171172172172173173174175175174175174174173171168165163163163163165164165165165166166166167167167167167168168169169169170172175180183184184183184184183182181179180181178181181179176174173171170170170171172173173174174174174173171170167167165165165 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999183184186186186184182180178178177178179182183185186187187188190193197201204208210211212213212212213215218222224224223222222222222221222223224224225225225225225224223222999999999999999999999999999999999999204203201199198195185183185189188187187186186184182183181180183184186187190189190191191192193193194194193193191188184176999999156155152148146144142140139139137131128127126126126125123129127124124122123118117119117115121128121122130136140138137136136135136143141141145144137139140140144146152155155154155155156160160162161162159160164164166171176179180182182186187186185184184186187189189188189188188187186182178177177175173175174173172174176177179183183185185186186186187186185185187188189188187185186183186185185185186188188189189189189188187188189188187187188188188188188187187186186189188188188189190190191192194195196195194195195195194194196196197198197198199198198198196196194192191192191189188189189188186186186186185188189189189190187185184184182181178180181178177177177175175174173174174172172172171171171171172173173173172169170168168168170170170171171171172172173173175178178178178176177177177176175173171167165165165166166166167168168168168169169169170169170171172172173175177182186186186186185185184183181183182183183182182182181179178175173173173173175175177176176177176174174173170168167167167166 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999180183185186186186184182181182183182180180181184186187188190193198202206208211213215217218218218217216217219222225225225223223223223222223223224224225225225225225224224222999999999999999999999999999999999999999999203203201198195193191187188187187187186184185183184184185192193195195195194194195194194999999193192190188184176999159158155150145141139139137137136135135133129130131131135134132132130128128130130132128131122124135133128136142145144141140140142140144145148151149148153146144147148150153157157157157158162164162162161162163170169174178178181186186189190190192192191191190189190191192191191190190189190186181188185183182180180176177176177177179183184183185185186187188188188189189190190190190189190189188186186188188190191193193194193192190189189189189188188190189190189190188188191191189190191190193193194196197199199198198198198198198198198199199199202201200200200198197197196195193192190189190192191191192190190189187188189191192193189187186182182184181183180179179178178177176175175175175174176173172175172172172172173172172170169168168168170171172172172172173173174177179181182182180179180181180180178178177176173170168167168169169170170170170174174174175175177177178179181183186188190190190189189188186184184184184183184183183182181181179177177177177179179179178177178178177175175173171170169169169168 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999180182184184185185185185184183183186189190189185183184186188192196202207213215216216218219222223222222221221221221222224226227227226225225225225224224225226226225225225224223999999999999999999999999999999999999999999999999999205204202199196194192187187187186186186185186189193196198196196195195195195195999999999999999183185179169162156153147144143142141139138136134134133131130134135136141141141140140139137139140139139139139137139142138142143140142143143144144145145147149153152152154151151150152150156157158160160161166165162162163163166167174178179183185188187190189191191192193193195195196195195195193192192193193193190194192192191188186182178180179180180181182183183184185188189188187187187188189190191192193191191193192193192192193194196196195193190189190190191191192192191192192194194193192193194194196197198199200202202203202201201201201200201201199199199199200200200199200199198198196194193193191194194193193192193193191190189188191193194194193189191190187188184185182183180179179179179178177178177179177174173174173174174173174174172172170170168169172172173173173174173176178180182184185185183182183183183183183183182180180178175173170172171175175174175176176177177178180180183185187189191194194193191191189187186185185185185185185184184182184182181180180180180180181181180180180180179177176175173172171171170170 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999183185187187186186185184184184184185189191193193192191190192195199204211216219221221220220222224225225225225225227226227227228228228228228227227226225225226226226226226225225224999999999999999999999999999999999999999999999999999999999208208202199197195193191189189190189192196198199199999196195196196194999999999999185186185184179172161154151149147148149149143138136133133132131133135136138142141141139138139139142143147150151152152152150151149148144139143143144146147149149154154151156154154156154153155157157158163164165166162164164165167169172178178182187189188189188188188188190192192193195197197198199197197197197196196197194195197195195193187185183184184182182183183183184186188189191190188188186186189190193193193194194195196195196196196198198194193191191193191193193194195196196196198197197199200201201202202203204203204203203203202202202201202201200200199199200200201201201200199199198194193192192193195196196196196196193192191191191192191190192193191192192191190187189183184183180180179179179179180180179179178176175176174176176176175175174173172171172173173174174174176177179180182185186187188187186185186187187186186186185188186183183180182180177177177178179180180181184185186189190193194196198196194192191190189188187187187187188187185185183184184183182182182182183182182181182181181179178177175174173172172171171 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999183186187188188187186184184184185186189191192193195197197198200202205211216221223224224223223225226226226227228229230230230230230230230230230229228228227225225226227227226226226224999999999999999999999999999999999999999999999999999999999999999207204201200198199198197198199199199199999999197198197197196999999188186185185185184183181176167158154156155154153152145139136132131133136136138136139141140140139139140142145146154156158158158157156154152152151149149151151158158158149153156157157157160158156159157157161164164166167168163164165169173178180183184186188190189188186188190193196197198199198196197200200201202202202202202199197197198198197196195191189189188188185183184185188190192193193193193193190191192193194195197197198198198198199199199198197199197195195193193196197196199200201203202203203205205206205205205205205205205204204205204203203201201200200200201201200201200200200197197195195192193192194197198200200197196194193192191191193191191191192191192195192193192189191188187186186182182182182183182183182181181180178177178176176177177178177175174173173175174175176176177178180182185186187188189190189189189192193192191192191192191192190187187186185181179181181183183184186189191192194196197198198195194192191191190189188187187186187189185185184184184185184185185185184185185184184183181180179177177176175174171171170 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999183185187188188188186185184184185187188190192194197200203204205206207210215219222224224225225225226227227229229230231231231232232232232232231231230230229229227225226227227227227226223999999999999999999999999999999999999999999999999999999999999999999999999999999203202202202202201199999999197199198197196196999188188186185185186185181179177169162158158158157156153148145140140140139139139141140137139140142141141142145148152156159161161160158157158159158156158156155155156157158159159159159160161159159158159159161163165162165167169168168171174176181181180185186187186185185188195196199200201203204204205206206207206206206206208206203200197201200199196196194192192193191190187190192193195197195195196196197197198199198198198201202202201201200201202203202201201200199198198199201202204204204203203204205207207207206206206206206206205206206205205205204203202201201202202202201201200199198198196195196196197196195197198200201201199197195198194194192192192191191190191191194190190194191190189188186186186185186186185184184183183183181181179178178178177176177176176176176176177177177177179179181183185188190190191191190191191192193195197196193196193195195193194194191189189186186187187186189192192195197198199198198198196194193192191189189188186186187186186186186185184184185185186186187188188187187185183182181180180179177176174173173172 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999183184186186187187186185184184185186188189192195198200203206207208209210212217218220223224225226226226227229231232232231232232232233233233233232232232232231230229227227227228227227224225999999999999999999999999999999999999999999999999999999999999999999999999999999999203202202201999999999999199198199197999999188188187188188187186182179179177174169162161160160162160158157158159160160156148145145142141141142143142144147150153158162162161157155155156159161161162162161161161162161162163163164164165163163160161160162163166167170169168168171175176179182182182183182182185189194198198200203204205205206207209209211211211211211210211210209203203203202201199198198196195195193193193195196196197197198200201202203203204205206206205206204204204204202202203204204204203201201202203204205206206204205205206207208208207208208208207207206207207207206205204203204203202202203203202203198196199198197196196195195196197198199199199200201202202200201197189193194191190193194193193194193192193195193189189188188188187187188187187187186185185187186183182182180179179178178177178177179178179179182181182183184185188189190190191192192193194195195199200199197195193195197198198198201197196194192191188191191194195197198200200199198198196194192191190189188187188188187188187187188187187186186187188189191191189189187186184183182183183181179177176174174173 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999184185186186185185185185185185187189191194196200202204206208210210211211213216216216220223226226227228230232233233232232232232232233234234234233233233232231231230229228227228227999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999198200199199999191192190190188189188184179176175999999174171165162164166169171173174176178179180178175169163154149145145145147147149154155159162161161160158156156159161163163164164164167167167165167169167166164164166164163162164165168170174170170171173175176179181182183182183185189195198200201201204204205208210211211211213214214213214213212211211208207204201200200200199198199198197197198198198199201202204205206207209208208209210210210210209209208207205204204205204205205204204204206206204204205207206205206208208207208208208208208208208208207209205204205204204204205204203202202201198197198198198197197197198198198199199200202201200201201199198198194191192190189192193195191193195196194194195192190188190190190190189189188187187188188188187186185183182181181180179178179179179181182183183185186186187188190190190192193194194194195196197199199198198200201198201202202203203200200200196194196196195195196197198198199198199198196193192191189189188188188188189189190190191190190191192192192193192191190190189188184184184184184183181178178177176175 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999185185186186186187187187187189191192194196198201203205208210213214214214213213215216217220224227228230232233233233234233232232233233233233234234234233232231231230230229229228228227999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999197198196999999193191191191190189185180174174999999168171170163166171177182185188190190191190190189187184182176173163160152152149149152157161159163163162161160159159163164163164165167170171171172173170169169168167168167163165169168173173174174174172173176178181182182182183186192194195200202203204206207208210210212213213213214213214215213212211212212209205203201202200199199199200199199200201203204208209210210211211212212212211211211212212213213210210209208206206207206205206206206207207207207208207209207208207207208206206205204205205204205206205206205204205205204208202202202202201201201200200199199198198199199199199200201200200200200200199198200197197194189190191191193191191193193191191193191189187189190189189190190189189190190189187188186185185185183183182181180180182183184185185187188187189188189190192194194195196196196197198198197199199202201201201203203204203201202203201199199198197198196198199200199198198197196195193193191189190189189188189191193193195195194194194195195195195193193191191190188185185185185185185183181181180179177 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999188188188188187186188189190192194195196198200201202203205208211215217218218218216215215216219224227229230232234234234234234233233233233234234234235234234233231231230230230230229230230228999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999198197193192190189189189188186182177173171170172173170169171181186190192194194194192193192193193192190188186183178177168163156152156157161161163164165166165164165166167167167167168172176176176175174172170170166167165166167168172173174175173175173174175178182183185185187189191195200203205205207208209210213213213214214214215216216215215214214214215213208205203203200200200199200200202204206208210213213213214212212212211212211212212214214214213212213212210210209210208207208209209210210209211208207208209210208209203203202201201202200202201202203204203204205203205204204204201202201202202202202201202201202200199200199200201202202203201201202202198198200200191192191191193193191192196195193193191190191194193193193193192192191189189190190187187189189187185185186186183182184184187187188189190190191191193195197197198199200200199200199198198197199200200199202203200200200200201204204203201202200200200199201201199198197196195194193192191192190189188188191193195196196197198198199199199198197196194193193191189186185186186186186185184184183183182 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999189190189189188188189191193196199200201202203203203204208211214218219220221221219217218220225227229230231233235235234233233233233233233234234234234234234232231230230230230230229230230228999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999199198196192188186184181182177174171170172172174174178186190192194195195194192192192192192193192192191189186185182180173166161160159161162162163167167167167168169170170169170171178180180181177174173171171169168168168170173174176175174174173174177179182186188191192193193198202206207207209212212212215216215214215215216217218217216215216216217215214212211207204201200200201202203206208212213214214213213213212212211212212213213213214213213213212212213214215212211210210210212212213212209208210208207210209206202202201200200202202200199199200202204205205204202202201202205202202203203203203203204203202202204202201201202203202203203201202202203202201202198197198192194197194193192195196194192192192194194194194194193194195193192191189188188189191190190187186187188186186188191193193194194195195196197198199200201201200201202201200200199198198200199199199199201199200201200201206204204203205204203202203203201200199198197195193192191191190190189190189193195196198199199199201201202202201199199196196194193192189188187186188187187188187186186186 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999190191190189189189189190192194196199200201202202202202204207210213217219220221222221220220221224227228230231232234236236236235234233234233234234234235234234233232231231231231230230230231234229999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999202201198195191185180176175174175174174179183187187189191194196197196194193192191191190190190191193191190188188185184178175170168165166163166170168168168170170171171171173173178178183182183180174174176174175176176177178178179179177176176177178182186187188191195196201204206208210209210213215215215217218218217217217219217218219219219219218218216216216214211208204202202203205207210213214213212212212213213212212212212213213214213213213213213213212212214215214214213213214214217217216214210209208207204203202201200201200200199201202200200201202205205205204201198199203203201204205203204204204204206202204203202201203204204204204203204203203204206203202201199197196193194193192193193193193193193193195197195195196197198197195196195192192194193191191191191192192194192192195195196197199200201202202200202203203202202203203202201200199199201200200200200199200201201202202202204205206206205206206205203203202201200200199195194192192191191190190192193194195197198199199198201202201202203204203203200197195195193193191190190188187188187188188188187 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999191191192192191190190190191193196197198200200201201201201202205209213214217219221222222221222222222224225228229230232233236238238236234234234234234234234233233233232231999999232233233232233233233228999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999202201199999187183176174174176178185186188189189187189192196196194194194192191191190188188188189189193190190189187186183180174172172173170174173170169171174175175177177176176183184188187187182182179182180181182181181182183181179180178179181182185188192194199202204206208211212213213213214215215216218218218218218219219220219220220220219219219216215215214213212211209209208210212214213214212211213213213214212212212212212215214214214214214213213213215215216216216215216216216218218215212209208208207205203202200200201202202201200203202200202201204203205202201200204206205207205204205206203205205205205203205202204205207206206205204204203205202202202203201202200202197196197194197196195195196197198196197198199199200198202199198196199200201198198198198197196196196197199201200201204204204204205205205204203203203204202203201201201201200199201201199199200201200201200201201201202204204205204204204203202201201201201198195194193192191191192194195197197197199199199199200201202203203203205205204202200198198196195192191191190187188187188188188188 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999203205999999999999999999999999999999999999999999999999999999999999999999999999999999999192193194194194193191191193194195197198199200201201202202202203205209213215217219220221221222222222222223223224227229231232234238239239235234234234234233233234232232232232999999999999234235235235234231999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999185182179175177181187188189190189190187184188192194193193193193193192191189189188187186190191190191192189188185182180175175172180182181182176177176178180181180177179184188188188190185183187183184184184183185186186185185183183184186189189195200204206210210210212214214214215215216217216216217219219220221221220221221221220218219218218218216216215214215215215215215215214215216214214214215214214213212212213213213215215215215214214214215217215215216218217217217216218214209209207208207208206204205204204206204205205202202204203201201204206204205204205203204205203204204205204204204204204205205203206205204206207208206207207207205203204204204205203204205206205204198197197199199197199199199199199198200203202202203203202201202202203203203204204204203201202204206206205205207206207205206206206205205204203202201202204203202200200200201200201201201199200200200201200202202203204204205205204203202201202200199198196194192191191193194196197197198198197198197198199201201201202203203204205205203203199197196195194193192190190190190191191190 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999201202999999204204999999999999999999999999999999999999999999999999999999999999999999193193194195195195195194192193195196196197198199200201202202202203204205208211214217219220220221222222222222222224226227228230230232236238239238235234234234233234233233234233233999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999185184183182181179178186188190190191191192191189191192194198200198195193192193192191190189189187191193193193194194191188186180178178176179184185185185184184182184184183185187189188190190191190184184186186185185184184183184184185184187190195197202205208210212213214214215215215216215215216217217216216218219221220220220220220222220219219220219219219218217217216216215216217217217216215214215216215215214216215214214213215215214214215215214215216217217218219219219218217217218213208208207207205206206206205205205204206205206205205209205205203206205206204207207206207205203204205204204204205205204205204204204206207208209209210208209208205206208205205203204205205206206205203202199202199200200200202203203203201201202204203203205206207206206206208208207205207208207207208207209208209208206206205204203204204203203204203203201202202202202202202201201200203203199201201201201200201203203204204204203202202202200199196195194192190191193194195198198199200199198199199200200200201201202203204205206207206204202199197198196196195193193192191191192193 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999202202204203203204203999999999999999999999999999999999999999999999999999999999193194194195195196196196196196194193195196196197198199200201202203203204205205205207209211214218220221221223222222223224224226229229229230232234237238239237237236236235234234235236236235234999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999184185185184183182183188189189191192192193193190190190191192194197201199195195193193192192191189188189191192195195194194191189186182180181183187187188190186188188189188190193194193192192194191190188187186185186186184183183185186187188191196201205207210212215216216218216217217216217216217217217217217218219219220220220220222222222221221220219221220220220219218217217218218217219218216216217218218218216218218218217218218218217217217216215217216217218218219220220219219216219213214210209208207207206207206206205205210207205206206205209208206207206207205203204204207206209207210207207207204205205205205209210209211209209211211210210212210210208207206203205205205210209209209206206205205204203203203202204204202203204207209205207209212209209211211211210210209209208209207208207208206207207207207206206206205205204203204204203204204204204203203203203202201201201201201201201201200201202203203204203202201201201199198196194194193192194195196196197198199200199199199199200200201201201202202204206207209208207204203201199199198197196194195194194195194 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999203203999201201202202201999999999999999999999999999999999999999999999999999999194194195195195195196197197196196195197198200202203204204206206207207208209209208207206207208211214219221222222222222223223224225227229229230232235237238239239240239239239238238238237236235999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999194193192999999999999187183182183185185185188191187190192193193193192193192191191191191190192191196197199199195195195194194194192192192194196196196198195190190188184188187189193193191192194195193190193196195194192192194195194191191189187188188185186186186187189192192196203205209212217218218221219219218218218218218218218219219218217218219220220220220222223222223222222222221220221221221220219218218218219220218217216216218219219218219219220220220219219219218218218218217217216218218219221221218221219216213212211210208209208207207207207206208206207207206205207206208209210211206206207207211210207208210211212213207207205205205206209211211213211213214213212214214213214211210207210211211212211211210210210210210210209209207207205205205204205205206207207212213210213212213213212212211210211209209207205206204206206207207206207207207208206205204204203202203204205208207206205204203203202202202202201201201202201201201202202203202201200200199198197195194194194195195197197199199199199200200200200200200200201201201202203204206209211210209208206204202200199199197196197197196195194 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999204204203202202202202202201201202999999201999999999999999999999999999999195196196196196196197196197197197197197196198202205208210210210210210211211210210210210210210209208208209211215221223223223223224225225224225228229229232236238238238239240241241241240240238237234233999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999198197196194194191188187186187186183189191190191191191191194194194196197195195195194193192193193192192193195197198198197198196197197195195195195196196196197193191189190190190189195195193190194193194193195196194196195194195196197196194193190189191189189187192191191193195198200206212216217219220219220220219220219219218218219219219220219219219219220221222222221222221221224223223224224222221221221220220219219220219217216215216218219219219219219220219218218218217218218219219219219219219221219220221218219214214211211212211211211210209208209209207209207207206206208205203206207208207207208209209208207208210208209212210209208207208207209211211212213215216216214215216217212215214212213213214212211212212212213213213213212212210211209211207211210209208210210211212214214213214213214213213212211210208206205203206205205206207207207208208208208207206205204203203205206208210209209208207205204203203203203203203202202202201201201201201201201200199198197196196195195195195197198200200200200201201201201199199198200201201201203202203207209211211210209208206205202201199198197196197196195195 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999204204204202201201201201200200200200200200199198195200999999999195196196197197197196196197199200199199199199200201204208210212212213213213212212211210209208208207208209210210209209211214220223223223223223224225224224226227229233235239239239239241242242242241240238238999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999201198198197198193191189188188189188191195194194193193193197198198198198198200200200199196195194194193194193195195195197199199200200200199198196197196195194198195195196195195194192194193195193190190191196199197196198198197198197198198196194190192193193191192192192194198201203208212217219220221222220219219219220220220219220220220220220220220221221221222223222221223222223224223224223224224221224222220220220220219217215214214215216219219219220220220219220220218216217219219219219219220220220218216213212211213213212214214214214215214211211211210210211210209206207207209205208205207204205210209210206210209209208211210211207208209208209211214213214217220218217218218218217215215215215214214215215215214214215214214214215214216212214214212213212213212212212213214215215216215212213213213212212209207205204204203203205206206206207209209208209209208206206204204204207209210210211212212211208207205205204204203203203202202202201201201201200200200199198196195196196196197198199199200200200201202201201201201201201201201201202203203205208210212212211210208207206205202201199198197198197196196 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999216216999999999204204203202201201201200201200200201200200199198198197196196195196196196197197197198197197198200202202203203204206210213213213215215215215215215213211209207205206206206207209211211211212216221224223223224224224224224224225226229233236238239240240242242244242240999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999206206200198199195196194193196195194195194195198197197196198198199199200200200200203203204203201199195195194194195196198197199196197199200201201200199198198197196196196196194194193192191191193192193192193197199199198197197198199204198197198196195194195196195196196198198199201206210214218220221224224223221221221221221221221221221221221220222222222222223223224225224225224224226224225224225224226224224222222221221219217214213211211213213215216218218218219220220219218217218218219220218217218216215212210208212212213215215215215214215216215214211211211209211209210211212211208210206208207206206204207208209212210211210212211210208209209209213213213217217218221220220220220218218217216216215215216216216218216216215216214215216216215214214213213217215213213214215216217215215216216214214215213212211208206205205207206206206206207208208208208209207207206206205205205207209210210211211213213213213211210207206205205204203203203202202202201201201200198199198197196196196197198200200200200199200201200200201201201201201201201201201203205207210212213212210209208207207206203201200199199198198197197 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999213208207206204203202202200200200200200199200200201200199199198197196196196196196197197198198198197198199201203205206208209211213215215216216217218218218217215212209208206205206207206208212213213215218223224223223223224225224224225225226228231235237239240241242243243242999999999999999999229230230999999999999999999999220220219218215999999999999999999999999999999999999999999999999205205207203198196198201199196194196195194197198199199200200199199200203202203205205205206204206204204203197198197198197198199200199197197198200201201201200198197196197197197195193191191192191193194195197197198198199199199200200199199200199199196196195195198201200199200200204207211214218222223224224224224223223222223224225223224222222223223223223223224226226226226226225226226226225224225226227224222225222223222220217215213212212212213212213214215216217217217218217217218218217217216215214213213212213213215214214215216217217216217215215214214211210213213212211212211211211209208210209208207209208210211211211212213212214212212212209213212215214218218220219220220219219219218217217216217217217218218217217216216214216217217217217217215216217216219219217216216216217215217217218218219215213213214210209208208208209207207207207208209208208208208207205205206206207207207208209210213213213214214215214213212211208207206205204204204203203202201200200199199198197197196197198200201200200198199199200200200201201201201201201201203204206208210212212212212209209209209207206204202200199199199198199197 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999208207206205204203202201200199199200200200200201201201200199198197196196196197197197197198198198198199200203204206208209210212214215216216217218219220220219216214213210209208207208208209213214214217222224223223223223224225225224225226226226229233236239240242243244244241242999999999999999232233233233999999999999223222222221221220218213213999999999999999999999999999999999999999205205206205201199204203206199198198199200199204199200203202203203207206207209210209208208208209208207207208204201197198199198198198200201201200200199198199198197196196196196195195196196197199199200200200199200201203206203204206205206205205204203200198199202203203204203206208208212215218221223224224225224225225225223224225225225226225225225225226226226226228228228227228228227227226226227227227229226223223223221219215214214214215214215216217217216215216214214213214214214214215214214213213214215216216217217217216215218218218218215215217219216216213214213218217215216214213211211210210211211211211211211210212213212213213214212212211212213214215218218220221221219218217217218218217219216217215218218217219218218214216216216216216217217218218217218219216218218218218219219219220220218219218216215213211209208208207208207207207208208209208208206207206205205206207208208209209210212212213214214214214214215214214213212211209207206206205204203203202201201201200198197196197197199199200199198199199199200200200201201202202204205207208211212212212213212212210210209208208206206203201199199199199198197 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999208207207205203202202201200200199199200200200201201201200200199198198198198198198198198198198198199200201202204206208209210211212213215218217218219220220220219218217216214212211211211211213214215216220223223223223224224225225225225226226225225226231236240241242243244244243999999999999999232235233232231231999223224223222222220220220218216217216215999999999999999999999999999999999208208207204203204206200201199201202203205203203204209204207208207208209209209210211211211212213212213212212210207204201201200199199199201202203202202200198197195196196197196197198198199200201201202203203204204204207206206207207207207207207207208208207207208206207207207209213213216219222224226226226227226226227225225226226226226226226226228228227227228227228228229229229230228228228226226227228228227226224222218217215214215216216216216218219218219219217216217217216216215215216216217217216217218218219218219219219219220219218220218216219219220216219218219218219220219214214213212213212213214211211212212212212212212211211212213212214213215214216218219220219220219219219218217215214215215218220220220221220219219217216218218218219220218218218219222220219223221220220220221219220220219218216215214213211211208207207207207207207207207208208207206206205205206208208209210210211211213213213213214214214215215215215215214213212209209208208208208207206205204203202201199198198198199199199199199199200200201203205205206207208209210211212213213212212212212212211210209209209207206205202200199199199198197 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999212212210208207206205203202202202201201201200200200201201201201200199199199199200200200200200200200200201203204204204206207209211212211211212214216217218219219220220220220220219218217216215214216216217218220221223223223223222222223224225226226226226224225230234239241243242244246245999999999999999231233233231230231229224224222222222220221219218218219220217215213215999999999999999999999200205210208203198207210208207212205208205206209209210210208209210211212212213212212212213213214214216214213214213211210207205203202201200202202203204205203201202201202202203203201200201200201202202205207208207209208209209209210210210211214214214215215213213212212209209211211216219220222224225227226227227228226226227226226226228227226227228229228228229229229229230229230229230229228227227227228228226226226222218217217217217217217217219219219219220220220218220220219220220220221221218218218217218217219218218218217217221222221220220217218216218222219220220220221221220220218219217218216216213214213213212212213214212214213210212213214216215216217217220219220220220220220220219218215214216217218218221221222223221221218219218218218217217217218220221222223223224222223223224222221221220219217218217215215212211210209208208208208208208209208207206206206206206208208209210211211211212213213213213213213214215215216215215214214213213212211213212213214213212211209208208206205204203204203204204204205205206207209209210210211211212212213213214213213212212212211210210209209208207206205203201201200199197197 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999212211210210208207207206205204203203202201201201201201201200200200200200199200200201201202202201201202202203204205206206205206207209213214214214213213215216217218219220220220221222222221221220219219220220221221222222222223223223223222222222224225226226226225225229234239241242999245245244243999999999999999999231231230229228225223222222222221220219218218221220220221222220220215999999999999999202205210206206210210209211207208209210209210211210211212212212213215215214214215216216215214214215215215216216216215212211207205204203202204206205205207207205206205205206207208209209209209210211213214214215214213213213214214215216217217219221222223223223220219217214213214215220222224227228228228228228228228228228228227227227228228228228230229228228229230230230230229231230229229229228228229229228228226222219218218217218219219219219219220220221220219220220220222221222223224222223222221221221221221221221220220221220221220222222222222216218217221219221222221222222224222224223221223223222218217216215215214212210214213213212213214216216216217218220221221221221221221220220219216215215216218219221219221222221222220219219219217218221222222222225226225225225225225224223224224222222220218216217216216215213211211209209208209210210209209209207207207206207207208209209210211211212214214214213214213213214215215215215215215215215214214214214215215215215215215214213213213212211211210211212212212212211211211212212212212214213214214214214213213213213213212211210209209208207207207206204203202200199197196 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999212211209209208207206207207206205204203202203202202202203203203202202201200200200201202202202202203203203203203204206207207207208209211214215215214213213214215217217218219219219220221221221221221221222222223223223222221221222222222222223222222223225226226226225225229233238241242244245246245245244243999999999999999999999228227225223223223222222221220219220220220220222222223224223219210208999999200203209210204205205208209210211211213213212212212212213215214215216216216217217217217217216217216217218218218218217217215213209207207206207208210209211210210210210209209211212213213213215217219222224223224223222222222222221223224225227228228228228227226225225224223223223225226227229229231231231231230229229230229229228228228227228228229228229228228227227229229230230230230231230230231230230230228226223220220219219219220220220219220222222222222221220221225225226226225227224226225226226224224224225225225225224223222222223227227223223220221223221221222223223223222226225224225225226226225223222222221219217215212214214214214214215217217218219219221221221221222222221221220219217218218219220220220219221221222222221219220220220221223223223226226227228227227227225225224224222223222220217218217217216215216214213212209210212212211211210209208208208208208208209209209211212212213213214213213214213214214214215215215215215215215214214215215215216217217217217216216216216215215215214215214214214214214213213213214214214215214215214214214213212211213211211210210209209209208207207206205203202201200198197 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999209209209208207206206206206207206205205205204204203202203204204205205204202202202202202202202203204204206206204204206208208209210211213215216216214212213213214215216218218218217217218219220221221221221222223224224223222221221221222222222223223223225227227227226225225229234238240242244245246247247246245999999999999999999999999227228227224224224225224222221222221220220220222223225225223221214206203204204201201205207208210212214214214215215215215214215215216216217218218218218219218219218216218218219219219218219218218217217214210209209210211211213213214215215213214214214215215216217218221223224225226227228229229230229229229229229230230228229229229228229227227228228227228229229230231231231231231231231230232232230230230230230230230229230230229229228226226227229230230232231232231231231230229227224222221221220220220222222222221222223222223223222226226226227229229230230228228229228231230230230231230229229227226228228227228228226224223226225225224224223223223223224225226226225226227226226226226224225224222216218216216216217217217219221221222223221222223223223222221220217219218219220221221221222222223223224222222222222224224224223224224225225226226227228227224224224224224224220217218217216216216217215214213212211211212212212211210209209209209209209210210210210212212212213213212212212213213212213213214214215215215214214213214216216217217218218218217217217216216215215216215215215215215215215215214214215215215215215215215215214214211211211210209209209209209208207206206205203202202200198197 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999210208208208207206206206206207207206207207207208207205203203202203204204205204204204203203202203205206206207206205206207208210210212213215216217214211211212213214215217218218217216216216217219219220220220221222223224224222221220221222221222222222223225226227226226224224228232236239241243244246247247247246999999999999999999999999999999999227225225226224222221221221220220219220223225224224223218210206205206204200206206209212213214215215217217216217216216216216217218219219220220220220220220218218219218219219219219219219219218217214212211212212213215216216217217217216216216217218220221222223226228228229229231230231231231231231231231231231231229229229230230230229230230231231229232232232232232231232232233234232233233232232232232232231230230230230229229226226227229231232231232232233233232230230228223223222221221221222223222222223223224224224224226228229231231231233233233235231236235235233234235235234233232231230231231230230229229230230230230227227225225224225227227227227226227227228228227227227226226226225224221220220219219220222223222223223223223224225224224223222221220219219221220221222222222222224225225226224224224224224225223224224224224225227226226227226226226225223224222220218217216217216215214214213212212213212212211211209209210209209209210210210211211212212212212212210212212212213213213212213213214214214214214214214216217218218219218218218218218217217217217217216216216216216216217216216216215215215215215215214214214213212212210210210210210209209209208207206204203203203202200198 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999210210208208206206206207207208207207207208209210209210209207205204204204205206207207206206206206206208208209208209209209209210211213214215217217216213213213213214215215217218218218217216216216218219220220220221222223224224222221221221221221222222223225226226226225224223223227231234237239242244246247249248246999999999999999249252999999999232231233233233231226224223221221221222220222223225226223220213207207206207205208209211212213214216217218218218218217218218218219220221223223222221221221221221220221221219220220220220219220219219217215214214214215215215217218219219218217218220221222222223225227229229231232232231232232231231231232233232231232230230231231231231231231232232232234234234233233234233234234235234234234234234232233233232232231231230230231228229226228230229231231232235234234232231229228225223223223223223223224223224224224224225226227228230231233234235236239236236235236236235235235235235235234234233232232233233233232233234232232229228228227227226228228227227227228228228229229228228227226226226227226225226226224224223223225225226225225224225224224223223223222221221221221222223223223223224226225227225225225226225224224223224224224224224224225225227226229226225223223221219217218217217217216215215215214212213212212212211211210210211210210210211211211211211211211211212211211212211212213213212212213213213214214215214215218218219219220219218218217216217217217217217217217217217217218217217216216216215214214214214214213214212212210210210209210209209209208207206205205204204203203202200 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999211210210208207206206207207208207207208209209210211210210210210208207206206207209210210208208208208208208209210211211212213214214215216218218218219216214214214214215215216217218219219218217217217218219220220220221222224225225224223222222222223224224226226226225224223223222222225230233236239241244246247249248999999999999239245250249250249247245242241241240238234230227225223222222223224225227227225222219211209207209207208209210212212214216217218218219219219219219220220221223224224223223223223222223222222221220222222222222221221221221220219217216217216217217217219220219219218218220221222225226228229230231231233233232233232232233233233234234232232232232232232231232233233233234234234235234234235235236235235235235235235234235234233234233235234232231229228228226226226227227228230231234233233232231227226224224224224225224224224225225225226225226227228230231232234235236237236236235235236235235235234234234233234233234234235233235236236236236234234233231231231229230229229228227227227228229229229229230229228227227228227226227227227226225226226226226225226225225224225224223223223223223222222224223224225225225226226225225225225225224224224224223224224223224222223222225227229227227224222221219219219218218218217216215215214214213213213213212211211211210210210211212212212212212212211211212212211212212212212212212212212212213213214215215217217218219220220219218218218217218217217217217217217217218218218218217216216215213213213214214213213213212211210210211210209210210209208208207206207205205204204202202 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999212211209208207207208209209208208209210210210210211212212212212211209209208209210210210210208208209209208209210210211211212213214216218218218219218216215215217217217217218218218219219218217218218219219219219220222223224225225225225225225226226226226226226225224224224223223222223226231235238241243245248249250999999999999246252254254252247245244243241241240239239232233231228225225225224226228228227225222216211211211208207210210211211214215218217218219219220220220221221222224224224224223222223223224223223222223223223224224223223223222221221220219218217218218219220221221221221220221223224226228230231232232233233233233234234234235235235235234233233233233233232233234235234235236236234234234234235236236235235235235234234234234234233234233234234232229228228227226226226227227228229231233233232232230226226225225224225225225225225226226227227227227229230231233234236236237237237237237236235235235235234233234233233235235235235236237237238238237237237235233231232231231230229229229230229229229229230230230230229228228227229228228228228227227226225226225225225226225225225225224223223223223222224223223224225226226225225225225225224224225224223224223224225224223223223224225226227228228225223221220220219218217217216216215215215215214214214213213212213213213213213213213213213214214215214214212213212212213212212211211210211213214214214215216216217218220220220220219218218218218218218219217217217217219218218218217217216214213212213213214213213212212211211211211210210210209208208208208207207206206206205205204 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999210212210209209210210211212212211211212212211211212212213212213213212210210211210210209209208209209209209210210211211211211212214216217217216216217216215216218218219219219220219219219220219219219220220221221222223224225225225226226226226227226226225226225226226225225224224224222224226233239241243245247249251250999999251255256254253250999999999238239238238237236235235234231230229229230229228228227225224220213214214211211211212211211214214216218219219222223223222222223224224226226224224224224224224225223224223224226225224224224223224223222222222221220219219220221222222222222222222224226228229230232232232233233234234235235236237237236235234235234233233233233235234236235236237236235234235236236236236236235235234234234234234234234234233234233230230231230229227227227228228229230232233233232232229227226225225225225225226227227227227228228228228229231233234235237237238237238237236237236235235235234234234234236235235235236236237238238238238238237237235235232232231230231231231230230229229229229230229230229229229229229228228228227227226226226226225226227226226226226225225225224223223223223223224224225225226225225225225225224224224223224225226226225224222222223224225226227228228226225223221220219219218218217216215215216215214213214213214214215215215215215216216216217218218218219217220219218218217216215214213214215214215216215214215216217218220221221220219220219219219219220219216219219219219219218218217216215213213214214214214213213212211211211211210210210209209208209208208207207207206206206206206 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999212211210210211211212213213213213213213212212212213213214213213213212211212211210209209209209209209210210210210211210211212214216217216215216217217217218219219220220220220220220221222222221221221221221221222223224224225225225226226226226226226227227227226226227227226225225224224227232239241242244247249251252252255257255255254251999999999999999999238237237237236235234234233230231231231229229228226224221216213213212211212210212212213214217219219219221222222222223224224225225226225224224225224224225224224224225226225224224225225224225225224224223223222222222222223223223223225224226228230231232234234234235235235235236237238238238237236235235234234235235236237236237237237238236236235235236236236236235234234234233233233234234234233233233232230229229228228227228228229230231231233233233232231229228226226227227225226227227228228229229229229229230233235236238238238238238237237238237236236236237237237237236237237236236236236237238237238238237236237235234233232232231231232231230231230229230230231231230230231229229229228228228227227227227227227227228229228227227226225226225224224224224224224225225225225225226226225225225225224223224224225225227225224221223223225227226227227227227227224222220218218219218217216217216216216214214214214214215216216216216216217217217218219219220221221222221221221221220220218218218218218220216215215216217218219221222222221221220220220220219220219218220220220219219218218218216214213213214213213213213212212211210210210210210210210209208208208208208208208208208208208208 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999210211210210211211212214215215214215214213211211212213214216214214214213212211211211210210209208209209210210210210210210210210213215216217217217218218219220221222223222223222222222222224224223224224223222223223223223224224224224225225226226227227228229229228229229230230229228230229231236240241242245247250252254256257256252251250250999999999999999999237237237236235234234234235232230230232229228229227224221217214214213214211209210212214216218219220221222222223223225225225226225226226226225225224225226226226225225225225226225226226226227227227227226226226225226226226226226226226226227229230233234235236236236236236237238238239238238238236236235235236236235236237238240237237237236235235235235236235235235234234234234233234235234233233233232231230229230230230231230230229231232233234234234232230229228227227227227227227227228229229229230230231232234235238239239237238238238237238239238236237237237237237236237236236235236236237236237237237237237237237237235233233232232232232231231231231232232231231231231231231230230230230229229228229228229229229229231231230229228228227226227226225225225225226226226227227226225226226226225225224224223223225225225225224224223224224226225226228228228227225223221219219219218217217217216216216215216214214215216216216216216216216217219220221222223223223223224223223222222221221221221219221217217216217217217220220221222222222221221221221221220220221221221221220219219218218217215215214213213213213213212212211210210210210210210210210210210211211211211212212212211210210211 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999211210209210211212214216216217217216214212211213212212214215214214213213212211211212211211210209209210210210210210211211210211213215217219219219219221221222224225225225225225225225224224224224225225224224224224224224224225224225226226226226227228229230231231232232232233232232232232235239241241243247249252254257259258999999999999248248248250249248999237238236236235235235235234233233231229228230229228224222219216216217217215210216214215216219221221222222224226226226227226225225225226226226226225226227227226226226227227227227228228229229229229229229229229229230229228229229228228229229230232233235236238237237237237238238238239239238238238237237237238237237237237238239237237237236236236235235235235235235235235235234234235236236235234232230231231232232231230231231231231232233233234233232231230228228227226227227227227228228228229229230231233236238238239241240238238238238238237238236237237237237237237237237237237236236236237236236237237237236236237237236236234233233233232232233231232232232232232232232232233232231231231231230230230229230230231231231231231231230230229229229228229229229229230231231231230229227227226226226224224223222223224224224223224225224225225225226228228228228227226225221220219218218217217217216216217216215215215216216215215217217217218219221222222224226225226226226226226224224223223220221219219219219217218217218221221222223221222221223222222221221221219219221221220220221220218217215214213214213213213213212212211211210210211212211212212213213214214215216216217216215216216215 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999209208208209211212215217218217216214213212215216213212213215214215211210211211211212213212211211211210210210211211212213213213214216217219221221222222222223224225226227227228229228227228227226226226225226225226225224224225225226227227228230231231232234236237237238238237236236235235237239240242244247251254257260260259999999999999249249250251250249999237238236237236235235236236235234232231230231229228224221219219217219219216218217221218219219221223225225227228228229229229229228228227226226227227226226228226228229230229230231232233234233234232234233233233232232232232233232231231231232233234234237237239238238238238238238239240240239238238238238238238240239238239238238238237236236236236236236236236236236236236236236236236236236235232230231232232231231230230230231231231232233233233232230230230229229228229229229229229230231231232233235236237239240241241242241238238239239239239238238239238238237238237237238238238238237237237236238237238238238238239239238236235234233233233232232232233232232233232232234233233233233233232231231231231231231231231231231230230229229229228230230230230230230231231232232232232232232229227226226226224224224224224224224225224224225224225226227229228229230229226226223220220219218218218218218217217216215215216217217217217217217218220222223224226227228229229230230229229229228228223224225222221221221221220218219222223223223223223223223223222222223222222222222221221221220219218217216215214214214213213213213211211211210210211212214215215215216217218219220219218218218218218218 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999207207208210211213215216217216214213211212214215214211213214216212209209210210211212213213212212212212212212212212214215214214215217218219220220222222224226229230231232232233232231230229229228227228227226226225225224226226227229231233234236237239240241243244245245245245244243242240240240241242246249253255260261262259999999999999251253999250250999999238239238237237237236236235235235234232231231230227225221220219218220221220220218221220221222224225227228229231233235235235234232232231230228229228228228228228229229229231232233234235235235236237236236236235236235235234235234234233234235235236235237238239239238239239239239240241241241240240239240240240240240240240240239238237236236237237237237237237237237237237237236236236235234233233232232232231232231231231231232232232234232232232233231231231231232232233233233233234235236238238239239240240241243245243243241240240240239238239239239239240238238238237237238238238238238237238237238238239238239239239239238237235233232232232232232232232232232232232232233233233233233233232232232231232232232231231231230230229229230230230230229229230230231231232233233234234234234233231230229228225224225225226227226227226226226226227229230230230231231231228227224221220220220219219219218218217216216215216216217217217218219221222223225227228229230231232232232232230229230229230228228224225223223221221219221222224225224224225224224224224223222223223222223223222221219219218217216216215215214214214213213212211211211212213215216217218218219218219220220220220220221221221221 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999229228227223214999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999208208209210213214216217216214213211211212212211211211213214213211209209210211211213214214215215215214216216216217217217216215215216218219220221222225229231235236236236236235235234233231230231229228228226225226227227228229232234237239240242243244246247248249250250250250250250248247245246245247250252254259262261261259999999999999999999999999999999999238239238237237236236236236236235235234233232231229224222221220219218219219219222222223224224226229232233234235237238237237235235235233232232231229228230229229230229230231233234234235236236237238239239240239238237237237236235235235235236236236237238239239240240240240240241241242243244244243243242242242241242241241240239237237236238238238238238238238238239239239239238238238237236234234235235234233233232231231232233232233233233232231233232232232232233235236237237238239239241242241241242243243244245246243243242243241240240240239240240241240239239239238238238238238238239238238239239239239239239240240239239237235234232233233232233232232232231233232232233233233233233233233232232232232231232231231231231231229229230230229229229229230231232232232233235235235236236236236234233230229229229229229229230230229228228229229230231232231231231231231225224221220220220220220220220219219218217217216216217218219221222224225227229229230232233233235232233234233233232231232231229229227225224223222221222223224225224224225226226225225224225223223224224223223221220219218217217216216215215214214214213212212212212213214215216218219219220220220221221222221222222223223223 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999233232231231227224221218216222999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999212212210209209209211214215216216215214215213210208208208210212212214216212211211211212213214214216218218218219220220221221221221220218216217218219222225227231234236237237236235236236237236234234233232231230229227226226227229231234237240242245247249250250251251252253253253253254254253252251251251251252253254258262261999999999999999999999999999999999999999999238239238237237237237237237237237236235233234233229224223223222222220218218219223224225226226230233235236238238240241240240239240239237236234232233232231230230231231230231232234234236236236238238240241241241241240241240239237236236236237237237238239240240240241241242242242243243244244245245244243242242243242241242239238238237238238238238238238239239240241242243242241242241239239239238238236235234233232232232232233233234234234233233234234234235235236238238238240240241242243243243243244245245245246245244244244244243241240239240240240240240240239239238239238238238239238239239239239239239239240241241240240238236235234233233233233233233232233233233233233234234233233233233232232232233233233232231232232232230229230230230230231231232232234235235234236236237237238238238237235233233232232231231232233233231231231231231231231232233232232232231227225221221220221221221222221222220220220219219220221222223224226227229231231232232234235235234236236236235235235233233233231230229228226223223223222223223223224225226227227226225226225225225224224224223222220219218217217216215216215215214214213212213212213213214215216218220221221222221222222223223223224224224224 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999235235235235234232230229227226227226999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999213213212211210209209210212215216216216216215214212211209208210212212213215216214214213212213215215215216219220222223223224224224224224223223221221221224226228232235237238238238236236238238237238235235235234233232230229227227228231235238242245247251252253253254254254254254254254254254254254254254254254254254254255262262999999999999999999999999999999999999999999999238239239237237238238238238236236236235233234232228223223224224224223223222223224225226228231232235237240240242243243242242241241241241240239236234230231231232231231232234233235236237238238239241242242243243243243243243242241240239239239238238240240240241241241242243243244244244245245245244244243243243244242241241240240238238238238238239238239240240241241242243244243244243242239241242241241239238236235234233233233233234234235235234234236236237238239240240241242243243243243246246247248248249248248246247246245245243241240241241241241240240240240239239239239239239239240240239239239240240240241241242242241239237236235234234233233233233233234233233233233233234233232232232232232232232233232232232232232231231231230231232232232232232233236237238238238239239239239239239238237235234234234233233235235234233234234234233233234233233233232232230229227224221221221223224225225224223222222222222224225226227229231231232233234235235235236237236236236236235235235235234234233230229229228225224224223223221223224225225226227227227226226225225225224224224224222220219219218217217216215215214214213213213213213214214215216219221221222222223223224224225225225225226225 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999233235237237238237236235233233231231232229228999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999213213213211211208209210213216216216215215215215215212211211212213213214216217217216215215215216217218218221223225225226227227226226226225224225225225226229232235238238238238238237237237238238238238237236236235235233230229230231234239242246249251254255255254255254254254254253255254255255254254254255255255255255258263263263999999999999999999999999999999999999999999999999238239239238238238238238238238234235233233228224225225225225224225225224224226228231233234237240241244244245246245244245244243242242241239235232232233233232233233235235236237238239239241243244244246246245245245244245245244243242242241239240240240241241241242243243244244244245246246246246244244243244242241240238239239239239238239238239239241241241242243245246248248246247245244243243242242242240240239238238237237236236236235236237239240240242242242244245246246247247247248249249250250250249248248247246246245243242242242241242241242241241241240239240240240239240240240240239240240240241241242242242241240238236235234234234233233233233233233233233233233233232232231230232233232232231232232232232232231232232231232232233232233234237238239240239239240240241241240240239239238237234235235236236235236236236235235235235236235235233231231231229227224223223224226227227227228226226225225225226227228229231233234235236236237237235237236236236236236236236236236236235234233231230228227225224224223223223223225225226227228228227226226225225225225225224223221220219219219218218217216215215214214213214214214215216218221222223224225225225226226227226226226227226 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999235235236237238238238238237236235234234235234231233999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999214214213213212212211210209211215216216216215214215216216215214214214215215216216216217219219220220220222222223224225226228230231231230229228226225226226227229232234236237237238238237238238239239238239239239238237237236234232232232235238240245249252254255255254254254254254254254254254254254254254254254254254254255256261264263263999999999999999999999999999999999999999999999999999238239239238239239239238238235234235237228226227225225226226225227225226228232234234238241241242246245247248249248247246246243242243242239235233234234233235235236236237237238239239242245246247248247248248247247247247247246246244243241241240240241240240240240241242243244245246247248247247244245242242241240240239239239239239240239240240241241242245246249249251250251251250248247246245244243242245244244243243242241242241241242243244244245245246246247248249249250251250251251251251251251251251250249248246245243243242242242242241241241241241240240240240240240239240240240240240240240241241241241241241240239236235235235234234234234234234232234234234233232231230231231232234233233233234234234234234234234234235235234236236237237238239241242240241241242242241241242241240239238237237237237237237237237237237236236236236237235234232230231229227226225224226227227227229229229228228228228229230230233233236236237237238237237236237237237237236236236236236236236236235234232231229228227225225223224224224225226226227228228228227226226226225225225225224222221220220219220220219217216215215214215215215216218219221222224225225226225226226227227226227227228228 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999237237236236237237238238238237236236236236235236999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999215214213213213213213212212211210213216217217216215215215216216216215215215215216217217218219220221222222223224224225226228230232232232232230229228227226227228229231234236236237237237238238238239239240240240240240240238237237237235234235237239243248251254255255254254254254254254253253254254254254254254255255255255255256258264265264262999999999999999999999999999999999999999999999999999999239240240240240240239239238238238236230226226226226226227226227227230234235235240244244245246247249250251250250249249248246245245243241237235235236236236237237237237238238240242244247248249250250251250250250250249249248247246245242242241240240239239238238240241242242243245246248248247245244243242241240240239240240240240240240240242242243245247250252252252253253254252251251249249248246247247248247248248248247248249248249250250250250250250250250251251251251252253253252252252252252252252252250249248246244243242242242241241241241242241241241241241241240241241240241241241240241241242242242241242241239238236235235235234234235234233233234234231233232233232233232234234236235235237237236237237237238237238239239238239239240241241243243243244244244243242243242241241240239239239238238237236236236236235235236237236236236235234232232228226226225226227227227228229231231230230231230231232233234235238238239239239238237237237237238237237237236236236237237237236235233232231230229228226224224224224225226226227228229228227227226226225225225224224222221221221220220220220218217217216215216217219220220221223224225225225226226227227228228228228228228228 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999236237235235235234235235236236237236236236236236999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999217214214214214214215214213213212211214216217217216216216216215216216216216216216217218218220221222223223224224226227229231232233233233233232231229228228227228229231233235236236237238237239238239239239240240240240240240239237237238237237238239241245248252254255254254254254255255254254254254254255255255255256255256256256257261265265265263999999999999999999999999999999999999999999999999999999238240241240241240240237238238237234229226227227227226227228230232234237235238244246245246248248249251252254252253252252251250247245243240238236237238239239238238238238239241244249251252251252252252251251252252251251250249248246245243242241241241240239239239240242242243244245247249250248246244243242242241241241241241241241241241242244245250253254255255256256256255255254253253253253252252252252252252253253253254255253253254255254254253254254256256257256255255254254254254253252252252252252251250248246244243242243242242242242242242241241241241241241241241241241241241241241241241241242242241241241240238237237236235235235235234234235234234233234235233235236235235237237238239239240240241241240240240240241241242242241244243242244245246246246245244242242242242242241240239238238237237235234234234234234235235235235235235235232231228227225225226227227225227228230231230232232232232233234235236237239239238238237237237237237237237236236236236236236237237236236235233232231230229228228225224224225226227227227229229228228227227226226225224224223222221220221221221220219218218217218219221222223223224225225226226226227227228229229230230230230229228 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999237237238236234233232232231232233233233234234235235999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999216215214213213214214215214214213213212214216217216216216216215217216216217217217218219219220222223224224225225227230231232233234233233233233231230228228229229229230232234234236236237238237239240240241239239239239239240240239238238238239239240240243247250253255255255255255255254254254254254255255255255256255256256256256258261264266266266265999999999999999999999999999999999999999999999999999999999239241241241240239239238238235235228228228227227227229230231236234235237246247249248250251252253253254255256256255255252251250250247245243240238239239239239239238239241246250252252253253252252252252252253253252252252251250247246245244242241242241240239240241241241242243244246248249250248246245243242242241242242242241241242243244246250254255255256257257257257257258257258256256256256256256256257257256257257257257256257257257256257257258259259259259260259259259258256256255253253253252252252251249247245243243242242242241242242241241241241242241241241242242242242242241241242241241241242242241241241240239239239237237237238238237236235235235235235237238238240240241241242242241243242244242242244244244243243245245245245246245245245245246246245244242242242242241240240239237236235234234234235235234235236235235235236236235232231230228226225226226226227225227228229230232232231231233235236238239240240239239238238238237237237236236235235235235236237237237236236235234232231230230229229228227227228228228228229230230229228228227227226225224223222221221221222221221220220219220220221223224225225226227227227227228228228228229230230230231231230229 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999239240239239239239238236234232230229229229230231231233233233999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999220219218217216215214214213214214213214214213213215217217216215216217217218218217217218219221221221223224225226226227228229231232233233234234233233232230229228229231231231233235235236236234236238238239240241241239239240240240240240240240239239239240241240243248251254255255256255256256254255255255255255255255255256256255255256259261264266266265265264999999999999999999999999999999999999999999999999999999999238240240240240239238238236236235232229229229230229230230232233235238245251251251252253254255255256257257259259257257255254254253251247246243240239239239239239239241247251253253253251251251251251251251252252252251251252251249249247246243243243242241241239240241242242243243245247249251251248246244243243242242243243242242243244247252255256256256257257258258258258258258258258258258258259258259258258257258258258258259259259260259260260260259260260260261261261261260260259258256254253253252252252250248246245244243243242242241242242242242242241242242242243243243242242242242243242242242241241241241240240240240240240239239239239238238238237237238238239240241242242243243243244244243245244245246245245246246247246246246247247246246245245245245244244243243242242241240240238236235235235236236236237237238238238237237237236236234234232230228227226226227227228227227228229230230232232234236238240241241241240239239239237237236236236236236235235235235236236237236236236235233233232232231231230230230230229229229230231231229229228228228227227226224223222222222223222222222221220221221222224226226227228228228228228228228229229229230230231231231230230 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999242242241240240239239239238237235232229228228229230232232233233999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999228227227225222219219217217217216216215214214214214214214214216216217217217217218217220219219219219221220220224226227227227227228229230231233235236236235234233231233233232232232233233234235236237238238240239239240239240240240240240241241242243243242240240240240241242245249251254255255256256257256256257257256256257256256257256256256257259262263265266266266999999999999999999999999999999999999999999999999999999999999999999240240240240238238238234233232230231232230231231231232233235241245249253255254255255256257259260262261262262261260258258257255252250248246242241240240239240241247252253254253253250250249250250250251251251251251251251251251250249248247245244244242241241240241242243244243244246248251252250249246244244244244244244244244247249253255257257258258259258258258258259259258258258259259259259260260260259258259260260260261261261261261262261261262261262262262261261261260260259259259259256255253253252251249248247245244243243242242241242242242242242242242243243243243243243243242243242242242242242241241241241241241241240240240239240239239238239239240240241243242242243244245245246246246246246246248248248248249249248248248248248249248247247246244243243243243242242241240239237236236237237237238239241241242242241241241241239239237237235235233231230229228228228228228229230231231233234235237240242242242241240239239238237237236236236236236235235235235235236236237236236235234234234234233233233233232232232232231231232232230229229228228228227227226225224224223223223222221222222221222223226227227228229228228227228228228229229230230231231232232231230 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999241242242242242240240239239239239238236233230228230231231233233999999999999999999999999999999999999999999999999999999999999999999999999999999224226999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999227228228227226225223220220218219219218218218218218217216215215216216216218218218219219221220220220220221222223222226227227228228229229230231232234237240240238237236236235235235235234235236236236238238239239241241241241239241242241239240241241241244245245244241240241241243247249251253255256257258258257257258258257257258258259259259259259260262263264266266266267266266999999999999999999999999999999999999999999999999999999999999240240241240239237238235234233232232232232233234233234239243248250252255256257257258260261263264264265267265264263262262259257254252252248246243241240241241246252254254253251250249249249250250249250250251251250251251251251251251250248247245244243242242242242242244245244244245248250252252251248247245245246245245246248251255256256257257258259259258259259259259258259259260260261260260260260259259258259261260261260261262262262262262262263262263263263262262262260260259259259259258258257255253253252251249245244244243242242242242242242242242242243243243243243244243243243243243242242242242242242241241241241241241241241242240240240240241242243243244244243244246246246247247247248248249249249249250250250250250249248249249249249247247246244243242243242242241240240238237236237238239241242243245246246246246245244244244243242241240238238237235234234233232232232232233233235235235236238241243243242241239239239238237238237237236236236236236236236236237237237236236236235235235234234234234234234233233234233233233232231229229229228228228227227226226225224224223222222222224223223225227227228228228228227227227228228229230230231231232232233232232 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999241242242242242241240239239238239238238237235233232232233234236999999999999999999999999999999999999999999999999999999237238237233236236236235237230233237243999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999225227227227226225224222220221221221221220220220220221221221221220219219220222223223224224224224224223223223223222224227228228228229229230231232233235238244245244242241241240240240241240240241242242243243243242241241240241240241241241242242242241243245247247247245242241243245248249251253255256257258259258259259259260259259260260261261262262263263264265266266266267267267265999999999999999999999999999999999999999999999999999999999240240241239238237236235234234233233234235236236238241246249252253255254257258259261263265266266267269269268269266266264262261258254250251247245243243242245252255255253252251250249249250250250250250250251251251251253252252253252252250248247246245244243243243243245245246245245248249252253253251249248247247247248249251254256257257256257257258258258258258258258258259259259259259260260260260259259259260260260261261261262262263262263263263263264264264263262262262262262261260260259258258257255252252251250247245244244243243242242242242243243242243244244244244244243243243243243242242242242242242241242241242241241241241241241241242242243244243244244245247248249249250250249249249249249249249249250250249250249249248248249248248247246245245244243243243242241240238237237237238239241242244246247248248248247247248247247247246246246246244244243242241240239239238237237238238237237238240242243243241240239239238238238237237237237238237237237237237237237237237237236236236236235235235235234234234234234234234234233233231230229229229229228228228227227226225224225224224223223223225227228228228228229228227227227228228228229230231232232232232233232 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999241242242242242241240239239238238238238238237236234233234235236236239999999999999999999999999999999999999999999999240241241240239238237238238238238238239242243999246244999999999999999999999999999999999999999999999999999999999999999999999999999999225228229227226226224223222221220221223222222221221220221221221222223225226227229230230231231231231231231230229226225225227229229229229230231232233235235239244246247247246246247247248249249249248248248248248247247246245244243241241242242242243245246246248248248248247246243244246248249251253256257258259259258258260260260261260260260260262263263263264265265265266266267268268267999999999999999999999999999999999999999999999999999999999240240240239238237237236236235236236236236238239242247250254254256256257259261264266267267267268270270269270270268269266265263261257252249247246245244245252256254254252251250250249249249248248249249249249249250251251252253252253252251249249248247247246246245246247247246245246248250251254254253252251251250250250251254256256257257257257257258257256258258258258258258259259259259260260261259259259259260261261261261262263262263263264264264264264264263263263263263262262261261260259259259258257254253252251248246245244243243242242242242243243244245245246246246244244243243243243242242242242242242242242241242241241241242242243243245246246246246248249251252252252250251250249248248247248248248248249248248248248248248249248247247247246245245244242243242241241239238237237238239240242243245246247249249249249249249249249250249249249249248248248247246246245244243242242241240240241241242243244243241241240239239238238238238238238238237237237237237237237237236237237237237237237237237237236236236236235235234234233233233231230229229229229228228228227227226225225225225225225226227229229229229228228228227227226227227227228229230232232233233233233 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999243243242241240240239239238238238238238238238236235233234237999999999999999999999999999999999999999999999239239239239240240239238237237237238238239240241242245244245245245242999240999999999999999999999999999999999999999999999999999999999999999999999228227227226225224223222221220221222223222222221222221222221222225228230232234235235236235235235235235234234232229226228229230230230231231233234236236240244245247247247248250250250250251251250250250249249250248248248247247246246245247247248248250249251251250250249247247245246248249250253256257259260260260260260261261261260260260260260261262262263265266265266267268269269269999999999999999999999999999999999999999999999999999999999999239240238237237238238239238239238238238240244249248251255256257258261264266267267268268269269269270269269269270270268268266263260255251246246246245251255257257255252250249249248248248248248249249249249248249250251251252254253253252252250249248247247248248248248248247247247249250252253255255254254253253253253255257257257258257257257257257257257258259258258258258258258258258260261262262261260260261261261261261263264264264265264264262262262262261261261263263262262262262261260259259258258255254253251248246245244243243243243243243244245245246247247248248248246244243243243242242242242242242242242241242242242244245245245248249249249250252252252253252250249248247246246245246246246246247247247246246247247248248248247248248246246245244244243243242241240238238238237238238238240242245247248249249249249250250251251251251251251251250250250249249248247247246246245244243243244243244244244244241240240240240239239238239239239239238238238239239238238238239239239239239239239239239239238238238237236236235234233234234233231230230230229229228228228227227226226226225225226228229230230229229228228228227227227227227228229230231231232233233233233 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999242242241240239238238238239239239239238238236235235233233236999242999999999999999999999999999999999240240240239238238239238238236235235236236237237238239240242243244246245245244243999999999999999999999999999999999999999999999999999999999999999999229229228227225225224222221221222222223223223222221221222223225226226228232236238239239239239238238237236236236236234230228229231230231231231234235237238242245246246247247249251251252252252252252251250250249250250249250249250249249249250251252253253254253253253253251250249247248248249250253255257259260261261261261261261261260261261261261260261262263265265266266267269269270269999999999999999999999999999999999999999999999999999999999239239239238237239240241241240239240239240242246249251252256257258261265267268269270270270271270271270270270271270269271268268265261256251248246246249254256257258256251250249249249248248248248247247247247248248249250250253254254254254253252251250249248249249249250249250249249249251253254255256256256256255256256257258258258258257259259259258258259259259259259259259258258258259259260262262262261260260261261261262264264265265264263262260260260259260260260260261262263263263262262261261260258256254254251247246245244244245245245245246246247248248249249249249249247246245244243242242241242242242241242243244244245246248248247250252252253253253252251250249248247246246245246245245245245246246246246246246247247248247248248247247247246245244244243242242241240238238238238238238238240242244247249250250251251251251252252252253253252252252252251251251250250249248248247246245245245245245245245245243241240241241241240240240240239239240240240240240239239239240239240240240240240241241241241240240239238237237235235235234234233232231231230229229228228227227227226226226227228229230230230229228228229229227228228228228229229231232232233233234233233 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999243242241239238237237238239240240240239239236234233233233233234234237240239241999999999999999240240240239237236237237237238237235234233231231232233234235236238241242242244245245246248245999999999999999999999999999999999999999999999999999999999999235232231229226225225224222222222222222223224223221221222224224226227227230235239239240240240240240239238238237237236236234230229230230231232231233236238240243245247246248248250252252252252252252252252251251251251250250250251250251252253254255255255255255256255255255254253252251248248249250253255256258260261262262262261261261261261261261261261261261262264265266267269269270269999999999999999999999999999999999999999999999999999999999238238238238237238241243243242242240240240242246250251253254255258262264267269271272271272271272271271271271272270271271270270268265261256253249246247254257257258259257252250249249248247247248248246246246247248248249250251253254254254254255254254253253251250249250250251251251251251252254255256257258258258258258259259259258259260259259260260260259259259260259259259259259259259259260260261262263261260260260261262264264265265263262260260259259259259259259259259260261262263263263263262262260259256255253252248247246246246246246246246247248249250251251251251250249247246245244243242242242241242242242242243245246247247250249251253253253253252251250250249249248247246245244245245245245245245245245245245245246247247247247247248247247245245244243243242242241239238238238237238238238240242244247248250250251252252253253253253254252252252252252252251251251251250249249248248248246246246246246245245244242241241241241240240240240240240240240240241241240240240240240240240241241241241242242241241241241240239238237236236235235234233232231230229229228228227227227227227228229229230230230230229228229229229228228229228229230230232233233234234234234233 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999243243241239238237237239240241242242241239237234232231230230231233234236239240999999999999999240239240239237234236236236236236235234233232231229229229229231234235237238239242243244245246246999999999999999999999999999999999999999999999999999999999999234234230228228226225224225225222223223223224224223223223225226228227228231237240242242241241241240240238238238237236235236234230231230231232232233237240242243244246249249250252252252252252252252251251251251251251251250250251253254255256256256256256255255256256256256255255254252250249248249252254255257259261262262262262261261261262262262263262262261262264265266267269270270999999999999999999999999999999999999999999999999999999999999238239238238238241242243242241242241241242245249252253254256259261264266268270271273273273272272272272273272272270271272271270269266262257252249248250256257259259259258254251250249248248247247246247246247247247248249250252252255255255255256256256255255253252251251251251251251251251253255256257258258259259259260260260260259261262261262262263262262262262261261260260260260260260260261260261262264263261262260261263263265265264262261259259258259258258258258258258259260261262263263264263263262260256255254252248248248247247247247248249249249250251251251252252251250248247245245244243242242242242242243244244247248249251252253254254253252251251250250249249248247246245244244244244244244245245244245244245245246247246246246247247246245244244243243242242242241240239238238237238238239240243246248250250252252253253253254254254253252252251251251251250251250250249250250249249248248247247247246246246245243241241240240240240240240240240240240240240240240240240240240240240241241241242243242242242243242242241240239238237236235234234232231230230229228228228228229229229229230230230230230230229229229229229229230229229230231232233234234235235235234234 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999238238237999999999999999239999999243243243242239237237237238241242243244243242238234232230227226227230232235238240999999999999999240240239239238237236237237236234233234234234234231230230229228229228230233234237239240243244246999999999999999999999999999999999999999999999999999999999999999999999229227228227225225225225224224225225225224224224225226228228227228234238242243244244242241241240239238238237236235235236233231231231231232234238242244245246247250252253252252252252252252251251251251251251251251251252254256257257257257257257256256256256256256256256256255254252251249250250253254255258260262263263263263263263263263263264263263262262264265266268269269268999999999999999999999999999999999999999999999999999999999999238239238239240242243241242243243243244246250252254256257258261264267268269271272273274274273273273273273272272270272271272270268265262258254250249254256256258260260260258254251250249249248247246247246247247248248249250252252255255255256256257257256256256255254253253253252252253253255257258258258259260260260261262262262263263262263263264263263263263263263264263262261261261261261260260261262264264263262262261263264265265263261260259258258257258258258258257257258259260260261262262262263262260258255254252249249249248248248249249249250250250251251251252252252251250248246245245244242242243242244245247248250250252253254255255254252252251250250249248247246245244245244244244244244244244244244245245245245245245245246246246246246245244244243243243242242241241240239237237238239240242245248249250251252253253254254254254253253252250250249250249249250250249249249249250249249249248247247247247247246244242241241241241241241241241241241241241240240240240240240240240241241242243243244243244243244244244243242241240238237236235234232230230230229229229229229229229229229229229230230229230230230230230231231231230232232233233234235236237236236234234 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999241241241240999999249243240240243244243241240238237239241241243244245245244241237234230228225225226230234236239999999999999999237239240239239238236235235235234233234235237236235233233234232228227223225228230233235237240243244999999999999999999999999999999999999999999999999999999999999999999999999999228228226225225225225224225225225225225224226227229229228231236240243245245244243241240241240238237236236236235235236231231232231232234239243246248250251252253253253253252251251251251251252251251251252252254256257258258258258258258258257257257256256256255256256255256255253252251252253254255258260263263262263263264264264263264264264263262262264266268268269269267999999999999999999999999999999999999999999999999999999999238239239242242241243242242243244244244246249252253256257260261264267268269271272273274275274274274274274273272271272271271271271269266261258254250250254256256257258261261260258253251250250249248247247247248248249249250252252253256256256256256257258258258257256256255254254253255255256256257258258259260261261261263264264264264263263263264264263263263263264264264264264263263262262262261261261262264264263262262263264264265264262261260259258258257257257257257257257257258259259261262262262263263262260256255252250250249250250249251251251251251251250251251252252252252251249248247246245245244244244246248250251253254254255255256255254252251251250249248247247246245244244244244244244243244244245245244245245245245245245246246246246246245244244244243243242242241241241240239239240241242245248250250251252253254254255255254253252252250249248248247248248248248248248248249249249249249248248248248247247246245244242242242242241241241241241242241241240240240241241241241241241242243243244244244244245245245245244243243242240238237236235233231230230229230229229229228228229229229230229230230231231231231232233232231233234235235235235236237237237236236235 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999248244243244243242242246243242243243242241239237237238242243244245245246246244241236233229226225223223227999999999999999234234235237238239238237236235235235235235235237236237237236235235236234233229226222222225229231235238241999999999999999999999999999999999999999999999999999999999999999999999999999999999225226225225225225225226227225226228228229229231230231234238243245246245244242241240240240239237236236236236235236233230231232233235240244248250251252252252252253252252251251251250251252252251252253256257258258259259259259259258258258258257256256256256256255255255255255254253253254255257258261263264264264264264264264264264265263263263265266267269269270268999999999999999999999999999999999999999999999999999999999240241241242244244243243244245245246246247250251254257258259261263266269270271272273273275274273274273273273273273272271271271271270268266262258255251252255256256256258259261261261258254251250249249248249249250250250251252254255254256257257257257257257258258258258257257256256255256256257257258258259261261262262263265265265265264264264264264264264264264265264264264264263263263263262262263264264264264263263263262263264266265264262261259258258258258257257257257257257256257258259260261262262263263263261258255252251251250250251251252252252252252252252251252252253252253253252251249248247246246246247248250251252254254255256256256255254252251251250250249247246246245245244244244243243243244244244244244244245245245245245246246246246246245244244244243243243242242242241241241241243244246248250251252252254254255256255253252251249249248247247247247247247247247247248248248248249249249249248248248248248247247246245243242242242242242242242242242242241241241241241242241241242242243244244244245246246246246245245245244243242240238237236234232231230230230229229229228229229229230230230230231232233233233234233234235235236236236237237237237237237237236235 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999236242244245244244244244243243242242241240239238237238240243244244244245245246244240236231228226225225221999999999999999999234235236238239239239240239238238238238238238238237237236236236236238237234230227219218221225228234238999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999224225225225226227226227227228229230231231233234237240245246246245244242242241240239239239238236236234234235235232231232233236241246248250251252252253252252252252252251250249252252252253254256258259259260260260260259259259258258258258258258256256256256255255255255255255254254255256258261263264264264264265265265265264265264264265266268269270270271268999999999999999999999999999999999999999999999999999999245244244244245246247246246246247248248249250253255257258260261263265268270272272273274275275275273272272273273274273272272271271271271268265261258254252254256256256256257258261262262260259256253252251251251251251251252253253255255256256257257257257257258258258259258258258257257256257257258258259260260261262262264265265266265265265264264265264264264264264264264264264263263263263263263263264264265265265264264263263263265266265264262261259258258258257257257257257257257257257258259260260261262263263263262259256253252251251251252252252253253252252252252252252252253253253253253253252251250249250251251251252252252253254256256257256256254252251251250249248247246246245245244244243243243242243243244244244245245245245245245246246246246245245245244244244243243242242242242242243244246247249250251252253254255255256255254252250249249248247247247247247247247247247247247247248248248249249249249249249248248248248247246245243243243242242242242242242242241241241242242241242242243243244244244245246247247247247247246246246245243242241238236235233231230230230230229229229228228229229230230232233234235235235235236236236237237238238238238238238238238237236236 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999239242245246245245245245245244243242241240239239240242243244245244243243244244243240235231228227228229229229235236237237238237238239240241242242242241241240240239240239239238237237236235236237236233229223218216219223227233238240247999999999999999999999999999999999999999999999999999999999999999999999999999999999999999223223226226227227227227229230231232234235237239243246247247246244243241240239238238239239237236235233234235232230232234239244247249250251252252253253252252252251250251251253253254255257258258259260261261261261261260259259258258258258258257257256256256256256256255255256255255258258262263264265264264265265265266265265265266267267271270270270270999999999999999999999999999999999999999999999999999999999246247247249246247247248248248248249249251253256258258260262263266268270272273274275275276275275273272271272273274273272272271271272271269266262258254253255257257257257258259260262262262261261258256254254253253252253253254255255256256257257257257257257257257258259258259258258257257258258259259260261261261262264265266266265265265265265265264264264264265264264264264263263263262262262263262264264264265264265264263263263264266265264262261260259258258257257257257257257257257257259260260261262262262263263262260258255253252252252253253253253253252252252252252253253253253253253252252252253252252254254254253253252253253254255256256257256254252251250249249248247246245245244244243243243243243243244244244244244245245245245246246246246245245245244244244244243243243243243243244246248248250251251252253254255256256255254252251249249248247247247247247247247247247247247247248248248248249249250250249249249249248248248247246244243242242242243242242242242242242242242242242242242243244244245246246247248248248248248247247246246245243242240238236234231231231231231230229229229228228229230232233235235236236236236237237238239239239239239239239238238238236236236 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999234239242244245246247247247246245244243242242242243243245245245245244243243243243241239235231229228228230232234237239240240239240240240241242243243242242242242241240239240240239238237236236236237237235232223217216218222227232237242999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999225226227227227227229230231232235237239242246248248248247244243241239239238238238238237237236236233234231230232235242246249250250252253253253253252252251252252253254254255256257257258258259259259260260261261261260259259259259259258258257257256256256256256255257257257258260259261263264265265264265266267267267266267268269269271271271270999999999999999999999999999999999999999999999999999999999248249250248248248248248248248248250251253256258259259260261263267268270272274275275276276275275272271270270271273273272272272271271271271269265261257254254256257257258258259259260260261261263263261260259256255255254255254254255255256256257257257257257257257257258258259259260259258259259259259260261262262262264265265266266265266266265265264264264264264264263263263263263263263263263263263263263264264264264264265264263264264265266265263262260259258258257257258257258258258258258258259261261261261262263263263261258256254253252252252252253254253253252251252252253253253253254253252252253253252254254255254253252253253253253254255256257257255252251250249249247246245245245244244243243243243243243244243244244244245245245245245246246246246245245245244244244243244244244245246248249250250251252252253254255256256256255253251250249248248248247247247247247247247247246247247247247248248249249250250250249249249249249248247246244243242242243243243243242242242242242242242242242243243244244245246248248249249249249249249248247247246244243241239237235232231231231231231230230230229230230231233234235236236237238239239240240240240240240239240239239239238237237236 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999238241244246247247248248247246245245244245245245245248247247246244243243242242240238236233231229229230233237239241242242241241241242242242243242242242242241240240239240241240239237237236236237236236233229217214217220226229236999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999223225227227228228230231232234236238241245248249249249247246243241239238238237237237238238237236234235231232233237244248250251251252252253252252251251252252254254254255256256256257258258258259259260260260261261261261260259259259258258258258258257257256257257257257260261261261263263264265265265265266268268267267269269269270271271270270999999999999999999999999999999999999999999999999999999999252252251251250251250249249250252253256258259260260261262263266268270272273275275276276276274272270269269270271273273272272272271271271271268264260257255256257257258258259260261261261261263262263262262262260259258256257256256256256256257257257257257257257257257258259259260260260260260260260261262262263263265266266266266266266266265265263263264264263263263264263263263262261262263263262262263263263263263264265265264264264265266267266263262260259259258258258258258258258258258258259260261261261262261262263262261258256255254253252252252253253253253253253253253253252252254253254254254254254254254255255254253253253253252252253255256258258256254252251250248247246246245244245244244244243243243243243243244245245245245245245245246246246245245245245245245244244244245246248249250250251252252252253254256256257256255253251250249248248248248247247247247246247247246246247247247247248248249249250250250250249249249249249248247244243242242243243242243243242242241242242242242242243243244245246247249249250250250250250250249249248246246244242240238236234231231231231230230230230230230231233235236236237237240240241241241241241241241241241241241240239239238238237 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999235240244245246246246247247247247248247247247247248249249248246245244243242241241239236234232231229230233237240242242243242242242242242242242242242243242242241240240240242242240240238237238237235231230225217213214218224999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999223226228229230231232232234237240244247249250250250249247245242240239238238237238238237237236236233232232234241245249250252252253253254252253253253254254254255255256256256256256256257258259260260260260261261261261261260260259259259259258258258258258258258258259261262262264265264265265265266266273268268268269269270270271271272270999999999999999999999999999999999999999999999999999999999999254253252252252252251252253254256258259259260261262263264265267270271274275276276277277275273272269269270271272273273272272272271271271269266263260256255257258259259259261262262262262262263263263263263264264264262261261259258257257257257257257257257257257258258259259259261260260261261262261261262263264265266267267267267266266265264264264264263263263264263263263263262261261262263263262262262262263263264264265265264264264265266267267265263261260259259258258258258258259259259259259260261261261261261262263263261259257256256254252253253253254254254254255254254253253253254255255254255255254255255255254254253253253252252252253254256257258257255253251250249248246246245245245245244244243243243243244244245245245245245246246246246246246245245245245245245244245245247248250251251251252252253253255256256256257256253251251250249248248248248247247247247247247246246246247247247247248248248249250250250250250249249249249249246245243242242243243242243243242242242242242242242243244244245245246248250250250250251251251250250249249247246245243242239238235232231231230230230230230231231233234236237238239240241242242241242242242242242242242242242241241241240239238 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999238244246244244245246247248249249249249249250251250249248246245244243241241240239236234232228226226229233237239241241242242243243243243242243243243243243243243242242243242241240239239238236234231226221218218213218224999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999224227228230231231231232236238242244247249250251251249248246243241242239239239239238238237236233232232233237243246249251252253253253253253253254254255254254255255254254254254255255255256257259259261261261261262262262261261261261260260259259259259259259259259260261263265265266266265266266266268268267268271271272271271272272273272999999999999999999999999999999999999999999999999266264262999254253254253252254255257258258259259259260261262263264266266269271273275276278278278277275273271270270271272273273272273273272272271271268264262260256257258259259259261261262262262262262264263264265265265265265264264264263263262261260259260258258258258258258259259259260261261262262262262262262263264264266267267267267267266265265264264264264263262262262262262262261261261261262262263263263263262263263264264265265265265265265266267267266265262261260260259258258258259259259259259260261261261261262262261262263262261258257256255255255254254253254254254255255255254254254255255256255255255255255255255254254253253253253252253253254255257258258257254252251249247246246246245245244244244244244244244245245245245246245245246246246246246246246245245245246246247247248249250251251252252252253254255255256257256256254253252250250249248248248247247247247247247247247246246247247247247248248248249250250250250249249249249250249247245244243243243243243243243242242242243242243243244244245245246248250250251251251251252251251250250250249247246245243241239237234231231231230231231231232233235237237238239241241242243243243243243243243243243243243242242242242241240239 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999258242241241242244245247248250250250250251251251250248246245244243241240239238236234231227226226228230233236238239240241242243243243243243243243243243242243243243243241242241241239237235236236230225224221213217222999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999226229231231230233235238240243245247249251252252251249247245243243243241240239239239238237232233233235241245248250253254254253253254254255255255255254255255254253253253253254255254256257258259260261261262262262262263263263263262262261260260260260259259260260262264266267268268267266266267267267999269270272272272272272272273272999999999999999999999999999999999999999999999265263264262263257253253253254255258258259259259260261262263264264266267269271272274277278279279279276275274271271271272273274273273272273272272271270266263261259256257258259259260261262262263263263263264265265265266265266265265266266266265265265265265264263260260259259260260260260261262262262262262262262262264264265266267268268268267266265265265264264263263263262262262262262262261261262262263263263263263264264264264265266265265265265265266267267267266264262261261260260259259259259259260260260261261262262262262261261262262260259258257256256256256256255256256256255255255254254254255255255255255254255255254255255254253253253253253253254254256257257259258256253251250248247246246246245244245244244244245245245246246245246245246246246246246246246246246245246247248249250251251252252252252252253254255255256257256256255254253251250249249248248248247248247247247246246247247247247247247247248248248249250249250250250250250250250249248246244244243243244244244244243243243244244244244244245245246248250250251251252252252252251251250250250250248247246244242240238236233232232232232232233234235237237238240241241242243244244244244244244244244244244244243243243242242241240 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999243241239240241242244999250250249250251250250248246245245244242241240239236234233231229228229231233236236238239240242242243243243243243243242242242242242242243243244243242239239238239238233230226221214217999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999223228233235237237238239241243244247249251253253253251250247246244244243241240238237236233233234235237243246249252254255254255254255255255255255254255255254254253251251252253254254255256258259260261262263263263263263264264264263263263261261260260260260262261262263265266268267267267266266266999999268270273273272272272273273999999999999999999999999999999999999999999999263264265265263262259255253253256257258258259260260261262263263264265267269270272274276278279278280279277275272271272272273273273273273273272272271269267265263261259258259259260260260262262263263264263264264266266267266266266266266267267267267267267267267267266266264263261261261260261261262263263262263263263263265265266267268268268268267266265265265264264264264263262262262262262262262262262262263263263263264264264264264265266265265265266265266266267267267265264263262261261260260260260260260260261261261261262262262262262262262262260259258259258258258258258258258257257257256255255254254254255255255255255255255255254252252252253253253254255256256257258259259258254252250249248247246246246245245245245245245245245246246246246247246247246247247246246246246247248249250251251252251252252252252253254255256256258257257256255254253251250249249248248248248247247247247247247247247247247247247248248248248249249250250250250250250250250250249247245244244243244244244245244244244244244244245245246247248249250251251252252252251251250249249250250249248248247245243241239237236234232233233234235235237240241241241242242243243244244245244244244244244244244244243243243242242241240 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999247247249250250249248247246245245244243243241239238238236233232232232233234236237237238240241242242243242243242242242241242241242242244245244242241239239240239235229226219210214219225233999238999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999226233238240240239240242243244246249250252254255254253250247246244244244240239239236235234235236238244248250253254255255255255256255255255255255255255254252252252252253253254254255257258259260261262263263264264264264264264264264264264263262262261260261262262263264266267268267267267267268999999999270273273272272272273999999999999999999999999999999999999999999999999261263263263262261258255254256257258258259260261261262263263264265267270271272274276278279280280280279278275272271273273274274273273273273273272270269266264263261259259259259260260261261262263263263264264265265266267267267267267267267267267268268269269269269268268268267266265262261262262262263262262263263263263265266267268269269268267267266266266265265265264264263263263262262263262262262262262263263264264264264264264265266266265265265266266266266266267267267266264263262262261261261260260260260261261261261261262262262262262262263262261261261261261261262261261261261261259258257257256255254255255255254255255254254253253253253254254255256256257257258258259259259257254252250249248247247246246246246246246246246246246246246247247247247247247247246246247248248249250251252252252252253252252253253254255257257257257257256255254252251250249248248248248248247247247247247247247247247248248248248248248249250250250250251251251251250250251250248247246245244244244245245245245245245246246246247247247249250251251251252252251250250250249249248249249249248247245244242240238237236236235236236237238240241242242242243244244245245245245245245245244244244244244244244244243242242241 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999246249250250250249248248247246246246246245244243243241240238237236235235235236236238239239240240241241241241242242241242242242243244245244243242242240241241239236231222210215222227231999999999999999999246999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999233239241240240241242243244246249250252254255256254252250249246244243241241239237235236238238240245249251254255256256256256256255254255255255255255255254253253252253253254254256258259259261262263263264264264264264264264265265264265266265264264263262262263264264265267268268268270268268999999272273272272272270999999999999999999999999999999999999999999999999999999261262261261260259258257256256258259258260260261262263263264265266268271273274276278279279280280281279278275272273274273274274273273273272272271269268265264262259258260260260260261262262263263264265265265265265266266267267267267267268268268269269269270270270270270269270269269267265263263264263264263264263263264266266267268268269268268267267267266266265265264264264264264263263263263263263263263263264264264264265265265265266266266265265265266266266266267268267267267265264263262262262261261261261261261261262262261262261261261262263263263263263262264264264263264264264263263262261260259258256256256255255255255255254254254254254254254255256256256257258259259259259258256254251249248248247247246246246246247247246246246246247247247247247247247247247247248249249250251252252252252253253253253253254255256257258257258258257255254253252250249248248248248248248248247247247247247248248248248248248248249249250250251251251251252252251251251250249248246246245245245246246246246246246247247248248249249250251251251251252251250250249249249249249249249249249248246244243241239238237238238237237239240241242243243244245246245245245246246245245245244244244244244244243243243243242242 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999250247250250251251250249248247247247247247247247246999999244243242240239239238238239239240241240240239240240241241242242242243244245245245244243243242241242242240235228213222229225224228233999241226243244249246241999253253999999999999999999999999999999999999999999999999999999999999999999999999999236240241242242244245246248249250252254255256256254253249248243247244240243239236237240238242246250252255255256256256256256255255255255256255255254255254253252253254254256257257259260262263264264264265265265265265265265266265266266266266266265265265265265265266267268270270270268269999273271273272271999999999999999999999999999999999999999999999999999999999999999262260260260260259259258257257258259261261262263264265266266268270272275276277280280281281280280280278275272274274274274274273273273272272270268266264263261260260261261260260262262263263263264264264265265266266267267268268268268268268268269270270271271271271271271271271270270269268266264264264264264264264265267266268268268268268268268267267266266266265265264264264264264264264264263264263264264265265265265265265266266267266266266265265266266266266267267267268268267266265263263262262262262262261261261261261262262262262262262262263263264264264265266265266266266266265265264264263263261260259257256256256255255255255255254254255255255256256257258259259259259260259257255253250249249248247247247246246246247247247247248248248248248248248248248248248249250250251252253253253253253253253253254254255256257258258258258257256255253252251249249249248248248248247247247247247248248248248248247248248249250250251251251251251252252252251251251251250249248248248248247247247248248248248248249249250251251252252252252252250250250249249249250249249249250249248247245243242240239239239239239240241242243243244244245246246245246246246246246245245244244244244244243243242243243242241 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999248247250249251251250249249249248247247248248999999999999999246245244244243243242243244244243242241240240239239240241242242243244244244245245245244243243242242242239234228227231229223226228232237239242244246245247248253255999999999999999999999999999999999999999999999999999999999999999999999999999999237242243245246248250251251252253254256257257256254251248248247244244243239236240240243246247250252253254254255256256256256256257256257257257258257257256256256255255256257258258261264264264265264266266266265265265265265266266266266267267266267267267267268268270272272273272270270271271270272277999999999999999999999999999999999999999999999999999999999999999999262261261261261260260258258257258259260262263264265266266267269271274276277279280281282281281281280278275273274274275273274274273273272271268266265264262261261261261261261260261262262263264264264265265266266267267267267268268268268269269270270271271271271271271271272271272272271271270267265264265265264265265266266267268268268269268268268267267266266266265265265265264264264265265264264265265265265266266266266266266266266266266266266266266266266266267267268268269269268267266264263263262262262262262262262262262262262262262262262263264266267267268268269269269268268267266265265265264264263262261260258257256257256255255255256256256256256257258259260260260260260259258255254252250249249249248247247247247247247248248248249248249249249249249249249250251251252252253253253253253253253253253254255256257258259258258258257256255254252251250249249248248248248248247247247247248249249249248248248249250250251251251252251252252252252252252251251251250250250250250250249249249249249249249250251251252251252252253252252251251250249249250249249249249249249248247245244243241240240239240240242242243244244245245246245246246246246246246246245245244244244243243243243243243243242242 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999244245247249251251251251251250249248249999999999999999999999999999247247247247247247247246245244243243242241239239239241242243243243243243244244245245246245244243242240236234234232229229229233238242243243244246247249250252999999999999999999999999999999999999999999999999999999999999999999999999999999999239243245247249252253253253254255256257258257255254253252252250244245244243243245245249250251253254253253254254256256257256257258258258258258259259258257257257257257260260261264265265265265266265266266267266266266266266267266267268268268268268269269269270270272271270271272272271271273272277999999999999999999999999999999999999999999999999999999999999999999262263262261261261260260259258259260261262264264265267267268270273275277279280281282282282281281280279276274275275274274273273273272271269267266264263262262262262262261262262262262263264264264265265266266265266267267268268268268269269270270271271271271272272272272272272273273273272272271269265265265266265265265266268268269269269269268268268268267267266266266266266266265266266266265265265266266266266267267266266266266266266266266266266266266266266266267267268268269269268268267267265264263263263263263262263263263263264264265267268268269269269270269270270269268267267267267266266265265264263263262261261259258257257257257257257258257257258260260261261261261260260259257255254252251250250249249248248248248249249249249249249250250250251251251252252252252252253253253253253253253253253254254255256258259259259259258257256255254252251251250249249248248248248248248248248249249249249248248249250251251251252252252252252252253252253252252252252252251252251251251251251250250250250251252253252252253253253253252251251250249249249249249249249248248249248247246244243242240240241241242243243244244244245246246246246246246246246246245245244244244243243243243243243243243242242 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999241243246247250252252253252252251251250249999999999999999999999999999999999248248249249249247247246246245243241240240239240241242243243242241242243245247247246245244244245241237236235233233235239241242242240241242244247248248250253249999999999999999999999999999999999999999999999999999999999999999999999999239242245247249252254254254256256257257258257256255251251251253249247245247244248246250251253254254253254254254255256257257257260261257258258259259259258257257258259260261264265266265265266266265266266267267267267267266267267267268268269269269270270270270271273271272272271271271273272272999999999999999999999999999999999999999999999999999999999999999999999999261262261262262261261261261261262262263265266267268269271273275276278280281282283282282282281280279276276275275275274274274272271269267265264263263263263263263263262261262263263263264265265265266266266267268268268268269269269270271271271272272272272272272273273274274274274274274273273272270267265266266265264266267269269270269269269269268268268267267267267267266266266267267266266266266266266267267267267267267267267266266267266267266267266266266267267267268268268269269269269269268268268267266266266266266266267268268269270271271271270270271271271270270269268267266266266266266266265265264264264263262261260260259259259260260260260260260261261261261261261260260260259257255254252251250250249249249248248249249250250250251252252253253253253252253253254254253254254254253253253254254254254255256258259260259259259258257256255253252251251250250249249249249249249249249249249249248248249250251251252252252252253253253253253253253253253253253253252253252252251251251251251251251251252252252252253253253252251250249249249248249249248249249248248249248247246244243242241241241242243243244244245245246247246246246246246246246246245245244244244244244244243243243243243242242 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999242246248250251252253253252252253252999999999999999999999999999999999999999999999999999999999999999999245242240238239240240241242243243242242244245247248248248247247247247244240237237236237238238240240238238240241240243245247999252999999999999999999999999999999999999999999999999999999999999999999999999999999240244247250252254254254255256256257258258257255253252251254252250246246248248248251251253252254255254254255257256258259258260261257257257258258259259258259260261262263265266266266266266266266266266266267267267267267267268268268269269269999999270272272273274273272272272271272272271999999999999999999999999999999999999999999999999999999999999999999999999999260261262263263262262262263263264264265266267268269271273275276278280281282283282282282282281281279276276275275274274274273272270267266265264264263264264264264264263263263263264264265266266266266267267268269269270270270270271272272273273273273274274274274275275275275275275275275274274274273272268266266266264265267269270271270269270269269268268268268267267267267267267267267267267267267267267267267267267268268267267267268268268268267267267266266266267267268268268268268269269270270270270270270270270271272271271272272272272273272272271271271271271270269268267266266265265265265265265265265264264263261262261261260261260260260260261261261261261261261261261261260260259257256256253251251250250249249249249249250251252253254254254254254254254254254253254254254254254254254254254254254255255256257258259260260260259259257256255255253252252251251250250250249249249250250250249249249249250251252252253253253253254254254254254254254254254254254254253253253253253252252252252252252252253252253254254253253252250250249249248248248248248249248248248248248247246245243242242241242243244244244244245246247247247247246246246246246245245245244244244244243244243243243243243242242 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999247249251252252253253252251999999999999999999999999999999999999999999999999999999999999999999999999999999999238238239239241242243243243244246247249249249249248249249248247243239237236236236235234232235237238238239240242245248250249253999999999999999999999999999999999999999999999999999999999999999999999999999242247250252254254255255257258258258258257256254253252251253252251249249249251252252253253254255255255256257258259259260259258259258258258259261261260260260263263265266267267267267266267267267267267267267267267267268269269268999999999999999272273274274274276276274273273272999999999999999999999999999999999999999999999999999999999999999999999999999999999259262263263263263263263265266266266267268269269271273275276277279281282282282283283282282282281279276276275275274275274272270268267266265264264265265265265265264264264265265265266266266266267268268269270271271271272272273273273274274274274275275275275276276276276276276276276276275275275274274272269267267266266267269270270270270270270269269269268268268268268268268268268268268268268268267267268268268268268268268268269269269269269269268268267266267267268268268268268268268269269270270270270271271271272272272272272272272273273273273273274273272270269268268267266265265264264263264264264264264263263262261261261261261261261261261261261261261261262262261261261260260259258257256254252251251250250249250250251252253253254254254254255255255256255255255254254254254254254254254254254255255255256257258260261261261260259259257256256255253253252252251250250250250250250250249249249249250251251252252253254255256256256256256257256256256256255255253253253253253253253253253253253253254254254255254254253253251250249249248248248248248248248248248248249247246245245243242241241242243244244244245246246247247247247246246246246245245245244244244243243243243243243243242242242242 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999248251251252253253253251250999999999999999999999999999999999999999999999999999999999999999999999999999999999239239239239241243244244245247248249249249249249249249249248246246242238235233231230231232233233234235236236237241245248247254999999999999999999999999999999999999999999999999999999999999999999999999999242247250253254255256257258258258258258256254251252252252250254251249248248249251252253255254255255255257257257259259260259259260260259258260262261262261263265265266267266267267267267268268268268268268267268268268269269270999999999999273274273274274273275275275275274277999999999999999999999999999999999999999999999999999999999999999999999999999999999256260262264265265265265265266267267268269270271272274275277278280280281282283283283283282282282281279277277276275275274274272269267266265265265266267266266266265265265265266266266267267267268269269270271271272272273273273274274274275275275275276276277276277277277277277277277276276276276276275275275273271268267267267269270270270270271271271271270269269269269269268268268269268268268268268268268268268268268268268269269269269270270269269269268267267267268268268268268268268269268269269269269269269270270270270271271271271272273274275275275274273271270269268267267266265264264263263263263263263263263262262262262261261261261261261261261261261262262262261261261261260260260259258257255253252251251251250251252252252252252253253254254255255256257257256255255254254254254254254254254255255255256256257258259261262261260260259258257256255254253252252251251251251250250250250249249249250250251252252253254256256256257257258258258258258257257257256256255254254254253253253254254254255255255255255254253252251250249248248248248247247248248248248249249249248246245244243242241241242243244244244245246247247246246246246245245245245245244244244243243243244243243243243243243242242 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999250249249249249249999999999999999999999999999999999999999999999999999999999999999999999999999999999243240239239240241243244245246248249249249249249249249249249249248247246240235234230229229229230231232231231233235240244246248999999999999999999999999999999999999999999999999999999999999999999999999999999999247251253255256256257258258258258257255254252251252252253253251250251252250251253252255255256256256256256258258259260259260260260261262262263261262264265265266266267267268267267268267268268269269269268268268269269270271999999274274274275275275275274274275275274999999999999999999999999999999999999999999999999999999999999999999999999999999999999999257262264265267267267266267268268269270271272274275276278280280281282283283283283283283282282281281279278277276275275275273272269268266266266266267268268267267266267267267267267267267268269270271271272272273273273274274275275275276276277277277277278278278278278278278279278279278277277277277277276276275274271268268267268270270271271271272272272271271271270270270269269269269269268269269269269269269270270270270270270270270271270270270269269268267267267268268268268269269269269268268269268269269269269270270271271271271272272274275276276276273273271270268267266265265264264264263263263263263263264263263263263262262262261261261261262262262262262262262262261261261261261260259259258257255252252252252251252252252252252252253253254254255255256257257256255254254254254254254254254254254255255255256256257259260261261261261260259258257256255254253253252251251251251250250250250250250250251252252252254255256256258258259259259259259258258257257256256255255255255254254255255256256256256255255254253252251250248248247247248247247247247248248249249248248247246245243242241241242242243244245245245246246246246246246246245245245245244243243243243243243243243243243243243243242242 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999243241240239240242243244246246247249250250250250250249249249249249249249246243238235231229228228229229228228231235239243247249252999999999999999999999999999999999999999999999999999999999999999999999999999999248251253256256256257257258256257256254253252251252251251252251249250251252253254255256256257257257257257258259259260260260261261262262263264263264264265266267266268268268268268268268267268269269269268268269270270270271274999999999273276276276277275275999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999259264265266267267268267268268270270272273275276277279280281282282283283283284284284284283283282281280278277277276276275274271269268267267267268268268269268268268268268268268269270270270271271272272273273274274275275276276277277277277277278278278278279279279279279279279279280279279279278278277277277277276274271268268268270271271271271272272273273272272273272272272271271272272272272272272272272272272272272272273272272273273272272271269269268267267267268268268268268269268269269269269269269269269269269270271271271272272273275276277277276274273271270269267266265264264264264264264264264264264263263263263262262263262263262262262262262262262262262262262261261261261261261260260259258257254253253252252253252252252252252252253254255256256256257258255254254254254254254254254254253254255255255256256257258259261261262261261261259258257256254254253253253252252251251251251251250251251251252252253254255256257258260260260259259259259258257257257256256256256256256256256256256256255254253254253252251249249248247247247247247247247247247248248248248247246245244243242241241242243243244245245245246246246246246246246245245245244244244243243243243243244243243243243243243242242 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999242241241240241243244245246246248250251251251250249249250249248248248248248246242237233230229228225224225226228231236999237999999255999999999999999999999999999999999999999999999999999999999999999999999999999249251254256257257258259258258256256255254253253253252252253252253255252253253256258259260260261260259259259259259260260259259260260261262262264265266266267267267268268269269269269268269268269269269268269270271271270270275999999999273273275276999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999260261265266267266267267268269270271272274275277278279281282282282283284284284284284285284283283283281279278278277277277276274271269268268268269269269269269269269269269269270270271271272272272272272273274274276276277277277278278278278278279279279279279280280279280280280280281280281280280280279279279278277277276275272268269270271271271271271272272272273273273273273273273273273274274274273273273273273273273272273273274273273273272272271270269268268268268268268269269269269269269269269269269269269269270270270271272272273273274275277277277277276274272270268266265265264264264264263264264264264264263262262262262262262262263262263263262262262262261261261261261261261261261261261261260259258256254253253253253253253253253252253253254255256257257258257255254254254254254254254254254254254254255255256256257257258260261262262262262261260258257257255254254254253253252252252252251251251252252252253254255256257259260261261261260260259259258257258258257257256256256256255255254254254254253253253252250249248247247247246247247247247246247247247248248247246246244243242241241241242243244244245245246247247246246246246246245244244244244243243243243243243243243243244243243243242242 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999249249249248246999999242242242241240241243245246247247250251251251250250249249249247247247248248248246244240236233232229226224223224226999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999248252254256257257259259259259258257257256254253254253253253253254256254254256260260261262263263263263262261261259260260259261260260262262263264265265267268267268268269270270269269269270269270270269269270270271271271271276999999999272272274999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999262262263265266267267268269269270271273274276277279280281282283283283284284284284284285285284284283283281280279278277278277276273271269269269269269269269269269270270270271272272272272272272273273273274274276277277279278278278279279279279279280280280280281281280280280280281281281281281281281281281280280279278278277277276273270269270271271271272272272273273274274274274274274274274274275275275274274274274274274274274273274274274274273273272270269269269269269269269269269269269269269270270270270270270270271271271271272273273274275276277277277277276274272270268266265264264264264264263264264263264263263262262263262262262262262262262262262262262261261261261261261261261261262262262261261260259258256255254254254254254254253253254254255257258258258258257255254254254254254254253254254254254255255255255256256257258259260262262263263262262261260259258257256255254253253253252252252252252252253253254255256258259260261261262261261260259259258257257258257257256255254253253253254253253253253252251250249248247247247246246246246247247246247247247247247247247245244243242241241242243243244244245245246247247246246246246245245244244244244244243243243244244244244244244244243243243242 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999252251250250249249248247245244243242242241241242244246247247250252252251251251250250249248247247247249249249246245243239235234231229226224217226999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999251254256257258259258259259259259258258257256255254254253253253256254256258260261262263264264264264264263262260260261261261262261262262264265266267268268268268268270270270270271271270270271270270270271271271271271272999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999264264265266267267268270270270271273275276277279282282283283284284284285285285285285285285285284284283282280280278278279278277274272271270270269270270270269270271272271271272272273273273273274274274275276277278278278279279280280280280281281281281281281281281281281281281282281283283282282282282282281281281280279279278278276273270271271271271272272272272273274274274273274274274274275275275274274274274274274274274274274273273274274274273271270269269269269269269269269269269270269270270270270270270270271271271272272273273274275276276277277278277276274272269267266265264264263264264263263264263264263263263263263263263264263264264264264263263262262262262261261261261261262262262262262262261260259258256256256255255255255255255256256258258259259260260258256255255255254254254253253254254254254255255255256256256257258259260261263263263263262262261260259258258257256255254254254253253253253253254255258259260261261262261261261261260259258257257257257256255254253253253253254254254253253252251249249249248248247247246246246246246246246246247247247247247246245243242241240240242243244244245245245246247247246246246245246245244244244243243243243243243243243243244244244243243243242 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999254254255253251251251251250248247246244243243242242241242245247249252253253253252252251251250249248248247247248249249248247244241237235234231230225220225236999243999999999999999999999999999999999999999999999999999999999999999999999999999999999999999247251253255256257258257258258259260259259259259257256256255255255255256258261263263264265265265265265265264264263261262262262262263264264265266267268269269268268269270270271271271271271271271271271271271271271272272275999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999264267267267268268268269269270271273274276278280282283284284284284285285285285285286286286285285284285284283281280280279279279277275272271271270270270271270271271272272272273273273274274273274275275276277278278279279280280281281281281281282282282282282282282282281282282282283283283283283284283283283282282282281281280279278278276274270270271272271271271271272273273273273273273274274274274274274273274274274274274274274274274273273272272271270270269269269269269269269268269270270270270270270270270270271271272272272273274275275276277277278278278277276274272268267266265265265264263263263263263262263263264265266268268269269269270269269268268268266264262262262262262262262262263263263263262262261260259257257257257257256256256256256258258260261261261261261257256255255254254254254253254253254254254255255255256256256257257259260261262263263263263263262261261260260258258258257257256256255255255257259261261262262262262262262261261260259258257257256256255254254254254254254254253253252252250249249249249248247247246246246246246246246246246247247247247247246245244242241240241242243244244245245245246247246246246245245244244243244243243243243243243243243243243244244244243243242243 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999255253253253253252252251250250249248246245244243243243243241244247248250253254254253253251251250250250249249248248249249249249248246243241239240234231229226230234242247999999999999999999999999999999999999999999999999999999999999999999999999999999999999999249251253253254254254256257258258259259259260259259259258257257256256258260262264264265266266266266265266266266265265264264264264265265264265267267268269269269269269270271271272272272271271271271272271271272272272272999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999267269269269268268268269270270272274276277280282284284285285285285285286286286286286286285285285284285285284282281280279280279278275273272271271271271271271272272272273273273274273274274274274275276276278279279279280280281281281282282283283283282282282281282282281281282282282282282282282283283283283283283283283281281280279278278276274271270270270271271271271271271271271272272272273273273273274273273273274274274274274274274274272272271271270270270270269269269269269269269270270270270270270271270271271272272273274274275275276277277278278278278277277275272268267266266266265264263263264265265267268270270270270270270271270271272272271271271270269269268265264264263263263263263264263263263263262261260260258257258258258258258258258259259260261261262262263260256256255254254253253253253253254254254254255255256256256256257257258259261261262262263263263263263263262262261261261260260259260260262262262263263263263263262261261261260260258257256256255254254254253254254255254254253252251251250250251250249248247247247247247247246246246246246247247247246246245244243242241241241242243244245245245245246247246246246245245244244244244243243243243243243243243244244244244244244243243243 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999254254254253252251250249248248248247246245244244244243243243245248249252253253254254253252251250250250250250250249249248249248247246244243242240236233233232233231236241999999999999999999999999999999999999999999999999999999999999999999999999999999999999999249251253253253254254256256257259259259259261261260259260260259259259259261261262265265266266266266266266265266266266265265265264265265266266267267268268269269269270270271271272272272271271271271271271271271271271999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999266269269269269269269269269270272274275277279281283284285285285285286286286286286286286286285285285285285285284282281280279280280279277273272271271271271271272272272272273273274274274274274275275276276277278279280280281282282282282282283282282282282282281281281281281280281281281281281282282283283282283283284283283283282281280279278277276274271270270271271271271270270270270271271272272272273273273273273273273273273274274274274275274272272271271270270270270270270270270270270270270270270271271271271271272273274274275276276277277277278278278278278277277276272269267267267266267266267267268270270271271271272271271272272272272272273272272272272272272271271271269267265264264264264264264264263263263262262261260259259259259259259259259259260261261261262262263262260257256255255254254254254254254254254254255255256256256256256256257258259260261261262262262263263263263263263263263263263264264264264264264264264264264264263262262261261260258257256256254254254254254254254255255255253252252252252252251250248247247247247247246246245245245246246246247247246246245245244243241241242243244245245245245246246247246246246245245245244244244243243243243243243243243244244244244244244243243242 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999252253254253253252250249249248247248248247247245244244243244244244247249250252253252253254254252251249250249250251250250248248248247247246244245245238239235233232234234235239999999999999999999999999999999999999999999999999999999999999999999999999999999999999999250252252252252253253255256257260261260260260261261262262262261261261262262263263265266266266266266266266266266266266265265266266265266266266268267268268269269269270271270271271271271271270270270271270270270999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999268270270269269268268269270271273275277278280282283284285285286286286286286286286286286286285285286285285285284283281281280280280279277274272271271272272272272272272273273274274274274274275275276277277278279280280281282282282282282283283282282282282281281281281280280281281281281281281281282283282283283284283283284283282282281280279278278276275272271271271271271270270270270270270272272272272272272272272272272273273273273274274274274274273273271270270270270270270271271271271271271271271271271271272273274275275275276276277278278279279279279278278277277276272269269269269270270271271272272272272272272273273273274274274274274273273273273273272273272273272272271271269268266266265265265265264264263263263263263263262261261260260260260260260260261261262262262263262260257256255255255254254254255254254255255255256256256256256256257257257258259260261262262262263263263263263263264264264265265264265265265265265265265265265263262262262261259258256255254254254254253254254255254254254253253253253252252250249248247247246246246245245245245246246246246246246246245245244243242242243243244245245245245246247247246246246245245244244244244244243243243243243243243243244244244244244243243243 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999252254253251250250249247247247247247247246246245244243244245246247248250251252252253253253253252251250250250251251250250249248247246244243244245242240238235231229233235235239238999999999999999999999999999999999999999999999999999999999999999999999999999999999999251252251251252251252254255256259261261261261261261263262263263262262263264265265267267267267266266266266266267266999999265266266268267267268268267269269269269269269270270270270271271270270270271271270270999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999269269270269268268269269270272274276278279281283283284285285286286286286286286286286286286286286285285284285284283281280280280281280278276273272272272272272272273273273274274274275275275275276276277278279280281281282282282282282283283282282282282281280280280280280281280280281281282282282282283283283283284283283284283283283282281281280279278277275274272271270270270271270271271271271271271271271271271272272273273273273273274274274275275275275274272271271271271271271271271271271271271271272272272273275276276277277277278279279278279279278278278278277276275273270271271271272272271273273273273273274274274275275275275275275274274274274274273273273273273273272272271271270269268266266266265265265264264264264264264264264264263262262262261261261261261261261262263263262260257256255255255255255255255255255255256256256256256256256256257257257257258258259260261261262263262263263264264264264264264264264264265265266266265265263262261260260258257255254254254254254254254254254254254254254254254253253252251250249248247246246246246246246246246246246246246246246245245244243243243243244245245246246245247247246246246246245245245244244244244243243243243243243243243244244244244244244244243 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999252999999999999253254252250249248247246246246246246245245244244244244245246247248248250250250251252252252252252251250249250251252254253251248248246246244243243240243240234232230235237237239240999999999999999999999999999999999999999999999999999999999999999999999999999999999999251252251251252252253254255255258262262262262263263263263265265264263263265266266268267267267267267268268267267266265266267268268268268268269269269269269268269269270270269271270271271271270271271270270999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999269270270269268268269270271273275277279280282283284284285286285286286286286286286287286285285285285285285285284283281280280280280280279277274272272272272272272272273273273274274275275275276276277278279280281281282282282282282283283282283282281281280280280281280280280281280281281282282282282282283283283283284284284284284284284283282281281280278277276275272271270271271270271271271271271271271271272272272273273273273273274274274275275275276276276275273272271271271271270271271271271271272272273273274276277278277278278279279279279279279278278278278277276275274273272273273273273273274274274274275275276276276276276276275275275275275275274274274273273273273273272272272271271270269269268268267266266265265265265266266265266265264264264265264263263262262261262262262262262260257256256256256256256256256256256256257257257257256256256256256257257257257257257257258259260260261261262262263263264264264264264265266266266266265264262260259259258256255254254254254254254254254255254255255255255254254253253252251250249248247247246246246246246246246246246246246246246245244244243244244244245246246246246247247246246246246245245245245245245244244244244244244244244244245245245245245245244244 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999252252253253254253253251249248247246247246246245244245245244245246246246248247248248248249249250251251251251251250250249250250249252253251252251251250245244242246240238234232231232237239241241246999999999999999999999999999999999999999999999999999999999999999999999999999999999249252251252254253254255255257260262263263263264265264265266266266266266267267267268268267268268269269268268266266266266267270269268269268268269269269269268268269269270270270271271271271271271272270999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999269270269269268269270272275276277279281283284284285286286286286286286286287287287286285285285285285285285284283282281280280281281279278275273273272273273272272273273274274275275275276276277278279280281281282282282283283283283283283282281281280280280280280280280280280281281281281281282282283283283283283283284284284284284285284283282282281280279278276276274272271271271271271271271271271272272272273273273273273273274274274275275276276276276276276275275274272271271271271271272273272273273274274276277278278279279279279279279279278278278278277277277277275275274275274275275274275275275275275275276276276276276276276276276276276276275275274274273273272272272271271271271271270270270269269269268268268268267267267268268267267267267266266266265265265264263263262261262261261260258256256256256256256256256256256257256256256256256256256256256256257257257257257256256257258258259260260260260261262262263264265266266266266266265264261259258258257255254254254254254254254255254255255255255255254254253253253251251250249248248247246246247246246246246246246246246246245245245244245245245246246246246247248248247247246246246245245245245245244244244244244244244244244245245245245245245245245 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999253253254254254253251249249248247247247246246245245245245245247247247247247247248248248248249250250251251250250250249249249249251252252251250245245247246247247246240238235233231232236239240245999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999255256256256256256258260261263264264264264266265266266266266266268269268267267269269269269270269269268268267268267269269270270270268269268270269269268268269269270270271273272271271272272272271999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999266268269269269270271274276277278280283283284284285285286286286286287286286287286285285286286286285285284284283282281280280280280280279276274273273273273273273273274274274275275276276277278279280281282282282283283283283283283283283282281280280281280280280280280280280280281281282282282282282282283283283283283284284284284285285284284283282282280279278277276275274273272272272271272272272272273273274274274274275275275275276276276277277277277276276277276276275274272272272272273273273273273274276277278278279279279279279279279278278278278278278278277277276276275275275275276275276276275275275276276276277276277276277277276276276276276275275275274273273273272272271270270270269269269269269268268269268268269268268268268268268268268268268268268267266266265264263262261261261261259258257256256256256256256256256256256256256257256256256256256256256257257257257257257257257257257257258259259260260262262263265266266267267267266265262260259258257255254254254254254254254254254255254254255254254254254253253252251250250249248248248248247247247246246247246246246246246246245245245245246246246246246247248248247247247246246246246245245245245245245245245245245245245245245246245246245246246 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999253253255254254255254250248248247247247246246246245246246246246247247246246247248248248248248249249250250250250250251251252252251251251251249247246245245243242241240239237236233234234235237242249255243999999999999999999999999999999999999999999999999999999999999999999999999999999999254258257256257257259261262263264264264265265266266266266266266268267269269269269270270269269270270270270270269269269269269269270269269269269270269268268269269269270270272273272271272274273273272999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999266268269270270273276277278279281283284285284285285286286286287287286286286286286286286286286285285285284284283282280280280281280279278276274274273274274274274275275275275275276276278279280281282282283283283283283283284283283283281281281281281281281281280281280280280281281281282282282282282282283282283283284284284285285285285284283284282282281280279278277276275275274274273273273273273274274275275275275276276276276277277277277278278278277277277277277276275274273273273273273273274275276277279279279280279279279279279279279279279279279278278278277277276276276276276276276276276275275275276275276276276276277277277277276276275276275275275274274273273272271271270270270269269269269268268268268268268268268268268268269268268268268269269269269268268267266266265263263261261261260259258257257257257257257257257257257257257257257257257257257257257257257257257257258258258258257257257258259260260261262264266267267267267266265263260259258257256255254254254254254254254254254254254254254254254254254254254253252251250249249249249249248247247247247247246246246246246246246246246246246246247247248248249248248248247247247246246246246245245245245245245245245245245245245246245246246246 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999252252253253253253254254250248247247247247247246246246246246246247247246245246247247247248248249250251250250250251254254254254252251250250250248246243242242241240240240239237237234234235237238240249249999999999999999999999999999999999999999999999999999999999999999999999999999999999999257258258258259260262264264264265265265266267268268267268269269269270270270270271270270270270270271270270270270270270270269268269269269270269268269268268267271267267268999999271272274274275274274272999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999266266268270271275276278279281282283284285285285285286287287287287287286286286286286286286286285285285285285284282281280281281281280279278276275274274274274275275275275275276277278279280281282282283283283283283284284284284283283282282282282281281281281280280280280280280280281282283282282282283282283283283283284284284285285285285284284283282282281281280279278278277277276276276275275275276276277277277277277277278278278278278278279279279278278278278277277276276275274274274274274275276278279279279280280280280279279279279279279279279279278278278278277276276276276276276276275275274274274274274275275275275275275276276276275275275275275275274274274273273272271270270270269269269269269268268268268267268268267267268268268268268268268269269269269269269268267267266264263262262261260259259258258258258258258258258258258258258258258258259259259259259259259259259259259259259259258258259259260260261262264265266267267267266265264262260259257256255254255254254254254254254254254254254254254254254254254254254254253252251250250250250250249249249249248248247247247247246247247247247247247247247248249248248248247247247246246246246246246245245245245245246245245245245245245246246246246 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999252252252252252252251251251250247247247248249248246245246245244245247247246245246246247247248248250250251251253253254254252251252251249247247247246243243242240240239238237237238238232233235237240241999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999259257259261262263264265265266266266266267267269269269269270270270271271270271271270270270271270270269269269269270270271269269270271271271270268268268999999999999999999999999272273274275275275275999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999282283999999999999999266268267266269270272276278280281281283284285285286286286287287287287287286286286286286286286286286286286286285285284283282281281281281281280279278277276275275275275275275275276277278279280281282283283283283283283283284284284284284283283283282282282282281281280280280280280280280280281282282282282282282282283283283283283284285285285285285285284284284283282282281281280280279279279279278278278278279279278278278279279279279279280280280280280280280280279279277277276276276275274274274275276277278280280279280280279280280279279279279279279279279278278278278277276276276276276276275274274274274274274274274274274274274274275275275275275275275275275275274274273273272271271270270269269269269269269269268268268268268267267267267267268268268268269269269269270270269269269268268266265263263262261261260259259259258258258258259259259259260260261261261261261261260260260259260260260260261261261261261261261262263265266267267267267267265265263261259258256255255255255255255254254254254254254254254254254254254254254255254254254254253252251250250251251251250250249248247247247247246246246246246246246247248249248248248248247247247246246246246246246246246246246246246246246246246246246246246247 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999251252253253252252251251250250248248248247247246247248248246245245245245246247247246245245245247248249250250250251251252251252252254253254253246245246247243242243244242240240238237236237238234234237238243243246999999999999999999999999999999999999999999999999999999999999999999999999999999999999999258260261263264266267268267268268267268269269270271271270270271270270270270272272271271271271270269269269999999999270270270269270269270999999999999999999999999999999999999999272999276278278999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999278280282999999999999265266267267269270271275278280281281282284284285285286286287287287287287286287287287287287287286286287286286286286285285284283282282282282281281280279279278277276276276276276277278278279281282283283284284284284284284284285285284285284284283283283283282282282281280280280280280280280280281281281281282282282282282283283283283283284284284285285285285284284283283283282282281281281280280281281280280280280280280280280280280280280280280281281281281281281280280279278277276276276275275275276277277279280280280280280280280280280279279279278278279279279278278278278277276276276276276276275274274274274274273273273273273273273274274275275275275276276275275275275275274273272272271271271270270270270270269268268268268268268267267267267267267267267268268268268269269269269270270270269268268267266265264264263263262261261261261261261262263263264264264263263263263263263263263262262263263263263263264264264264264264265265266267267268267267267266264262260258257256256256255255255255254254254254254253254254254254254254254254254254254254254253253252252252252252251250250249249248248247247247246246246246246248249249249249249248248248248247247247247247247247247247246247246246246246246246246246246246 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999253253253253252251251250249249248248247247247246247248247245244244244244245246245245246246246247248249250250251251250250250249250249249248249247247249248245245244244241238235235238234234234236237240244250250999999999999999999999999999999999999999999999999999999999999999999999999999999999999999257260263265266267268269269268269268270269269269271271271271270271271271270270271272271271271270269999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999276276280999999999999264266266268269270272273277279281282282283284285285286286287287287288287287287287287287287287287287287287286286286286286286285283283282282282282281281280280280279278278278278278279279280281281282283283284283283283284284284285284284284284284284283283283282282281280280280281281280280280280280280280281281281281281281282282282282282283283283283284284284284284284283283283283282282282282282282282282281281281281281281281281281281281281282282283282282282282281281280279278277276276276275276277278279280280280280280280280280280279279278278278278278278278278278278277278277276276277276276275275275274274274273273273273273273273273273274274274275275275275276275275275274273273272271271271271270270270270269269268268267267266267267266266266266267267267267267268268269269269269270270270270269269268267266266266265266266266265265265265265266266265265266266265265266266266266266266266266266266266266266266266266266266267266267267268268268267267266264263262260257256256256256255255254254254254254253253253253254254254254254254253254254254254254254254253253253252252252251251250249249248247247246246246246247248250250250250249249249249249248248248247248247247247247247247247246247246246246246247247247 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999256255254253253252251251250249248247247247248247248248247246244244244244244244244244244245245245246247249250250250251250249249250249249249247247247247247248246244244242240239236238237234234234237239244248251999999999999999999999999999999999999999999999999999999999999999999999999999999999999999258261264266268269269269269269269269270270270270270270271271271271271271271271271271272272271270269267999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999271274999999999999999264266266268270271274277279280281282283284285285285286287287287287287287286286286286286287287286286287287286286286286286286285284283282282281281281282281280280279279279279280280280281281282282283284283284284283283284284284285285285284284284284284283283282281281281281281281281281280280280280280280280280280281281281281282282282282282283283283283283284284284284284283283283283283283283283283283283283283282282282282282282282282282283283283283283283283282282281281280279278278277277277277278279280281280280280280280280280279279278278278278278278278278278278277277278277277277277276276275275275274274273273273273273273272273273273273273273274275275275275275275275275274273272272272271271271271270270270270268268267267267266267267266267267266267267267267267268268268269269269270270270270270270269268268268267267267267267267267266267267267267267267267267267267267267267267267267267267267267267267267267267267267267267267267267268267267267266264263262261258255255256255255255255254254254253253253253253254254254254254254254254254255255255255255255254254254253253253252252251250249248248247247247247248249250250251250251251250250250249249249249248248248247247247247247247247247247247247247247247 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999256257256255254253252252251250249248247247247248248248246246244243244244244243243242241242245244245246247248249250250250250250249248248249248246246247248246245246244243241242242239238238233233236238241245248250999999999999999999999999999999999999999999999999999999999999999999999999999999999999257260265268269270269270270270269269270270269269270270270270271271270271271272271271271272272271270999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999278276275275999999271999999999999999264266267270272273277279280282282283284284285285286286287287287287287287286287286286286286286286286286286286286286286286286286285284283283282282282282282282281281280280280281281281282282283283284284284284284284284284285285285285285285284284284284284283283282281281281281281281281281281280280280280280280280280281281281281281281282282282283283283283283283284284284284284283283284284284283284284283283283283283283283282282282283283283283283284284283283283282282281280279279278278278278279279280281281280280280280280280279279278278278278278278278278277277277277277277277277277277276276275275275275274274273274274273273272272272272272272272273274275275275275275275275274274272272272271271271271271270270269269268268268267267267267266267267266267266267267267268268268268269269269270270270270270270270269269269268268268268268268268268268268268268267267267267267267267267267267267267267267267267267267267267267267266267267267267267268268267267265263262261259256256255255255255254254253253254253254254254254254254254254254254254254254255255255255255255254254254254254254253253253252250248247247247247248250251251251251251251251252251251251250250249249249249249248248248248248248248248248248248248 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999259257256255254253252251251250249249248248248248248247245244243242243242243242241240240242243244245246247248249250250250250250249249248249247246247247248248247246244244243244243241240239232233236238241244247250999999999999999999999999999999999999999999999999999999999999999999999999999999999999262267270270271270270270270270270270270270270271271272272272271271270271271271271271271272272270999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999277275275273999270999999999999999262265267270272274275278280281282283284284285285286286286287287287287287287287286286286286285286286286286286286286286286286286286286285284283283283283282282282282282282282282282282283283284284284284284284284284284285285285286285285285285285285285284284284283282282281281281281281281281281281281281280281281280280280280280280280281281281281282282282282283283283283283284284284284284283284284284284284284284284284283283283282282282283283283283283283283283283282282281280280279279279279279280280281281281280280280280280280279278278278278278278278278277277277277278277277277277277277276277276276275275275274274273273273272272272272272272272272273274275275275276276275275275274274273272272272271272271271271270269269268269268267267267267266266266266267267267267267267268268268268269269270270270269270270269269269269269269269268268269269268268268267267267267267267267267267267267267267267267267267267267267267266267267267267268268268267267266266266264263262260257255255255256255254254253254254253254254254254254254254254254254254254254254254255255255255255255255255255255254254254252251248248247247248249250251251252252252252252253253252252252252251251251250250250250250250250250249249249249249250 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999260259259257256255255254253252252250250249249249248248247246245243242243243242241240239239240241242243243245247249249249250251251250249251249249248247247247248249248247246246246245247244241237231232233237240244248252999999999999999999999999999999999999999999999999999999999999999264260258261261260263268270271271270269270270270271271270271271271272272273271271272271270271271271271270271271270999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298999999999999999999999999999999999999999999999999999283283283999999277277276275274274272272999999262264265266270273274275278280282282284284284285286286286286286287287287287287287287286286286286286286286286286286286286286286286286286286285284284283284283283283283283282283283282283283283284284284284284285285284285285285285285285286285285285285284284284284284282282282281281282281281281281281281281281281281281280280280280280280280281280280280281282282282283283283283283283284284284284284284284284284284284284284284284283283283283283283283283283283284284283283283282282281280280280280280280281281281281281281281280280280279279278278278278278278278278278277277277278278277277278277277277277277276276276275275275275273273272272272272272272272273273273274275275276276276275275274274274273272272272272271271270270270269269268268267267266266266266266266266266266267267267267267267268268268269269270269269269269269269269268268269269268269268268267267266266266265266266266266266266267266266266267267267267267267267268267268268268268268268268267267266265265263262261257256255255255255255254253253253253254254254253254254254254254254254254253253253254255255255255255255255255254254254254253251249248248248248249251251252252253253253253253253253253253253253253253253253253252253253253253253252252252252253 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999259259258257256256255254253252253252250249249250248248246245243243243243242241241239238238238240241240242245247248249249249250250251250250249248248248248248249249250249248248247246243241236229229230231236240247250253999999999999999999999999999999999999999999999267266999999999268266269263264264266269271272272272271271271271271271271271272272272273272272271272272271271272270270271270269999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291999999999999999999999999999999999999999999999999999283284283999999999999278280280279277274999999264266267269271272274277278281282284284285285285286286286285286286287287287287287287287286286286286285286286286286286286286285285286286286286286285284284284284284284284283283283283283283283284284284285284284285285285285285285285285285285285285285284285285285284283283282282282282282282281282282281281281281281281281280281280280281281281281281281280281282282283284284284283283283283284284284284284284284284284284284284284284284283283282282283283283283283284284284283283283282282281281281281281282282282282281281281281280280280279278278278278278278278278278278278277277278278278277277277277277277277277276276276275275275274273272272272272271271272272272273273274275275275275275275274274273273272272272271271271271270270269269268268267267266266266266266266266266266267267267267267267267268268268268268268268268268268268268268268267268267267267266266266265265265265264264265264264264264264265265266266267267267266266267267267267268267267268268267267266265265264263261259257255254255255255254254254254254254254254254254254254254254254254254254254253253253254254254254254254254254254254254253251250248248248249250251251252252252253253253254254254254254254254253254253254254254254254254254254255255254255255 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999256257257257256256255255254253254254252251250248247246245243242242242241241241241239239238237238241238242245246247249249249250250250250250249249249249249250250251251250250249248245242237230228230229228232235247250251246235999999999999999999999999999271999266999274267266267265266999999267266269270272273274274272272271271271271273274273273273273274273273273272272272271270269270269269999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289289292294999999999999999999999999999999999999999282284285284283999999999277281283281280279277273270269268270272273276278280282283284285285286286286286286286286286286287287288287287287287287287286286286286286286286286286286286286286287287287287286286285285285284285284284284284284284284284284285285285285285285285285285285286286286285285285285285285285285284284283283282282282282282282282282282282282281281281281281281281280281281281281281281281281281282282283284284284284284284284284284284284285285285285285285285285285285284283283283283283283283283284284285284284284284283283282282282282283283283282282282281281281281280279278278278278278278278278278278278278277277277278278277277277277277277277277276276276275275274274273273272272271271271271271272273273274275275275275275275275274274273273273272272272271272271271270269269268268268267267267267267266267266266266267267267267267268268268268268268268268267267267267266266266266266266265265265265265265264264264264263264264264264264264264264265265265266265265265265266266266266266266267267267266266265265263263262259257255254255255254254254254254254254254254254254254254254254254254254254254254254254253253253254253253253253253254254252251250249248248249250251251252252253253253254254254253254254254254254254254254255254254255255255255255255255256256 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999253253256257256256254254253253254253253252249248246244243243242241241240239239239238237237237237240241241242244246247248249249250250249249250250249249250251251251250250250249248247242230222230230231228230235243251257263999999999999999999999275274269271999264267268999269268266264261261265268270273274274275273272272272273273272275276274273274274275275274272272273272271270270271269999999999999999999999999999999999999999999999999999999999999999999999999999287286285285999999999999999999999999999999999999999999999999999999289288999292290290293293999999289999999999999999999284285285284283999999277280283283999278279279278278276276275277278280282283284285285285286286287287287287286286286287287288288288288288288287287286286286286287286287286287287287287287287287287287287287287286286285286285285285284285285285285285285285285285285286286286285286286286285285285285285285285285285284284283283283283283283283283283283283283283282282282281281281281281281281282282281281281281281282282283284284284284285285285284284284285285285285285285285285285285285285284284283283282283282283283284284284284284284283283283283283283282282283282282282281280281280279278278278278278278278278278278278278278277277277277278278277277277277277277277277276275275275274274273273272272272272272271271272272273274275275275275275275275275274274273273272272272272272271271271270270269269269268267266267267267267267267267267267267267267267267267267267267267267267266266266266265265265265265264264264264264263263263263263263263263263263262263263263264264264264264264264264264264264263263265265265266266265265264264263262260258256254255255255255255254254254254254254254254254254254254254254254254254254254254254253253253253253253253253253253252251250249248248249250251251252252253253254254254254254254255254254254254255255255255255255255256255256256256256256 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999260255254253253254254254253252251249248246244243243242241241240240239239237237237239239239243240242243245246248249250250250250250250251251250250252252252252251250249249246240232226230230228226229235241243249253253999999999999999268273999999267266999267269269269268267266261265268270272274275275275999271272274274274275275274274274274274275275274273272272271271269999999999999999999999999999999999999999999999999999999999999999999999999999999287286284282283282280999999999285288291999999999999999999999999999999999290290290288288999999999999999283999999999999999283284285285284283999281281284285284284284283282282281281281281282283284284285286286286287287287287287287287287287287287287287288288288287287287287287286286286286286286286287287287287287288288288288288288288288288287288287287287286286287287286287287286287286286286286286286286286286285285285285285284284285285285284283283283283283283283284284284284283283282282282281281281281281281281281281281281281281282282282282283283283284284284284284285285285285285285285285285285285285285284284284283283282282282282283283284285285284284284283283283283283283283283282282281281281280279278278278278278278278278278278278278278278277278277278278278277278278278278277277277276276276276275274273273272272272272272272272272273273274275275275275275275275274275274274273273272272272272272271272271271270269269268267267267267267267267267267266267267267267267267267267267267267266266266265265265265265264264264264263263263263263262262262262262262262262261261262262261262262263263263263263263263263262262262262263263264264264264264263263262260258256254254255255255255254254254254254254254254254254254254254254254254254254254254254254254254253253252252252252252251251250249249249249251251252252252253253254254254254255255255254254254255255255255255256256256256256256256256256256 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999254254254255254254254253252251249249247245244242241240240239239240238237237238240241239243240242244245245247249250250251252252252252252251251252252253253254253252250247241234232232230231230232234241243251999232999999999999268271999999269270268265267269270270269268268268269270272274275275275999999272273274275276275275275274275275274274274274272273270270269999999999999999999999999999999999999999999999999999999999999999999999999999288287288285283282282279278999274277281287290999999999999999999999999999999999999289289286283284284284283284284283283284283284283283284284283283283284285285285283284284283283283283283283283284285285286286286287287287287287287287287287287286287287287287287287287287287287287287286286286286286286287287287288288288288289289289289289289289289289289289288288288288288287287287287287287286286286286286286285285285285285285285284284284285284284283284283283283283284284284284284284284283283282282282281281281281281281281282282281282282282282282282283283284284284284284284285284285284285285285285284284284284284284284284283283283283282282283283284284285285284284284284283283283283283283282282281281281279279278278278278279278278278278278278278278278278278278278278278278278278278278277277277277276276276276275274273273272272272272272272272273273274275275275275275275275275275274274273273273273273272272272272272271271269269268268268267267267267267267267267267267267267267266267267267267267267266265265265265264264264264263263263263263263263262262262262262261261261261261261261261261261262262262262262262262262262261262262262262262263263263264263262262260257256254254255255255255255254255255254254254254254254254254254254254254254254254254254254254254254254253252251252251251251251250250250250251251252253253253254254254255255255255255255254255255255255255256256256256257257257257257257257 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999255254253254254254254253251250249247246244243241241240239239238238237238238242245246244244245246247248249249251252252253253254252252252252252253254253255252250247239236237240235235234232236999999999253999999267268265266268270271999270271270270271271271270269269270270272274275275276275999271273275275275277277275275275276275275274272271270270267267999999999999999999999999999999999999999999999999999999999999290289290290999289286285285285284281282282999274275277281285999999999999999999999999999999999999999999999282282284286286285285284284284284284284285284284284284284285285285286285282283283284284284284285285286286286287287287286287287287287287288287287287287286286286287287287287287287287286286286286286286286287287287287288288288288289289290289289289289290290290290290289289289288288288288288287287287287286286286285285285285285285285284284284284284285284284284284283283283284284284284284284284284284283283282282282282282282282282282282282282282282283283283283283283284284284284284285285285285285285285285284284284285284284284284284283283283282282282282283284285285285285284284284284284283283283282282282281281280279278278278278278278278278278278278278278278278278278278278278278278278278278277277277277277277276276276276275274274273273273273273273273274274275275275275275275275275275275275274274274273273273273273272273273272271269269269268268268267267267267267267267267267267267267267267267267266266266266265265265264264264264263263263263263263262262262262262262262261261261261261261261261261261261261262262261261261261261261261262262262262262262262262262261261259257256254255255255255255255255255255254254254254254254254254254254254254254254254254254254254254254254254253253252252251251251251250250251251252252253253253254254255255255255255255255255255255255256255256256256257257257257258258258258 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999255254253253252251250249248245243242241240239239238238239237240244246245245245247247247249250250251252252253253255253253252252254254254254252251249243244245249246243237233239243248252254256259263262263262266269269269269270270270272272272272272273272273274275275276276274271272274275275275277277277276277276276276276272999999999999999999999999999999999999999999999999999999999999999999999283289290287287286999999999999999285283282281999999274274999999999999999999999999999999999999999999999999999285283284286286286285285284284284284285284284285285284285285285285286286284282284284285286286286286286287287287287287287287288288288288288287288287287287287286286286287287287287286286286286286286286287287287287288288288289289289289290290290289290289290289290290290290289289289288288288288287287287287286286285285285285285285285285285284285284285285284284284284283283284284285285285285285285285285284284283283283283282282282282282282283283282283283283283283283283283284284284284285285285285285285285285285284284285284284284284283283283283283282282283283284285285285284284284284284283283283282282282282281280279279278278278278278278278278278278278278278278278279278278278278278278278278278277277277277277277277276276276276275275274274274274274274274275275275275275275276276275275275275275275274274273273273273274273273273273271270269268268268268268268267267267267267267267267267267266267267266266266266265265265264264264263263263263263263263263263262262262262262262262261261261261261261261261261261261261261261261261261261261261261261261261261261261261262260260259257256254255255256255255255255255255254254254254254254254254254254254254254254254254254254254254254254254254253253252252252252251251251251252252253253253253254254255255256256256256256255255256255256256256256256257257257257258258258258 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999255256255254254253252252250248247246245243240239239238238240241244247247244245244245246248250252251252253252253253253253254253254254253254253251251248248249253256250241241246244249249253254257259260262262265267268268267270272273273274274273274274274276275276276276276999274273275276276277277276277277277276276275275272999999999999999999999999999999999999999999270271272999999268268999275283289291289287999999999999999999999287284280999999274276280999999999999999999999999999999999999999285286287285285286286285285285285285286285285286285285285285285285286286286286285285285285286287287287287287288288288288288288288288288288288288288287287287287287287286286286286287287287287286286286287287287287287288288288288289289289289289290290290290290290290290290290290290289289289288288288288287287286286286286285285285285285285285285285285285285285285284284284284284284284285285285285285285285285285285285284283283283283283282282282283283283283283283283283283283284284283283284284284285285285286285285285284284284284284284284283283283282283282282282283284284285285285284284284284283283282282282283282282281280279279278278278278278278278278278278279279279279279279279278278278278278278278278278278278278277277277277277276276276275275275275275275275275275275275275275276276276275275275275275275275274274274274274274273274274273272270270270269268268268268268268267267267267267267267267267267266266266266266265265265264264264264264264264263263263263263262263262262262262262262262261261262261261261261261261261261261261261261261261261261261261261261261261261261259259258257255254254256255256255255255255255254254254254254254254254254254254254254254254254254254254254254254254255255254253253252252252251252252252253253253253253254254255255255256256256256256256256256256256256256257257257257257258258258258 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999255256256256255255255254253251250249248247244241240238238239242244247246247244245248249251250250252253254255255255254254254254255255255256254252254253253255257256257254256259259257253251250260261262265266266268267268270271272273273276276276277277276277277277278277277999275277277277277277276277276276276275274273273271999999999999999999999999999999999999999273272999270999268266268274280284289291291291999999999999999999999999999278278277276277280999999999999999999999999999999999283285286287287287287286287286286285285286286286286286286286286286286286286286286286285286286286285286287287287287288288288288288288288288288288288288288287287288288287287287287287287286287287287286286286287287287287287288288288289289289289289289289290290290290290290290290290290289289289288288287287286286286286285285285284284284285285284284285284284284285285284285284284284284284285285285286285286286286286286286285285284284283283283283283283283283283283283283283283283284284284284284284284285285285286286286285285284284284284284284283283283283283283282283283283284285285285285285284284283283283283283283283282281281280279279279279278278279278278279279279279279279279279279279279278278278278278278278278278278278277277278277277277276276276276275275275276276276276276276276276276276276275276276275276275275275274274274274274274274274274272271270270269269269268268268267267267267267267267267267267267267267266266266265265265265265264264264264264264264264263263263263263263263262262262262262262262262261261261261261261261261261261261261261261261261261261262262260260260259258257256255254255256255256256255255255254254254254254254254254254254254254254255254254254254254254254254254255255255255254254253253252252252252253252253253253254254254254255255256257256256256256256256256256257257257257257258258258259259258 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999255256257256256256255254253252251251250249245242240239239242242244245244246248250253253253254254254254255255256256255256256257257257257255254256256257258258260259258260263264260256255259265268269270269269269268268269272272274277277279279280279278278279278278278278277277278278277276276276276276277276274272272271268999999999999999999999999999999999999999273271267266266265266999999283287290291291999999999999999999999999999999281280279278279281999999999999999999999999999999999284287286287287287287287286286286286286286286286286286286286286287287286286286286286286287287286286287288288288288288288289288289289288288288288288288288288288288288287287287287287287287287287287287287287287287287288288288288289289289289289290290290290290290290290290290290290289289289288287287286286286286285285285285285284284284284284284285285284285285285285285285285285284284285285285286286286286286287287286286286286286285284284284284284284284283283283283284284284284284284284284285285285285285286286286286286285285285284284284284283283283283283283282283283284284285285285285285284284283283283283283283282282281280280279279279279279279279279278279279279279279279279279279279279279278278278278278278278278278278278277278278277277276276276276276276276276276276276276276277276276276276276276276276275275275275275274274274274274274274274272271271270270269269269268268268268268268268268268268268267267267267266266266265265266266265265264264264264264264264264263263263263263263262262262262262262262262261261261261261260261261261261261260261261260260261261261261260260260258257256256254254256256256256256255255255254254254254254254254254254254254254254255255255255255255255255254255255255255256256255254254253253253253253253253253253254254254254255255256256257257257256256256257257257257257258258258258259259259259 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999252257257257257257257257256255254254253252248245241241241242245243244242244246250254253253254254255256256256256257256257257257258259258258259260260261261263263262263265266267265257261262266269269269269270270270272273276277275277278281282280279279279279279279278278278278278278277275275276275274276272270269270999272271274276999273273273274275275999999999269269264260258260999999999284999999999999999999999999999999999999999999999280280281279999999999999999999999999999999999286286286287288288287287287287287287287287287287287287287287287287287287287287287286287287287287288288288288288289289289289289289289289288288288287288288289288288288288288288288288287287287287287287287287287287287287288288288289289289290290290290290290290290290290290290290290289289289287287286286286286286286285285285285285285285285285285285285285285285285285285285285285285285285285285286286286286287287287287287287286286286286285285284284284284284284284284284284284284284284285285285285286286286286286286286286286285285285285285284284283283282282282282282283284284284285285285285285284284283283283283283283282281280280280280279279279279279280279279279279279279279278279279279279279279279278278278278278278278278278278277277277277277277277277276276276276276276276276277277276276276276276276276276276276275275275275275275275275274275274274273271271270270270270269269269269269269269269269269269269268268268267267267266266266266266266265265265264264264264264264263264263263262262262262262262262262262262262261261260260260261261261261261260260260261261261261261261260259259258256255255254255256256256256256255255255254254254254254254254254254254255255255255255255255255255255255255255255255256256257256255254254253253253253253253253253253254255255255255256256257258257257257257257257258258258258259259259259259260260 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999254258259259258258258257256256255255256254248245244242245241241241241246247248249250253254255256255257257258257257257258258259260259260259259260262264264265265265266268269268268269270270271272272272273273273275276278278279279278281281280279279279280279279279279279278277277275999272274271272270269267999999999999999275274273274274275274275274271271263261259261262261999999999999999999999999999999999999999999999999999999999999282282282282283999999999999999999999999999286287286287287287287287287287287287287287287287287287287287288288287287287288287287288287287288288288288288288289289289289289289289288288288288288288288289289288288288288288288288288287287287287287287287288287288288288288288288289289289290290290291291290290290290291290290289289289289287287286286286285286286285285285285285285285285285285285285285285285285285285286285285285285285286286286286286286287287287287287287287287286286286286285285285285285284284284284284284285284285285285286286286286286286286287286286286286285285285285284284284283283283282282282282283284284284285285285285285284284284283283283283282281281280280280280279279280280280279279279279279279279279279279279279279279279279279279279278278278278278277277277277277277277277277277277277277277277277277277277277277276276276276276276276276276275276275275275275276275275275274274272272271270270270270270270270269270270270270270270269269268268268268268267267266266266266266265265265265265264264264264264264263263262262262261262262262262262262262261261260260260260260261260260260261261261261261261261260260259259257256254255255256256256256256256255255255254254254254254254254254254254255255255255255255255255255255255255256255256256257257257257256254254253253253254254254254254254255255255256256257257258258258258258259259259259259259259259260260260260260 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999258260260260259259258258259258257258258251249247244247244243243243243244246245249253254255257257258258258259259259260260261261261260260260261262263265264264267268269270270271271271272273272272273273274274275276278277279280280279279279279279280280280280279279279278278276273999269269270269268269268999999999999999999274273274275276272274272268265264263262263265264999999999999999999999999999999999999999999999999999999999287285284285285285286287999999999999999999285287287287287287287287288288288288288288288288288288288288289288288288288288288288288287288288288288288288288288289289289289288288289289288288287288288288289289289288288288288288288287288287287288288288288288289289289289288289288289289289290290290290291290290290291291291290290289288288287286286286285286286286285285286285285285285285285285285285285285286286286286286286286285286286286286286286286287287287287287287287287287287287287286286286285285285285285285285285285285285285286286286286286287287287287287287287287286285285285284284284284283283283283283283283284284285284285285285285285285284284284283283283281281281280280280280280280280280280280279279280279279279279279279279279279279279279279279279279278278278278278277277277277277277277277277277277277277277277277277277277277277276276276276276276276276276276275275275275275275275275274273272271271271271271271271271271271270270270270270270269269269268268268268268267267267267266266266266265265265265264264264264263263263263262261261261262262262262262262261261260260260260260261261261261261261261261260260260260260259258256255254255255256256256256256255255255255254254254254254254254254254254255255255255255255255255255255256256256256256256257257258257257256255254254254254254254254254255255255256256256257258258258258258258259259259259259259259259260260260260261 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999258260260260259259259257259259259259258254253248246246246244245245245247246246249250252255256258258259260260260260260261261262262262261262262262264265264267269269270270271271271272273273274273273274275276276276278279279280279280280279279279280280281281280280280279278276273271270269269268268270999999999999999999999277276276277999999269270268265265265265263263999999999999999999999999999999999999999999999999999999288287287287287288288288288286999999999999999999285287287287287287287287287288288289289289288289288289289288289289289288289289289289288288288288288288288288288289288289289289288289289289288288288288288289289289289289289288288288288288288288288288288289289290290290290290290289289289289290290290290290291290290290290291291291290289288287287286286285285286286286286286286286285285285286285285286286286286286286286286286286286286286287286287286286287287287287287287287287287287287287287287287286286286286286285285285285286286286287287287287287287287287287287288287287287286286286285285285284284284283283283283283284284285285285285285286285285285284284284284283282281281280280280280280280280280280280280279280280280280279279279279278279278279279279279279279279279279278278278277277277277277277277276276277277277277277277277277277277277277277276276276276276276276276275275275275275275275274274274273272272272271271271271271271271271271271270270270270270269269268268268268268267267267267266266266266266266266265265264264264263263263263262262262261262262262262261261260260260260260261260261261261261261261261260260260259259259258257256255254255255256256256256256255255255255254254254254254254254254254255255255256255255255255255256256257257257257257257258258258258258258257256255254254255255255254254255255256256256257258258258258259259259259259260260260260260260260261261261 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999258259260260259259259258259260260259259256254249246246248246246245247248248249250252253256257258259260261262261260261261261263262263262263263264264266266268270270271270271271271271999999272272273274275277277278279280280280280280280280280280281280281280281280280278275272271268267269270999999999999999999999999999999999999999999999999999266263262262262262999999999999999999999999999999999999999999999999999999999288289288288288289288288287288288999999999999999284286286287287287287287287288288288288289289288289289289289289289289289289289289289289289288288288288288288288288288289289289288288288288289288288288289289289289289290289289289289289288289288288289289290290290290290290290290290290290290290290290290291290291291290291291291291291290289288287286286286286286286286286286286286286286286286286286286286286286287287286287287287287287287287287287287287287287287287287287287287287288288287288288288287287287287287286286286287287287287287287287287287287287287287287288288288287287286286286286286285285284284284283283283284284285285285285285285285285285285285284284284283282281280280280280280280280280280280280280280280280280280279279279279279279278279279279279279279279279278278278277277277277277277277276276277277277277277277277277277277277277277277277277277277277276276276276275275275275275275274274273273272272272272272271271271271271271271271271271271270270270269269268268268268268267267267267267266266266266266266265265264264263263263263262262262261262261262261261260260260260260260260260261261261261261260260259259259259258258257255255254254255256256256257256256256255255255255254254254254254255255255255255256256256255255255256256257257258258258258258258258259259259259258257256255255255255255255255255255256256256257258259259259259259259260260260260260260260261261262262262 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999259260260258259258258259259260260258256254248247246249250249248247249250251251255258258259260261261262263264263263264263264263264264264264265266267267269271272272270268999999999999999999272274276278278279279280281281280281281281281281281281281281281280280279275271268268268272999999999999999999999999999999999999999999999999999999262262257255259261265999999999999999999999999999999999292294295295295999999999290289288288288289289288288289289288287287285285286287286286287287286287287287288288289289290289289289289289289289289289289289289289289289288288288288288288289289289289289288288288289289289289289289289289289289289290290290290289290289290290290290290290290290290290290290290290291291291290290290291291290290290291291291291290290290289288287286286286286287287286286286286286286286286286286286286286286287287287287287287287288288288288288288288287287287287287287287287287287287288287288288288288288288288287287287287287287288288288288288287288288288288288288288288288288287286286286286286286285285284284284284284284285285285286286286286285286286285285284284283282282281280280280280280280280280280280280280280280280280280280280279279279279279279279279279279279279279278278278277277277277277277277276276277277277277277277277277277277277277277277277277277277277277276276276276276276276276275274274273273272272272272272271271272271272272271271272272271271271270270270269268268268268268267268267267267266266266266266265265264264263263263262262261261262261261261260260260260260260260260260260260260261260260260259258257258258257256256255254255254255256256257257257256256255255255255255255255255255255255255255256256256256255256256257257258258258258258258258258259259259259259259259258257255255255255255255255256256256257258259259259259259260260260260260261260261261262263263263264 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999259259259258257256258260259260260258257253248249248251252252250248251256256254257259259259261262263263264264265264264264265264264264265266267268269269270272273272270999999999999999999999274277279279279281281281282282282282282282281282283283281283281280279277273265270999999999999999999999999999999999999999999999999999999999999266263261254252257259262999999999999999999999999999293295296296296296296294999291291290288288289289289289289290289289289288287286287287287286286286286287287288288288289290289289289289290290290290289289289289289289288288288288288288288289289289290289288287287288289290290290290290290289289289289290290290290291291291290290290291291290290290291290290290290291291291291291291291291290290290291291291291291290290290289288287287286286286287286286286286286286286286286286286286286286286287287287287287288288288288288288288288288288288288288287287287287287287288288288288288288288288288288288288288288288289289289288288288288288288288288288288288288288288287287287287286286286286285285285285284285285285286286286286286286286286286285285284284283282282281281281281281281281281280280280280280280280280280280280280279279279279279279279279279279279279279279278278278277277277277277277277277277277277277277277277277277277277277277277277277277277277277276276276276276277277276275274274273273273272272272271271271271271271271271271271271271272272271271270270269269268268267267267267267267267267267266266265265264264263263263262261261261261261261261260260260260260260260260260260260260260260260259259258257257256255255255254254255255255256256257257256256256256256255255255255255255255255255255256256256256256256256257258258259259259259259259259259259260260259260259259259258257256255255255255256256256257257258259259259259260260260261261261261261262263264264264265265 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999249258259257257257258260261261260259257251250249249251252251249249252255256256256258259261262263264264265265265265265264264264264264266267269270271271271273274274273999999999999274275277278278280281282282282283283283283284284283282283284283282282281278275275272273271999999999999999999999999999999999999999999999999999999999999999999263252252253255259264268999999999999999999999294294296297296296296295293292292291290289289289289290290290290289289289288288288287287287286287287287288288288289290289289289289289290290290290289289289289289289288289289289289288289289289289288289288287288289290290290290290290290290290289290291291291291291291291291291291291291291290290290290290291291291291291291291291291291290290291291291291291291290290290289288287287286286287287287287286286286286286286287287287287287287287287287287287288288288288288288289288289289288289289288288288287288288288288288289289289288288289289289289289289289289289289289289288288288288288288288288288288288288288287287287287287286286286285285285284285285286286286286286286286286286286286285285284284283283282281281281281281281280281281280280280280280280281280280280280280279279279279279279279279279279279279278278278278278277277277277277277277277277277277277277277277278277277277277277277277277277277277277276276276276277277276275274273273273273272272271271271271271271271271271271271271271271271271271271271270270269269268267267267268268268268268267266265265265264264263263262261261261261261261261260260259260260260260260260260260260260260259258257257256256255255254254254254255255255256256257257256256256256256256255255255255255255255256256256256256255256257258258259259259259259259259259259259259260260260260260260260259258257256255255256256256256257257258259259260260260261261261262262262262263264265265265265265 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999258259258256256256258260260258258256253251249250252252252253254253255255256257258259261262263264264264265265265265264264264265265266268270272273272273274275276275274275276277278278279280279280282283283283284284284284284284284284284284283283282281278274275273273274273999999999999999281286999999999999999999999999999999999999999999999252255256256257264999999999999999999999295295296297297296296295295294293293293291291290290290290291291290289289289289288287287287286287287287287287288288289289290290290290290290290290290290289289289289289289289289289289288288289289287286287288288288289290290291291290290291290290290290291292291292292291291291291291291291291291291291290291291291291291291291291291291291291291291290291291291291291291290289288288287287287287287287287287287287287287287287287287287287287287287287287287288288288288288289289289289288289289289289288288288288288288288288289289289289289289289289289289290289289290290290289289289289289288288288288288288288288287287287287287287287286286286286285285285285286287287286286286286287286286285285285284283283283282281281281281281281281281280281280280280280280280280280280280280280279280279279279279279278278278278278278278277277277277277277277277277277277277277277277278278278278277277277277278278278278277277277276276277277277277276275274273273273273272272271271271271271271271271271271271271270271271271271271272271271271270269268268268268268268268269268267266265265264264263263262261261261261261261260260260260260260260260260260260260260260259259258256256256255255254254254254254255255256256256256257257257256256256256256255256256256256256256256256256256256257258259259259259259259260260260260260260259260260260260260260260260259258257256255256256257257257258258259260260260260261261262262262263263264265265265265265266 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999255259258257257256258259260258256255253252251250252253253253253253253254256258258259260262262263264265265264265264264264264265265266268270271272274275276277277276276277278279280281282282282282283284284284284284285285285284284283283283283283282280279274276277277277275278281999999999279281999999999999999999999999999999999999999999999260258262265267272999999999999999999294295295296296297296296296294294293293293293292292291291291291291291290290289289288287287287287287286287286287287288288289289290290290290290291290290290290290290290290290290290290289289289289288288286286287289289289291291291291291291291291291291291292292292292292292291291291291291291291291291291291291291291291291291291291291291291292291291291291291291291291291290289288287287287287288288288288288288288288288288288288288288288288288288288288288288288288289289289289289289289289289289289289288288288289289289289289289289289289290290290290290289289290290290290289289289289289288288288288288288288287288288288288287287287286286286286285285285285286286286286286286286286286286285285285284283283282282281281282281281281281281281281280280280280280280280280280280280279279279279279279279278278278278278278278277277277277277277277277277277277278277277278278278278278278278278277278278278278277278278277277277277278277277275274274274273273273272272272272272271271271271271271271271271271270270270271271271272272271271270270269268268269269269269268267267265265264264263263262262261261261261261261261261261261260260260260260260260260260259258257256256255255255255254254254254255255256256256256256257257257256256256256256256256256256256256256256256257258259259259259260260259260260260260260260260260260261261261260261260260260259258257256256257257257258258259260260260260261261262262263263264264265266266266266266267 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999260259258258258259259259259257256255254254251250250251250252252253255257256256258260261261262262263263263265264263264264264264265267270272272274275278278277277278278280281282283283283283284285285284284285285285285285284283283283283282281280279281277279279279278999999283999999999280280280999999999999999999999999999999999999999999264260268273276276286999999999999292293294295295295295296295295295294294293293293293292292292292291292291291289289289288287287287287287287287287287287287288288289289290290291290290291291291291290290290290290290290290290290290290289289288288288289290290291291291291291291291291291292292292292293293292292292292291291291291291291290291291291291291291291291291291291292291291292292291291291291291291291290289288287287288288288288288288288288288288288288288288288288288288288288288288288288288289289289289290289290289290289289289289289289289289289289289289289289289289289290290290290290290290290290290289289289288288288288288288288288288288288288288288288288287287286286286286285285286286286286286286286286286286286286286285284283282282282281281281281281281281281281280280280280281280280280280280280279279279279279279279279279278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278277277278277276275275275274274273273273272272272271271271271271271271271271271271270270270270271271271272272272271271270270270270270269269269268267266265264264263263262262261261261261261261261261261261261260260260260260260260260259258257256256255255255255254254255255255255256256256256256257257257257257257256256256256256256256256256257257258259259260260260260260260261261261261261261261261261261261261261261261261260260259258257257257257258258259260260260261261261262262263263264264265266267266266266267267 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999258260258258258259260261259258257257256255253251250250250252253255255255255256257259260260261261262262262264263263264265265265266267269271273274275276277277278279279280282283283284285285285285285285285286286286286286285284284283282281280279271279280281281281281280999999999999999999999277279999999999999999999999999999999999999999999269279281282284287289999999999291293294294295295295295294295295295295294294294293293293293292291292291292290289289288288287287287287287287287287287287288288288289290290290290290290291291291291291291291291291290291290291291290290289289289290290290291291291291291291291292292292292292292292293293292292292292291291291291291290291291291290291291291291291291291291292291292292292291291291292292292291290288288288288288288288288289289289289289288289289288288288289289289288288288288288289289289289289290290290290289290290290289289289289289289289289289289289289289289290290290290290290289290290290289289289289289288288288288288288288288288288288288288288288287287287287286286286286286286286286286286286286286286286286286285284284283282282282282281281281281281281281281280280280280280280281280280279279279279279279279279279279278278278278278278278278278278278278278278278278278279279278278278278278278278278278278278278278278278278278278278277277277277276275275275274274274273273273272272272272271271271271271271271271271271270270270270271272272272272271271271270270270270270269269268268267265265264264263263262261261261261261261261261261261261260260260261261260260260259259257256256255255255254255254254254254255255256256256256256256257257256256257257257257256256256256257258259259259260260260260261261261261261261261261261261261261261261261261261261261261261260259258257257257258259259260260261261262262262263263264264265265267267267267267268268 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999258262259259260260260261260260259258257256255253251251252254254255255254255257258258259258260260261262262263264264265266266267267268270271273274274275277278279280281282282283284286286286285286285285286286286286287287287285284284283281999281279281282282283283282282282999999277277999999278279999999999999999999999999999999999999999278282285286287288288290289290291292293294294294295295295296297296296296295295294295294294293293293293292291291290290289288288288287287286287287287287287287288288289289290290290290290290291291291291291291291291291291291291290290290290290290290290290291291292292292292292292292292292292293293293292293292292291291291291290290290290290290290290291291291291291291291292292292292292292292292292292292291289288288288288288288289289289289289289289289289289289289289289289289289289289289289289290290290290290290290290290290290290289289289289289289289289289289290290290290290290290290290290290290290290290290289289289289289289288288288288289289289289289288288288288288287287286286286286286286286286286286286286286286286286285284284284283282282282282282281281281280280280280280280280280280280280280280279279279279279279279279279279278278278278278278279278278278278278279279279279279279279278278278278278278278278278278278278278278278278278278278278277277276276276275275275275274274273273273272272271271271271271271271271271271271270270270271271271272272272271271271271271270270269269269269268267266266265264264263263262262262261261262261261261261261261261261261260260260260259259257257256255255255255255254254254254255255256256256256257257257257257257257256256256256256257258258259260260260260260261261261261261262262262262261261261262261262262262262262261261261261260259258258258258258259260260261261261262262262263263264265265266267268268267267268268 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999259261262261263261261260262261260259257257257255253252253254254255256255255256257259259259260261261263264264265265266267267267267268270272274274274275276278280281281282283285285285285286286286286286286286286287287287287286284284282279999999281282283284284283282283282277279277277999276278281999999999999999999999999999999999999283286288289288289289290291292292293293295295295296296296297297297297297296296296296296295295295293293293292291291291290289288288288288287287287287287287288288288288288289289290290290291291291291291292291291291291292292291291290291291291291291291291291291291292292292292292292292293292293293293293293293293292292291291291291290290290290290290290291291291291291291292292292292292292292292292292292292291289288288289288289289289289289289289290289289289289289290289290290290290290290290289290290290290290290290290290290290290289289289289289289289289289289290290290290290290290290290290290290290290290290290290290290289289289289288288288288288288288289288288287287287287286286286286286286286286286286286286286286286286285285284283284283282282282282282282281281281280280280280280280280280280280280280280279279279279279279279279279279279278278279279279279279279279280280279279279279279279278278278278277278278278277277278278278278278278278278278277277277276276276275275275275275274274273273272272271271271271271271271271271271271271270270271271272272272273272272271271271270270269269269269269268267266265264264263263262262262262262262262262262262262262262262262261260260260260259258257257256256256256256256256256255255255255255256256256256256256256256256256256257257257258259260260260260260260261261262262262262262262262262262262262263263263262262262262261261261261260259258257258258259259260260261261261262262263263264264265266266268268269268268268268 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999261262263263262263263262262261259258258256255254254254254255256255255256256257259260261262263264265265265266267267268268268268270272274275275276277279280281283284285285286287286287286286286286286286286287287287287286285284283282282282283283284285285285284283282279277276277275276281286999999999999999999999999999999999283286288290290290291292292293294294294295296296296297297297297298298297297297297297297297296296295295295293293291291291290289289288288287287287288288288288288288288288288289289290290290291291291291291292292292291292292292292291292291291291291292291291291291292292292292292292292292293293293293293293293292293292292291291291291290290289290290290290290290291291291291291292292292292292292292292292292291290289289289289289289289289289290290290290290290290290290290290290290290290290290290290290290290290290290290290290290290290289289289290289289290290290290290290290290290290290290290290290290290290290290290290290290289290290289289289289289289288288288288288287287286286286287287286286286286286286287286286286286286285285284284284283283283283283282282281281281281281280280279280280280280280280280280280280280279279279279279279279279279278278279279280280280280280280280279279279279278278278278278278277278277278277278278278278278278278278278277277276276277276276276276276276275275274274273273272272271271271271271271271271271271271271270271271272272272273273272271271271270270270270269269269268267266266265264264263263263262262262263263264263263263263263263263262261261261260260259258257257257257257257257257257257257257256256256256256256256256256256256257258258259259260260260260260260261261262262262262262262262263263263263263264263263263263262262262262261261261260259258258258259259260260261261262262263263263264264265266267267268269268268268268268 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999263263263264264264263261260259259258257256256255256255255256254256256256258260261263263264265266266266266267268268268270272272273274275276278279280281283284285285286286286287287287287286286286286286287287287286287286285285285285285284286287287286285284282280279999999999999280283999999999999999999999999999999999284288290291291292292293293293294295295296296296297297298298298298297297297297297297297297297296296296295294293292291291290290289288288288288288287288288288288288288289288289289289290290290291291291292292292292292293293292293292291291291291291292292292292292292292292293293293293293293293293293293293293293292292292291291291290290290290289289290290290290291291291291291291292292292292293292292292292291290289289289289289289290290290290290290290290290291290290291290291290290291291290290290290290290290290290290290290290290290290290290290290290290290290290290290290290290290290290290291290290290290290290290290290290290290290290289289290290289289289289288288287287287287286287287287286286286286286286286287286285285285284283283283283282282283282281281281281281281281280280280280280280280280280280280280280280280279279279279279279279279279279279280280280280280280280280279279278278278278278277278277277277278278278278278277277277277277277277277277277277277276276276276276276276275275275274274273273272272271271271271271271271271271271270271271272272272273273272271271271270270270269269269269268268267266266265264264264263263264265264264264264264264264264264263263262262261261261260259259259259259258259259259259259259259258258258257257257257257258258258259259260260261261261261261261261261262262262262262263263263264263263263264264264264264263263262262262262261261261260259258259259260260261261262262262263263263264265266267268268269269268268268269269 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999264263264266265264263262262261259257257256255255255255254254257255256258260262263264265266266266267267268268269269270272273274275276277279279281282283284285285286287287288288287287287286287287287287287286287288289288287285286286287288287287286285284283281280999999276280279999999999999999999999999999999999283286289290291292293293293294294295296296296296296297297298297297297298297297297297297296297297296296296296296294293292291291290289289289288288288288288288289289289289289289289289289289289290291291292292292293292293293294293293293292292292292292292292292292293293293293293293293293293293293293293293293293292292292292291291291290290290290290289289290290290290291291291292292292292292292293293292292292290290289290290290290290290290290290290291291291291291291291291291291291291291291291291291291291291291290290290290290290290290290290290290290290290290290290290290290290290290291290291291291291291291290290290290290290290290290290290289289290290290289289289289288288288287287287287288287287287287287286286286286286285284284284283282282282282282281281281280281281281280281280280280281280280280281281281281281280280280280280280280279279279279280280280280280280280280280279279278278278278278278277278277277277278278278278277277277277277277277277277277277277277277277277277277277276276276275275275275274274273273272271271271271271271271271271271272272272272273272272271271270270270270270270269269269268267266266265265264264264265265265264264264265265265264265265264263263262262261261260260260260259260260260260260260261260260260260260259259259259259259260260260261261261261261261261261261261262262262263263263263263263264264263263264264264264264264263262262262261261261261260259259259259260260261262262262262263263264265266267268269269270269268267268268269 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999263264263265265265264264264262260257256256254255255255254255255256258261262263266266266266266266267268269269270270271274275276277277279279281282283285285285286286287287288288287288287287287287287287287288288288288288288288287287287288288288286285284283282281999278277279280999999999999999999999999999999999285288290291292293293295294294295296296296296296296297297297297297297296296296296296296296296296296295296296296295294293292291290289289289289288288288288289289289290290290289288289289289289289290291292292293293293293293294294293293293292292292292292292292293293293293293293293293293293293293293294293293293292292292292291291290290290290290290290290290290290290291291291291292292292292293293292292292291290289290290291291290290290290290290291291291291291291292292292292292292292292292291291291291291291291291291291291291290290290290290290290290290290291290290290290290290291291291291291291291291291291291290290290290290290290290290290289290290290290290290289289289289289289288288288288288288288287287286286286286285285284284284284283282282281281281281281281281281280281281280280280281281281280281281281281281281281281280280280280280280280280280280280280280280280280280279279279278278278278278278278277277278278278277277278277277277278277277277277277277277277277277277277277277277276276276275275275274274274273273273272272271271271271271271272272272272272272272272271271270270270270270270269269269268267266266265265265265265265265265265264264265265265265265265265264263263262262262261261261260260261261261262262262262262262262262262261261261261262261261261262262262262262262262262262262263263263263263263263264263263264264263263264264264264264264263262262262262261261261261260259259260260261262262262262262263263265265266268269270270270270269267268269268 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999264264264265265265265264263259256257255254254254254255256258259261264263265266266266266266266268270271271271271273275276277278278280280281282284285286286285286287288288288288289288288287286286287288289289288287288288288288288288289288287284285285284283281279280279999999999999999999999999999999999999999286289291291292293293294295295296296297297296296296297297296297296296296296296296295296296296296295296296296295295295294293292291290289289289289289288289289289290290290290290290289289289290290291292292293293293294294294294294293293293292292292293293293293293293293293293294294294293294293293293293293293293292292292291291291291290290290290290290290290290290290290290291291292292292292292293292292292291290290290291291291291291291290291291291291291291292292292292292292292292292292292292292292291291291291291291292291291291291291291291291291291291291291291291291290290291291291291291291291291291291291290290290290290290290290290289289289290290290290290290289289289289289289289289289288288288288287287287286286286285285284284284283283282281281281281280281281281281280281281280280281281281281281281281281281281281281280280280280280280280280280280280280280280279280280280279279279279279279279278278278278278278278278278277277277277278278277277277277277277277278278278277277277277277277276275275275274275274274274273273273273272272272271271272272272272272272272272272271271270270270269270269269269268268267267266265265265265265265265265265265265266266266266265265265265264264263263263263262263262262262263263263263263263263263263263263263263263263263262262262262262262262262262262262263263263263263263263263264264264264264264264264264264264264264264263263262262262262262262261260259259260260261262262262262263263264265267267270270271271271270270268268269269 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999265265265265265265264261257257256254253253254254256257259261263263264265265265266266267270273274274273273274276277277278280281281282283283286286286286286287287288288289289288288287287288288289288288287286287288289289289289289288286286286286285284283282280999999999999999999999999999999999999999284287290292293293294294295295296296296296296296296296296296296296295295295295296295295295295296295296296295296296295295295293292291290290290290290290290290290290290290290290290290290289289290290291292293293293293294294294295294294293293293293292293293293293294293294294294294294294293293293294293293293293293292292292292291291291291291291291290290290290290290290290291291291292292292292292292292292291290290290291291292292291292291291291291292292292292292292293292293293293293293293293293293292292292292292292292292292291291291291291291291291291291291291291291290290290291291291291291291291291291291291290290290290290290290290290289289289289290290289289289289289290290289289289289289288288288288287287286286286286285284285284283283283282281281281281281281281281280280280280280281281281281281281281281281281281281281281281281280280280280280280280280280280280280280280280280279279279279279278278278278278278279278278278278278278278278278278278278278277278278278278278278278278277277276276275275274274274274274273273273273273272272272272272272272273273272272272272272271270270270269269269269269268268268267267266266266265265265265265265265265266266267267266266266266266265265264264264264264264264264264264264264264264265265265265264264264264264264264263263263263262262262263262263263263264263264264264264263264264263264264264264264264264265264264264264263263262262262262262261260260260260260261262262263263263264266266268270271271272272271271270269270270269 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999270999999999999999999999999999265265265265265264262258258255254255255257256255256260261261261263266265267267267268270273275275275275275277278279279280281282282283284286286286287286286287288289289289289288288288288289289288289288288288289290290289289289288286286286287286285284284284999999999999999999999999999999999999999285289292293293294295295296297296296296296296296296296296296295295295295295295295295295295295295295295295295295295296296295294293292291290290290291290291290290290290290290290290291290290290290291291292293293294294294295295295295294294293293293292293293293293293293294294294294294294293293294294294293293293293293293292292291291291291291291291291290290290290290290290291291291292292292292292292292291291291291291291291292292292292292292292292292292292292292293293293293294294294294294294294293293293293293293293292292292292292292292291291291291291291291291291291291291291291291291291290291291291291290290290290290290290290290290289289289290290289289290289289289289290290290289289289289288288288288287287286285285285285284284284284284284283282282282282281281281280281281281281281281281281281282281282282282281282282282281281281281281281280280280280280280280280280280280280280279279279279279278278278278279279279279279279278279278278278278278278278278278278278278278278278278278277277276276275275275274274273273272272272272272273273272272272273273273273273272272272271271270270270269269269269269269269268267267267267266265265265265266266266266267267267267267266266266266266265265265264264265264264264264265265265265265265265265265264264264265265264264264264263263263263263263263263264264264263264264264264264264264264264264264264264264265265265264264263263263263262263262262261261260260261261261262262263264264266267268271272273273273272272272271270270270269 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999270999999999999999999999999999999266265265265265263259258259258257256257257257259261262263262263265265266267268269272274275275276277277277278279280281281282282283285286286287287287288288289289288288288288289289289289289289289289289289290290290290290290289287287287287287285285285286999999999999999999999999999999999999999285290293293293294295296296296296295296296296296296296296295295295294294294294294294294294294295295295295295295295296295295295293292291291291291291291291291290290289289290290290291291290290291291292292293293294295295295295295295294294294293293293293293293293294294293294294294294294294293293293293293293293293293293292292291291291291291291291291291291291290290290291291291291291292292292292292292291291291292292292292292292292292292292292292292292292293293293294294294294294294294294294294294294294294293293293293293292292292292292292292292292292292292291291291291291291291291291291291291291290290290290290290290290290289289289289289289290290290289290289289289289289290290289289289288288288288287287287287286285285285284284284284284283283283282282282282281281281282282282281281281282282282282282282282282282282282282282282282282282281281281280280280280280280280280280281280279279279279279279278279279279279279279279279279279279279279279279278278278278278278278278278278278278278277277276276275275274274273273272272272272272272272272272272273273273273273273272272272271270270270269269269269269269269268267267267267266266266266266266266267267267267267267267266266266266265265265265265265265265265265265265266266266266266266265265265264264265264264264264264263263263263263264264264264264264264264264264264264264263264264264264264264265265265265265264263264263263263263263263262261261261261262262262263263264266267269270272272273273273272272271271270270269269 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999270999999999267264999999266266266266266263260260261262259259260260261263264265266267269270267269270271272273274275276277278278279279280281281281282282283284286286286287287288288288290289288289289289289289289289289289291291290291291291291291291289288287287287288288286286288288999999999999999999999999999999999999288291293294294294295295296297296296296296296296296296295295294294294294294294294294294294294294295295295295295295295294295295294292292291291291291291291291290289289289290290291291291290290291291292292293294294295295295295295294294293293293293293293293293293293294294294294294294294294293293293293293292293293293292292292291292291291291292291291291291291291290291291291291291291291292292292292291291291292292292292292292292292292292292292293293293293293293294294294294295295295294294295295295295295294294294294293293293292292292292292292292292292292292292291291291291291291291291291291291290290290290290290290290289289289289289289289289289289290290290289289289289289289289289289289288288288288287288288287286286286285285284284284284284283283282282282282282282282282282282282282282282282282282282282282282282282282282282282282282282282282282282281281281280280280280280281280280280279279279279279279279279279279279279279279279279279279279279278278278278278278278278278278278278278278277276276276275275274273273272272272272272272272272272273274274274274273273273272272271271270270270269269269269269269269268268267267267267266266266267267267267267267267267267266266266266266266265265265265265265265266266266266266266266266266265265265264264265264264264264264264264263264264265264264265264264265265265265264264264264264264264265265265265265266266266266265264264264264263264263262262262262262262263263264265266267269271271272273272273273273272271271270270269269 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999271999999999999265267268268267267266264262261262262260260261263265267266268269270273273271271272272274274276277278279280280280280281282282281281282283284285286286286287288288289290290290289290290289289289290290290291291291290291291291290290290288288288288290289288289289289999999999288288999999999999999999999290292294294294295295296296296296296295296296296295295295294294294294294294294294293294294294294294295294295295295295295295295294293292291291291291291291291290290290290290290290290291291291290292292292293294295295295295295294294294294293293293293293294293293294294294295295295295294294294293293293293292292292292292292292292292292292292292291291291291291291291291291291291291291291291292292291291291291292292292292292292293293293293293293293293293293293293294294295295295295295295295295295295295295295295295295294294294293293293293292292293292292292292292292291291291290290290290290290290290290290290290290289289289289289289289289289289289289289289290289289289289289289289289289289289288288288287288287287286286285284284284284284283283283283282282282282282282282281282282282282282282282282282282282283283283283283282282283282282282283282282282282282281281281280281281281280280279279279279279279279279279280280280280280279279279279279279279279278278279278278278278278278278278278277277277277276276275275274273273273272272272272272272273274274274274274274274273273272271271271270269269269269269269269268268268268268268267267267267267267266267267267267266266266266266266266265265265265265265265266266266266266267267267266266265265265265265265264264264264264264264264265265266266265265265265265265265265264264264264264264264264265265264265265266266266266265265265264264264264263263263263263264264265265267269270272272273272272272273273272272271270271269269269 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999271271270999999999272271270269268265264263262262261261262264267269271271272273274274274274272274275277278279279279279280281281281283282283281283284286285286287288288289289290290291290290290290290290290290290291292291291290291291290291290290289290290290290290290289289290999999999292999999999999999999999287291293294294294295295296296296296296296296296296296295294294294294294294294294294293293293293294294294294294295295295295295295294294292291291291291291291291291291290290290290290290290290290291292292293293294295295296295295295294294294294293293293294294294294294294295295295295295294294294293293293292292291292292292292292292292292292292291291291291291292291292292292291291291291291291291291291291291292292292292292292293293293293293293293293294293293294294295295295295295295295295295296296296296296296296296295295295294294294294294293293293293293292292292292292291290290290290290290290290290290290290290290289289289289289289289289289289289289289289290289289289289289289289289289289289288288288288288288287286286285285284284284283283283283283282282282283282282282282282282282282282282282282282282283283283283283283283283283283283284283283282282282282282282281281281281281280280279279279279279279279279280280280280280280280280279279279279279279278278278278278278278278278278278278277277277277277277276275275274273273273272272272272273273274274274274274274274273273272272271271270269269269269269269268268268268268268267267267267267267267267267267267267267267267266266266266266266265265266266266266267267267267268267267267267266266266266265265265265265265265265265265265265266266265265265265265265264264264264264265264264264265265265265265265267267267267267267267266265265265264264264264264264265266268270271271272273273272272272273273272271270270270269270269 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999271270269270271273271272270267265266266266266267268269271272273275275275275276276276276277278279280280281281281281281282283283282284283284285285286288289289290291291292291291292290290290291291291291292293293292291291291291290291291289290291291291291291291290291292999999292293999999999999999999999290292294294294295295295295295295296296296296296296296295294294294294294294294294294293293293293293293294294294295295295295295295295293293291291290291291291291291291290290290290290290290290291291292292293294295295295296295295295294294294294293294294294294294294294294295295295294294295294293293293293292291291292292292292292292293293292292292292292292292292292292292292292292292291292291292292292292292292292292292292293293293293293293293293293294294294294295294295295295295295295295296296296296296296296296296296296296295295295295295294294294294293293292292292292291291290290290290290290290289290290290290289289289289289289289289288289289289290290290290290289289289289289289289289289288288288289288288288287287286285284284284284283283283283283283283283282283282282282282282282282283283283282282282283283283283283283284284283283283283283282282281281282282282281281280281281280280279280279279279279279280280280280280280280280280280280280279279279279279279278278278278278278278278278277277277277277277277276275275275274273273273273273273273274275275275275275274274274273273272271270270270269269269269269269268269268268268268268268268268268267267267267267267267267267267267266266267266267267267266267267267268268268268268268267267267266266266266266266266266266265266266266266266266265265265265265265265265264265265264265265265265265265265265266267268268268268268269268268268268267267267267267268269270270271272272272272272273273272272272272271270269269269269269 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999270271271271272271270269267268268269270272273273275275275276276276276277277278278279280280281282282282283283284284284284285284285285286286288288289290292292292292293292292292291291291292292292292292292292291291292291291290290290292292292293293293292291290999999999999294295999999999291290289291293294294294295295295295295296296296296296296296295295294294294294294294294294294294293293293293294294294294294294294295295295295294294292290290291291291291291291291291290290290290290291291292292293294295295296295295295295295294293293294294294294294294294294294295295295294294294294294294293293293292292291292292292292293293293293293292292293292292292293293293293293292292292292292292292292292292292292292292293293293293293293293293294294294294294295294295295295295295295295295295296296296296296296296296296296296296296296296296295295295295294294293292292292292292291291291291290290290290290290290290290289289289289289289289289289289289289290290290290290289289289289289289289289289289289288288288288288287287286285284284284284283283283283283283283283282282282282282283283282283283283283283283283283283284284284284284283283283283283282282281281281281281282281281281281281280280280279279279279280280280280280280280280280280280280280280279279279279279278278278278278278278278278278278278278278278278277277277277277276275275274274274275275275276276276275275274274274274273273272271271270270270269269269269269268268268268268268268268268268268268268268268267267267267267267267267267267267267267267267267267267268268268268268268268268268268267267267267267266266266267267266266266266266265265265265265265265265265265265265265266265265265266266266267268268268268268269269269269269269269270269270270271271271271271272273272272272273273273272271271269270269269269268 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999273272272274273270269270268268268269272274275275276276276276277277277277278279280280281282282283283284284285286286286287287286286287287288288289289290292293293292293293293293292292293292292293293292293292292291292291291291291292292293293294294294294293292292292999999999295999999999291292291292293294294294294295295295295296296296297296296296296295294294294294294294294294293293294293293294294294294294294294294294295295295294294293291291291291291291291291291291291290290290291291292292293294295295296296295295295295294294293293293294294294294293294294295295295295294294294294294293293293293292292292292292292292292293293293293293292292293293293293294294294294293293293292292292292292292292292293293293293293293293293294294294294294294295295295295295295295295295295295295295296296296296296296296296297297297296297296296296296295295295295294294293293292292292292292291291291290290290290290290290290290289289289289289289289289289289289290290290290290290289289289288288288289289289288288288287287287287287286285284284284284284284284284284283283283283283283283283283283283283283283283283283283283283284284284284283283283283283283282282281281281281281282281281281282281280280280279279279280280281281280280280280281280280280280280280280280279279279279279278278278278278278278278278278278278278278278277277277277277277276276275275276276276276276276275275274274274274273273272272271271270269269268269268268268268268268268268268268268268269269269269269269268269269269268268269268268268268267267267267267267268268268268268268268268268268268268268268268267267267267267267267266266266265265265266265265265265265265265266266266266266266267267267267268268268268269269269269269269270270271271271271271271271271271272272272272272273273272271270269269269269268268268 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999274272273272269269270269268268269271274275276277278277277277277277278279280280282282283284284284285285286286287287288287287287288288288289289290291293293293293293292293293293293293293293293292292293293293293292292292292292293293293294294294295295295294293293293293294295999999291291291292292293293294294294295295295295296297296296296297296296295294294294295294294294293293293294294293293293293294294294294294294295295295295294293292291291291291291291291291291291291291291292292292293293295295296296296295295294294294293293293293294294294294294294294295295295295295294294294294294294293292292292292292292292292292292292292292293292293293293294294294294294294294293293293293293292292292293293293293293293293293293293294294294295294295295295295295295295295295295295295295295296296296296296296296297296297297296296296296296296296295295295294294293293293293293292292292292291291291291290290290290290289289289289289289289289289289289289290290290290290290289289288289289288288289288288288287288287287287287286285285284284284284284284284284283283283283283283284284284284284284284283283283283283283283284284285284284284283284283282282282282282281282282282282281281282281281280280280280280281281281281280280281281281281281281280280280280280280280279279279279278278278278278278278278278278278278278278278278277277277277277277276276276276276276276275275275274274274274274273273273272271271270270269269269269268268268268268268268268268268268269269269269269270270270270269269270270269269269268268267267268267268268268268269269269268268269268268268268269268268268267267267267266266266266266266266266265265265265265266266266266266266267266266267267267268268268269269269269269269270271271271272271271271271271271272273274273273272272271270269268268269268268268269 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999274274272270269269269269269269271273275278278278279278277278278279279280282282283283284285285286286287287287288287288288289289289289289290291291292293294294293293293293294294293293293293293293293293294294294293293293293294294294294294295295295295295295294294294293999292293292292292292292293293294294295294295295295297297296296296296296296295294295295295294294294294293293293293293293293294293294294293294295294294295295294294293292291291291291291291291291291292292292292292292293294295296296296295295295294294293293293293293293294294294294295294294295295295294294294294294294293293292292292292292293293293293293293293293293293293294294294294294294294294294294293293293293293293293293293293293293293293294293294294294294294294295295295295295295295295295295295295295295295296295295296296296296296296296296296296296296295295295295295294294294294293293293293293292292292292291291290290290290289289289289289289289289289289289289289290290290290290290289288288288288288288288288288288288288287287287286286286285285284284285284285285284284284283283283284284284285284284284284284283283283284284284285285285285284284284284283283282282282282282282282282282282281282281281281280280280281281281281281281281281281281281281281280280280280280280279279279279279278278278278278278278278278278278278278278278278277277277277277277277277276276277276276275275274274274274274274273273273272272272272271271270269270269269269269269268269269269268268269269269270270270270270270270270270270270269269268268267268268268267268268268268269269269269269268268268268268268268268268267267267267266266266266266266266266266266266266267267266266266266266266266267267268268268268269269269269269269270271271271272271271271271271271273274273272272271271270269269268268268268268268268 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999275274272272270269269268268269271273276275278278278278278278278279279281282282283284284286286287288288288288289289289290289289289291291291291292292294294294294294294295294294294293293293292293294294295295295295294295294295294294294295295296296296296296296297295294293293294293293293293293293293294294295295295295296297298298298297296296296295295295295295295295294294294293293293293293293293293293294294294294294294295294294294293292292292292292291291292292292292292293292292293294295295296296295295295295294293293293293293293293293294294295295295295295294294294294294294294294293293293293293293293294294294294294294294294294294294295295295295295295294294294294294293293293293293293294294293293294294293294294294294295295295295295295295295295295295295295295295295295295296295295295296296296296296296296296296296296296295295295295294294294294294294293293293293293293292292292292291291291291290290290290290290290290290290289290290290290290290290290290289289288289289288288288288287287287287287287286286286285285285285285285285285285285284284284283284284284285284284284284284284284284284284285285285285285284284284283283283282282282282282282282282281282282281281281281280280281281281281281281281281281281281281281281280280280280279279279279279278279278278278278278278278278278278278278278278278278278277277277277277277277277277277276276275275275274274274274274274273273273272273272272272272271271270270270269269269269269269269269269269269269270270270270270270271271271270270269268268268268268268268268268268269269269269269269268268268268268268268268268267267268267266267267267267266266266266267267266267267266266266266266267267267267267268268268268268269269269269270271271271272272271271272271272273273271271271270270269269269269268268268268268269 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999276274276274274273272270269266265265269270272274276278278277277278278278279280281282282283284285286287287288289289289290290290290290291290291291292292293293294295295295295295295295294293293294293293294294294295295295296296295295295295295295296296296296296296296296296297297296296295293292293293293294294294295295295295296296297298298297297297297297296295295296296295295294295294293293293293293293293293294294294294294294295295294295295294293293292292292292292293293293293293293293293294295295296296296295295295294294294294294294293293293293294294295295295295294295295295294294294294294294294294294294294294294294294294294294295295295295295295295295296295295294294294294294294294294294294294294294294294294294294294294295295295295295295295295295295295295295295295295295295295295295295295296295296296296296296296296296296296295295295295295294294294294294294294293293293293293292292292292292292292291291291290290290290290290290290290290290290290290290290290290289289288289289289288288287287287287287286286286286286286285285285285285285285285284284284284283283283284284284284284284284283283283284284284285285285285284284283283283283282282282282282282282282281282282281281281281281280281281281281281281281281281281281281281281281280280280279279279279279278279278279278278278278278278278278278278278278278278278278277277277277277277277277276276276275275274274274274274274274274274273273273273273273272272272271271271271270270269269269269268268269269269269270270270270270270270271271271270269268268268268268268268268268269269270269269269268269269268268269269268268268268268267267267267267267267267266266267266266267267266266267266267267267267267267268268268268269269269269270270271272272272272272271272272273272271271271270269269269269269268268268268268268268 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999279278277277277275274273271268267267265264268270272274275277279277277278279279279281281282282283285286287287288289289290290290290290290290291291291292293293293294294295295295295296295294293292293293293293294294294295295295295295295295296296296297297297298297297297296296296297297296295294999291293293294293294295295295295296296296297298298298297297297297296296296296296296295295295295294293294294294294294293294294294294294295294294295295295295294294293292293292292293293293293293294294295294295296296296296296296295294294294294294294294293293293294294295295295295295295295295294294294294294294295295295295295295295295295295295295295295295295296296296296296296295295295295294294294294295294294294294294294294294294294294295295295295295295296296296296295295295295295295295295295295295295295295295295295295295296296296296295295295295294294294294293293293293293293293293293293293292292292292292292292291291291291291291290290290290290290290290289290290290290290290289289289289288289288288287287287287287287287286286286286286285285285285285285285284284284284284283283283283284284284283283284283283283284284284285285285285284284283283283282282282282282282282282282282282282282282282282281281281281281281281281281281282281281281281281281280280280280280280279279278278278278278278278278278278278278279278278278278278278278277277277277277277277277276276276275275274274274274274274274274274274274274274274273273273273273273273272272271270270270269269269269269269269269270270270270269269270272271270269269268268268268268268268269269270270269269269269269269268268268269269268268268268267267267267267267267267267266266267267267267267267266267267267267267267268268268268269269269269270270270272272272272271271271271272271270270270270269269269268268268268268268267267268268 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999278280279279277278279276274273271267266266267266269271273274275276277278278279280279279280281281281282284286287287287289290290290290290290291291291292292293293293294294295295295296295295294294293292293293293294295295295296295295295296296297297297297298298298298297297297297297297297297296295294999292293294294294294294295295295295295296297298298298298298297297296296295296296295295295295295295294293294294294294293294294293293294294295295294294295295295294294294293293293293293293294294294294295295296296295295296295295295294294294294294294293293293293294294295295295295295295295295295294294294294295295295295295295295295295295295295295295295295296296296296296296296295295295295294294294294294294294294294294294294294294294294294294295295295295295295295295295295295295295295295294294294294294295295295295295295295295295295296295294294294294294294293293293293292292292292292292292292292292292292292292292292291291291290291290290290290290290290290290290290290291291290290289289289289289289288287287287286286286286286285286286285285285285285285285285284285284284284284284284284284284284284283283283284283284284285285285285285285284284283283283282282282282282282282282282282281282282282282281281281281281281281281281281281281281281281281281280280280280280280279279279279279279278278278278277278278278279279279279279278278278278278277277277276276276276276275275275274274274274274274274274274274275274274274274274274274274274274273273273273271271270270270271271271271271270269270270269269270272272271270269269269269269269269269269270270270270270269269269269269269269269268268268268268268268268268268267267267267267267267267267267267267267267267267267267267268268267267268268269269270269271272272272272271271271271271271271270270270269269269269269268268268268268268268268 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999280280279280279280277277278276274273271269268268269269270272274274276278278279279279280279279280281281282282283285286286287289290290290290290291291291291291292293293293294294295295295296295295294294293292293293293294295296296295295295296296297297298298298298298298298297297296296297297297296296295293292293294294294294294294294295295296296296297298298298298298297297297296295295295296295295295295295295294294294294293293294294294294294294294294294294295295295295294295294294294294294294294295295295295295296296295296295295295294294294294294294293294294294294294294295295295295295295295295294294294294295295295295295295295295295295296296296295295295296296296296296296296296295295295295294295295295295295294294294294294294294294294294294294295296296296296296295295295295295295295295294294294294294294294294295295295295295295295295295294294294294293293293293293292292292292292291291292292292291291291292291291291291291291291291291290290290290290290290290290290290290290290290290289289289289289289288287287286286286286285285285285285285285285285284284284284284284285285284284284284284284284284284284283284283283284284285285285285285285284284284283283283282282282282282282282282282282282282282281281281281281281281281281281281281281281281281281280280280280280280279280279279279278279279278278278278278278278279279279279279279279278278278278277277277276276276276276275275275274274274274275275275275275275275275275275275275275274274274274274274274274274274274273274274273273273272271270270270269270272272273271270270269269269269269270270270271271271271270270270269269269269269269268268268268268268268267267267267267266266267267266266267267267268268268268269269268268268268268268268269269270270271272272272272272272272272271271271271270270270269269269269269268268268268268268268 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999278279281279279278280279279278277276273271269268268269270271272273275277278279279281280280280281281281281282283284284285286287288289289290290290291291291291292293293293294294296295295295296295295294294293293293294294295296296296296296296296297298298298298298298298298298297297297296296297999295295294999293294294294295294294294295295295295295296297298299298298298297297297296295295295296295295295295295295295295294294293293294294294294294294294294295295295295294295295295295295295295295295295295295296295296295295296295295295294294294294294294294294294294294294294295295295295295295295295295294294294295295295295296295295296296296296296296296296296296296296296296296296296296296295294294295295295295295295294294294294294294294294294294294294295296296296296296296295295294295295294295295295295295294294295294294294294295295295295295294293293293293293293293292292292292291291291291291291291291291291291291291291290291291290291290290290290290290290290290289289290290290290290290290289289289289289289288288287286286286285285285285285285284284284284284284284284284284284285285284284284284283283283283283283283283283283284285285285285285285285284284283283282283282282282282282282282282282282282282281281281281281281282281281281281281281281281281281281281281281280280280280279279279278278279278278278278278278279279279279279279279279278278278278277277277277277276276276276275275274274274274275275275275275275276276276275275275275275275275275275275275275275275275275275275275275275274274273272271271272273274273273271270269270270270270270270271271271271270270270270270270269269269268268268268268268268267267267267267267267267267267267267268268269270270271271271271270269269269269269269269270270270271272272272272272272272272272271271271270270270269269269269269268268268268268268268 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999277999277273277280280278269276278279279278278278276274271269268269270271272272273275278279280281282282282282281281281282283284285285286287287288289290290290291291291291291292293293294295295295295296295295295295294294294294294294295295297297297297296297297298299298298298298298298298298297297297296296999999999295294292293294295294295295295295295295295295296296297298298299298298297297297296296295296295295295295295295296295295295294294293294293294294294294294294294295295295295295295295295295296295295295295296296296296295296296295295295295294295295295295295294294294294294294294295295295295295295295295295295295295295295296296296296296296296296296296296296296296296296296296296296296296296296295295295295295295295295295294295294294294294294294294294295295295295296296296296296295295295295294294294294294294294294294294294294294294295295295295294294293293293293293292292292291291291291291291291291291291291291291290290290290290290290290290290290290290290290290290290289290290290290290290289290289289289289289288288287287286286286285285285284284285284284284284284284284284284284284285285284284283283283283283284283283284284283284284285285285285284285285285284283283283283283283283283283282282283282282282282281282282282281281282282282281281281281281281281281281281281281280280280280279279279278278278278278278278278278279279279279279279279279278278278278278277277277277277276276276276275275274274274275275275275276276276276276276276276276276276276275275275275275275275275275275275275275275275274274274274273273274274274273273271271270270270270270270271271271271270271270270270269269269269269269268269268268268268268267267267267267267267268268269270271271271271271272272272271271270270270270270270270270271272272272272272272272272272273272272271271271270270270270270269269268269268269269269 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999277274277280276999999999275275278277277277275274271269268268269271272273274277279281282283284284285284283282282283284285286286287288288289289290290291291291292292292293293294295295294295295295295295295295295295294294295295295296297298297297297297298298299299298298298298298298298298298297296296294999294295294293293294295294295295295295295295296296297297298298298299298297297297297297296296296296296296295295295295295296295295294295294294294294294294294293294294294295295295295295295295296295295295295296296296296296295295295295295295295295295295295295295295295294294294295295295296296295295295295295295295295295296296296296295295296296296296296296297296296296296296296296296296296296295295295295295295295296295295294294294295295294294294294294295295296296296296296296296296295295295295294294294294294294294294294294294294294295295295294294293293293293292292292292291291291291291291290290290290290291290290290290290290290290290290290290289289289289289289289289289289289289290289289289289289289289289289288288287287286285286285285285285285285284284285285285284284284284284284284284284284283283283283283284283284285285285285285286285285285285285285285284284284284284283283283283283283283283283282282282281282282282282282282282282281281282282281281281281281281281280280280280280279279279278278278279279278278279278279279279279279279279279279279279279278278278278277277277276276276276275275275275275275275276276276276276276276276276276276276275275275275276275275275275276276275276275275275275275274274274274274274274274274273272271271270271271271272271271271271271270270270270270269269269269269269268268268268268268268268268268268268269270271272272272272272272272272272272271271271270271270270270271271271272272272272272272272272272273273273273273272271270270270270269269269269269269269 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999275277277276999273271269268269269270272274276279281283284284285285286286286285284285285286287288289289290290291291292293293292293293293294294295295295295295296295295296295295295295295295296297297297298298298297297297298299299299298298298298298298299298298297297296295296296295295293293294294295295295295296296296296297297297298298298298298298297297297297296297296296296296296296296296295295296296296295295295294294295294294294294294294294295295295295295295295296295296295295296296296295295295295295294295295295296296296296295295294294294295295295296296296296295295295295295295296296296296296296296296296296296296296297297296296296296296296296296296296296296295295295295295295295295294294294295295294295295295295295295296296296296296296296295295295295295295295295294294294294294294294294294294294295295294293293293293293293292292292291291291291291291291291290290290290290290290290290290290290290290290290290289289289289289289289289289289289289289289289289289289289288289289289288287287286286285285285285285285285285285285285285285285284284284284284284284284284284284284284285285286285285285286286286285285285286286286285285284284284284283283283283283283283283282282282282281282282282282282282282281281282282281281282282282281281281281281281280280280279279279279279279278278279279279279279279279279279279279279278278278278278278278277277276276276276275275275275275275275276276276276276276276276276276276276276276276276276276276276276276276276276276276276276275275275275275275274274274274274274273273272272272272273272272271271271271271270270270270270270270270270269269269268268268268268268268268269270271272272272272272273273273273272272272272272272272272272271271272272272272272272272271272272272272272273273273273273272271271270270270269269269269270270 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999279276276275999999999269269270272274275276279282284285285286287287287287287287286287287288289289290290290291292293293293293294294294293294295295295295295295296296296296296296296296296296297298299298298298298298298299299299299298298298299299299299298297297297297297296295296296296295295295295295296296296297297297297297297298298299299299298298298297297297297297297296296296296296296296295296296296296296296296295295295294294294294294294294294294295295295295295296296296296296296296295295295295295294295295295296296297296296296295295295295295295296296296296296296296295295295296296296296296296296296296296296297297297297297296296296296296296296296296296296296295296295295296295295295294294294295295295295295294294295296296296296296296295295295295295295295295295294294294294294294294294294294294295295294294293293293293293292292292292291291291291290290291290290290290290290290289290290290290290290290290290289289289290290289289289289289289289289289289290289289289288288289289289288287286286286285285285285285285286286286286285285285285284284285285285286285285284285285285286286286286286286286286286286286286286286286287286286285285285284284284284284284283283284283283282282282282282282282282282282282282282282282282282282282282281281280281280280279279279279279279278278278279279279279279279279279279279279279278279279278278278278277277277277276276276276276275275275276276276276277276276276276276276276276276276276276276276276276276276277277277277277276276276276275275275275275275275275275275275275275274273273274273273272271272271271270271270270270270270270270270270269269269269269269269269269270271271272272272273273273273273273273273273273272272272272273273272272272272272272272272272272273273273273273273273273274274273273272271271270269269269269270270 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999276273273999270270271275278279280282284285286287287288287288289288288288288289289290289290291291292293293294293294294295295295295295295295295295295296296296296297297297297297297297298298298299299299299299299299298298298299299298298298298297297297297297297297296297297296296296296296296296297298297297297298297299299298299299298298298298298297298297298297297297296296296296296296296296296296296296296296295295295294294294294294294294295295294294295295295295296295295295296295295295295295295295296296297297297297296296296296296296296296296296297297297296296296295296296296296296296296296297296297297297297297297297296296296296296296296296296296296296296296295295295295295295294294295295295295296295295295295296296296296296296295295295295295295295295294294294294294294294294294294294295295294294293293292292292292292292292291291291291290290290290290290289289289290289289290289289289290290290289289289290290289289289289289289289289289289289289290290289289289288289288289288287287286286285285285286286286286286286286286286286286286286287287286286287287287287286287287287287286286286286286286286287287287287287287287286286286285285285284284284284283283284283283282283283282282282282282282282282282282282282282282282282282281281281281280280279279279279279279279279279279279279279279279279279279279279279278279279279279278278277277278277277276276276276276276276276276276276277276276276276276276276276276276276276276276276277276277277277277277277277276277276276276276276276275275275275276275275275275275274274274273273273272271271271271271271270271270271271270270270270269269269270270270271271272272272272273273273273273274274273274273274273273273273273273273273273272272272272272272272273273273273273272273273274273273273272271271270269269269269270270 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999271272268270272276279280282283285285287287286287287288288289289289289289289289289290291292293293294294294294294295295295296296295295295295296296296296297298298298298298298298298299299300300300300300299298299298298299299299298298298298297298298298298298298298298297297297297297297298298299298298298299299299299299299299299298298298298298298297298298297297297297297297297297297297297297297297297297296296295295295295294295294294295294294294294295295295295295295296295295295295295295295296296297297297297297297297297297297296297297296297297297297297296296296296296296296296296296296296296296297297297297297297296296296296296296296296296296296296296295296295295295295295294294294295296296296296296295296296296296296296296295295295295295295295294294294294294294294294294294294294295294294294293292292292292292292292292291291291290290290290290290290290289290290289290290290290290290290290290289290289289289289289289289289289289289289289289289289289289289288288288288288287287286286285286286286286286286286286286286286287287286287286287287287287287287288287287287287287286286286286286286286287287287287287287287287287287286286286285285284284284284284283283283283282283283283282282282282282281281282282282282282282282282281281281280280280280280280280280279279280280280279280280280280279279280279280279280280279279278278278278278277277277277276276276277276276276276276276276276276276276276276276276276276276276277277276276276277277277278277277277277277276276276276277276276276276276276276276276275275275274274273273272272271271271271271271271271271271271271271271270271271271271271271271272272273273273273273273274274273273273273273274273273273273273273273273273272272272272273273273273274273274273273274274274274273273272271270270269269270270270 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999272275268267270271273276280282283284285286287287287287287288288289289289289290290290291291292293294294294294294294294295295295295295295295295295295295295296297297298299298299298299299299300299299299298298297298298298298298298298297297297298298298298297298298298298298298298298298298298299299299299299299299299299299299300299299298298299298298298298298298297297297297297297297297297297297298297297297297297297296296295295295295295295295295295295295295295295295295295295295295295295295296296297297297297298298298298298298298298297297297297297297297297297297297296296296296296297297297297297296297297297297297297297297296297297297297297297296296296296296295295295295295295295295295295295296296296296296296296296296296296296296296296296295295295295294294294294294294294294294294294295294294294294293292292292292292292291291291291290290290290290290290290289289289289289289290290290290290289289289288289288289289289289288288288288288288288288288288288289288288287287288288288287286286285286286286286286286286286286286286287287287287287287287288288288287288287287287286286287287287287286287287287287288288287287287287287287287287287287287286285285284284284283283283283283283282282282282282282282282282283283283283283282282281281281281281281281281280280280280280280280280280280280280280280280280280280280280280280280279278278278278278278277278278277277277277277277277277277277277276276276276276276276276276276276276277277277277276277277277278278277278277277277276277277277276276276276276276276276276276276275274274274274273273272272271271271272271271271272272271272271271271271271270270270271272272272273273273273273273274274273274273273274273274274274273274274273273273273272273273274274274275275275275275274274274274274274273272271270270270270270270 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999277273275272272272272275278280283284284285286286287287288288288289290290289290290291291291292292293294294294294294295295295295296295295295295295295295295296297297298298299299299299299300300300299299298298297297298298298298298298298297297297298298298298298298298298298298298298298298298298298299299298298298298299299300299299299299299299298298297297297297297297297297298297297297297297297297298298298297297296297297296296296296296295295295295295295294294295295295295295295295295295295295296296296297297298298298298298298298298297298298297297297297297297297297296296296295295296296296296296296296296297297297297297296296296296297296296296296296296296296295295295295295295295295295295295295295295296296296296296296296296295296295295295295295295294294294294294293293293294294294294294294294293293293292292291291291291291291290290290290290290290290289289289289289289289289289290290290289289289289289289289289289288288288288288288288288287287287287287287288288287287287288288287287286286286286286286286286287287287287287287287287287288287288288288288288288288287287287287287287287287287287287287287288288287288288288288288287288288287287288287286286286285284284284283283283283282282282282282282282283283283283283283282282282282281282282282282282281281280280280280281281281281280281280281281281281281281281281281281280279278278278278278278278278278278278277277277277277277277276276276276276276276277276276276276276276276277277277277276277277278278278278278278278278277277277277277277277277277276276276276276275274274274274273273272272271271271271271271271272272272271272272272271271271270271271272272272273273273274274274274274274274274273274274274274275275275275274274273273274274275275275275275276276275275275275275275274274274273272271270270270270270 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287999999278276274274274276279281283284284285286286286287288288288289289289290291291292292292293293293294294294294294294295296296296295295295295295295295296297297298298299300300300300300299299299298298298298297297298298298298298298298298298298298299299299299299299299299299299299299299298299298299299299298299299299299300300299299299299299298298298297297297297297297297297297297298298298298298298298298298297297297297297296296296296296295295295295295295295295295295295295295295295295296296296296297297298298298298298298298298298298297298298298297297297297297296296296296295295295296296296296296296296296297297297296296296296296297297296296296296296296295295295295294295295295295294294294295295295295296296296296296296295296296295295295295295295295294294294293293293293294294294294294294293293293293292292291291291291291291290290290290290290289290289289289289289289289289290290289289289289289289289289289289289288288288288288288288287287287287287287287288288288287288288287287286286286286286286286286286287287287287287287287287288288287287288288288288288287286287287287287287287287287287287288287287287287287288288288288288287287287287287287287287287286285285284283283283283282282282282282282283284284284284284284283282282282282282282282282282282282282281282282282282283283282282282282282282281281281281281281281281279278278278278278278279279279279278278278278277277277277277277277276277277277277277277276276276276276276277277277277277277277277278278279279279279278278278277277277278277277276276276276276275275275274273273273272272272272272272271272272272272272272272272272272271271271272272272273273273274274274274274274274274274274274274275275276276276276275275275275275275275275276275275275275276275275275275275275274274274274273272270270270270270 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293999999999282281278277276275277280281282283284285286286287288288289289289289290290291292291292292293293294294294294295295294295295296296295295295295295295296296297298298299300300300300300299299298298298298298297298298298298298297297298298298298299299299300299299300300300300300300300300300300299299299300299298299299299299300300299299299298299298298298298297298298298298298298298298298298298298298298298298298297297297297297297297297297296295295295295295295295295295295295295295295295296296296297297297298298298299299298298298298298298298297297298297297297296296296296296296296296295295296296296296296296296296297296296296296296296296296296296296296296296296296295295295295295295295294294295295295295295295295296296296296296296296295295295295294295294294294294293293293294294294294294294293293293293293292292291291291291291291290290290290290290290289289289289289289289289290289289289289289289289289289288288288289288288287287287287287287287287287286287287288288287287287287287286286286286285286286286286287287287287287286287287287288288288288288288288288288287287287287287287287287287287287287287287287287287287287287287287288287288288288287287287287287287287286285284284283283283283283283283283284284284284284284284284283283282282282282282282283283283283283284284284284284284284284284284284283283282282282282282282281280279279279279279279279279279280279279279278278277277277277277276276276276276277277276276276276276276276276277277277276277277277278278279279279279279279279279279279279279278277277276276276276275275274273273273273273273273272272272272272272272272272273272272272272272272272272273273273273274274274274274274274274274274275276276276276276277277276276277276276276276276276276275275275275275275275275275275275275275274274274272271270270270 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284282279278278277279281282283284285286286287288288288289290290291291291291292292292293293294294294294295295295295295296296296295295295296296296297297297298298300300300300300299299299298298298298298298298298298298298298298298298298299299299300300300300300301300300301300300300301300300300300300300299299299300300300300299299299299298298298298298298298298298298298298298298298298298298298298298298298298297297297297297297297297297296296296296296296296296296295296296295296296296296296297297298298298299299299298298298298298298297297297297297297297296296296296296296296296295295295296296296296297296296296296296296296296296296296296296296296296296296296296295295295294295295294294295294295295295295295295295296296296296296295295295295294294294294294294294293293293294294294294294293293293292292292292291291291291291290290290289289289289289289289289289289289289289289289289289289289288288288288288288288288288288287287287287287287287287286286286287287287287287287287286286286285285285285285286286287287287287287287287288288288288288288288288288288288288287288288288287287287287287286287287287287287287287287287287287287287287287287288287287288288287287287286285284284283283283283283284284284285285285285284285285284283283283283283283283284284284285285285285285284284284284284284284284283283283282282282282281281279279278279278279279279279279280280280279278278277277278277277277277277277276277277277276276276276276276276276277278277277277277278278278279279280280280280280279279279279279279278277277276276276275275274274274274273273273273273273273273273273273273274273273273273273272272273273273274274274274274274274274274274274275276277277277277278277277277277278278278278277277277276276276275275275275275275275275275275275275274274273272271270271 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999278999999999282280280279279280282284285285286287287288288289290291291291291292292292292293293293294294294295295295295295295295296295296296295295296296296297298298299300300300300300299299299298298298298298298298298298298298298298298298298299299300300300300300301301301302301301301301301301301300301301300300300300300300300300301300300300299299298298298298298298298298298298298298298298298298298298298298298298298298297298298297297297297297296296296296296296296296296295295296296296296296297297297297298298298298299299298298298297297297297297297297297297297297296296296297296296296296295296296296296296296296296296296296296296296296296296296296296296296296296296296295295295295294295295295295294295295295295295295295295296296296295295295295294294294294294294294294293293293294294294294294293293292292292292292291291291291291291290290289289289289289289289290290289289289289289289289289289289289288288288288288288288288288288287287287287287287287287286287287287287287287287287286285285285285285285285286286286287287287287287287288287288288288288288289288288288288288288288288287287287287287287287286286286286286286286287287287287287287287287287287287288288288288287287286285284284283283284284284284284284284284284284284284284283283283283284284284284284285285285285285284284284284284284284284284284283283283282281281282280279279279279279279279280280280280280280280279278278278278277277277277277277277277277277277277277276276276276276277278278278278278278278278278279279280280280280280280279279279279278278277276277276276275275274274274274274274274274274275275274274274275275275275275275274273273273274274274274274274274274274274274275275276277278279278278278278278278278278279278278278277276277276275275275275275276276275275275275275275275275274273272271270 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285287280285999282281281280280282283285286287287287288289289290292292293293292293293293293294294294295295295295295295295296296296296296296296295296297298298298299299300300300300300300299299298298298298298299299299298298299299298298298298299299300300300300301301301301302301301301301301301301301301300301300300300300300300300300301301300300300299299298298298299298298299299299299299299299299298298298298298298298298298298298298298298297297297296296297297297297297296296296296296296296296296297297297298298298298298298299298298298297297297297297297297297297297297297297297297297296296296296296296296296296296296296296296296296296296296296296295296296296296296296296296295295295295295294295295295295295295295295295295295295295296296296296295295295295295294294294294294293293294293293294294293293292292292292292292291291291291291291290290290289289289289289289289290290289289289289290290290289289289289288288288288288288288288287287287287287286287287286287287287287287287287287287286286285285285285285286286286286287287287288287288287287287288288288288288289288288288288287287288287287287287287286286286286286286285285286286286286286286286286287287287287287287287287287287286285285284283283284284284283284284284284284284284284284284284284284284284284285285285285285285285285285284284284284284284284284284284283283282282282281279279279279280280280280280281281281280280280279279278278278278277277277277277277277277277277277277276276276276277278279278278278278278278278278279279280280280280280280279279279278278278277277276276275275275274274275275275275276276276277276276276277277277277277277276275274274274274274274274274274274274274275276277278278279278279278278278279279279279279278278278277276276276276276276276276276276276276276276276275275275275274273272270 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999280282283282282280280281283284286287287288289289289290291292293293293293293293293293294294294295295295295295296296296296296296296296295295296298298299299299300300301300300300299298298298298298298298298299298299299299299299299299299300300300301301301301301301301301301302301301301301301302302302301300301301301301301301301301301301300300300299299299299299299299299299299299299299299299299298298298299299299299298298298298298298298298297297297297297297297298297297297297297297297296297297297298298298298298298298298298298297297297297297297297297297297297297297297297297297297296296296296296296296296296296295296296296296296296297296296296296296296296296296296296295295295295295294295295295295295295295295295295295295296296296296295295295295295295294294294294294293293293293293294294293293292292292292292292292291291291290290290290290290290290289289289290290290290289290290290289290289289289289288288288288288288288288287287287287286286286286286287287287287286286287286286285285285285285285285285285285286286287287287287287287287287287287287287288287288288288287287287287287287286286286286286286286286286285285286286286286286286286286287287287287287287287287287287287286285284284284284283284284284284284284284284284285285284284284284284285285285285285285285285285285285285285285285284284284284284284283283283282282281280279280280280280281281281281281281281281280280279279278278278277277277277277277277277277277277277276277276277277278279279279279278278279279278279279280280280281281280280279280279279279278278277276276275274274275275275276276276276277277277277278277278277277277277276276275275274274274274273273274274275276277277278278279279279278279279279279279279278278277278278277277277277277277277277277277276277276276276276276276275275275275273271 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999282285285283282281281282284286287287288289289289290291292293294294293293293293293294294294295295295296296296296296296296296296296296296296297298298298299300300300300299299298298298298298298298298298298298298299299299298298298299299299299300300300301301300301301301300300301301302302302302302302302301301301301301301301301301301300300300300299299299299299299299299299299299299299300299299299298298298299299299299298298298298298298298298298298297297298298298298298297297297297297297297296297298298298298298298298298298298297297297297297297297297297297297297297297297297297297297297296296296296296296295295295296296296296296296297296295296296296296296296296296296295295295295295295294294295295295295295295295295295295296296296295295295295295295295294294294294293293293293293293294293293293292292292292292292291291291290290290290290289289289289289289289289289289289289290290290289289289289289288288288288288288288288288287287287286286286286286286286286286286286286286286285285285285285285284285285285285286286286286287286287287287287286287287287287287287287286287287287287286286286286286286286286286286286285286286286287287287287287287287288288288287287287288287287287286286285284284284284284284284284284284284284284285285285285285285285285285286285285285285285285285285285285284284284284284284284284284283283282282282281279280280280280281281281282281282281281281281280280279279278278278277277277277277277277277277277277277277277278278279279279279279279279279279280280280281281281281281280280280279279279278278277277275275274274275275275275276276276277277277278278278278278278278277277276275275275275274274274275275276277277278278278279279278279279279280279279279279278278278278278278278278278277278277277277277277277277277277277277276276275275275274272 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999282286285283283282282283284286287288288289290290291292293294294294294294294294294294295295295295296296296296296296297296296297297296296297297298298299299299300300300299299298298298298298298298298298298298299299299298298298298299299299299299300300300300300300300301300300301301302302302303303302302301301301301301301301301301301301300300300299299300299299299299299299299299299299299299299299298298298298299299299299298298298298298298298298298298298298298298298298297297297297297296296296297297297297297297297297298297297297297297297297297297297297297297297297296296297297297296296296296296296296296295295295295295296296296296296296295295296296296296296296296295295295294294295294294294294294295294295295295295295295295295295295295295295294294294294294294293293293293292293293293293293292292292291291291291291291290290290290290289289289289289289289289289289289289289289289289289289289289289288288288288288288288288288287287287286286286286286286286286286286286286286285285285285285285284285285285285286286286286286286286286286286287286286286286287287287286286286286286286286286286286286286286286286285286286286286286287287287287287287287288288288287287287287287287287287286285285284284284284284284284283283283283284285285285285285285285286285286285285285285285285285285285285285284284284284284284284284283283283282282281280280280280281281281282282282282282281281281281280280280279279278278278278277277277277277277277277277277278278279279279280280280280280280280280280281281281281281281281280280280279279279278277277275275275274275275275275275276276277277278278278278278278278278278277277276276276276277277277277277277278278278279279279279279279279279280279279279280279279279279278279278278278277277277277277277277277277277278277277277276276276276275274 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287285284283283284283283284286287288288289290291291293294294294294294295295295295295296296296296296297297296296297296297297297297296296297298298299300299299300300299298298298298298298298298298299299299299299299299299299298298299299299299299299299299299300300300300301301301301302302303303303303303302302302302302301301301301301301301301300300300300300299299299299299299299299299299299299299299298299299299299299299299298298298298297298298298298298298298298298297297297297297297296296297297297297297297297297297297297297297297297297297297297297297297297297297297297297297296296296296296296295295295295295295295295296296295296296295295295295295296296296295295295295295295294294294294294294294294294294295294295294295295295295295295295295294294294294294294293293292293292293293293293293292292291291291291291291290290290290290290290289289289289289289289289289289289289289289289289289289289289289288288288288288288288288287287287286286286286286286286286286286286285285285285285285285285285285285285285285286285285285285286286285286286286286285285286286286286286286286286286286286286285285285286285285286285286286286286286286286286287287287287287287287287287287287287287287286285285284284284284284284283283283283283284285285285285285285286286285286286285285285285285285285285285285284284284284284284284284283283283282282281281280281281282282282283283283283283282282281281281281280280280280279278278278277277277277277277277278278279279279280280280280281281281281281281281281281282281281281281280280280279279279278277277276276275275275275275275276276276277278278279279279279279279279279278278277276276277278278278278277278278278278279279279279279279279279279279280279279279279279279279279279278277277277276276276276277277278278278278278278277276276276276275 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291290288285285284284285285285286287288289289290290291293293294294294295295295295295296296296296296296296296296297296296296296297297297296297297298299299300300300300299298298298298297298298298298298298298299299300299300299298298299299299298298297297298298298299300300301300301301301302302302303303303302302302302302302301301301301301301301301301300300299300300299299300299299299299299299299299300299300300299299299299300299299298298298298298298298298298298298298298297297298297297297296296297297297297297297297297297297297297296297296297296296296297297297297297297297297297296296296296296296295295295295295295295295295296296295295295295295294295296296296295295295296295295295295294294294294295295294294295295295295295295295295295295295295294294294294294294294293293292292292292293293293292292292292291291291291291291290290290290290290289289289289289289289289289289289289289289289289289289289289289289288288288288288288288287286286286286286286286286286286286286285285284284284284284284285285285284284284284284285284284284284285285285285285285284285285285285285286286285285285286285286285285285285285285285285285285285285286286286286286287287287287287287287287287287287287287287286285285285284284284284284283283283283284285285285285285285286286286286285285285285285285285285285285285284284284284284284284284283283283282281281281281282282282282282282282282283283283282281281281282282281281281280279279278278278278277277278278279279279279280280281281281281281281282282281282282282282282282281281281280278278279279279278277277276276275275275276276276276277277278279279279279279280279279279279278278278279278279279279278277277278278278279278279279278279279280280280280280280279279279279279279278278277277276276276276276277277278278278278278278278277277277276276 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289287285284284285286286287287288290290290291291292293294294294295295295296296296296297297297297297297297297297297297297296297297297297298298298299300300299299299298298297298298298298298298298298298299299300300300299299298298299298298297297296295296297298298299299300300300300301301301302302301302302302302302302302302301300301301301301301300300300300300300300300299299299299299299299299299299299300300299299299300299299299298298298298298298298298298298298297297297297297297297296296296296296297297297297297297297297297296296296296296296296296296296296296296296296296296296296296296296296295295295295295295295295295296295295295295295295295295295295295295295295296296295295295295295295295295295294294295295295295295295295295295295295295294294294294294294294293293292292292292293293293292292291291291291291291291290290290290289290290289289289289289289289289289289289289289289289289289289289289289289288288288288288288287287287286286286286286286286286286286285285284284284284284284284285285284284284284284284284284283283283284284284284284284284284285285285286285285285285285286285285285285285285285285285285285285285285286286286286286287287287287287287287287287287287287287287286286285285285284284284284283283283283283284285285285285285286286286286286285285285285285285285285285285285284284284284284284284283283282282282281281282282282281281281281282282282282283282282281282282282282282282281280280279279278278278278279279280280280280281281282282282282282282282282282282282282282282282282281280279278278278279279278277277276276276275276276276276276276277278279279279279280279279279279279279279279279279279279279278278278278278278278278279279279279280280279280280280280280279279279279278278277277277276276276276276276277278278278278278278277277277277276276 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288286284284286287287287288288289290291291291292292293295295295295295296296297297297297297298298298297298298297297297297297297298298298298299299300300300299299298298298298298298298299298299299298299299300300300300300299299300299298297296295296294296298299299299299300300300301301301301301302302302302303302302302302302302301301301301301301301300300300300300300300300300299299299299299299299300300299300300300299299299299299298298298298298298298298298297297297297297297297297297296296296296297297297296297297297297296296296296296296296296296297296297296296296296296296296296296296296295296296296295295295295294295295296295295295295295295295295295295295295295295295296295295295295295295295295295295295295296295295295295294294294294294294294294294294294294294293293292292292292292293293292292291291290290290290291290290290290290290289289289289289289289289289289289289289289289289289289289289289289289288288288288288288287287287287286286286286286285286286286285285284284284284284284284284284284285284285284284284284284283283284284284284284284285285285285286285285285285285285285285285285285285285285285285285284285285285285286286286286286287287287287287287287287287287287287287287286286285285285284284284284283283283283284285285285285286286286286286286286285285285285285285285285285285285284284284284284284283283282282282282282282282281281281281281281282282282282282282282282282282282282282281281280279279279279279280280281281281281282282283283283283283283283282282282282283283283282282282281280279278278277278278278278277277277276276276277276276276276277278279279280280280280280279279279279279280280280280280280279279279279279278278278279279280280280280280280280280280280280280280279278277277277277277277277277277277277278278278278278278277277277277277276 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287286285286287288289289289289290290291292292292293294295296296296296296296297297297297298298298298298298298297297297298298298299298299299299299300299299299299298298298298298299299298298299298298299299300299300301300299298299298296295999999297298299299299300300301301301301301301301301302302302302302302302301301301302301301301301301301301301301300300300299300300300300300300299299299300300300300300300300300300300299300299299298298298298298298298297297297297297297297297297296296296296297296297297297297297297296296296296296296296296297297297297297297297297297297297297296296296295295295296296296295295295295295295295296296295295295295295295295295295295295295295296296295295295295295295295295295295296296295295294294294294294293293294294294294294294294294293293292292292292292293293293292291291290290290290291290290290290290289289289289289289289289289289289289290290290290289289289289289289289288288288288288288287287287286286286286286286286286285285285285284284284284284284284284284284284285285284284284284284284284284284284284284285285285285286286285285285285285285285285285285285285285285285285285285285285285285285286286286286286286286286286286286286286286286287287287287286286285285285285285284284284283283284284285285285285286286286286286286286285285285285285285286285285285285285284284284284283283282282282283283282282281281281280281281281281281281282282282282282282282282282282281280280280280280280281281281282282283283283283284284284283283283283283282282282282283283282282281280279278278278277278279278278278277277276276276277276276276276277277278279279280280280280279279279279279280280280280279279279279279279279279279279280280280280280280281281280281280280280280279278278278278278278278277277277277277277278278278278278278278278277277277277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293999999292290287288288288287289290290290291291291291292293293293294294295295296296297297297297297298298298298298298298298298298298298299299299299299299299299298298298298299298298298298299299299299299299299299299300300301301301300299299299296293999295298300301300300300301301301301301301301300301301301301301301301301301301301302302302301301301301301301301300300300300300300299300300300299299299299299300300300300300300300300300300300299299298299298298298298298297297297297297297297297296296296296296296296297297297297297296296296296296296296296296296296296297297297297297297297296296296297296296295295295296295295295296296295295296296296295295295295295295295295295295295295295295295295295295295295296295295295295295295294294293293293293293293293293293293294294294294294294293293292292292292293293292292291290290290290290290290290290290290290289289289289289289289289289289289290290290289289289289289289289289288288288288288287287287287286286286286286286286285286285285285285284284284284284284284284284284285285285285285285284284284285285285285285285285285285285285285285285285285285285285285285285285285285285285285285285285286286286286286286286286286286286286286286286286286286286286287287286286286285285285285285284284284283283284285285285285286286286286286286286285285285286285285286285285285285285284284284283283282282282283283282282281281281280280280280280280280281281282282282282282282282282281281280280280281281281282282282283283284284284284284284284284284283283283282282282282282283283282280279279278278278278278278279278278277277277276276277276276276276277277277278279280280280280280280280280280280280280280280279279279279279279279279279279280280280280281280281280281280280280280279278278278278277278277277277277277277277278277278278278278278278278277277277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294999292292290289289288288289290291291292292292292292293294294294294295295296296297297297297297298298298298298299299299299299299300300300300300300299299298298298298298298298298298299299299299298299299299299299299300300301301301301299300299297295297298300301301301302302301301301302301301301301301301301301301301301301301301301302302302301301301301301301300300300299299299299300299300300299299299299299299299299299300300299299300300299299299298298298298297297297297297297297296296297297296296296296296296296297296297296296296296296296296296296296296296296296296296296297297297297297296296297296296295295295295295295295295295295295296296296295295295295295295295295295295295295295295295295295295295295295295295295295295294294294293293293293293293293293293294294294294294294294294293292292292293293293292292291290290290290290290290290290290289289289289289289289289289289289289289289289289289289289289289289289289288288288288288288287287287287287287286286286286286286286285285284284284284284284284284284284285285285285285285285285285285285285285285285285285285285285285285285285285285285285285285285285285286286285285285285285286286286286286286286286286286286286286286286286286286286286286287287286286286286285285285285285284284283284284285285285285286286286286286286286286286286286286285286285285285285285284284283283282282283283283283283282282281281281281281280280280281281281281282282281282282282281281280281281281282282283283284284284284284284284284284284284284284284283283283282282282283283282281280279279278278278278278278279278278278277277277276277276277276276276276276277277278280280280280280280280280280280280280279279279279279280280279279279279280280280280281280280281281280280280280280279278278278278278278278278278278277278278278278278278278277277277277277277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291291292291291290289289289289290291292293293293292292293294294294295295295295296296297297297297297297298298299299299299299300300301301301301300300300299299298298297297298298298298299299299299299299299299299299300299300300301301301301300299299298299301301302301302302302302302301302302301301302301301301301301301300301301301301301301302302301301301301301301300300300300299299299299299300299299299299299299299299299299299300299299300300299298298298298298297297297297297297297297296296297297296296296296296296296296296297296296296296296296296296296296296296296296296296296296297297297297296296296296296295295295295295295295295295295295294295295295294295295295295295295295295294294294295295294295295295295295295295295295295294294294293293293293293293293293293294294294294294294294294293292293292293293292292291290290290289290290290290290290290289289289289289289289289289289289289289289289289289288288288288289288288288288288288288288288288287287287287287288287287287286286286285285284284284284284284284284285285285285285285286286285285286286286285285285285285285285285285285285285285285285285285285285285286286286286285285285285285286286286286286286286286286286286286286286286286286286286286287287286286286286285285285285285284284284284284284285285285286286286286286286286286286286286286286286286286285285285284283283283282283283283283283282282281281281281281281281280280281281281281281281282282282281281281281281281282283283284284284285285285285285285285285285284284284283283283283283283283283282281279279279279278278278278278278279278278278278277277276276276276276276276276276277278279279279279280280280280280280280280279279279279279279279280280279279279280280280280281282281281281281280280280279279279279278278278278278278278278278278278278278278278277277277277277277277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288290290292293292291290290290290291292293293293293294294294294295295296296296297296297297297297297297298298299299300300300300301301301301301301301300299299298297297297298298297298298299299299299298298299299299299299300300300301300300300300299299301301302303302301302302302302302302301301301301301301301301301301301300301301301301301301302302302301301301301300300300300299299299299299299299299299299299299299299299300300299300300299299299299298298298298298298297297297297297297297296296297296296296296296296296296296296296296296296296296296296296296296296296296296296296296296296297296296297296296296296295295295295295295295295294294294294294293294294295295295295295295295294294294295295295295295295295295295295295295295295294294294294293293293293293293293294294294294294294294294294293293293293293293292292291290290290290290290289289290290290290289289289289289289289289289289289289289289289289289288288288288288288288288288288288288288288287287287287287287287287287287287287286285285284285284284284284284284285285285286286285285285285286286285285285285285285285285285286285285285285285285285285285286286286286286286285285285286286286286286286286286286286286286286286286286286286286286287287287287286286286286286285285285285284284284284284284285285285286286286286286286286286286286286286286286286286285285285284283283283283283283283283282282282281281281281281281281280280280281281281282282282282282281281282282282282283283284285285285285285285285285285285285285285284284283283283283283283283282281279279278279278278278278278278278278278278278278277277276276276276276276276276277278279280279280279280281281280280280280280280279279279279280279280280280279280280280280280281281281281281281280280280279279279279278278278278278278278277278278278278278278277277277277277277277276 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290289289290291293293292291290291291292293293293294294294294294295295296296297297298298298298298298298298298299300300300300301301301302302302301301300300299298298297297297297297297298299299298298299298299299299299300300300299300301301301301300999298301301302303302302302302302302302301301301301301301301301302301301301301301301301301301301302302302301301301301300300299299299299299299299298299299298298298298299299299299299299299299299299299299298298298297297297297297297297297296296296296296296296296296296296296296296296296296296296296296296296296296296296296296296296296296296296296296296296296296296295295295295294294295295295294293292292293293293294294294295295295295294294294295295295295294295295295295295295294294294294294294294293293293293293293293293293294294294294294294294294293292292293293292292291291290290290290290289289289289289289289289289289289289289289289289289289289289289289289289288288288288288288287287287287287287287287287287287286287287287287287287287287287287286285285285285285285284285285285286286286286285285285285286285285285285285285285285285286285285285285285285285285285286286286286286286286286286286286286286286286286286286286286286286286286287286286287287287287286286286286286286286285285285284284284284285285285285285286286286286286286286286286286286286286286286286286286286285284284283283283283283283283282282282281281281281281281280280280281281281281282282282282281281281282282282282283284285285285285285285285285285285285285285284284283283283283283283283282281279279279278278278278278278278278278279279278278278277277277277277276277277276277279280281281280280280280280280280280280280280280279279279279279280280280280280280280280280280281281281281281281281281280280280279279279279279279278278278278278278278278278278277277277277277276277277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286289289289289292293292291291291291292292293293293293294295295295296296296296297297298298298298298298298298299300300301300301301301302302301302302301300299298298297297297297297298298299299299299299298299299299300300300301301301301301301301301300999999301302302302302302302302302302302301301301301301301301301302302301301301301301301301301301301301302301301300300300300299299299299299299298298298298298298298298298299299299299299299299298298299299298298298298297297297297297296297296296296296296296296296296296296296296296296296296296296295295295295295295296296296296296296296296296296296296296296296296296296295295295294295295295295294293291290292293293293294294294295294294294294294295295295295295295295295295294294294294294294294294294293293293293293293293293293294294294294294294294294293293293293293292292291291290290290289289289289289289289289289290289289289289289289289289289289289289289289289289288288288288288287288287287287287287287287287286286287287287287287287287287287287287287286286286286286286286286286286286286286286286285286286285285285285285285285285285286285285285285285285285285286286286286286286286286286286286286286286286286286286286286286286286286286286286286286287287287286286286286286286286286286285285285285285285286286286286286286286286286286286286286286286286286286286286286286286286285285284283283283283283283283282282281281281281281281281281280281281281281281282281281281281281282282282282283284285285285285285285285285285285285285285284284283283283283283282283282282280279279279278278278278278277278278278278278278278278278277277277277277277277277279281281282282282281281281280280280280280280280280280280279279280280280281281281280280280280280280280281281281281281281281280280280280279279279279279278278278278278278278277277277277277277277277277277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289290290290290291292292292292292292292293293293293293294295295296296296296297297297297298299299299299299300301301301302301301301302302302302302301300300299298298298298298297297298298299298299299299299299300300300301301301301301301301301301301301301301302302302302302302302302302302302302301301300301301302302302301301301301301301301300301301301301301300300300300300299299299298298298298298298298298298298298298298298298299299298298299298298299299298298298298297297297297297296296297296296296296296296296296296296296296296296296295295295295295295295296296296296296296296296296296296296296296296296296296296296296296295294295295296296295293293290292293293293294294294294295295294295295295295295295295295295295295295294294294294294294294294293293293293293293293294294294294294294294294294294293293293293293292292291291290290290289289289289289289289290290290289289289289289289289289289289289289289289289289289289289288288287288288287287287287287287286287286287287287287288288287288287287287287286287287286286286286286286286286286286286286286286285285285285285285285285285286285285285286285286286286286286286286286286286286286286286286286286286286286286286286286286286286286286286286286286286286286286286286286286286286285285285285285285285285285286286286286286286286286286286286286286286286286286286286286286286286286285284283283283283282283283282282282282281281281281281281281281281281281281282282281281281282282282283283284285285285285285286286285285285285285284284284284283283283283283282283282281280279279278278278278278278278278278278278278278278278278278278278278277277278279281281282282283283283282282281280280280280280280280279280280280280281281281281282281280280280280280280280281281281281281281281281281280280280279280278278278278278278278278277277277277277277277277277277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292292293291291291292292292292292292293293293292293293294295295296296296296296297297298298299299299299300300301301301302302302302302302302303303302301300299299298298298298298297298298298298298298299299299300300300301301300301301302301301301301301301302302302302302302302302302302302302302302301300301301302302302302302301301301300300300300300301301301301300300300300299299299298298299298298298298298298298298298298298298298298298298298299298298298298298298298297297297297297296296296296296296296296296296296295295295295296296295295295295295295295295295295296296296296296296296296296296296296296296296296296296296296296296295295296296296296294293292292292292292293294294295295295295295295295295295295295295295295295294295294294294294294294293293293293293293293293293293293293294294294294294294293293293292293293292291290290290289289289289289289289289289289289289289289289289289289289289289289289289289289289289289288288288288288288288287287287287287287287287287287288288288288288288288287287287287287287287286286286286286286286286286286286286285285285285285284285285285285285285285285286286286286286286286286286286286286286286286287287287286286286286286286286286286286286286286286286286286286286286286286286286285285285285285285285285285285285285285285285286286286286286286286286286287287286287287287287286286286286286286285284284283283283283282283282282282282282281282281281281281281281281281281281281281281282282283283285285285286286286286286286286285285284284284284284284283283283283283282282281281280280279279278278278278278278278278278278278278278278278278278278278278278279280281282282283283283283283283282281281280280280280280281280280281281281281281281281281281280280280280280281281281281281281281281281281281281281281281280279279278278278278278278278278278277277277277277277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292292290289290291292292292293294292293292292293294295295296296297296297297298298299299299300300300300301301301301301302302302302302303302302300300299299298298298298298298298298298299298298298299299300300300300300300301301302302302300299299301302302302302302302302302302302302302302302302301301301302302301302301301301301300300300300300300301301300300299299299299299299299298298298298298298298297297298298297298298298298298298298298298298297298298298297297297297297296296296296296296296296296296296295295295295295295295295295295295295295295295295295295296296296296296296296296296296296296296296296296296296296296296296295295296296296296294293292292293293292293294295295295295295295295295295295295295295295295295294294294294294294294294293293293293293294293293293293293293293293294294294294293293293292292292292291291290290290290289289289289289289289289289289289289289289289289289289289289289289289289289289289289289288288288288288287287287287287287287287287287287288288288288287287287287287287287287286287287286286286286286286286286286286285285285285285285285285285285285285285285286286286286286286286286286286286286286286287287287287287286286286286286286285285285286286286286286286286286286286286286286286285285285285285285285285285285285285285286286286286286286286286286286286287287286287287287287286286286286286286285285284283283283283283282282282283282282282282282282282281281281281281281281281282282282283284285285286286287287286286286286285285284284284284284284283283283283283282282281281281281281280279279278278278278278278278278278278278278278278278278278278278279280281282282283283284284284284283283283282281281280281281281281281281281281281281281281281281281280280280280281281281281281281281281281282281281281282281281281280280280280279279278278278278278278277278277278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293294293292292292292292292293293293293293292293294294295296296297297297297298299299300300300300301301301301301301302302302302302302302302303301299299299298298298298297297298298298298298298298298299299300300300301300300300301302302302301300301302302302302302301302302302302302302302302302301301301301301301301301301301300300300300300300300300300300300299299299299299299299299298298298298298297297297297297297297297297297298298298298298298298297297298298297297297297296296296296296296296296296296295295295295295295295295295295295295295295294294294295295295296296296296296296296296296296296296296296295295295296296296296296296295296296296295294293292292293293293294295295295295295295295295295295295295295295295295295294294294294294294294293294293293293293293293293293293293293293293293293294293293293292292292292292291291291290290289289289288289289289289289289289289289289289289289289289289289289289289289289289289288288288288288288287287287287287287287286287287287287287287288288288287288287287287287287287286286286286286286286286286286285285285285285285285285285285285285285285285285285286286286286286286286286286286286286287287287287287287287287286286286286286285285285285285285286286286286286286286286285285285285285285285284285285285285285285286286286286286286286286286286286286286287286287287287286286286286286286286286285284284283283283283283282282283283283283283283283283283283282282282282282282282283283284285286286286286287286286286286285285284284284284284284283283283283283283282282281281281281281281280280279279278278278278278278278278278278278278278278278279279280281282282283283284284284284284284284284283283282282281281281281281281281282282282282281282281281281281281280281281281281281281281281281281281282281282282282281281281281281280280279279279278278278277278278278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293294293293292292292292292293293293293292292293294295295296297297297297298299300300301300301300301301300301301301302302302302302302302303301299299299299298298297298297297298297298299299298299298299300300300301301300300300300301301301302302302302302302302302301302302302302302302302302302302301301301301301301301301300300300300300300300300300300300299299299299298298299298298298298297297297297297297297297297297297297297297297297297297298297297297297298297297297297296296296296296296296296295295295295295295295295294295295295294294294294293293294294295295295295295295295295295295295296296296296295295295295296295296296296296296296296296295294293292292294294294295295295295295295295295296295295295295295295295295294294294294294294294294294294293293293293293293293293293293293293293293293293293293292292292292291291291291291290289289289289288288289289289289289289289289289289289289289289289289289289289289289289289289288288288288288288288287287286286286286287287287287287287287288288288288288288287287287287287287287286286286286286286286285286285285285285285285285285285285285285285285285286286286286286286286286286286286287287287287287287287287286286286286286286285285285285285285285286285285286286286286285285285285285285285285285285285285285286286286286286286286286287286286286286286287287287287286286286286286286286286286285284283283283283283283283283283283283283283283283284284283283283283283283284284284285285286286286286286287286286285285285285284284284284284284283283283283282283282281281281281281282281281281281280279279279279279278278278278278278278278279279279280280281282282283284284285285285285285284284284284283283282282282282282282282282282282282282282282281281281281280281281280281281281281281281281282281282282282282282281281281281281280280279279278279278279279279279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290292293294293293292292292292292293293293292292292293295296296297297298298299300301300300301300301300301301301301301301301302301301302302301300300299299298298298297297298297297298297298298298298299299300300300300301300300299298298300301301301302302302302302302302301302301302302302302302302302302301301301301301301301300301300300300300300300300299299299299299299298298298298298298298297297297297297297297297297297297297297297297297297297297297297297296297298298297297296296296296296296296296295295295295295295295295295294294294294294294293293292292293294294295295295295295295295295295295296296296296295295295295296295296296297296296296296295295294294293294294295295295295295295295295296296296295295295295295295295295294294294294294294294294294294293294293294294293293293293293294293293293293293293292292292292291291291290290290290289289289288288288289289289289289289289289289289289289289289289289289289289289289289289288288288288288288288287287287286286286286287287287287287287287287287287288288287287287287287287287287287286286286286286286285285285285285285285285285285285285285285285285285285286286286286286286286286286287287287287287287287287287287286286286286285285285285285285285285285285285285285285285285285285285285285285285285285285285285285285286286286286286286287287287286286286286286286286286286286286286286286286286286284284283283283283283283283283283283283283284284284284284284284284284284285285285286286286286286286286286286285285285284285285285284284284284284283283283283283282282281281281282282282282282282281281281280280279279279278278278279279279279279280280281281282283284284285286286286285285285285285284284284283282282282282282283283283283283283283283282282281281281281280280281281281281281281282282283282282282282282281281281281281280280280280280280280279279280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293292292292292292292292292293292293293292292292292293294295296297297297298299299300300300301301300300300301301301301300301301301301300300300300299299299298297297297297298297297297297298298299299299300299300300300301301301300299296297299300300301302302302302302302302302301301301301301301301302301301301301301301301301301301300300300300300300300299299299299299299298298298298298298298298297297297297297297297297297297297297296297297297297297297297297297296297297298298297297296296296296296295295295295295295295295294294294294294294294294293293293293292292293294295295295295295295295295295295296296296296296295295295296296296296296296296296296295295294294293294294295295295295295295295295295295295295295295295295294294294294294294294294294294294293293293293294294294293293293293293293293293293293293292292292292291291291291290290290291290289288288289289289289289289289289289289289289289289289289289289289289289289289288288288288288288288288288288287287287286287286286287287287287287287287288288288288287287287287287287287287287286286286286286286285285285285285285285285285285285285285286285285285286286286286286286286286286287287286287287287287287287287287287286286286286285285285285285285285285285285285285285284284284284284285285285285285285285285285285285286286286286286287287287287287286286286286286286286286286286286286286286286286285284284284283284284283283283283283283284284284284284284285285285285285285286286286286286286286286286286285285285284284285285285285284284284284284283283283282282281281282282282282283283283283282282282282281280280279279279279279279279279280280281281282282283284285286286286286286286285285285285284284284283282282282283283283283283283283283283283282281281281281281282281281281281281281282282282282282282282281281281281281281280280280280280281280280281281282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290290290292292291292292292291292292292292291292292293293294295296297297297298299299300299300299300299299300300300300301301301300299299298298299298298298298297297297297297297297297297298298298298299299300300300301301301301300299297999298299300301301302301302302302302302302301301301301301301301301301301301301301301301301300300300300300300300300299299299299299298298298298298298298298298297297297297296296297296296296296296296296297297297297297297297297297296296297298298298297297296296296296296295295295295294295295295294294294294294294293293293293294294294294294294295295295295295295295295295296296296296296296296295295296295296296296296296295295295294295295295294295295295295295295296295295295295295295295294294294294294294294294293293294293294294294294294294294294294293293294294294293293293293293292292292292291291291291290290290291290289289289289289289289289289289289289288288289289288288288289289289289289289289289288288288288288288288288288288288287287287287287287287287287287287287288288288287287287287287287287287287287286286286286286286286285285285285284285284285285285285285286285285285285286286286286286286286286287286286287287286287287287287286287287286286286285285285285285285285285285285285285285285285285285285285285285285285285285285285286286286286286287286287287286287287287287287287287286286286286286286286286286286286285284284284283284284284283283283284284284285285285285285285285285286286286286286287286286286286286286285285285285285284284284284284284284284284283283283283282282281282282282282282283283284283283283283283282282281281280279279279279279280280281281282282283284285285286286286286286286286286285285285284284284283283282283283283283283283283283283283283282281281281281281281282282281281281281281282282282282282282282282281281281280281281281281281281282282282283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290291291291291291292292292292291291291291291291292292292293295296296297297298298299299299298299299298299299298299300299299299298298298298298298298298298297297296296297297297297297297297298298298299299300300301301300300301301300298297297299299999300301301301302301301302302302301301302301301301301301300301301301301301301300300300300300300299299299299299299298298298298298298297297297297297297297297297296296296296296296296296296296297297297297297297297297297296296297298298297297297296296296296296295295295295295294294294294294294294294294293293293293294294294294294294294295295295295295295295296296296296296296296296295295295295295295295295295295295294293293294295294294294295295295295295295295295295294294294294294294294294294294294294294293293294293294293294294294294294294294293294294294293293293293292292291291290291291290290290290290290289289289289289289289290289289289289288288288288288288288288289289289289289289289288288288288288288288288288288288287287287287287287286287287287286287287288287287287287287287287287287287286286286286286286286286285285285285284285285285285285285285286286286286286286286286286286286286286286286286286286286287286286287287287287286286286286286286286286286286286285285285285285285285285285285285285285285286286286286286286286286286286286286287287287287287287287287287287286286286286286286286286286286285285284284284284284284284284283284284284285285285285285285286286286286286286286287287286286286286286286285285285284284284284284284284284284284284283283283282282282282282282282282283283283284284284284284283283283282282282281280279280280280280281282282283284285285286286286286286286286286286285285285285284284283283283283283284284284284284284283283283282281282281281281281281281281281281281282282282282282282282282282282282281281281281281282282282283283283284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999282284999290999289291291291291291291291291291290290290291291291291291292294295296296298297298299299298298298298299298298298297298298298299298298298298298297298298298297297296296296297297297297297297298298298298299299299300301300300300300300300298297297298999999299300301301301301301302301302301301301301301301301301300300300300300300300300300300299299299299298298298298298298298298298298297297297297297297297297296296296296296296296296296296296297297296297297296297297297297296296297297298298298298297297296296295295295295295294294294294294294294294294294293293293293293294294294294294294294294295295295295295296296296296296297296296295295295295295295295295295294294293293292291293294294294294294295295295295295295294294294294294294294294294293294294293293293293293293293294294294294294294294293293293293293293293292292291291291291290291290290290290290290290290289289289289289289289289289289289288288288288288288288288288288288289289289289289289288288287288288288288288287288288288287287287287287287286286287287288288287287287287287287287287287286286286286286285285285285285285285285285285285285285285285286286286286286286286286286286286286286286286286286286286287287287287287287287287286286286286286286286286286286286286286286286286285285285285285285285285285286286286286286286286286286286286287287287287287287287287287287286286286286286286286286286285285284284284284284284284284284284284284284284285285286286286286286286286286286287287286286286286286285285285285284284284284284284284284284284284284283283283282282282282282281282282283283284284285285285285284284284283283283282282281281281281282283282283284285285286286286286286286286286286286286286286285285284284284283283284284284284284284284284283283283282282282281281281281281281281281281282281282281282282282282282282282282282282282282282282283283283283284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285284284287999286289288289290290290290290289290290290291291291291291292294295296296297298299299299298297297297297297297296296296297297298297298297297297297297297297297296296296296296297297297297297298298298299299299299300301300300300300300300299297999999999999299301301301301301301301301302301301301301301301301300300300300300299299299299299299299299299299298298298298298297297297298298297297297297297297297296296296296296296296296296296296296297297296296296296296297297297297296297297297297298298298298296296295295295295295294294294294294294294294294294294293293293293293293294294294294294294294294294295295295296296296296296296296296295295295295295295295294293292292292292289292294294294294294294294295295295294294294294294294293293293294293293294293293293293293293293294294294294294294294293293294294293293292292292291291291291291291291290290290290290290290290289289289289289290289289289289288288288288288288288288288288288288289288288289288288288288287287287288288287288288287287287287287287287286287287288288288287287287287287287287288287286286285285286285285285285285285285285285285285285285285286286286286286286286286286286286286286286286286286287287287286286287287287287287287286287286286286286286286286286286286286286286286286286286286286285285286286286286286286286286286286286286286286287287287287287287287287287286286286286286286286286286285285284284284284284284284284284284284284284285285286286286286286287287287287287287287287286286286285285285285284284284284284284284284283283284284284283283283282282282281281282282282283283284285285285285285285285285284284284284283283283282282283283283284285286286286287287286286286286286286286286286286285285285284284283284284284284284284284284284284284284283282282282282281281281281281281282282281281281282282282282282282282282282282282282282283283283283284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283284284288289289289290289289289288289289289289290290290291293294295295297297298299299298297295295296296296295295295295296296296296296296295295295296296296296296296296296296297297297297298298298299299299299299300300300300300300300300299297999999298299299300300301301301301302301301301301300301301301300300300300300300300299299299298298298298298298298298297298298297297297298298298297297297297297297296296296296296296296296296296296296296296296296296296296297297297297297297298297298298297298298297296296295295295295295294294294294294294294294294293293293293293293293294294294294294294294294294295296296296297296296296296296296295295295295295295294293293292291292291290292294294294294294294294294294294294294294294294293293293294294294293293293293293293293293293294294294294294294294294293294293293293292292292291291291291291291291291290290290290291290290290290289289289290290289289289288288288288288288288288288288288288288288289289288288288288288288287287288288287287288287287287287287287287287287288288288287287287287287287288287286286285285285285285285285285285285285285285285285285285285285286286286286286286286286286286286286286286286286286286286286286286287287287287287286287286287286286286286286286287287287287286286286286286286286286286286286286286286286286286287286286286286286287287287287287287287287287287286286286286286286286286285285284284284284284284284284284284284284284285285286286286287287287287287287287287287287286286285285285285285284284284284284283284283283283284284284284283283283282282282281281282282283284284285285286286286286286285285285285285284284284284284284284284285286286287287287287287287287287287286286286286286286285285285284284284284284284284284284284284284284284283283282282282282282281281281281281281281281281281281281282282282282282283283282283283284284283284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292999284284285287289289289289289288288288288288288288288288289290292293294295296296298297297297296295295295295295294294294294295295295295295295295295295295296296296296296296296296296297297297298298298299299299299299299299299299299300300300299296999999299299299300300300300301301301301301301301301300301300300300300300300300299300299299298298298298298298298297297297297297297298297297297297297297297297297297297296296296296296296296296296296296296296296296295296296297297297297297298298298298298298298298298297296296295295295295294294294294294294294294293293293293293293293293293294294294294294294294294295296296296296296296296296297296295295295295294295294293293292292292292293293294294294294294294294294294294294293294293294294293293293293293293293293293293293293293293293294294294294294294294294294294293293293292292291291291291291291291291290291290290290290290290290290290289290290289289289289288288288288287287288288288288288288288288288288288288288288288287287287287287287288288287287287287287287288288287288288287287287287287287287287286285285285285285285285285285285285285285285285285285285285285286286286286286286286286286286285286286286286286286286286286286286286287287287287286286287287287286286286286287287287287287287287287287287286286286286286286286286286286286286287287287287287287287287287287287287287287287287287286286286286286286286285285284284284284284284284284284284284284285285286286287287287287287287287287287287287286286285285285285285284284284284283283283283283283284284284284284283283283282282282282281282282283284285285286286286286286286286286286286285285285285285285285285286286286287287287287287287287287286286286286286286285285285285285285285284284284284284284284284284284284284284283282282282282282281281281281282282282281282281281282282282282282283283283283283283284284284284284285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292999286287288289289288288288288288288288288288288287288288290292294295295295296297296297296295295295294294294294294294294294295295295295295295295295295296296296297296296297297297297297298299299299299299300299299299299298299300300300299297295999301299299299299300300300300300300301301300300301301300300300300300299299299299299299299298298298298297297297297297297297297297297297297297297297297296297297297297296296296296296296296296295296296296296296295295296296297297297297298298298297298297297297298298298297297295295295295295294294294294294294294293294293293293293293293293293293293293294294294294295296296296296296296296296296296295295295294294294294294293293292293293294293293293294294294294294294293293293293293293293293294294293293293293293293293293293293293293293294293294294294294294294294294293293293293292292291291291291291291290290290291290291291290290290290289290290289289289289289289288288288287287288287288288288288288288288288288288288288288288287287287287287287288288287287287287288288288288288287287287287287287287287287286286285285285285285285285285285285285285285285285285285285285286286286286286286286286286286285286286286286286286286286286286286286287287287287287287287287286286286286286286286287287287287287287287287286286286286286286286286286287287287287287287287287287287287287287287287287287287286287286286286286286286285285285285285285285285285285284284284285285285285286286287287287287287287287287287287287286286285285285285284284284284284283283283284284284284284284284284283283283282282282282282282283284285285286286287287287287287287287286286286286285285285286286286286287287287287287287287287287287286286286286286286286285285285285285285285285285284285284284285285284284284284284283282283283282282282282281281282282282282282282282282283282282283283283283283284284284285284284285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292290287287289290289289288288287288287287287287287287287288290292294295295295296295296296296295294293293294294294295294295295295295295295295296295296296296296297297297297297297297298298299299299299299299300300299299299299299298299298296296999302300299299300300300300300300300300300299300300300300300300299299299299299299299299299298298298298298297297297297297297297297297297297296296296296296296296296296296296296296296296296296296296296296296296296295296296297297298298298298298298298297297297297298298298298297296295295295295294294294294294294294294293293293293293293293293293293293293294294294294295296296296296296295295295295295295295295294294294294293293293292293293293293293293293293293294294293293293293293293293293293293293293293293293293293293293293293293293293294293294294294294294294294294294294293293293292292292292291291290290290291291291290291290291290290290290290290289289289289289289288288288287287287287288288288288288288288288288288288288288288287287287287287288288288287287287287288288288288287287287287287286287287287286285285285285285285285285285285285285285285285285285285285285285286286286286286286286286286286286286286286286286286286286286286287287287287287287287287287287287287287287287287287287287287287287287287287287287286286286286287287287287287287287287287287287287287287287287287287287287287287286286286286286286286285285285285285285285285285285285285285285285285286286287287287287287287287288288287287287286285285285284284284284284284284284284284284284284284284284284284283283283282282282282283284285285286287287287288288288287287287287287287287286286286286286287287287287287287287287287287287287287287286286286286286286286286286285285285285285285285285285285285285285285285285284283283283283282282282283282282282282282282282282282282282282284283283283283283284284285284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292291290288288289289289289288288288287287287287287287287287289291292294295295295295296295295294292293293294294295295295295295295295295295295295296296296296296296296296297297297298298298299299299299299299299300300299299299298297295295296296295999300298298299300300300300300300300299300299299299300300300300300299299299298299299298298298298298298298298297297297297297296296296296296296296296296296296296296296296296296296295296295295296296296296296295295296296297297298298298298298298298298297297298298298298298298298297296295295295294294294294294294294294294293293293293293293293293293293293293294294294295295296296296296295295295295295295294294294294294294293292292293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293294294294294294294294294294294295294294294294293293293293292292291291291290290290290290291290290290290290290290290289289289289289288289288288287287287287287287287287287287288288288288288287288288287287288287287288288288288288288288288288288288288288287287287287287287287286285285285285285285285285285285285285285285285285285285285285286286286286286286286286286286286286286286286286286286286286286286286287287287287287287287287287287287287287287287287287287287287287287287287287287286286286287287287287287287287287287287287287287287287287287287287287287287287287287286286286286286286286285285285285286286286286286285285285285285286286287287287288288288287288288287287287286285285285284284284284284284284284284284284284284284284284284284284283283282283283284285285286286287287287287288288288288288288288288288287287287287287287287288287287287287287287288287287287287287287287287287286286286286286285285285285285285285285285285285285285285284284284283283282282282282282282282282283282282282282282282282282282283283283283283283283284284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292292291290289289289289289288288288288288287287287287287287289290292294294293293293293292291292293294294295295296296296296296296296296296296296296296296296296296296296297297298298299299299299299299299299300300299299299299298297296296297297297298299299299300300300299300300300300299300299299299299299300299299299299299298298298298298297298298298297297297297297297297296296296296296296296295295295296295295295295296295296296296295295295296296296295295296296297297298298298298298298298298298297297297298298298298298298297296295295294294294293293293293293294294293293293293293293293293293293293293294293294295296296296296296295295294294295295294293294294293293293292293293293293293293293293293293293293293293293293293293293293293293292292292292292292292292292292293292293293293294294294294294294294295295295294294294294294294293293292292292291291291291291291291290290290290290290290290290289289289289289288288288288288287287287287287287287287287287287288288288288288288288288288287287287288288288288288288288288288288288288287287287287287287287286285285285284285285285285285285285285285285285285285285285286286286286286286286286286286286286286286286286286286286286287287287287287287287287287287288288288287288287287287287287287287287287287287287287287287287286286286287287287287287287287287287287287287287287287287287287287287287287287287287287286286286286286286286286286286286286286286286285285285285285286287287287287288288288288288288287287286286285285285285284284284284284284285285284285285284284284284284284284283283284284285286286287287287288288288288289289289288289288288288288288288288288288288287287287287287287287287287287287287287286287286286286286286286286286285285285285285285285285285285285285285284284285284283283283283282282282283283283283282282282282282282282283283283283283284284283284284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292291288288289289288289288288288288288287287287287287287289289292293291291290291290290290292293294295295296296296296296296296296296296296296296296296296296296296297297298298298299299299299299299299299300300299299299298298297297298298298298299299299299300300300299300299299300300299299299299299299300300300299298298298298298297297297298298298297297297297297297297296297297296296296295295295295295295295295296296296295296296296295295296295295295296297297298298298298299298298298298298298297298298298298298298298298297296295295294294294294293293293293293294293293293293293293293293293293293294294294294295296296296296296296295294294295294293293293293293293292293293293293292293293293293293293293293293293293293293293292293293292292292291291291291291292292292292292293293293293294294293294294294294295295295295294294294294294293293293292292292292292291291291291291291290290290291290290290289289289289288289289288288288287287287287287287287287287287287287287288287287288288288288287288288288289288288288288288288288288288288287287287287287287287286285285285284285285285285285285285285285285285285285286286286286286286286286286286286286286286286286286286286286286287287287287287287287287287287288288288288288288288287287287287287287287288288287287287287286287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287286287286287286286286286286286286286286286286285285286286287288288288288288288288288288287286286286285285285285285285285285284285285285285285285285285285284284284284284284285285286286287287287288288288288288288289289288288288288288288288288287287287287287287287287287287287287287287287287286287286286286286286286286286286286285285285285285285285285285285285285285285285284284284283283283283283283283283283282282282282282282282282283283282283283284284284284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291291291289289289289289289288288288287287287287287287287287288289290292290289288289289289290292294295295296296296296296296296296296296296296296296296296296296297297298298298299299299299299299299299300300299299299299299299298298298299298298298299299300300300300299299299299299299299299299299299299298298298298299299298298298297297297297297298298297297297297297297297296296296296296296295295295295295295295295295295296296296296296296295295295295295297297297298299299299299299298298298298298298298298298298298298298298297296295295294294294294294293293293293293294293293293293293293293293293294294294294294296296296296296295295295294294294294293293293293293293292293293292292292292293293293293293293293293293293293293293293293293292292291291291290290291292291291292292292293293294294294293294294294295295295295295295295294294294294293293293293293293292292292292291291291291290290290290290290290290290289289289289289289288288288287287287287287287287287287287287287287288288288288288287288288288289289289288288288289288288289288288287287287287287287286286285285285285285285285285285285285285285285285285286286286286286286286286286286286286286286286286286286287286287287287287287287287287287287287287287288288288288288288288288288288288288288288288287287287286286287287287287287287287287287287287287287287287287288287287288287288287287287287287287287287287287287287287287287286286286287287286286286286286286287287288288288288288288288288288287287286286285285285285285285284284284285285285285285285285285285284284284284285285286286286287287287288288288288288288288289288288289288288288288288287287287287287287287287287287286286286287287287287287287287286287286286286286286286286286286286286285285285285285285285285285285285285284284284284284284284284284284284283283282282282282282282282282282282282284283284284283284283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289290289289288288289289288289288287287287287287287286286287288289289291291288287287288289291293294295296296296296296295296296296297297297297297297296296297297298298298299299299299299299299299300300300299299299299299299299298298298298299299299299299299300300299299299299299299299299299299299298299299298299299299298298298298297297297297297297297297297297297296296296296296296295295295295295295295295295295295295295295296296296296295295295295295296297297298298299299299298298298298298298298298298298298298298298298298297296295295294294294294294294294294293293293293293293293293293293293293294294294294295296296296296296295295295294294293293293293293293293292292292292292292292292292292292293293293293293293293293293293293293293292292291291290290290291292292291291291292293293293293293293293294294294295295295294294294294294294294293293293293293292292292292292291291291291291290290290290290290290290290289289289289289289289288288287287287287287287287287287287287288288288288288288288288288289289289289289288288289288289289288288288287287287287287286286286286285285285285285285285285285285285285285285286286286286287287287286286286286286286286286286286287287287287287287287287287287287287287287287287288288288288288289288288288288288288288288288288287287287287287287287287287288288288288288288288288288288288288288288288288288288288288288287287287287287287287287287287287287287287287287286286286286286286287287288288288288287288288288288287286286286285285285285285285285284285284284284285285284284284284284284284285285286286286286287287287288288288288288288288288288289289288288288288287287287287287287287287287286286286286286286287287286287287287287287287287286286286286286286286286286286286286286286285285285285285285285285284285284284284285285285284284284284283282282282282282283283282283283284284284283284283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290288288286288289288288289289289289288287287287286286286287287288289290291291291288287288289291294295296297297297297297297297298297297297297297297297297297298298299299299299299300300300300300301300300300300300299300300299299299299298298299299299299299299299300300299300299299299299300299299299299298298298298298298298298298298297297297297297297297297297297297297296296296296296295295295295295295294294295295295295295296296296296296295295295295295297297298298299299299299299299298298298298298298298298298298298298298297297296295295295295294294294294294294294294293293293293293293293293293293294294294295296296296296296296295295295295295294293293293293292293292292292292291291292292292292292292293293293293293293293293293293293292292291291291291290290291292292292291291292293293293293293293293294294294295294295294294294294294294294293293293293292292292292292291292291291291291291291291291290290290290290289289289289289289289289288288288288288287287287287287287287288288288288288288289288288289288289289289289289289288289289289288288287287287287287287287286286286286285286286286286286286285286286286286286286286287287287287287287287286286287286286287287287288287288288288288288288288287288287288288288288288288289289289289289289288288288288288288288287287287286287287287287287287287287288288288288288287287287287287288288288288287288287287287287287287287287287287287287287287287287287286286286286286286286287287288288288287287288288288288287286286286285285285285285285285285285285285285285285284284284284284285285285286286286286287287287288288288288288288289288289288289288288288288287287287287287287286286287286286286286286286286286287286287287287286286287287287286286286287286286286286286286286286286286285286286285285285285285285285285285285286285285285285284284283283283283283282283283283284284284284283284283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294289999285287288288288288288289289288287287286286286286287288288289289290290290289287288290292294296297297297297297297298298298298298297297297297298298298298298299299299299300300300301301301301300300300300300299299299299299299299299299299300299299299299300300300300300300300300300299299299299299299299299298298298298298298298298298297297297297297297297297297297297296296296296295295295295295295294294295295295295296296296297296296295295295296296297298298298299299299299299298298298299299298298298298298298298298297297296296295295295295295294294294294294294293293293293293293293293293293294294294294295297296296296296296296295296295295294293293293293292292292292292291291291292292292293293292293293293293293293293293293293292292292292292291290290290291292292292291291293293293293293294293292294294294295294295295294294294294294294293293293293293293292292292292292292292292291291291291291291291291290290290290289290290289289289289289289289288288288288288288288288288288288288288289289288288289289289289289289289289289289289289288288288287287287288288288287286286286286286286286286286286286286286286286286287287287287287287287287287287286287287287287287288288288288288288288288288288288288288288288288288288288288289289289289288288288288288288288288288287287286286287287287287287287287288288288288288288288288287287288288288288288288287287287287287287287287287287287287287287286287287287287286286286286286287287288288287287287288288288288287286286286285285285285285285285285285285285285285285284285285285285285285286286286286287287287287288288288289288288288288288288288288288288287287287287287287287286286286286286286286286286286287287287286286286286287287287287287287287287287286286286286286286286286286286286286285285285286286285285286286286286286286285286286285284283283283283283283283284283284284284284284283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292294295999289999285287288288288288288289288288287286286286285286287287288288289289289289289288289290292295297297297297297298298298298298298297297297298298298298298298299299299299299300300300301301300300300299299299299299299299299299299299299299299299300299299299299300300299299300299299300299299299299298298299299298298298298298298298297298297297297297297297297297297297297296296296296295295295295295295294294295295295296296297297296296296296296296296297298298298299299299299299299298299299299298298298298298298298298298297297296295295295295295295294294294294294294294294294294294293294294294294294294294295296297296296296296296296296296296296295294294294293292292292293292291291292292292292293293293293293293293294294293293293293293293292292292291291291291291292292292293293293293293294294294294293293293294294294294294294294294293293293293293292292292292292293293293293293293293292292292292292292292292291291291291291290290291290290290290290290290289289289288288288288288288288288288289289289288288289289289289289289289289289290289288288288288288287288288288287287286286286286286286286286286286286286286286287287287287287287287287287286287287287287287287288288288288288288288288288288288288288288288288288288288288289289289289289289289288288288288288288288287287287287287287288288288287287288288288288288288288288288288288288288288288288287287287287287287286287287287287287287287286286287287287287287286286286287287287287287287287287288288287287286286286286286286286286286286285285285285285285285285285285285285285285286286286286287287287287288288288288288288288288288288288287287287287287287287287287287286286286286286286286286286287286287286286287287287287287287287287287287287287287286286286286286286286286286286286286286286286286286286286286286286286286286286286285285285284283284284284284285284285285285285284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292290289286283284286288288288288288289289288288287286286286285286285285286287288289290289290289290291294295297297298298298298298298298298298298297298298298298298298299299299299300300300300300300300300300299299299299299298299298298298299299299299299299299299299299299299299299299299299299299299299299298298298298298298298298297297298298297297297297297296297297297297297297297296296296295295295295295295295294294295295296296296296296296296296295295296296297298298298298299299298298298298298298298298298298298298297297297297297296295295295295295295295295294294294294294294294294294294294294294294294294294295296297297296296296296296296296295295295295294294293293292292292292292292291292292291291292292292293293293293293293294293293293292292292292292291291292291292292293292293293293293293294294294293293293293293294294294294294293293293293293293292292291292292292292292292293294294294293293293293293292292292292292292292292292292292292291291291291291291290290290289289289289289289288288288288289288288288288288289289289289289289289289289288288288288288288288288288288287287286286286286286286286286286286286286287287287287287287287287287287287287287287287288288288288288288288288288288288288288288288288288288288288288289289289289289289289288288288288288288287287287287287287287287287287287287287288288288288288288288288288288288288288288288288288287287287286286286286286287287287287287287287287286286287287287287287287287287287287287287287287287287287286286286286286286286286286286286286286285285285285285285285285285286286286286286286287287287288288289288288288288289289288288288288287287287287287287287287287286286286286286286286286286286286286287287287287287287287287287287288287287287287287287287286287287287286286286286287286287287287287287287287287287287287287286287286286286285285284285285285285284285284285285284284283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292293999999291288285285286287288288288287288289289289289287287287286284286285999282284286288289290290290291293295296297297298298298298298298298298298297297298298298299299299299299300299299300300300300300300300300299299299298298298299298298298299299299298299299299299299299299299299299299299299299299299298298298298298298298298297297297297297297297297297297297296296296297296297297297297296296295295295295295295295294294295295296296296296296296296296296296297297298298298298298298299298298298298298298298297297297297297297297297296296296295295295294295295295294294294294294294294294293293294294294294294294294294295296297297296296296296296296296295295295295295294293293292292292292292292291291291291291291291292292292293293293293293293293293293293293292292292292291292292293293293293293293293293293294293293293293293293294294293294293293293293292292292291292291291291291292292292293293293293293294294293293293293293293293293293293293293293293293293293292293292292291291290290290290290289289289289289289289289288288289288289289289289289289289289288288288288288288288288288288288288287287287286286286286286286287287287287287287287287287287287287287287287288288288288288288288288288288288288288288288288288288288288288289289289288289289289289288289288289288288288288288288287288288287287287287288287288288288288288288288288288288288288288288288288288288288287287287286286286286286286286287287287287287287287286286287287287287287287287287287287287287287288287287287286286286286286286286286286286286286286286285285285285285285285286285286286286287287287287288288289288288288288288288288288288288287287287287287287286286286286286286286286286286287287287287287287287287287288288288288288288288288288288287287287287287287287287287287287286286287287287287287287287287287287287287287287286287286286286285285284285285285285285285285284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287288289290289287287288289288287288288288288288288288288287287287286286999999999999999999284287289290292293295296297297298298298298298298298298298298297297298298299299299299299299299299299299299300300300300300299299299298298298298298298297298298298298298298299299299299299299299299298298299298298298298298298298297297297298297297297297297297297297297297297296296296296296296296297297296296295295295295295295295295295295295295295296296296296296296296296297297298298298298298298298299298298298298297297297297297297297297297297296296295295295295295295295295294294295294294294294294293293293294293294294294294294294296296297296296296296296296296295295295295295295295294293293292292292292292291291291291291291291292292293293293293293293293294293293293293292292292292292292292292292293293293294293293293293293293293293293293293294293293293293293292292292291291291291291291291291292292292293293293294294294294294294294294294294294294294294294294294294294294294293293293292292292291291291291290289289289289289288288288288288288289289289289289289289289289288288288288288288288288289288288288287287287287287287287287287287287287287287287287287287287288288288288288288288288288288288288288288288288288288288288288288289289289289289289289289289289289289289288288288288288288288288288288288288288288288288288288288288288288288288288288288287288288288288288288288288288287287286286286286287287286286286287287287287287287287287287287287287287287287287287287287287287287287286286286286286286286286286286286286286286286286286285285285285285285286286286286287287287287288288289288288288288288288288288288288288288287288287287287287287287286286287287286287287287287287287287287288288287287287287288287288287287287287287287287287287287286286286286286286286286286287287287287287287287287287287287287287286286286286285285285285285285285285285284285284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288283286289289289289289288287288288288289288288288288286286287287999999999999999999999999281285289292293295296297298298298298298299298298298298298298298298298298299299299299299299299299298297298299299299299299299299299298299298298298298297297298298298298298298298298299299299299298298298298298298298298298298297297297297297297297297297297297297297297297297297297296296296296296296296296296295295295295295296296295295295295295295295296296295296296296297297297298298298298298298298298298298298297297297297297297297296296296296296296295295295295295295295295295295294294294294294294293293293293293294294293294294295296297296296296296296296296296296295295295295295294295294293293292292292292291291291291290291291292292292293293293292293294294293293293293292292293293293292293293293293293294293293293293293293292293293293293293293293293293292292292292291291291291291291291291291292292292293293293293294294294294294294294294294294294294294294294295295295295295295294294293293293292292292291291290289289289289289288288288288288288289289289289289289289289289288288288288289289289289289288289288288288288288288288288287287288288287287287287287288288288288288288288288288288288288288288288288288288288288289289289289289289289289289289289288288288288288288289288288288288288288288288288288288288288288288288288288289289288288288288288288288288288288288288288288288288287287287287287287287287287287286287287287287287287287287287287287287287287287287286286287287287287287286286286286286286286286286286286286286286286286286286286286286286286286286287287287287287288288288289289288288288288288288288288287287287287287287287286286286286286286286286286286286286287287287287287288287288287288287288287287287287287287287287286286286286286287286287287287287286286287287286287287287287287287287287287287286286286286286286285285285285285285285285284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285285287289290289289288288287288288288289289288287286286287289999999999999999999999999999283286290293294296297298298298298299299299299298298298297297297297298299298298298298299299299298298297297298299299299299299298299299299298298298298298297298297297297297298298298298299299298298298298298298298298298298297297297297297297297297297297297297297296296296297297297296296296296296296296296295295295295295295296296296295295295295295295295295296296296297297297298298298298298298298298298298298298297297297297297297297296296296296296296295295295295295295295295295295294294295294294294293293293293293293293294294294296297296296296296296296296296296296296296296295295295295294294293293292292292292291291291291291291292292292292293293293293293294293293292292292293293292293293293293293293294293293294293293293293292292292292292293293293293292292292292291291291291291291290291291291291292293293293294294294294294294294294294294294294294295295294295295294294295295294294294294294294293293293292292291291290289289289288288288288288289289289289289290289289289289288288288288289289289289289289289289289288288288288288288288288288288288288288288288288288288288288288288288288288288288288289289289289289289289289289289289289289289289289289289288289288288289288289288288288288288288288288288288288288288288288288288289289289288288288288288288288288288288288288288288288288287287286286287287287287287287287287287287287287287287287287287287287287287287287287286287287287287287286286286286286286286286286286286286286287287287286286286286286285286286286286286287287287287288288288288288288287287288287287287287287287287286286286286286286286286286286286286286286287287287287287287287287287287287287288288288287287287287287287286286286286286286286286286287286286286286286286286286287287287287287287287286286286286285286285285285285285285285285284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288285285287288289290290290289288288288288288289289289288286285285288289999999999999999999999999281281286290294295297298298298299299299299299299298298298298298298297298298298298298298297299298298297297297297298299299299299299299299299298298298298298298298298297297297297298298299298299299298298298298298298298298298297297297297297297297297297297297297297296296297297296296296296296296296296296296295295295295295295296296296296296295295295295295296296296297297297298298298298298298297298298298298298298297297297297297296296296295295295295295295295295295295294294294295295294295294294294294294293293293293293294294294295296296296296296296296296296296296296296296296296295295295295294294293293292292293292292292292292292292292293292293292293293293293293293292292293292292293293292292293293294294294294293292293293292292292292292292292293293293292292291292291291291290290290290290291291291292293293294294294294294294294294294294294295294294294294295295295295295295295295294294295294294294294294293293292292291290290289289289288288288289289289289289289289289289289289288288289289289289289289289289289289289289289288288288288288288289289289289288289288288289289289289288288288288288288289289289289289289289289289289289289288289289289289289289289289288288288288288288288288288288288288288288288289289289288288289289288289289288288288288288288288288288288288288288288288288288287287287287287287287287287287287287287287287287287287287287287287286286286286286286286286287287287286286286286285285286285285285286286286286287286286286286286286286286286286286287287287287287288288288288288288288288288287287287287287287287287287286287287286286286286286286287287287287287287287287287287287287287287287287287287287287287287287287286286286286285286286286286286286286286286286286286286286286286287287287287287286286286286286286286285285285285285285285284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286287289289290290289289288288287287288289289289289287285285285288999999999999999999999999999280281287291294297298298299299299300300300300299299298298298298298298298298298298299297296298299298297999999296297298299299299299299298298298299298298298298298298298297297297298298298298299299299298298298298298298298298297297297297297297297297297297297297297297296297297297296296296296296296296296296296295295295295295296296296296296296296295295295296296296297297298298298297298297297297298298298298298298298297297297296296296296295295295295294294294294294294294294295295295295295294294294294294293294294293294294294295295296296297296296296297296296296296296296296296296296296295295294294294293293293293293293293293293292293293293293293293293293293293293293292293293293293293293292292293293294294294293293292292292293292291292292292292293293293293292291291291291291291290290290290291292292293293293294294294294294294294294294294295294294294295295295295294294294294295295295295294294294294294294293293293292292291291290290289289288288289289289289290290290289289289289289289288289289289289289289289289289289289289289289289289289289289289289289289289289289289289289288289289288288288288288289289289289289289289289289289289289289289289289289289289289289288289289289289289288288288288288288288288289289289288289289289289289289289288288288288288288288288288288288288288288287287287287287286286286287287287287286286287287287287287287287287286286286286286286286286286287287287287286286286286286285285285285285286286286287287287287287286286286286286286286286287287287287287288288288288288288288288287287287287287287286287287286286286286286286286286286287287287287287287286286286286286286286286286286287287287287287287287287287286286286286286286286286286286286286286286286286286286286286286286286286287287286286286286286286286285285285285285285284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287289290290289289289288288287287287287288289289287285285286287999999999999999999999999999999999284290293296297298299300299300300300300299299299299299298298298298298298299299299298297299300299298298297297298299298298298298298298298298298298298298298298298298298297298298298298299299299299298298298298298298297297298298297297297298297297297297297296296296296296296296296296296296296296296296296296295295295295296297297297296296296296296296296296296297297298298298298297297297297297298298298298298298298298297297296296296295295295295294294294294294294294294295295295295295295294294294294294293294294294294294295296296296296296296296296296296296296296296296296296296296296296296295295294294294294294294293293293293293293293293293293293293293293293293293293293293293293293293293293292293294294294293293292292292292292292292292292292292293293292292291291291291291290290290290291291292293293294294294294294294294294294295294295294294294294294294294294293293293293293294294294294294294294294294293293293293292292291291291290289289289289289289289290290290289289289289289289289289289289289289289289290290290290290290290290289289289290289289290290290289289289289289289289288288288289288288289289289289289289289289289289289289289289289288288288288288288288288288288288288288288288287287288288288288288288289289289288288289289288288288288288288288288288288288288288288288288287287287287286287287287287287287287287287287287287287287286286286286286286286286286286286286287287287286286286286286285285285285286286286286287287287286287287286286286286286286286286286287287287287288288288288287287287287287287287287286286286286286286286286286286286287287287287287287286286286286286286286286286286286286287287287287287287287287287287286286286286286286286286286286286286286286286286286286286287286286286286286286286286286286286286286286285285285285284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291290287286284285286289290290289289288288288287286286287287287287287285285287289999999999999999999999999999999999999287292295297298298299300300300300299299299299299299298298297297297298297298299299298298298298298299298298298298298298298298298298298298298298298298298298298298299298298298298298299299299299299298298298298298298297297298298298298298298297297297297296296296296296296296296296296296296296296296296296296296296296296296297297297297296296297296296296296297297297298298298298298297297297298298298298298298298298298298297297296296295295295294294294294294294294294294295295295295295294294294294294294294294294294294295295295296296296296296296296296296296296296296296296296296296296296296296295295295294294294293293293293293293293293294294293293293293293293293293293293293293293293293293293293293294294293293294293292292292292293292291292292292293293292291291291291292291290290291291291292292293294294294295295294294294294294294294294294294294294294294293293293293293293293294294294294294295294294294294294293293293292292292291291289289289289290289290290290290290290289289289289289289289288289289289289289289290290290290289289289290289289290289289289289289289289289288288288288288288288288288289289289289289289289289289289289289288288288288288288288288288288288287288288288288288288287288288289289288288289289289289288289289288288288288288288288288288288288288288288288288287287287287287287287287287287287287287287287287287287287286286286286286286286286286286286286286287286286286285285285285285285285285286286286286287286286286286286286286286286286286286286286287287287288288288288288288288287287287287287287286286286286286287286287287287287287287287287287286286286286286286286286286286286286287287286287287287287287287287287286286286286286286286286286286286286286286286286286286286286286286286286286286286285285286285285285285285284284284284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290287286287287285286288290290290290289288288288285284285284285284284285284287291999999999999999999999999999999999999288292295297298299299299300300301300299300300299299299298297297298298297298298299298298298298298299299299299298298298298298297297297298298298298298298298298298298298298297298298298298299298298298298298298297297297297297297298298298297297297297296296296296295295295295295295295295295295295295295296296296296296296296296296297297297297296296296296296297297298298298298298298298298297297297298298298298298298298298298298297296296296295295295295294294294294294294295296295296295295294294294294294294294294295295295295295296296296296296296296296296296296296296296296297296296296296296296296296296295295294294294294294293294294294294294294294293293293293293293293293293293293293293293293293293293293293293294294293293292292292293292292292292293293293293292292292292291291290290291291291292293294294294294295295295295294294294294294294294294293293293293293293292293293293293293294294294294294294294294294294293293293293292292291291290289288289290289290290290290290289289288288288288288288289288289289289289289289289289290290290290290289290290289289289289289289289288288288288288288288288288288289289289289289289289289289289289288288288288288288288288288288288288287287287288288288288288288288289289289289289289289289289289288289288288288288288288288288288288288288288288288288287287287287286286287287287287287287287287287287286286286286286286286286286286286286286286286286286286285285285285286285285285285286286286287287286286287286287286286286286286286286286286287287288288288288288288288288287287287287287287286287286286287287287287287287287287287287287287287286286286286286286286286286286287287287287287287287287287287287287286286286286285285285285285285285285285285285285285285285285285285286286285285285285285285285285285285284284284284284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287287287288287288289290290290289289289288285281281282282283283284285286292292999999999999999999999999999999999999292295297298299299300300301301301301300300300300300299298297999299299999999299299298298298298299299299299298298298297298298297297298298298298298298298298298298298298298298298298298298298298298298298298297297297297297298298297298297297297296296296295295295295295295295295295295295295295295295295296296296296296296296296296297297297297297296296296296297297298298298298298298297297297297297297297298298298298298297297297298297297296295295295295295294294294294295295295295295295295294294294294294294294295295295295295296296296296296296296296296296296296297296296296296296296296295295296296295295295294294294294294294294294294294293294294293294293293293292292292292293293292293293293293293293293293293293293293293293292292292292292291291292292292292292292292292291291291290290291291292292293293294294294294294295295294294294294294294293293293293292292292292292293293293293293293294294294293294294293293293293293293293292292291291291289289289290290290290290290290289289289288288288288289288288289289289289289289288289289290290290290290290290289289289289288289289289288288288288288288288288288289289289289289289289289289289289289288288288288288288288288288288288287287287287288288288287288288288288288289289289289289288288288288288288288288288288288288288288288288288288287287287287287287286287287287287286287287286287287287286286286286286286286286286286286286287286287286286286285285285285285285285285285286286286287287286286286287286287287286286286286286286287287287288288288288288288288288288287287287287287287287286287287287287287287287287287287286286286286286286286286286286286286286286287287286286287287287287287287287286286285285285285285285285285285285285285285285285284285285285285285285285285285285285285285284285284284284285284284284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288290289289289289290289289289288289288285281280282281282282283285289295999999999999999999999999999999999999292294297298299299300301301302302301301301300300300300300299298299299299299299299299299299298298298298298298298298297297297297297297297298298298298298298298298298298298298298298298298298298298298298298298297297297297297297298298297297296296296295295295295295295295295295295295295295295294294295295296296296296296296296296297297297297297297296296296296297297298298298298298297297297297297297297298297297298298298297297297297297297297297296296295296295295295295295295295295295295295295295295295295295295295295295296296296296296296296296296296296296296296296296296296296296296296296296296296295294294295294294294294293294294294294294294293294294294293293292292291292292292292292293292292293293293293293293293293294293293293292292292292291292292292292292292292291291291291291291291291292293293294294294294294295295295294294294294294294293293293292292292292293293293293293293293293293293293293293294293293293293293293293292292292292291290289289290290290290290290290289289288288288288288288288288289289289289289289289289289289289290290290289289289289289289289289288289288288288288287288287288288288289289289289289289289289289288288288288288288288288287287287288288287287287287287287288288288288288288288289289289289288288288289288288288288288288288288288288288288288288288288287287287287287286287287287286287287287287287287286286286286286286286286286286286287287287287287287286285285286286285286285285285285286286286287287286286286286286287287286286286286286286287287287288288288288288288287287287287287287286286286286286286286286287287287286286286286286286286286286286286286286286286286286286287287286286287287287287287287287286286286285285285285285285285285285285284285284284284284285284284285285285286285285285285284284284284284284284284284284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286286288288288287288289290289289288289289288286282280281283283284285287292294999999999999999999999999999999999999293296298298299299301301301302302301301300301301300300300299298298298299299299299299299299298298298298298298297297297297297297297297297297297298298298298298298298298298298298298298298298298298298298298298297297297298297297297297297296296295295295295295295295295295295295294294295295295294295295295296296296296296296297297297297297297297297296296296297297297298298298298298298298297297297297297297298297297298298298298298297298297297297297297297296296295295295295296295295294295295295294295295295295295295296296296296296296296295296296296296296296296296296296296296296296296296296296296296295295295295295294294294294294294294294294294294294294294293293292292291292292292292292292292293293293293293293293293293294293293293292292292292291292293293292292292292291291291291291291291292292293294294294295295294295294294294294294294294294293293292292293292292293293293293293293293293293293293293293294294293293293293293293292292292291291290289289290289290290290290289290289289288288288288288288288288288289289289289289289289289288288289289289289289289289289289289288288288288288288287288287287288288289289289289289289289289289289288288288289288288288288288287288287287287287287287287287287288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288287287287287287287286287287287287287287287286286286286286286286286286286287287287286286286286285285285285285285285285285285285285285286286286286286286286287286286286286286286286286286287287288288288288288288287287287287287287287286286286286286286286286286286286286286286286286286286286286286286286286286286287287287287287286287287287287287287287286286286285285285285285285285284284284284284284284284285284284284284285285285285285285284284284284284284284284284284284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284287288288287288289290290289289289289289288286285283287288286286286288292999999999999999999999999999999999999291293296298299299300301301301302301301301301301301301301300300299299299298299298299299299299298298298298298297297297297297297297297297297297297298298298298298298298298298298298298298298298298298298298298298298297298298298297297297296295295295294294294294295295295295295294294293294294294295295295295296296296296297297297297297297297297297297296296296296297297298298298298298298298298297297297297297297297297297298298298298298298297297297297297297297296296295295295295295295295295295294295295295295295296296296296296295295296296295296296296296296296296296296296296296296296296296296296296295295296295295295295295295294294294294294294294294294294293293293292292291291292291292292292292292293293293293293293293293294293293293293292292292292292293293292291291291291291291291291291292292292293294294294294294294294294294294294294294294293293292292292292292292293292293293293293293293293293293293293293293294293293293293292292292292292291291290289290290290290290290290290289289289288288288288288288288288289289289289289289289289289288288288289289289289289289289288288288288288288287288287287288288288289289289289289289289289289289289289289289289289289288288288288287287287287287287287288288288288288288289289288288288289289288288288288288288288288288288288288288288288288288288288287287287286287286286286286286286286286286286286285285285285285285285285285285285286285286285285285285285284284284285284285285285285285286286286286286286286286286286286286286286286286287287287288288288288288287287287287287287287287287287287287286287287286286286286286286286286286286286286286286286286287287287287287287287287287287287287287287287287286286286286285285285285285284284284284284284284284284284284284284284285285285284284284284284284284284284284284284284284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289283286287287287287289290290290289289289289288286286286284288290288286286290999999999999999999999999999999999999999291294296298299300301302302302302301301301301301301301301301300299299299299298298299299299299298298298298297297297297297297297296297297297297297298298298298298298298298298298298298298298298298298298298298298298298298298298297297296295295294294294294294294295295295295294294293294294295295295295295296296296297297297297297297297297297297297297297296296296297297297298298298298298298298298297297297297297297297297298298298298298298297297297297298298297297296295296296296295296295295295295295295296296296296297296296295295295296295296296296296296296296296296296296296296296296296296296296296296296295295295295296295295295294294294294294294294294294294294293292292291291291291291292292292293293293293293293293293293293293294294293293292292292292292292292292292291291291291291291291292292293293294294294294294294294294294294294294294293293293292292292292292292292292292293293293293293293293293293293293293293293293293292292292292292292291291290290290290290290290290290290290289289289288288288288288288288289289289289289289290289290289289288289289290289289289289289288288288288287287288288288288288289289289289289289289289289289289289289289289289289289288288288288287288287287287287287287287288287288288288288288288288288288288288288288287287287287287288288288288288288288288287287287287286286286286286286286286286286286285285285285285285285285285285285285285285285285285285285285285285284284284285285285285285285285285286286286286286286286286286286286286286286286287287287288288288288288288287287287287287287287287286286286286286286286286286286286286286285286285286286286286286287287287287287287287287287287287287287287287287286286286286286285285285285285284284284284284284284284284284284284284284285285284284284284284284285284285284284284284284284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289280280283285285284285288290290290290290289290289285284283284283287290289286289292999999999999999999999999999999999999999292295296297299300301302302302301301300300300300300300300300299299299299298298298299299299299298298298297297297297297297296297296297297297297297298298298298298298299299298298298298298298298298299298298298298298298298298297297296295294294294294294294295295295296295295294294294295295295295295296295296297297297297298297297297297297297297297297297296296297297297297298298298298298298298298298298298297297297297297297298298298298298298298298297298298297297296296296296296295296296296296296296296296296297296296296296295295295296295296296296296296296296296296296296296296296296296296296296296296296296296296296295295295295295294294294294294294294294293294294293292291291291292292292292292293292293293293293293293293294294294294294294293293293292292292292292292292292292291291291292292292292293294295295294295294294295294294294294294294293293293292292292292293292292293293293294294294294294294293293293293293293293293292292292292292292291291291290290290290290290290290290290290289289288288288288288288288288289289289289290290290290290289289288289289289289289289289288288287287287287287287287287288288289289289288289289289289289289289289289289289288288288288288288287287287287286286286287287287287288288288287288288288288288288287288288288287287287287288288288288288288288288287287286286286286286286286286286286286286285285285285285286285286286285286285285285285285285285285285285285285284284285285285285285285285285285285286286286286286286286286286286286286286287287287287288288288288288288287287287287287287287287286286286286286286286286286286286286286286286286286286286287287287287287287287287287287287287287287287287287287286286286285285285285285285285284284284284284284284284284284284284284284284285284284284284284284284284284284284284284284284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284278274277279280281282284288290290291289290292292289284280279280279284291289286290999999999999999999999999999999999999999999293295296297299300301302302302301300300300300300300300300300299299299298298298298299299298298297297297296297297296296296296296296296296296297297297297297298298298298298298298298298298298298298298298298298298298298297297297296295294294294294293293294295295295295295294294294295295295295295295295296296297297297297297297297297297297297297297297297296296296297297298298298298298298298298298298298298298297297297297297297298298299298298298298298298298297297297296296296296296296296296296296297297297297296296296296296296296296296296296296296296296296296296296296296296296296297297297297297297297296296297296296296296295295295295295295295295294295294294294294293293292292292292292292292292293293293293293293293294294294294294295295295294294293293293293293293293292292292292291292292292293293294294295295295295294294294295294294294294293293293293293292292292292292292293292292292293293293293293293293293293293292292292292292292291291291291291291290290290290290290290290290290290289289288288288288288287287288288289289289289289289289289289289288289289289289289288289288288287287287287287287287287287288288289288288288288289289289289289289289289289289288288288288287287287287287286286287287287287287287287287288288288288288288288288288288288288288288287288288288288288288288287287287287286286286286286285285285285285285285285285285285285285286286286285286285285285285285285285285285285285284284284285285285285285285285285285285285286286286286286286285286286286286287287287287288288288288288288287287287287287287287287286286286286286286286286286286286286286286286286286286287287287287287287287287287287287287287287287287287286286286285285285285285285285285285284285284284284285285285284284284284284285284284284284284284284284284284284284284284284284284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290294273273275278276275278280283287290290290289292294293289282279276280279283291290287290999999999999999999999999999999999999999999294295296298299300301302302301301301300300300300300300300300300299299298299298298298299298298297297297296296296296296296296296297296297296297297297297297297298298298298298298298298297298298298298297298298298298298297297296295294294294294293293293294295295295295294294294295295295295294294295295296297297297297297297297297297297297296296296296296296296296296297297297297298298298298298298298298298297297297297297297297297298299299298298298297297297297297297296296296296296296296296296296297296296296296296296296296296295296296296296296296296296296296296296296296296296296296296296296296296296297297296296296296296295295295295295295294294294294294294294293293292292292291292292292292292293293293293293293293294294294294294294295295294294293293292293293293293292292292292291291292292292293293294295295295294294294294294294294293293293293293293292292292292292292292292292291292292292293293293293293293292292292292292292292292291291291291291291290290290290290289290290290290290290289288288288288288288287288288288289289289289289289289289289288289289288289289288289288288287287287287287287287287288288288289288288288288289289289289289289289289289289288288288288288288287287287286286286287287287287287287287287288288287287287287287287287288287287287287288288288288288287288288288287287286286286286285285285285285285285285285285285285285286286285286285285285285285285285285285285285285285284284284285285285285285285285285285285285285285285285285286286286286287287287287288288288288288288288288287287287287287287287287286286286286286286286286286286286286286286286286287287287287287287287287287287287287287287287287287287287286286286285285285285285285285285285285284285285285285285285284285285285284284284284284284284284284284284284284284284284284284284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294287286284282280280279278277276278280282285288290289289293293290285280278275280283284292291289999999999999999999999999999999999999999999290294295296297299300301302302302301301300299300300300300300300299299299299299299298298298298298297297297296296296296296296296296296297297297297297297297297297297297298298298298298298298298298298298298298298298298297297296295294294294294294293293294294295295295295295295295295296295295295295295296297297297297297297296296297297296297296296296296296296296296296297297297297298298298298298298298298298298297297297296297297298298298299298298298298298297297297297297296296296297296296296296296296296296296296296295295295296296296296296296296296296296296296296296296296296296297297297296296296296296297297297297297297296296296296295295295294294294294294294293293293293292292292292292292292292292293293293293294294295294294295294295294294294294293293293293293293293293292292292292292292293293293293294295295295294295294294294294293293293293292293292292292292292292292292292291291291291292292292292292293293293292292292292292292292292292292291291291291290290290290290290290290290290290289288288288288288288287287288288289289289289289289289289289289289289288289289288288288288288287287287287287287287288288288289288288288288288288288289288289289289288288288288288288288287287287287287286286287287287286287287287287287287287287287287287287287287287287287287288288288288288288288287287287287287286286286285285285286285285285285285285285285286286286286286285285286285286285285285285285285285285284284284285285285285285285285285285285285285285285285285286286286286287287287287287288288288288288288287287287287287287287287287287287287286286286286286286286286286286286286287287287287287287287287287287287287287287287287287287286286286286286285285285285285285285285285285285285285285285285285285285285285284284284284284284284284284284284284284284284284284284284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293289286283283283282280277276275275276279280283286288287290293291286280278278276278283288292292295297999999999999999999999999999999999999999291294296296298299300301302301301301300299299299299299299299299299299299299299298298298298298297297296296296296296295295295295295295296296296296297297297297297297297297298298298298297298298298297298298297298298297297296295294294294294294294294293294295295295295295295295295295296295295296296296296297297297296296296296296296296296296296296296296296296296296296297297298298298298298298298298298298298297298297297297296297297298298298298298298298298297297297297297296296296297296296297296296296296296296296296296296296296296296296296296296297297297297297297297296297297297297297297297297297297297297297297297297297297297296296295295295295295294294294294294294293293292292292292293293293292293293293294294294294294294295295295295295294294294294293293293293293293293293292292292292292293293293294294295295295295295294294294294294294294293293293292292292292292292292292291291291291291291292292292292292292293292292292292292292292292291291291291291291290290290290290290290290290290289289289288287288288287287287287288288289289289289289289289289289289288288288289288288288288287287287287287287287287288288288289289288288288288288289288288288289289288288288288288287287287287287287287286286287287287287287287287287287287287287287287287287287287287287287287288288288288288288288287287287287287287287286286286286286285285285285285285285285285285285286286285286286286286286285285285285285285285285285285285284285285285285285285285285285285285285285285285286286286286287287287288288288288288288288288287287287287287287287287287287287287286286286286286286286286286286287287287287287287287287287287287287287287287287287287287287286286286286286285285285285285285285285285285285285285285285285285285285284284284284284284285284284284284284284284284284284284285285285285284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298296293292290289285285282282280277276274273274275277280282283287290291289284279278279278280284290293293292296999999999999999999999999999999999999999292294295296298299301301301301301300300300300300299299299299299299299298299298298298298298297297297296296296296295295295295295295295296296296296296296296297297297297297297297298298298298298298297297297297297297297296295294293293294294294293293294294295295296295295295295295295296296296295296296296296297296296296296295296296296296296296296296296296296296296296296297297298298298298298298298298298298297297297297297296297297297298298298298298298297297297297297297296296296296297296296296296296296296296296296296296296296295296296296297297297297297297297297296297297297297297297297297297297297297297298298298298297297297296296295295295295295295294294294294293293293293292292292292293293292293293294294294294295294295295295295295295295294294294293293294293293293292292292292292292292293293294294295296295295295295294294294294294294293293293293292292292292292292292292291291291291291291291292292292292292292292292292292292291291291291291291291291291291290290290290290290290290290290289289288288288288287287287287288288289289289289289289289289289289288288288288289288288288287287287287287287288288288288288289289289288288289289289288289289289288288288288288288287287287287287287287286286286287287287287287287287287286287287287287287287287287287287287287288288288288288287287287287287287287287286286286286286286286285286285286285285286286286286286286286286286286286286286285285285285285285285285285285285285285285285285285285285285285285285285285286286286286287287287288288288288289288288288288287287287287287287287287287287287287286286286286286286286286286287287287287287287287287287287287287287287287287287287287287287287286286286286285285286285286285285285285285285285285285285285285285285284285285285285285284285285284285285285285285285285285285285285285284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292290291290289287285286283279277275274273275277278281285287288287285282279280282283286287292295294291999999999999999999999999999999999999999288293294295296298299301301301301300300300300300299299299299299299299298298298298298298298297297297297297296295295295295295295295295295295295295296296296296296297297297297297297297298298298298298297297297297297296295295295294293293293294294293294294294295296296295295295295295295296296295296296296296296296296296296295295296296296295296295296295296296295296296296297297297297298298298298298298298298298298298297297297297296297297297297298298298298297297297297297297296296297297296296296296296296296296296296296296296296295296296296296297297297297297297297297297297297298298297297297297298298298298298298298298298298298297297296296296296295295295294294294294294293293293293293293293293293293293294294294294294294294295295295295295295295295294294293293293293293293292292292292292293293293294294295295296296295295295295294294294294294294294293293293292292292292292292292292291291291291291291291292292292292292292292292292292292291291292291291291291291291290290290290290290290290290290290289288288288288288288287287288288289289289289289289289289289289288288288289288289288288287287287287287287288288288288288289289289288288289288288288289289288288288288287287287287287287287287287286286286286286286287287287287287287287287287287287287287287287287287287287287288288288287287287287287287287286286286287286286286286286286285286285286286286286286286286286286286286286286286286286285286285285285285285285285285285285285285285285285285285285285285285285286286286287287288288288288288288289288288288287287287287287287287287287287287287287286286286286286286286286287287287287287287287287287287287287287287287287287287287287287287287286286286286286286286286285286286286286286286286286286286285285285285285285285285285285285285285285284285285285284285285284285285285284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294293291291290289289289289289285280278275274275277279281285286286286285281280277281285289292294295296295293999999999999999999999999999999999999999289293294296297298299300301301300300300300300299300299299298299298298298298298297297297297297297297296296296295295295295295295295295295295295295295295295295296296296296296296297297297297297297297297297296296295295294294294294293293294294294294294294295295296296295295295295296296296296296296296296296295296296295295295296296296296295295295296296296296296295296296296297297297298298299299298298298298298298298298297297297296296297297297298298297298298298297297297297296296296297296296296296296296296296296296296296296296296296296296297297297297297297297297297297297297298298298298298298298298298298298298298298298298298298297296296296296296295295295295294294294294294293293293293293293293293294294295295294295295295295295295295295295294294294294294293293293293293292292292292293293293294294294294295296296295295295295294294294294294294294293293292292291292292292292292292292291291291292291292292292292292292292292292292292292291291291291291291291292291291290290290290290290290290290290290289288288288288288287287288288289289289289289289288289289289288288288288289288288288287287287287287288288288288288288288288289288289289288288288288288288288287287287287287287286287286287287287286286286286286286286287287287287287287287287287287287287287287287286287287288288288287287287287287287287287287286286286286286286287286286286286286286286286286286286286286286286286286286286286286286286285285285285285285285285285285285285285285285285285285285286286286286286287287288288288288288289289289288288287287287287287287287287287287287287286287286286286286286287287287287287287288288287287288287287287287287287287287287287287287287287286286286286286286286285286286286286286286286286286286286286286286285285285285285285285285285285285285285285285285285285285284285284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292290289289290290290291291290288281277276277278279281284286284283283281279278278282287292295296296296295293999999999999999999999999999999999999289292294295296297298299300301301300300300300299299299299298299299298298298297297297297297296297296296296296295295295295295294295295295295295295294295294295295295295295296296296296297296296296296296296295295295295295295294294294293294294294294294294295295295295296295295295296296295295295295295295295296296295295295295295296295295295295295295295295295295295295296296296297297298298298298298298298298298298298298298298297297296296297297297297298298298298298297297297296296296296296296296296296296296296296296296296296296296295295296296297297297297297297297298297297297297297298298298298298298298298298298299299299298298298298297297296296296296296295295295294295294294294293293293294294294294294294294295295295295295296295295295295295295295295294294294293293293293293293293293293294294294294295295295295296296295295295295295294294294294294293293293293292291291292292292292292292292292292292292292292292292292292292292292292292292291292292291291291291291291291291291290290291290290290290290290289288288288288288288288288288289289289289289289289289289289289288288288288288288288287287287287287287287287288288288288289289288288288289288288288288288288287287287287287286286286286286286287286286286286286286287287287287287287288288288288287287287287287287287287288288288288288288287287287287287287287287286286286286286286286286286286286286286286286286286286286287286286286286286286286286286286285285285285285285285285285285285285285285285285286286286286286287287287288288288288288288289289289288288288287288287287287287287287287287287287287287287287287287287287288288288288288287288287287287287287287287287287287287288288287287287286286286286286286286286286286286286286286286286286286286286286286286285285285285285285285285285285285285285285285284285285284285284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293999289289289289290291291292292292291288284280279280280281284285285283281280278277279283287292295296297296297297294293999999999999999999999999999999999292294294295297297298299300301301300300299300299299299299298298298298297297297297297297296296296296296295295295295295294294294294295295295295295295295294294295295295295295295295296296295295295295295295294294295295295295295294294294294294294294294294295295295295295295295296295296296296295295296295295295296295295295295295296295295295295295295295295295295295295295296296297296297298298298298298298298298298298298298297297297296296296297297297298298298298298297297296296296296296296296296296296296296296296296296296296296295295295296296297297297297297297298298297297297297297298298298298298298298298299298298299299299299299298297297297296296296296295295295295295295294294294294294294294294294294294294295295296295295295295295295295295295295294294294294294294294294294293293294294294295295295295295295295296296295295295295295295294294294293293293293292292291291291292292292292292292292292292292292292292292291292291291292292291291291292292292291291291291291291291291290290290290291290290290290289289288288288288288288288288289289289289288289289289289289289288289288288288288288288288287287287288288287288288288288288288288288288288288288288288288287287287287287286286286286286286287287287286286286286286287287287287287287288288288287287287287286287287287287287288288288288287287287287287287287287287286286286287287287287286286286286286286286286286286286286287286286286286286286286286286286285286285285285285285285285285285285285285286286286286286287287287287288288288288288288288288288288288288287287287287287287287287287287287287287287287288288288288288288288288288288288288288288288287287287288287288288288288288288287287287287286286286286286286286286286286286286286286286286286286286286286286285285285285285285285284285284284284284285284284284284284285284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283999999999999999999999999999999999999999999999999999999999999294999999999293292291290290290291291291292293293292292291289287282280280281283284282283283278279280283286289292295296297297297297297294293999999999999999999999999999999292294294294296296297298299300300301300300299299299299299298298298298297297297297297296296296296296296295295295295295294294294294294294294295295295295295295294294294295295295295295295295295295295295295295295295295295296295295295294294294294294294294295295296296296296296296296296296296295296296295296296295296296295295295295295295295295295294295295295295295295295295295296296296296297298298298298298298298298298298297297297297296296296296297297298297298297297297297297297296296296296296296296296296296296296297297297296296296296296296296297297297297298298297297298297297298298297298298298298298298298298298298298299299299299298298298297297297296296296296295295295295295295295295295295295295295295295295295295296296295295295295295295294295295294294294294294294294294294294295295295295295295295295295295295295296295295295295295294294294294293293293293293292292291292292292292292292292292292292292292292291291291292291291291291291291291291291291291291291291292292291291291291291291291290290290290290289288288288288288288288289289289289289289289289289289289289288289288288288288288288288287287287287287287287288288288288288288288288288288288288288288287287287287286286286286286286286286286286286286286286287287287287287287287288288287287287287287287287287287287288288288288288287287287287287287287287287287286287287287287287287287287287287287287286286286287287287287286287286287286286286286286286285285285285285285285285285285285285286286286286287287287287287288288288288288288288288288288288288288288288288288288288288287287287287287288288288288288288288288288288288288288288287288287288288288288288288288288288288288288287287287286286286286286286286286286286286286286286286286286286286286286286286286286285285285285285285285285285285285285284284285285284284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286999999999999999999999999999287287999999294295295295999297294292290290292291290290290291292291291292293292292292291289288283281282283283282279281283284287289290292293295296297297297298298297296294999999999999999999999999999999295296294294296296297298299300300300301300299299299299298298298298298297297297296296296296296296296295295294294294294294294294294294294294294294294294295295295294294294295295295295295295295295295295294294294294295295296296296295294294294294294295295295296296296296296296296296296296295295295296295295295296296296296295295295295295295295295295295295295295294295295295295295296296296297297298298297298298298298298297297297297297296296296296297297298298297298297297297297297296296296296296296296296296296296297297297296297297296296296297297297297297297297297298298298298298298298298298299299299298298299298298298299299298298299299299298297297297297296296296296296296296296296296296296296296296296296296296296296296296295295295295295294295295294294294294294294294295294295295296296296296296296296296296296296296296296295295295295294294294294293293293293293292292292291291291291292291291291291291291291291291291291291291291290290290290290291291291291291291291291291291291291291291291291291291290290290289289288288288288288288289289289289289289289289289289289289289289289289288288288288288288288288288287287288288288288288288288288288288288288288288288287287287286287286286286286286287286286287287286287287287287287287287287287288288287287287287287287287287287287288288288288288287287287287286287287287287287287287287287287287287287287287286287287287286286286287287287286286287287286286286286286286286286286286286286286286286286286286286287286287287287287287288288288288288288288288288288288288288288288288288287288288288288287288288288288288288288288288288288288288288288288287287287287287287288288288288288288288288288287287287286286286286286286286286286286286286286286286286286286286286286286286286286286285285285285285285285285285285285285284284285285284284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292290999999999999999999999291288999999291291292292292292293292291291291291291291291292293292293292292292292292292292289287283282282282282282282286288289291293293294295296297297297298299299299298296293999999999999999999999999295296296295295296296298298300300300300300300299299299298298297298298297297296296296296296296296296296295295294294294294294294294294294294294294294294294294295294295294294294295295295295295295294294294294294294294295295296296295295295295295295295295295295295296296296296296296296296296295295295295295295296296296296296295295295295294294295295295295295295295294295295295295295295295295296296297297297297298297297297297297297297296296296296296296297297298297297297297297297296296296296296296296296296296296296296297296296297297297297297297297297298297298297297298298298298298298298298299299299299299298298298298299298299299298299299299298298297296297297297297297296297297297297297297297297297297297297296296296296296296295295295295295294294294294294294294294294294294294295296296296296295296295296295296295296296296295295295295294294294294293293293293293293292292291291291291291291291291291291291291291290291291291291290290290290290290290290290290291291291291291291291291291291291291291291291291290290290289288288288288288288289289289289289289289289289289289289289289289289289289289288288288288288288287288288288288288288288288288288288288288288288288287287287287286286286287287286286286287286286287287287287287287287287287287288287287287287287287287287287287288288288288288288288287287287287287287287287287287287287287287287287287287287287287287287287286287287287287287286287286286286286286286286286286286286286286286286286286286286286287287287287287287287288288288289289289288288288288288287288287288288288288288288288288288288288288288288288288288288288288288288288288288288287287288287288288288288288288288288288288287287286286286286286286286286286286286286286286286286286286286286286286286286286286286286286285285285285285285285285285285285285284284285285284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292291290999999999292290288293288286288288289290291291290291291292293294293294294294294294293294293293292292292291291289287285285284285287286287289291292294295295296296297298298298299300300299299298296999999999999999999999294294296296296295296296297299299300300300300300299299299298298297297297297297296296296296296296296295295295294294294294294294294294294293293294294294294294294294294295295295294295295295295295295294294294294294294294295295295295295295295295295295295295295296295295296296296296296296296296295296296296295295296296296296296295295295295295294295295295295295295295294294295295295295295295295296296296297297297297297297297297297297296296296296296296296296297298298297297297297297297296296296296296297296296296296296296296296296296296297297297297297298298297297297297298298298298299299298298299299299299299299299299299299298299298298298299299299298298297297297297297297297297298298298298298297298298298297297297297296296296296295295295295295294294294294294295295295294294295295295296296296295296296296296296296296296296296295295295295295294294294293293293293293293292292292291291291291291291291291291291290290290290290291291290290290290290290290290290290291291291291291291291291291291291291291291291291290290290289288288288288288289289289289289289289289289289289289289289289289289289288289288288288288288288288288287288288288288288288288288288288288288287287287287287287286286287287287287287286287287287287287287287287287287287287287287287287287287287287287287287288288288288288288288288287287287287287287287287287287287287287287287287287287287287287287287286287287287287286287286286286286287287286287287286287287287287286286286287287287287287287287287287287288288288288289289289289289289288288288288288288288288288288288288288288288288288289288288288288288288288288288288288288288288287288288288288288288288288288288288288287287287286286286286286286286286286286286286286286286286286286286286286286286286286287286286286286285285285285285285285285285285285285285285284285284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295295294292295999999295290288286286286287287288289290291292293294295296296297296296296296296295295294294293292292291291289287287286287288289290291291293294295296296296297298298298299300300300300300299297295293999999999999294295294295296296295296296297298299299300300300300299298298298297297297297297297296296296296296296295295295294294294294293294294294294294294294294294294294294293293293294294294295295295295295295295295294295294294295294295295295295295295295295295295295295296295295296296296296296296296296296296296296295295295296296296296295296295295295295295295295295295295294294294294295294294295295295295295295295296296297297297296296296296297297296296296296296296296297297298297297297297297297296296296296296296296296296296296296296296296296296296296296297297298297297297297297298298298298299299299299300300300299299299299299299299299298299299299299299299298298298298298298298298298298298298299298298298298298297298297297297297296296296295295295295295294294294294294294295294295295295295295295296295296296296296296296296296296296296295295295295295295294294294293293293293293292292291291291291291291291291291291290290290290290290290290290290290290290290289290290290290290291290290290290290290291291291291291291291291290290289288288288288288289289289289288288289289289289289289289289289289288289288288288288288288288288288288287288288288288288288288288288288288287287287287287287287286286287286287287287287287287287287287287287287287287287287287287287287287286287287287287287287288288288288288288287287287287287287287287287287287287287287288287287287287286287287287287287287287287287287286287287287287286287287287287287287287287287287287287287287287287287287287287288288288288288288288289289289289288288288288288288288288288288288288288288288288288289288288288288288288288288288288288288288288288288288288288288288288288288288288288288288287287286286286286286286286286286286286286286286286286286286286286286286286286286286286286286286286286285285285285285285285285285285285285285285285284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297296292292999999999288288287287287288289290291291292293294296297297298298298298297297297297296295296295294293292291290288288288288290290291292293294295296297297297298299298299299300300301301301301299298296295999999999294295294295296295295296297297298299299299300300299298298298298297297297297297296296296296296296296295295294294294294294294294295295295295295295294294294294294294293294294294294295295295296295295295295295294294295294295295296295295295295295295295295295295296296296295295296296296296296296296296296295295295296296296296296295295295295295295295295295295295294294294294294295294294294295295295295295295296296296296296296296297296297297297297296296296295296297297298298298297297297296297296296296296297296296296296296296296296295296296296297297297297297297297297297298298298298298299299299299299300300300300299299299299299299299298299299299299299298298299298298298298298298299299299298298298298298298298298297298297297296296296296295295295295295294294294294294295295295295295295295296296295296296296296296296296296296296296296296295295295294294294293293293293293293293292292291291291291291291291291290290290290290290290290290290290290290290290290290290290290290290290290290290290290290290290290291291291290290290289288288289289289289289289288288288288288288289289289289289288288288288288288288288288288288288288288287287288288288288288288288288288288287287287287287287287286286286287287287287287287287287287287287288288287287287287287287287287287286287287287287287288288288288288288288287287287287287287287287287287287287287287288288287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287288288288288288288288289289289289289288288288288288287288288288288288288288288288289289289288288288288288288288288288288288288288288288288288287288288288288288288288288288288287287287286286286286286286286286286286286286286286286286286286286286286286286286286286286286286286286286286286286286285285285285286286286285285285285284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297296292999287286286288289289289289291292292292292293295296297298299299299298299298298297297297296297296295294294293292292291291291291291292293294295296297297298298299299299299300300301301302302302301300298298297999999294294294296296296295296296298298299299300300300299299299298298298298297297297297296296296296296295295295295294294294294294295295295295295295295295295294294294294294294294294294294295295295295295295295294294294294295295295295295295296295295295295295295295296296295295295296296296296296296296295296295295295296296296296295295295295295295295295295295295294294294294294294294294294295295295295295295295295295295296296296297297297297297297297296296296295296296297297298298298297297297296296296296296296296296296295295295295296296296296296296297297297297297297298297298298298298299299299298299299300300300299299299299299299299299299298298299299298298298298298298298298298298299298298298298298298298298298297298298298297297296296296296295295295295295294294294295295295295295295296295296296296296296296296296296296296296296296295295295295294294294294293293293293293293293292291291291291291291291290290290290290290290289289290290290290290290290290290290289289290290290290290290290290290290290290290291291291290290289289288288288288288289289289288288288288288288289288289289289288288288288288288288288288288288288287288287287287288288288288288288288288288288287287287287287287287287287287287287287287287287287287287287287287288287287287287287287287287287286286287287287288288288288288288288287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287286287287287287287287287287287287287287287287287287287287287287287287288288288288288288288289289289289288289288288288288287287287288288288288288288289289289289289289288289288288288288288288288288288288288288288288288288288288288288288288288288288287287286286286286286286286286286286286286286286286286286286286286286286286286286286286287287286286286286286286286286286286286286286286285285286286285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291999999294294295296295291290289287286288289289289290292292292293294295296298299300299299300299299298298297297297297297296296296295295294294294294293293293293294295295296297298298299299299299300300300301301301302302302302301300298999999293294295296296296295295296297298298299299300300299299299299299299298298298297297296296296296296295295295295294294294294295295295295296295295295295295295294294294294294294294294294294295295295295295295295295294295295295296296296296296295295295295295296296296296296296295296296296296296296296295295295295296295296296296295295295295295295295295295294294294294294294294294295295294295295294294295295295295295296296297297297298298298298297297297297296296296296296298298298298297297297296296296296296296296296296296296295296296296296296296296297297297297297297297297298298298298298298298298298299300300299299299300300300299298299299299299299298298298298298298298298298298299298298298298298298298298297298298297298298297297297296296296296295295295295295295295295295295295295295295296296296296296296296296296296296296296296296296295295294294294294294293293293293293293293292291291291291291291291291290290290290290290289289290290290290290290290290290290290290289290290289290290290290290290290290290291291291291290290289289289289288289289289289289288288288288288288288289289288288288288288288288288288288288288288288288287287287288288288288288288288288288288288287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287288288288288288288288288287287287287287287287287287287287287287287287287287287287287288288288288288287287288288288288287287286287287287287287287287287287287287287288288288288288287287288288288288288289289288288288288288288288288288288288288287287287287288288288288288288288288288289289289288288288288288288288288288288288288288288288288288288288288288288288288288288287286286286286286286286286286286286286286286286286286286286286286286287287287287287287287286286286286286286286286286286286286286286286286285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294291999292294296295294293291289288287289289289290292293293293294295296298299300300300300300299299298297297297297297297296296295295295295295295294295295295295296296296297298298298298299300300300300300300301301301302302302302300299999999293294295296296296295295296297297298298299299299299299299299299299298299298298298297296296296295295295295295294295294294294295295295295295295295295295295294294294294294294294294294294295295295296296296296295295295295295296295296296295295295296295295296296296296296296296296296296296296295295295295295295295295296296295295295295295295295295295295294294294294295294295295294294295294294294295295296295296296297297298298298299298298298297297297297297296296296296297297298298298297297297296296296296295296296296295296296296296296296296296296297297297297297297298298298298298298298299298298298299299299299300300300300299299299299299299299299299299299299298298298299299299298298298298298299298298298298298297297297297297297296296296296296296295295295295295295295295295295296296296296296296295296296296296296296296296296296296296295295294294294294294293293293293293293293292292291291291291291291290290290290290290290290290290290290290290290290290290290290289290289290290290290290290290290290290290290291291291290289289289288289288289289289289288288288288288288288288288288288288288288288288288288288288288288288288287287288287288288288288288287288288288288288287287287287287287287287287287287287287287287287287287287287287287287288287287287287287287287287287287287288288288288288288288287287287287287287286287287287287287287287287287287287288288288288288288288288288287288288289289287287286287287287287287287287287287287287288288288288288288288288288288288288289289289289289288288288288288288288288288288288288288288288288288288288288288288288288289289288288288288288288288288288288288288288288288288288288288288288289289288288288287287286286286286286286286286286286286286286286286287287287287287287287287287287287287287287287286286286286286286286286287287286286286286286286285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299296297298296297294294293292290290290290290290291293293293294295296297298299299300301299299298297296296297296296296296295295295295295295295295295295295296296296296296297298298298298299299299299300300300300300301302302302302301299293294293295296296297297296296296297297297297298299299299299299299299299299299299299298298297297296296295295295295295295295294295295295295295295295295295295295294294294294294294294294294294295295296295296296296295295295295295296296295296295295295296295295296296296296295296296296296296296295295295295294295295295295295295295295295295295295295295295294294294294294295294294294294294294294295295295296296296297298298298298298298298298298298298298297297297296296296296296297298297297297297297296296296296296296296296296296296296296297297296296296296296297297297297298297298298298298298298298298299299299300300300300300300299299299299299299299299299299299298298298299299299299298298298298298298298298298297297297297297297297297297296296296296295295295295295295295296296295295296295295295295295295296296296296296296296296296296295295295294294294294294294293293293292292293292292292291291291291291290290290290290290290290290290290290290290290290290290290290290290290289290290290290290290290290290290290291291291291290290289289289288289289289289289288288288288288288288288288288288288288288288288288288288288288288288288287288288288288288288288288288288287288287287287288288288287287287287287287287287287287287287287288288288287287287287287287287287287287287287287287288288288288288288288288287287287287287287287287288287287287287287287287288288288287288288288289289289289288288288289288287287287287287287287287287287287287287287287288288288288288288288288288288288288289289289289288288288288288288288289288288287288288288288288288288288288288288288288288288288288288288288288288288288288288289288288288288288288288289289289288288288288288287287286286286286286286286286286286286286287287287287287287287287287287287287287287287287287287286286286286286286286287286286287286286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301299300299298299298297295294294293293291291291291291291292293292292294295297299299300301300299299297297296296295295296296295295294294294295295295295295295296296296296296296297298298298298298298298298299299299300300300300300301301301300299297296296296296297297297296296297297297297298298299298299299299299299299299299299299298298297297297296295295295295295295295295295295295295295295295295295295294294294295294294294294294294294294295296296296296296296295295295295296296295295296295295295295295296296296296295296296296296296295295295295295294295295295295295295295295295295295295295295295295295295295295295295295295294294295296296297297297297298298298298299299299298298299299299299298298298297297296296296296297297297297297297297297297296296296296296296296296296296296297297296296296296297297297296297298298298298298298298298298299299299300300300300300300300299299299299299299299299299299299299298299299299299298298298298298298298298298298298298297297297297297296296296296296296296296296295295295295295296296296296295296295295296296296296296296296296296296296296295295294294294294294294293293293293292292293293292292291291291291291291290291291290290290290290290290290290290290290290290290290290290290290290290290290290290290290290290290290291291290290289289289288288288289289289289288288288288288288288288288287288288288288288288288288288288288288288288288288288288288288288288288288287287287287287287287288288288288288288288288288288288287288288288288288288288287287287287287287287287287287287287287287288288288288288288288287287287287287287287287287288287287287287287288288288288288288288288289288288288288288288288288287287287287287287288287287287287287287287287288288288288288288288288288289289289289289289289288288288288288288288288288288287287288288288288288288289288288288288288288288288288288288288288288288288288288288288288288288288288288288289289289289288288288287287286286286286286286286286286286286286287287287287287287287287287287287287287287287287287287286286286286286286286286287286286286286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292999999299300999999303302301301300300300300299297297295294294294293293292293293292292292292293293295297298299300300300299298297296295295295295295295295295294294294294294294295295295295296296296296297297297298299298298298298298297298299299299299299300299299299299298298298296296297296297297297296296296297297297297298299299298299299299299299299299299298298298298298297297296296295295295295295295295295295295295295295295295295295295294294295294294294294294294294295296296296296296296296296295295295295295295295296295295295295296296296296295296296296296295295295295295295295296295296295295295295295295295295295295295295295295295295295295295295295295296296297297297297298298298298298298299299298298298299299299299298298298297297297296296295296297297297297297297297297296296296296296297297296296297297297297296297296296296296297297297297297297298298298298298298299299299300299299300299299299299299299299299299299299299299299299299299299299299299299299299298298298298298298297297297297297297296296296296296296295296296296295295296296295296296296296296296296296296296296296296296296296296296296295295295295295294294294294294293293293293293293292292292291291291290290290290291291291290290290290290290290290290290290290290290290290290290290290290290290290290290290290290290291290290290289289289289288288289289289289289288288288288288288288288288288288288288288288288287287287287287288288288288288288288288288289288288288288288287288287287287287288288288288288288288288288288288288288288288288288288288288288288288288287287287287287287287288288288288288288288288288287287287287287287287287288288288288288288288288288288288288289289289288288288288288288288288288288288287287287287287287287287287287287288288288288288288288288288289289289289289289289289288288288288288288288289288287287287287287288288288289289289289288289288288288288288288288288288288288288288288289289288288288288288288289289289289289288288288288287287286286286286286286286286286286286287286287287287287287287287288287287287287287287287287287286286286286286286286286287286286286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297999299294999296999999999999999999300999999999999999999999999999999999999999999999999999999999999999295299303300299301301299299299999299300300300298296296294293292293293294294294293293292292292293294296298299299300299299298297296294293293294294295295295295294294294294294294295295296296296296297296297297298298298298298298298298298298299299299299299299299298298298297297297297297297297297298297297296296297297297297298299299299299300299300299299299299299298298298298298297297296296295295296295296295295295295295295295295295295295295295295294294294294294294294295295296296296296296296296296296296295296295295295296295295295295295296296295295296296296296296296295295295295296295295295295295295295295295295295295295295295295295296296296296296296296296297297298297298298298298298298299298298298298298298299299299299298298298298297297296296295296296297297297297298298297297296296296296296296297297297298298297297297296296296297297297297297297297297297298298299299299299299299300300300299300300299299299299299299299299299299299299299299299299299299299299299299298298298298298297297297297297296296296296296296296296296296296296296296296296296296296296296296296296296296296296295296296296296296295296296295295295294294294294294294293293293293293293292292292291291290290290290291291291290290290290290290290290290290290290290290290290290290290290290290290290290290290290290290290290290290289289289289289289289289289289289288288288288288288288288288288288288288288288287287287287287287287288288288288289289289289289289289288288288288288288287288288287288288288288288288288288288288288288288288288288288288288288288288288288288288288288287288288288288288288288288288288288287287287287287287287288288288288288288288288288288288289289289289288288288288288288288288288288288287287288288287287287287287287287287288288288288288288288288289289289289289289289289289288289289289289289288288288288288287288287288288289289289289289289289288288288288288288288288288288288288288288288288288288288288289289289289289289288288288288288287287286286286286286286286286286286287286287287287287287288288288288288288288288288288287287287287287286286286286286287286286286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301301298298298298297298299298300999999999999297999999999999999999999999999999999999999999999999999999999296294296297298298299300299298299299300299299297296296295293292292293295295294295294294293293293294296298298299298298298297296296295294293294294294295295295295294294293293294295295296296296296296296296296297298297297297297297297298298298298298298298298298298298298297297297297297297297297297297298297296296297297297297298299299299299300300300300299299298299299298298298298298297297296296295295296296296296296296295295295295295295295295295295295294295295294295294295295295296296297297297297297297296295295295295295295295295295295295296296295295296296296296296296295295295295296296295295295295295295295295295295295295295295295296296296296296296297297297298298298298298298298298299299299299298298299299299299299299299299298298298298297297296296296296296297297298298297296296297297297297296297298298298298298298298297297297297297297297297297297297297298297298298299299299299299300300300300300300299299299299299299299299299299299299299299299299299299299299300299299298298298297297297297297297296296296296296296296296296296296296296295296295296296296296296296296296296296296296296296296296296296296296296296295295295294294294294294293294293293293293293292292291291291291290290291291291291291291290290290290290290290291290290290290290290290290290290290290290291290290290291290291290290290289289289289289289289289289289289288288288288288288287288288288288288288288288287287287287287288288288288289289289289289289289289289289289288288288287288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288287288288287287287287287288287288287287287288288289289290290290289289288288288288288288287287288288288288287288287287287287287287288288288288288288288288288288289289289289289289289289289289289289289289289288288288288287287287287288288288289289289289289289289288289288288288288288288288288288288288288288288288288289289289289289289289288288288288288287287287286286286286286286286286286286287287287287287287288288288288288288288288288288288287287287287287287286287287286286286286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303303303302300300299299298299300301299999999303301299300297297999999999999999999999999999999999299300301298298297296296296296297298297299299299300299300299297296296295295293293295295296295295295295295295295296297298298299299298297297296295295294294294294294294294294294294294293293293294295296296296296296296296296296297297297296296296296297298298297298298298298298298298297297297297297297297297298298297298297297296296296297297298298299299299299300300300300299299299299299298298298298298298297297296296296296296296296296296296296295296295295295295295295295295295295295295295295295296296297296297297297297297296296295295295295296296295295295295296296296296296296296296296296296295295295296296295295295295295295296295296296295296295295295295295296296296297297297298298298298298298299298298299299299298298299299299299299299299298299299298298298298297296296296296296297297297297298297297297298298298298297298298298298298298298297297297296296297297297297297297297298298298299299299299299300300300300300299299299299299299299299299299299299299299299299299299299299299300299300299298298298298297297297297296296296296296296296295296296296296296295296296296296296296296296296296296296296296296296296296296296296296296296296296295295295294294294293293293293293293293293293292292291291291291291291291291291291290290290290290290291290290290290290291291290290290290290290290290290291291291290290290290290289289289289289289289289289289289289289288288288288287287288288288288288287287287287287287288287288288288288289289289289289289289289289289289288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288287287287287287287288288288289289289289290290289289289288288288288287287287287288288288288288287288287287287288288288288288288288288288288288288288288288288289289290289289288289289289288288288288287288287287287288288288288288289289289289289289289288289288288288288288288289289289288288288288288289289289289289289289289289288288288288287287287286286286286286286286286286286287287287288288288287288288288288288288288288288287287287287287287287287287286286286286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305304302303302303303301301300300301302303301301302302301301299296295999999999999999999999999300300298297297298299298297297296295295297297297299299299299299298297295294295294294294295295296296296295295296296296296297298298298298298296296295295294294294294294294295294293293293293294293293294294295296296296296296296296296296297297295294295295295297297298297297298297298298297297297297297297297297297298298298298297297297296296296297297298299299299299299300300300300299299299299298298298298298297298298297297297297296296296296296296296296295295296296296296295295295295295295295295295295296296296297297297297297297297297296295295295295296295295295295295296296296296296296296296296296296295296296296296295295295295295295296296296296296295295295295295296296296297297297297298297298298298299298298298299299299299299299299299299299299299299299299298298298298298297296296295296296297298298297297297297298298298298298298298298298298298297297297296296297297297297297297297298298298298299299299299299300300300300300299299299299299299299299299299299300299299299299299300300300300300300299299299299299298297297297296296296296296296296296296296296296296296296296296296296296296296296296295295295295296296296296296296296296296296296296295296295296295294294294293293293293293293293293292292292291291291291291291291291291291290290290290290290290291291290291290290290291291291290291290290290290290290290290290290290289289289289289289289289289289289289289289288288288288288288288288288288287287287287287287287288288288289289289289289289289289289289289289289288288288288288288288288288288289288289289289288288288288288288288288289289289289288288288289288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288289289290290290289289289289288288288288288287287288287287288287288287288288288287287288288288288288288288288288288288288288288289289289289289288289288289289288288288287287287288288288288288288289288289289288288288289289289288289288289289289289289289289288288289289289289289290289289289289289289289288288288287287286286286286286286286286286286286287287287288287287288288288288288288288288288288287287287287287287287286286286286286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301301301301303302303304304302301302302302303302303303303303301300298295999999999999999999999999302300298298298297298297296296296296296296297297298298298298298297296295294295295295296296297296296297296295296296296296297297298298298297296295294294293294294294294294294294293292292293293293294293293294294296296296296296296296296296297296295295294294295296296298297297297297297297297297297297297297297297297297298298297297297296296296296297298299299299299300299299300300300300299299299299298298298298298298298297297297297297296296296296296296295296296296296296296296296295296295295295295295295296297297297297297298297297297297296296296295295296296295295296296296296296296296296296296296296296296296296296296296295295296295296295295296295295295295295296296296296296297297297297297297298298298298299298298298298299299299299299299299299299299299299299298298298298298298297296296296297298297298297298298297298298298298298298298298298298298298297296297297297297297298298298298299298298299299299299300300300300300300300299299299299300299299299300300300300300300299300300300299300300300300300300299298299298298297296296296296296296296296296296296296296296296296296296296296296296296296295295295296296296296297296296296296296296296295295295295295296296295294294294293293293293294294293293293292291291291291291291291291291291291291290290290290291291291291291291291291291291291291291291291290291290290290290290290290289289289289290289290290289289289289289289288288288288288288287287288288287287287287287287288288288289289289289290289289290289289289289289289289289288288288289288289289289289289289289289289289289289289289289289289289289289289289289289289289288288288288288288288288288288288288289289289289288288288288288288288288288288288288289289289289290290290290290289289289288288288288287287287288287287287287287287288288287287288288288288288288288288288288288288288288288289289289289289288289289289289288288288288287287288288288288289288288288288288288288288288289289288288288289289289289289289289289289289289289290290290290290290289289289289288288288288287287286286286286286286286286286286287287287288288288288288288288288288288288288288288288287287287287287287286286286286286286286287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302302302302302303303303301301302302301303302303303304303301299297999999999999999999999300999300297297297297297296296295295295295296296298298298298298297297297296295295296297296297297297296296296297297297297297298298298298299297296295294293293293293293292292292292292291292292292292293294294294294295295295295296296296295296296296295294294295294294295296297297296297297297297297297297297297296296297298298298298298297297297297297296296298299300300299300299300300300300300300299299299298298298298298298298297297297297297296296296296296296295295295296296296296296296296296295295295295295295296297297297297297298297297297297296296296296296296296295295296296296296296297297296297297296296296296296296296296296295295295296296295295295295295295295296296297297297297297297297297297297297298298298298298298299299299299299299299299299300299299299299299299298299298299298297297296296297298298298298298298297298298298298298298298298298298298297298297297298298298298298298299299298299299299299299300300300300300300300300300299299299300299299299300300300300300300300300300300300299300300300300300300299299299298297297296296296296296296296296296296296296296296296296296296297296296296296295295296296296296296296296296296296296296296296296296295295295296296295294294294293293294294294294293293292291291291291291291291291291291291291291291290291291291291291291291291291291291291291291291291291291290290290290290290290290290290290290290290289289289289289289289288288288288288288287287287287287287287287287288288288289289290290290290290290290290289289289289289289289289288288288288289289289289289289289289289289289289289289289289289289289289288289289289289289288288288288288288288288288288288289289289289288288288288288288288288288288289289289289289289289290290290289289289289289289288288288288288288287287287287287288288288287288288287287288288288288288288288288288288288288289289289289289288288288288289289288288288288287288288288288289288288288288288288288288288288288289288288289289289289289289289289289289289289289289290290290290290289289289289289289289288287287287287287287287286287287286286287288288288288288288288288288288288288288288288288287287287287287287286286286286286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303301301300301303303304303302303302302301301303302302304303302300299999999999999999999999999299298297296296295296295295295295295296297297298298299298297297296295295295295297297297297297297297297297298298298297298298298298298297296295294293293292292291291290289290291292292292292292292293294294294294294295295296296296296296296296296295294294294294294295296297297296297297297297297297296296297297297297298298298298298297297297297297297296298299300300300300300300300300300300299299300299299298298298298298298298297297297297297297296296296296296296296296296296296296296296296295295295296296296296297297298297297297297297297297296296296296296296295295295295296296296296296297297297296296296296296297296296296296295295296295296295295294294294295296297296297298298297297297297298297298298298298299298299298299299299299299299299299299299299299299299299299298298298299298298296296296297298298299298298298298298298298298298298298298297298298298298298298298298299299299299299299299299299299299299299300300300300299300300299299299299299299299299299299299300300300300300300300300300300300300300300300299299299298297297296296296296296296296296296296296296296296296296297297296296296296296295296296296296296296296296296296296296296296296295295296295295295296295295294294294294294294294294293293292292291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291290290290290290290290290290290290289289289289289289289289289289288288288288288288288288288288288288288288288289289289290290290290290290290290289289289289289289289289289288288288289289289289289289289289289289289290290290290289289289289289289289289289289289289288288288288288288288288288289289289289289288288288288288288288288288289289289289289289289290290290290290289289289289289288288288288288288287287287287288288288288288288288288288288287287288288288288288288288288288289289289289289288289289288289288288288288288288288288288288288288288288288288288288288288288288288289289289289289289289289289289289289289290290290290290290290289290290290290290289289289288287287287287287287287287287286286287288288288288288288288288288288288288288288287287287287287287286286286286286286286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304999304304303302301301302303303303304304303302302301302302303303305305303302300999999999999999298301301298297296296295295295295295295295295296297298300300300299298297296295295295295297297297296297297298299299299298299299298298298298298297296295293292291291290290290291291292293294294294294293293293293294294295295295295296296296296296296296296295294294293294295296297297297296297297297297296296296296297297297297298298298298298298298297297297296297298300300300300300300300300300300300300300300299299298298298298298298298298298297297297297297297296296296296296296296296296296296296296296296296297296296297297298298297298298297297297296296297297297297296296296296296296296297297297297297297296296296297297296296296296295295295296295295294294294294295296297297297298298298297298298297297298298298298298299299299299299299299299299299299299299299299299299299299298298298298298298297296296296297298298298298298298298298298298298298298298298298298298299299299298299299299299299299299299299299299299299300300300300300299300300300300299300299299299299299299299300300300300300300300300300300300300300300300299299299299298298298297297296296296296296296296296296296296296297297296297296296296296296296296296296296296296296296296296296296296296296296295295295295295296296296295295294294294294294295295294293292292292292291291291291291291291291291291291291291291291292291292292291292291291291291291291291291291291291291290290290290290290290290290290290289289289289289289289288288288288288288288288288288288288288288288289289289290290290290290290290290290289289289289289289289289289289289289289289289289289289289289289289290290290290289289289289289289289289289289288289288288288288288288288288288289289289289288289289288288289288288288288288289289289289289289290290290290290289289289289289289289288288288288288288288288288287287288288288288288288288288288288288288288288288288288288289289289289289289289289289289289289289288288288288288289289289289289288288288288289289289289289289289289289289289289289289289289289289289289289289290290290290289289289289289289289289289288288287287286286286286286286286286286287287288288288288288288288288288287288288287287287287287287286286286286286286286286286286286285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303305303303304304305302303302303303303303304303303303303302303302303305305305304301300999999999999999297300300298297297296296296296296295295295295296297299300301300300298297295295295296297296296296297297298299300299300300300299299299298298298297296294293292291291290290292293294294295296296296296294293293294294295295295295295295295296296296296296296296295295294295296297297297297296296296297296296296296297297296297297298298298299298299298298297297296297299300301301300300300300300300300300300300300299299299298298298298298298298298298298297297297297297296296296296296296296296296296296296296296296296296296297297298298297298298298297296296296297297297297296295296296296296296297297297297297297297297297297296296296296296295296296296295295295295295296296296297297297298298298297297298298298298298298298298298299299299300299299300299300300299300299299299299299299298298298299298298297296296296297298298298298298298298298298298298298298298298298299299299299299299299299300300300300299299299300300300300300300300300300300300300300300299299299300300299300300300299299300300300300300300300300300300299299300299299299299298298298297297296296296296296296296296296296297296297297296296296296296296296296296296296296296296296296296296296296296296296295295295295295295296296296296295295294295295295295295295294293292292292291291291291292291291291291291291291291291291292292292292292292292292292291291291291291291291291291291291291290290290290290290290290290290289289289289288289288289288288288288288288288288288288289289289289290290290290290290290290289289289289289289289289289289289289289289289289289289289289289289290290290291290290289289289289289289289288289289289288288288288288288288288288288289288289289289289289289289289289289289288289289289289289289290290290290290290289289289289289289289289289288288288288288288288288288288288288288288288288288288288288288288289288288289289289289289289289289289289289289289289289288288288288288288289289289289288288288289288288288289288288289289289289289289289289289289289289289289289289289290290290289289290289289289289289288288288287287287286286286286286286286286286287288288288288288288288288288288288288287287287287286286286286286286286286286286286286286285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301304303303303305304303303304304303303303303304303304304304304304304303305305304305303301299999999999999999999300300298296296296296296296296295294295296296299300300300300299296295296296296296296296296298299300300300300300301300300300299298298298297295294293292293292292293293294295296297297297297297297298293295295295296296296296297296297296296296297297297297296296297297297297297297296296297297297296296297297297297297298298298299299299299299298297296295297299300301301301300300300300300300300299299300299299299298298299299299298298298298298298297297297297296296296296295296296296296296296296296296297296296296296296297298298298298298297297297297297297297297296296296296296296296296297297297297297297297297296296296296296295295296296295295295295295295296296297297297297297297297297298298298298298298298298298299299299299299300300300299300300300300299299299299299298299298299299299298298297296297298298298298299299298299298298298298298298298298298298299300299299299299299299300300300300300300300300300300300300300300300301300300300300299299300300300300300300300300300299300300300300300300299300299299300300299299299299299298298297297296296296296296296296296297296297297297296296296296296296296296296296296296296296296296296296296296296296296296295295295295295295296295296296295295295295295295295295295295294293292292292292291291291291291291291291291291291291291291292292292292292292292292292291291291291291291291291291290290290290291291291290290290290290290289289289289289289289288288288288288288289288288289289289289290290290290290290290290290289289289289289289289289289289289289289290289289289290290290290290290291291290290290290289289289289289289289289289288288288288288288288288288288288289289289289289289290290289289289289289289289289289289290290290290290291290290290290290289289289289289289289289288289288288288288288288288288288288288288288288288288288288288288288288288289289289289289289288289289289289289288288288288288288288288288288288289288288288289289289289289289289289289289289289289289289289289289289289289289289290290289289289289289289289289288289288288287287286286286286286286286286286287288288288288288287288288288288288288288287287287287287286286286286286286286286286286286286285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302306304304304304304303304303303303303304304304304304304305304305305304305306305305304302299999999999999999301300299297296296295296296297296296295295296297299300300299299298297296295296295295295296298299300300300300300300300300300299299298297297296294294293292292292293294294296296297298298298298297298298296297297296297297298298298298298297297298298298299299298298298297297298297296297296297297297297297297297297297297297298299299300300299299300299298297298299300301301301301301301300300300300300300300299300299299299299299299299298298298298298298297297297297296296296296296296296297296296296297296296296296296297297297297298298298297297297297297297297297297296296296296296296296296296297298298297297297297297297296296296296296295295296295295295295296297297297297297298297297297297297297297297297298298298298299299299300300300300300300300300299300299299299299299299298298299299299299298297296297298298298298298299298298298298298298298298298299298299299299299300300300300300300300300300300300300300300300300300300300300300300300300299300299299300300300300300300300299299299300299301300300300299299299299299299299299300299299298297297297297297297296296296296296297297297297296296296296296296296296296296296296296296296296296295296296296296296295296295295295295295296296296296296295295295295295295295295295294293292292292292291291292291291291291291292292292292292292292292292292292292292292292292292292291291291291291291291291291291291291291291291290291290290290290290289289289289289289289289288289289289288289289289290290290290290290290290290290290290289289289289289289289289289289290290290290290290290291290291291291291291291291290290290290289289289289289289288289289288288288288288288289289289289289289289289290290290289289290290289289290289289289290290290290290290290290289289289289289289289288288288288288288288288288288288288288288288288288288288288288288288288288288289288289289289288288289288289289289289289288288288288288288288288288288288288288288288288288288289289289289289289289289289289289289289289289289289289289289290290289289289289289289289289288288288288287287286286286286286286286286286287287288288288288288287287288288288287287287287287287287287287286286286286286286286286286286285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305306307306304303304304304304304304304304304304305305305305305305305306306306305305306305302300999999999999999999999298296294294294295295297298297296296296298299300300299299298297296296296296295296298299300301300300301300300300300299298298298298296295294293293292293293294294295296297298298298298298298298298298298297297297297298298298299298298299299299299299299299298298298297297297297296296297297297297297297298297297297297298298299300300300300300300299298298299301301302302302301301301300300300300300300300300300300299299299299299299299299299298298298297298297297296296297296297297297297297297297296297296297297297297298298298298298298297298298298297297297297297296296297296296296296296297297298298298297297297297297296296296296296295295295295295296296297297297298298298298298297297297297297298297298298298299299299299300300300300300300300300299299300299299299299299298298299299299298298297297297297298298298298299298298298298298298298298298299298299299300300301300300300300300300300300300301301301300300300299299300300300300300299299299299299300299299300300300300300300300299300300300300300299299298298298298299299299299299298297297297297297296296296297297296296297297296296296296296296296296296296296296296296296296296296296295296296296296295296295295295295295295296296296296295295295295295296295295294294293292292292292292292292292292292292292292292292292292292292292292292293292292292292292292292292292292292292292292292292292292292292291291292291291291291291291290290290290290290289289289289289289289289290290290290290290291290290290289289289290290289289289289289289289289290290290290290290290291290290290290290291291291291290291290290289289289289288288288288288288288288288288288289289288289289289289289290290290289290290290290290290289290290290290290290290290290290289289289289289289289289288288288288288288288288288288288288288288288288288288288288288288288288288288289289289289288288288289289288288288288288288288288288288288288288288288288288288288288288289289289289289289289289289290289289289289289289289289289289289289289289289289289289288289288288288288288288287287286286286286286286286286287287288288288288287287287287287287287287287287287287287287287287287287287286286286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999306307306304303303304304304304304304305305304305305306306305305305305306307307306306305305304301300302999999999999999297296293293294294295296296297296296297298299300299299298298297297296296296297297299300300300300301300300300299299298298298297297295294294293293293293294294295296297298298298298299299300299299298298297297298298298298298299299299300300299299299299298298298298297297297296296296297297297297297297297297297297297298298298300300300300300300299298297300301301302301301301301300301301300300300300300299300299299299299299299299299299299298298297297297297297297297297296296296296297296297297296296296297297297297298298299299298298298298298298297297297297297297297297296296296296297297297298298298298298297297297297296296296296296296295296296297297297297298297298298298298298298298298298298298298298298299299299300300300300300300300300300300299299299299299299298298298299299299298298298297298298298298298299298298298298298298298298299298299299299300301300301301301300300301301300301301301301300300300300300300300300300300300300300300299300300300299300300300300300300300300300300300300299300299299299299299298298299299299299298297298297297296297297296297296296296296296296296297297297297297296296296296296296296296296296296296296296296296296296296296295296296296296296296296296296296296295296295295294294293293292293293292292292292292292292292292292292292292292292293293293293293293293293293293293293293293293293293293293292292292292292292291291291291291291291291290290290290290289289289289289289289289290290290290290290291291290290290290290289290290289289289288288289289289289289290290290290290290290290290290290291291291290291291291290289289289288288289288288288288288288288288288288288289289289289289289289289290290290289290290290290290290290290290290290290290290289289289289288289288288289288289288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288289289289288288288288288288288288288288288288288288288288288288289289289289289289290289289289289289289289289289289289289289289289289290290290289289289289289288288288288288288288287287287287286286286286286286287288288288288288287287287287287287287287287288287287287287287287287287287287286286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999306307305303304304304304305304304304305305305306306306305305305305305306308308307305305305303301299999999999999999296295294292292293294294296296296296297297298300300300299299299298298297296297297298300299300300300300300299299299299298298297296295294294293293293294294295296296297297298298298299300300300300300299299298298298298298298298299299299300300299299299298298298298298297297296297297296297297297297297298297298298298298298298299299300301301301301299297299301301301301301301300301301301301301301300300300300300300299299299299299299299299299298298298297297297297297297297297297297297297296297297296296296297297298298298299299298298298297297297297297297297297297297296297296296296296296297297297298297298298298297297297296296296296296296296296296297297297298298298297297297298298298298298298298298299298299299299300300300300300300299300300300299299299299299299299298298299299299299298298298297298298298298299299299298298298298298298298298298299299300300301301301301301301301301300301301301301301300300300299301301301301300300300299300299299299300299300300300300300300300300299299299299299299299299298299298298298298298299300298298298297297296296296296296296296296295296296296296297297297297296296296296296296296296296296296296296296296295296296296296296296295296296296296296296296296296296295295295294293293293293292292292292292292292292292292292292292292293292292292293293293293293293293293293293293293293293293293293293293293293293292292292292292292291291291291291290290291290290290289289289290290290290290290290290291291291291291290290290291290289289289289289289289289289289289289289289290289290290290290290290290290290290291291290290290290289289289289289288288288288288288288288288288288288289289289289289290290290290290290290290290290290290290290290290290290290289289289288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288289288288288288288288288289289289288288288288288288288288288288288289289288288288288288288288289289289289289289290289289290290289289289289289289289289289289289289289290290290289289289289289288288288288288288288287287287287287287286287287287288288288288288287287287287287287287287287287287287287288287287287287287287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305305307305304304305304305304305305304304305305306306306306306305304305306307308307306305305303301298299299999293294294293293293292294296296296296296296297298299300300299299300300298298298298298298299299299299300300300299299299299299298297296296295294293293293294295296296296297297297298298299300300300300300300300299299299298298299299299299299299299300299299299299298298298298298297297297297296297296296297297297297297297298298298298298299300300301301300300300300301302302301302301301301301301301301301301300301300300300300300299299299299299299299298298298298297297297297297297297297296297297297297297297297297297297298298298298298299298298298298297297297297297297297297297296296296296296296297297297297297298298297297297296296297296296296296296296296297297298298298298298298298298298298298298298298298298298299299299300300300300300299299299300300299299299299299299299298298298299299299298298298298297298298298298298298298298298298298298298298299299300300300301301301301301301300301301301300300300299299300300299300300300300300300300300300299299299299299299299299299300300299299299299299299299299299298298298298298298298298299299298298298298298296296296296295295295295295295296296296296297297297297296296296296296296296296296296296296296295295295296296296296295295295295295295295296296296296296295295294294293293293292292292292292292292292292292292292292292292292292293293293293293293293293293293293293293293293293293293293293293293293293293292292292292292292291291291291291291291290290290290290290290290291291291291291291291291291290290290291290290290290289289289289289289288288288289289289289289289289289289290290290290290290290291291291290290290290290289290289289288288288288288288288288288288289289289289290290290290290290290290290290290290290290290290290289289289289289289289288288288288288288288288288288288288288288288288288288288288288288288288288288288288288289288288288288288288288289289289288288288288288288288288288288288288288288288289289289288289288288288289289289289289290290290290290289289289289289289289289289289290290290290290289289289289289288288288288288288288288287287287287287287287287288288288288288288288287288287287288288288288288288288288288288288288288287287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304304304306306305305305305305304304304304304305305305306306306306306305304304305307307305305305304303301298296295293292293292292292292293295296296296296296297299299299300300299299299299299298298298299299299299299299300300299299299299299299298297296296294293293293293295295296296296297297298298299300300300300300300300300300300300299299299299299299299299299299299299299299298298298298298298297297297297296297297297297298298297298298298298298298300301300301301300301301301301301302302302302302302301301301302301302301301301300300300300300300299300300299299299298298298298297297297297297298297297297297297297297297297297297298298298297298298298298298298297297297297297297297297297297296296296296296296297297297298298298298297297297297296297296296296296296296296297298298298298299298298298298298298298297298298298298298299299300300300300300299299300299299299299299299299299299299298298299299298298298298297297297298298298298298298298298298297297297298298299299300300301300301301301301301301301300300300300301300300300300299299300300300300300299299299299299299299299300299299299299299299299299299299299299298298298298298298298298298299299298298298298298297297296296296296295295296296296296296296297297297296296297296296296296296296296296296296295295295295295295296296296295296295295295295296296296296296296295295294294293293293292292292292292292292292292292292292292292292292292293293293293293293293293293293293293294294294293294293294294294293293293293293293292292292292292291291291291291291291291291291291291290291291291291291291291291291290290290290291290290290290290289289289289289288288289289289289289289289289289290290289290290290290290290290290291290290290290290290290290289289288288288288288288288289289289289289290290290290290290291291291291291290290290290289290290289289289289289288288288288288288288289288288288288288288288288288288288288288288289288288288289289288289289288288289288288288289289289288288288288288288288288288288288288288288288288289289289288289289288288288289289289289290290290290290289289289289290289289289289289290290290290290290289289289289289289289289288288288288288288287287287287287287288288288288288288288287287287287288288288288288288288288288288288288288288287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303304304305306306305305304304305304304304304304306306306306306306306306305304304305306306306305305303302301298296294293292293294294999292293295296297297297298299299300300299299299299299299298298299299300299299299299299300300299299299299299298297297296295294294294293294295296296295296297297298299299300300300300300300300301300300300300299299300300300300300300300299299300299299299299298298298298298297296296297297296297298298298298298298298299298299301301301301301301302302302302302301302302302302302302302301302302301301301300300300300300300300300300300300299299299299298298298297297297297298297297297297297297298298297297298298298297298298298298298298297297297297297297297297297297297296296296297297297297298298298298298298298297297297297297296296297297297297298298298298298298298298298298298298298298298298298299299299299300300300300300299299299300299299299299299299299299299299299299299298298298297298297297297298297298298297298297297297298297298298299299299301301301301301301300301301301301301300301300300301301300299299299300300299299300300299299299299299299299299299299299299299299299299298298298298298298298298298298298298299299299298298298298298297296296296296296296296296296296296296297296297296296297296296296296296296296296296296295295295296295295295296295295296295295296296296296296295296295295295294294293293293292292292292292292292292292292292292292292292292292292293293293293293293293293293293293293293293293293294294294294293294293293293293293293292292292291291291291291291291291291292291291291291291291291291291291291291290290290290290290290290290289289289289289289288288288289289289289289289289289290290290290290290289290290290290290290290290291290290290290289289289289289289289289289289289289290290290290291291291291291291291291291291290290290290290290289289289289288288289289288288288289289288288288288288288288288288288289288288289288288289289289289289289289288288288288288289289288288288288288288288288288288288288289288289288289289289289289289289289289289289289289289289290290290290290289289290289290290290289289289289289290290290289289289289289289289288288288288288288288288287287287287287287287288288288288288288288287287288288288288288288288288288288288288288288288288288288288287287288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305304304304305305305305304304305304304304304304304304305305306306306305305305304305303304304305304304303303999999999296999999999999999999999999999294295296297297298299299300300300299299299299299299298299299300300299299300300300300300299300299299298298297296295294293293294295295294295295295297298298299299300300300300300300301301300300300300299300300300300300300300300300300300299299299299298298298298297297296296297297297298298299299298299299299299299299300301301301301301302303303302302302303302302302303302302302302302302302301301301301300300300300300300300300300299299299299299298298298297298298298297297297297298298298298298298298298297298298298298298297298297297297297297297297297297296297296297297297297298298298298298298298297298297297297297296297297297297297298298298298298298298298298298298298298298298298298298299299299300300300300300299299299299299299299299299299299299299299299299299298298298298297297297297297297298297297297297297297297297298298299300299300301301301301301300301300300301301300300300301301300299299299299298299299299300301299299299299299299299299299299299299299299299299298298298298298298298298298298298298299298299299299299298298298297297297297296296296296296296296296296296296297297297297297297297297296296296296296296295295295295295295295295295295295296296296296296296295295295294294294293293292292292292292292292292292292292292292292292292292292292292292293293293293293293293293293294294294294294294294294294294294294293293293293293293292292292292291292291291291292292292292292292291292292291291291291291291291291291290290290290290290289289289289289289288288288288289289289289289289289290290290290290290290290290290290290290291290291291291290290290290289289289289289289289290289290290290291291291291291291291291291291291291291291291290290290290289289289289289288288288288288289289288288288288288288288288288288289289289289289288289289289289290289289289289289289289289289289288289288288288288288288288288288288288289288288289288288289289289289288288289289289289289289289289290290290289289289289289289289289289289289290290290290289289289289289289289288288289288288288288288288288288287287288288288288288288288288288288288287288288288288288288288288288288288288288288288288288288287287288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999306305305305305305305304304304304304304304304304304304305305305305305305304304305304304303303303301999999305999999999999999999999999999999999999999999999295296297297298298299300300299299299299298299299299299299300300300300300300300300300300300300299298297296296295294294293294295294294295295296297298299299299300300300300300300301300300300300300300300300300300300300300301300300300300300299299299299298298297297297297296297297297299299299299299299300300300300300300301302302302303303303303303303303302303303303303303302302302302302302302302301301301301300300300300300300300299300299299299299299298298298298298298297298298298298298298298298298298298298299298298298298297297297297297297297297297296296297297297297298298298298298297298298298298297297297297297297297297297298299299298298298299299299298298298298298298298298298298299299299300300300300300300300299299299299299299299299299299298299299299298298298298297297297297297296297298297297297297297297297297297298299299300300300301301300300301301300301300300299300299299299299299299300299299299298299300300299299299299299299299299299299299299299299299298298298298297298298298298298298298298298298299299299299299299298298297297297297296296296296296296296296296297296297297297297297297297297297297297296296295296295295295295295295295295295296296296296296296296295295294294293293292292292292292292292292293293292293293292293293293293292292292292293293293293293293293293294294294294294294294294294294294294294294294294293293293292292292292292292292292292292292292292292292292292292291291291291292291291291291291290290289289290289289289289289288288288288288289289289289289289289290290290289290290290290290290290291290290291291291290290290290290290289289289289289290290290290291291291291291291291292292292292292292291291291291291291290290290290289289289289289288288289289289289289288288288288289288289289289289289289289289289289289289289289289289289289288288288288288288288288288288288288288287288288288288288288289289289289288289289289288288289289289290289290290290290290290289289289289289289289289289290290290290290290289289289289289289289289289289289288288289288288288288288288288288288288288288289288288288288288288288288288288288289289288288288288288288288288288288287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999306306306305304304304304304304304303303303303303303304305304305305305305304303303304304303303301299999999999999999999999999999999999999999999999999999999295295297297298298299300300299299299299298298299299299299299299300300300300300300300299299299299298297296296294294293293294293293293294295296297299299299299300300300300300301300301301301301301301301301300300301301301300301301300300301300299299299299298297297298297296297297297299300300300300300301301301301300300301302302302302303303303304304303303303304303303303303302302302302302302302302301301301301301301300300300300300300300300299299299299299298298298298298298298299298298298298299298298298299299298298298298298298298297297297297297297297297297297297297298298298298298298298298298298298297298297297297297297298298299298298299299299299299299298298298298298298298299299299299300300300301300300300300300300299299299299299299299299299299299299299298298297297296297297297297297297297297297297297297297297297298299299299299300300301301301301301301300302301300299299299299299299299299299299299299300300299299299299299299299299298299300299299299299299298298298298297298298298298297298298298298298298299299299299299299298298298297297296295296296296296296296296297297296297297297297297297297297298297297297296296296295295295295295295295295296296296296296296295295294294293292292292292292292292292292292293293293293293293293292293293293292292292293293293293293293293294294294294294294294294295295295295294294294294294293293293292292292292292292292292292292292292292292292292292292292292292291291291291291291291291290290290289289289289289289289289288288288289289289290290289289290290290290290290290290291291291291291290291291292291291290290290290290290290290289290290290290291291291291291292292292292292292291291291291291291290290290290290289289289288289289288288288288288288288288288288288288288288288288288289289289289289289289289289289289289289289289288289288288288288288288288288288288288288288288289289289289289289289289289289289289289289289289289289289290290290289289289289289289289289289290290290290290290290290290289289289289289289289288288288288288288288288288288288288288288288288288288288288288288288288288288288288289289289289289289289288288288288288288288288287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999307306305306305304304304304304303303303302303303302303304304304304304304305304303303303303303302301299999999999999999999999999999999999999999999999999999999295296297298298298299299299299299299299298299299299299299299299300299300300300300300300300300299298297297297295294294293294293292293295295297297298298298299299300300300300300300300300300300301300301301300300300301301300301301301300300300299299299298298297297297296297297297298299300301300301301301301301301300299300301302302302302303304304304303304303304304304303303303303302302302302302302301301301301301301301301301300300300300300300300300300299299299299299298299299299299299299299299299299299299299299299299298298298298298297297297298297297297297297298298298298298299298298298299298298298298298297297297297298298299299298299299299299299299299298298298299299299298299299299300300300300301300301300300300299299299299299299299299299299299299299298298298298296296297297296297298297297297296298297298298298298299299299299299300301301300300301302301302301299300299300299299298299299299299300300299300300299299299299299299299299299299299299300299299299298298298298298298298298298298298298298298298299299299299299299300299299298298297296296296297296296296296296296296296297297297297297297297297297298297297296296296295295295295295295295295295295295296296296295294294293292292292292291291291291292292292292292293293293293293293293292292292292292292293293293293293294294294294295295294294295295295295295295295294294294294294294293293293293292292292293293293293292292293292292292292292292292292292291291291291291291290290290289289289289289289289289288289288288288289289289289289289289289290290290290290290290290290290291290290291291291291290290290290290290290289290290291291291291291292292292292292292292292292292291291291291291290290290290289289289289289288288288288288288288288288288288288288289288288289289289289289289289289289289289289289289289290289289290290289289289289289290289289289289289289289290289289290290289289289289289289289289289289289289289289290290290290289289289289289289289289290290290290290290290290290290289289289289288288288288288288289288288288288288288288288289288289289289289289289289288288288289289289289289289289289289289288288288288288288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999307305305305305304303303304303303303302302302302303304304304304304304305305303303303303303304302999999999999999999999999999999999999999999999999999999999294295297297297298299299300299299299299299299299299299299299299299299300300300300300300300299299299299298298297296294294294293293293294295296297298298298299299299300300300300300300300300300300300301301301301301300300301301301301300300299299299299298298298298297297297297297298299300300301301301301301301302301300299299301302302301300304304304304304304304304304304303303303303302302302302302301301301301301301301301301301300300300300300300300300300299299299299299299299299299299299299300300299299299299299299299299298298298298298298297297298298297297298298298298298298299299298298298299299299298299298298298297298298298298298299299300299300300300299298299299299299299299299299299299299299301301301301301301301300300300300299299299299299299299299299299298298297297296297296297297298296297298298298298298299299299299299299299299300300301300301301302300300301300300300299300299299299299299299299299299299300300299299299299299299299299299299299299299300300299299299299299299298298299298299299299299299299299299300300300299300300299299298297297297297297297297297297297297297297297297297297297298298298298298298297297296296295295295295295295295295295295296296295294294293292292291291292291291291292292292292292292293293293293293293293293292292292293293293293293293293293294294294294294294294294295295295295295295294294294293293294293293293293293293292293292292292292292292292292292292292292292291291291291291290290290290289290290289289289289288288289288289289289288289289289289289289290290290290290290290290290290290290290290290290291291290290290290290290290291290290291291291291291292292292292292292292292292292292291291291291291291291290290290289289289289289288288288288288288288288288288288288289289289289289289289289289289289289290290289289289289290289289290289289289289289289290290290289290290290290290290290290290290290289289289289289289289289290290290290290290290290290289289289290290290290290290290290290290291290290290289289289289288288289289289289289288288289289289289289289289289289289289289289289289289289289289289289289289289289289289289289288288288288288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305304305305305305304303303303303302303302302303303303304303303303304305304304304303303303303999999999999999999999999999999999999999999999999999999999296295298298299299299299299300299299299299299299299299299299299299299299300300300300300300299299299299299299298297296296296295294293293294294296297298298298298299299299300300300300300300300300300300300301300300300301300301301301301300299299299299299299299299298298297297298298299299300301301301302301301302302301299299298300301302303303303304305305304305305304304304303304303303303303303302302302302302302302302301301301301300300300300300300300300300300299299299299299299299299299299300300300299299299299299299299299298298298298298298298297297297297297297297298298298298298299298298298298298298299299298298298297298298298298298298299299299300299299299299298299299299299299299299299299299299299300301301301301301301300300299299299299299299299299298298298297297297296296296296297296296296298297297298298299298298299299299298299299300302301301301301302299299300299299298299300299299299299299299298299299299299300299299299299299299299299300300299300299299299298299299298298298298298299298298299299298299299299299300300299299300300299299297297297297297297297297297297297297297297297297297297297297297297297298298298297296296296295295294294294295295295295295295295294293292292291291291291291291291291291292292292292292292293293293293293293292292292293292292292293293293293293293294294294294294294294294294295295295295295295294293294293293293293293293293293293292292293293293292292292292291292292291291291291291290290290290289290289290289289289289289289289289289289288289289289289289290289290290290290290290290290290290290290290290290291291291291291290290291290291291290291291291292292292292292292292292292292292292292292292292292291291290290290290289289289289289288288288288288288288288288288288288289289289289289289289289289289289289289290290290289289289290290289289290290290290290290290290290290290291291291291291291291290290290290290289290290290290290290290291291291290290289289290290290290290290290290291290291291291291290290290289289289289289289289289289288289289289289289289289289289289289289289289289289289289289289289289289289289289289289288288288288288288287288287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304304305306305305303303304304303302302302302302303303303304303303305305305304304302302999999999999999999999999999999999999999999999999999999999999297296298299300300300299299300300300300299299299299299299299300300300300300300300300300299300299300299299299299299298297297296295295295295294295296296297298297298298298299299299299300300300300300300300301300300300301300301301301301300299299299299299299299299299299298298298299299299301301301302302302302302302302301299298999300301302303303304304304305305305305305304304304303303303303303303303303303302302302302302302301301301301301300300300300300300300300300299299299299299299299300300300300300300300299300300299299299299298299298298298298297297297297297298297298299299299299299298299299299299299299298298298298298298298298298298299299300300299299299299299299299299300299299299299299299299300300299301301300301301301300300299299299299299299299299298298298297297297296296296296296296296296297297297297297298297298298298299300299300301300301299301302301299299299298299299299300299299299299299299298298299299299299299299299299299299299299299300300300300299299298299299298298298298298298299299299299299299299299300299299299299299300299299298298297297297297297297297297297297297297297297297297297298297297297297297298298297297296296295295294294294294295295295295294293292292291291291291291290291291291291292292292292293293293293294294294294293293293293293293293293293293293293293294294294294294294294294294294294295295295295294294293293293293293293293293293293293293293293293293292293292292292292291291291291291290290289290290290288289289289289289290289289289289289289289289289289289289290290290290290290290290290290290290290291290290290291290290291290290290290290291291291292292292292292292292292292292292292292292292292292292292292291291291290290290290289289289288288288288288288288288288288288289288289289289289289289289289289289290290290290290290289289289290290290290290290290290291291291290290291292291291291292291291291291291291290290290290290290290291291291291291290290290290290290290290290290290291290290290291290290290290289289289288288289289288288288288289288288288289289289289289289289289289289289289289289289289289289289289289289289289288288288288288288288287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305305306306305303303303304303302301301301301302302303303303303303304305305304303301999999999999999999999999999999999999999999999999999999999999298296299300300301301300300300300300300300300300300300300300300300300300300300300300300300300300300300299299299299298298298297297296295295295295295295297297298297298298298298298299299299300300300300300301301301301301301300301301301301301300299299299299299299299299300299299299300300300300301301302303303303303302302301299300299300301301302304304304304305305305305305305304303303303303303303303303303303302302302302302302301301301301301301300300300300300300300300300299299299299299300300300300300300300300300300300299299299299298298298298298298298298297297297298299299299299299299299299299299299299299299299299299298298298298298298298299299300299299299299299299300299299300299300299299299299299299299299299301301301301301301300300299300299300300299299298297297297297296296296297296296296296296297296296297297298298298298298298299299299300300300300302301300299300299299300299299299299300299299300299299299298299299299299299299299299300300299300300300299299299299299298299299298298299298299299299299299299299300300300300300300300300300300299298298298298298297297297298298298298298298298297297297297297297298298298298298298298297296296295295294294294294294295294294293293292292291291291291291291291291291292292292292292293293293293294294294294294294294294294294293293293293293293293293293294294294294294294294294294295295295295295294294293293293293293293293293293293293293293293293292292292292291291291291291290290290290290290290289289289289290289289289289289290289288289289289289289289289290290290289289290290290290290290291291291291291290291291290290291290290291291291291291292292292292292292292292292292292293293293292292292292292292292291291290290290289289289289289288288288288288288288288289289289289289289289289289289289290290290290290290290290289290290290290290290290290290290290291291291291292292291292291292291291291291291291291291291291291291290291291291291290290290290290290290290290290290290290290290290290290290290290290289289289288288288288288288288288289288289289289289289289289289289289289289289289289289289289289289289290289289289289288288288288288288288287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305304304305305304303303304303303301301300301301302303304304303304305305305304302301300305999999999999999999999999999999999999999999999999999999999297298300300300300301300300301300300300300300300300300300300300300300300300300300300301301300300300300300300300299299299298298298297297296296295296296297298298297298299299298298299299299300301300300300301301301301301301301300300301301301300299299299299299299299300300300300300300300301301302302303303304303303303302301300301300300300300301302304304305305306305305305305304304304304303304304304304303303303303303303302302302302302301301301301301301301300300300300300299299299299299300300300300301300301301300300300300299299299298298298298299298298298297297297298299299299299299299299299299299299299299299299299298299298298298298298298299299299299299299299299299299300300300300299299299299298299299299299299299300301301301301300300300300299300299299299298298297296297296297296296296297296296296297296297297298298298298298298298299299300300300300300300300299300300300299298299299299299299299300299299299299299299299299298299299299299300300300299300300300299299299299298298299298299299299299299299299300299299300300300301300301300300300299299299298299299299298298298298298298298298299298298298298298298298298298298298298298298297297296296296295294293293294294293293293292292291291291290290290291291291291292292292292292293293294294294295294295294294294294294294294293293293293293293293293293293293294294294294294294294294295295295294294293293293294293293293293293293293293294293293293293292292292291292291291291291290291291290290290290290289290289289289289289289290290290290290290290290289289290290290290290290290290290291291291291291291291291291291291291290290291291291292292292292292292292292293293293293293293293293293293293293292292292292292291291290290290290290289289289288288288288289288289289289289289289289289289289289290290289290290289289290289290289289289290290289290290290290291291291291291291291292292292291291291291291291291291291291291291291291291291291291291291290290290290291290290290290290290290290290290290290290290289289289289288288288288288288288288289289289289289289289289289289289289289289289289289289289289289289289289289289289288288288288288287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999306303303304304304305304304304304304302301301301301302303304305304304305306305305300300302999999999999999999999999999999999999999999999999999999999296297300300300300300301301301301301300300300300300300300300300300300300300300300300300300301300300300300299299299299299298298298298298297298297297297297297297297298298299299298298298298298300300301301301301301301301301301300300301301301300300300299299299299300300300300301301301301301301301302303303304304303303303302301299301301301300300300301303305306306305305304305305305305304304303304304304304304303303303303303302302302302302302302302302301301301301301300300300300300300300300300300301301301301301301300301300300299299299298299299298299298298298298298298298299299299299300299300299299299299299299299298299299298298298299299299299299299299299299299299299299299299300300300300299299299299298299299299298299299301301301301300300301300300299299299299298298297297297296296297296296296296296297297297297298298298297298297298298298300300301300300300300299301301300301300299299299299299300300299299299299299298299298299298298298298299299299299299300299299299299299299299299298299299299299299299299299300300300300300300300301301300300300300299299299299299299299299299299299299299299299299299298298298298298298298298298298299298298297297297296296295294294293293293293292292292292291291291290291291291292292292292292292293293293294295295295295295295295295295294294294294294293293293293293293293293293294294294294294294294295295295295294294294293294294294294294293294293293293293293293293293292292292292292291291291291291291290290290290290290289290290289289289289290290290290291291290290290290290290290290290290290291291291291291291291291291291291291291291290291290291291292292292292293292292292292292292292292293292292292292292292292292292292292291291291291290289290289289289289288288288288289288289289289288288288289289289289289289290290290289289289289289289289290289289289290290290291291291291291292292292292292292292292292292292291291291291292291291291291291291291291291291291291291291291291291291291291291291290291291290290290290290289289289289289288288288288288288288288288288289289289289289289289289289289289289289289289289289289289289290289289289288288288288288287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305302303304304303303303303304303303302300301301301302303304305305305306307307306300300303306999999999999999999999999999999999999999999999999999999295296300300301301301301301301301301300300301301301301300300301301301301300300300301300300300300301300300300300300299299298298298299298298297297297297297298297298298298298298298298298298298299300300300301301301301301301301300300300301301300300300299298299299300301300300301301301301301301301302303303303303303303303302301300300300300300301300999303304305306305305305305305305305305304304304304304304304304304304303303303303302302302302302302302302302302301301301301300300300300300301301301301302302302302301301301301300300300300299299299299299298298297298298299299300299299299299299299300300299299299299299299299299299299298299299299299299299299299299299299299299299300300300300300300299299299299298299299299298299300300301301300300300300299299299299298298297297297297296296297296296297297297297298297297298299299298298298299299298300300301300300300300300301301300299299299299299300300299299299299299300299299299299299299298298299298299299300300299299299299299301299299299299299300300300300299300300300300300300300300300300300300301300300300299300299299299300300299300299299300299299299299299298298299298298298298298298299299298298297297297296296295294294293293293292292292291291291291291291292292292292292292292293293294294295295295295295296295295295295295295295295295294294293293293293293293293294293294294293294294295295295295295295294294294294294294294294294294293294293293294293293293292292292292291291291291290290290291290290290290290290290289290290289290290290290290290290290290290290289290290290290290290290290291291290291291291291291291291291291290291291291291292292292292292292292292292292292292292292292292292292292292292292292292292291291291290290290289289289289289289289288289288288288289288288288288289289290290289290290291290290290289289289290289289289289290290291291291291293292292292292292292292292292292291291292291291291291291291291291291291291292291291291291291291291291291291291291291291291290290290290290290290289289288288288288288288288288289288288288288289289289289289290290289290289289290289290289289290289290290290290289289288288288288288287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301303303304304303303303303303303302301301301302303304304304305305306306308307304301303306999999999999999999999999999999999999999999999999999999295298300300300301301301301301301301301301301302302301301301301301301301301300300300301301301301301301301300300300300300299299298298299298298298298298298298298298298298298299297298298298298298299300300301300301301301301301301301301301301301300300299299300300300300301301301301301302301301302303304304304303303303303302302301300300300301301301302303303304305305305305305305305305304304304304305304305304304304304303303303302302302302302302302302302302301301301301301300300300300300301301301302302302302301301301301301301300300300299299298299299298298298298299299299299300299299299300300300300300300300299299299299299300300299299299299299299299299299299299299300299299299300300300300299299299299299299299299299298298299300301301301300300300300300300299299298298298297296297297296297297298298297298299298298299299299299298299299299299300300300299300300301301300301300299299301300300301301300300300301299300300301300299300299298298298299299300299300299299300299299300300300300299300300300301300300300300301301301301300300300300300300300301300300300300300300299300300300300300300300300300299299299299299299299299298298299299299299299298298297297297296296295295294294293292292292292292292292292292292292292292293292293293293294294295295296296296296296296295296295295295295295294294294294293293293293293293293293293293294294295295295295295295294294294293293294293294294293294293293293294293293293292292292292291291291290291290290290291291290290290290289289289289290290290290290290290290290290290290290290290290290290290291290291291291291291291291291290291291290290290291291291292291292291291292292292292292292292292292293293293293293292292292292292292292292291291290290290289290290289289289289290289289289289289288288289289289289289290290290290290290289290289289289289289289289290290290290291292292293292292293292292292292292292291292291291292291292291291292291291291291291291291291291291291291291291291291291291291291291291290290290290290289289289289288288288289289289289289289289289289289289290290290290290290290290290289290290290290290289290290289289288288288288288287287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298302303303304303303303303303303303302301302302303304304304305305306306307308306302303306999999999999999999999999999999999999999999999999999294295299301300300301301301301302301301301302301302302301301302302301301301301300301300300301301301301301301301301301300299300299300299299298298298298298299299298298299299298299298298298298298299299300300300300301301301301301301301301301301301301301300301299300300301301301301301302303302302303303305306304304303302301301300301302302302302302302302304303303305305305305305305305305305304305305305305304304304304304303303303303303302303303302302302302302302301301301301301300300301300301301301301302302301301301301300301301300300300299299298298298298298298298299299299299299299299299299300300300299300299299299299299299299300300299299299299299299299299298299299300300300300300300300300299299299299299298299298299298298298300300300300300300300299299298299299298298297297297297297297297297298297297298299298299299298299299298299298299298300299299299299300300299300301300298300300299300299301301300299300300300301300300299300299299298299299299299299300300300300299299300299299299299300300300301300300300300300300300300300300300300300300300300300300300300300300299299300299300299300299299299299299299299298298298298298298298298298299298298298297297297296296295295295294293293292292292292292292292292291292292292292293292293293294295295295296296296296296295295295295295295295295294295294294294294294293293293293293293293294294295295295295295294295294294293293293294294294294293293293294293294293293293293292293293292292291291291291291291291290291290290290290290290291290290290291290290290290290290290290290290289290291291290291291291291291291291291291291291291291290290291291291291291291291292292292292292292292292292293292293292292292292292292292292292292292291291291290290290290290289289289289289289289289289289288289289289289289290289290289290290290290290289289290290289289289289290290290291292292293292293292293293293292292292292291292292292292292292292292292292292292291291291292291291291291291291291291291291291291291291291291290290290289289289289288288288288288288288288289289289289289289289289290290290290290290289289290290290290289290290289289289288288288287288287287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302303303303302302302303303304303303302302303304304304305305305306306306307307303302303999999999999999999999999999999999999999999999295296295297301301301301301301301302302302302302302302302302302302303302301301301301301300301301301302301302302301301301301301300300300300299300299299299299298299299299299299299299298299298298298299299299299300301301301301301301301301301301301301301301301301302302301301301301302302302302302302303304305306306305304302300300299299301302302303303303302302304304303305305305306305305305306306305305305305305305304304304304304303303303303303303303303303302302302301301302302301301301301301301302302301301301302302301301301301301301300300300300299299299299299299299299300299299299299299300299300300300300300300299300300300300300300300300300300300299299299299299299299300300300300300300300300300300299299299298299299299298298298298299300300300300300300299299300299298299298298298297296296296297297297297298299298299299298298299299298299299299299299299299299299300301300301300299298299299299299302301301300300300301300301300300300300300299299299299299299299299300300299299300299299299299299299300301301300300300300300300300300300300300300300300300300300300300300300300300300300300300300300299299299299299299298298298298298298298298299299299299299298298298297297296296295295295294293293292292292292292292292291292292292293293293293294295296295296296296296296296296295295295295295295295295295294294294294294293294294294294294294294295295295295295295295295294294294293293294294294293293293293293293294294294294294293293293293293292292292292292291291291291291291291291291291291290291291291290290290290290290290290290290291290291290291290291291291291291291291291291291291291291291291291291291291291291291291291291291292292292292292292293293292292292292292292292292292292292291291291291290290291290290290290290290289289289289288289288289289289290289289289290290290291290290290289289289289289289290290291292292292292292293293293293292292292292292292292292292292292292292291292291291291291291291291291291291292292292291291291291291291291291290291290290290289289289289289288289288288289288288288288289289289289289289289290290290290290290290290290289289290290290289289288288288288287287287287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302302302303303302302303303303303303302302303303304305306306306307307306307306303302303999999999999999999999999999999999999999999297296297298300301301301301301302302302302302302303303303302302302302302302302301301301301301301302302301302302302302301302301301301300300300300300299300299299299300299299300299299300299298299298298298298299300300300301301301301301301301301301301301301301301302302302302301302302302302302302302303304305306306307305304304999999999999299301302302303302302302304302302304305306306306306305305305305305304305304304304304304304304304303303303303303303303303302302302302301301301301301301301302302303302302301301301302302301301301301301301301301301300300300299299300300300300300299299300299299300300300301301301300299299300300300300300300301301301300300299299299298298299300300300300300300300300300299299299299298299298299298298299299299299299300300300300300300300299299298299298298297296296297296297297299299299299299299299299299299299298299300299299301300300298298299300301301301300299299300303302301301301301300300300300300301301300300299299299299299299299299300300300300299299300300299300300300301301301300300300300300300300300300300300300300300300300300300300300300300300300299299299299299299299299299299299299298298298298298299299299299299299298298298297297297296296295295294294293293292292292292292292291292292292293293293293294295296296296296296296296296296295295295294295295295295295295294294294294294294294294294294294295295295295295295295295294294294293293293293293293293293293293293293294294294294294294293293293293293293293293293292292292292292292291291291291291291291291291291291291290290290290290290290290290290290291291291291291291292291291291291291292291291291291291291291291291291291292291292292292292292292292293293293293293292292292292293292292292292291291291291291291291291290291290290291290290289289289289289290289289289289290290290290291291291290289289289289289289290290290291292292292292292292292293293292292292292292292292292292292292291292292292292291292291292291291292292292292292291291291291291291291291290290290290290290290289289289289289289289289289289289289288289289289289289290290290290290290290290290290290290290290290290289289288288288288287287287287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302302302302302302303303304303303303302303304304304305305306306306307307307305303303303999999999999999999999999999999999999299299299300300300301301302302302303303302302303303303303303303303302303302302302302302302302302302302302302302301302301302301301301301301300301300301300300299299300300300300300300300300299299299298299299298299299300300301301301301301301302302301301301302302302302302302302302302303303302303303303303304306306306306307999999999999999999999999302302303303303304304999300302305306307307306306305305305305305305305305305304304304304304304303303303303303303303302302302302302302301302302302302302302302302302301301302301301301301301301301301301301302301300300300299300300300300298299299299299299300300300301301300300299299299300300300300300301300301301300300299299299299299299300300300300300300300299299299299298298299299298298299299298298298299300300300300300301299299299298298298297297297297298297297298298299298299299299298298299299298299299299299300299299299299299299299300301300300300301300301302301300301300300300300301301301301299299299299299298299298299299299300299300300299300300299300300300301301300301300300300300300300300300300300300300300300300300300300300300300299299299298298298298298299298299299298299298298298298298298298298299299298299299298297297297296296296295295294294293293292292292292292292292292293293292293294295295296296296296296296296296295295295294294294294294294294294294294294294294294294294294294294295295295295295295295295294294294293293293293293293293293293293293293294294294294294294294294294293293293293293293293293293293293292292292292292291292292292292291291291292291291291291291291291291291291291291291292291291292292292292292291292292292291292292292292291291291291291292292292292292292292292293293293292292292292292292292292292293293292292292292290290291291291291290290290290290290289289289289289289289289289289290290290290291291290290289289290289289290290290291292292292292292292292292292292292292292292292292292292292292292292291292292292292292292292292292292292292292291291291291291291291291291290290290290290290290289289289289289289289289289289289289289289289289289290290290290289290290290290290290290290290289289289289288288288287287287287287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302302302302303303303304304304303303304304305304305305306307307307307307306306304302301300298999999999999999999301300299299300301301301301302301302303304303303303303303303303304304303303303303303303303302302302302302302302302302302302302301302301301301301301301300301301300301300300300300300300300300300300300299299299299299299299300299300300301302301301301302302301302302302301302303303303303302302303303303303304305304305306306306306307999999999999999999999999999999306303305305305999999302306307307306306306306306306305305305306305305305305305304304303303303303303303303303303302303302302302302302302302302302302302302302302302301301301301301302301301301302301302302301301300300300300300300300299299299299299299300301300301300300300300300300300300301301300300300300300300300299299299300300300300300300300300300300299298299299298299298299298298298299298299299300300300300300299299300299299299298298296296297297299297298299300299299299299299299298299299299299299298297298298298298299300299300299301301300300302301301300301300300301300301301301301300300299299299299298298299299299299300300300299300300300300300300300301301300301300301301300300300300300300300299300300300300300300300300299299298298298298298298298298298298299298299299298298298298298298298299299299298299298298298298297297297296296296295295294293293293292292292292292293293293293293294295296296296296296296296295295295295295294294294294294294294294294294294294294294294294294294294294295295295295295295294294294294294293293293293293293293293293293293294294294294294294294294294293294294294293293293294294293293293293293293293292292292292292292291292291291291291291291291291291291291291291292292292292292292292292291292292292292292292292292292291291291291292292292292292292292292292292292292292292292292292292293293293293293292292292292292290291292291291291291291291290290290289289289289289289289289290290290290290290291291290290290289289290290291291291292292293292293293293292292292292292292292292293293293292292292292292292291292292292292292292292292292292291291291291291291291291291291290290290290290290290289289289289289289289289289289289289289289289289289289289289290289289290290290290290290290289289289289288288288288288287287287287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300300302303304304305305304303303304303304304304305306306306307307307307306304303302301299298297295296999999300301300301302302302301302302302302303303304303303303304304304304304304303302302302303303303302302302302302302302302302302302302302301301301301301300300301301301301301300300300300300300300300300300300299299299299300299300299300300301301301301301302302302302302302302302303304303303304303303304304305305305305305306306306307308999999999999999999999999999999999999999999999999999304306307307306306306306306306305306306306306305305305305305304303304304304303304303303303303303302302302303302302301302302302302301302302301302302302302301301302303302302302302301302301301301300300300300300300299299299300300300301302300300300300300300301301301300301300300301301300300300299299299300300300300300300300300300300299298298299299299299299298298298299299299299299300300300300300299299298299298297296296297298297298298299298299299299300299299300299299299299299299298298299299299299299298299300300299299300300300300300301301301301301301301300301301301300300300300299299299299299299299300300300300300300300300300301301301301300301301301301301300300300300300300300300300299300300299299299298298298298298298298298298298298298298299299299299299299299299299299299299299298299298298298298298297297297296296296296295294294293293292292292292293293293293294295295296296296296295295295295295295295294294294294294294294294294294294294294294294294294294295294294295295295295295294294294294294293293293293293293293293293293293294294294294294294294294294294294294294294294293294294294294293293293293293292292293292292292292292291292292291291291291292292291291292292291292292292292292292292292292292292292292292292292292291292291291291291292292292292291292292292293292292292292293293293293293293293293293293293292292292291292292291291292291291291291291290290290290289289289289289290290290291291291291291291291290290290290291292291292292292292293292293292292292293292292292293293293293293293292292292292292292292292292292292292292292291292291291291291291290290290290291290290290290290290290290290290290290289289289289290289289289289289289289289289290290290289290290290290290290289289289289289288288288288287287287287287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301303304305305306305304303303304304304304305305305306306306306305305305304303302300300299299299299300301302302302302301301302302303302303304304304304304304305305304304304304303302302303304303303302302302302302302302301302302302302301301301301301301301301302302301301301301301301301301300300300300301301301300300300300300300300301301301301301301301301301302302303303303303303303303303303304304305305305305305306305306306307307999999999999999999999999999999999999999999999999999304305306308308307306306306306307306307305306306305306306305306305304304303304303304304303303303303303303303302302302302303302302302302302302302302302302302302302303302302302302302302302302301301300300301300301300300300300300300301302302302301301301302301301301301300301301300300300300300300300299299300299300300300300300300300300299299298299298299299299299298299299299299298298299300300300300299299298297298297296296300299298298298299299299299299300300299299300299299298299299298298299298298297298299299299299300299300300300301300301301301301301301301301302301301300301300300300299299299299299300300300300300300300299300300301301301301301301301301301300300300300300300299299299299299299299299298298298298297297298297298298298298298298298298298298299299299299299299299298298298298298298298298298298298297297297296296296296296294294294293292292292293293293294294295296296296296295295295295295295295295294294293294294294294294294294294294294293293294294294294294294295295294294294293294293293294294293293293293293293293293293294294294294294295295294294294294294294294294294294294294294294293293293294293293293293292293293292292292292292292291292292292292292291292292292292292293293292292293293293292292292292292292292292292292291291291291292292292292292292292293293292292293292293293293293293293293293293293293292292292292292292291292292291292292291291291290290290290290290290289290290290290290291291291291291290290290290291291292292292292292292292292292293292292292293293293293293293293293292292292292292292293292292292292292292292292291291291291291291291291291290291291290290290291291291291291290290290290290290290289289289289289289289289289289289289289289290290290290290289289289289289289288288288288287287287287287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302304306305306305304303303304304304304305305305305305305305305304304304304302302301301301302302302302303302302302302302302302303303304304304305305305304304304304304304304303303303303304304303303302302302302302301302302302302302302302302301301301301301302302302301301301301301301302301301301301301301301301301300300300300301301301302301302301301302302302303303303303304303304304303305304304305305305306307307307308308307307999999999999999999999999999999999999999999999999999304306307308308307307306306306307307306305306305306306306305305305304304303303303304304303303304303303303303303302303303303303303302302302302302303303303302302303303303303302302302302302302302302302301301301301301302301301301301302302303302301301302302302301301301300300301301301300300300300300299300300299299299300300300300300299299298298298297299299299299299299299299299298299299300300300300299299299298298298297296300299298298298298299299299300300300299299300299299299299298299299299299297298298298299299299298299300301300300301302301303301302301301301301301301300301301300300300299299299299299299300300300300300300300300301301301301301300301301301300300300300300300299299299299299299299298298298298297297297298297298298298298298298298298298298298298299299299299299299299298298298298298298298298298297297297297297296296296295295295294293293292293293293294295295296296296296296295295295295294295294294294294294294294294294294294294294294294294294294294294294294294294294293293293293293293293293292292293293293293293294294294294294295295294295295295294294294294294294294294294294294294294294294294294293293293292293293292293292292293292292292292292292292292292292293293292292292292293293293292292292292292292292292292291292291291291291292291291292292292292292293293293293293293293293292293293292293293293292292292292293293293292292291291292292291291291291291290290290290290290290290290290291291291292292291290290290291291292292292293293293293293293293293292293293293293293294293293293293293293293292293293293293292292292292292292292291291291291291291291291290291290290290290290290291291291291291290290290290290289290289289289289289289289289289289289289290289289289289289289289289289289289288288288287287287287287287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305306306306306305303303304304305304305305305305305304304304304304304303303302302302302302302302303303303303302302302303303304304304305304305305304304304305304304303303303303303304303303303304303303302303303302301302302302302302302302302302302301301302302302302301301302302302302302302301301301301301301301301300301301301301301302301301301301301301302303303303303304305305304304305305305305307306306307307309309307307308999999999999999999999999999999999999999999999999999305306307308307307306306306306307308307307306306307306305305305305305304304304304303303303304304304303304303304303303302303303303302302303303303303303304304303303303304304303303303303303303302303302302302302302303302302302303303303303303302302302302302302301301301301301301302301301300300300300300300300300300300300300300301300299299298298299298299299299299299299299299300299299299300300300300299299299298298298299299299299298298299299299299300300300301299299299299299300299298298300299299299299298299298299299299299301302300300300301302301302302301301301301301302301301301300300300300300299299300300300300300300300300301301301301301301301301301301301300300300300300300300299299299299299299299298298298298298298298298298298298298298298298298298298298298299299299299299299299299298298298298298298298298298298297297297297297296296295295295294293293293293294295295295296296296296295295295295295295295295294294293294294294294293294294294294294294294294294294294294294293293293293293293293293293293293293293293293293293294294294294294294294294295294295294294294294294294294294294294294295295294295294293294294294294293292293293293293293292292293292292292292292292293293293293293293292293293293293292292292293293292292292292292292291291292291291291292292292292292293293292293293294293293293293293293293293293293293294293293293293293292292292292292292291291292292290291291290290290291291291290291291291292292291291291291291291291292292292292293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293292292292291291291291291291291291291291291290290290290290291291291291291291290290290290289290289289289289289289289289289289289289289289289289289289289289289289289289288288288288288287287287287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999307306307306306306306305303303304304305305304305305304304304303303303304303304303303303303302303303303303303303303302303304304304305305305304305305305304304304304304303303303303303303304304303303303303303303302302303303302302302302303302302302302302302302303303303302302302302302303302302302302301302302302301301301301301301301301302301301301302302302303303303304304305305305304304304305305306306307308309308309309308307999999999999999999999999999999999999999999999999999999305306307308307307307307306306307308307306307307308307307305305305306304304304304304303304303304304304304304303303303303303303303302303303303303303303304304303304304304304303303303303303303303303303303303304303303303303302303303303303303303302302302302302301302301301301301301301301301300301300300300300299299299300300300300300299299298298299298299299299299299299299299300300300299299299300300300299299298299298299300300299297299298300300299300300300299299300300300300299299299301299298298298299298298297298298299300301301301300300301301301302303302301301301302302302301301301301300300300300300300300300300300300301300301301301301301301301301301300301300300300300300300299299299299299298298298298298298298298298298298298298298298299298298298298298298298298299299299299299299298298298298298298298298298298298297297297296297296296296295295294293293293294294295295296296296296295295295295295295294294294294294293293293293293293294294294294294294293294294294294293293293293293293293293293293293293293294293293293293293294294294294294295295295295295295295295294295294294294294294294294294295294294294294294294294294293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293292292292292292292292292292291292292292292292292292293293293293293293294294293293293293293292292292293292292293293293293293292291292292292291292292291291291290290290290291291291291291291292291292292291291291292292292292292293293294293293293293293293293293293293294294294293293293293293293293293293293293293293292292292292292291291291291291291291291291291291291291291291291291291291291291291291291290290290290290289290289289289289289289289289289289289289289289289289289289289289289288288288288288288288287287287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999309307307307307306306305305304304305305305305305304304304304303303303303303303303304304304304304304304303303303303303303304304306305305305304305305305304304304303303303303303304304304304304304303303304304303302303303303303303303302302302303303302302301302303303303303302302302303303302302302302302302302302302302302302301302302302302302302302302302302303303304304304305306305305305304305306306307308308308309308308308308999999999999999999999999999999999999999999999999999305306307307307308308307307307306308308308308308307308307307306306306305306304304304305304304304304304304304303304303303303303303302302303303303304303304303304304304304304304303304304304304303303304303303303304304303304303303303303304304304303303302302302302302302301301301301301301301301301300300300301300299299299299300300300300299299299299299299299299300299299299299300300300301300299299299299300300300298298297297298299298299299300300299300299299300300300300300300301300299299300299298298298297298299299299298299298300299300300300301302301300302301301301302302302302302301301301300300300300300300301300300300301300301301301301301301301301301301301301301301300300300300299299298298298298298298298298298298298298298299298298298299299299299298298299298298298299299299299299299298298298298298298298298298298298297297297296296296296296296295295293293293294294295296296296296296295295295295294294294294294294293293293293293293293294294294293293294293293294293293293293293293293293294293293293293293293293293293293293294294294294294295295295295295294294294294294294294294294294294294294295295295294294294294294294294293293293293293292293293293293293293293293293293293293293293293293293293294293293293293293293293293292292292292292292291292291291292292292292292293293294293293293294294294294293293293293293293293293293293293294293293293292293292292291292291291292291291291291291291291291291291291291291291292292291292291292292292292293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293292292292292291291290291291291291291291291291291291291291291291291291291291291291291291291290290290290290290290290289289289289289289289289290289289289289289289289289289288288288288288288288288288287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999306305306306305305305305304304305305305304304305305305304304304303303304303304304305305304304305304304304304304304304305305305306305305305304305305304304304304304305304304304304304305304304304304304303303303303303303303303303302302302302302302302302302303303303303303303303303303303303303302303302302303302302302301302302302301302302301302302303303303304304304305305305305305305306306307307308307308308308307307307308999999999999999999999999999999999999999999999999999306305306306307308308308308308308309309309308308308307307307307306306306306305304304305304305305305304304305304304304304303303303303303303303304304304304304305304304304304303304304304304304304304303303303304304304305304304303304303304304304304303302302302302303302302301301301301301301301301301300300300301300300300300300300300300300300300300299299299300300300299299299300300300301301299300299300300301300300298298298297298300299299300299300300300300300300301301301302301300299300299300299299299298297299299299299299300299299301301300302302302302302301302301302302302301302301300301300300300300300300301300300300301301301301302301302301302301301301301301300300300300300300299299299298298298298298298298298298298298298299299299299299299299299299299299299299299299299299299299299298298298298298298298299298298297297297296296296296296296296296295294293294294295295296296296296296296295295295295294294294294294294294294293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293294294294294294294294294295295295295295295294295294294294294294294294294295294295294294294295294294294294294293294293293293293293293293293293293293293294294294293293293293293293293293293293294292293293293293292292292292292292291291292292292292292292292292292293293293294294294293293293294293293293293293293293294293292293292293292293293292292292291291292292291291291291291290291291292292291292292292292292292292292292292293293293293293293293293293293293293293293293293293293293293293294294294294293293294293294293293293293292292291291291291291291291291291291291291291291291291291291291291291291291291291291291291290290290290290290289289289289289289289289289289289289289289289289289288288288288288288288288288288288287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303304305305304305305305305305305305305305304305305304305304304304305304303304305305305305305304304304304304305305306306305306307306305305306305305305304304304305305305305305305305304304304304304304304303303303303303303303303303302302302302301302302302302303303303302303303303303303302303302302302302302302302301301301301301302301300302303304304303304304305305305305305305306306306307308308308307308307308307307306999999999999999999999999999999999999999999999999999999305306305306308308308308308308310309308308308308308308308307307307306306305305305305305305305305305305305305305304305304304303303303303304303303303304304304305305304304304304304304304304304304304304304304304304305304304304304304305305304303303303303303303303302302302301301301301301301302301301301301301301300300300300300301301300300300299300299299300300300299300300300301301301301300300300300300301300299299298298300298299300300299300299300300300300301301301301301302300299300300301301302298300299299299299300300299299300299300300301302302301301301302302302302301301301301301301300300300300300301300300300300300301301301301301302301301301301301301301301300300300299299299299299298298298298298298298298298298298298299299299299299299299299299299299299299299299299299299299299298298298298299299298298298298297297296296296296296296296296295294294293294295295295296296296296296295295295295294294294294294294294294294294294293293293293293293293293293293293293293293293293293293293293293293293293293293293293294294294294294294294294294294294294294294294294295294294294294294294294295294294294294294294294294294294294294293293293293294294294293293293294294293293294294294294294293293293293293294294293293293293292292292292291292292292292292292292292292292292292293293293293293294293294294293294293293293293294294293293294293292292293293293293293293292292292292292292291292291292291291291291291292292292292292292292292292292292293293294293293293293293293294293293293293293293293293293293293293294293293294293293294293293293293293292292291291291291291291291291291291291291291292291292292292292292292291291291291291291291291291291290290290290290290290290289290289289289289289289289289289289289289288288288288288288288288288288288287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303302303304304306305305305305305305305305304305306305305305305305305305303304305305305305305304304304304305305305306306306306305305305305306305306306306305306306306305305305305305304305304305304304304303303303303303303303303303302302302302302303302302303302303303303303304303303303304303302302302301301302302301301301302301302301302302303304303304304304305305305306306306307306308308309308309309309307308307306307999999999999999999999999999999999999999999999999999999304305304306307308308309309308310309309308307307308308307307307306307306306306306305305305305306305305305305304305304304303304304304304304303303304304304304304304304304304306304304304304304304304304304304304305304304304304305304304304304303303303303303303303302302302302301301301301301301301301301301301301301301301301301301301300300300300299300300300300300300300300300301302302301301300300300301301301299298298299302299299299300300300300300300300300302302302301302301300301302302302302301301298300301300300300300301299300300300300300301302301301302302302302302301301301301301301300301300300300300300300300300301301301301301301302302301301301301301301301300300299299299299299298298298298298298298298298298298298299299299299299299299299299299299299298299299299299299299299299298298298298299298298298298297297296296296296296296296295295295294293293294295295295296296296296295295295295295295294294294294294294294293294294293293293293293293293293293293293293293293293293293293293293293293293293293293293294293294294294294294294294294294294294294294294294294294294294294294294294294294295295295295295294294294294294294294294293293294294293293293294294294294294294293294294294294294294294294294293293293293293293292292292292292292292292292292291292292292293293294294293294293293293293293294294294293294294293293294294295294293293294294293293293293293292292292292291292292292291291291292291291291292292292292292293292293293292293293293293293293293293293294293293293293293293293292293293293293293293294294293293294293293293293293292292291291291291291291291291291292292292292292292292292292292292292292291291291292291291291291291291290290290290290290290290290289289289289289289289289289289289288288288288288288288288288288288288287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301302303304306305305305306305305305305305306306306306306306305305305304305305305305305305304305305305306305305306306305305304304305305306306306305306305306306306305306306305306305305305304304304304304303303303303303303303303302301302302302302302302303303302302303303304304304304304303303302302302301302301301302302302302302302302303304304304304304304305305305305306306307307310309308308308309307307306305306306306999999999999999999999999999999999999999999999999999999304304305307308308309309310309309309309308308308308308307307306306306306306306306305305305306305305304304304304304304304304304304304304303303304305304304305305305304305304305305304304304304303304304304305304304305304305305304304303304304303303303303303303302302302302302301301301302301301301302302301300301301301301301301301300300301301300301300300300300301301300300301302302301301301300300300300300300300300299299301300300300300301300300300300300301301302300300301301301302302301302302300299299300300300299300299299299300300300299299302302301301302301301301301301301301301300300300300300301300300300300300300301301301301301301301301301301301301301300300299299299298299298298298298297298297297297298298298298298299299299299299299299298298298298298298299299299299299299299298298298298298298298298297297296296296296296296296296295295295294293294294295295296296296296296295295295295295294294294294294294294294294294293293294293293293293293293293293293293293293293293293292293293293293293293293293293294294294294294294294294294294294294294295295295295294294294294294294294294294294294295295295295295294294294294294293294294293294294294294294294294294294294294294294294294294294294294294294294294293293293292292292292292292292292292292292292292292292293293293293294294294293293293293294293294293294294293293295294294294293293293294294293294293293293292292292292292292292291292292292292292292292292292292293293293293293293293293293293293293293293293293293293293293293293293293292293293293293293294293293293293293293293293292292292291291290291291291291290291292292292292292292292292292292292292292292292292292292291291291291291291290290290290290290290290289289289289289289289289289289289289288288289288288288288289288288288288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302302303305306306305305306306305305306307307307307306306306305305305306306305306305305305305305306306305306305305304304304304305305307307306305305305306306305305306306305305305305305305305305305304304304304303302304304303303302303302302302302302303303303303303302303303304304305304304303303302302302302302302302302302302303303303303305304304304305305305305306307307308308308308309308308308307306306306306307999999999999999999999999999999999999999999999999999999999999303304307308308308309308308309309308308309308308308308307306306307307306306306305305305305305304305305304305305305304305305305305305304304305305305305305305305305305305305305305305304305305305304305305304304304304304304304304304303303303303303303303302302302301301301301301301301301301301301301301300300301301301301301301301301301301301301300300300301301301300301301302302302302301300299299300300300300300300300299302300300301302300300300301301300300300301301303302301301302301301303301300299299300300300299299299299299300299299300300300300301301301301301300301301301301300301301300301301301300300300300301301301301301301301301301301301301301301300300299299299299298298298298298297297297297297298298298298298299299299299299299299299299298298299299299299299299299299298298298298298298298298297296296296296296296297296296296296295294294294294294295295296296296296296295295295295295295294294294294294294294294294294293294294293293293293293293293293293293292293293293293293293293293293293293293294294294294294294294294294295295294294294295294294294294294295294294294294294294294294295295295295295294294294294294294294294294293294294293294294294294294294294294294294294294294294294294294294294294293293293293293292292292292292292292292292292292292293293294293294295294294295294293294294294294294294294294295295294294294294294294294294295294294294293293293292293292291291291292292292292292292292293293293293293293293293293293293293293293293293293293293293293293293293293293292292292293293293293293293293293293293293293293292292291291290291291291291291291291291292292292292292292292292292292292292292292292292291291291291291291291290290290290290290290290289289289289289289289289289289289288289289289288289289289288289288288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303303304304304305305305305305306306307306307307306306306305306307306306305305305305306306306306305305305305304304304305306306307307306306306306306306306306306306306306305305305305306305305304304304304304303304304303303303302302302302303302303303302303303303303304304304304304304303303302303303302302302302302302303304304304303304305305306305306307306307308308309309309309310309309308307306306305306305999999999999999999999999999999999999999999999999999999999999303304306308308308309309310309309309308309308309309308308307307307306306306306305305305305305304304305305305305305305305305306306306306305305305305305305305305305305305305305305305305305305304304305305304304304304304304304304303303303303303303303302302301301301301301301301302301301301301301301301301301300300301300300301301301300301301301301300301301301301301300301303302302302301300300300300300301301301302300300300300301301302301300301301300300300300301301301301302301300301302302302301300300299299299299299300300300300300300300300301301301301301301301301301301301300301301301301301301300300300300300300301301301301302301301301301301301301301300300299299299299298298298298298298297298297297298298298298299298299299299299299299299299298299299299299299299299299299299299298298298298297297296296296296296296296296296296296295295294293293293294295295296296296296296295295295295294295295294294294293294294294294293294294294294294294294294294294293293293293293293293293293293293293293293294294294294294294294294294294294295295294294294294294294295295294294294294294294294294293295294294295295294294295294293294294293294294294294294294293294294294294294294294294294294294294294294294294294294294293293293293292292292292292292292292292292292292293293293293293293294294295294294294294294294294294294294295295294294295294294295295294294294295294294294294294293292292292291292291291292292292292293293293293293293293293293293294293293293293293293293293293293293292293293293292292292293293293293293293293293293293292293293292292292291291291291291291291291291291291291291292292292292292292292292292292292292292292291291291291291291291291290290290290290290289289289289289289289289289289289288289289289289289289289289289289289288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302303304304304305305305305306306306306306307307306306306306307307306306306306306306307306306306305305305305305305306307307306307307307306307307307307306306306306307306306306306306306305305305305304304303303304303303303303302302303303303303303303302302302303303303303303303304303303303304303303303302302303303303304304304304306307307306306307307307307308308309310310310309309308308307307305305304305999999999999999999999999999999999999999999999999999999999999999304306307308308308309309309309309308309308308308309308307307306306306305305305305305304304305305305305304305305305305305305306306306305305305306306305305305305305305305306306305306305305305305304304304305304304305304304303303304303303303303302302302302302301301301302302302302301301301301301301301301301301300300300300300301301301301301301301301300301301301302303303302302302301301300300300300301301303302302300300301301302301300299300300300300300301301302302301300301302300301302301300300300300300299299299300300301301302303303301300301301302301301301301301300300301301301301301301300300300300300300301301301301301301301301301301301301301300300300299299299299299298298298298298298297298297298298298298298298298298299299299299299299299299299299299299299299299299299298298298298298297296296296296296296296296296296296295295294293293293293294295295295296296296296296295295295295294294294294294294294294294294294294294294294294295294295295294294294294294293293293293293293293293293294294294294294294294294294294294294294294294294294294294293295294294294295294294294294294295295295295294294295294294294294294294294294293294294294294294294294294294294294294294294294294294294294294294294294294294293293293293292292292292292292292293292292293293293294294294293294294294294294294295294294294295294294295295295295295295295295294294295295295295294294294294293293293292292292291292292292292293293294293293293293293294293294294294294293293293293293293293293293293293292292293293293293293293293292293293293293293293293293292292291291291290290290290291291291291291291291292292292292292292292292292292292292292292292291291291291291290290290290290290289290289289289288289289289289289289289289289289289289289289289289289289289289289289289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301302303303304304305305305306306307307307308308307307307307307307307307307306307307307306306306306305305305305306307308307307308308307306307307307306306306305307306306306306306306306306305305305304304304304303304304304304303304304303303303303303302302303303303303303303303303303304304304304303302303303303302303304304304305305305306307307307307307308309309310312311310309309308308307306304305305304999999999999999999999999999999999999999999999999999999999999302304306308307308309309309309309308308308309308309308308308307307306306306305306305305304305304305305304304305305305305306305306306306305305306306306306305305305305305306306306306306305306306305306304305305304304304304303304303303303303303302302302302302302301301301302301302301301301301301301301301301301301301300301300301301301301301301301301301301301301301302304303302302302302301301301301301301303304303301301301302301300300301300301303302302303301301302301302301301302303301302301300301300301300300299299301300300302303303302301300301301301300301300300301301301301301301300301301301300300300300300300301301301301302301301301301301301300300300300299299299299299299299298298298298298298298297298298298298298298298298299299299299299299299299299299299299299299299299298298298298297297296296296296296296296296296296296295294294293293293293294295295295296296296296296295295295295294294294294294294294294294294294294294294294294294295295294295295294294294293293293293293293293293293293294294294294294295294294294294294294295295294294294294294295295295294293294294294295295294294294294293295295295295294293293293294294294294294294294294294294294294294294294294294294294294294294294294295294294294294294293293292292293293292293292292293293293293294294294293294294294294294295295295295295295295295295294295295295296295295295295295295295295294294295294295294293293292293292292292292292292293293294294293294294294294294294294294293294294293293293293293293293293293293292293293292292293293293293293293293293293293292292292291291291290290290290290291291291291290291291292292292292292292292292292292292292292292292291291291290291290290290290290290289289289289289289289289289289289288288288289289289289289289289289289289289289289289289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301301302303305305306306306307307308308308309308308308307307308308307307308308307307306306306306305305305306307307308307308308308307307307307307307306305304306306306306306306306306305305305305305305305304304304304304305304304304303303304303302302303303303303303303303304303303303303304303304304303303303303304303304304305304306306307307307308308309309309311310310310309308309309307306305304304305999999999999999999999999999999999999999999999999999999999999302304306308307308309308309309309309308307308309308307308308308307307307306306306306305305305305305305304305305304304305305305306306306306306306306307306306306305305305305306306306306306306306306305305305304304304304304304304304304304303303302303302301301302301301302302301301301301301301301301301301301301301301300301300300301301301301301301301301301301301302303303303303302301302302302302301301301302303302301301301302301300301301301301302304301303303303302301301302301301302302301301300301299300300300300300300300300301301302302302301300300300300300300300301301301301301301301300300301300300300301300301300301301301302302302301301301301301300300299299299299299299299298298298298298298298297297298298298298298298298298298298298299299299299299299299299299299298299298298298298297297297296296296296296296296296296296295295294293293293293293294294295295295296296296296296295295294295294294294294294294294294294294294294294294295295295295295296295295294294294294293293293293293293293294294294293294295294294294294294294294294295294294294294294294295295294293294294294294295294294294294294294295295294294294294293294294294294294294294295294294294294294294294294294294294294294294294294295294294294294293293293292292292293293293293293293293294294294294294294294294295294295294295295295295295295295295295295295295295295295295295296296296295295294295295295294294294294293293293292292293293293294294294294294294294294295294294294294294293293293293293293293292293293293293293293293293293293293292292292292292292293292292292291291291290290290290290291291291291291291291291292292292292292292292292292292292292292292291291290291291291290291290290289289289289289289289289289289289289289288289289289289289289289289289289289290290290289290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301303305306306306306306306307308309309309309308308307307308308308308307307307307307307306306306307307307308309308308308308307306306307307306306306305305306306305306306306306306306306306305305305305305304304304305304305305304304303303303303304304303303303303303303303304303303304304304304302305304303303305305306306305306306307307307307308309310309309310309308308308308308307306305304303999999999999999999999999999999999999999999999999999999999999999302304307307308308308308310309309309309309308309308309308308307308308307307307307306306306306306305304305305304304304304305306306306306305306306306306306306306306306306306306306306307306307306306306305304304304304304305304304303303303303303303302302302302302302301302302302302302302301302302302302301301301301301301301301300300301301300301301301302302302302303302303303304304304303303302302302302302302302302302302302302301301301302301303303303301301302302302301301302302302302301301302301300300300300299301301301301300300301300300301301301301301301301300300301301302301301301301300301300300301301301301301301301302302302302302301301301301301301300300300299300300299299299299299298298298298298298298297298298298298298298298298298298298298298298298298298299298298298298298298297297297297296296296296296296296296296296295294294294293293293294294295295296295295296296296296296295295295294295294294294294294294293294294294294294295295295295296295295295295295295295294294294294294294294294294294294294294294294294294294295294294294294295294294294294294294294293294294294295295295295295295294294294294295294294295293294294294294294294293294294294294294294295294294294294294294294294294295294294294294294294293293293293293293294294293293293294294294294294294295294294295295295295295296296295296296295296296296295295295295295296296296296296296296296296295295295294295294294293293293293293293293294294294294294294294295294294294294294293293293293293293293293292293293293292292292292292292292292292292292292292292292292291291291291291290291291291291291291291291291291291291291292292292292292292292292292292292292292291291291290290291291290290290289289289289289289289289289289289289289289289289289289289289289289289289290290290290290290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304305306306306307307307307308309308309309310308307307307307307308308307307307307306306306307307308308308308308308308307307306306307307307307306306306306306306306306306306306306306306306306306306305305305305305305305305304304303303304303304304303303304304303304303304304306306305305305305305305305305305306306306307307306307308307308308309309309309309309309309309308308307306305304303999999999999999999999999999999999999999999999999999999999999302303305307307307307308308309309309309309308307309309309308308308308307308307307307306306306306306305304304305305305304305305306306305305305305306307306306306306306307307306306306306306307307307306306306304305305304305305304303303304304303304303303302302302302302302302302302302302302302302302302302302301301301301301301301301301300301301301301302302302302302302303305304304303304304303302302302302303303301302301303303301302301302303302303302302302302301304304302301301302302303303301301300300300300300299300301301301301300300301301301302302302302301301301301300301301301301301301301301301301301301302301302302302302302302302302302302301301301301301300300300300300300299299299299299298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298297297297296296296296296296296296296296296295294294294294294294294295295295296295295296296296296296296295296295294295294294294294294294294294294295294294295295296296296295295295295295295295295295294294294294294294295294295295294294294294294294295294294294294295294294294294294295295295294294294295295295295295295295294294294292294294294294294294293293293293293293294294293293293294294294294294294294294294294294294294294295294294294294293294294294294294293294294294294294294294295294295296295295295295295295295295296296295296296295294295296296296296297296296296295295296296295295295295294294294294294294294294294294294294294294294295294295295294294294294293293293293293292293293293293292292292292292292292292291292292292291291291291291291291291291290290291290290290290290291291291291291291291291291291292292292292292292292292292292291291291291291290290290290289289289289289289289289289289289289289289289289289289289289289289289290290290290290290290290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999307306306307307308308308308308309309309310309308308307308307308308308307307307307307307308308308309308308308308307307306305306306307307307306307306306306306306306306306306306306306306306305305306305306305304305305305304304303304304303305304304305305305305305305305305305305306305305306306306306305306306306307307308307308308308306309309310310309308308309309308308308308307306304302999999999999999999999999999999999999999999999999999999999999303305306307307307308307308309309310309310309309309308308308308309309308309308308307306306306306305305305305305305305304305305306304305306307306306306307307306307306306306306306306307306307307306307306305305305305305305304304304304304304304303303303303303303302302302302302302302302302302302302302301301301301301301301301301301301301301301301302302302302303303304304305304303304303303302303303302303304303303302301302302302302301301301301302303302304301302303303303301300302302302301301301300300301300300299300301301300301302302302302301301303302301301301302301301301301301301301301301301301301301302301302302302302302302302302302302302301301301301301301300300300300300299299299299299299298298298298298298298298298298298297298298298298298298298297298298298298298298298298297297297297297296296296296296296296296295295295295294294294294294294294294295295295296296296296297296296296296296295294295295295294294294294294295295295295295295295295295296296296295296295295295295295295295294294294294295295295295295295295295295295295295294294295295294294295295295295295295295293294295295294294294295294293294294294294294294294294293293293293293293294294293293293294294294295294294294294294294295295294294294294294294294294294294294294294294294294294294294294294295295295295295296295295295295295295295295296295295296295295296296296297297296296296295296296296296295295295295295295294294294294294294294294294294295294295294295295295295294294294294293293293293293293293293293293292292292292292292292291292291291291291291291291291291290290291290291290290290291291291291291291291291291291291292292292292292292292292292292292292291291291291291290290290290290289289289289289288288289288289289289289289289289289289289289289290290290290290290290290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999306306307307307307307308308309309309309309309309308308308307307307307307307308308308309309309309308308308308308307306307307307307307308306306306307307306306307306305306305305305305305306305306305306306305305305305304304305304304304304305304304304304306306305305306306306306306306306306306306307306306307307308308308308309307310310310309309309308309308308308307307307306306303999999999999999999999999999999999999999999999999999999999303304306307307307307307308308308309309309309310310310308309308309309309309308308307307307307305305305306306305305305305305305305305306307306306307307307307307307306307306306306306307308307307307306306306306305305305305305304303304304304303303303303304304304303303303303303302302302303303302302302302301301301301301301302302301301301301301301301302302302303303303304304305304304304304303303303303302302302303301302302303302302303302301302301302304303302303302303303302301302302302302302301300300301301300301300300300301301301301301301301301302302302302301301301302301301302301301301301301301301301301301302302302302302302302302302302302302302302301301301301300300300300300300299299299299299299298298298298298298298298298297297297297298298298298298298298298298298298298297297297297297296296296296296296296296296296296296295295294294294294294294294295295296296296296296296296296296296295296295296295295295294294294295294295295295295295295295295295295296295296296295295295295295295295295294294294295295295295295295295295295295295295294294294294295295295295295295295295295294294294294294294294294294293294293293294293292293293293293293293293293294294293294294294294294294294295294294294294295294294294294294294294294294294294294294294294294294294294294294294294294295295295295295295295295295295295295295294295295295295296295296297296296297297295295296296296295295295295295295295294294294294294294294294295295295295295295295295295295294294294294293293293293293293293293293293293292292292292292292291291291291291291291291290290290290290290290290290291291291291290290290291291291291291292292292292292292292292292292292292292291291291291290290290290289289289288288288288288289289289289289289289289289289289289289289289290290290290290290290291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999315308306307307307307308308310309309310310309309309308309308308307307308308308308309309309309309308308308308308306306307307307307307307307305307307307307307307306305305305305305305306306306306305305305305304304305305305304304304304305305304304304305306305305305306307306306306305306306306306306306307308309308308309308309310310310310309309308309309307308307307999309306308304999999999999999999999999999999999999999999999999999999999304306307307307308308307307308309310309309309310310310309310309309310309308309308308307307307306306306306306305304305305305305305305306306306306306306306307307306306306306306307307306306306307307306305305305305305304305305304304304304303303303302304304304304304304303303303303303303303303303303302302302302301302301301302301301301301301301301301302302301302303303303303303304304303303302304304304302302303303302302302301301302302302302302302302303302303304304304304304303303303303302302301301300301301301301301301301301300301301301301302302302302302302302302302302302302302302302301301302302302301301302301302302302302302302302302302302302302301302301301301300300300300300300299299299299299299299298299298297298298298298298298298298298298297298298298298298298298298298297297297296296296296296296296295295296296296296296295295295294294295294294295295296296296296296296296296296296296296296296296296295294295295295295295295295295295295295296295295296296295296295295295295295295295295295295295295294295295295295295295295295295295294294294294295295294295295295295295295294294294294295295294294294293293293293293293293293292292293293292293293293293294294293294294294294294295295294295294295295295295295294294294295294294294294294294294294294294294294294294294295295295295296296296295295295295295295295294294295295295295295295296296296297297297296296295296296296295295295295295295295294294295295295294294295294295294295295295295295295294294294294294294294293293293293293293293293292292292292291291291291291291291290290290290290290290290291291290290290290291291290290290291291291291291291291292292292292292292292292292292292292291291291291290290290289289289289288288288288288288289289289289289289289289289289289289289289290290290290290291291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999309307306306307307308309309309310309309309309310309308308308308308308308309309309309309309308308308308307307307307307307307307307307307307307307307307307306305305305305306306306306306305305305305305304304305304305304305304304304306305304304305305305305306306306306306305305306306305306306306307309309308309309308309310310310310310308308309309308308307307999999305305305304999999999999999999999999999999999999999999999999999999306308308306307308307308308309309309309309309309309309310309309309309310309308308307307306307306306305306306305305306305306306306306306307307307306306307308307306306306305306306307306306306306306306305305305305305306305305304305304304303304303303303304304304304304304304304303303302303303302303303302302302302302301301301301301301301302301302302302302301302302302303303303303303303303303303303303303303302303302301301301302302302302303302302302303303302304303304304304303303303304303303303301301301302301301301301301301301301302302301303302302302302302302302303303302302302302302302301302302302301301301301301302302302302302302302302302302302301301301301301300300300300300300299299299299299299299299299299298298298298298298297297297297297297297297298298298298298298297297297296296296296295295296296296295296296295296296295295295294295295295295295296296296296296296296296296296296296296296296296296295296295295295295295295295295295295296296296295295296296296295295296295295295296295296296295295295295295295295295294295295295295295294295294294295294295294295295295295294294294295295295294293293294293293293293293294293293293293293292292293293293293294294294294294295295295295295295295294295295295295294294295295295294295294294294295294294294293294294294294294295294296296296296295295295296295295295294295295296296296295296296297296297297296296296296296296295295295295295295295295295294294295295295294294294295295295295295295295295294294294294294294294293293293293293294293293292292293292292292291291291291290290290290291290291290290290290290291290290291291291291291291291291291291291292292292292292292292292292292292292292292292291291291290290290289289289289288288288289289289289289289289289290290290290289290290289290290290291291291291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999307305305306307308309309309309309309309309309309309309308308308308309309309309308309309309308308308308307307307307307307307308307307307307307308307306306305305305306305305306306306306306306305305304304304304304304304304305305305305304305305305305305306306306305306305305306306306307306307309309309309308309308308308309309309309309308309310309308307307999999306305305303999999999999999999999999999999999999999999999999303306308308307308307307307308307309309308308308309309310310311310309308310310310309309308308307308307306306306305305306306306306307307307306307307307306307308308307306306306305306306306306306306306306306305305305305305305305304304304304304304304303303303303303304304304304304303304304303304303303303303303303302303302302302302302302302302302303302302302302302302303303303303303303303303304304303303302303303302301302300301301302302302304304303303303302303303303304303303303303303303303303302301301301302303302301301301302302301301302303302302302302302302302302302301301303302302302302302302302302301302302301302302302302302302302302302302302302301301301301301300300300299299299299299299299299299299299299299299299298298298298297297297297297297297297297298298298298298298297297297296296296296295295295295295295296296296296296295295295295295295295296296296296296296296296296296296296296297297296296296296296296296295296295296295295296296296296296296296295296296296296295296296296296296296296296296296295295295295295295295295295295295295295296295295295295295294295295295295294294295294294294295295294294294293293293293293292292293293293293293292294293293294294294295295295295295295295295295295295295295295295295295295295295295295295295295294295295295293293294294294295295295295296295296295295296295295295295295296295297296296296296297297297297296296297295296296295295295295295295295295295295295295295295295294294294295296295295295295294295294294294294293294293294293293294293293294293293293293292292292291291290290290291291291291291291291291291290291291291291291291291291291291291291292292292292292292292292293292293293292292292292291291291291291291290290289289289289289289289289288289288289289289289289289289289289289289289289290290290290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303303304306308308309310310309310310310310309309309309308309309309309310310309309309309310309308308309308308308307308307308308308308307307308307306306306306305306306306306306306306306306305305305304305305305304305305305305305305305305306306306307305305305305305305305306306307307307308309308308308308307307307308309309309309310309309309308308307307999999999307308999999999999999999999999999999999999999999304303301303307308308307307306306306306307308307309308308309309309310311309309309310309309309309308308308307307307306306306306306307306307307307307307308307307306307308307306306305305306306306305306306306306306306306306305305305305305305304305304304304304303303304304304303304304304304305305304304304304304304304304303303303303303303303302302302302302303303303303302302303303303303304303302303303303302302302301302302302301301302302300301302302304303304303302302302302303303304303303304304303303303302302301303302302302302302302302301302303303302302304303302303302302302302302302303303302302302302302302302302302301302302302302302302302302302302302302301301301301301300300300299299299300299300299299299299299299299299299298298298297298297297297297297297297297298298298298298298298297297297296296296296296295295295295296296296296296296296296295295295295296296296296296296296296296296296297297297297297297296297297296296295296295296296296296296296296297297296296296296296296296296296296296296296296296296296296296295296295295294295295295295296295296296296295295296295295295295295295295295295295295295295295295294294294293293293293293293292292293293293292293293294294294295295295295296295295295295295295295295296295295295295295295295295295295296295295295294295293294294293294294295295296296295295295296296296296296295295296296296296296296297296297297297297297296296296296296295296296296295295295295295295295295296295295295295295296296295295295295295295294294294294294294294293293294294293294294293293293292292292291291291291291291291291291291291291291291291291291291291291291291291291291291291292291292292292292292292292292292292292292292292292291291291291291290290289289289288288289289288288289289289289289289289289289289289289289289289290290290290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301302303306307309310308309309310310310310309309309309308308309309310309309308309310310309309308308307308308307308308308308308308308307307307306306307306306306306306306306307307307307306306306305305305305305306305306305306305306306306306305305304305305305306305306306308308307308308308309309308308307307308309308309310310309309309308309308307309999999999999999999999999999999999999999999999999999999304305305305306308309308308307306305306307308308309310309310310309310310310310309310310309309309308308308308307307307307306307307307306306306307307308308308307307306307308307306306307306306305306305305306306306305305305306305306305305305305304305305304304304304304305304304304304304304304305305305305304304304304304304304304303303302303303303303303303302302302303303303303304303303304304303302303303304303302301302305302301301304303302301302302304304303303302302303304302303303304304304304304304303303302302301303302301301302302301302302302302302303303304303302302302302303303303302303303303302302302302303302302302301302302302302302302302302302302302302301301301300300300300299299299299299299299299299299299299299298299299299298298298297297297297297297297297297298298298298298298297297297297296296296296296295295295295296296296296296296296296295295295295296296296296296296296296296297296296297297297297297297297297297296296296295296296295296296297297296297297296296296296296296296296296296296296295296296296296296296296296295295295296296296296296296296296296296296296296296296296295295294295295296295295295295294294294293293293293293293293293293293293293294293293294294295295295296296296296296296296296295296296296296296296296296296296296296296296295295295295294294293294294294294294295296295295295296296296295296296295297297297297297297297297297297297297297297297297297296296296296296296296295296296296295295296296296296296296296296295295295295295295294294294294294294294293293293294293293293293293292292291291291291291291291291291290291291290290291290290291291291291291291290291291291291291291291292292292292292292292292292292292292291291291291291290291291291290289289289289289288288288289289289289289289289289289289289289289289289289290290290290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301301303305307307308308308308309310310310310310309309309309310310310309308308310310309309308308308307307308307307308308308308308307307307306307306306306306306306306306305307306307307307306306305305305306305307306306306305305306305305306305305305305305305306305306307307308309309308308309309310309309308309309309310309309309309308309308309308308309999999999999999999999999999999999999999999999999303305305307307310309309308307308307307304307306307309309310310310310310310310310311310310310309309308308308308307308306307307308308307306307306307307308307308307307307307308308306308308307306306306306306306305306306306305306305305305305305305305305305304304304305305305305304304304304305306306306305305305304304304304304304303304303303302302302303303303303303303304303304303303303304303303303303303303303302302302304305304302302303302302302302302303303301301301302303304303304304304305305304304303302303301302304303302303303303302302302302302302303303303304303303303303303303303303302303303303303303302302302302302302302302302302302302302302302302302302302301301301301300300300300299299299300299299299299299299299299299298298299298298298298297297297297297297297297298298298298298298298297297297297296296296295295295296296296296296296296296296295295296296296296296296296296296296296296297297297297297297297297297297297297296297296296296296296296296297297297297296296297297296297297297297296297296296296296296297296297296297297296296296296296296295296296296296296296296296296296296297296296295296297296295295295295295295294294294294293293294293294293292294294294294294294295296296296297297297297297297296296296296296296296296297296296297297297296296296295295295295294294294294294295295295296296296296296296296296296296295296297297297297297297297297298297297297297297296297297296296296297296296295295295295295295296295296296296296296296295295295295295294294294294294294294294293294293293293293293293293293293292292291291291291291291291291290290290290290291291291291291291291291291290290291291291291292291292291292292292292292292292292292292292292291291290290290291291291290290289289289289289288289289288288289289289289289289289289289289289290290290289290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302303305306307308307308308308309309310310310310310309309310310309310308309311310310309309309308308307308308308308308308308308307306306307306306306306306307306306305305306305306307306306305305305306306306305306305306306306305305305305306306306305305305305304305306307308308309308307308308310309309308309309310309310310310310309308307308308307308999999999999999999999999999999999999999999999999999305305307309310310309308308307307307305306307309310309309310310310310309310310311310310310310310310310309309308308309308308308308307307307307307308307306307308307308308308308308308308307307307307306306306307306306305305304305305305305306306305305305305305305305306305305305305305306307307305306306306305305304304305304304303303304303304304303303303303304303303303304305304304304304304303302304303303303303303304304305304303303301301301301303302303303302301301301302304305305305305305304304304304303304304304303303303302303303303302303303302303303303303304303303304304303303304304303303304303303303303303303302303303302302303302302302302302302302302302302301301301301300300300300300300300300299299299299299299299299298299298299299298298298298298298298298298298298298298298298298298298298297297297297297296296296296296296296296296296296296296296296296296296296296296296296296296297297297297298297298298298297297297297297297297297296296296297296296297297297297296297297297297298297297297297297296297296296296296296297297297296296296296296297297297296296296297296296296296297297298298297297297296297298297296295295295295295294295294295294294294293293292293294294294294293295295296296296296297297297296296296296296296296296296296296297296296297296296295295294294294294293293294294294295295296296295295295295295295295294296295296296297297297297297297298298297297297297297297297296297297296296296296295296295295296296296296296296296296296295295295295295295294294294294294294293294294293293293293293293293293293292293292292291291291291291290290290290290290290290291290291291291291291291291291291291292292292292292292292292292292292292292292292291291291291290290291291291291291290290290289289289289289289289289289289289289289289289289289289289290290290289290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304304305306307308308307308308309310310310310310309310311310309310309309310310311311309309308308308308308308308308308307307307307307307307306306306307306305305305305305306305307306305305305306306306306305305306305306305306306305306306306306305305305305305305306306306308307307306308309310311309309309309308308309309309308308308308310309307306999999999999999999999999999999999999999999999999999304305308310309308309308307307307306306308307309309309309310310309310310310310308310311310311310310309309310309309309309308308309308308307306307308308307306307308307308308307308308308308308307307306306306306305306305305304305305305305305305305305305305306305305305305305305305306306306308307306306306306305306305305305304304304304303305303304304303304304303304304305305305304304304303303303303304304304304303303305304305304305302300300299303302303301301301302302303304304305305305304304303303303304304304304302304303303303304304304304304304304304303305304304304304303304304304304304303304304303304304303304303303303303303303303303303302303302303302302302302302302301301301301300301300300300300299299299299299299299298299299299299298298298298298298298298298298298298298298298298298298298297297297297297297296296296296296297297296297297296296296296296296296297297297297297297296297297297297298298298298298298298297297297297297297297297297296296296296297297297296297297297298297298298297297297296296296296296296297297297297297296296296296297296296296296296296296296296296297297297298297297297297298297296296295295294294295294294294294295294294294294293294293293293294294295295296296297297296297296296296296296296296295295296296295296297297297296296296295294294294294294294294294294294295296296296296296295295295295295296296296297297298297297297298297297297297297297297297297297296296296296295296296296296296296296296296296296296296296295295296296295295295294294294293294294293293293293294293293293293293293292293292293293292291291291290291290290290290290290291291291291291291291291291291291291291291291291291292292292292292292292292292292291291291290290290291291291291291291290290290289289289289289289289289289289289289289289289289290290290290290289289290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304305306306306307307308308309309310310310310309310310309309310310310310309311311309308309309308308308308308308307307307307306307306306306307305306306306306306306306306306306306305306306305306306305306306305305305306306305305305306306305305305304305304305305305306307307306306307307309310309309308309308309308310309308308308308309308306305999999999999999999999999999999999999999999999999305305306308309309309309308308307307309308308309308308308308309309309310309310311310311311310310310310310310310310309309307308307308308307307307306306307308308308308307308309310309309308308309308306306306305304304305304305304305305305306306306305305305306306306306305306306306306307306307307307307306306306306306306306305305304304304305305304304305303304304304304305304304304305304303303303303303303302302304303304302303305303304301301301302302302300300301301302303304304304305305304304303303303304304304304303302304304305304304303303304304304303304303303303304304303303303304304304303303303303303303303303303303303303303303303303302302303302302302302302302302302302301301301301301301300300300299299299299299299298298298298298298298298298297298298298298298298297297298298298298298298298297297297297297297296296296296296296297296296296296296296296296296296296296297297297297296296297297297297298298298298298298298298298297297297297297296297296296296296296297297297297297298298298298298297297297297296296296296297296297297297297296297296297297296297297297296296296296296296297297298298298298298298299298297296295295295295295293294295294294294294294293293293293293294294295295296296296296296296296296296296296296296296296295295296296296295296295295295295295294294294295295295294295295294295296296296296296295295296296296296296297296296297297297298298297298298297297297297296296297297296296296296296296296296296296296296296296296296296295296296295296296295295294294294294294294293294293293294294293293293293292292293293293292292291291291291291290290290290290290291291291291291292292292291291291291291291291292291292292292292292292293292292292292291291291291291291291291291291291291291290290290290290290290290290290290290290290290290290290290290290289289289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305305305305306307308308308309310311310310310310310309309310309309309309309310309309309309309309309308309308308307307307307307306307307307306306306307306306306306305306306306306306305305306305305306306305305305305305306305305306306305306305306306305305305305306306306305304305308309310310309309309309309307309310308309308307309308306305999999999999999999999999999999999999999999999999304306307306307308309309307307307306309310308307309309307308308308309310310310311310311310310311311310310309310309309308308306307307307307306306306306306307306307308307309308308308308308308308307308306306304304304304303305305305305305305305306306305306305305305305305305306306306308308308307307307307307306306307306305305305305305305306305305303304304304305306305305304304304304304304303303303303303302305305303302302305304304303301301301299301299300300301303301302304304304304304304303303303303303303305304304303302303304304304304304303305304304304303304304304304303303303304304303303303303303303303303303303303303303303303303303303302303303303303302302302302302302302301301301300300300300300299299299299299299298298298298298298298298298298298297297298298298297297297298298298298298298297297297297296297296297296296296296296297296297297296296296296296296296296297297297297296297297297297297298298298298298298298298298297297297297297297296296296296296296297297297297297298298298298298298298297297296296296296296297297297297297296297297297297297297296296296296296296297297297297298298299298298298299299297297296296295295295295295295295294294294294294294294294294294294295295295295296296296296297296297297297297296296297296296297297296296296295295295295296295294294295294295295295295295296295296296296296295296296296297296296296297297297297298298298298297297297297297297297297296297296296296296296296296296295296296296296296295296296295296296296295295295295295294294294293293293294293293294293293292293293293293293293293292292291291291291291291290291290290290290291291291291291291291292291291291291291292292292292292292292292293292292292292291291291291290291291291291291291291291291291291290290290290290290290290290290290290290290290290290290289289290290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304304305305307307308308309309310310310310309310309310310309309309309309309308308310309309309309308308308308307306307307308307307307307307307307307307307306305305305306306306306305306305305305306306306305305306305306306306306306306306306306305305306306306306305306303306306308309308310309309309308307308308309308309307307306307306305999999999999999999999999999999999999999999999300302304307306307309309309308307308309309308308307309308307308308309309309310311311310311310310311311310310310310309309308309307307307306307308307307307307307307307307308308309308308307308308308306306306305305305305304304304305306305305306306306306305306305306305305305305306306307308308307307307308307307307307307306306306305305306305305305305305305303305305306307305304304304303303303303303302304304304304304302303304303304302302302302301299300300301301302302302303303304304303303302302303303303303304304304304302303303303303303305304304303304304304303302303303303303303304303303303303303303303303303302303303303303303303303303303303302302303303303302302302302302302302301300300300300299300299299299299299299299298298298298298298298298298297298297297297298298298297297298298298298298298298297297297297296297296296296296296296296296296296296297297296297297297297297297297297297297297297298298298298298298298298298298298298298297297297296296296296296297296297296297297297297298297297297297297297296297297297297297297297297297298297296297297297297296297297297296296296297297297298298298299299299299299299298297296296295295295296296295295295295294294294294294294294294295295295296296296296296296296297297297297297297297296298296297296296296295296295297295296295295294294295295295295295295295295296297297296295296297297296296296297296297296297296298297297297297297297297297297297296297296296296296296296296296296296296296296296296296296296296296296296295296295295295295294293293294294294294293294293293293293293293293293293293292291292292291291291291291290291290290290291291291291291291292292291291292292292292292292292292292292292292292292292291291291291291291291291292292292292292292292291291291291291291291291291291291291291290290290290290290289290290289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303305306307307307309308308310310310310310310310310310310309308309309309308309309309309308308308308308307307307307307308308308307307308307307307307307307305306306307306306306306306306305306306306306306306306306307307307307307307307306306305305305304305306305305305307306308309309310309309308308307307308308307308308309307306306303304999999999999999999999999999999999999999999299302305306305306308307308307307307307309309309309309308308307308309309309310311311310311310310310310310309309310310311310309308306307307307307307306308308308307307308309309309308308308308308307308306306306305304305307304304305305305305306306306306305305305306305305305306306306307307307307306307307307307307307306306306306305306305305305305304304304305304305306306305305304303303303303302302302304302303304303302303303302302302301301302301300301301301301302303303303303304304303303302302304303304304304304304303302302302302302303305305304304303304304303302303302303303303303303302303303303303303303302302303302303303303303302303303303302302303303303303303302302302301301301300300300300299299299299299298299298298298298298298297297297298298298297297297298298298298297297297297298297297298297297297297297297296297296297296297296296296297297297297297296297297296297297297297296297296297297298298298298298298298298298298298298298297297297297297297296296296297297297297297297297298297297298297297297296297297297297297297298297297297297297296297296296296297296297296297297296297297297298299299299299299299299299297297297296295295295296295295295295295295295294294295294295295295295295296296296297297297297297298298298297297298298298297297295295297297297298296296295295294294294295295295295295295295296296296297296296297297297297297297297297297297297298297297297298297297297297297297297297296296296296296296296296296296296296296296296295296296296296296296296296295296295295295294293294294294294294293293293293293293293293294293292292292292292292292291291291291291291291291291292292292292292292292292292292292292292293292293292292292292292292291291291291291291291291291291291291291291291291291291291291291291291291291291291290291291290290290290289289289289289289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305306306307306307309309309309310311310310310310309310310309309309309308308308308308309308308308308308307307307307307308308307307308308307307307307307306307306307307306306307306306307306306306306305306307306307307307307307307306307306306306304304305305306305306307308307308308309310307306306308307307308307307307307306306305304304303999999999999999999999999999999999999999999999301304303302303304305307307307307306307308308309309308308307307309310311311311310310310309310310310310309310310309311310308307306307308308308307307307308309307308308308308310309308307307308308307306306306304304305306304305305306306306307306307306305305305305305305305305306307307307307307307307308308307307307306307306307307306306306306305304304305306305304305305305304304304303303303303302302303302302302302301301301301300301300300300301302301300302302300303303303303304304303302302303302303304303303303303304302302302302303302304302302303303303303303302303302303303302302303302303303303302303303303303302303303303303302302303303303303303303303303303303302302301301301301300300300299299299299299299299298298298298298298297296999297297297297297297298298298298297297297297298298298297297297297297297296296296296297297296297297297297297297297297297297296297296296297297297297297297297298298298298298298298298298298298298298297297297297297297297297297297298298298297297297298298298298298297297297297297297297297297296297297297297297297296297297297297297297297296297297297297297298298299299299299298299299298298297297296296296295295295295295295296295295295295295295295296296296296296296296297297297297297297297297297297297299299298298298296297298297297298297296296295295294295295295295295295295296296296296297297297297297297297297297297298298297298297297297298297297297297297297297297297297296296296297297296296296296296296296296297296296297297297297296296296296296296295295295295294294294294294293293293293293293293293293293293292292292292291291291291291291291291291291292292292292292292292292292292292292292292292292292292292292292291291291291291291291291291291291291291291291291291291291291291290291291291291291291290291290290290290290290290289289289289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305305306306307307309310310310310310310309310309309308309309309309308308307307307308308308307307307307307307307308308307307307308308308308307307307307307307306306307306306307307307307307306306307307307307307307307307308308307307307307306306306305305305306305305306305307308308309310308307306307307307308308306306307306305305304303302304999999999999999999999999999999999999999999302303302302300301304305306306306305305307308308308308308308308309310310310310311310311310310311310310309309309310310309309308308307308307307309309309309308308309308309310311308308308306308307306307307306306305306306306305306306307307307306307306305306305305305305306306307306306307308307307308308307308307307307308307307307307307306306306305305305306305304304305304304304303303303303303303303304302302302302302301301302301302302300301301301301301301302301303303302304304304303303304302303303303303303303303302302303303302302302303302301302302302303302302302301302302302302303303303303303303303303303303303303303303303303302303303303303303303303303303303303302302302301301301300300300299300300299299298298298298298298298297297297298297298297298298298298298298298297297297298297297297297297297297297296296297296296297297297297297297297297297296296296297297297297297297297297297297298298298298298298299298298298298298298298297297298297297297297297298298298299298297297298298299299298298298297297297297298297297296297297298297297297297296297297297298297297298297297298298298297298298298299300299299299298297297297297296296296296295295295295295296296296296296295296296295296296296296296296297298297297298299298297297297297299299299299298299299297298298297297296296295295296296295295296296296296296296297297297297297297297297298298298298298298297297297298297297297297298297297297297297297297296296297297297296296296296296296296296296296296296296297296296296296296296295295295294294294294293294293293293293293293293293293293292292293292292291291291291291291291291291291292291292292292292292292292292292292292292292292292292292292292292292291291291291291291291291291291291291291291291291291291291291291291291291291291291291290290290290289289290290290289289289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304305306307307307309310310310310309310309310309308308309309309308308307307307307307307307307307307307306307307308307307307307308308308307307307307307306306306306306305306306306306306307306306307306307308308308308308307308307307307306306305306305304305305305305305306306308308308306306307307307307308307306305303306306305304303303303303999999999999999999999999999999999999999999999303302999999301302304304304304304305306307307307308308309309309310310311310311311310310310310309310310310309310310310309309309308308308309309311310310309309310309308309310309308308308309308308307307306307307306306306306306306306307307307308306306306306305306306307307307307307306307307308308308308308308307308308308308308308307307307306306305305306305305303304304304304304303303303304304304303303303301301302302302302303302302301300301302302302301301303303303303303304304304303304303303303304304303303303302303303303303303303302303303302302303303302302302302302302302303304303303303302302303303303303303303303303303304303303304303303303303303303303303302302302302301301300300301300300300299299299299299298298298298298297297298298298297298298298298298298298298297298297297297298297297297298297297296296297296296297297297297297297297296297296297296297297297297297297297297297298298298298299298298298298298298298298298298298299298298298298297298298298299299299298298299299298299298298298298298298297297298298298298297297298298298297297298298298299297298298298298298298298299298298297299300300299299298297297297297297296296296296296296296296296296296296296296296296296296296297296296296297296297298299299298298298298298298299299298299298299299299298298297297297296296296296296296295295296296296296296296296296297297297297297297297297297297297297297297297297297297297297297297297297296296297296296296296296296296295296296296296296296297296297297297297296296296296295295295294294294294294294293293293293293293293293293292292292292292292292292292291291291292292292291292291292292292293292292292292292292292292292292292292292292292291291291291291291291291291291291291291291291291291291291291291291291291291291291291290290290290289289289289290289289289288289288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305306307307307309309310310310309309309309308309308309309309308307307306306306306307307307306306306306307307307307308307307308307308308308308308307307307307307306306306306306306306307307307307307307307308307308308307307307307306306305305305305305304305306305304306306306307306305305305305305307308308308304304304304304305304304306303999999999999999999999999999999999999999999999302303302999301304304302303303304306306307307307307308308309309309310310310310310311310310309309309309310310310310310311309308309309309309309309309310311310309309308308309309309308308309309308307308308307307307307306306306307307307307308307307307307307307307307307307307308307307307308308308307308309308307308308308308308307308308307306307306306307306305305304304305304304304304306306305306305306305303301302302300300301303301300300301302303301302302303302304303304304304304304304303304303304304303303303303302303303304305304303304303303303303303303303302302302302302303303303304304303303303304302303303303303303303303303304303304303303303303303303303303302302302302302301301300300300300299299299299299299299298298298298298298298298298298299299298299298298298298298298298297297297297297297297297297297297297297297298297298298298297297297297297297298298298298298297298298298299299299299299299298299299298298299299298299298299298298298298298299299299299299299299299299299299299299299299298299298298299299299299299298298298298298298299298299298298298299299299298298298298298298297298298299299297297297297297297297297296296295296295295296296295296296296297296296296296296296296296296296296297296297297297297297298298298298298298297298298298298298298298298297297297296296296296296296296296296296296296296296297297297297297297297297297297297297297297297297297297297297297297297297296296296297296296296296296296296296296297296296296296296297297297297297296296296296295295295294294294294294293293293293293293293294293293292292292292292292291291292292291292292292291291292292292292292292292292292292292292292292292291292292292292292292291291291291291291291291291291291291291291291291291291291291291291291291291290290290290290290289289289290290289289289288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304304306306307308308309310309309308308308308309308308308308307308306306306306306306307307306306306306306306306306307307307307307307308307308308308308307307307307307306306306306306307307307307306307307308307308308307307307307307306306305306306305305306306305305305307306307307306305306305306308307308308310305304307306305305303305303302301999999308309307999999999999999999999999999303303999303304303301302304305306307307307308308308308308309309310310309310310310310309309309309309310309310310311309309309309309310309308308308309310309309309309308308308310308307308307308307307308307306307306306306306306307306306307306307307307306308308307307307307307307307308308308308308308308308308307309308307308308307307307307307306307306307306305308305305304305306307306307307306306306303302303302302302302302301301301301302303302302302303303305305304305304305304304304304305305304303303303303302302303304304304304305305304304304304303302303302302302302302303303304304303303303303304303303303303303303303304304303303304304303303303303302302302302302302302302301301300300300300299300299299299299299299298298299299298298298298298298299298298299298298298298297297297297297297297296297297297297297297297297297297297297298297297297296297297297297298298297298297298298298299297298299299298298299299298299298298297297298298298298298298298298299299300300300299299300299299299299299299298298298298298297298298299298298297298298297298298298298298297299299299299299298298298298297297297297297297297297297297296296296296295296295295296295296296296296296296296297296296296296296296296297296297297297298298298298298298298299299298298298298298299298299299298297298297297296296296296296296296296296296296297297297297297297297297298298298298298297298297297297298298297297297296297297296296296296296296296296296295295296296296296296296296297297297296296296296295296295294294294294294293294293293293293293293293293293293293293292292292292292291291292292292292292291292292292292292292292292292292292292292292292292292292292292292292292292291291291291291291291291291291291291291291291291291291291291291291291290291290290290290290289289289290290289289289289289288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304304305306307308308309308309308308309309309308308308308307307307306306305306306306306306306305306306306306306306307307307307308308308308307307307307306306307306306306306306306306307307307307307307308308308308308307307307306305305306306307306306305305305306305307307307307307305307306307307308308308309305306307307306305304305304304303999999999309306303999999999999999999999302302303999304304304303304303305306307307308308308308309309310309309310310310310310310310309310309309310310310310309309309309309309310310309307307308309308309310309309309307309309308307307307307307307307306305306305306306306306306307307306307307307307307307307307307307307307307308308309309309309308309309308308308308308307307307306306306306307306306306306306305306307307306306307307305305306305304303303303304304301302303303302302303303301302302304304304305306305304305304304304304304304303303304304303303303302304303304303304305304304302303303302302302302302302302303303303303303303303304304304303303303303304304304304304304304304303303303302302302303302302302301302302300301301300300300299299299299299299299298298298298298298298298298298298298298298298298297298298297297297297297297297297297297298297297297297297297297297297297296296297297297297297297298298298298298299299299299299299299299299299299299299298298298298298298298298298298299299299300300300300301300301300300300299298298299298298299299298298298298296297298298298299298298298298299299299299299299299299299298298298297297297297297297297296297296297295295296296296295296297296297297296296296296296296296298296296297296297296297298297297297298298298298298298298297298299297298298297298298299298298298297297297297297296296296296296296296297296297297297297297297298298298297297298297297297297297297297297296296296297296296296296296297296296296296296296296296296296297296298297297296296296295295296295295294295294294294294293293293293293293293293293293293293292292292292291291291291292292292292292292292292292292292293293292292292292292292292292292292292292292292292292292291291291291291291291291291291291292291291291291291291291291291290290290290290290290290289289289289289289289288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303304305306308308309309309308308308309308308307308307307306307305305305306306306305305306307306306305306306306306307307307307308307308308308306307308306306306306306305305305306306307307307307307307308308308308307307308307307307306306306306306304305307306305305305306306306306307306307307307308307306306305306306306305305306304305306304303999999305304302304999999999999999999302303303302303304303303303304305306306307308308309310309309310310310309310310310310310309309310311310310310311311309310310309309310311311310308308308309307308309308308307308310309308308308308306306307307308307305306305305306306306306307308308308308308307307307307307307308307307308308309308309309308309308308308309309308307306307308306306306307307306307307305308307308308308308307307307306303304304302305304305304303302303302301303303301304303303304305304305305305306305304304304305303304303304305303303303303303303304305304304304304303303303303303303302302302303303303303303303303304305304304305304305304303304304304305304304304304304304303303303303303302302302302302302301301301300300300300300299299299299299299299298298298299298298298298298298298298298298297297298298298297297297297297297298297298298297297298297298297298297297297297297297298298297297298297299299298298299299299299299300299299299300300299299298299299298298298298298298299300300300300300301301301301301300300300299299299299298298298298298297298297299299298299298299299299298298298299300300299299299299299298298298297297297297297297296296297296295294295296295296296296296296296296296296296296297297297296296297297298298297298297298297296296297297297298299299299297298298298296297298299298298297298297297297297296296296296296296296296296297297297298298298298298298298298298298297297297298297297297297297296297297296296296296296296296296296296296296297296297296297297297296296296295295296296295295295295294294294294293293293294293293293293293293293293293293292292292292292292292292293292292293293293293293293293293292292292293293292292292292292292291292292292291291291291291291291291291291291291291291291291290291291290290290290290290290289289289289289289289289289289289288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303305305306307309309309308308307308308308308307308307307306305305304304305305305305305305305306306306306306307307307307308308308309308308308307308307307306305306306306305305305306306306307307307307308308308308308308308307308308307307306306306306306307307307307305306306307306307306308306307306305305306304307305305306306305305305305306305999999305303304999999999999999999999302302303302302303303302302303304306306307307307309310310311310310310309310310310310309309309310310311311310310310310310310309310311311309310309308308308307307308308308308309308308309307309308307308306308307307306306306306306306305306307308308309308308308308308308307308308308308308308309308309309309308309309308309309310307307307305305307307307306309309307306306308308308307307307306307304304304305304304305304303302302302301302302302302303303303304305305304306306305306305305305305304304304304304304304304304304304304304305304304304304303304303303303302303302302303303303303303304303305305306305305305305304305304304305305305305304304304304303303303303303303303302302301301301301301301300300300299299299299299298299299299299299298298298298298298298298298298297297297298297297297297297297297296298297298297297298298298298298297297298297297297298297298298297298298298299299299299300300300299300300299300299299299299299298298298298298298299299299299300300300301301301301301301301300299299299299298298298298298298298298298299299299299300299299299299299300300300300299299299299298299297297297297297297297296296296296294295295295295296295296296296296296296297297297297297297297297297297297298297297298297297299297298298298298299299299297298298298297298298298298298297297297297297297297297297296296296296296296297297297298298298298298298298298298298298298297297298297297297297297297297297296296297297296296296296296297297297297297297297298297297297296296295295295295295295295294294294294293293293294293293293293293293293293292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292291291291291291291291291291291290291291291291291290290291291291290290290290290290290290290289289289289289289289289289289289288288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303304305306307308308308308308307307308307307307306306306305305305305304304305304304305304304305305306306306307307307307307308308308308308308307307306306306306305305305305305305307306306306307307306307307308308308307308308308308308308308307307307306307308307307304307306305307306305308307307306304304304305305306307306305305305305305306307307306305302999999999999999999999999999300301301301301302302302303304304306307308308309309310310310310310311310310310310309309310310310311310311310309310310309310311310310310310309309307309309308308309308308309310310309309309308307308308308307307307307307307307306306306307308309310309309309308308309308308308308309309308308309308308308308308307307307308307307307308309308307308308308309309308306306306307308307307306309307306306306305305305305304303303302301301301303302301302305304303303304305305306306306306306305305304304304304304303304303303304305305304304305305305305303304304303303303303302303303303304304303303304304304306305305305305305305305304305305304304304303304303303304303303303303302302301301301301301301300300300300300299299299299299299299299299298299298298298298298298298299299298297297297297297298298297298298298298298298297297298298298298298298298297296296296297298298298298298298299299299299299300300300299300300300300300300299300299299299299299299299300300300300300301301301301301302301301300301300300300299299299299298298297298298299298298299300300300300300300301301301301300300300300299299299297297297298297296295296296294295294295295295295295295295296296297296296297297297298298299299298297298298298298298299297298299298297297299298299299299298298299298298298298298299299298298298298298298297297297296296296296297297297297297298298298299298298298299298298298298298298297297297297297297297297296296296296296296296296296296296297297297297297297297297296296296296295295295295295294294294294294294293293293293293293293293293293293293292292292292292292292292292292292292292292292292292292292292292292292292292292292292292291292291291291291291291291291291291291291291291291291291291290291290290290290290290290290290290289289289289289289289289289288288288288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302305306307308308308308308309308308307307306306306305305306305305304303304304305304304304304304305306306307307307306306307307307307307305306306305305306305305305305305305306306305305306306306306306306306306306307306308308308308308309308307306306307307306305306305305305305305305304305307304304304305304304306306305305306306305306307308308305303999999999999999999999999999999300300300300300301303999999999999307308308309309308310310310310310311310310310309309310310311311310310310311310310310310309310308308308308310309308309308309310309308309309309310310309310309308308308308307307307307307308307306307307308309309310310310308309309309308309308308308309308308309308308308308308308307307308307307308307308308308308308309309308308307307307307307306306307307306306306305306305305304305303303302302304302304303303304305305306306306306307307305306305306306306305304305305304304304303304305305304305304305305304303303304303303304303303302302303303303304304303304304305305306307306305305305305305305304304304304303304304304304304303303303303302301302301301301301300300300300300299299298298298298299299299298299299299299298298299299299299299298299298298298298298298297297298297297297297298298298298298298298298297297297298297298298298298298299299299299300299300300299299299299300300300300300300299299299299300300300300300301301301301301301302302301301301301302301300300300299299299299298298298299299299299300301301302301301301301301302301300301300300299299299297296297297297296296295296296296294296296295295296296296297297296297297297298298299299298299299299299298297299299298298298298297298298298299298298298298298298299298298298298299299298298297298297297297297297296296296296296297297297297298297298298298298298298298298298297297297297297297297297297297296296296296296296296296297296296296296297297297297297297297296296296296295295295295295295294294294294294293294293294294294293293293293293293293292292292292292292292292292292292292292292292292292292292292292292291292292292292292292292291291291291291291291290291290291291291291291291291290290290290290290290290290290290289289289289289289289289289289288288288288288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302305306307308307308308308308308308307306306306306305306305305304304304304304305305304304305305305306306307307307307307307307307306307306306306306306305305305305305305305306306305305306306305306306306306306306306306307307307307309308307307306305306305305304304304305305305305304305305305303303305305304304304303305305306306305305306305304303999999999999999999999999999999999302302301301301305999999999999999999308306307308308308309309310309308308308309310310310310310310310310310310310310310311310308307308308308310309308308309309309309308309310310310310308308309309308308308307307307307308308307307308308308309309309310309308308309308309309308308309308308308307307308308307308307307308309308306306307308308308308308309307308308307307306306306307307306306306306306306306305305305304303304304304305304304304306305305306307307307305306305306306306306306305304305305305304305304303305305304304305305305305304305305304304304304304303303304303304304304304305305305306307307307306306305306306306305305304304304304304304304304303303303303302302302302302302302301301301301300300300299298298299299299299299299299299300299299299299300300299300299299298298298298298298298298298298297297297298298298298297297298298298298298298297298298298298298299299299299299299299300299299299299300300301300300300299299299299299300300300300301302301301300302301301302302302302302301300301300299299299299299298298299299299300299300300302301301300301301301301301300299299299299298297296297296296295295295295295295295295294296296296296296297296297297297297299300299300299300300300300298297298299298298298298297298298298298298298298298299299298298297297298298298298298298298297297297297296297297297297297297297297297298298298298298298299298298298298298298297297297297297297297297297297297297297297296296296297296297297297297297297297297297297297296296296295296295295295294294294294294294294293294294293293293293293293293292293292292292292292292292292292292292292292292292292292292292292291291292292292292292292291291291291291291291291291291291291291290291291291290290290290290290290290290290289289289289289289289289289289289289288288288288288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303305306307308308308308308307308307306306306306305304305305305305304304304304304304304304305305305306305307307307307307307306307306306306306307306305305305305305305305306306306305306305305306306306306306306306306307307307307307307307306306305305308308306305305303305304304303303305305304304304305307306304303305305305305305307306306305303302999999999999999999999999999999999999303302303303999999999999999999999999306305306308307308308308308307306306309310310310311311311309309310310310310310309308310307307308308308309309309310309309308309308309310309309309309308308308307307307306306306307307308308308308308309309309309308308308308308308308307307307307308307307307307306307307306306307308307307306307307307307307306308306308308308309309307306306307306306306306305305306305305303303302303304305305304306305305304306307306306306306304305306305304305305305305304304304303303303303304304304304304304304305305305305305306304303304304303303305304304304304305305305306306307306307306307306306305305304304304303303303304304304303303303303302302302303302301301301301301300300300300299299299299299299299300299299299299299299299299299299299299299299299298299298298298298298297297297297297297298298298298298298298298298297298297298298297298298298299298298298299300300299299299299300300301300300298299299299300300300300300301301301301301301302302302302301302302302301301300300299299298298298298299298299299300300301301301300302302300301301300300300300300299299299297297296297296296295296295295295295295295296296296296297297297298299299299300300300300300301301301301301300299299299298298298297298298297298298298298299298298298298298298298298298298298298298298297297297297297297298298298297297297298298298298298298298298298298298298297297297298297297297297297297297297297297297297297297297297296296296297296297297297297297297296296296296296295295295295294294294294294294294294294294293293293293293292293292292292292292292292292292292292292292292292292292292292292292292291292292292292292292292291291291291291291291291291291291291291291291291291290291290290290290289290290289289289289288289289289289289288288288288287287288288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302304306306308309309308307307307307306306305305304305305305305305305304305304305304304305305305305305306306307308307306307306306306306305305305306305305305305305305305306306305305305305305305306306306306306306306305306306307306306305305306303306307306304303303304303302302304304304303303303303304303306306303304304305306306306304306305306304999999999999999999999999999999999999999999304304999999999999999999999999999305306999307309309309308307305999999309309310311311311310310309310308308310309308309308307308308308310309310311310310309308310310309309308308309307309308308307307307307307307308308308307308308307308308309309309307308308307308308306307307307307306307307307306305307306307307307305305306307307307305306308308308309309308307307307307306306305305306306305305305305304303303305305305305304306306305307306306306306307306305305306305304304305305305305305304303303303303304304304304304305304305305305305305305305304304304304304305305305304304304305305305305306305306306307306306305305304304304304304304303303303303304303303303302303302302301301301301300300300299299299299299299299299299299299299299299300299299299299300300299299299299298299298298298298298296296297297297298298298298298298298298298298298297297298297298298298298299299299299299300299299299299299300300300300300300299299300300301300300301301301301300300301301302302302302302302302303301301300300299299300299299299300299300300301301301300300300301301301301300299300300300300300299298297297297297296296296296296296295295295296296297298299299298299301301301300298299299301302302302301301300300299299298298298298298298298298298298298298297298298298298298298297298298298298298298298298297297297297298298297297297297298297298298298298298298298298298297297297297297297298297297297297297297297297297297297297296296296297296296297296297297297297297296296296296296295295295294294294294294294294294294294294293293293293293293293293293292292292292292292292292292292292292292292292292292292292292292292292292292292292292292291291291291291291291291291291291291290291291291290290290290290289289289289289289289289288289288288288288288288288288287288288288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302305307307308309308308307307306305306306305304305305305305305305304304305305305305306306305305306306306307307308307306306306306305305305305305305306305305306305305305305305305304304305305306306306306306305306305305306306306305306304304305306305305302303302302302302303304303304301302302303304303304303303304304305306304304304304304305305305304303999999999999999999304305305304999999999999999999306304999999999999305305999999999999999309308306999999999309310310310310310310310310309308308308307308309309308307308310309309308309311309308308309309309309308310309309309308308307307307307308308308308309308309308308309309309309307307307307307307307307307307306306306306306306306306307308307306304306306307306307307307308308308308308307307306307306306306306305305306306305305304304304303305305306303304304306307307307307307306306307306306305305305305305305305305304304304304304304305305305304305304305304305305305305306305305305305305305306306306305305305305305306306307305306306306306306305304304304304304304304303303302303303304303303303303303302302301300301301300300299299299300298299300300299299299300300300300300300300300300300300300299299299299298297297298299298298298297298298298298298298298298298298298298297298297297298298298298299299299300299299300300299299300300300300300301300300300300300301301301301301301302302302302302302302302302302303302301301301300299299299299300299300299300300298300301301300299299300300300300300300300300300300300299298297297297297297297296296296296295295296296296297298299299298301301301300301301301300300302302301301301300300299299298299300298299299298298298298298297298298298298298298298297298298298298298298298298298298298298298298298298297297298297298298298298298298299298298298297298298297297297297297297297297297297297297297297297297297297297297297297297297297297297297297296296296296295295295295294294294294294294294294294293294293293293293293293293293293293292292292292292292292292292292292292292292292292292292292292292292292292292292291291291291291291291291291291291291291291291291291291290290290290289289289289289289289288288288288288288288288288288287287287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302302306306307308308308308307306306306306305304304305305305305304305305305305305305305305305306305305306307307307307306306306306305305305305305305305305305305305305305305305305305305305305305305305305306305305306307305305306305306306304304305307305305305303303302303302303303302303304304302304304304304303303304304305305305304999999305306307306304302301999999999999303304304306305304304999999999999306305304999999999307306999999999999999999307305999999999307309309310310310309310309309308307308307306306307308306307308310308308309310309310309308309310310309310309309309309308307307307307308308308308309308308308309309309308309309307307308306306307307306306307306306305305305305305306307307307307307306306306306306307307307306306306306307307306306305305305305305305305305305305304304304305306303303304305306305306306306307306305306306306305305305305304304305305305304304303304305304304305305305305305305304305305305306306305305305306306306306306306306306306307307307307306306306306306306305305304303304304303303303303303303303303303303303303303302303302301300301300300299299299299299299299299299299299299299299300300300300300300300300299300299299298298298297299299298297298298297298298298298298298298298297298298298297297297298298298298299299299299299299300299299300300301301301300300300300301301301301301301300300300301302302302302302301301302302300301300301300300300299299300300299299299300301300300300300299300299299300300300300301300301300300299299298297297297298297297296296296296296296296296297298299299299299301301301302302302301303302301302301302302301300299300300299299299299299298298298298298298298298298298298297298298298298298298298299298299298299298298298298298298298298298298298298298298298298299299299298298297297298298297297297296297297297297297297297297297297297297296297297297296297297297297297297297296296296295295295295294294294294294294294293293294294293293293293293292292293293292292292293292292292292292292292292292292292292292292292292292292292292292292291291291291290291291291291291290291291291291291291291291291290290290290289289289289289289289289289289288288288288287287287287287287288287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300301303305306308307307308308308308307306305304304304305305305305305305305305305305306306306305305306307307307306306306306306306305305305306305306306305305305305305306304304304304305305304305305304304305305304305303304304304305304304303304304304304304304303302302304303302303302303304303303304303304302303303304304305305306305303302303305308307304302301299999999302303305305306306305304303999999999305305303999999999999999999999305305306307307305999999999307309309310310310309310309308309309308308307305307306308307310308308309309310310310308309309310310309309310310308308309307307307307307308308307308308308309309309309309309308308308307307306306307307307307306307306305304304304306306307307307307307307307306306307306306306307306306307306306305305305305305305304306305305305305304305306306304304305305306306305306306306306306306305305305305305305305304304304304303304304305304304305305305306305305304305305305306306306306305306307306306306306306307307306307307307307307305306306306307306304304303303303303302303303303303303303303303303302302302302302302301301300300298298299299300299299300299299299299299299299300300300300300300300300300300300299299298298299298298298298298298298298298298298298298297297297297298298297297298298298299299299300299299299299300300300301301301301300301300301301302301301301300301301300301301302302303302301301302302302303300300300300299299300300299299300299299301300300300300300300299300300300301300301301301301301299299299298298298298298298296297296296296296297297297298299299299300301300302303303303302303303303303302302301301300300300299299298299299299298297298298298297297297297297297297298298298297298298298298298298298298298298298297298297298298298298298298298298299299299299298298298298297298298297297297297297297296297297297297297297297297297296297297297297297297297297297297296296296296296295295295295295295294294294294294294294294294293293293293293293293293293293292292292292292292292292292292292292292292292292292292292292292292292292291291291291291290291291291291291291290291290291291291291291291290290290289289289289289289289288288288288288288288287287287287287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300300302304306307307307307307307307307306304304304304305305305304305304305306306306306306306306306306306307307307307306306306306305305306305306306306305305305304305305304304304304305304304304304304304304304305304304304304304304304304303304304305305305304303304305304303304303302303305304302302302303303303303303303305305306304304303303304305305304302300299298296301304307305303303303304303303999999999306305304999999999999999999306305306308307306999307307308308309309310310309310309309309309308308308307307308309309309308309309309310310310310310309309310310310310309308309309308308308307307307307308308308308310309309309309309309308308308308308307307306306306306307306304305303303305305306307306307306306307306306307305306306306306306307305305305305304305305305305305304305305305305305305305304304304304305306305307306306305305305306305305305306305305305305305305305304304305304305306306305307305305305305305306306306306306306307306308308308307307307307308307307309307308307307306306305305304305304303303303303304305304304303303303302303302302302302302302302301300299999298299300299299300300300300300300300300300300300300300300300300300300300300299300299299299299298298298298298298298298298298298297296297297298297298297297297298299299299300300300300299300300300301301300301301301300301301301301301303302302300301301301301301302301300302302302302303303302301301301301301301301300300300299299300300300301300300300300300301301301301301301302301301301300299299298298298298298297297297297296296296298297298299299300299299300301303303303302303304303303302302302302301301300300300299298299299298297298298298297297297298297297297298298298298298298298298298299299298298298298297297297298298298298298298298299299298299299298298298297297297297297297297297297297297297297297297297297297297297297297297297297297297297297297297297296296296296296296295295295295294294294294294294293294294293293293293293293293293293293292292292292292292291292291292292292292292292292292292292292292292292292291291291290290290290290290290290290290290290290290291291291291290290290290289289289289288288288288288288288288287287287287287287287287287287287287 999999303301300301301301300299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300301304305306306307307307308308306305304304304305304305304304304305306307307306305306306306306306306306306306306306305306306305306306306306306305305305305305305305305305305305305305305304304304304304304304303304304304303303304304304305305306305305304304307306304303303302302302304303302300302303303304304303304304305305305305303999999999999999999999298298298302305307305303999999999303303303999999309307306304302302999999999999999305306307307307308308308308308309309309310310309309309308308308308309309307309310309309309309309309310309310308308309309310310310310309308308309308308307307308308307307308308310309310309310309309309309308309308309308306306306306306306305304304304305304306305305306305305306305306306306306306306306306306305305305304303305304304304304304305305305305306305305305304304304305305304306306306306306305306305305305305306305305304304305305304304304305306306307306305306306306307306305306307307307307308307307308308308307307307308308307306307307308306306305305305305304304304304303303304304304304303303303303303302302303303302301303301300999298298299299300300300300300300300300300300300300300300300300300300300300300300299300299299299299298298298298298298298298298298297297297298297298297298297297298299298299299299299300300300300300301301301300300301302300301302302302301302302302301302301301301301302301302301302302302302302302301301301300301301301301301300300299300300300299300299300299300301301301301301302302302301301301299299298299299298298298298297298296296297298298299299300300300300300300302303303303303303302303303303303302302302300300300300300299299298297298298298297297297297297298297297298298298298298298298299299299299298298298298298299299299299298298298299299299299298299299298298298298298298298298297297297298297297297297297297297297297297297297297297297297297297297297296296296296296296295295296295295295295295294294294294294294294293293293293293293293293293293292292292292291292292291291292292292292292292292292292292292292292292291291291291291291290290290290290291290291291291291291291291291291291291290290289289289289289289288288288288288287287287287287287287287287287287287287 300303303300302302300299300300999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299299301303305306306306306307308307305305304304304305304305304305305306306306306306306305306306306306307306306306305305306306305305305306306306305305305306304304304305304305305305305305305305305304304304304303303304304304304304303303304305305305306305305304306306305305300303303305303303303300300303303304303303303305305305306306303303303999999999999999999999301301302304305302999999999304304304304999999308307306304302999999999999999304305306306307308309309309310309309309310309309309309308307308309309308308308309309307308308309310308309308308308309310309309309308308308308308308308308307308308308308308309309309310310309309309308309308308307308308307307307306305305304304304303304304304305304305305305306305306306306306306306305306305305304304303303304305304304304304304305305306305304304304304305305305305306305305306306305306306305305305305305306306304304304304304304304306306305305305305306306306307307307306309308307308308308308308308307308308307309309308306307306307306305306305305305305303304303304304304304304304303303302303303303303304303302303303302999999299300300300300300300300300300300300300300300300300300300300300300300300300300299300299299299299298298298298298298298298298298298298297298297298297298298298298298298299299299300300300300301301301301301301300301302301301302302302302301302302302302303302301302301301302301301302302302302302302301301301301302301302301301301300299299300300301300301301301301301301300302301302302301301301300299299298299298299298299298297296297297298298299300300300300301301301302302303303303303303303302303303302302302301301300300300299299298298298298298297298298297298297298297298298298298298299299299299299299299299298298299299298299300299299299299300299299299299298298298298298298298298298297297297297297297297297297297297297297297297297297297297297297297297297297296297296296296296295295296295295295295295294294294294294294293293293293293293293293293293292292292292291292292292292292292292292292292292292292292292292292292292291291291291290290290291290290290291291291290291291291291291291291291290290290289289289288288288288288288287287287287287287287287287287287288287287 300303302304303302301303298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299301303304305305305306308307306305304304304304304304304304304305305306305305305305305306305305306307306305306306306306306306306306306306306306306306305305304304304304305305305305305305305305304303304304303304304303304304304303303304304306305304304303305304305304302303303304306306303303305303301303304303304304303306308307306306303303999999999999999999999999302300302305304303999305305305306305999999307307306305301300999999999999999304304306305307308308309309309309308308309309309309308308307308308308308307308308308308309308308307308308309309309309309309308308308308308308308308307307308308308308308308309309309308308308308308308308307307307308307306307306305304305304304305305305305305305304305304304305305305305305306306305305305305304304304304304304304304306305305306306306305305305305305305305306306305305305306305306306306306306305305305305305304304304303304305305305305305306306307306306306307307307308308309308309308309308309308307308308308309308308307307307307305305305304304305304304304303304303304304304303303303303303303303303304304303303303302301300300300301301300300300301300301300301300300300300301300300301300301301301301301301300300299299299299298298298298299299299298298298298298298299298298298299299298298299299299299300301300301301301301302302301301302302301302302302302302302302302302302302302302302302302303302302303303302303302303302301302302302301301301301299299300299299300300300301301300300300300300302302302302301301300300300299299299299298298299298298297298298299299299299300300301301301301302303303302302303302303301302303303302302302302302301301300299299299298299298297298297297298298298298298298298298299300299299299299300300300299299299299299299299299299299299300299299299298298298298298299299298298298298298298298298298298297298297297297297297297297297297297297297297297297297297297296296296296296296296296295295295295294294294294294294294293293293293293292292292292292292292292292292292292292292292292292292292292292292292292292292292292291291291291291291291291291291291290291291291291291291292291291291291290290290289289289288288288288287287287287287287287287287287287287287287287287 999305305305304305303301298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299301304304305305306306308307306304304304303304304304304305304305305305306305305305305305304305306306305306306306306306305306306306306307306305306305305305304304303304304304305304305304305304304303304304304303303304305305304303303304304304304304303303304303304303301302303304303306305306307307305305304304304304304307309308306305305304303302999999999999999999306999302306305305306307306306306306305306307305303304303301999999999999999303304304305306307309309308308309309309310309309309308309309308309309308308308308308308309308308307308309309310308308309308309308308308308308307307307307307308308308308308308308309307308307307308307307307307306306307306306306305305305304304305305306305305304304304304305305305305305304305305305305305305305304304304303304304303304305304304305305305305305305305305305305305305305305305305305306306306306305306306306305304305304304304304305305305306306307307307307307308307308307308309308309308307307307308306306307307308308309308306306306305306305305304305304304304304303303302302303303303303303303303304303304304304303302302301301300300301301301301301301301301301301301301301301300300301301301301301301301301301300300299299299299299299299299299299298299299299299298299300299299299299299299299298299299300301300301301301301301300301301301301302301302302303302303303303303302302302302301302301302302302302302303303303304303303303303303302302302302301301301301300299300301301300300300299300300301301302302301301301300300299300299299299299299299298298298298299299300299300300301301301301301302302303303304303302302302303302302302302302302302301300299299299299299299298298298298297298298298298299299299299299300300300300300300300300300299300299299299299299299299299300299299299299298298298299298299298299298297297298298298298298298298297298297297297297297297297297297298297297297297297297297297297296296296296295295295295295295295294294294294294293293293293293293293292292292292292292292292292292292292292292292292292292292292291292292292292292291291291291291291291291291291291291291291291291291291291292291291291290290289289289288288288288287287287287287287287287287287287287287287287287287 999303305304305306305304301999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301301303304305305306307307307305304303304303304303304304305305304304304304305305304305303304305306306306306306306306306306306306306306306305306305305305305305305303304304305305304304305305305304304304304303303303304305305304304304304304304305304304305303304303302301301303303304304302305305304304305305306305304307307309306306305304303302301999999999999999999999999302308306307307307307307307307305308306305303999304303999999999999999999999304306306307308308309308308309309310309309309309309309309308307308308308308308309308308308308309309309308308308308309308309308308308307308307307307307308308308308308308308307306305305307306306306306306305306305306305305305304305304304305304304305305305304304305305304305304305304304305305305305304304303303303303304304303305304305304304305305304305305305305305305306306305304305305306306306307306307306306305305305304305304305304304305305306306307308307307307308308308309308308308308308307308307306306306307307307308309308307306305305305305304305305304304303303302302303303302303303303303303304304304305304304303303302302301300300300302301301301301301301301301301301301301301301301301301301301301301301300300300299299299299299299299299299299300299300300300300300300300299299300299299299299299300300301300301301301301300301301301301302302302302302303303302303303303302303303302302302302303303302302302303302302303302303304304302303302303302302302301301301300301301300300300300300300300301301302303302301301301301300300300299300298299299299299299299300300301301301301301301302302302302302303304304304303303303303303303302302302302302302300300299299299298299298297297297297298298298299299299300300299300300300300300300301301300300300300300299299299299299299299299300299299299299299299299299299299298298298298298299298298299298297298298297297297297297298298298297297297298297297297297297297296296296296296295295295295295295294294294294294294294293293293293293292292292292292292292292292292292292292292292292292292292292292291292291292292292292291291291291291291291291291291291291291291291291291291291291291290290289289289288288288288288287287287287287287287287287287287287287287287287 999303304305304303302301297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301302304304305306306306306305304303304303303303303304305305304304304305304305304304304304305305305306305306306306306306306306306306306305305305305305305305304303303304304304303303305304304303303303304304304304303304305305304304303303303304304305304304303303303300303301302302302305306304304304304304306303305304306306306305305304304303302300999999999999999999999303305304306306305306306308307307307307306305304306304303302999999999999311999306306307308309309309309308308308308309308308309308308308308309308308309309308308307308307308309308308309308309308309308307308307307308308308307308308308308308308308308306306305306306306305306304304305305305305305304304304305304304304305304304305305303304304304305305305304305304305305305305304303303302303303304304303304305305305305305305304304305304304305305305305305305305305306306306307307306305306305304304305305305305304305305305306307306307308308308308308309309310310310309308308308307307308307306307307307308307307306305306305304304304304304303303303302303303304303303303303303303304304303304304304304303303302301300301302302301301301301301301301301301301301301300301300301302301301301302300301300300300300300299300300300300300300300300300300300300300301300300299300299299299299299300301301301301300301300300301301301301302302302302302303303303303304303303304304303302302303303303303302302302302302302303303303304303303303303303302302303303301300300301300301301302301301302301301302303302301301301301300299300299299300299299299299299299300300301301301301301302302302302302303303303304304304304303303304304303303303303302301301300300299299298298298297297297298298298299299299299300299300300300300301300301301300300299300300300300300300300300299299300299299300300299299299299299299298298298298298298299299299299298298298298298297298298297298298297297297298297297297297297297296296296296295295295295295295295295294294294294294294294293293293293293293292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292291291291291292292291291291291292291291291291291291291290290289289289289288288288288287287287287287287287287287287287287288288287288 302303303302302302301301300999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301302304304306306307306305304304304304303304304304304304305305304304304304304304304305305305304305305304305305305306306305305306306305305305305305305305305304303302303302303304304304304304303304303304304304304303304304304304303303302302303303304304303303303303302302302302301300301304304303302304304304303304305304305306305304302304303303301999999999999999999999304306304305305304305305306307307307308307307306306306305304304304305306311999304307307308307308308308308309308307308308308308308308308309309309309309309308308308307307307307307308308308308308308308307306306306307307308308308308308308308308308307306307306305303304305304305304304304304305305305305304305304303303304304304304303303304304304304304303304304304305305305304304304304304304303303302303303304305305305304305304304304304304305305306306305305305305306306306307307306306305306305305305305305305304306306306306308308307308308308308308308310311310311309308309308308307308307307307306307307307306306306306306305306305304303303303303302302304303302302303303303304303303304304304305303303303302301301301301301301301301302302302302301301302302302300300301301301301301302302302301301300300300300300300300300300300301301301300301299301301301300301300300299300299299300300301301300300301300300300301302302302302302303303303303304304304303304304304304303304303303303304303302301301302303303303304304304303304304304303302301301303301301301301300301301301301301301302302302302302301301300300299299299299300299300300299299299300300300301301301301302302302301301302301302303303303303304303303303303303303303303302301300300300299298298298298298297298298298298298299299299299300299300300300300301301300301300300300300300300300300300299300300299299300300299299299299299299299299298298298298298299299299299298298299299298298298298298298298297297297297297297297297297297296296296296296296296295295295295295295294294294294294294294293293293293293292292293292292293292292292292292292292292292292292292293293293293293293292292292292292292292291291291291291291291291291291291291291291291291290290290290289289289289288288288288288287287287287287286286287287287288288288288 302301301300301300300299299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301299302304305306306306306305304304304304303303304304302303303304305305304304304304304304305305305305305305306305305306305306305307306306306305305304305305305304303303303302303303304303303303303304303304304304304304304304304303303302303303302304305305303304303303302301301302301300301302304303303304303303305305305305305305305304302304304303301999999999999999999999304304304304304302303305305305305306307307308308308307306307305304304999999999301303302305307307308307307308308307308308309309308308308310309308308308308308308308307307307306308308307307308308308307306306306306307307308308307307307307307307307306306306305304304304304304305306305305305305305305305305303303303303303304304303303303304304303303304302303304304305305305305304304304304302304304304304304305304304305305305304304304304304304306306306305305306306306306306306307306306306305306305305305306306304304306306306307307306307308309309309308309309309310307308308306308307308308308307306306306306306306306306305306306305304303302303303303303303303303303303303302303303303303303304304304303302302301301302301301302302302302302302302302302302302302302302301301301301301301302301301301301300300301301301299300300300301299300300301300301300301301300300300300300299299299300300300301301301300300301300301301302302303303303304304302303303304304304304304305304303304304304303303303302302303304304304304304304304304304304301301302303302302301301300301301301301301301301302303302301301301301301300298300300300300300299299300300300300301301301301302302302301301301301302302302302303303303303302303303302303303302303302301301300299299298298299299298298299298299299299299299300300300300301301301301301301301301301301300301300300300300300300301300300299300300300300300300299299299299298298299299298299298298299299299299298298298298298298298298298298298297297297297297297296296296296296295295295295295295295295295294294294294294293293293293293293293292292292292292292292292293293293293292292292293292293293292292292293293292292292292292292292292291291291291291291291291291291291291291291290290290290289289289289289288288288288288288288287287287287287288288288288287288 303301301301302299299299299999298299297999999999300300999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303302301303304305305306306306304304303303304303304303303302303303304304304304304304304305305306306305305305305305305306306306305306307305306307306305305304303304304302302302301301301302303303303303303302303304304304304304304304303303302303303302303303304304305306306304300301302301303303300305303305303303304305306304305305306305306305305304302301301999999999999999999304304305304303301304305306307306306308309309309307307308308305303304303999999299299300303305306306306305306306307307308309308309308308308308307308308308308307308307308308307308308308308308308308308307307306305306308307307307306306306306306305306306304304303303304305305306306304305305306304304304304304302303303303302303303303304304304304304302303303304304305305305305305304304304303304304304305304305305305304304305305304305304304305305306306306306305305306306306306305306306305305305305305305305305305304303305307307307306307307308308308309309309309309307307307307307307308307307308306306306305306306305306305304304304303302301302303302302302303304302302302302303302302302303303302303303303303301302302302302302302302302302302302302302302302302302302302301301302302302303302301300301300299300301301299300301301300300300300300300301301301301300300300300300300300300300300301301300300300300300300301301302303303304304303303304303303303304305305305306304303304304304302303304304303305306306305305305305304304303304304303302302302302301301301300300301302301301301302303302302301301301301299301300300300300300299300300300301301301301302302302302301301301301301302302302302301302303303302302303302301300300300302301300300300299299299299299298299299299299299299299300300300300301300301301301301301301301301301301301300300300300300300300300300300300300300300301300299299299298299299299298298298299299299298299299299298298298298298298298298298298297297297297297296296296296296296296295295295295295295295295295294294294294294294293293293293293293292292292292292293293293293293293292293293293292293293293293292293293292292292292292292292291291291291291291291291291291291291291291291291290290290289289289289289288288288288288288288287288287288288288288288288288288 303303302302302301300300299298299298297297299298300303302999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302301302304305305306306306305304304304304304302303303303303303303303304304304304304303305305305304305305305304305305305306306306306306306307306306306305304303303303302302302301301302302303303303303303302303304303304303303304304303303303302303303302303304304304305305302302302303302303304305305306305305303304304304305305305307306306306305304304302301999999999999999999303304304304303999305304305306306306308310309309307305307307305999304304302999299299295299305305305304305999306305307308309308309309308308308307307308308308308308308307308308309309308308308308308308308306306307306307308306307306305306305305305304304303305304304305307306306305305305305306304304303303303302303301302302303303304304304304304303304304304304304305305305305305304304304303304304304304303305305305306306305305304304305304306305306306305306305306306306305306306305305305305305304304305305303303304304305307307307307306305307307308308308308308308307307307307307308307307307308307306306306307306306305306304304304302302302302302302302303303303303301302302303303303303303303304303303303302302302302302302302302302302302301302302302302302302302302301302302302302302302302302301300300300301301301301301300301300300300301300301301301301300300300300300299300300300301300301301301300300300300300301301302302303303304304304304304304303304305304304304304303303304306304304303303302304305305304303306303305304304305304303304302302302301302301300301301302301301302301302302302300300300300300301301300300299300300301300300301301301302302301302302302301302302302302302302301301301302302302301301301300300301301301300300300300299299299299299299299299300299300300300300300300301301301301301301301301301301301301301301300301300300300301301300301300300300300300300300300299299298298299299298299299299299299298299299299298298298298298298298298298298298297297297297297296296296296296296295295295295295295295295295295295295294294293293293293293293293292293293293293293293293293293293293293293293293293293293292293293292292292292292292292291291291291291291291291291291291291291291291291291291290290290289289289289288288288288288288288288289289289289289288288288288288 302302303303302300300299299299300301301302300300302303303301299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302304304304305305306305306304303304303303304303303303303303303303304303303303304305305305304304304305304304304305306305305305305306306306305306306305305304303303302302302301301301302302303303303303303303304303303303304304305304304303303303303302303304305303303304303302302303303303304306306306304306305304305304304303305306305305305304305305304303303999999999999302303304304302300999306306305305999307308308307307305306999999305305999306305299297297999999999999999999999999999999306307308309308308308308307308308307308308308308309308309309308308308308308308308308308307306306306307307307306306306306305305305304304304305305306307308306307306306305306305305304302303303303303301302303303304304304304304305304303303304304304304305304304304304304304304304303304304304305306306305304305304304305305304305306305306306305305306306306306306306305306304305305304304305304303303303304304305305306304305305307307308308308309308308306306306306306306307306308307307305306306306306305306304305303302302302301301301301302302302302302302302302302302303303303303303303303302302302302302303301302302302302302302302302302302302302302302302302301302302302302302302301300301301301301301301300300301300300300300301301301300301300299300300300300300300300300301301301301300300299300300300301301302303304304304304304304304304304304303304303303304304304305305304304303303305305305305305305304305305305306305304303302301303302302301301300301300301302301301302302301301300300300300301301300300300300301301301301300301301301302302302302302302302302302301301301301301300301301302301301301302301301301301300300300300299299299299300299299299300300300300300300301301301301301301301301300301301301301300301301301301300301300300301300301300301300300300300300300299299299298298299299299299299299299299299299299299298298298298298298298298298298297298297297297297296296296296296295296295295295295296295295295295295295294294294293293293293293293293293293293294293293293293293293293293293293293293293293293293292293292292292292292292292291291291291291291291291291291291291291291291291290290289290289289289288288288288288289289290290290289289289289289289288289 301302302302302303300298299299299299303302301302303301302301300296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302302304305305305306306306305305305305305306306304303303303303303303303303301302304304304304304304304305303303305305306306305305305304305305304305305304304303302302302301301301301301302302302302302303303303303303303303303303304304304303303303303303303304304304303302302302303301302303303305305303302301304304304304304302302305305303304304304305304303303302999999999302304304304302999999306308307306999999307307307307305304999999999306306306306303301302999999999999999999999999999999307307307308308307308308309309308308308308308309308308309309307308307308308308308308308307307307307306306307306306307305305305305305304304305306306305307306304306305305305305305303303302303302303304303303304304304304304305305304304303303304304304304305304304304304304304303303304304304304306306305304304304304305305305304304306306306305306306306306307307306306305305305305304304305305303303305304305305305305305305306306306306307307308308307307307306305306305306305305306305306305305305306306306304304304304302303301301301301302302302302302302302303303302303303303303302303303302302303303303303302302302302302302303302302303302302302302302303302302302302302302302302301302301301301301301300301300301300300301301301301301301300300300300300300300300300300300301300301301301301301300300301300301301303304304305304305305305304304304303303303303303303303305305305303303303305305307305305305306305306306306305304303302302302302301301301301301301302302302302302302301301300300301301300302301301300300300301302302301302301301302302302302302302302302302302301301301301301302301302302302302301301301301300300300300300299299299299298299300300300300300300301301301300301300300301301301301301301301301301302301301301301301301301301301300300301300300300300300300299300299299299299298299298299299299298298299299299299298298298298298298298298298298298298298297297297296296296296296296296295295295296295295295295295295295294294294294293293293293293293294294294294294293294294294294294293294293293293293293293293292292292292292292292292292291291291291291291291291291291291291291291290290290289289289289289288288288288289289289290289289289290290290289288289289 300301301301301302299299300299299300300301302303302301301300299296292999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303303304306306306306307306306305306306306306306305304303302302303302302302302302302303303303304303304304304304304304305305305304304304304304304303304303303302301302302301301301301301302302302301302302302302303304303303303303303304304303303303303303304303302301301302302301302301303302303304304303302303302303304304302301999303303302304304305306306305304302999999300304306305304303303306307308308308307305306306307306306999999999999999307304307307305306307999999999999999999999999999999306306307307308308308307309309308308308308308308308309309308308307308308308307307307307307306306307304306307307306305305305305304304304304306306306305306305304305305303305306304303302301302303303303304304305304304305304304304304304303304303303304304304304304303303304304304305304305304305304304304303303304305305305304304304306306304306306307306306306306306305305304304304305304305303303304304305305306304304305306305305306307307307308307306306305305306305305303303305304306305305305305305306304304304303302302300301301301302302301301301302302302303302303302303302302303302303303303303303302303303302302302302302302303303302302302302302303302303302302302302302302302302301301301301300300300301301300300300301301301301301300300301300301300300300301300299299300301302302301301301301301302301303303303304304305305305304304303303303303303303303303304303305305304303304305305306306305305306306307306305305304303303303303302301302301302302302303301302302301302301301301300301301300300301301301301301302302302301302302302302303303302302302302302302302302302302302302302301302302302302302301301301300300300300299299299299299299299300300300300300300300301301301301300300301301301301300301303302302302301302301302301302302302301301301301301300300300300300300299299299299299299298298299298299298299299299299299298298298298298298298298298298298298298298298297297297296297296296296295296296295296296296296296295295295294294294293294294294293293293293294293293293293294294294294293293293293293292293292292292292292292292292292292292292292292292292292291291291291291290290290290290290289289289289288288288288289289290290290290289290290291291290290290289 299300302302300300298297299297298298299299301299299299298300299296297301303999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302304305306306306306306306306305306306305304305303304303303302303303303303302302301303303303302303303305305304304304304305305303304304304304304303303303302302301301301301301301302301302302302303302303301302302303303303303303303304303303303303302303303302301300300301301300301303303302302303302303305304304303303303302300999999304302304305306306305304302301301300301304304304304304302305306308307309310308308308306306305999999309308999999999307308307306307999999999999999999999999999999999307308308308308308308309309308308309308308308308308308308308308307307307307306306306306305305306306305306306306305306305305304304304305304304304304305304304304304305305305303302302302302303303303305304305304304304304304304304304303303303303304304304303302302303304304304305305305305305304304303303303304305305305305305306306305306305307306305306307305306305305304303304304304304304303304304302304304304304303304304304306306307307307308306306306305306305305303304305305305305304304305303304304303302303302302301300300301301302302302301302302302302302302302302302301303302304303303303303302303302302302302302302302302302302302303303303303303303303303302303303302302302302301302301300300300300301301301302301301302301301300301300301301300300300300300300300300299301301302302301301302302303302303304304303303304305304304304303303303304304303304304304303304304304305305305306305305305305306305306305304302302302301302302302302302302302302302302302301302301301301301301301302301301301301301301301301302302302301301302302302303302303302302303302302301302301302302302302302302302302302301301301300300300300300299299299300299300300300300300300301301301301300301300301301301301301301302302302302302302302302302301301301302302301301301301300300300300300300299299299299299299299299299298299299299299298298298298298298298299298298298298298298298298298297297297297297297296296296296296296296296296296296296295295295295294294294294294294294294293293293293293293293293294294293293293293293293293293292292293292292292292292292292292292292292292291292291291291291290290290290290290290289289289289288288288288289289290290289290290290291291291291291290289 301301302300298298297298298298298298298299299296299298297297296293297999303298294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302304305306306306306306307307307307305306304303304303303302303302302302302302302302302303303303303303304305304304305305304304303303303303303303302302303302301301301301300301301301302302302302303303304303302302302302302302302302303303303302302302303303302302301301300300301302303302303302303304304303303302303303302302299298999999999303304305305304303302300300301301303303303303302302303303305306307309310309309308305304999308308307999999999999307306307308308309999999999999999999999999999307308308308308308308309308309309309308308308308308307307307306307307306306306306305305305305305305305306306306305305305305304304304304303303303304304305304304304304302304303303304303303303303303305304305304304304304304305304303303303303303304304303303304304304303304304304304304305304303304304303303304304305305305305305306306306305306306306306306306305305304304304304303304304303303304304303303303303303303303304304305305306306306306307306306305305305304304305305304304305304305305304304303303303302301301300301301302300302302302301301301301301301302302302302303302303303302303304303303303303301301301302303303302301300302304303303303303303303303302303303302302303302302302302301301300301301301301301301301301301302301301300301300300300300300299300301301301301301302301301301302302302302304303303303303304304304304304303303303303302304303305304302303304304304304305306305306305305304305305304303301302301302302302302302302302302303302303302301301301302302302302302302302302301301301301301301301301301302302301302302303303303303302302302302302302302302302302302302302302301301300301300300300300300300300300300300300300300300301300301301301301301300301301301301301301301300302302303302302302302302302302302301302302301301301301301300300299299300299299299299299299300300299298299299299298298298298298298298298298299298298298298298298298298298297297297297297296296296296296296296296296296296296296295295295295295295295294294293293293293293293293293293293293293293293293293293293292293292293293292292292292292292292292292292292292292292291291291290290290291290290290290289289289289289289289289289290290290289289290290289290291291291290290 301300299298298299298298298299298298299299295297297297297296297296297296299301299290999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303303305306306305306306307307307307306304304303303303303303303302302303303302302303302302303303303304303305304303304305305303302303303302302302302302303302301301301301301301302302302303302302303304304303303303303302302302302302302302302302302301302302302301301301301301302302303303304304303303304303303303302302301299298300302303306304304304304303302302302302301301302301302302301301302303303305307309311311310309307304307307307307307999999999306307307307308309307999999999999999999999307307307308308308307309309309309309309309308308308308307307306306306306306306305305304305305305305305305306305305306305304303305304304303303303302302302304304301302301301301301305304304303303303303304304304304304304303303303304304303303303303303303303303304304304304304304304304304303304304304304304304304304305305305305306306305306306306306306306306307306305305305304304303304304304304304304303303304302302303303303304304304305306305306305305305304305305304304304304304304304304305304304304304303302302301301300300300301300301301301301301301301301300301302302302303302303303303303303304303303302302302301302302303302302302303303303304303303303303303303303303303302303303302302302302301301301301301301301301301301302301301301300301300300300301300301301301300301301302302301301301301302303302303303303303303304304303303303304303303303303304304305304303302304304304304304305305305305304306305304303303303302302301301302302302301301302302302302302301301302302301301302302302302302302302301301301301301301302302302302302303303303303303303302302302302302302302301301301302302302302301301301300300300300300300300300300300300300300301300301300301301301301301301301300301301301301302301301302302301302302302302303302302302301301301301300300300300300299299299299299299299299299299298298299299299298299299298298298298298298298298298298298298298298298297297297297297296297296296296296296296296296296296296296296296296295295295294294294294294293293293293293293293293294293294293293293293293293293293293293292292292292292292292292292292292292292292291291291291291291290290290290290290290289289289289289290290291290289290290290289290290290291291291291 300298300298297298297296298298297298298298299296296296295294296295294300300298299294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999306303305305305306306306306306307307306305304304303303304303303302302302303302302303302302302303302303303304305302303304305303304302302303302302302302302302302301300301299300301301301302303302302303303303303303303302303302302302302302302302302301302302301302302301302302301301302301301302301300302302302302303303302302299298999303302303304304305304304304303304303303303303302304303300999301300300303306308309311310310308305308308308308308308308999306307308309310309309309999999999999999999309308309309308307308308309310309308309309309308308308307306306305306306306306305304304304304304305304305305305305305304303304304304304304303303303303303303302304305300300301302302303302303303303303303303304304304304304303303303303303302303303303303303303303304304303303303303304304304305305304304304304303304306305305305305305304305305305306306305305306305305304304304303304304304304304303303304303303303303303302303303304304304304305305304304305304304304304303304304303304305305305303304303303303302302302302300300300301301301301301301301300301301300300301301302302301302303303303302304303302303302302301302302303303303302303302303303303303303303303302303303303303303303302302302301301301301301301301301301301302302302301301300301300300300301300300301301301301300301302303302302302302302302302303304303303303303303302302304304305303304304303304303302303304305304304304307306305305304304304303303303303302302302302302301301301301302302301301302302301301301301301302301302301301301301302301301301302302302302302302302303303303303303302302302302302302301302302302301302302302301302301301300300300301301300300300300300301300301300300301301301301301301302301301301301301301301301301301302302301302302302302302302302301301301301301301300300300300300300299299299299299298299299299298299299298298298299298298298298298298298298298297297298298298298297297297297297297297297297297297297297296297297297296296296296296296295295295295295294294294294293293293294294294294293293293293293293293293293293293293292292292292292292293293292292292292292292292291291291291291291290290290290290290290290290290290291291291290290290289290290290290290291291291291 301301299299298299298298299299298299301300297297296295295294297297295300298293294289293999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302303304305305305305307307307306306306304304302303303304303303303302302302303303303303303303302303303303304303303304302303303301301302302302302302301302302302301300300299300301301302302303303304304304304303303303303303302303302303302302302301301301302302302302302302302301302302302302301301301302301301301302302302302298999301302303304304305305305304304304304304304305304306305304303999999999301303305307309309308307307308308308309309309308308306307307308309310310309308310999999999999310309309309309308308309309309310309308308308307307307306306306306305305305305304304303304304303304303304305304304303304303305305304304303303302302302302302303303303300300301302301303303303302303304303303304303304304304303303303303302303303304304304304303304303304303304303303304304304305306307306304304304304305305305305305305305305305305306305305305305305304304304304303303304303304304303303303303302303303303301302302304303303304305304304304304304303303304304303304303304305304303303304304303303302302301301301301300301301301301301301301300300301300300300301301301301302302302303303303304303302302301301300302303303303303303302303303303304303303302303303303303303303303302302302302302301301301301301302302302302302301302301301301300300301301300300300301301302302301301301301301302302302302302303303303303303302302303302303303303303303304304304303304304303304304304305306306305305304303303302302303302301301302302301301302301301300302301301300301301301301301301302302301302302302302302301302301302302302302302302302303302303303303302302302302302302302302302302301302302302302301301301301301300300301301300300300300300300300301301301301301301301301301301301302301301301301301301301301302302302303302302302302302301301302301301301300300300300300300300299299299299298299299299299299299299299298298298298298297297298298298297297297298298298298297297297297297297297298298298297297297297297297297297297296296296296295295295295295295295294294294294294294294294294293294294293293293293293293293293292293292292292292292292293292292292292292292291291291291291291291291290290290290290290290290290291290290290290290290290290290290290291291291291291 299300301301299300298299297300298296295297297296294296296294296297295300295999303302301999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301304305305304305305306306305305306304302303302302302302302303302302303303303303303303303303302303302303305303302303303302301301301302302301302302302303303302301301299300300301301302303303302303304304304304303304303304303303303303303302303302302301302302302302302302302302301302301302301301300300300300302301302302300300300302302303304305304305305304304305305304304303305305306304302299999999999304303306308308307306307308308309310310310310310308306306307999310311310312313999999999999309308309309308307308308308309309309308308306307306306306306305305304304304303303303304304304304303303304304304303303303303303303303304303302302301301301301301302303304302301301301301303303304303303303303303303304304305304302303304302302303303303303303304304303304304304303303302302302305305306305304303304304305305306306306305305304304305305305306305304304304305303303303303303303303303303303303302303303302302302302302303303303304305304303303304304303303303304304303303303303303303303304303302302301302301301301301301300301300300301301299300300301300301300300301302302302302302303303303302302302301301301302301302302303303302303303303303304303303303303303303303303303303303302302302302300301301301300301302302302301301301301301299300300300300300300301300301301301301302301300301302303302301302302303303303303303303303303303303303304304304304304303304303303303303303304305305305305304304304303303302301301302301302301300301300301300301301301300301300302301301302302302302302302302302302301301301301302302302302303302302303303303303303302302303302302302302302302302302301302301302302301301301302301301302301300300301301301300301301301301301301301301302302301301301301301301300301301301301302302303303302302302302302302301301301301301300300300300299299299299299299299299299299299299299299299298298298298297297297298298297297297298298298298298297297297298298298297298298298298298297297297297297296296297296296295295295295295295295295294294294294294294293294293294293294293293293293293292293293292292292292292292292292292292292291291291292291291290291291291291291290290290290290289290290290290290290290290290290290290290290291291291291291291 300301300302301299301301298297297297298298298297297299295296294294293294294298300304306306999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301300302304303304304305304304304304304303303302302303302302303303303302302303302304303303303304303302303303304303303303303301301301302302302302302302302302302302301301300299300300301302302303302302304303303303303304304304304303304304304303303303303303302302302302303301301302302301301301301301300300300300300301301302302299299300303302305304304304304306305305304305305304303304304305304302301999999999999304305999308309308307307309309309308309310309306306306307999999311311309999999999999999309308309308308308309308308308309308308307306306306306306305304304304304304302303304303303304302302304303303304302302304304303302302303303302302303302303303303303303303304304303303302303303303302302303304304304304305304302303303302302302302303303303303303304304304304303302303302302304305305305304303303304304305305305305306306305305304305304304304305304304303304303303303303303303303303303303303303302302302302302303302303303303303303303303303304304304303302303303302303302302303302303303303302302302301301301300301301301301300300300300300299299299299301300300300302302302302302303303302302303303302302302302302302303302303302302303303302303303304304303303303302303303303303302302302301300302300300299301301301301301301301301301300300300300300300300300301301301301301301301302300301301302301302302302303304303303302302303303303304303303303304304304303303302303303304304303304305304303304303303302302301301302302301301301301300300301301300300300301301301302301301301302302302302302302302302302302302302302303303302302303302303303303303302302302302302303302303302302303302302302301301301301301302301302303303301301301301302301301301301301301301301302302302302301302301301301301301301301301302302302302303302302302301302302301301301300301300300300300299299299299299299299299299299299299299299298298298298297297297298298297297297297297297298298297298298298299298298297298298298298297297297297297297296296296296296295295295295295295295295294294294294294294293293293293293293293293293293293293293292292292292292292292293292292292292291292292292291291291291291290290290290290290289289289289289289290290290290290290290290290291291291291291291291 302303302300301300300298297298298299297298299297298296296298299294293295293300302306306305999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299300302303303304303304304304303305304304304303303302303302303303302302302301301303303302302304303304303302302302304304303302302302302302302301302301301300301300300301300300300300300302302302302303304303303303304303303303303303303303303303303303303304303303303302303302302302301301302301301300300300300300300301300302301299300302303303303303304305305305304305305306305305304304304303304302299999999999999999999999999999999307306308308309307306308308306307307999999311311310311999999999999999999307308309308308308307308308308308307307307306305306305305303304303304303302302303303303303302302301302303303303304304304304303303303303304303303303303304302303303304304304303301303302302302303303303303305303305304305302302303303302302302302303303303304304304303304304304304304304303304303304304304303305305305304305305305305305305305303304303304304304304303303303303303303303303304304304304304303304303303302303302303303303302303303302304303303304303303301302302302302302302302302303302302301302301301301301301302302301301301301300300300299299299300300301300301301302301301301303303302302301302302301301302302301303302303303303304304303303303303302303304302303303303302302303302302301302301301300300300300300301301301301300300299300300300300300300300300301302301301301301301301301302302302301301302303303303303302302303303303303304303304304304304304303303304304304303303304303303303303303304303302302302302302301301301300300300301300300301301301301301301301302302302302303301302303303302302302302302303303302302303302302302303303303303303303302302303302302302303303303303302301302302302301302301302303302301301301301301301301301301301301301301301301301302301301302301301301301301300301301301302302302302301301302301301301301301300301300300300299299299299299299298298298298298299299299299298298298298297297297297298297297297297297298298298298298298298299298297298298299298298298297298297297296296296296296295295295295295295295294294295294294294294294293293294294294293293293293293293293293293292292292292292292292292292292292292293292292292291291291291290291290290290290289289290290289290290290290290290290291290291291291291291291291291 302301302300301299298299298298299300298298298298297295296296295297294294293299301305300302302999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297300302302303303303304304304303305304303303303303303303302302303303303303302302302302302302303303304302301302302302303303303303303303302301301301301301301301300301300299300300301300301302302302303303304303304304304304302302303303303304303303303303303303303303303303302302303302302302301302302301300301300300299299299299299302302301303304305304305305304305304305304304304303303303302303301301999999999999999999999999999999305305306307306306306306307305306307999999312311309999999999999999999999999306308308308308307308307307308308307307307306306306305304304303303303303303303302302302302302300302303302303303304304303303302302303302302302303303303303303303303303302302302302302303303302303302303304305304303303302302303303302302302302302302303304304304304304305303304303303304304303306305304305303303304304304304304304304305305304304303303303303303303303303303303303303303303303304304303303303303303302302302302302303301302302302303303302303302302302302301302301302301301302302302302301301301301300300301302301300300301300300300300300298299299300300300300300300300301301301302302301301301302302302301301301302303302302303303303303303303303303302302303302302303303301302302302301301300300300300300300301300300300300300300300300299299299299300300300300300300300300301301300300301302302302302301301301301302301302302302302303303303305304304303304304302304304304305303304303302303303303303303302302302302302302302300301300301301301300301302303301302301302302302302302301302303303303303302302302302303303302302302302302302303303303303303303303303303303303303302302303303302302302302302302302301301302302300301301301301302301301301301301301301301302302302302301301301301301301301300301301301301301301301301301301301301301300300300300300300300299299299299299299299299298298299299299299299298299298298297297297297298297298298298298299298298299298298299298299298298299299299299298298298298297296296296296296296295295295295295295295295294294294294294294294294293294294294294293293293293293293292292292292292292292292292291292292292291291291291290291290290290290290289289289289289289289289289290290290290290290291291291291291291291291291290 300300302299300299298298299300299300298298297297297296295297298298294295295297301304305303303999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288293295298300302303303302303304303304304304304303303303302303303302303303303302303303302302302301301302302302302303304305304303303304303303302301301302301301301300301301300301301301300301301302302302303303304304304304304304304304303304304304304304303304304304305304304303303303303303303303302301301302302301301301299298999300299301303304302306304304305305304304305304304303303304304304303303303301999999999999999999999999999999999305304305305305304305306306306307307307999999999999999999309307999999999999306308308308307307307307308308308307307307307305305304305304302302302303303302302303302302303303301303303303304303303303303302303302302302302301302302303302301302302302301302303303303303303303303302303303304303301302302302302301302302302303302303303302303303304305305304302303303304303305306303304303304303304304303303303304304304304304303303304303303302303303304303303304303303303303303302302303303302302302301302302302301301301301301302302303302301302301301301301301301300301301301301301301300301301299301300300300300300301300300300300299299300300300300300300300300301300301301301301301301301301301302301301301304302302302303303303303303303303302303302302302302303302302301302302301301301301300300300300300300300300301300299300300300299299299300300300300301300301301301301301301300302301301301300300300301301302302302302303302303303304304304303303303304303304304304303304303303303303303303303303302302302302301301301301299300302300300302302302302302302302302302302302303303303303304303303302302302303302302302302302302303303303303304303304303303303304303304303303303302302302302303302302301301301301301301302302302301301301301301301301301301302302302302301302301301301301301301301302302302301301301302301301300301300300300300300301301300300299299299299299299299298299299299298299298298298298298298298298298298298298298298298298299299299299299299298298298298298299298298298298297297296296296295295295295295295294294294294294294294294294294294294293293293293293293293293293292292293292292292292291291292292292291291292292292291291291290290290290290290290289289289289289289289289289289290290290290290290291291291291291291291290290290 300301301300300300299299299299298298300300296298297298296296297297295296294295299303304302298999999999999301999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292292292292294297299301302302302303303303302302303303303303302302302302302302301302301302301301301301300301301301302303303303303303303303302302302301301301301300301301300300300300300299300299300301301301301301303303304303303303303303303304305305305305304304303304305305305304305305305304304304303302302302302301303301301299298999301301302304304303303304304305306304303303303303303304305304303304304303301999999999999999999999999999999305304306306306305306306306306309309309308999999999999999999306305999999999999307308308308308307308308308308308308308307307306306305305305303301302303302301303303302302302303302302302302303303303304302302303302303302302302302303302301301301301301301303303303303304303303302302303304302303303302303301302302302303303302303303302302303303302304305304304304303303303306304303303305303304303304303303303303304305305304303303304303303303303303303304304303303303303303303303303303303302302301301301302301302302301301301301302302303303302301301301301301301300300301301301301301301301301300301300300300299300301301301301300300299300300300301300300300300300301301301302301301300301301301301301302303304302302302303303303303303303303303303302302301302301302301302302302301300301301300300300301302301301300300300300300300301301300299299300300300300300300301301301302301299300302301301300301300301301301302302302302303303303304303303304304303303302303304304304305304304304303304304304303303302302303302301301301300301301302300301301301303302303303302303303303304303303303304304303303303303303303303303303303303302303304303304304304304303304303304303304303303302303302302303302301301301301301301302302302302301301301302301301301301301302301302301302302301301301301301301301301301302301301301301300301300300300299300299300300300299299299299299299299298298298298298298298298298298298297298298298298297298298298299299298298299299299299299298298298298298298299298298298298298297297296296295295295295295295294294294294294294294294294294294294294293293293293293292293292292292292292292291291291291291291291291291291291291290290290290290290289289289289289289289289289289289289289290290290290290291291290290291291291290290290291290 301301301301301300301298296298297295297296295295297299297297298297299298295296299300303302299999999999301301305999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293293294292293294296298300301302301301302302301302302301301301301301301301301301301301301301300300300301300300301300302302302302303303303303303302302301302301301302302301299299300299300300299299300301301301301301302302303304304304304303302303304305304304304304304304304304304305304305305305304305303303303302301301301302301301299999300301302302303303304304304304304305303304303304304305304303304304302303299299999999999999999999999999304304305305306305305306306306999309310310309999999999999999999306306304304305306306306308308307308308308307308309308308307306306305305305304303303303303303302302303302302302302302302302302303304303303303302302302301302302302302301301301301302301301302302303304304303302303303304304304304303302304303302302302304303302303302302302302301300301304304306303304305306306307307305304305305303304304303302303303304305304304304304303304303303303304304304303303303303304303303303303303303303302302302301301301301302302301301302302303303302301301302302301301301301301301301301301301301301301301302300301300300300300301301301301300300300300300301301300300300300301301301301300301301301301300301302302302304302301303302303303303304303302302302302302303302301302302302303302302301301301300301301301302302301300300300299300300300300300300299300300300299300300301302302300299300300300300300300300300300301301301302303303303304303303302302303303303304303304304304304305304304304304304304303304304304303303303302302302302301302301301300301301303303303302302303303304304303303304304304304303303303303302303302303302303303303303303303304304304304304304304304304304304303303302302302302301301301301301301301302301301301301301301301301301301301301301302302301301301301302301301301301301302301301301300300300300300300300300300299299300300300299299299298299299299298298298298298298298297298298298298298298298298298298298298298298298298298298298298298297298298298298298298298297297297297297296295295295295295294294294294294294294293293294294294293293293293293293293292292292292292292291291291291291291291291291291291291291291291290290290290290290289289289289289289289289289289289289289290290290291291291291291291291291291291290290291290 301300301300300298298297297297297296295296295295297296298298299300299297296295298299299300302999999999302300304999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291293295296297298298298299299299299300300301301301301301301301300300301302302301301302302302302300301301301301300300301301301302301303302303303303303302301301301301302302302300299299299299300300300301300301301301302302302303303303303302303303303303304304304304304304304303303304303304306305305303305303303304303302302301301301299999999302301303303304303303303304305303303303303303304303303304303303302302300299999999999999999999999304303302302999999306304304306305304999308310310310999308307999999999308306306306306306305305306308308307307308307307308308307307306306305304303303303303303303303303303303302302302302301302302302302303302301302301301300300301301300301300300301301302303303300302302302303303304304303304304304304303304303301302302301301301301302301301301301300300301302303303303303303306305306305307306302303302302303303303303303304304304304303303303303303303303303303302303303304303303302303302302303303302302302301300301301301301300300300301301301301301302301302302300301301301301301300300300300300300300300300300300300300300300300301300300300299301300300300300300300300300300300301300301302302302302301300301300300301301302302300302302303303303302302302301301301301301302302301302302301300301300301301300300301301300300299298299299299299299299300300300300299300300299300300301300299300300300300300300300299297300301301301300303303303303303302303302302302303303304303304304303304302303303304304305305304305304302302302303301302300301301301301302302303303302303303303303303304303303304304304304303303303303303302302303303304303303303303304304304304304304304305304304303304303303302302302302302302301301301301301301301301301301301301301301301301301301301301302302301301301301301301300301301301301301301300300299300300300300300300300300299300299299299299298298299298298298298298298298297298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298297298298297296296295295295295294294294294294293293293293293293293294293293293293293293293292292292292291292291291291291291291290291290291291290291290290290290290289289289289289289289289289289289289289289290290290290290291291291291291291291291291291290290290290 301300300300299299299296297297297297296297296296296299298300300299298299302298298297297299301299300299300298301999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291293294294296297299300300301301301302300301301301302302302302302301302301302302301301300301302302302301301302302302301301301300300301301301302302302303302303303301301301301301301301300300300300300300299300300300301301301302302303303303302302302302303303303303304304305304303304303303303303304304304303303304302304304303302302301302301300300999301302302302303303304303303302302302304302302301302303304303301302302299297999999999999999999999301301301999999999999999305306303302999308310311310309307308999999999307308308307307306304301303307307307308308308308308308307306306305305304303304304303303304304304303303302302301301302302302301301301301301301302302302301301301301301300301300301301301302303302301303302303303304305304304303302302303302302302301301300300301302302301300302301301301302303303302301302303302302305303303302302302303301303303303304304303304304303303303303303303302302302302302303303303303303303302302303302302302302301301301300300300300301300301300301300301301301301301300301300301301300300300300300300300300300299300299299300300299300300300300299299300300300299300300301300300299299301301301301301302301303302299300301300300301301302302302303302302302302301302301301301301301299301301302302302301301301300301301300301300300299300298298298298299298298299300299299299299300300300300300299299299299299299299299299299299301302300300301301302302301301302302302302303302303304304304304303303303303303305305304304304305302303302302301301301301301301302302302303302302303303303303303304303303303303304304304303304303303304304304303303303303304304303304303304304304303303304304303303303303303302302302302302301301302301301301301301301301301300301301301301301301301301301301301301300300300301300300301301301300300299299299299300300300300300299299300300299299299298298298298298298298298299298298298298298298298298298298298298298298299298298299298299299298298298298299298298298298298298297298298297297296296295296295294294294294293293293293293293293293293293293293293293293293293292292292292292292291291291291291291290290290290290290290290290289290290289289289289289289289289289289289289290290290290290291290291291291291291291291291291291291290291290 299300300299298298297296296297297297297297297298298298297299300298298300299297296297298298297298300300300297297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292294297298299299300301302301302302302302301302302303303303303303302302302302301301301301301301301302302302301301301300301301300301301300301301301302301301301301302301300301301301300301300300299300300300300301301301301301302302303303303302302302303303303303303304304305304303304304303303303304304304303303303303304303303302302302302301301999999999302302302302303302301302301302302301301303302304304304304301301299298999999999999999999999301301300300999999999999999306306304999999308310310310309308308308999999306308308307306304302302301304306306307308308309308307307307306306305304304303303303303303304303303303302301301302301302302301300301302302301301301301300300300299300300301301300301301301302302302303302303303302301303302302302301301302301301301300300300301300300301301301301300302303303301302299301301300301302302303302303302303302303303303304304304303303303302303303303302302302302302302302302302302303303302302302302301302301301300301301300300299300300300300300301301301300301300300299299300300299300300300300300300300299299300300300300300300300300299299299298299299299299299300300300300299299301301300300300301302301301300300300299300302301301301301302302302302301301301301301301300301299300300302302302301301300300300299299299299300300299299298298298298299298298299299299299299299299300299299299299299299299299299299299300299301300300300302301301300301301300301302302302302302303304303303303304304304304305306305306304304304303303302303301303302300301302301302302302303303303303303303303303304303303304304304304304303304304304304304304303304304304304304304304304303304303303304304303303302303302302302302302301302302302301301301301301301301301301301301301301302301301301301300300300300300300300300300300300300300300300299300300300300299300300300300299299299299298298298298298298298298298299299299299299298298298298299298298298298298299299299299299299299299299299299299298297298298298297297297297296296296295295295294294294294294293293293292293293292293293293293293293293293292292292292291291291291291291291291291290290290290290290290290289290290290289289289289289289290290290290290290290290290290290291291291291291291291291291291291291291291291290 300300300299298297297296297297297298298299299299298297295300300300300301299298297297297298298299299300302999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292293294296298299301301301302302301302301302303302303302303303302303303303303302302302301302302301302302302302301301301301300301301302301301301301301302302302302301301301301301301300300301300300300299300300299300300300301301301301302302303303303303302303303303302303303304305303303303303302303303304304304304303304303303302302301302302301302300999999999301302302303302301300301301302302302303302303303304304303302302301298297999999299300300999999301300999999999999999999305305303999999308310309308309308307307999999999307307306303303302300301304306307307307308308307307306306306305305304303303303304303303303303302302302301301302301301301300301302301301301302300300300300300299300300300301299301301299302302301301303303302301301301301301302301301301300301301300299299300300300302301301302302301301299299299300301300300300300301301302303303303303302303303304303303303303302302303303303302302302302302301302302302302302303302302301302301301301301301301301300300300299299299300300301300300300300301300300300300300300299299300299300300299299299298299299299300299299300300299299300299299299299300299300298299299299300299299300299300300300301300301300300300300301301300301301302302301301301301301301300301301300300301300301301300300300300300299298299299299298299298298299298298299298298299299299299300300301300300299299299299299300299299299299300300300300300300301302302301300301301301301301301301302303303303303303304304304305305306305305307306303304303303301302302302302301302301302303302302303303303303304303303303303303303304304304304304304304304304304303304304304304303304305304303303303304304303303303303303302302302302302302301302302301302301301301301301301301301301302301301302301301301300300300300300300300300300300300299299299299299299300300299299299298299299299299299298299298298298299299298298298298299299299298298298298298298298298298299299299299299299299299300299299299299299299298298298298298297297297297296296296295295294295294294293293293293293292292292292292292293293293292293293292292292292292291291291291291291291291291290290290290290290290290290290290290290290290290290290290290290290290290291291291291291291291291291291292292292292292292292292291291 299299299299298298297298296297296297298299298298299297298298300299299300299299298298299297299301300300301297999999300301999999999999999999999999999999999999999999999999999999999999999999999999999999999999284999999999999999999999292294295296297299301301302302302304302301302302302302302302302302302303303303303303302302302302302301302302302302301301301301300301301301301301302301301302302302302302301301301301300301301301301301300300299299300300300300300301302301302303303303304303302303303302302302303303303303303302303303302303304304304304304304304303303303303302301300300301299999999999999301999999302301301301302302302303303304303303303304302302302299300298999299299300300999999299300999999999999999999304303999999999309310309309309309306306999999999999306304302302303304305305306306307307307307307307305306306303304304302303303304304303302302302301302301301301301300300300301301301301301301300300299299300300300300299300301301301302302302302303303302302300301301301300300299300300300301302300300298299300299301301302301301301300300299300300300300300300300301301302302303303302302302303303303303303303302303302303302302301301301301301301302302302302302302301301301301300300300300300301300299299299299299300301300300300298300301300300299299300300299299300300299300300299298298299299299299299299299299299299300299299300300300299299299299299300299299299299299299300299300300300301299300300301302301301300301301301301301300300300300300300300300299300301301300300300299299299298298299299299298298297298298298298298299299298299299298300300300300300299299299300300300299300299300300301301301301301302302301301301302301302302301301303302303303303303305303304304304305304304304305303304304303302302301301302302302302302302302303303303304304304303304304304304304304304304304305304305305304305305304304305304305304304304303303303304304304303303303302302302303302302302302301302302302301301302302302302302301301301301302302301301300300300301300301300300300300300299298299299299299299299299299299299299298299298299299299299299299298298298298298299299299298299298298298298298298298299299299300300300300299300299299300299299299299298298298298298298297297297296296296295295295295294294294294294293293293293293293293293293293293293293293293293292292292292291291291292291292291291291290291291290291291291290290290290290290290290290290290290290290290290291291291290290291290290291291291291291291292291292292291291291 299300297298298298297298299297296298298299298299298298300299299299300299298298298298299298297299302300298299300299300300300302303302999999999999999999999999999999999999999999999999999999999999999999999999999298299999999296296295295296296298299300303303303303303303302302302302303302303301301302302303303303303303302303302302302302303303303302302302301302302301301301301301302302302302302302302301301301301301301301300301301301300300300299300300300300300300302301302303303303304303302303303303302301301302302303303303302303304304304304304304304303304304304304303302302300299300999999999999302302301302302301301301300301301302302303304303303301303302301300299999300300301301300999301300999999999999999999305303303999999999309310310310309309307999999999999999305303299298302304305305306306306306306306307306305306306305305305303304303304304303303302302302302302301300301300299299301301301301301300300300299299300299300300300301300300300301302304304304303303303301302302301300300299300300300298300299298299299299299301300298301301301301300301301301300300300300300301301302302304303303301302302302302302302303302302301301301301301301301301301302301301301302301301300300301301300300299300300299300299298301299299299300301299300301301301300300300299299299299299299299298299300299299298299298299299299300299299299299300299299300299299300299299299299299299300301300299299298299302299300301301300300301301301301301301302302301301301300299300300299300300299301301300301300300300300299298299299299299298298297298298299298299298299298298299299301300299299299299299299298299300299300299299300300301301301301302301301301302301302302302303302303302304303303304305304304304305305304304305305305305304303303302302302303303303303302303303302303303303304303303303304304304304304304304305305305305305305305305305305305305305304304304303304304304304304304303303303302302303302302302302302302302301302301301302302302302302301301301301302301301301300301301300300300300300300300300299298299299299299299299299299299299299299299299299300300300299298298298299298299299299299299299298298298298298299299300300300300300300300300299299299298299299298298298298298298297298297296296296296295295295294294294294293292292292292292293292292292292293292292292292292293292292292292291291291291291291291291290290291290290290290290290290290290290290290290291290290291291291290290291291291291290291290291291291291291291292292291292292292292292 300298296298298298298299298297297297299298298299300298298300300300301301300298298299299297298299304301300299300301300999999302302303305999999999999999999999999999999999999999999999999999999999999999999999296298296296296297297297298298298299300300302303303303303302302303303303304303302302302303303303303303302302301301301302302301302302302302302302302302301301301300300300301301301301302301301300300300300301301301300301301301301300299299298299299300300300301301302303303303302302303303303303303300301301301302302302302303303303303304304304303304304304303303303302302301999999999999301302303303303302302302301301302302302303302303302301303303304303304303301302302301302301301301301302303999999999999304304301999999999999307309310310309309307305999999999999303303300298304304306305306307307307307307305306306306305305305305304303304303302303303303303303302302300301300299300299299301299300301301300300299299300299299299300299300300300301302303301302303302302302301302301299300299299299299298300299299298298299299300299298299300300300299299300300300301299299301301302303302302302303301301301301302302302302301301301300301300301301301301301301300300300302301301300300300301301300300299299300300299300299299299299300300299300301301300301300300299299299299299298298299299299298298298299299299299299300299299299299299299299299299298299299299300299299299299300300300299300299301299299301300300301301301302302301302302302302301301301301300301300300299301301301300300300301300300299299299299299297298299299297298298299299299299298298299299300299299300299299299299299299299299299299299300300301301301301301302301301301301301301302303303303303302303303303303305304305305305305305305305306305305304304303303303304304302304303304303303304304304305305304304304305304305304304305305305306306305306306306306305305305305305304304304304304304304304304304304303302302303302302302302303302302302301301302302301302302303302302302301301301301301300300300300300300300300299299299300299299298298298298298298298298298299299299299300300300300299298297297297297298298298299299299298298298298298298299299299300299299300299299299298298299298299299298298297297297297297296296295295295295295294294294294293293292292292293292292292293293293293292292292292292292292292292292291291291291291291291291291291291291290290290290290291290290290291291291291291291291291291291291291291291291291291291291291291292291292292292292292292292292292 298297298297297297297297298298297296297299299300299299299300301301302300299299298299299297298299303300300299300299299999999299299301303302999999999999999999999999999999999999999999999999999999999999999293299298297297298299299299299300299299300300302302303303303303303303303303303302301303303303304304305303302302301303302302303301302302302302302302302301302301300301300300300300300301301301301301300300301301300300300301301300300299298298298299299299300300300301302302302302302302302302302302302299300300301302302301303301302302303304304303303304304303303302301300300299999999999301302304304303304303301300300300300300301301302302302302302302303303303303302302301301301301301302302302301999999999999304303301999999304305305308309310308308306302999999300298299302301999303303305306306306307306307307307307305305305304304304304304303303303303304303301303302301300300300300300299299300301301302302301299299300300299300299300300300301301301302302301304301301301300301301300301300299298298299298299299300298298299299299299298300300301300300300300301300301301299301301302302303302301302302301301302302302302301301301301301300301300301301300301301300298301301301301301300301300301300300300299300300300301300300300300300301300300300301300300300300300300299299299298299300300299299299299299299300300300300300300300300300298300299299299299297299300300300300300300301301300303302301302298300301301301302302302302303302302302302302302300301302302303299300299300300301300301300300300300300299298299299299299299298298298298299299299299299299299299299299299300300300299299299298299299299299300300300301301300301301300300300300301302302303303304303303304303305304304305304305305305304305305304305304305305304304303304304304304304304303304304305304305305305304304304303304304304305305305305305306306307306305305305305304304305304305304303303304304303303303302303303302302302302302301301301301302302302302302302302302302302301301301301300300300300300300299300300300300299298299298298298298298298298298298298298298300299299299300300298298298298297297297298298299299298299298298298298298298299299300300300300299299299299298298299299298298298297297297297297296296296296294295294294294294294294293293292293293293292292294293294294293292293292292292292292292292292292292291291292292292291291291291291291291291290290291291291291291291291291291292292292292291292291291291291291291291291291291291291291292292292292292292292292 297297297297298298299299297298299300299298298298299298299299300300301300299298298300299301300302302300298301299300296298298298301302302301301299999999999999999999999999999999999999999999999999999999999999299299300299300300300299300300301301301301302302302301302303303304303302304301301303303303303304305303302302302303303302302301302302302302302302302301301300300300300300301300300301301301301301301301301301300300300301301300299299299300300300300299299300301301302303302302302302302302302303301299300300301301301301303302302302303304303304304303303303303302301299999999999999300301301302302302302302302301300300300303302302301301302302303305303303303303302302301302301300300301301301299999999999999302300999999302303302302304999309309307303302999999300298299301299999303303304304306307306306306306306306305306305305305305304303303303303303303303302302301301300300300300300299299300300300301300299300299299299299297298300298299300301301302303303303301300300301300300301300300300298297297298299299297298298298298299298298299298300300299299299299299298299300300300300301301300300301302301302302302302301301301300300299300300300300300300299299300299300300300300300299299300300299299299298299299298299299299300300300300300300300299299299299299299299299299298298298299299299299299299299300300300299300300300300300298299299299299299298297299299299300299299300302302303302301300300300301302301302301301301301302302303303302302301300301302303301300299301300300300300300301300299300299299298298298298298298297297297297298298298298298298298298299300299300300298298298298299299299299299299299300300300300300300300299300301302301301302302303304303304303303303304303304303303304305305304304305304304304304305304304304304303304303303304304305305304304304304304305304304304304305307306307306307307307307306305305304305305305304304304304303303304304303304303303303302302302302302302302302302302302302302302302302302302302301301301301300300300300300299299300300300299300299299298298298298297298298298298298298298300300301299300299299298298298297297297298298299298298297298298299298298298298299299299299299299298298298298298298298297297297297297297297296296296295295295294293294294293293293293293293293293292292293293294293293293293293292291292292292292292292292291291291292292291291291291291291291291291291291291291291291291291291291292292292292292292292291292291291291291291291291291291292292292292292292292292292292 297297297297297297298298297298298298300299299298299298299299299300300299300299300300299301301302300302300301298300299298299299299301302301301301300299999999999999999999999999999999999999999999999999999300301300301301301301300301300301300301301301302301302300300302304303303303303303303304303303304304303303303302302303303302303302302302302302302302303301301300300300300300300301301300301300300300300301301301300300300300300300299300300299300299298299299300301301301302302302301301302301301301300300301300301302302301303304303303303303303303303303303303303302300299999999999999299300302303304305303302302302301300301302301302301301302300303306304303303303302300301301301300300300300302999999999999302301999999302302301302301999999999999305304302302301301301301302300297999303303304304306306306306306306306307306304306305304304304304304302302302303302301301301301300301300299300300301300300300300300300299299299298299299299300301301301302302303303303302300300300299301300301300299299299297298299298298298297297297297298299298299298299299299299299299299299299300301301301300300300300301302301302300300300300301300299299299299299299299299299298299299299299299299300299298298299299298299299298298298299299300300300300300300300299298298299298299299299299299298298298298299299299299299299300300300300299300300300299299300299299299298298298300300300299298300301300302303302302301301303301301301301301302301302302303302302303301301301301302303301300299300300301301301300300300300300299298299299299299298298298298297298298297298298298298298298299300299301300299299298299299298299299299298300300300300300301300301299300300301301300302303303303303304303304303303302303304303303304304305304305305304304304305305305304304304304303304304305304305305304303304303305305305304304306307306307306306307307307306306305305305305304305304304304304304303304304304304303303303302302302302302301302302302302302303303302302302302302301301301301300300300300299299299300299300299300299298298298298298298298298297298298298298298299299299299299299298298298297297297298298298298298297298298298298298298298298298299298298298298298297298297297297297297296296297297296296296295295295293293293293293293293293293293293293293293293293293293293293293293292292292292292292292292292291291291292292292292292291292292291291291291291291291292291291291292292292292292292292292292292292292292292292292291291291291291292292292292292292292293293293 297297297298298297298298297296297297298298298298299298299299299300301300301300300301301300302302302302301301300300300298300300300300301302301301301301299999999999999999999999999999999999999999999999297300301300302303302302301301301301301301302302302301301300300302303303304305303304304304303303305305304303303302303303303303303303302302302302302301301301301301300300300300300301301301301301301300300300300300299299299300299299299299299299299298299299299299301301302303303301301302301301300300300299299300301302302302302302302303303303303303304304303303303302300999300299300300300301303303305306305303302301301302300301301301301302301302302302303304307305301301302301300299298999999999999999999999301299999999301300299301999999999999999304303303303302301300299301299299302303303303999305306306306306306306306305305305305304304303303303303301302303303301300301301302301300301301300301300300299300298299299299298298298299299300299300301302299300303300299299298300300300299300299297299297298297297298297297297297297298298298298298299299299298298299299298299299301301301301299299300300300300300302301302301301300300300300300298299299299299299299298298299299299299299299298298299299299298297298298298298299299300299299300300300299299299299299299299298299299298298298298299299299299299299299300300300300300300300300299299299299298298299299300300299300299299300301302302302302301300302301300302301301301301302301301301301301301301301301300301299300300300300299300300300299299300300299298298299299299298298298298298298298298298299298299299298299299300301300299298299299299298298299300299300300300299300300300300300300299300300301302301302303303304303302302302305303303303304304304304304304304304305305305305305303303303304304304304304304305305305304303304305304305305305306306306306307307307306307306305305305304305304304304304305305304304304304304303303303303302302302302302301302302302302302302303302302302302301301301301301300300300299300299299300299299299299298298298298298298298298299298298298299299298299299298298299299298297297297297297297296297297297298298297297297298297297298298298298298297298297298298297297297297297296297297297296296294294295294293294293293293294293293293293293293294293292294293293293293293292293292292292292292292292292291291292292292292292292292292292292292292292292292292292292292292292292292292292292292293293293292292292292292292292292292291291292292292292292292292293293293 296296297297297297297297297295296297298298296297298298298298300300301300301300298299299298301302301300300301300299300299299300299299299300300300298300999999999999999999999999999999999999999999999999300301301303302303302302301301301301301301302302301301301301299300302303304304304305304304305304304304304303303303304303304304304304304302302302303302301301300300301300300300301301301300300301301301301301300300300299299299300299299299299300299300299299300300301301302302302301301302302301300300300300300300301302301302302302302304303303303303303303303303303302999302302302301303302302301302304303304303303302302302301301301301302302303303303303303304306303301301300300301300999999999999999999999301300297999999300298999999999999999999999303303303302302301300299298299296297301302304999304306307306307307307306305305305304303301302302303303302301302303301300300300301302300301301301301301300300299301298298299298298299299299300300299299301299297298300298298297299300299300299299299299297297296297298297296297296297297298298298298298298299298298298298298298299300300300300299299300300300299301301301300300300300300299299299298298298298298297298298298298298297298298299298297299299299297297298297298298298299298299299299299299299299299298298299298298299299298298298298298298299299299299299299300300300300300300299300299299299298298298299300299300299299298299299301302302302300300300299301301303301301301301301301301301301301301301301300301300301300300300299300300299299299299298298298298299299298298298297297298298297297298299298299299299299298300299300300300299299298298299300300300299299299299299299299299298298299299300300300300299302303303303303303303303304303303303304304304304303303304305304305305305303303304303304304304303304304304303306305304304304305305306306307307306306306307306307305305305305304305304304304304304304305304304305304303303303302302302302302302302302302302302303303303303302302301301301301301301300300300299300300300299299299299298298298298298299299299299299299299299299299298299299299299299299298296297296297297296296296297296296297297297297298296297298297297297297297297298298298298297297297297297296297297296295294294295295294293293293293294293294293293294294293293293293294293294293293292292292293292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292291292292291291291291291291291292291292292292293292 297297297297297296296296296297296296297297296296298298297298299300301302302300299299301301300302302301300298301301298299299297296300298297299299298999999999999999999999999999999999999999999999999301301302303302303303302301300300300301300301301300301300300300300300301302304304304305304303305304303304304303303303303304304303304304303303302302302302301301301301300300300300300300300301301301301301301301300300300300299299300299299299300300300300300300300299301301301301301302301301302301302301301301300300301302301302302302303304303303302303303303303301302999999302302303303303302303302302301301302302302302302302302303303302302302303303303305306304303302302301300301301301999999999999999999999303302999999300301298999999999999999999999999302302302302301300301302999999301300302303304303306307307307306306306306305305304303303302301302302302303302303301300300300301301302303302302302301299300299301300297299298298298299300300301300299301299298298298300298301299299299299299300299299297298296298297296295298296297298298298298298299298298298298299298298298299299299299299298299299300299299300301301301300300300299300299299299299298298298298297297298298299298298299298298298298299297296297298297297299299300298298298298298299299299298299298298298298298299298298298298298298299299299300299299300300300300300300300299299299299299299299299300299299299298299300299300299302302300300300301300300300301302301301301302301302301301301300301301301301301301301300300301301300300300299301300298299299298299299299298298298299298298298299298299300299298298300299301300300300300299299299301300299299300299299299299299299299300300299300300301301301302302303303303303303304304303303303304303303303303305305304305305304304304305305304304304304304303304303304306305305304303303304305306306306305306307307306306305304305305305305305305304304304304304303302304303303303303303302303303303303303303302303303303303303303303303302302301301301301301300300300300301300299299299299299299299299299299299299299299299299300300300299299299299299299298297296295296297297296296296295295296297296297297296297296297297296296297297297297296296297297297297297297296296295295295295293293293294293293293293294293292293292292292293293293292293293293292292292293292292293293292292292292291292292292292292292292292292292292292292292292292292292292292292292292292292292292292293293292292292292292292292291291292291291291291291291292292292293292293 297297298298298297297297296296294295297296297297297297296295299300300300300298300299300298301302301301300299298298299299299297298297297298300299298999999999999999999999999999999999999999999999999999302302303303303302301302301301301301301301300300300300299300300301300302303303304304304303303303303304303303302303302303303303302302302303303302302302301302300301300299299299300300299300300300300301300300300299299299299299299299299299299299299299300300300300301300301302301302301300301300302301300300300301302302302302302303302303303304302303303302302301999999999303303302303303302303302302301302302302303303303304303303303303303302303303304304305303304304304302301302300299999999999999999999999303303999999301300300999999999999999999298300300301301301301301301300999999303302302999305304306306306306307307306306305305304304304303301303301302303302302301301300301302304302304303302303302301302301301299298298297298299299299300301301299298299298298298300299299299299299299299300299300298298297296296296297297298298298298298298298299298298298298299299299298299299299298298298299299299299300300302301301301301300299299299299300299299298298297297297296297298298298297297297297297298297297298298297298298299298298297297298299298298299299298299298298298298298298298299298298298299299299300299300299299300299300300300300300299299298299298299299299298300298299299299299301300299300301301302301300301301302302301300301301301302302301302302301301302302301302301300301301301301299300300300298299297297299298299299298298297299299298298299299299299299298298301301300301300300300299300300300300300300299299299300300300300301300300301300300301301301301302303303303303304305304303304304303304303304304305304305304304304305304304304304304303304306304302305305306306305303303303305306305306305306307306307306305305304305305305305305303304304304304304303303304304304303302303302302302303303302303302302302303302303303302302301301301301301301300300300301300299299299299299299299299299298298299298298299299299299300299299299299299299298297297296295296297297297296296296295295297297295296296296296296296296296296296296296297296296296296297296296296296295295294294294293293292292292293294292292292293292292292293293293293293293293293293292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292293292292292292292292292292292291291292291292292292292292292292293293 297298299300298298297297297296295293295297296296297297293296298299300298298297298300301300301301301301299299298299299300298297299298298300301299999999999999999999999999999999999999999999999299999301302303303303302302302302302301301302302301301301300300301301301301303302303303304304305304304304304304303302302302302302302303302303302303302303301301302301300301300299300300299299299299300299300300300300300300299299299298298298298298299299299300299300300301300300301301301302301301300300301301301300301301301302302302301302302302302302302302303302301999999999999302303303303302302303302303301301301301302303303303303303303304304304304302302302303303303304303302302301301300300999999999999999999301300999301304301301299299299298299299299299300301301302302303303301999999999302302302305306306307306305305306306306305305305305304302302302303302303303302301301301301302303302303302302301302302300301300298298297297297298298298299298300299298298297297298298299298298299299299299299299299297298297296296296298298297297298298298298298298299298298298299299298299298299298298297298299299298300301301301301302301301300300299300300300299298298297298297297999296297297298297297297298297298297297298298298297299298297298298298299298298299299298298297298298298298298298298298299298299299299299299300299299300300300300300300300300299299299298299297299299299299299300299299299301301301300301301301301301301301301301300299301302301302301300302302301302302302302302302302302302302301301300301298298298297298298298298299298298298299298297297298299298298298298299299300299299300300300300299300299300300300300300299300299300300300301300301300300301302303302302302302302302302302303304304304303304302303303304304304305305304304303302304304305304304303304304304305305305305305304304304305305305306304305305305305305305305306306305305305304304304303304303303304304303304303303303303302302303303303302302302302303302302303302302302302301301301300300299301300300299300299299299299299300299299298299299299298299298299300300300300299299299298298298298298298297297297296297296296297297296297297297296296297297296297296296296296296297296296296296296296296296295295295295294294294294293293294292292292293292292293293293293293293293293293293293293293293293293292293292291292292292292292292292292292292292292291292292292292292292292292292292292292292292292292292293293293292292292292292292292292292292292292292292292292292292293293293 299299300300299298298298297297294294295295297296296297295296297298299298298297298300299301300301301301300298300301300300299298298298299299299297999999999999999999999999999999999999999999300301301303302302302304303303303303302302301302302302300300300300300301301302302302303304304305305305304303303303302303303303303302302302303303302302302302301300300300300299300300300300299299299299299299300300300300300300299299299298298298298298299299300300300300300301302302301301302301299301300300301300301300300300301302302301301301302301302302302302301301999999999999302303303303302301302302302301301302301302302301302302301303303305304305303303302303302303303303302302302302302301301300999999999999999999296999302303302303302302302303302301300300300301302302303302302302303307999999999303304305305307308306305306306306305305305305302303302302302302302301301301301301301302302301301302300301302301300299299299297298297298297297297297297297297298297297297297298298298298298298299299299299299297297298297297297297297297298298298298298299298299298298298298300298299298298298297297298298298298298298298300300302301300300300300300300299299299298297297297296297297296296296297297297297297296296297297297296298297296297297298298298298298298298297298298298298298297297297297298298298298298298298299299299299300299300300299299300299299299298299299297299298298299297298299299299300300300299299300300301301301301301300299299300301300300300300300300299302301301300301302303301303302300299297299298299297297297295297299298296296298297298298297297297297297295299296299299300300301301300300300299299299300300300299299300301300300300300299299299300301302302303302302302302303303302304302302303302303302303304304304304305305303304302304304304304304304304305304305304305306305305305304304305305305305305306305305305305305306307306307306305305305305303303304304303304304303303303303303303303303303303302303303302302303303303302302302302302302301301301301301301300299300299300300300300300300300299299299299298299299300301300300300300299299299299299298297298297297297297297296297297296294297296296297297297297296296296296296297297297295297296296296295295296296295295295295295295294294294293292292293294292293293293293293293293293293293293293293293293293293292293292291292292292292292292292292292292292292292292292292292292292292291292292292292292292293292292292293293292292292292292293292292292292292292292292292292293293293293293 299300301300299298295296296295295294294294295295295297296297296296298299298298298298299300300302301300299298300301300299297296298297298299299295999999999999999999999999999999999999999999301301302302304304304304304304303302303303302302303301301301301302301302302302302303303304304305305304303303302302302302302303303302302302301302302303302301302301300300300299299299299299298299299298298298299298299299299299299299299299299298298298299299300300299299300301302302300300300301302301301300301301302301301300301301302301302301302301301302302302301999999999999301301302302303302302301302301302302302300302302302302302302303304304304304303302302302303303303303304303303303302302302301299299999999999999999300302302302303302303304305304303302302302303303303303303304304303999999999999306305306305307307306306306306306305306305304303303302301301303301301300302302302302301302300301299298299300299298299299299298298298299297297298298298298298298297297297298298297297296296298297297298298298299298297297295296296297299298299299299299299298298298298298299298298297298298298297297297298297298299298298299298300301300300299299299299299298298298296296297296296296296296296297297298298297296296297297297297297297297297297297298298298297298298298299298298298298297297297297298298298298298298299299298299299299299300299299299299299299298298299299299298297299299299300299299299299299299299299299299300300301301300299300300300301300300300300300300300300301300300300302303302302299301299300298299298297297297297298296296297296297297297297299298299299298297299298297299300301300301300300300300299298299299299299299300299300300300300300300300301302301302302303303304303303302303302302302302303303302303303303302304304304304304304305304305305304303303305304305305306305305305304304304305304305305306306305305305305305307307306306306306306305305304304304304304304304303303303303303303303303301302302302302303303303302303302302302302302301301301301301301302301301300300301300300300300300300299300300299299299300299301301301300299299299298298298298298297297297297297297297297296297297295296296294297295295296296297296296297298296297297298297296296296296296295295295295295295294294294294294294294294293293293293293293293293293293294294294294294294293293292292292292292292292292292292292292291292292292292292292293292292292292292292292292292292292292293292292293293293293292293292293293292292292292292292292292292293293293293293 302301301300299297297296295294294295294294294295296296296296296298297296296298299299298300302299301300299300301300298298298297297296297299298291999999999999999999999999999999999299299298300302302302302302304304304303303304303303303303302302302302303303302302303303302302303303303303305304303302302302302302302302302302302302302302302303302301301300300301299299299299299299299299299299299299298299299299299298299299299299299298298299299299299300300300300300301301301301301302301301301302300301301302301302301301302303302303301300300301301302999999999999300300300302302302302301301301301301301301301301301302303302303303301304302302302303303302302303303303304304304303303302302301300298297999999999999299299299303302302303306305304304304303302303304303303304304304304999999999999999305999305306306305304305306306305305305305304303301301301300302301300300302302301302301300300299298299299297298298298298297298298297298298298298298297297298297297298298298298297297297297298297298297298297297297297297297296297299298298298298298299298298298297298297298298297299298297298297297298298298298298298298299300301300300300299299299299299299298297296297296296295296296296297297297298297297297297297297297297296296297297297298298298298298299299298298298298297298298297298298298298298299299299299298298299299299299299299299299299299299299299299300298297299299298298299300299297297299299300299298299299301300300299300300300300300300299300299300300300301300300302304302303299299301297300300302300299300298298298296297296296297296296295297297298298299298299298300299301302301301300300300299299299298299298300299299299301300300301301301301302302302301303304304304304303302302303303303302303302302303302304303304304304304304304305305305304305303304305304305304305305304304306304304303304305305305306306304306306305307306307306305306305305304304304305304304305305304304304303303303303302302302302302302303302303302302302302303302303302301302301302302302302301300300300300300300300300300300300300300299300300299300301299299300300300299299299299299298298297298298297297297297297296296295296295295295296297297298295296297297296297297296296296296296296296296296295295295295294294294294294294294294294294293293293293293294294294294295294294293294293293293293292292292292292292292292292291291292291292293293293293292292292293292293293292292292292292293293292293293293293293294293293293292292292293292292292292292293293293293293 301302300300299297296296296297294296295294295296296297296296297296295298297298298299299301301301299300300300301300300299299298300300298298297296999999999999999999999999298298299301301299300302301302302302303304304303304304302303302302302302302303303304304303304303303303303303303304304303303303302302302302303302302302302302302301302301301301300300300300300298299299299299300299299299299299299299299299299299298299298298299299298299301301300301301300300300301301301301301301301301302302302301301301302302302302303302302301301301300301999999999999300301300301301302303303302303302302302301300300301301301304301302300302302302302301301303303303302302303303304305304302304303302301299298296999999999298298299999999302303303305305305304303303304999302303302304304305305999999999999999999999304305304305305305304305305304304304304302302301301301302303302302301303302301301299299299298298298298298297297297296296297297297297297297297297297297297297297296297298297297297299298298298297298298295295296296296297297297297298298298298298298298297298297297297298298298298297298298297297297298299298298298298300301300300300299299300300298299298296296296296296296296298297298296296297297297297297297297296297297297297297297297297298298299298299298298298298298298298298298297298298298299299299300299298299299299299299299299299299299298299300298298297299299299298299297299296298299298299299301298299298301300300299299300300301300299300300300300300300301299301301300302300301299299300300301301301300301300295297296296296296296296296296296296298298299299298299298299300300301301300300301300298298297299299298299298299301300300300300300301300301301303302303303303303303303303302303303303303303302302303304304302304304304304305305305305304304304304303305305305305305304305305305304303305305305305305306305306306307306306306305306306306305305305305304304305305305304304304305304304303303302302301301302302303303302302302303303303303303302303302302302302302301301301301301301301301301301301301300300300300300299299299299299300300300299300299299299298298298298298298297297298297297297296295295296296296296297297295296298297297297297297297297296296296296296296295295295295294294294294294294294295294294294294294294293293293293293295294293293293294293293293292292292293292292292292292291291291291292293292293293293293293293293293293293293292293293293293293293293293294293293294294293293293293293292292292292292293293293293293 301300300301298298296296296298297297296297294296296298297297299296297296298298300299300301301300300300299300301300298299298299301298298299297297999999999999999999999299299300300301301302302302302303303303304303303303303303303303302302302302303303304304304304303303304304303304303302301302303303302301302303303303302301302301302302302301300301300300300300299299299299299300300299299299299298298298298298298298298298299299299299299301302300301300299300300301300300300300302301301301302303301302302301301301304304302301301300300299300999999999999301300301301302301302303302304302302302302302302301302301302302301299299299301300300302302303302302302303303303303303303304304303303301299299300298297299300300300300300302302303304304304303303304302303303304304303305305304999999999999999999999302304305305306305304304304304303303304302303303302302303303303300300301300302299299300299299298297297298297296296296295296296296296296296297296296297297297297297297296297297297297296297298296296296297297297297296297297297298298298298299298298298298297297298297297298298297297297298297298298298299298298298299299300300300300300299299299299299299299296296297296297296297297296296296296296297298297297298296296297297296297297297297298298297297298298298298297297297297298298298298298297298298299299299299299297300300300299300299300299300299298299298298298297298298298299299298298298298298300301300299300299299299299299300299300300300300299299301301301300299299299297300299300300301300300300302300299298299298295295296296295295296297296296297298299299299299300301301301300301301300300300301300298300298298298299299298300300300300300300301301301302302302302303304304303303303302302303303304303303302303304304304305305305305305305305304304305304304304304305306304305305305306305305304305305305305305305306305306307307306306305306306306306306305305305306306306305304305305305305305304303302302302302302303303302303303303302303303303303303302302302302302302301301301301301301301301301300301301300300300299299299299299299299300300300300300300299299298299298298298298298298298298298297296296295297296297297297296296296297297297296297297297297297297296296296296296296296295295294294294294294294295295294294294294294294294293293293293294292294293293293293292292292292292293293292293293292292292292292293293293293293293294294293293294294294293293294293294293294294294295295295294294294294294294293292292293293292293293293293294 302304301301296298298298297297296297296297297296296299297297297297297298299298299301299301300300301298300301300300298298299299299298298298296297999999999999999999301302301300300300301302303303303302302303303304304304304303303303302303303303303304304304304304304304305303303302302302302302303302301302302302302302301301301302301300302301301301300300299299299300299299299299299299299299299299299298299298298297298298299299300300300301302300300299299300300301300300300301301301300301301301302302302301302302302302301302301301300300999999999999301300301301302302301301301301301301301302301302302301300301301302302300299299299300301301301302301302302302303303303303303304303302302301300300301301301301301300301302302303303303304303303303303303303303999303302301999999999999999999999999999999999302305306306305304304304303303303302301302302302302301301301301299300300300300299300299299297295297298296296296296296296296296295296296296296296295297296296296296295295298297297296297297297297297297297296297296297297296297299297298298297298298297297297297298298297298298297297297297297298297298298299298299298298299299299300299299299298299298299296296297296296297297297297297296296297297297297296296296296296296296297297297297298297297297297298298297297297297298298298298298298297298299299299299299299298296299299299298299298300299299299299298298298297298297297297298299300299299299300300300299300299300300300300301301301301300300300300301302301300300300300299300299299301299300300299299299298297298296295297296295295295295296297297296297297297298299299299300299300299301299299300301301300300300298298299299300299298299299300300301302301302302301302303303303303302302302302303302303303303303303304304305305304305305305306305304304304304304304304305304304305306306305304304304305306305305305306306305304307307306306306305306307307305306306306305305305305305305305304304305304304304303303303302303303302302303303303303303303303303302302302302302302301301301301301301301301301301301300300300300299299299299299299299299300300300300300299299299299299298298298298298298297298296297297296296296296297297297296297297297297297297297296297297296296296296297296296296296295295295295295294295294295295294294295294294294294294293293294293293295293293293294292292292293292292293293293293293292293293293293294294294294294295295294294294294294294293293293293294294294295295295295294294294294293293293293293293293293293293294294 301301301300299297297297296296295297297297296297297299298297298299298299299299299300299300300300299299301300299299298298299299298298297298298299999999999999999301302301300301301300300302302301302302303302302302303304303303303302303304303304304304303303304304305305304304304303302303302301301302302302301301302301301301301302301301301302302301300300300300299299299299299300300299299299299299299298298298298297298298298299299299299299298299300300299299300301301300300301301300300300300300301301302302302302302301302302301300300999999999999300300300301302302302301301301302302302302302302302302302300300300301301301299300301301301300301301301303302302302303304304303303303303302301301301301300300302302301301302301302303303303303304303303303302302999999301299999999999999999999999999999999999303304306306305304304304304304303303303301301302301301301301300299301300300300299300299298297297296296296296295295296296295295295296295295295295294295295295295294296296296296296297297297296296297297298296296296296297298298298297297298297298297297297297297298297297298297297298299297297298298298298298298298298299299299299299298298298299299298298297297297297296297297297297297297297297297297298296296296296296297296296297297297297296297297297297298298297297297297297298297298297298299299298299298298298297298298298298299297298298299299298299298298299297297295297297298300297298299300299300300299299300300301300300300300299300300301300301302302301300301301299300301301300300299299299298298299299298297298297296296295295295295297296297297298298298299300299300300299299300300300299301300299300301300298299298299300298298299299299300301301302302301300302302303303303303303303303302303302303302303303303305305305305305304304305304304304304303304304305305305304304305305305304303304305305305306305306305304306306308307306306305307307307306306306307305305305306307304304304304305304304304304304302303304304303303303304303303303303304302302303302302302302302302301302301301301301301301301300300300300300300299299299299298299300300300300300299299299299299299298298298298298298297297297296296296296296297297298297297297297297297297297297297297296296297297297297297296296295295295295295295294295295295295294294294294294293294294294294294294293293293293294293293293293292292293294293293293293293293294294294294294295294295295295296295295294294294294294294294294295296295295294294295294294293293293293292293293293293293294295 302304299300297297297297296296297297297298297298298297298299298298300298298299299300299300300299302300300298299300300299299298297298298299300302300999999999999302302301300301300300300300300301301301302301302303302303303303303302304303304303304304304304305305305305304303303302300302300300300301301301302301300300300301302302301301301301301301299301300300299300299299299300299299299299299299299298298297297297298298299299298298298299299300300299299300300300300300300300299299300298299300301301302301301302302302302302301300999999999999300301300301300301302302302302302302302302302302301302301301300301301300301301301301301301301301301301301302302302302303303304304303303303303302301301301300301301301301301301301302303303302304303303303303302302999999999999999999999999999999999999999999300302305305306305304304305306305303304302302302301301302301300300300299300300300300299300299299298296296296296296296295296296296296296295295295295294294294294294295295295295296296297297297296296297297296296296296296297298297297297297298297297297297297297297297297297298298297298298297297298299298298298298298298298299299298299298298299298297297297297296296296296296296296296296296296296297297297297296297296297296295296296297296297297296297297297297297297297297297297297297297298298298298299298298298298297298298298299298297298297298299297297297297297296297296298298298298298298299299299298300299299300299300299300301301300300300300300301300301301301300299300303303302301301302301299298298298299298297298300297296295296295295298297297298297296299298299301300300300298299300300300302300299298298298299298298299300299298299299299300300301300301302301301302302302303302303302302302302303303303303304304305305305305305305305304304303304304304304305305305305304304305305305305303304305305305305306306305305307307306308306306305305306306306306305307305305305305306305305305305305304304305304303302303303304305304305303303303303303303302302302302302302302302302301302302301301301301300300300300300300300299299299299299299298300300300299300299298298299299299299299298298298296296296297296296296296297297297297297297297297297297297297296296297296296297297296296296296296296296295295295295295295294295295295294293294294294294295294294294295294294294294294293294293293293293294294294293293293294294294294295294295295295295296296296296296295294295295295295295295295296296295295294295295294294294294293293293293293293294295295 303303300302299297298297297297296296297297297298299298298300299300298299300298300300298299298298300301300299299300299300300299299299299301302299999999999301301301301300299299299300300300301301301301301301303303303303303303303302303303303303303304305304305305305305305303302303301301300301301301301301301301301300300301302301301300301302301301301300300301300300300300300300299299299299300299298298298298298298297298299298299297299299299299300300299299299300301300300298298298298298300300300300300300301301301301300301299999999299299300300299300300300301301302302302302302302302302302302301301301300301301300301300301301300300299300301301301302302302302302302303303303303302302302302302300299299300300300999302301301303303303303303302303302302301999999999999999999999999999999999999999301303302305304306305305305306305306304303303302302301300300300301300299299299299299299299300299298297297296296295297296296296295296296296294294294294294294294294294295295294295295296297297296297297296297296296296296296296297297297297296297297297297297297297297297298297298298298298298298298299297299297297297297297298298299298298297297298298298297296297296295296296296296296296296296297296297297297297297296296297297296296296297297297296296297297296297297296296297296297297297296297298298298299299298298298298298297299298297298298298299299299298296298298298297298296296298296296299299299299299299299300299298301301300300301300300301299300301301301299302302300300300301301301300301300299299298298299298298298297298297298299297296296296298299298296298298300301300300299299299300300300300301299299299298299298299298299299298299299300300300301300300301301301301301301302301300302302302302303303303304304304304304304305305305304304305304304304304304304306305305304304305304304303303304304305305305306306307307307306306306306305307306305305306305305305305305305305306305305305304304303304304304303302303303304304304304303303303303303303303302303302302302302302302302301302301301301301300300300300300300300299299299299299298299299299300300300299299298299299299299299298298297297297298297297296296296296296297297297296296297296296297297297296297297297296296296296297297296296296296295295295295295295294295295294294294294295295295294296295294294296295295294294294294293294294294294294294294293294295294295295296295295297296297296296297297296296296296295295295295296295295295294294295294294294294294294294293293293293294294294 302303301300297298298296297297297296297297297298299300300299300300298298300299299298297299298299301299298300300299301300300300299300299300301302301302301300299299298298298299300301300300301301301301301302302302303302304304303303303303303303303304305305304304304304303302302302301300299301301300300300300301300301300301301301301301301302301301300300300300300301301300300299299299299299299299299298298299299301299299299300299299300300299299300300300299300299299299299298298299299298300300300300300300301301301300300299999999999299300300300301300301302302301301301301301302302302301301302301301302302301301301301300301300300299299299300300301301302302303302302303303303302302303302302302301299298300301999999999999302302303304303303302999302302302999999999999999999999999999999999999999304303303303305306305306306306304304304303302303302302301299299299300299299299298298299299299298297296296295295295295296296295296295295294294294294294294294294294294295294294295295295296296297297296296296297296296296296296296297297296296296296297297297298298298298297297297298298298298298298297297298298297298298297298298298297297297298298297296297296298296296296295295295296295296296297297296297297297296296296295296296295297297296296296297297297297297296296296296297297297296297297297298298298299298298297298298298298298298298297298299298298298298298297297297296297298298298298300300299299299300299300299299298300300300299300299300300299299301300299302301301300301302301301301301300300299299299299299297296297298297298298294297296298299298297298298298299299298298300300298299300300301300299299299298298299299298299299298299299299299299300300301301301301301301301300300300302302302303303303304304304305304304304304304304304305304304304304304304304305304305304304305303303304304304304305304305306306306306306306306306307306307305305306306306306306305304305306305305305305304303304305305304302302303303304304305304303303304303304304303303303302302302302302302302302302301301300300300300301300300300300300300300299299299299299299299299299299300300300300299299299298298298297297298297298297297297295296297297296297296296297297297296296297297297297297297297297297296296296296296296295295295295295295295296295295295295295296296297296296295296296296298295295295295295295294295295295295296295295296296296296297296296296298297298298298297297297297296296295296295296296296296295295294295295294294294294294293293293294294294294 999301297295296297296297298297298298298297297298299300299299299300299300300300298299298299299298300299298299299299300300300300299301300300300300300300299299299298298298298299299300300301301302302301302302302302303303303303303302303302303303304304305305305304304303303302301301300299299300300300300300300300301300300301301301301301301301302301301301301300301301301300300299299299299299298298298299299299301300301300300300299299299300299299300300300300300299300300299301300299300299299300300300300300301300300300300299999299299299299299300300300301301301301301301301301302301301301301301300301300301301301301300300300301300300300299300299300300300302303302303302302302302301302301301299299300999999999999999999999999302302303303302999999999999999999999999999999999999999999999999999999999999999303304305305305305305304304302303302302302301301300299299299299299299298297297298297296296296296295295295296296295295295295295294294293293293293293293293294294293294294295295296296295296296296296296296296296296296296296296296296296296296297297298298298297297296297297298299298297297297297296297296297297297297298298298298297298297297297297296296295296296295295295296296296296296297297297297297297296295296296295296296296296297297297297297297297297297295295296297296296297297297298298298298298298298297297299298298299298298299299298297297297298298298297297298298298297297297298301298299300299299300300299299300300299300299299299299299300300300301301301302302301302301301302301300301300299300299299298297298297299299298298297298297297298299300300299299298299298300298298299300299299299298299299299299299298298299298299299299299300300301300301301301301301302301301300300302302303303304303304304304304304304305304304304305304304305304305303303305304304305304305304303304304304304305304306306306306307307307307306306307307306305307307306306306305305305306305305305305303303304303303303302303303303303304304304304304304304304304304303303303302302302302302302302302301301301301301300300300300300300300300300299299300300299299299299299299299300299299299299299298298298297298298298298297297297295295297297296296296295297296296296296296297297297297298297297297297296295296296295295295295296296296296295295296296295296296297297296296297298297297297296296295296295295295295296296296295296297297297296296297296296297298300298299299298297298298297296296296296296296296296295295295295295294294294294294294294294294294295295 999999298296297296297297298298298297297298297298299299300299300301300300300299298298300299299300299299299299298300298301300301302302301301301299298298299299299298299298298298299299300300300300301301301302302302302303303302302303302303304304304304304304304304303303302301302301300299298299299300300301301300300301301301300301301301301301301301300300300300300300300300301300299299299299298298298299298298298300299300300300299298298300300300299300300300300299299301299300299299300300301301300301299300300299299299299298299300300300299299301300301301301301301301301301301301301301301301301301301301301301301300301300299300299300300300300299300300300301302302302302303302302302302300299300298298999999999999999999999999302303303303302999999999999999999999999999999999999999999999999999999999999304303303304304305305305304303303303302302302302301300300299299299299297298298298298297297296296296295296295295295294295295295294293293293293293293293293293293293293293294294295296295295295295296296296296296296296296296296296295296296296296296297297297297296296296297297298298298297296297297297297297296296296297298297297297297298298297297297296296296295295295295295296296296295296297297297297297297297296296296297297296296297297297298297296297297297297296296296296296296296296297298298298298298298297297297298298299298298298299299300298297298297298298298298298297297297298297300300299299299299299300300300300300301300300298297297298300301302301302301301301301301301300301300300301301301299300299297298297298298298298297299299297298298299300300300300299299300299298298298299299299300300298299298298299298298298298298298298299299300299300301300301301302301301301301301301302302302303304304304304303304304305304304303304304304304305305304305305305305305306306304304304304304304304304305304306306307308308308307307307307307306305305307306307307305306306305306306305304305303304304303304303302303303304303304304305304303304304304304303303303302302302302302301301302301301301301301300300300300300299300299299299299299299299299299298299299299299299299299299299298298298298298297297298297297297296296296295296296296296296296296296296296296296297297297297297297297296297297296296296295295296296296295295296296296296297297297299298298298298297297298297296296297296295298298298297298297297297298298297297297297297298299299301300299299297297297298296296297297297297296296296295296296295295295295294294295294295295295295295 999999999295296296297297298298298298298298298299300299300300301301299300300300298299299300298299300298299299297300301301300299302301301301300300300299300299299299299299299298299299300300300300300302300301301302302302302303302303303303304304305304305304304304303303302301300300300300299299299300300300300301301302301300301301301300300300300300300300300300300300299299299299299299298298298298298298298298298297297300300298298298298298300299299299300301301299298299298299300299300299300302300299299301299300300300299299999299299299299300301301300301301301302302302301301301301301301300301301301301300301301301301300300300299299299299300300300300300300301301300301303302302301300300299299298297999999999999999999999999300301303302999999999999999999999999999999999999999999999999999999999999999300301303305304305304305304304303303303302302302301300300300299299298297298299299298297297297296296295295294295295293294294294294293293293293293293293292293293293293294294294296296295295295295295295295295296296295296296296295295296296295295295296297296296296296296297297297297297297296296296296296296296296296297297297297296297297297297297297296296294295296296295295296296295295296296297296297296296297296296296295297296296296296297296296296297297297296296295295296296297296296297297298298298297297296297298299299299299300299298298298298299298297299298298296297297297297297298298299300298298298299300300299300299299300300297299297298299301301302301301300300300300300301300300300299300299299299298298298297299299299299299298300300301302300299300300299300298299297298299299298299300299298298298299297298297297296297297298299298298299299299299299300301301301300302301301301301302302303303303304304304304305305304303304304304304304305304304304304305305305306305305304305304304304304303305304306305307307307307306306305307306306306305306307306306305306306306305305305304304304306304303303303303302302303303303304305305304304304304303303303303302302302302301301301301301301301301301301300300300300300299299299299299298299299299299298299299299299299299299299299299299298298298297297298298298297296296296296296296296296296296297296296296296297297297298297297297297297297297297297296297296297297296296296296297297297297297298299298298298297297299299298299298297297297300299298298298298298298298298298298298298298300300301300299299299298297298296297297297297295296296296297296296296295295295295295295295295295295295295295 999999999296297296297297297298298298299299298299300299299300301300301300299300300299299298299299300300299299299300300300302301302301301301300300301301300300300300300299299299299299299300300300300300301301301301302301301302301302303303304304305304304303303303302302301300300299299299300301301300300300300301301301301300301301301300300300300300299299300300300298299299299299299298299299298298299298298298298298298297300298297297299299298300298299300301301300299297297299300300299299300301300299300299300300300299298298299299299301300301302301301300301302302302302302301301301301302301301301301301301301301301301301301300299300299299300301300301299299300300301301301301300300299298294298296999999999999999999999999999300300999999999999999999999999999999999999999999999999999999999999999999999999300303305305304304305303304304304303303301301300300300299300298298297298298298298297296296295295295295294295295293293294294294293292293293294292292292292292292293295294295295294294294294295294295295296295295296295295296295295296295296295296296296295295296296296297297297296296296296296296296297295296297298296296295295296297296296297296297297297296295295296296295296297296296296297297296296296296296296296296297296297297296297297296296296297297297296295295295296296296296295296297297298297298297298298298299300300300300300298299298297298297298298298298297297297295296297298297298299296298298297299299300299300299300300297298298299300299300300300301299301301300300300300300300300300299299298298298299297297298299298298299301299299300302301300300299298298299298299299299298299300301299298299298297299298297297297297298299300299299300300300299301301302301301302301301302302302302303303304304304304304304304303304304304304304303304304304304305305306306305305305304306305306306304304305305306307306308307307306306307307307306305306306306307306306306306306306305305304305304304304303304303304303303303303303303303304304304304304304303303303303302302302302301301301301301301300300300300300300300300300300299299299298299299299299299299299300300299299298299300300299299297297298298298298297297296296295296295296296295295295295296296296296296297297297297296297297297297297297297297297297297297296297297296297298298298299299299299298298298299300301299299300299298298300300301301299298299299297299299298299299300301301301302300299299298298298297298298297297296296296296297296296296296295296295296296296297297297296296296 999999999296297297297296297298298299299300299300299300301301300301300300300300301300299299299300300299299299299300300301301302301301300300300300301301300300300300300300300300300300300300300301302301301300302301301301302301301302302302303304304304303303303302302301301299300299299300301301301300302303302301301301301301300301301300300299300299300299299299299299299299299298299298299299299299299298298298298298296297299299299299300299299299299299300300300298298297298299298298299300300301301300300300300301300301299298300300301301301301301300300300301302301301302301301302302301302301301301301301301302301300300300300299299298299300300300300299299299299300301301300300298299299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300303304305304305304304304304304303302302301300301300299298299297297296298297297297296296294295294293295296293294294294294294293293293293292293292293293294293294294295295295294294294294295295296296296296296296295296295296296296296296295296296295295295295295296296297296296296296297296296296296295297298297297296296296297297296296296297297296298296296295296296295296296296297297296297297297297297297297297296297297296297296296296296296296297297297296295296296296296296296295296297297298298298298298298299299300300299299298297298298298297297297297297297296297297297296297298297297297299299298298299300299299299299300301300300298298299299299299298300299300300300301300300300300300300300300299300299299298297298298299299299301302299301302301302300299299300299300299299300299300300300299299298299300299297298297298298298298299298299300300300300301302302301302301301302302302302302303303303303303304304304304304304304304304304304304304306306306307306306306305306305307307306306305306308306306306306307306307306307306306307306306305305305306304306306305305306305305304304304305306305305305304304304304304304304304304304304304304304304303303303302302302302301301301301301300300300299299300300299299299299299299299298298299299299299300300299300299299299300299300299298298299298299299298298297297296296296296296296295296295295296296296296297297297297297297297298297297297297297296297296297297297296296297297298298297299299299299299298298299299300303301300300301299301300300301299299299300298299299300301301300301301301301300299299300299299299299299298298297297297297297297296296296296296296296296296296296296296296296 999999999297298299297298298298299299299299299300300300302301300300302301300301300299300300300300299299299300299298301300300301300300301300300301301300301300300300300300301301301301301300301301302301300300301301301301301301301302301302302303302302302302302302302302301300300299299299301300300301302301301301301301301302301301300300300299299299299298298299299300299299299299299298299299299299299298299299299298297297299299299299301297299300300298298298298298298298300300298298299301301301302302301300301300301301999300300301300302302303302301301301301301302301301301300302301301301301301301300300301302300299300300299298299298299300300300300299299299300300300300299300999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302302304304304304304305304303303303303301301300300299299299298297297296297297297295295295295294294294294295293293293294294294294294293293292293293293293294294295294294293294294293294295295295295295295296296296296296296296295296295295295295295295296295295295296297297296295296296296295295295296296296298298296295295296296296296296296296297297298298295295296296296296297297296296297297297297297296297297296296297297296297297297297296296296296296296296296296295295295296296297296296296297298298298297298298300300299299299298297298298298298297297298297297296297295297297296298298297299298298298299298299298297298299299298298298298297299299299299299300299299299299300300300300301300300300299300299300299299300299298298299300300302300303301301300300298300299300300300301300299299299298299299298298298299297298298298299298298299298299300300301301301302302301302302302302303302302302303303303303303303304304305304304304304304304304305304305305306307306306306306306307306306306305305305307305305305306307308308308307305306306305305306305305306306307306305306306305304304303305305305307304304305304304304304304304304304304304304304304303303303303303302302302302301301300301300300300300300300299299299299299299299299299298299299299299299300300299299299299299299299300298299299299297299298298297296297296296296295297296294294294296296296296296297298297298297297298298298298298297297297297296298297296297297297296297296298300300300300301300301299300300301301300301301300302300298300298299300300301301301302302301301301302302300299299300300299299298298298297297298297298298298297296297296297297297296297296296296296296296 999999999299299298297296299300300299300300299299299301301301300300301301301301301301301300301300300298300301299300300300300299299300302301301301300300301301301301301301301301302302302302302302301301301300300300300301301301301301301301302302302302302302303302301301300300299299299300301300301301301301301301301302301301301301300300300299299299299299298299299300299299299299298299299299299299299299299299299299300299299298298299298299299299299298299298298298298301300299298298299301301302302303302302301300300301300302301301302302302304302301301301301302300301300301301301300301301301301302302300300301300299300300299298298300299300299299299299299299300300300301298297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303302303304303304303303304303303303303302301300301300300299299297297297296298296295294295294293294293293294294293294294293293293293293293293293293292293294294294294293293293294293293293293293294294295295295295295295295295295295296295294295294295295295295296296296297295296296296296295295296296297297297297296296296296296296297297297297297296298298296296296295296296296297297296297297297296296297297296297296296297297297297297297297297296297295295296296296295295295296296296296296297297297298298298298299299299300299299299298298297298298296297296297296296296297296297297297297298297298297296298300299299298299299298299299299299299299298299298299299300299299299299299299300300300301300299299301299297298298298298299299300299301300300302302301301299300301300301301301300301300299299298299298299297297298299297298298298298299299299300301301300301302302302302302303302303302303303303303303303303303304303304304304304304304304304304304305305306307306306306305306307307307306306305305305305305305305307307308308308307306305304305305304304304306305305305305305306305304304304304305306304304304304303303303304303304304304304304303304304304302303302302302302301301301301301301300300299300299299299299299299299299299299299299299298299299299299299299299299299298299300298298299298298298297297297296297296296296295295295295295295295296295296296297298297298298298298297298298298298298298297296297297297297297297297297297298299300299300302301301301302300302302302302302300301299301300301301301300301301300303303303302302303302302300300300300300299299299299298298298298298297297297297297296297297297296296296296296296296297 999999999999298298298296298298299299299299299300300301301301300301301302302301301301300298300300299298299299300300301300300299301301301301301301300300302302302302301302302302302301302301301302302301301300301300300300301301301301301301302302303302302303302302301301300300300300300300300301301302301301301302302302301301301301300301300300300300299299299299300300299299299299299299299299299299297299299299297299300299299298297298298297298299298302301300298301300301300299300299299300301301301303303302302301301300300301302302302302301301302303302302301301300301302302302302301301301301300301302300300302300299299299299298299300299299298298298299299298299298298297296999999999999999302301999999999999999999300298299999999999999999999999999999999999999999999999999999999999999999999999999999999999999300302303303303303302303303303302301301301301300300299298298298298297296296294294294295293293293292292293294293294293293293294293293292293293293293292293293293293293293293294293292293293293294294295295295295295295295295295296295295294295294294294295295295296295296296295295295295295295296297297297296296297296296296296296297296296298297297297297298296296296295296296296296296296297297296297297297297297298297297297296297296297296297297295296296296296296295295296297296296296295297297298298297298298299299298299299298298298298297297297297297296297296297296297297297296298299297297299300299298299300299298299299298298298299298299298298299298299299298299299299299299298299300300299300301301299298297299299298300299299299301301301300301301302301301303301300300299300300299301299299298298298298297297300299297298298298299299299299300300300301302302302302301301301302302303303303303303303303302303303303305304304303304304304305305305304305306307307307306305305306306307305306305304305304305305306305306307307307307306305304305305305305305306306306306306304306305304304304304304305304304304304302303304304303303304304304304303303304303303303302302302302302302301301300301300300300300300300300299300300299299299299299299299299299299299299299300299300299299298299298298298299298298297297297296297296297296296296295296297295296296296295297297298299298298298298299298299299299299298298298298297297298298298298298299300300300302301300301301301302302304304302302303303303303302300303301302301301301301302303302303304304302302302301299300299300300299300298299299298297298297297297297297297297297297297296297296297297297 999999999999299298298297297299299299299299300299300301302301301301301302301300301302300300299300299299299300300301300301300299301302302300301301300300301302302302302302302302301301302301302301301301300301301300301301301300301301302302302302302301303302303302301301301301301301300300300301301300301301302301302302301301300300300300299299299299299300300299300301299300299299300300299300300299299299299299298299300299298298297298297297297298299300301301298299298302302300300300301301301301301303303303303302303302301301302302303303302301301301301301300301301302301301301301301301301301301300302300300300299299299299298299299298299298299298299299299299299298299299297999999999999298298297999999298300999999300299299300301302999999999999999999999999999999999999999999999999999999999999999999999999999299301302302302302302302303302301301301301299300298297298299298297297296295294293294293293293293294293294294294293293293293292293293292293294293293293293293293293293293294293293294293293293293293294294294295295295295294295295295294294294294294293294294295295295294295296294294295296296296296296296296296296296296296297296296296297297297298297296296295295295295296296296297297297297297297298298297297298297297297297297297296297296297298297297297296296296296295296296296298296296297296298297298298299298297299298298299298298298297297297296298297298297297297297297297296299297299299299299298299300300299298298298298298297299297297298297299298298298298298300300299300299299300298300299299300300299300300301301300300300300301302303302302301301301302302302301300300300300299299301300299298298300299297299297296297296299299299299300299299300300300302302302301302302302302303303303303303304303303303303304304304304304304304305304304305304304305307307307307306305306306306305305306306306305306306305306307305306306306305305304304304304305304306305304305305306305304303303304304304304304303303303303304304303303303304304304304303303303303303303302302302302302302302301301301301301301300300300300299300299299299299300299299299299300299299299298299299299299299299299298298298298298298298298298297297297297296297298296298296295297296296297297298298299299299299299299299299299301299298299298297298297297298298298298298299300301302302301301301303303304305304305305303303302301301304302303302302302303302303304303304303303303303300301301301300300299300299298299298299298298298297298297298297297297297297296297297297297297 999999999999298298298297299299298297299300299299299301301301302302302303301300300300300300299301300300300301301301302301301301302303301302302302301300301302301302302302302302301301301301301301300300301300300300300301300301301301302302302302302302302302303302301301300301301300300300301300300300300300301302302302301301300300300300299299299299301300300300299299300300300301300300299300300299299298301297301301299299299298298297299299299299300301300299299301299303303303302302302302302303303304303302303303304303302302302302303303301301301301301301301301301301301301301301301301301301301301301300300299299299299299299299298298299299298299299298299299299299297298296999999999299299298297999999298999999999300301301301301300300999999999999999999999999999999999999999999999999999999999999999999999999999302302302302302302301302301301301301300299298299299297298296297295295295294294294293292293293293293294294294294294293293293294293293293294293293293293293292293293292293292293293293293293293294294293294294294294295295295295294294294294294296293294295295295295295294294295295295295296296296296297297297296297297296296296296297297296297297297296296295296295295296296296297298298298297297298298297297298297298297297297297297297298298298297296297298297297297296296296298297297297297297297298298298298298299300297298298298298298297297299299300300299297297297296297298298299299299300300298300300299298299299298299298298298298298297297298299298298298298298299299300300300300300300299299300299299300299299300301301302301301301302302301302302302301302301301301302300300299299301299299299298299299298299298298297296297298299299300300300299299300301301302301300301301302303303303303304303304303303303304304304304304305304305304304304304305306306306306307306305305306305305306306306307307305305305306307307306305306306306306304304304305305306305306304304304304305304303303303304304303303303303303303303303303303303304304304304304303303303303303303302303302302302302302302301301301301300300300300300300300299299299300299299299299299299299299299298298298299299299298298298298298297298299299298298298297297296296296296297296295298296295297297298299300300300300299299299300299300299298299299298299298298297298298299300300301301302302303302304305305305306303304305304304302303303303303304302302301303303302303302303303303303302302301301300300300300300300300299300299299298299299298298298298298298298297297297297297297297 999999999999999298298298298298298298300299299300301300302303301301303302302301300298299300301301300300301301301300302301300302303302301301302301301301301302301301302301301302302301302302302301301300301301300300300300300301301301301301302302302302302302301301301300300300300300300301301302300301301301301302302302301301300299300300300300299300301301300300299301300300299300300300300300300300300299301300301301301300299298297298300300299299299299299298298299302303304304303303303303302303303303304304303304303302302302302303303302302302301301301301301301301301301301302301301301301301301301301301300300299299300300299298299298298299299299298298298300300299300300299999999298298298299298300297298298297999299300301301302300299999999999999999999999999999999999999999999999999999999999999999999999999999301302302302303301301301300301301301300300299298297297298296296295295296295294294293293292293293294293294294293294293293293293293294293293292293293293293293292293293293293293294293294294294293293293293293294294294295295294294294294295294999293294295294295294294294294295295295295296296296297297297297297297297297297297296297297296297298296296296295296296296297296296297298299300298298299299298298297298297298298299298298298297297297297296297298298297296296296297296297297297297298298298299299298299299300298299298298298298298298298298297297299297298297299299297298297302300300299297299299298298298298297298298298298298299298298299299299299298298298298299299299299300301300300300301299300300298297300301301301301302301301302302302302303302302301300299299299299298299300299299299299298299299299298298297297297299300299300300301300299300300301301301301302302303303303303304303302303304303304305304303304304303305305304304304304305306306305305305305305304305306305305307307308306305306305306306307307307307305305305304305304304304304305305304303304304303303303303303304303303303302303303303302303303304303304304303304304303303303303303303303303302302302302302301301301301301300300300300300300299299299299299299299299299299299300299299299298299299299298299299298299298298298297299298298298298297297297297298298298297298297297297298299299300301301300300300299299300300299299299299300299300299299300299300300301302301300303302303303305305305306304305306304303303303303304304302302301302302300301302302303303303303302302302301300300301300299300299299299299299299299299299298298299298298298298297297298297299300 999999999999999298298297297298299299299299300300301301302302301302302301303302299298300299300300301301300299299299300300300300300301300301302301301302301302302301301301302302302302302301301301301301301301301300301301300301301301301301302302302301301301300300300300300300300300301300302301301301300300301301303301300301300299298300301300300299299299298300300301299298298300300300299300300300299300299300299300300301300298298300299299299298299299299297299300301303302303302302302302301301302303305304304304302302301301302302303303302302301301301301301301301302302301301301301301301301301301300300300300299299300300299299300298299299298298297298300300300299297297999999999999297298298298999297298299299299300301301302301300298300999999999999999999999999999999999999999999999999999999999999999999999999300301302302302302301301302302300300300299298298296297296296296295296295295295294294294293293293292293293292293294293293293294294294294293293293293292293293293293293293293294294294294293294294294294294294294294294294294294293293294294294294293294294294294294294294294295295295295296296296297297297297296296296297297296296296296297297297296295296296296297297297297297297298298299298298298299298298298298298298298298299298298298297297297298298297297297296297296297297297297297298297297297298299299299300299299299299298297298298299298298297297298300297297299299297298299300300300300298299297299298298297296297297298296297299298299298299299299299298298298298298298300300300299300299298299299300298300300300300300300301301300301302302301302302301301300299298297298299300300300299299300298298299298299298299298298299299300300301301300299301301301301301302301302302303303303304304303303304303304304304304304304304304304304304304304305305306305305305305305304304305305305306307307306305305304305306307308308306306305304305305303303304304304304304302304303303303303303303303303304303302303302303303303303303303303305303303303303303303303304304303303302302302302302301302301301301301300301300300300300300299300299299299299299299299300299299299299299298299298298298298298298299298299299299299298298297297297298298298298298297297297298298299299300299300300300301300300301300299299300300300301300300300301300301301302302303303302303304305305305305306305303304304304304304304302301302304302300301300302301303302303304304303302302302302301301300301300299299299299299299299299299298299299298298298298298298297297299300 999999999999999298296296297297298299299299299299300301301302302301299299300299299299300301301301301301300299299298299299299300300301301301301301301300301301302301301301302302302302301302301300300301301301301300301301300301301300300301302302301301301301301301300300300300300300300300300302302300300300300300301300301302301302301300300299300300299299299300300301300299299301300299300301300301300300300300299300300300300298298300299298300300300299299297298301301301301303303303302301302303302303304304304304302300300999999303303304304303302301301301301301301301301301301300300300300300300300300300300299300300299299299299300298298298300298297297299299301300297295999999999297297298297298297298298300300301301301302302301301299301999999999999999999999999999999999999999999999293999999999999999999999999300301302302301301301301301300300299298297297296296297297296296295295295294295295294293293294293293293293292293293293294294294293293293293293293293292292292292293292293293293294294294294294294294294294294294294294294294294293293294294294294294294294294294294294294294295296295295295296296296296297297296296297297296296297296297297297297296297297297297298298297298298298298299299298298298298298299299299299299298298298298298298298297297297298297298297296297296297297297298298298297297298298299299299299298300299299299298298298298298301300300298298300299298300297298298300300299300299298299299296298298297297297297297296297296297297298298299299299298298298299298299298298299299300299298300300300301301301300301301302302301301301301302302301301301300300299299298299300301300300300300299298299299299299299298298298299299301300300300299300301301301301302302302302302304304303304303303303304304304304304304303303303304304304305304305303305304304305305305305304304304305306306306305305305304306306307307306307306306305305305304304303303304303303303303303303303303302302303302303304303302301303302303303303303303304304303303303303303303303303303303302303303303302302302302301301301301301301299300300299299300300299299299300299300300300300300299299298299298298298299299300299298298298299298299298298298297297297297298298298297298298298298299298299300301300301301301300300300300300301301301301301301300300301301302302302303302303304305305307307306306306306305305305304304303304304306303303301301301304305304304304304303302303301301301302301301300300300300300300300299300299299299299299299299298299299299298298300 999999999999298299297297297297299299299298299299300300301301302301301301300299300301302302302301301301300300298297298298299300301301301301301301301301300300301301300301301302301302301301301301301301301300300301301301300301301300301301302302301301301301301300299299299300300300300299301301301300300300301300300300301302299302301300299299299300300298300300299299299300298299299299300300300299299299299300301301300300300299299299299298300300300300299300300300300303303303303302301302302303303304305306304304303303302999302303303304304303302301301302302301299301301301301300300300300300300299299299300299301302299299301300300297298297301300297300300301301300295999999999298297297297300298298300300300301303303303303304302302300999999999999999999999999999999999999999999999999295295999999999999999999297300301302301301302301300299299299298297297297297297297296296296295295294295295294294294293293293293293292292292293294294293293293293293293293292292292293293292292293293293293294294294294293294294294294294294294294293294294294294295294294293293294293294294295295295295295296295295295296295295296296296296296296296296297297297297297297296297297297297297297298298297298298298298299298298298298298299299299298299298298298298297297296297297297297296297297297297296296296297298297298297297297298299298298299299298299298298299297297298297298296296297297299298299300299297298298299298299299299298299298299298297299298299297297296296297297297297298297298298297297298298298298297299299298299299301300301299300301301301302301302300301302302300301302301301301301301300299300300301300300300300300299299299299298300299299299298299300300301301300301301302302302302302302303302302302303302303304304304304303304304304303303303305304305305304305304305305305305304306305304304303304305305305305305305305303304304306306307305307305305304304303304303304304303303303303303303303303302302304303303303303302303302303303304303303303304303303303303303303303302302303301302302303302302302302302301301301301301300300300300300300299299299299300300300300300301300299299299300299299299300300300300300299298300299299299299298298298298299298299299298300299298299300299300300299301301303301300299301301301300301300300301300300300301300300301301303300302304304304304304304304305305305305305306303304303303302303304303301302302301302302302303303302302302301301302302301301300300300301301301301301301300299300300299299301300300299299299299 999999999999999999999298298299299298299299299299300301300300300301301300300300301303302301302302301300299299298298297298300299299300300301301301301300300300301300300300300301302301301301301300300300300300300300300300300300300301301301302302301301301301300300300299300300300300300301301301300300300300300301300301301301301302301301301300301301301300300300300301300299300300300300299300300299300300300301302302301301301301302300300299300299300300300300300300302303302302303303303302302303303303304305304303304303302303302303305304304303302302303302303301299300301301300300300300300299299300300299299299300300299298301302300300299300300300299299297299298297296999999999298297296296297298300301301302303305306305307305303301999999999999999999999999999999999999999999999999299999297298999999999999298300301300301301300300300300300298297297298297297297297297296296295295295295294294294294294293293293293293292293292292293293292292294294293293293293292292293293292292293293294293294294294294294294294294294294294294293294293293293294294294294294294293294294294295295295295295295295295295295295295295295296296296297297296297297297297297297297297298298298297296298298297299298298299298299298298298298298298299298298298298298298298297297297297298298297297297297295296296296297298297297297298298299298299299298299298299298298299298298298298299298297297299299297298297298298298299297298297299300299299299298298297297297297297297298297297297297299298298299299297298298299299299298298298297299301300301299300300301301301302301301300301301301301302302302302301301300300300301300301300300299301300300301299300299301301300300299299300301301300301301301301301301302303303302304303302303303303303305304303304304303304304303303303304303305303304304305304304305305305304303303304304305304305305305304304304304304305305306304305303305306305304305304304304303304303303303303303303303303304304303302303303303302303303304303303303304304305304304304303304303302302302302303302302302302301302301301301302301300300300300300300300300299299300300301300300300300301300300300299299299300300300300302300299298300299299299299299299299299300300299299300299299300299299300301300301302302301299299301302301301302302300300300300300300301300301300302300301302303303304304303303305305304305305304303304304302303302303302301301300301301302301302303303302301301301302302301301301301301301301301301301301300300301300300300300301301300300301300 999999999999999999999999300298298298299298298299301300301300301301301300300300302304302302302302301300299298297297297298298298300300300301301300300300300300301300299300301302302301301301301300300300300300300300300300300300300301301301302301301301302301301300300299300301301299300301301300300299300301300301301301301302302303302302302301301301301300300300300301301301300300300300300300300299299299300299303301301302301301301299299300300301300299299300299300301302302300303304301302302304304304304303301999302301300999303304305305304304304303303303303300300300300301300300300300300300300299299299299298299298300298299298300300298299299300300298298298296296296292999999295296296297297299299301301302304305305307306305302301999999999999999999999999999999999999999999999300299999300300999999999297298299301300300301300299300300298298297297297297296296297296295296295295294294295294294294293293293293293293292292292292292293292292293293293293293293293293292292292293293293293293294293294294294294294294294294294294294293293293293292292294294294294294293294295295295295295295295295295295295295296295296296296297297297297297297297297296297298297298299298297298297297298298298298298298298298298299299298298298298298298297298298297297297297297298297297298297297296296297297297298297297298298298298298298298299299299298298298299299298297298300298298299298298298298298298299299299298298298299299299298298298298297298297298297298298298298298298298298298301298297299298298298299299299299299301302301300298299300301301301303302301303302301301300301302302302302301300301301301301301300301301301301300300299299300301300300300300300299301301301301301302301301301302303303303304304304303303304302304304304303305304305304304304303303304303304304304304304304304306304303304304304304304305305305304304303304304304305305305304304305304305305304305304304304304304304304303304304303303304303303303303303303304303303303304304304303304303304304303303303303302302302301302302302302302302302302301301301301301301301301300301300300300300299300300300301300299300300299299300299299299300300300300301301299299300300301300300300300300300300300300300300299299300300300300300301301301301300300300302301301301302301301300301301300300300299299301301301300301304301301303302302303304303302305304303304304303303302302301301301300301301301301302302302302302301302302301301301300301302302301301301302301301301301301300301301302301301301301301 999999999999999999999999999999299301302999298300300301302302301301302301301302303302303302302303301301299298298298297298298299299300301300300300301301301301301301300301301302302302301301301300299300299300300300300300301300301301301301301301302301301302301300300301300301299299300300300300300299301300301301301301301300302303302302301301302301300300300300300301301301300300301301300300299299299300299300301301302302302301301299299299301301299298300300300301301301301302302303305304305305304303303302303999303303999999305304305305304304304303304303302301301300300300301299299299299299299299299298299299299298298298299297297298299301299300299300297294295296296294291293293294294296299297299300301303305306306307305305303301999999999999999999999999999999999999999999299300299299301300298999299298298299300299299300299299299298297297297297296296296295295295294295295294294294294294294293293293293293292292292292293293293293293293293293293293293293293292292292292292293293293293293294293294294294294294294294293294293294293293293293293293293294294294294294295294295295295294295295295295294295295295297296297297297297296296297297297297297297298297298298298298298297298297298298298298298298298298298298298298298298298298298298298298297297298298298298297297298297297297297298297298298299299299298298297296298299299298298299298298297297300299298298298297297297298297297297300298298299298298299299298298299299298298297298298298298298298298298298298298299299299299299299299300299298298299300301298298298301300301301300301302302302302301301301301301302302302301301301301300301301301301301302302302300300300300302301301301301300300301301301301301301302301302302302302303303303304305304304304304304304304304305305305305304304304304304304303304303303304304304999999304305302303305305305304304304304304304305304305305305306305305305305305304305306305304303304303303304304304303304304304304304304303304304303303304305303303304304304304303303305303303302303303302302302302302302302302302301302301301301302301301301300300300300300300300300300300300300300299300300300299299299300300300301301299299301301300301300300300301301301301300301300299299300301301300301302301301301301301301301302302302301301302301301302301301300300299299300301301302302302303304303302304304304304305302303304305302303302302300301301301301302302302302302303302302302303303302301302302301302302302302302302302302302302302302302302303302302302302303 999999999999999999999999999999999999999999999999299300302302300302301301302303302302303302302302301300299298298298297298298299299299299299300300300300301301301301301301302302301301301301300300300299300300301300300300300301301302301302302301302301302302301301301301301301300300300300300300301301302300301301301301302302302302301301302302302301301302302302301302302301301301301301301300300300299301300300302301300300301301302301300300299300300300300301300299302302299302304303306306306304304303303299999999304304999999304305306305306305304303302303303301301300301300300299300300300299299299299298299299298298298299298300301300301300299298297294293293295295294291291291292291294295299297299300301304305306307306305303303299999999999999999999999999999999999999999999298299299299300301300999298298298299300300299300300300300298298297297297296296295295295295295295295294293293294293293293293293293293293292293292293293293293293293293293293293293293293292292292292292292292293293293293293294293294294293294294293293293293292293292293293293293294294295294294294295295295294294294295295295295295296295296296296295296296296296297297297297297298298297297297297298297298297297298298298298297298298298299298298298298298298298298298298299298298298298297298298297296297297297298297296298298298298298298297297297297298299298298298298298298298296296299298297298298298297297297297298297298298299299298297298298299298299298298298299298298298298297299298299299299298300298300299298299298299299299298299300299300300300301301300300300300301301301301300301301301302302302302302301300302301301301302302301301301301300300301302301301302301300301300301301301301302301301301303303303303303303303304304304304306304303303305305304305305304304305304303304304304305304305303303303303304304304306305305305304303304304304304304304305304306304307306305305304306304305304304304304305304304303304304304304303304304303303303303303304304304303304304304304303303304303303303303302302304303303302302302303303302302301302301302301301301301300300300300300300300300301300300300300300300300299299299300300301301301300301301301301301302301302302302302302301301301301301301301301301301302301301301302301300302303303303302302302302302301301300301299300299299301302301301301302303304303304304305305305304303303303301302302301301300300301301301302302301302303301302302302303303303302302302303303303302302302302302302302302302302302302302302302302302 999999999999999999999999999999999999999999999999999300301302302301301302302302302302303302301302301300299298297297297298298298298298299299300300300300300301301301301301301301301301301301300300299300299299300299300300300301300301301301301301302301301299300301302302301301300300301300300301301301301302299301301301302302301302302303303303303301302301301302302302300302302300299300299301300299299300301301302301301302301302300301301300299301300300300300301301302302303304304303304305306306306304304304999999305999999999999303301304305305305305304303301302302302301302301300300301300300300299299299300299299300299299300301302301301300295297295294292292292292292999999999288292294296296298300301302304305307306306303303302301999999999999999999999999999999999999999999296298298299300302300999298299299300299301300300300300299299298298297297296296295295294294295294294293294293293293293292293293293293292293293293293293293293293293294294294294294294293293292293293292292292293293293293294294294294294294294294294294293293293292293294293293294294294294294294295295295295294295295294295295295296295296296297297296296296297297297297297297298298298297297297298297299298298298298298298298298298298298299298298298298298298298299299298298299298298299298298298298297297297297297297297298298297297298298298298297299298299299299298298298298297296296298299296298298298298297298297298298299299300298299299298299299298300300298298298299299298298298299299300300300299300299300299299299299299298298298298299300300300300301301300300300300300301300301301302301302303303303303303302303302302302302302302302301302301301301302301301302301302301301301301301301302301302301302302303303303303303304305305305304305304304305305306305306306305305303305304305304305304305304303304304303303305305304305306305304304303305305305305305305306304306307305306307306307306307306305304304305305304304304305305305304304304304304304304304303305305305304304305304304304304304303303303303303303303302303303303303302302302302302302302302302302301301301301301301300300300300300300300300299299299300300300300300301301300302301302301302301302302302302301301302302302301302301301301301302302301302301301301301301302301303303300301301301301301301300300300300300301300300301301301303302303304303304303303304303302302302301302302301300300301301301301301302302302302302302303303303303303303303302303303302302303302303303303303302302302303302302303303303303 301999999999999999999999999999999999999999999999999301300301303302301302302302302303303302301301302300298298297297297297298298298299299300300300300300300301301301301301301301301301301300300299300300300300300300300300301301300301299300300302302300301302301301301301301301300300300301300301301301301300301300301302302302301303302302302303302302302301301302302302302301301301299301301301301300299300300301301301300301301301301301300299299300300300300299300300301302303303304305304305304305306304303999999999999999999999999999999303304305306306304302301302302301302302300300300300300299299299299298299300300300299300300300300298300295293295295295293293291290289999999999292294296296297301301301302303303304305304305303304300297999999999999999999999999999999999999999999297301300300301299999297298299300299299301300300301299299297298297296296296296294295294294294294293294294294293292292293293292293292292293293294293292293293293294293294294294293294293293293293293293292293293293294294293292293294294294294294294294293293293294294294294293294294294294295295295296295295295295295296296296296296296296297295296297297297297297296297298298298298298297298298298298298298298298299298298298298298298298298298298298298298298298298299299299299299300299298298298298297297296296297298299298298297298298297297298298299299299299299299297297296294298298298298298299298298298299298299298299299300301299300301300299299300300299299299299300299299299300299299300301300300300299299299300299299299300298300299299301300301300301300300300301301301302300302300302303303303303303303303302303302302301302302302301301301301301302302302302300302302303302302302301301302302301302303302302303303304304304304305306306303304304305305305305305305304304305305304304305305304304303304304305304304306306305305305305305304304305305305305305306306306306305305305306305305306304305304304305304305304305305305304304304304304304304304303303304304304304304304305304304304304304303303303303303303303303303303302302302302302302302302302302301301301301301301301300300300300300300300300299299299300300300300300301301300302302302302303302302302302302302302302302302302302302302301301301302302302301300301301301301301301302301302301301301301300300300300300300301301301301301301303303303304303303303303302302302302301302302301301301300301301301301302302302301302302302302302303303302303303304303303303302303302303303303303304303302303302303303303304304 301999999999999999999999999999999999999999999999999999301300300302302302302302302302302301302302302300299298297297298298298298299299299299300300300301300300301301301301301301301301300300300300300300299300300299300300301301300301300300300301301300301302302300302301300300300300300301302301301302302303302301303302302302303303302302302302302301302302302302301302301301301301302300302300301300300300300301300300300301302302301300299298301300300299299299300300301303303303306305306305306305305304303999999999999999999999999999999999999306307306305304303303302302301301301300301300300299299299299298298299300300299300300297296296295294295294297297292292291290290999999292292297296297300298300301302302302304304304304304304302999999999999999999999999999999999999999999999999298299300299298999298299300300299300300300300300299298299298298296296295294294294294294294294294293293293293292292292292292292292292293293293294293294293293293294294294293293293293293293292292293292293293293293293293293293294294293293293293293293293294294294294294294294294295295294295295295295296295296296296296296296295295296296296296296296296297296297297297297297297297297297297298298298298298298298298297298298298298298298298298298298298298298299299299299298299298299298298298297297296295294297297299298296294297296296298296297299295295299299297297297297295298299298298298299298299299298298297300301298300300299300300298299298299299298299299300300299299299299299298300300301300300300300300300299300300299299300299299300300300300300300300300300301301301301302300301302302302302302303302301301302302302302301301302301301302302302302302302302302302302302302302302302302302302303302301301302302303304304304303305304303304304303304303305304303305304305304305305305305303303304304305305306304306305304305304304305304305304304305305305306306306307306307307306306306305305305305305304306304304305306304305304303303304304304304303303304304303303304304304304306305304303304303302303303302303304304303303302302302302302301302302302301301301301301301301300300300300300299300299299299299300299300300300300301300301301302302303303302302302302303302303302302302302302302302302301301302302301300301301302302302302302301302302301301301300300301300300300301300300301301302301301302302302302302302302302302302301304302301301301300301302301303302303302302302303303302302303303304304303304303304303303303303303303303304305303303303303304304304304304 301999999999999999999999999999999999999999999999999999999301301303303302302302302302302302302302301301299297298297298298298298299299299300300300300301300301301301301301301301301300300300300300300300301300299299299301301301301301300300300300300300300301301301302301301300300300300301302302302303302302301302302302302302302303302302302301302301303302302302301301301301300300302302300300301300300299301301300300300301300301299298299299300300300299300300301301303303303305305305305306305306305999999999999999999999999999999999999999999305305305305305304304304302302302301301301300300299299299299298298299301300300301299296294294296294292294295295293294290290292290290293294296297295299298299299300302303304304304306304303301297999999999999999999999999999999999999999999999297300299298298297297297298299299299300300300299299298298298297296295295294294294294294294293293293293293293293292292292292292293293293293293294294294293293294294294293294293293293293293293293293293292293293294293293293293293293293293293293294293293293294294294294294294295295295295295296296295295295295295295295295296295296296296296296296296296297297296297297297297297297297297297298298298298298298299298298298298298298298298298298298298298298298299299299299298299299299298298298299298297297297298298298298297297299298298298298298296298298298297297299298296296298298299299299299299300299299299299298298298298299299300299299299299299299299299298299299299299300299300299300300300300301300300300301300300300300299300299300300300300300300300300300301301301300301301301302302302301302303302302301301302302302302302302301302302301301301302301302302301302302302302302302303302302303303303302302302302303303303303303303303302301303303303303304304302302303304304304304304303303303304304304306306305303306303302304303304306306304304305305305306306307306306305306307306305306306305305305304305304304304305305304303304303304304303303303303304303303304303303304305305305303304303303303304303303303304304304303303302302302301301301302302301301301301301301301301300300300300300300300300300300300300300299300300301301302302302302303303302302303303303303303303303302302302302302302301301302302302301301301301302302302302302301301301301300300300300300299300299300301301301301301301301301301301301303302302301302302302301301301301301301301302302303303303302302302303302303302303303304303304304304303303303304304304304305304304304303304305305305305305 302302999999999999999999999999999999999999999999999999999999303303303303303304303303303303303302302301299298298297298298298299299299299299299300300300300301301300300300300300300300300300300300300300299300299300300300301301301301300300300300300301301301301301300300300301300301300300301302302303303302302301303302302302302302303302302301301302302302302301301301301301302302302301301300299299300300300301300300300300301300299301299299298298299299300302302305305304304305305307306306305305999999999999999999999999999999999999999999999305307307306306306305305303303301301300301300299299299299299298299299299299299299297296293294292293291292290292295291292290289290292293295296296299299297296299300301302303304303305304301302297297999999999999999999999999999999999999999999999298299298297296297297299299300299299299299299299297297297296296295295295294294294294294293293293293293293293293292292292293293293293293293294294294293293294294294294294293293293294292293293293292292292293293293293293293293293293293293293293293293294294293293294294294294295295295295295295295296295295295295295296295296296296296296296296296296296296296297297297298298298298298298298298298298298298298298298298298298298298298298298298298298298298299298298298298299299298298298298298298297297297297297297298296294297298298297297297297298297297298299298298297296298298299299300299299299298299299298298298298298299299299300299299299300300299299299299299299299299299299300300300300300300300299300299299300300299299300300300300300300300299300300300300300300300301301301301301301302303302302302302302302302301301302302301301302302301302302302302302302302302302302302302302304302303303303303303302302303303303302303302302303304302304302302303303302303303303303304305304303303304305305305305305306305304305304305304303305304304305305305305306306306306305306306307306305306307306306305305306305305304304304304303303304303303304304304304303303303303302302303303304303303303303303303303304303303304303304303303303302302302302302302301301301301301302301301300300300300300300300300300300300300301301300300300301302302302302302303303303303303303303302303303303303303302302302302302302302302301301301301302301301301301300301300300300300300300300300300300300300301300301300300301301301302301302301302301301302302302300301301302300302301302302303302302302303302303303303303304303304305304305305304304303304304304305305306305305304304305305305305305 302302302999999999999999999999999999999999999999999999999999999999999304304305305304303303303303302302299299298298299298299298299298299300300300299301301301300300300300300300300301300301301300300300300300301300300300300301301300300300300300301301301301302302301301301301302301301301302302302302301302303302302302302302302302302303302302302302302302301302301301301301302303303301300300300301300300301301301302301301302300300299299299300301300300301302304304305304305305306307306306304305999999999999999999999999999999999999999999304307308307306307306305305303302301301301299300300299299299299298299300299299299297296294294293290290288290290291294291291289287290294295296296296297298298300300300300300301304303303303301302297298297999999999999999999999999999999999999999999296298297298297296298299299300299298299298299298297297296296296295295294294294294294294293293293293293293293293293293293292292293293293293294293293293292293293294293293293293294293293293293293292292292292293293293293292293291292293293293293293293294294293294294294294295295295295295295295295295295295295295296296296296296296296296296296296296296296296297298297298298298298298298297298297298298298298298298298298298298298298298298298298298299298298298299298297298299297297297298299297297296297297297297297297296296296298297297296298298297298298298297297299298298298298299300299299298299299299299300299298298298298299299299299299299299300299299299299299299299299298299300300300300300300299299299300300300299300300300300300299300301300299300300300300300301300300300301301302301301302302302302303302302302302302301301301301301301302302303302302302303302302302302303303303303305304304303303302302303302303303302303303303303303303303302303303303304303304303304305304303304305304304305306305304304303302304303304304304304304304304305305306306306306306306306307307306307305305306306305305306306305304304304304304303303304304304304304304303304304303304302303303304304304303303303303303303303303303304303303303303303303302303302302302302302301301301301300300300300300300300300300300300301301300300300301302302302301302303303303303303303304303303303303303303303303302302303303302303303303302302302302301301301301300301301300300300301299300300300300301300301301301300301302301301302301301302302301301303301302301302300302302302303303302302302303302303303302303303303303305305305304304304304304304304304305304305305306305305306306306305306305 302302302999999999999999999999999999999999999999999999999999999999999999304305305305304303303303303302302300298298299299299298298299299299300300300300300301301301300300301300300300300301300300300300299301301300300301301300300300300300301301301302302301302301301302302301302303302303302302302302301303302301300302302301302302301302302301301301302301302302302301301302302303303303301300301300300300301301301303301300300300301299298299299300299300302303304306306305306306306307306304304999999999999999999999999999999999999999999999304306306305306306306306305303302302302301300300300299298299299299299300299297296295296293294293291289999295290291289290289290289292295296298299300298297299301302300300301302303304303304301302300299297295296999999999999999999295296999999999999296295296295295296298299299299299298299299298297297296296296295294294294294293293293293293292293294293293292293293294293292292292293293293293293293293293293293293293293293293293293293293293293292293292292292293293292291292292293293293293294294294294294294294294294294294295295295295295295295295296295296296296296296295296296297296296296296296297297297297297297297298298298298298297297297297298298298298298298298298298299299299298298299298298298298298299298297298298297298298297297297297297296297297297296296298298297298299297297298298298297297297298298297297298297298299299299298298299299300299299299298298299299299299299299299299298299299298299299298299299298298299300299299299300300299300300298298300300300300300300300299300300300299299300300300300300300301300301302301302301302302302302302302302302302302301301301301301301301301302302302302302302302302302302302302306303303302303302302302302302303302302302302304303302302302302303303303303303303304304305303303304304305305304303303302302302303303304302304303305304303304305305306307307306307307306306308306306306305305305305306306306305302303303304304303304305304304304304304304304303303303303303304304303303303303303304303303304303303303303303303303303303303302302302302302302301301301301301301301301301301301301301301301301301301301301302302302302301302303303303302303303304303303303303303303303303303303303303302303302303302302303302301300301301302301302302300300300300300301301301301301300300301301302300301300301302302302300301300302301302303303302302302302302303303303303303303303303303303303305304305305305305305305305305304305305305304305305306306306306307306307306307 302302302302999999999999999999999999999999999999999999999999999999999999305305305304304304304303303301300298298298299299299299298299300300300300300300300301301301300300301300300299299299300300301301301302301301301302301301301301301301302302302302302302303303303303302302303303301302302302302303301302302303302302302302301301301301302301302302302301302301302302302302302302302303302302301301300300302301301301301301302300301300298299300301301304305305306306306304305305307305305303304999999999999999999999999999999999999999999999999305304999307305306306305304302303301300300300298298298298298299298299295292293293294293293293291999999999999999291290291292294296298297298298299298299299301299300301303302304301304302301300299300299299297295294999999999999294296999999999999296297296295295298299299299300299299298299298297297296296295295294294294294294294293293293293292292292293292293293292292292292292292293293293293293293293293293293293293293293293293293293292293293293292292292293292292291293293293293294294293294294294294294295294295295295295295295294294296295295296296296296296296296295295295296296296296296296296296297296297297297298298297297298298297297298298297298298298298298298298298298298298298298298298299299299299298298298298297297297298297297296297298297298297296296296298297299298297297298297297298298297298296298298297295296299299298298298299300299298299299299299298298298299299299299299298299298298299299298298299299299299300299299299300301300300300299300300300300299300299300300300301300300300300300300300300301301301301301302301302301301302302302302302302302302301301302301301301301301302301302301302302303302302302302302304303303302302302302302301301301303303302303303302302302302302302303304304305305304304303303304305304304304304305304303303303303304303303304304304304304304305305306307306306307307306307306306305306305306306306306305305305305303303304303303304305304305304304304304304304304304304304303303303303303303303304304304304303303303304304303303303303303303303303303302302302302302301301301301301301301301301301301301301302301302302301302302301302302303303303302303303303303303302303303303304304304304303304304303303303303303303303303303302302302302303302302301300301301301301301302302301301301300303302303303303305304302301302301301301300302303302303303303302303303303303304302304304304304304304305305305305305305304306305305305305305306305305306306306306306306306305306 303303303303999999999999999999999999999999999999999999999999999999999999999304304303304304303303302302299299298298298298298298298299299299300300300300299300301301300300300300299299299299299299299300301301300301301301301301301300301301302300302303303302302303303303302301302302303301301303303303302302302301302301301302301301301300301301302302301301302301302301302301302303303303302302302302301302302302305301301301300302299299300299301304302304306304305306305305305306306305305304999999999999999999999999999999999999999999999999999999999999999305305304305304303301301301302300300299299298299298296295294293293293293293292292289287287286288289292294295295296297297296298298298299299299300300301301301302304302302302301300300299300299297296296295293294293294999999999999295297297294294296297298299300300299298299298297297296296295295295294294294294294294294293293293292292293293293293293292292293292292292292293293292292293292293293293293293293293293293293292293293293293292292292292292292292292293293293293294293293294294294294294295294295295295295295295294296296295296296297296296296296296296296296296296296295296296296297297297297297298297297297298297297297298297297298298298298298298298298298298298298298298298299298298298298298298298298298298297297298298298298297297297297297296297298297297297297298298298298297297298297296299298299298298299299298300299299299298300299298299298299298298298299299299299299299298299299298299299299299299299299299299299299300300300300300301300299299300299299300300300299299300300300300301300300300301301301301300301301302302302302302302302302302301300301301300301301300301301301301302302301302302302301303304303303302302301301301302301302303302302302303302302303304302303302304302303305303303303303305305305304304304303303303304304304304304304304305304304304305305305307307306307307307307307306306305306306307306306306306306305305305303304303304304304304305305305304304303304304304304304304303303302302303303304304304304304304304304303304304304303303304304304303303303303302302302302302301301301301301301301301301301301301302302301301301302302303302302302302303303303303303303303303303303303303303303304304303304303303303303303303302302302301301302302301301300301301301301301300301301302301300302303302303303304303303302302302302302300302303303303303303303303303304304303303304304304305304305304305305305305305305306305305305304305305305306306307306306306306306306305 303303303303999999999999999999999999999999999999999999999999999999999999999999304302303303302302302301299299298298298298298298299299299299299300300300299299299300300299299299299299299299299299300300300300300300300300301301300301301301302303302303302302303303303303303303301302302302302302303303303303302303302302302301303303302300300301301302301302301300300302302301302302302302303302302302302302303303303303302302301300300300300299301303303303305304305305305304305305305307306999999999999999999999999999999999999999999999999999999999999304305309999999305302303302304302301300299299298297296296295294294293293291292292292291288285289289289293295295297296295295295295295296296297297298299300300300301301301303304302301300299300299300300298298296295295294295999999999293295295296296294297298299300300300299300299298297297296296296296295294295294294294294293294292293292293293292292292292292292292291291292292292292292292292292293292293293293293293293293293293293293293293293293292292292292293293293293293294294294294294294294294295295295296295296295296295295297296296297296297297296296296296296296296296296296296297297296296297297297297298297297298297298297297297298298298298298298298298298299298298298298298298298298298298298298298298298298298298298298297298298296298297297297297298297297297298298297297296298299298297299297298297297297299299299299299299299300299300300300300299299299299299299299299299300298299299299300299299299300300300299299299299300300300300300300300302299299300301300299300300299299300301299300300300301300301300301301300301300301301302302301302303303302302301301301301300300300302301302301301302301301301301303301302302302302302303302302302302301302302302302303302302303302303302302303302302302304304304304304305304304304303304303303302303304304304304304303304303304305303302305306305306307306306306307306306306305305305305305304303304305305305303304304303303304303303304304304303302303304303304303303303303304302303304303303304303304305304304304304304303303303303303304303303303303303303302302301301301301301301301301301301301301301301302302302301302302302302302302303303302302302302303303303303303303303303303304303303303304303303304303303303302301301301302303302302301301301301300300301301301302302301301302302302303304304303302303302303303302303303303303303304304304304304304303304304304305305305305304304305305305305305305306305304305306306306306307306307306307305306306306 303303303302999999999999999999999999999999999999999999999999999999999999999999999303302302302302302300298298298298298298298299299299299300300300300300300300299299300299299299299299299299299300299299299300301301301300301302301301302301302303303303302302302303303303302302303302301302303302303303303303303304303303302303303303303302301302302302301302301299299301302300303303301301302303303302301302305304303304303302301300300301301302302303304304305306305305305305305304306307306999999999999999999999999999999999999999999999999999999999999999999999999999999999300302305304302302301299298298296296294292292292291291291291291289287288290292293294295294296297296296294295295295296297295296297298299300300301300300301302303301299299299299299298299297297296295296296999293294294295295295296297299299299299298299299298297297297296296295295295294294294294293293293293293293292292291292291291291291291291291291292291291291292291292292292293292292292293293292292292292292293292292292293292292292292293293293293293294294293293293293293295294295295295295296295296295295296296296297296296295296296296296296295295296296296297296297296296296296297297297297297297298297297297297297297297297297298298298298298298298298297297297297297297297297298298298297297297297298297296297298297296296295296296298297297297297297298298298298298299297297299297300297298299299298298299300301298299300300299299298298299298298299299300299299298297299299299300298299299299299300299299299300300299299299299299300299300299299299300299299299299299299298299299300299300300299299301299300300300300301301302302302302301301301301300301301301300301301301301301302301300301301301301301301301302302302301302301301302302302302301301302302302303303302302302302302302302302302302303304303303303303303303302302302303303303303303304305303305304303304304306306306306305305305306307306306305305305305304305305305305305305305305305304303303303303304303304303302303303303303303303304303303304303304303304303303304304304304304304303304303304304304304304304304303304303303303302302302301301302301301301301301301302302302302303302302302303302302302303303302302302302303303303303303303303304303304303304304303303304304303304302302302302302303303302302303302301303301301302302302303303302302302303303303304304303303303302303303303303304303304304304304304304303303303303304305305305305304304305304305305306304304305305305306307307307306307307307306305306306305305 301302302302999999999999999999999999999999999999999999999999999999999999999999999999999302302302301300297297297298297297298298300300300300300300300300300300299299299298298298298299299299299299299299299300301301300300300301302301301301302302302302302303303302302303302302302303303303303303303303303303303303304304303303304303302303302302302302301301300299298301301301302301300301302302302303302302304304303303305303302302301301301302303303303304305305305303304304303304305305999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301303303302300300300299298297294294293292292291291289290290288288288293294296296296296296297296295295295295296296296297296297299300301300300300300301302302300301300299300299299299298296296296297296293294293295295295296297297299299298298298298298298297297296296296295295294294294294294293293293293292292292292291291291291290291291291291291291291291291291291292292292292292292292292293292293292293292293292292293293293292292293293292293293293294294293294293293294294294296295295295295295295295295296296296296297296295296296295296296296296296296297297297296297296296296296297297297297297297297297297297297297297298298297297298298298298297297297297297297297297297297297298297297298298297297297297297297297297296296295297297297297297297297298298298298297298298297298298298298298300300299299300300299298300299301299299298299299299297299299299300299298299297299299299300299299299299299300300300300299299299299299299299299300299299299299298299298298299299299298299299299299299299299300300300300299300300301301301301301301302302301300301300300300300300300300301301301300301301301301300301301301302301302301301301301301301301301302302301301302301302302302303302302303303302303303303302304303303303303302302303302302303302303302304304303304304305305306306305305305306306305305306305305305305305305305305304305305305305304305304303304304303303303304303303302303303303305303304303304304303303303303304304304304304304304303304304304304303304304304304304304303304303303303303303302301301301302301302301301302302302302303303302303303302302303302302303303303303303303303303302303302303303303303304304303304304304304304303303303302303303303303303303302303302302302302302302303302302303303303304305304303303303303302303304304304303303304304304304304304304304305304304305305305304304304305305306306306305304305305306306307307307307306306307307306305306307306 301303999303999999999999999999999999999999999999999999999999999999999999999999999999999999303302302300298298297298298298299298300300300300300300300300300299299299298298298298298298299299299299300300300300301300300300300301302302302301303302302302301303303303303303302302302303302303303302303303303303303303303303304303303304302302303302303301300301300300300300299299300301301301301302302303302304303302302302302302301301301302301303302303304303304304303305304304999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299300298299299299299297295295293293291290289288289287287292292296296296297297297295297296296296296296297296296297297297297299300301301300299301300301302302302301300299299299298297297297296296294295293294295296296297297298298299298298298297298297296296296295295295295294294293293294293293292292291291292291291291291291290291291291290291291291291291291292291292292292292291292292292293292292293292292292293293293293292292292292293293293294294294293294294293294292296296296296295296295295296295296296296296296296295296296295296296296296296296296297297297297297297296296297297297297297297297297298297298298297297298297298297297297297297297297297297297297297297297297297297297296297297296297297298297297296297296297298297297297298297298299298297298298297297298299298298299299300299298299300299298299299300300298299299298299298297298299299298299298297299299299299299298299299300300300300300300299300299299299300300299300299299299298298299298298298298299299299299299299299300300300299298299300300301301301301301301301301300300300301300300300301301301300301301300301301301301301301301301301301302301301302301302301300301301301301302301301301301302302302302302302302303302303301302303303302303302302301302302302303302303303303304302303304305305305305305304305305305305305305304304306306305305304305304304305305305304304303304302302302302303302303303302302303304303303303302302303302303303303304304304304304304304304304303304303304303304304304304303303304302302302303301302302302303302302302302302302302302303303302303303303303303303302303303303303303303303303303303303303303303303303303304304304304304304304303303303303303303303303303302303302302302303303303303304303304304303304305304304304304304304303304305304304303304304304304304304304304304304304305305304304304305304304305306306306305306306306306306306307307307307307307306306305306306 302304999303999999999999999999999999999999999999999999999999999999999999999999999999999999999302302301298297298298298298298299299300300300300301300300300299299298298298298297298298300300299300301300300301300301300300301301301302302302302301302302301302302302303303302303304302303303302302302303303303304304304303304304304303302301302303302302302301300300301300299299299300300301302302304304304303303304303302301301301301302303302304304303304304305305305304305304999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296299298299299295295293291291290288288289287292293294296295296296295295296296296296296296297297297297297296295296296297300300299299300300301302301301301300299298298297296296297296294293293294296296297297297297297297298298297298298297297297296296295295294294294294294293293292292292291291291290291290290291291290291291291291291291291291291291291291291291291291291291291292292292292292292292291292292293293292292292292293293293294293293294294295294294294295295295295296295296295295295296296296295295296296296296296296296296296296296296296296297296297297297296297297297297297297297297297298296298297297298298298297297297297297297297297297297297297297297296297297297297297297297297297296296296297297296297297297297296296297297298298298297297297297297297297297299299299297298298299298298298298298298298298298298299299298298298297298299298298298299299299299299299300300300300300299300300300299299299299299299299299298298298298298299298298298299298298299298300299300299299300300299300300300301301301301301301300300300301301300300300300300302300300300300300300301301301301301301300301302301301301301302301301300300301301301301300301300301302301301302302302302302302302302303304303302302302301302302303303301302302302303303303303303304305306305304305305305306305306305304305305305304305305304304304304303304304304303303302301302303303302303303302303303303303303302303302302303302303304303304304304304304304304303304304304304304304304304304304304304303303302302302302302302302302303302303301302302302302303303303302303303303302303302303303303303303303303303303303304302303304304304304304304304304304303303303303303304303303303303303303303303303303303304304304304305305304305304305305304304304304305305305305305304305305305304305305305304304304306305306306306305305306306306306307306306307307307307306307306307307307307307306306307307 304303304303999999999999999999999999999999999999999999999999999999999999999999999999999999999999301301297297298298297298298299299300300300300301300300300299298298298298298298298298299300300300301301300301300301300300301301302302302301302301301301301302303302303302303303303302304303303303304304304305304303303304303303304304303302301300302302302302301301300300301300300300300300304304304304304303303303303302302303302303304304304305305306307305306306306305307308999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294297299299299295293293292999290288288287288293292293294295297295296296296296296296297297297297297297297297297296296298298299299299300300301300300300300300298298297297297296296296294295295295296297297298298298297297298297298298297297297296296296295295295294294293293293293292292292291290290290290290290290291291291291291290291291291292292292291292291291292292291291291292292292292292292292292292292292293293292292293293293294294292293293294294295295295295295295296296296295296295295295296296296296296295296295295296296296296296296296296296297297297297297297297297297297297297297297298297297297298297298298297297298297297297297297297297297297298298297297297297297297297297296297298298297297297296297298297297297296296297297297297297298297298297298298298298298298298299299299299298298298298297299300299298298297298300300299299298299299298298299299299298299299300300300300300300300300300300300300300299299299299299299299299299299299299300300299299298298298299299299299300299298299300300300300300301301301301301300300300300300300300300299299300300300300301301301301301301301300301301301301301302299300301301301301302300300301301301300301301301301302302302302302301301303303303304304303303301302301303302302301303303303303303304304305306304304305305305305305305305304305304304304304304304304304305303303303303303302301302304303303302302301302302303302303302301302301303304304303303304304305305304304304304304305304304305305304304304304304304304304303303303302302302302303303303303303303303302303303303303303304303304303304303304304304304304304304304304303304304304304304304304304304305305304304304303303304303303303303303303303304304304304304303304305304305305304304304305305305305305304304305305305305304304304304304304304304305305305305306306306306306306306306306305306306306306306306306306306306307307306306306306306306306306 304303303303999999999999999999999999999999999999999999999999999999999999999999999999999999999999300300297297297297297297297298298299300300301300300300299299298298298297298297298298298299300300300300300300300300300300300301301302302301302301301301301301302301302301303303303302303303302302303304303304304304304304304305304304303302301302302301301301300301300301301299299299300301301303302303303303303302302302303303303304303303304306307306305306306306305307307309311309999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295298299298296294292999292291292292294292293294294294295296296296296296297297297297296297297296297297297297297298298299297299299299300300300300300300300299299298297297298298296296295296296297296297297298298297297297298297297297297297297296296296295295294294294293293293292292291291291291291290290290290290291291291291292291291291291292292292292291291292291292291291292292293292292292292292292293292292293293293292293293294294293293293294294295295295295295295296296296295296295296296296296296296296296297296297296297296296296296296296296296297297297297297297297297297297297297297297297297297297297298298298298297298298297297297297297297297297297297297297297297297297297297297297297298298297297297297298298297297297297297298298298298298298297299299299298299298298299298298297298297298298299299300299300299299298298299299300299299300300299298298299299299299300301301300300301301300300302300300300299299299299300299299299299298298299299299300300300299300299300299298299299299300299299300300300301301301301301300300300300301300300300300300300301300301300300301301301301301301301301301301302302302301301301300301301301301300301301301302302300301301301302302303302301300302303304303304303304300300301302303303302302302303302302303303305304305305305305305305305304304304304304304303303304304305304305304305303303303304302303303303303302302302301300302302303301301301303302303303303303303303304304304304304303304305305304304304305305304304303304304304304303303302302302302303304303303304303303303302303302302303303304303303304304303304303304304304304304304303303303303303304304304304304304304304304303304303303303303303303304303303303304304304304304304304304305305304304304304305305305305304304304305305304304305304304304303304304305305305305305306306306306305306305305305306306305306306306306306306306306307305306305306306306306307 304305304304999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299296296297297296297297298298299300301301301300300299298298298298298298297297298299299300300300300300300300300300300300300301301301300300300300301301300301300301302302302302302301301303303303305304304305306305303305306304303303301301302301301302300300300301301301299300299300300301303302302302302301301302304304304304304304305305306306306306306306306307307308308309999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294295296298298298295293289292292292292294294294295295294294295296296296296296296297297297297297296296296296297297297298297298297298299300299300299299300299298297297297297297298298296295296297297297297297298298296297297297297296297296296296296296296295295294294293293293292292291290290290290290290290290290290290290291291291291291290292292292291292291291291290290290290291291292292292292291291292292293292293293293293293293293292293293292292294294294295294294295295296296296295295295296295296296296295296296296297297297296296296296296296296296296296296296296297297297297297297296296296297297297296297297297298298298297297297297297297297297297296297297297297297296297297296296296296296297297297297297297297297297297297297296297298297297299300298298300298298297298298298298297298298298297298298298298299299299298299299298298299299299298299299299299299299299298298300300300299300300300300300301301300299299299298299298299298298298298298298298299299299299299298299299299299298298298299300299300300300300300301301300300300301300301300300300300301301300300299300300301301301300300301301301301301301302301301300300300299300300300301300301301301300301301300301301301302302301301302302302302303303302300300301301301302302302302302303303303305304304305305304305304304303304304303303304303303303304304304304303304303302302302303301301302302302302301302300301301301301301301301302302301302303303303304303304304304304303305305305304304304304304303304304304304304304303303303303303302304303304303304303303303302303302303303304304304304304304304304303304304303304304304304303303303303304304305305304304304305304303303303304303303303303304303303303304304304305304304304304305305304305305304305305305305305304304305305305305305305304304304304304305305306306306306307306305305306306305306306307306307306306306306306306306307306306306306306306306307 306306304303302999999999999999999999999999999999999999999999999999999999999999999999999999999999999297296296297298297297298298298299301301301301300300299299299299298298298297298298299300300300300300300300300300301300300300300301300301301301300300300300301300300301302302301301302302303302304305304304304306305305305304305304303302302303302303302301300301301302301300300300300301302302302302302301302302304305304304304304305306307306306306306307999999308307307307999999999999999999999999999999999999999999999999999999999999999999999999999999999999302300300999999297297295296295295296297296296292293294293293294294295295296296295295296296296298297297297296296297297296296297297297297297297297298298298299299300299299299298298299297298299296296296296295296296296296297297298298296297297297297296297296296296296296296295295295295294294293292292291291290290290290290289289289290290290291290291291290291291291291291291291290291291291291291291291290291291291291292292292292292292293293293293293293293293293293293293293294293294294294295295296296295294296295295295296296295296295296296296297296296296296296296296296296296296296296296296296296296296297297296296297296296296297296297297297297298297297297297297297297296296296296296297297297296296296296296297296297297297297297298297297298297297298297296297297297298298298299300299298297297298299298298297297297298299298298297298298298299299298298298298299299298298299299299299299299299299298298300300300300299299300300300298300299298299298299298298298298298298299298298298298298299299298299299299299299299299300299300300300300300300300300300300299299300300300300300300300300300301300300300300300300300300300300299300300300301301301300300300300300300300300300301301300300300301301301302302300301301301303301302303301301299301301300301300301302302302301302303303304305304306305304305305304303303303302302303303303303304304304304303303304303302302303302302302303303300302301301299300302301301301301302303303303303304304304305305304304304304304304305305305304304304303305304304304304304303303303303302303303304304304304303304303303303303303304304304304304304304304304304304304304304304304304304304304304304305305305305304304305304303303303303303303303303304304304304304304304305305304304304304305305306305305305305305305305304304304304304304305305304304303304304304304305306306305305305305305306306306306306306306306306306306307306306305306306306305306306305306306 305306306305303305999999999999999999999999999999999999999999999999999999999999999999999999999999999999295296298298296296297298298299300301300300300299300299299300298299298298298298299299300300301301300301301300300300301300300299299299300299299300300301301301301301300300300300301301302304302304305305301304304305305305305304304302303304303303302302301301301301300299299300300302301302302302301302303303303304304303305306306306307306306306305999999999308999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301302300301300298297295295296295295298294296296295294294293294294295296296297297296297296297297297297297297297297297297297297298299297298297297299298299297299299299300299300298298298298297297298297296296296296297296297297297297297297296297297297296296296295296295295295294294294294293293292292291291290290290290290289289288289290290291290291290290291291291291291292292291291291291291291292292292291291291292292292292292292292292293294293293293293294293292293293293294294294294294294294295295295295295295295295295296295296295295296296296296297296296295296296296296296296296296296296296296296296296296296296297296296296297296296297297297297297297297297297297297296296296297296297297297297297297297297297297297297297297297298297298298298298298298298297297297298298298298299299299299298298298299299298298298298299299298299298298298298298298298298298298299298299299299299299299299299299299298299299299299300299299299300300299299299301300300299299299298298299299299299298298298298298299299299299299299299299299300299299300300300300301300300300300299299300300300300301301300301300300300300300300300300300299299300300300300299300300301300299300300300300300301300299300300299300301301301301301301300302301301300302301301300299301301301301301300301301301302302303304305305304306305303303303304303303302302302302302303304304304303303303303303302303302303303302300301302302301300301299300301301301300301302302303304305305304304305305304305304304304304304305304304304304305304304304304304304303303303303303303303303304304303302303303303304303304304304304304304304303304304304303304304304304304304304304304304304304305305305304304305305304304304304304303304303304303304304304304304304304304303305305306305305305304305305305305304304304304305304304305304304303303304304304304305304305306306306305306307306306306306305305305306307307307307306307307306306306306306306306306 305305305306305305999999999999999999999999999999999999999999999999999999999999999999999999999999999999294297298298297297298298298299300299300300300300300300300300299300299298297298299299299299300300301301301300300300300300300299299300299298299300300300301301301301300300301302302301302304304305305305304305304305305305305304303303304303302302302301302302302302301300300300301302302301301302301302303303304304305304305305306304308308308309999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300299298300299298295295295295295299296295297296292293294294294295296297297296296297297297297298297297297296297297297298297298297297296297298299298300298297297298298297299298298298297297298297296296297297296297297297297297297297297297296297296295296296295295294294293293293293292292292291291291291290290290289289289289289289290291291291291291291291291291292292292292291292291291291290291291291291291292291292291292292292292292293293293293293293293293293292293293293294294293294294295295295295295296295295295295295296296295296296296296296296296295296296296296296295295296295296296296295296296295295296296296296295296296296297296297297297297297297298297297297297297296297297297297297297297297297297297297297297297297297297297298298298297298298298298297298298298298298299299298298298298299299298299299301299298298299299299300298299298298298299299299299299300299299299299298298298298298298298299300299299299299299299299298299299302301300299298298298298298299299298298298298299298298298297298298298299299299299299300300300300301301300300300300300299300300300301301300299299301300299299299300301300299299300300300300300300300300302299299299299299300300299300299299300300300301300300301301300301300300300301301301300301300301300301301301300301302302302302304304305305303303304303303303303302303302302302303302302303304303303302303303302303303300302302302300300301301300300300300300301301302301302301301304306305304304304303304304304304304304303304304304305304304305305304304304303303303303303303303303303303303303304303303303304304304304304304304304304304304304304304304303303303304304304304304305304304304305305305305305305304304304303304304304304304304304304305305304304304304305305305306307306306305305305305305305304304303303304304304304304304303303303304304304306306306306306306306307306306306306306306306306307307306308308307306306306306306306306306306306 304303304305305305999999999999999999999999999999999999999999999999999999999999999999999999999999999999294296297298297298298298298299299299300300300300299300300300300300299298299298298299299299300300300301300300300301300300300300299299300300299300300301300301302301300300300301301302303304304305305305305304304304304305305305304304303303302302302301302302301301300301300300300300302302301302302303303304306304305305306305307305308309999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297296298298297295294295293293297296296297295293294295295295295295296297296296297298298298298299298297296297297298298298297297296298297299298298299297298298299299298298298298297297297296296296296297297296297297297297297296297296296296296295294295295294294293294294293292292291291291291291291291290290289289289289289289289290290290291291291292291292291291291291292291291291292291291291291292292292292291292291292293291292293294293293293293294294293293292293293293293295293294294294294295295296295295295295295295295296296296296296296296296296296295295295295295295296295296296296296295295296296296296296295295295295296296296296296297297297298298298297298297297296297297297297297297297297297297297297297297297297297298297297298297298298297298297297298297298298298298298297298298298299299298299299299300300300299299300300300299299299299299299299300300300300300299299299299299298298298298298299299299299299299299299299300299299299302301299298298298298299298299298298298298298298298298298299299299298299299299299299300300300300302299300301300300300300300300300300300300299300300299300300300299300301301300300300300300299300300299300299299298300299299299299299300300300300300300300300301301302301300301301300301301300300300301301302303301301302302302302302303305305304305304303304303303302302302302302302302302302304303303302302303303303304303303302302301300300301300300300300301301301300302303301302303304304303303304303304304304304304304304304303304304304304304305304304303303303303303303303303303303304303303303303303303303304304304304305304304304304304304304304304304304304304304304304304304304305305305305304305305304304304304304304303303304304305305305304304304305304304304305306306306306306305305305305305305305304303303304303303304304303302303303304304304304306305307306306306306306306306306306306306306306307307307306306306306306306306306307306306307 303303304304304303999999999999999999999999999999999999999999999999999999999999999999999999999999999999296295298298297297297298298299299300300300300300299300300300299299298298298298299299300300299299300300300300301301301300300300299300300299300301300301302301301301301301300300301301303303303303304302303303303304303304305304304303303304304304303302302300301300300300300300300302301301302302302303303304305305305306306305999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296297296295294295293294295295296296294293293294295295295295296297297297297298299299298298297297297298297297298298295297296297297297298298297298298299298298297298297297296298297296296296297297297296297297297297297297296296295295295295295294294293292291292292293292292291291290290290291290290289290289289289289290290291290291291291292292292292291291292292291291291292292292292292292291292292292292292292292292292293295294294294294294294294294293292293293292293292293294294295295295295295295295295295296296296296296296296296296296296296296296296296295296296295295296296296296296296296296296296296296295296296296296296296297298297297298298298298298298297297297297297298298297297297298297297297297297297297298298297298298298297297298298297298298298298298298298298298298299299299299300299300300300299300300300299300300299300299299299299300300300300300300300300300300299299299298298299299299299299299299299299299300299298298298298299298298298298298299300298299298298298299299298299299298299299299299299299300300300300301301301301301300300300300300301300302301300300300300299300300299299299300300301301300300300301300300300300298299298300299300300299299300299299300299299299300300300303301301300302299300300301301301301302302301301302302302302302302304304304305304304304305303303303302302302303302303303302302303303303302303303302302302302302301301301300300300299299300302300300300300303304302303303304303303303303303304304303303304303303302303304303304303304303303303303302302302303303303303303303303303303303303302304304305305305305305304305304304304304304304304304304304304304304304304304305305304304304305305305304304304304304304304304305304305306305305305304305305303304305306306305305305305305305305305305304304304304304303303303303303303303304304305305304305305306306306306306306306306306306306307306305306307307307306306306305306307307306307307 303303304304304303999999999999999999999999999999999999999999999999999999999999999999999999999999999999293296299299297297297298299299299300300299300299299299300300299299299299299299299300300300300299299300300301301301301301301301301301301300299300301302301302301301301301301301301302303301302303303303303302301303304304304303304304304303304304302302302300300300299299300301300301303302303303302303303304306305305305305304999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301296294295294293293292293295295294294294295295296296297297297297297298298299298298298297297297298297297298298297296297296296297297297297297297297297296298299297297298298297297297296297297297296297297297298297296296296295295295295295294293293999290291291292292291291290291290290290289290289289289289289289290290290290291291292292292292292291291292292292292292292293292293293293292292292292292292292292292292293294295294294294293293294294294294293292292292292293294294294294295295295295295295296296295295295296295296296296296296295296296296296297297297296296296295296296296296295296296296295296296296296296296296296297297297297298298298298298298298297298297297297297297297298298298298297297296296296298298297298298298298297298298297298298298298298298298298298298298298299299299300300300300299300300300300299300299299300300300299300300300300300300300300300300300300300299299298299299299299299299299299299299300300299298298299298298298298298299299299300299298298299298299298298298298299298299299299299300300302301302301301300301301301301300300300300300301300300300300300300299299299300300301301301301301299299299299300299299298299299300300300299299299300299299299300299299299301299301302300299300299300300302302301302302303302302302302301302303303303304304305305303304303303304302303301302302302302303303302302302303303302302302302302303303301300300299299299300300300301300300302303304304304304303303302303303304303303303303303303302303303303303302303303303303303302302302302302303303303303304304304304303304304304305304304305305305304305305304304303304303305304304304304304304304304304305306305305305305305305305305304306305305304304305304305305305305305304304303305306305306305305305304304305305305304305304304304303303304303303303304304304305304304305305305305305306306306306306307307307307306306306306307307308307307307307307307308307308307 303303304304304302999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298299299297297298298298298299299299299299299299300300300299299299299299299299300301301301300300300300301301301300301301301302301301301301301302302302302302301300301301301301303302301303302303302302302302303304304305304303304302304302301303302301302301301300300301301301302303304303303304304304305306305304304303306999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301999999999999999999999999299299296293295293291292292294294295294294295296296296296297297297297297298298298298298298298298298298298298297297297298299298297298298297297298298297297297297298297298297297296296297297296296297296297297296297297296296296295295295295294294293293999290290290291291291291290291291290290289289289289289288289289289290290290291291292292292292292292292292292292291291291292292292293293293293293292293293293292292293294294294294294294294293293294294295293293293293293294294294295294295295295295296295296296295295296296296296296295296296296297296296296296296296296296295296295296296295295295295295296296296296296296296296296297297297297297298298298298298298298298297297297297297297297298298297297298298297298297298297298298298298298298298297298298297298298298298298298299299299299299299300300300300300300300300300300299300300300300300300300300300300300300300300300300300300300300300300299299299299299299299298299299299300300300298299298299297297298299299299298299298298298299299299298298298299299299299299299301301301301301301301301301301301300301302301301300301301300300300300300300300299300301301301301300300300300299300299299299298299299299300300299299299300299299299300299298298299299301300299299300300300300301302299301303303301302302302302302302302303304305306305305304303303303303303302302302302302303303303302302302302302301301301302303302302300300300299300300300301301301302302304305304304305304304303303303302303304304304303303303303303303303303303303303303303303302303302302303303303303303304304304304304304305305305305305305305304304304304304304304304304304305304304304304304305305305307305305305305305304305305305304306305304304305305306305304305305305304304305306306305305306305305305305305305305305304304303304304303304304302304304304304305305304305305305305305306306306306306306307307306306306306306306306307307306307306308308308309309 302303303303303302999999999999999999999999999999999999999999999999999999999999999999999999999999999999297298298298296297298298298299299299300300300300300300300300300299299299300299300301300300300300300301300300301300299300301301301301300300300299299300301301301300301301301300302302303302302302302301301302301302304305304304303302303303303302302302302302302302301301302303303304304304304304304304304305305304304307308999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302299999999298298296295296294293298294293292292293294294294295295296296296296296297297298297297298298298298298298298298298298298298298298298298298298298298297298298297297298298298298298297298296296297297297298297296297297296296296296296295295296296296295295294294294293292999289290290290290290291290290290290290289289289289289289289290289289291290293292292293292292292293292292291292292291292293293293293293293293292293293293292293294293293293293294295294294293294295295292293293293293294294294295295295295295295296296296297296296296297296297297296296295297297296296296296295295296296295296296296296296295296295296296296296296296296296296297297297297297297297298298298298298298298298297297297298298297297298298297297297297298297298298298298298298299298298298298298297298298298298298298299299300299300300300300300300300300300300300300300300300300300300300300300300300300300300300300300300300300300300300300299300299299298299298298298298299300300301299298299298297298299299297297298298299298298299299299299299299299299300300300302301301301302302302301301301301301301301300301301301300300300300300300300300300300300301301301301299300299299299298299300300299298299300300298298300299300299298301299299298299299299299300300300299299298300300298299302300302301302303302302303302304304304305304302304303303302302302302302302302302301302302302302302302302303303302302301301301300300300301300300300300300301302303303304304305305305304303303303303303303303303303302303303302303303304303303303303302302303303302303303303303303304304304304304304305305305305304305304304304304304304303304304304304303304304304304304304305305306306305305305306305304305304306307306306304304304305305305305306305305305304305306306305305304305305305305305305305305305304304305305304305306304305304304305305304305305305305305306305306306306306306307307306306305306306306306306307307306306306306306308309 304303304304303303303999999999999999999999999999999999999999999999999999999999999999999999999999999999298299298297296297297298298299299299299299300300300300300301299299300300300299300300300299299300300300300300300300300300301301301299299300299298298298299300301301300301300299299300301303302302301301301302302303304303304303302302303303303303303302303302303303303302303304304304304304303304305305305304305305306307999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304999999300298297296295294294294294295293293292292293293294293294295296296296297297298297297298299298298298299299299299298299299298299298297297298299298298298297298297297297298297297297298297296296296297297296297297296296296296296295295296296295295295295294294294294293293292289289289289290290291290290290289290290288289289289289289290290290290291292293291292292292292292293292292292291292292292292292293292292292293293293293293292294294294294294293293294294293290293294293292293293293293294294294295295295295295296296297297297297296296296296296296296296296296297296296296296295295296295296295295296296295296296296295296296296296296296296296296297297297297296297297297298298299298298298298296296297297297297297297297297297297297297297297297298298298298298298298298298298298298298298298298299299299299300300300300300300301300300300299299300300300300300300300300300300300300300300300300300300300300300300300300300300299299299298298298298298299299298299298298301298298298297298298298297298297298298298299299299299299298299299300301300300301300301301303302301301301301301301300300300301301300301300300300301301300301301301302301300300299299299299298298299299299299299299299298297298297298298298298298299299299298298299300300299298299298299298299299298300300300301303302304303303304304304303303305303303303302303303303304302303303302302302302302302302302304304303303302301301301300301302301300302301301300302305303303304305305305305304304304303303304303303303303303303302302303303303303303303302303302302303303303303303304304305305304304304305305305305305304304304304304304304304304304304304304304304304304304305305306306306305305305306306306307307307307305305304304305305306306306306306305305305305307305305305306305305305305306305305305305305304303305304304304304304304304305305304305305305305305306305306306306306306306306307306306306306306307307307307307306306307308308309 304304304304303304304304999999999999999999999999999999999999999999999999999999999999999999999999999999297299298297296296296297297298299300300300300300299300300300300299300299300300300300299299300300301300300300300300300299299300299299298298298999999297298300300301300300301299299300301300302302302301301302302303304303303303303304304303304304304303304304303303303302303303303302303304303304305305305305305306307310999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304999303301300299297296294293294294294293293293292292292293294294294296297297297298298298297299298298298298298298299299299298298299298298299299298298297298299298297297297297298297298299297297298297297297297297297297297297296297295296295296296296296295295294294294294294293292999289289289290291291291290290290290290290288289289289289288289291291292292293292291292293293293293293293292291292292292292293293293293293292292293293293294294294294294294294293293294293294294293293293293294294294294294294294294295295295296297297297297297297297297297296296296296296296296296296296296296296295295295295296296296295296296296297296297296296296296295296297297297297297297297298298297298298298298298297297297297297298297297297297297297297297298297298298298299299298298298298298298298298298298298298298298299299299299299300300300300300300300300299299299300300300299299300300300300300300300300300300300299299300300300300300300300300300299299299298298298298298299298299298299298297298297297297298299297298297298297298300299299299299299299299299300299300300300301301302303301303302301301299301300300301301301301301302302303303302303302301301301300300299299299299299298299299299299299299299297297298298296298298297298299297298299298299300299299298297297300300299299300301301301302303303304304303304304303305303305304303303304305304303303303303302302302302302303303303303303303302303302302301301301300300301302300300300301301302301303304305305305305303304303304304304303303303303303303303303303303303303303302303303302302302303303304304304305305305304303304305306306305305305304304304304304304303304304304304303304304305304304304305305306306305305305306306306304306308306307305305305305306307307307307306306306304305306306305305306306305305305306306305304304304305304304304305305304304305305304305305305305305305305306305306307306306306306306306306306306306306307306306306307307307308307308308 302303305305305305303999999999999999999999999999999999999999999999999999999999999999999999999999999999299299298297297297296297298298299299300300300300300300299300301300301301300300300300300300300300300301300301300301300299299298298298298298999999999999298299300300300301300300300300301301301302302301302302303303303303304304304304304304305304304305304304303303303303303304304305304304303304305305304305305307309999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305303303301299297295294294293293293293293292292292292293294293294296297298298298298298298298298297297298299299298298298298298298298298298299298298298298297297298297297298298297298298297297297297297298297297297297297297296296295296295296297295296296295295294294294294293292290290289289290291291291291291290290290289289289288289289289289289291292294292292292292292293293293293292292292292292292292293293293293293292292293293294293293294293294294294294293293294293293293293293293294295295294294294295295295295296296296296296297297297297297296296296296296296296296296296296296296296295296296296296296296296296296296297296297296296296296296297297297296297297297297297297298298298297298297297297297297298298298298297296297296297297297297297298298298298297298298298298298298298297298298298298298298298299299300299300300300300300300299300300299299299299300299300300299300300299299300300299299300299300300300300300299299299299299299299298298298298298298298297297297298297297297297297297297297297298298298298299299299298299299299299299299300299299300301300303301301301302302301301300300300300301302301301301301301302302302302301301300299300300300299299299298299299299298298298298298298298296295295296297297299298298299298299298297298298298297300299300300301301301301301303304303305304303304303303302303304304304303304304303303303304303302303303303303303303303303303302302302302302301300300301301301302302300301300302301302304305304304305303304304304305304304303303303303303303303303303303302302302303303303303303303304304304305305304304304304305306305306305305304304304304305304304304304304305305304304305305305305304305305306305305305306306305306305306307307306306306307307307307307306306307306306306306306305305305305305304305305305305305304304304305305304305305304304304305305305305305305305305305305307306306306307307306306306306306306306306306305306306306306307307308308308310 301303303304305304304304999999999999999999999999999999999999999999999999999999999999999999999999999999299300299297297297296296297298298299299300300300300300300300302302301301302300300300300301300300300301300301301300300298298298298298298299300999999999299299301301300300300300300300301301301301302302302302302303303303304303303303302304306304304304304304304303303302303304304304304305305306304305304305307306999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303302302300296294293293292293293292292291292293293293293294295296297297297298298298298298297297297298298298299298298298298297299299298299298298300299297297297297299298298298298298297297297297297297297298297297296296296297297296296296295295295296295294294294294293294293292289289290291291291291290290290289288290289288288288289289289290293292293293292292292292293293293293292293293293293293292293293293293293293293293293294294293294294294294294294294294293292293292293294294294295295295295295295295296296297297296297297297297297297297297297296297297296296296296296296296296296296296296296295296295296296297297296296297296297296297297296296296296296297297298297298297297297297297297297297297297297297297297297297296296297297298298298297297298297297298298298298298298298298298297298298298298298299300300300299300300300301300300300300300300299299299299299299299299299299299299299299299299299299299299300300299299299299298299299299298298298299298298297297298298297297297298297297297297297297298299298298299298299298299300300299300300300300300301301302301301302302303302302301301301300302302302301301302302302301302301300301299299299299300300299299298298299299298298298298298297298297294294296298297298298298298299299298298297297297299299298299301302302303301301303305303303303302302303304302304303303304303303303303304303302304303304304303303303302302302303302302302304304301300300300301301299301300302302301302302304304304303304304304304304304304304303303303303303303303302302302302303302303302303302302303304304304305305304304305305305305306305305305305304304303303304304304304304304304304305305305306305305305306306305305306306305306306305307305307307308306306307307307307306305306306306306305305305305304304305305305305304305304304304304305305304306306304304304305305306305305306305305305306306306306306306307306307306306306306306307307307307306306307307307308309310309 303303303303304304305305306999999999999999999999999999999999999999999999999999999999999999999999999299299299298296297296296296297297298299299300300301301300301300301302301301300299300300300301300300300301301301301300299298298299298298299298299301999300299299300301300301300300300300301301301301301302302302301302303303303302303302304304306303302302303304304304303304303304304304305304305305304305304305307999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301301299296294293293293293292292292292292292293293293295296296297297297297297297297298298297297298297297298298298298298298297297298299299299299298298298297296298298298299298297296297296297297297297298296297296297298297297297296294292292294294293293293293292292292293292290291291291291291291290290290290289289289288288289289289288290292292292293292293292293293292293292292293292293293292293293293293293293292293293293293294293293294294294294294294294293294295293293295294295295295295296296295296297296297297297297297297298298297297297296296297296296296296296296296296296296296296296296296296296296297296296297297297297296296296297297296296297296296297297297297297297296296296297297297297297297297297297297297296297297297297297297296297297298297298298298298298298297297298297298298298298298299299300300300299300300299299300299299299299299299299298298299299299299298298299299299299300299299299299299299299299299298298298299298298298298298299298297299297297296297297298299299299298297297298300300297299297299300300299300300299300300300300300301301301302302302302302301301301301301301302302301301302301302301302301301300300300301299299299299299299299299298298298298298298297299297296297297296297298298298297299298299298297297297299299298299301302302301301301302303302302303302301302303303304303302303304303302302303303302303302303303303303302302302302303304302302304304301301301301300301301301300302301302301303304304304305304303304304303303304304304303303303303303303302303303302303302303303303303303303303304304304305305305305305305305305305305305305304304304305305305304304304304304304305305305305306305305305305305305306305305306307306308306307307308308307307307307307306306306306306306306306305305305304305305305305304304305305304305304305305306304304304304306305305306305305305305305306306306306306307307307307307306307307306307306306306307307307307307308308308309 303302303303302304304304305305999999999999999999999999999999999999999999999999999999999999999999999999298300299297296296295296296297297297299299300300300300300301301301301301300299302300301301301300301300300300301300300300299299299299298298298298299300300300299301302302301301299300300301301301301302301301301301302302303303302303304304304303303303304304304304304303303304305305305305305304304304305305999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301301301298295294293293293292292293292292292292292293294295296297297297297297297297297298298298298298296297297297297297298298297297297298299299300299298298299298298299299300297296298298297297297298297297297297297297297297297296296999292292292291292292292292292292292292292292292291291290290290289290289289290289288288288289289290290290292292293292293292292294294293293292293293293293292292293292293293292292293293293294294294294293294294294294294294294294294294293295294294295295295295296296296297297297298298297297297298298298297297297297296297297297296296296296296296296296296296295296296296296296297297296297297297297297297296297297297296296294296296297297297297298297296297296296297297297297297297297297297296296296297296296296297297297298298298298298298298298298297298298298297298298298299299299299299299299299299299299299299299299298298298298299298299299298298298298299298298299298298299299298298298298298298298298298298298298299298298299297298297297297298298298299301299298297300301302298299299297299299299300299299300300300300301301301301301302302302302302302302302302301302302301302302302301300301300301300300301301301301299299299299299299299298298298298298298297297297297297297296296297297297298299299299301298299299299299299299300301301301301302302302302303302303301301303302303302302302302303302302302302303302302303302302303302302302303303303303303304303302302302302300302301300301301302303302303304303305304305304305304303304304304305304304303303303303304304302303304304302303303303303303303303304304305304305305305305305305305305304305304304304305304305304304304304304304305305305305305304304305305304305305304305306306306306307307307307307307307307307307307306306306306306306305305305304304305304304304304305305305304304305304304305304304304304306305305305305305304305305306306306306306307306306306306307306307306307307306306306306307308308308307308308 303303303302302304304304305304304999999999999999999999999999999999999999999999999999999999999999999999299301298297296295296296296297297297298299299299300301300301301301301302301299302299300300300300300300299300301300300300300299299299299300299300300300300300301301301302302303301302300301301301301301301300300302301302302303303303304304305304304304304305304304304304303305305305305306305304304303305999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303299300299299298297295294293293293293293293293292292292292293295295296296296296297297297297298298296296297297296296297298298299298298298297298298299298299299297297298298299299300299297297297298297297298299298299299298298298298298298297297295999291290290291292292292292293292292292291291291291291290290290290289289289288289289289288289289290291292293291292292292293294294293293293293293293292292292292292292293292293293293293293293294294294294294294295294294294294295295294295294295295295295295295296296297297297299298298298297297298297297298298297297297297296297297297296297297296296296296296296296296297297296297296297296297296297296296296297297296296296297296296296296296296297296296297296297297296297297297297297297296296296296296296296296297297297298298298298298298298297297298298298298298298299299299299299299299299299299299299299299298298298298298299299298299299299299298298299299299298298298299298298298298298298298298298299299298298298298298299299298297297299299299299300298298299299302302300300299299299299299298300300299299300299300300301301301301302302302302302302302301301301301300301302302302300301301302301300300301301300300299300300299299299299299299298298298298297298297298298296296297298297297297298298300300298298299299299299299301301301301301301302302302302301302302301303303302303301302302303303302302302302302302302302302302303302302302302302302303304302302300303301300302302301302302302303302303303304306306303304305303304303304305304304304304304304303304303304303303302302302303303303303303303304304304304304305305305305304305304304305305305305304304304304304304304304304305305305305305304304304305305304305306305306306306307306307307307307307306306307306306305305305305306306306304305306305306307305305303305305305305304304304304305304304305304305304305305304305305305306307306306306306306306306307306307306307306307307307306306307308308308309308308308 302302303303303303304304304305303999999999999999999999999999999999999999999999999999999999999999999999300299298298296295295295296296297297298299299299300300300299301299301298300300299298300299300300300300300300299300300300300300299300300301301301300300300301301302303303303303302301301300300301301299299300301300301302303303303304304304304305305305305305305305306305304305304304304305305305304304999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301298299299299297296294293294293293293293293293292292292293293294295296296296296297297297298298297296296296296297298297298298298298297298297298298297298297299298298298299299299298298298298298298297297298298299299299299299298298299298297298297999291291290291292293292292292292291291291291291291290290290290289289289288288289289289289288290290292292291291292292292293293293293294293293293293293293293293292292292292293293293293294294294293294294294295295295295295295295295295295295295295295295295296296296297297297298298299298298299299298298299298297298298298297297296297297296297296296295295295296296297297297297296297296296296297298297297297296296296296297296296296296296295296296296295296296296296297297297297297297296296296296296296296296296296297297298297297298297297297297297297297297298298298298298298298298298299298298298298299299298298298298298298298298299299299299299299299299299298298298298298298299299298299298300299298298298299299298299299298299299299299299299298299301300302299301301301301300299299297298300299300300300299299299300300301301301301302302302302302302302302302301301300300301302301303302302301302301300301301301300300299300300299298299299298298298297297298297297296298297297297297297298297297297299300299299299299299298299301300301301302301301301302302301301301302302302301302303302303302303302303302302302304303302303302303302302303303303303304304303302301303301303300300301301302302301303303304305306304303304306305305304305305304305304304304304303304304305303302301302304302303303303303303304303304304304305305305305304305305305305305305305305304304304304303304304304304304305305305304304305304304304305305306306306306306307307306306306306306306308306306305304305306306306306305306306306305305306304304304305305304303304304304305304303304304304304305305305305305305306306306306306306306307307307307307307306306307306306306307307308308307308308309309 304304303304304303304305304303302301999999999999999999999999999999999999999999999999999999999999999999300299298296295295295295295296296297298298298299299299299299298297298298298299299298299299298299300300300300300299300300299299299300300301300300300300300301302302303303302301302302301301300300301300299301300301301302302303304304304304305305305304305306306306306306305306306304305306306305305306999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300300300299296295294294293294293293293292293293292293293294295296296296297297297297297297297296297297296297297297298298298298297297297297297297297298298299299300300299298299299298298298298298298298299299299299299299298299299298297297297296293293292292292293292292292291291291292292291291291290289289289289289288288288289289289289290290292292291292293293293294293293293292293293293293292293293293292292292293293293293293294294293293294294294294294295295295295294294295295295295295295295296296296297297298297298298299299298299299298299299299298298298297297297297296297297297297296296296296297297297297297297297296297297297297297297297297296295295296296296296296296296296296296295296296296296296296297297297297297296296296296296296296297296296297297298297297298298297297297297297297298297297297298298298298298298299298299298299299299298298298298298298298298299299299299298299299299299299298298298298298299299299299299300299300299299299298299299299299299299298298299298298300299301301300300300300299299298297297298298298299299299299299300300300300301301301302301301301302302302302301301300300301301301301301302301301301301302302302302301301300300300300300299298298298297297296297296297296298298297297297297297298297298298299299298299299300299299300300302301302302302302302303301300299302302302302302303301302303303304303303303302304303303303302303303303302303302303303302302301302303302302301301301302302301303303304303304303303303304305305304304305304305304304305304304303303303304303302302302303303303303302304303304304304304305305305305304304304304305305305305305304304304304304304304304304304305305304305305305305305304305305306306306306307307308307306306305305305306306306306306306305305305305305305305305305305305304304304304304304304304304304304304305305304304303305303305304305306306306306306306307307307307306306306306306307306307307306307307308307308308308309309308 304306304304304303304305304303301300301999999999999999999999999999999999999999999999999999999999999999300299298298296295295295295296296297297297297298298298298298297297298299298299298297296298298299299300300300299299300300299297299299299300299300300301300300300301303303301300303302301299299300300300300301301301302303303304304304304305306305305306306307307307306305305306304305305306305305304999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303302301299299298296295294294293293293293292293293293293293293294295295295296296296297297297297297297297297297296297298298298298298298297297296296296297297298299299299300299298299299300300299300299299299300300300300299299299299299298297296296295295294294293293293293292291292292291292291291291290290289289289289289288288287289289290290290291290291292292292293293293294293293293293293293293293293293293292292293293293294293293294294294294294294294294295295295295295295294295295295295295296296296297296297297297298298298298298298298298299298298297298298297297297297296296296297297297297296296296297297297297297297297297296297297297297297297297297296296296296296297297297297297296296296296296296296296296296297297296297297297296296296296296296296297297297297298298297297297297297297297296298298297298298298298298298298298299298298299299299299298298298298298299298299299299299298298299299299299299299298298298299300300299300299298299299300298297299299297298298299298298298299297297298299299298299298299298298299298298298299299299299299299299300300299300301301301301301301302302302302302301300301300300300301301301302302301301300302301301301300300300300300300300299299298298297297296299296297297298297297297297297298298298297298298300299299299300299300300300301302302301302302300301300300300300301302302302302302302301303303304303303304304304303302302303304303303302303302302302302302302303302303301305303301302303302302302304302303303303304305305304304305305304304304304304304304304303304304302302302302303303303302304304304304304304305305306306305304304304304304304304305305304304305304304305305304305305305305305305305305304304305305306306306306306306307307307307307305306306306306306306306305306305305306306305305305305305304304304304304304304304304304303305304304304303304303304303305306305305306306307306307307307307306306305306306307307306306307307307308308308308309308308308 304303304303303304303304306304303302303999999999999999999999999999999999999999999999999999999999999999300299299298297296297296296296297296295296297297298298298298297297298297298298297296999297298299299299300300300300300300298298298298299300299299299300300300300300300301301302301302301301299300299300301301302302303303304304305305305305306306306307306307306306305306305306305305306306305306999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300301301300298296295295294294294293293293292293292292293293293293295295296295296297297297298297296297298297298297297298299299299298298297297298296295298298298297298299299298300299299300299300300301300300300300301300300300300299299298298296296294294294294294293293293292292291292292291291290290290289289288289288288288287289289289290290291292291292292292293293293293293293293293293293292292292293293293293293293293293294294294294294294294294294295295295295296295296295295295295296296296296296296297298297297297298298298298298298298298298298298297297297298297297297297297297297297297297297297297297297297297298298297297296297297297296296296296296296296296296297297297297297297296296296296296296296296296296297297297297296296296296296296296296297297297297297297298298297297297297297297297298298298298298298298298298298298299299299299299299299298299298298299298298299299299299299299299299299299299299299298299299300300300299298298299300299300300299299298297297299300299298300299299298299299300299298299298299299299299299299299299299300300300300300300301301301302301302302302302302302302301301301300301301300301301301301301301301301301301301302300300299300300300297298298298298298300300298297297296298297298298297297298298298299299299299299299300300300300300300301301301300300300300300300300300300302302303301302302302302303303304303304303304304303303304304304303303303303302303303303304304303304303303303304302304303303304302302302303304304305304305304304304304304304304304305303304303303303303302302303302303303302303304304304304305305304305305306304304304305304305305305306305305305305305305306305305305305305304305305306306305305305306307307307307306306307307307307306307307306306305306306306306307306305306305306305305305305304304304303305305304303304304305305304305305305304304304305305305306306307307307306307306307307307307306305307307307307307308307308308310309308308308307 304304303304304304304304304304304303305999999999999999999999999999999999999999999999999999999999999999300299299298299296296296296296296296295295296297298297297297297297296297297297298297297298298299300299300300300300300299299298298297297299299299299299299299301300300301300299300299299299300300300300301301302302302304304304305305306305305306306307307307306305305305306305307306306999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298299298296296295295294293293293293292292292292293293293293294295295296296296297297297297296296296297296298298298299299299299298299298297297297296296296298298297297298299299298299299299299300300300300300300300300300299299300300298298297295294294293293293292292292292292291291291290290290290289289290288288288288288288288288289290291292293293292293293293293293294293293293292292293293292293293292293293293293293294294294293294293294294295295295295295295295295296295296296297297296296297296298298298298298298298298298298298298298298299299298298298298298298297297297297297297297297297297297297297297297297298298298297296297297297297297296296296296296296296296297297297297297297296296296296296296297297296297297297296296296296297296297297296297297297297298298298297297298298298297298298298298298297298297297297298298298299299299299298299299299299299298299298299299299299299299299299299299299299299299299299299300301298299300300300299300300300298299299299300301301300300300300300300299301301299300301300299300300299299299299300300300301300300301301302302302303303302303303302302301301302301301302301301300302302301301301300301301301301301301301300300300299299299298298298297298298298297297297298298298298298298298297298298299300299299298301301300300300301300300301301301300300300300300300301303303302302302302302302301302304303304304304304302303304305304303303303303303303303303303304304303305304303304304302303303304302303303303304305305305304305304304304304304304304304304303303302302303302303302303303303303303303304304304305305305305305305304305305305305304304305304304306306306305305306305305306304305305305305306304305305305306307307307307307307308306306307307307307306307307306306306307307306305306305305305305305305305304304305305305305304305305305305305306305305304305304305306306306307307307307307307308308307308307307307307307308308307308308308309309308309308307308 304304302303303303305305304304305304304999999999999999999999999999999999999999999999999999999999999999299299299298298296296295295296296296296295296296297297297297297297297999296297297297298298299299300300300300300300300300299298297296297298299299299299299300300300299300299299298299298299300300301301302302302302303303304304305305305304306305305306305305304305305305305999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298298297296295294293293292292293292293292293293293293293293294295295296296297297297297297296296296297298299299299300300299299299298298297297297296296297297297297298298297297297298298299299299299300300300300300300300300299299299297296295295294293293292292292292292292291290290290290290289289289289288288288288288288288289289292291293293292292292293293293293293294293293292292292293293293293293293293293293293293293294294294294294294295295295295295295295296296296296297297297296298297297298299298298298298298299298298298298298298298298298298298298297298297298297297297297297297297298297297297297298298298298297297297297297297296297296297296296296296296297297297297297297297297297297297296297297297296296296296297296296297296296297297297297297297297297298298298299298298297298298298298298298298298298298297297298299298299299299299299299299298298299299299299299299300299299299299299298299300298300298298298300300300299300300299301300299299299300299300300299300300299299300300300301302301301300301302300300300300300299299299300301301300300301301302302302303303303303302302303301303302302302302301300300301301301301300301301301300300301301301300301300300300299298298298299298298297297296297297298298298298298297297298298299298299299300301302300300301301300300301300300300300300300300300302301302302302303301302302302302303302304303303303303303303303303303304303303303305305304304304304303304304305303301302305303303302303304304304304305305305306304304304305304304303304304304304303302303303302303303302303303303304304304305306305305305305306305305305305304305304305305305305305305304305305305304305304305305305305306305306306305305306307307307307307307308307307307307306307307307307306307306306306305305305306306305304304304306305306305305305306306305305306305305304304305306305306307307307307306308308307308309308307307307307307307308307307308308307308309309308308308308308 304304303303303303304304305304304303303999999999999999999999999999999999999999999999999999999999999999299298299299298297296295295295295295295295296297297297297297297297297297297297297297298298300300299300300300300299299299298298298297298299299299299299300300299300300299299297299298298299299300301302302303302302302303304304304304304304305305305305304306999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299300298297295294293293293293292292293293292293293293293293293294295296296297297297297297297297298299299299300300300299299299299297298298298298296297296296296297297297298297297297298298298299299299300300301301301301300299298298298296295294293293292292292292292291290291290290290290289288289288289288288287288288288288290290291293293292292293293292293293293293294293293292292293292292293293293293293293294293293293294294294295296295295295295295295295295295296296296297297297297297298297298298298298298298298299298298298298298298298298298298298297298297297297297297297297297298298298298298297298298298298298298297298297297298297297297297297296297297296296297297297297297297297297297297297297297297296297296296296296296296297297297297297297297297297297298298298298298298298299299299299298298298298298297298298298298298299299299299299300299299299299299299299300300299299299299299298298299299298298298299298300300300300300300299301300299298299299301299300300300299299301300300300300299301300299300300300299300300299300299300300300301301301301302302302302303303302302302303302302301301301301301301300300301301301301301300301301300300301301301299299299300300300300299298299299298297296296298298298298298298299299299298299298300299299301302302302301301300300300300300300300300300299300300299301302300301302302302302302303303302303303303302302302304304303303304303303303304305305304304304304303303304303302304303304304303303303305305304305306307306304304304306305305303304304304304305303302303303303303303303304304303304305305305305305305305305306305305305305304304304305305305304305305305304305306305305305305304304305305305305305305306307307307307307307306307307307308308306307307307306306306306306306305305305305305305305304305306306305306306306306307306305306305304304305305305306307307307306306306307307308308308308308307307307307307307306308307308308309309308308308308308 302304304303303304304305305304304305305305999999999999999999999999999999999999999999999999999999999999999298297298297297296999295295295295295295295296296297297297297298297297297297297297297298300300299299300300300299299298298298298298298299299299299300300299299300299298299299299299300300300302301302302302303302303303304304305303304304305305304999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297298297295294293293292293293293293293293293292293293293293293294295296296296297297297298298298299300300300301301301299299299299299298299299298297297296296296296296297297297297297298298299299298299300300301302301301301300297297297294293293293292291291291291291290290290289289289288288288288288289288287289289289289289290291292293292292292293293293293293293294293293292292293292292293293293292292293293293294294294293294294294294295295294295295295295296296296296296297297298298298298298298298298299299298298299298298299298298298298298298298298298297298298298298298298298299298298298297297298298299298298298299299299298297298297298298298297297297297297297297297297297297297298297297297297297297297297297297297296296296297298298298297297297298299298298298297299298298298298299298299298298298298299298298298298298298298298298299299299299299300299299300299299299299299299299299299299299299298298299298299299300299299299301301299300299300299299300300300300299300299299300300299300299299300300300300300299299301301301300300301301301301301301302302302302302302303303302301301302302300300302301300300301300301300301301301300300300300301300301301300301301301301301300300299299299298298298297298298298299299299298299299299298299299299299301301301301302301301301300300300300301300300300300301302300301300300301301302303302302303303303303303303302303303304305304303304304304304304305305305305303304304304304303305305304303304303303304305303303304305305304304304304304303304304304306305303303304303305306305305303304306305305305305304305305304305305306306305306306306305304305305306305305306305305304305304305305305305306305305305305305305306306306306306308306307307308307307307306307307306306306306306307305306305306305306305305305305306306307306307306306306305305306305305306306305306307306306307307307307308308308308308309308308307307307307307307307307308308308309310310308309310 999999305303303303305305305304305305306305305305999999999999999999999999999999999999999999999999999999999999999298297296296296295295295295295295295296297297297297296297297297297297297297297298299298299299299299299299298297298298298298299299299300299300300299300300299299300300300300300302302302302302302302302303304304304305305304304305303999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296295295294293293292292293293293293293293292293293293294294294295295296297297297297298298299300300301300301300301300300299299299299300299298296297296296296296296296296296297297298298298298298299300301302302302301300301299298297295294293293292291291291291290289288288288288288288288288288288288288288288289289289289290291291292292292292292293293292293293294294293293292292292293293293292293293293293293294294294293294294294295295295295295296295296296296297297297297298298298298298297298298299299299298299298299299298298298299298298298298298297298298297298299298299299299299298298298298298299298298298299299299299299298297298298298298297297297298298298297297297298298297297298298298298297297297297297296297297297296296296298298297298297298298298299298298298298298299299299300299299299298299299299299299299299298299299299299299299299299300300300300300300299299299299299299299299299299299299299298298299299299299300300299300300300300300300300300301299299300299301300299299300299299300300299299299299300300300300300300301301301299301301302303302302302302303303303301301302301301300301301301301301301301300301301301300300300300301301301300300300300300299299299301301300300300298298298298298298298299299299299299299299299299299299302301301302303302301302302301300300300301300299300300301301301301301300301301303302303304303303302303303303303304304304304305304304305304304305305305305305305305305304304305305303303304303303303304304303303304304304306305305304303304303305304305305305305304302306305307303305306307307306305305304305304305305305306305305306305306306305305305305305305306306305304305304305305305306305305305305305306306306306306307307307307307308308307307307308307306306306306307307307306307307306308306305305307306306307306306307306307306305306306306306306306306307307307308308308308308308309308309309309308307307307307307307308309308310309309310310310309309 999999999305303303304304305305304305305306305305305305999999999999999999999999999999999999999999999999999999999999297296296295296295295295295295295296296296296297297297297297297297297298298298298298299299299299299298298298298298298298299299300300300301300300300299299299300300300300301301301301302302302302303303303304304305305305305305305999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297297295293293293292293293293293293293293293293294294294294295295296296297297297297298298299299300301300301301301301300300300299299300298297296296296296296296296296296296296297297297297298298299299300302303303301301300299299299297295294292292291290290290289289288287287288288287287288287288287288288288289289289290290290999291292291293292292292293293294294293293293293293293294293293292293293293293293293293294294295295295295295295295296296296296296297297298298299298298298299298299298298298299299299299299299299298298298298298298298298298298298298298298299299299300299300299299299298299299299298299299299299299299299298299299299298297298298298299299298298298299298298298298298298298298298297298297297298298297296297297297298298297297297298298299299298299299299299299300300300300299299299299299299299298299299299299300300300300300300300300300300300299300299299299299299299299299299299299299299299300300300299300300298299299300300300300300300300300300300300301300300300300299299298299299300299300300300301301300300301301301301301302301302302302301302302303302302302302302301301301300301301301301301301301300300300300299300300300300300300300299299299299299301301302301300299299298297298298299299299298299299299299300300300299300301301301302301301302302301301299300300300301301301303303301301301300301301302302302304303303303303303303304304304305305305305306307306306306305305304304305306305305305305306306306303304305304303303303303303303303304304304304303303304304306306305305304306304306305305306306306307305305304306305306305306305305306306306306305306306306306306306305305305307307305305305305306307306306306305306306306306307306307307307307306307307307307307307307307306305306307307307307307306306307306306305307305305306306306307306306306306306305306307306308306307307308308308309309309309309309309309308309309308308308308308308308309309310309309310311311310311 999999999303304303304304305304305304305306305306306305305999999999999999999999999999999999999999999999999999999999298296296295295296295294295295295295296296296297297297297297297298297298298298298298299298299298298298297298297297298298299300299300300300300300299300300300300300301300301301302301302301302302303303304304304304305305305305304999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295296295293293293293293293293294293293294294294294294295295295296297296296297298298299298299300301301301302302302302301300300298300298297297296296296296295296296296297297296297297297298298298299300302302302301301300299298297296294292292291290289290289289288288287286287287286287287287287287288288289289290290290999999999999291292293292292292291293293293293293292293293293293293293293294293293293293294294295295294295295295295295296296296296296297297298298299299298298298298299298298298299299299299299298298298298298298298297298298298299298298298299299299299299299299300299299299299299299299299300300299299299299298299299298298298298299300299299299299298298299298299298298299299298299298297298297298297298298298298297297297298298298298298299299299299299299299299300300300300300299299299299299299299299298299299299299299300300300300300300300300300299299299299299299299299299299298299298298298297299298298299300300300299299299300301300300300300300300301301300301299300300299299300300300300300300300301301301301300300301301301301301301302301301301302302302302302302302301301301301302301301301300301302302301300300301300300300300300300300300301300300300299301301302301301299298298298298299298299299299299299299299300299300299301301301301301301301302301301301300301300300300302301302302301301300300301302302302302302303302303302303304303303303304305305306306305307306306305306304305306307306305306306306306305303304303304304304305304303304304303304304304305304305306306307306306305304304303305305306304304306306307305306306305305305305305306306307307306307305305306306306306306306307306306305305305306307306307306306306306306306306306307306306307307307307307307308307307307307305306307308307307307307308308309308306306307306307307306306306307307306306306307306307307307307308308308309309309309309309309310309308309309309308308308308308308308309309308310309310311311309 999999999999304305306305305306305305306305305305305305305305999999999999999999999999999999999999999999999999999999999297296295295296295295295294294295295296296297297298298298298297298298298298298298298298298298298297297297298297298298299299299300300300300299300300300300300301301301301301301301302302302302303303304304305305305305305305999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296297294293293293293294294295294294294294294294294295295296296297297297297299298299299299300301301302303303302302301301301299299298297297296296295295296296297297297297297297298298297297298299300301302301303303301299299296293293293291290289289289288288287287287286286286286286287288288287287288289289291291291999999999291292292293292292293292293293293293293293293293293293293293293293293293293293294294294295294295295295295295296296297297297297297298298299299299299299298298299298299299299299299299298298299298298298298298298298299298299299299299299299299299299299299299299299299300299299299299300299299299299299299299299298298298298299299299299299299299299299299299298299298298299298298298298298298298299299298298297297297298298299299299299299299300300299299300299300299299299299299299299299299299299298298298299299299300300300300300299299299299299299299299299299298299299299298298298297298298298298298299300300299299299301300301300301301300300299300300300301301301300299299300300300301300300301300301300301301301300301300301300301301302301301302302302301302302301301301302302301301301300301301300301300300301300300300300300300300300300300300299300301302300302301300301298299298299300299299299299299299300300299300300300301301300300301301301301301301301301301301301302302302302301302301301301302302303303303303302302303303303304304303303304304306306306306305305305305305305306306306305304306306306304304304303304304305304304303304304304304305305304305305304304304304303302305303302306304304302304305306304305305305305305306305306307307307307306306307306306306305307307307306306306306305305307306306307306306307307306306306306306307306307308307307307308308308307307306306306307307307307308307309308307308307307307307308307306307307307306306306306306307306307308308308308308308309310309310310309309309309309309309308308307308308309309308307308309309309310310309 999999999999999304305300306999304306306305304304305305305305304999999999999999999999999999999999999999999999999999999999297297296297297296295295295295295295296297297298299299298298298298298299299298298298298298298297297297299298298299299299299300300300300300301301301301301301302302301302302302303303303303303304304304305306306306304303999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300298294295294294293294294294295294294295295295295295296297297297297298298299299300300301301302302304304303303302302301301300298298297296296296296297297297298297298298298298298297297298298299301302302303303302299298297296295292290290288288288288287287287286286286286286286287287287287287287290290293294999999999999292292292292292292293293292293293293293293293293293293293294294294294294294294295294294295295295295296295296296297297297297297297299299299299299298298299299299299299299299299299299298298298297297298298298299299299299299299299299299299299299299299299300300299299300300300299300299299299300299300300299299299299299299300300300300300299300299300300299299299299299299298298299299299299299299299298298298298298298299299299300299300299300300299300300300300300300299299299299299299299299299299298299300299300300300300301300300299299299299299299299299299298299298298299298298297297298297299299299298299300300301300300300300301301300299300298300301301301301300299300300300299301301300300301301300301301301301301301301301301301302301302301302301301301300301301302301301300301301301300301301301301300300300300301300300300300301301300301299301302302301301301302299300300299300300299299299301300300299300300300300300301302301302302302302302302302301301301301302301303302303302301302302301303302302303303303303303304304303304304303304304304305305305306305305306305305306306305306306304305304304304304304303304304305304305303303304304305305305304305304305305305304304304305304305306303304304304304305305305305305306306306305305307306307308307308308307307306305307307308307307307306306307307307306306306306307306306307306307307307308306307307308308309309308307307307306306307306306307307307308308307308308308307307308308307307308307306307306306307307308308308308308309309309309309309310309309310310309309309309308308308309309309309309307308308309308310309309 999999999999999999304299999999999306306306305304304305305305305304304305999999999999999999999999999999999999999999999999298298297297297296296295295295295295296297298297297298298298298298299298299298298298298298298298297298299299299299299299298299299299299300300301301301302303303302303303303304304303303304304304304304305306306305305303999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305305302298295295293294294294294294295295295295295295295296295295298297297298299300300300300301301301302303305304303303302302302300299298297297297297298298298298298298298299299298299298298298299300301302302302302302299299297293293292290290289288288288287287286286286286285286286286287288288288287288999295295296999999999294293293293293293293293293293294293293294294294294293294294294294294294294295296295295295295295296296296297297297297297298299299300300300299299299299299300300300300300299299298298298298298298297298299299299299299299300299300300299300300300300300300300300299300300300300300299299299299299300300300300300300299299300301301301301300300300300300300300300300299301300299299299299300299299299299299299299298299300300300300300300300300299299299300300300300300300299300299300299300299300299299299300300300300300300300301300300299299299299299299299299300298299298298299298298298298298297299300299300300300300301301300301300301301301300300299300300301300300300299300300300300300300301301301301301300302301301301301302301301301302302302301302301301301301301301301301300301301301301300300301301302301301301301301301302301301301301301300300300302302300301300300300300301301301300300298299299300300300300300300300300302302301301302302302302302302302302302302302302302303303302302303302302304303302303303303303303303303303303304304304304305304304304304305305305305305306306306305304305303305303303304303304303304304304305303304303305306305305306305305305304304304303306306305306304305305304304304305305305305305306306306305305306306306307307307306305305306306307307307306307308307306307307307307306307306307306306307307307307307307307307307308308308308307307307307306306306306306306308308307307308307306307306308308308307307307308308307307306306307308308308308308309309309308308309309310310309310309309309309307307308308308309309308309309309309308308309308 999999999999999999999999999999999999999304304303999303304304304304304304305999999999999999999999999999999999999999999999297298297298297296296295295294294295296297297297297297298298298298298298298298297298298298298298298298299299298298298298297298298298299300300301301301302303302303303303304304304304305304305304304304305305305306306303999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305307306300298297294293293293293294294294294295295295294295295295296296297297298299300301301301301301302303304303304303303303302301300299297296298297298297297297298298299298298297297298298298299300300300301301301301300299298295293292292290289288287287286285285284285284284285285286286287288288288288999999294294295999294295294292293293293293292293292293293294294294294294294294294294294294294295295295295295295295295295296296296296298297298298298299299300300300300299299299300300300300300300298298298298297298298297297298298299299299299299299299299299300300299300300299300301301300301300300300299299299300300300300300300300299299300299300301301301301300301301300301301301300300300301300301300300299300299299299299299299299299299300300300300299299299301301300299300300300300300300300300299299299299299299299299299299299300301300300300300300299299299299298299298298299298298299299299299298298298299299299299298299299300301300301300300300300300300300300300300299299300299299299299300299300300300300299300299300301300301301301300300301301301301302301301301301301301300300300299300300299299300300300299300301300301300300300301301300300300301301301300300299300300301301300299298299299300299301299299299299299299300300300300301301301301301301301302302302302303302302302302302300301302302302302302302301301303303302302302303303303303303302303303303304304304303303304304305304304305305305305304306303304304304303303303302303303303303304304303304304305305304305307306304305305304303304306306306304304305304305304304305306305306305306306306306305306306305305307306305305305305306307307306306307307307306307306306307306307306307307306307307307307307307308307308308307307307307306307307307306307307307306307308306307308307308308307306308308308309307308307307307306306306308308308308308309309309309308309309310310309309310309309310309309307307308309310309309309308308308308308309 999999999999999999999999999999999999999304999999999999304304304304304305306304999999999999999999999999999999999999999999999298298297297296295295295295294296296296296297297297298298298298298298298297298298298297297297298298298298298298298297297297298298299300300301303302303303303303999999304306305306305305304304303303306305306306304303999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999307307304300298296294293293293296294294294294295295295294295295296296297297298299299300300300300301302303303304303303303303302302301300299298296296297297297298297297298298298298297297298298299299299300300299299300300300297297296295293291289288287286286285284284284284284284284284285286287287287288999999294295295295296298297296292293293292293293292292292293293293293293294293294294294294294295295295295295295295295295295295296296297297298298298299299300300300300301301300299300300299299299299299299299298298298297297297297298298299299299299301300300300300300300300300301301301301301301300300299299299299301300300299299300300301301301301301301301302301300300301301301301301301300302303302301301300299299300299300300299299299299299300300300299299298300300300299299301300299301300300300300299299299299299299300299299299300300300300300300300300300300299299299299298299299298299299299299298299300299299299299299298299300300300301301300301301300300300300300299299300299300300300299300299300300300300300301301299300301301301301300301300301301301301301301301301301301300300300299300299301301299297298299298299300300300300300301300301301300300301301300300300300300300301301301299300298298301299299299299300300300299300300300300301301302301301301301302302303303303302302302302301302301301302302302301301301302302303302302302302303302304303303303303303303303303303303303304304304304304304303305304305304304304302303303303303303303303303303303304304303303303305306306305305304304304304304306307305304304304304305304305305305305306306306306306306305305305305305306306305305306306305305306306306306308307306305305306306306306305308306306307307307307308308307308308309307307307306306306307307306306308307307306306306307308308308309308309309308309310310309307308307306307306307308309309309309309309308308309309309309310310310310310309309309309308309309309308308309308308308308308309 999999999999999999999999999999999999999303999999999303304304304305305306305305305305999999999999999999999999999999999999999298298297297297296296295294294295296296296297297297298298298298298298297297298298297297297298298298298299298297298296298297298298299301301302303303303303303999999999999305306307307306305304304304305305307307304999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305302299298295295293292293294293293293294294295295295294295296296297297298299300301300300301301301302303302303303303302302302300299299298297296296297297297297297298298298298298297298298299300300300299298298298298297293295294293291289287286285284283283283283283283282283283283284285286287287288999292294295295296297297296296293293293293292293292292292292293293293294293294294294294295295295295295295295295295296295295295296296297297298299299299299299300300301300300299299299299300299300299299298298298298298298297297297298298299299299299300300300300300300300300300301301301301301301301300300300300300301300299299301301300301301301302301301300301301300300301302301300300301301302303303303301300300300300300300301300299300300300300300299299300300301300301300299300300300300301300300299299299299299299299300300300300299300300300300301301299300300299299299298298299298298298299299299298298298299299299299299299299299299300300300300300300300300300299299300300300300299299300299300300300299299300301300300299300300302301300301301299301301300301301301301301301300300301300299299298301300297297298299298299299299299299299300299299300300300299300300300300300300301300301301300299298297300301299300301300300300300300300300301300300301301300301301301302301302303302302302302302301301302302301301301301301302301302303302303302303302303303303303302302303303303303304304303303303303303303303304304304304303303302302303303302302302303302303303303303304303304305306305306306305304305304304305307306305305304305304304306305305305305305305306307306307306304305305306306306305305305305305305305305305304307305305306307307306306306307307306306307307308308308308307307308307305306306306306306306307308307307307308308307306307308307308308308309310308309310308308309307308307308308308308309308308309309309308308309309310310309310309309309309309309308308309308308309308308308308308308308 999999999999999999999999999999999999999999999999999303305305305304305305305305305304303999999999999999999999999999999999999999298298298297297296296294293294295296296297297297297298298298298298297298297297298298298298298298298298297298297297298298298299301302301300302302302302301999999999999999307308308307307305304304305306307307304999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301297296296295294293292292291292293293294294295295294295296297297298298299299300300301300301302302302301302301302302301302301300299297297296296296296297298298299298299298298297298299299300300299298297295294295292289291291289287285284283283281282282282282282282282282282282284284285287286999999999999294295294296297297294293293292293293293292291292292292292293293293293294294294295295295295295296295295295296295295295296297297297298298299299299300300301300300299299299299299300300300299299298298298297298298298298298298298298298299299300300300300300300300300300300300301301301301301301300301301300300301300301301301301302302301302302302301301301301301301302301300301302302302303303302299300300300300301301301300300301301300299299299299300301301301301301299298301301301301301300299299299299298298299300300301301300301301302301301300300300300299299299299299299298298299299299299299299299299299299299299299299300300300300300300300300300300300300300300300300300300300300299301300300300301300300301301300300301301300300301300300300301301301301300300300300300300300300300300298301302299300297300297298298297298299300299299299299299300300299299300300300300302301302302300299299300299301301301301301300300300301300301300300301301300300301300301302302302302302303302302302302301302302302302301302302302303301302303302303303302302303302302302302303302303303303303303302303302303303303304304305304304304302303304303302302302303303304303303303302303304304305304304304305304305306306307305305306307305306306306305304305305305305306306306306306306304305305305305305305305305305304305305304304304305305305306306307306306306307306305306307307308308308307307307306305305305306306306306307307307307307306308307307307307307308308307307307308308309309308308308308308308308308308308308308308308309309309308308308309310309309310309308308308309309309309308309309308309308309308308308 999999999999999999999999999999999999999999999999999303305306303303304304305304305305305305304304999999999999999999999999999999298297298297297296296295293293294295296296296297297298298298298297298298297298298298298298298298298298297297297298299299300300301302303300301303302301300999999999999999999999999999999999999306306306307307308999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293294295294294292292292291291291292293294294295295295296298297297298299300301300301301300300301302301300300300301301301301300300298297297296296297298298298298299299299298298298299300300299298297295292292999999288288285284282281280281280280281281282281281281281281281282283283284286286999999999999294294294296297295295293292292292292292291291292292292292292293293293294294295295295295296296296295295296295296296295295297297297297298298299300300300300300300300301300300300300300300299299299298298297298298298298298298298298299299299299301301301301301301300300300300301301302301301301301302302302301301301300300301300302302301302302302301301301302302302303301302302301303302302302302301300301301301301301301301301301301299299300300301302302300299301301300301301301301301300300300300299299299299300300301301301301301301302302301301300300301300300300299299299299298298299298298299299298298298299300299299300299299299300300300300300300299300300300300300300301300300300300300300300299299300300301301301301301300300301301301300300300301301301300300300300300300300300300300300299300300299298298298299299300299298299299300299299299299299299299300300300300302302301301301300301301301300301302300300300301301300299300300300301301300300301300301301301300301302302303302301301302302302302302302302302302302302302302302302302303303303302302303302302302302302303303303303303303303302304303304304304303304304304303303303303302303303303303303303303303303304304305304304304305305304304305305306305306306306305306306305305305305305306305305305305305305304304304305305305305305305305305305305305304305306306306307306306307305306305305305306307307308308307307307306306306306306306307307307307307307307306307307307306307307307308308307308308309308307308309308308309308307307307308308308308308308308309309308308309309309310309310309308308309309309308309309309309309309309308308308 999999999999999999999999999999999999999999999999999999999305999999303304305304305305304304304304303999999999999999999999999999298297298298297296296294293294295295295296296297297297298298298298298298298298298298298298299298298297298297297298298299299300301301301301302302300999999999999999999999999999999999999999999999999305308306999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293293294295291291291290290291291292293293294295295295296297297298299300300301300300299299300301299300300300300301301301300299298298297296296297299299298298299299299298297298300300299298297296293290999999999999285280279280280280279280280281281281281281280280280280281282282284286999999999999999294295294295294295999291292292292291292291292292292293292293293293294294295294295296295296296295296296296295295295295296296297297297298298299299300300300301301301300301300301300300300299299299298298299298299299299298298298298298298299300300300301300300301301301300300301301302302301302301302302302301301301301300300302302301301302302301301302302302301301304302302302304301302303303302301301302302302302302301301302302301300300300300300299300299300301300301301301301301300301300300300300300299300300300300300301302302301301301300300299300300300299299299299300299299299300298299298299298298299299299300300299299299300300300300300299299299300300300299299299300299299299299299300300299299300300300301301301301300301300301301301300300300300300300300299300300300299299299301300300298299299299300300299299300299300299299299299298300299299299299300300300301300302303301303302302302302301301301301300300300300300299301301300301300300300300301300300299301301302303302301301301302302300301302302302302302303302302302302302302302303302302302302302302301302303303303303303302302302302303304304304304303304304303303303304303303303303303303304303304304304303304304304306304304305305304304305305306306305305304305306306306305305305305305305305305305305305304305305305306306305305306306306305305306306306307306306306306306306306305305305306307307307308308307307307308306306306306307306307307308307306307307307307306306308307308306307306307308308307308309309309308307307307308308307307308308308308308308308308308309309310309309309308308308309309309309309309309309308309308308308 999999999999999999999999999999999999999999999999999999999999303304999999999303305305305305304303303303999999999999999999302999999298298298298297296295294294295295296296296297297297298298298298297298297298299298298299299298298297298297297298298298298300299300301302301299297999999999999999999999999999999999999999999999999999999999306999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293293291289289288289290290291292293294295295295296297297298299300301299298297298298298299298298299300300301301300300300298298296296296297299299298298298299299298297298299300299296295294292290999999999999279278279279279279280280280281281281280279280280280281281281282284285999999999999999293294293999999999999290292292292291292291292292293291292293293293294294295295295296295296296296296296296296295295296296296297297297298299299300300300300301301301301301301301300300300299299299298299299299299298298298298298298299298299300300300300300300300301301301301301301301302302301301301302302302303302302302301302302301302302302302302302303302302302303301301303303302302302303302302302302302303303302302301302302302301300300300301301301299300300300301300300302301301301300301300300299299300300300301302302301302300300300300300300300300299299299299299299299299299300299299300299299299299299299300300299299300300300299300300300300300300300299298300299298299299299300299299300300300300300300300301300300301300301301300301301300300299300300300299300299299300299301301300300300299299299300299299298300299300300299299300299299300300301300301300300300301301304302302301301302303302302301300300300299299301301300301301300301301300300301301301300301301301302302302302302303302302302302302302302302302302302302302302302303302302302302303303302302303303304303303303302302304303303304304304304304304303304304304303303303302303303304304304304303303304304304306304305304304304304305305307307307306305304304305305304305304305305305305305304305305305305305305306306306306305305306306305305305305306306308307306306307306306306305305306307307307308307308307308309309307307307308307307307307307307307307307307306307308308307308308307308308308308308309307307307307306307307307308308308308308308308308308308308309310310309309309309309309309309309309310309309309309309309309308 999999999999999999999999999999999999999999999999999999999999999302999999999304305307306306305304303303999999999999999999300999299299299299298297296295295295294294295295296296296297297298298298297298298298298298298299299298298298298299298298298299298298298300300302300299298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292291290290289289289290291292293294295296296296297298298299299301299296295296296297296296297299300300300300300300300299298296296296297297299299298298298298298296297299299298296294294999999999999999278277278279279279279280280280281281280279281281281281281281282283285285999999999999999294294999999999999999291290291292292292292292293293292293293293294294294295295295295296296296296296297297297296296296296296297297298298299300300300300301301302301301301301301301301300300299299299299299298299298297298298298298298298299299300300300300301301302302302301302302302302303302303303303303303304303302304303303302302302302303303303304304303303303302303302302303304304303303303303302302303302302303303303303302303302303302301302303301300300300300301301302302301301300300300300300300299299299300301301301301300299300300300300300301301301301300299299300299299299299299301300300299300301301301300300300300300301299299300300300300300300300300299300298298299300299299300300300300300301300300300300300301301301301301300300301301300301300300300300300299300300300299299300300299299300299299301301300301300299300301301301302300300300300300301301300300300300301304303304303302303302302302300301300300301302301301300300300300301301299300301301301301301301301302301301302302302301302302303302303303302302302301301303302302303303302302302304304303303303303303303303303303303303303303304304304305304304304304305304304303303304304304304304305304304304305305305305304305304305304305305306306306307305305306305304304305304305305305305305305305305305305305305305306306305306305305305304304304305305305306307306306306306306306305305307307307307307307307307307308308306307307308307307308308308307307307307307307307307308308307307308308308308308307307308307306307306306307307308308307308308308308308308308308309309308308309309308308308308309308309309309309308308308308308308 999999999999999999999999999999999999999999999999999999999999999301999999999305306305306305304304303303303301301301299299299299299298299299298297296295295294294294295295295296296296297297298297298298298298297298298297296296296296297297297297298298297297297298300300298300999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290290290289289289291291292293294295296296297297298299299299298999999999999295294295296298299299299298298298299299298296295294296296297297296296297297297295296297298296294291288999999999999276276277278279279279279279280280280280280280281281281281281281282282283999999999999999298296999999999999999999290290291291291291291291292292292292293292293293294294294294295295295295296297297297297296296296296296297298298298299300300301300301302302301301302301301301301301300300299299299298298298298298297297296298298298299299299299300300300301301301302302302302302301301302302303304304303303303303304303303302301304304303304304304304303304304304303303303303304305304304302302302302302302302303304303304303303303303303302301302300299300299300301300301301300300300300300300299299299299299300299301300300300300300300300299300301301299299299299299299299298299299300300300300301300301302301301301300301302300300300300300300300300300299298299298299299299299300299300299300299300300300300300300300300299300300299299299300300300300300300300299299299299299299299299299300299299299300298300299301299299299299301300302301300301299299300299300301300301300301303301302302302301300302301302301300301301301300300301300300300300300300300301301301301301301301301301301301302301301301301302302302302302301301301302302301302302302302303303302302302302302302302303303303303303302303303303304303303303303304304304304303303303304304303303304304304304304303305305304304304304305305306305305305306306305305305305305304304305305304305305305304305305305305305305305305306305305306305305304304304305305305306308307306306306306305305305306306307307307307307307306306308308307307307306307308307307307307307307307307307308308308307308308308307307307307307307306306306307307307307308308307307307307307308307307308308308308308308308308308308308308308308308309309308308309309308308 999999999999999999999999999999999999999999999999999999999999999999999999999304304304302303304304302301302302302300299299299298299999999999298298297296295294294294294295295296296297297297297297298298298298298297297297296294296296296297297297297297297297296298299300298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289289289289290290291293292294295296297297297297298297296297999999999999999999294295297297297297298297297297298298297295294294295295296295295295296296294294295296294291999999999999999999275276278278278278278279279279280280280280280280280281281281281282282283999999999999299299297297999999999999999290290291291291291291292292292292293293293294294294294294295295295295296296296297297296296296297296297297298298298299300300301301302301302301301301301301301301302302301300299299298298298298298297296298298298299299299299300300300300301302302302303302302302302302302302303303305305304304304305304303302304305304304303303306307307307305306303305303304306305306305303302303303303304303303304304304303302302303303303302301301301301301300301300300301300300301301300300299299299299299299300300300300300301300299299299300300300300299300299298298299298299299299299300301302302301301300301300301301301302300301301300301301301300300300300300299300300300301300299300299299300300300299299300300299299300300299299299300300299300299299300299300299298298299298299299300300299299299299300300299299300299301300301302302301300300299300300299302302300303302300301301300301301302300300301301300301302302301301301301301300300300300300300300301300301301301301301301301302301301301302301301301301301301301301301302301302304302302302301302302302303303302302302303303302303303303303303305304304304304304304303303303303304304304304304305305304304305305304305304304304305304304306306305306305305305305305305305304305305305304304304304304305305305305305305305304305305306305306305304304304306306306305307307306305305306305305307306306306307307307307306306307307307307307307306307307307307306307307307307307307307308308307307307308308307307306307307307306307307306308308308308307307307308307307309308308308308308308308308309308308309308308308308308309308308308309308308 999999999999999999999999999999999999999999999999999999999999999999999999999999306999999999303303301999301302301300300999999298999999999999299298297297296295294294294295296296296297297297297297297297297298297297296296296294294295296296297297297297298297297298299299299298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289289290290290291292292293294295296297296296296295295296999999999999999999999295296295999297296295295296296297297295293292293293293293293294294294294293293294292999999999999999999275275277278278278279279279279280280279280280281281280281281281281282283284999999999297298298999999999999999999289290290291291291292292291292292292293294294293293294294295295295296296296296296297297297297297297297297298298298299300300300301302303302302302302301302302303302302303301301300299298298298298298297297297297298298299299299299300300301302302302302303303303303302303303303303304304305305304304304304304303303304305305306306306305307306307306305304304304304304307306304303303304304304303305305304305304304304303304301303302301301302301300301300301301300301302301299300299300300299299299299301301301301301298298299299300300299299299299299298298299298298299299300300300301301301301300301300301300301302301302302301301301301301301301301301300300300300300299299299300299300299299299299299299299299299299300299299299299299299299299299299299299298298298299299299299299299300299300300299300300300299299300301301302299299300301300300300301300302301302301301301300301301300301301300299300302302301300301301301301300299300301300300300300300301301301301301302301301301301301301301302301301301301301301301302302302303302302302302302302302302302302302302302303303303303304304304304304304304305305304304304304304304304304304304305305305305304304306304305305305304304304304304304305304305305304304305304305304305305305304304305304306305305305305305305305305305305306305306305304304305306306305306306306305306306304305306307306306307307307306306306306305306307306307306306306306306306307307307307307307307308308307307308308308308306306306308307306307306307307307308307308308307307307307308309308308307307308308308308308308308308308307308308308308308308308308308 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301301299301301301300299999301300300300999999299298297297296296294294294294295296296296296297296297297297297297297297296295295295294294295295296296296297297297297298299299299297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289290290290291291292293294295295295295294295294293999999999999999999999999999999999999999999999999999999999294292291290292293292291291291292292292290290290999999999999999999275275276277278278278278278279279280279279280280280280280281281281282282284286287999293296296999999999999999999291290290290290291291291292292292292292293294294294294294295295296296296297296296297297297297297297297297297298299300299300300301301302302302303303302302302302303302302301301301300298298298298297298298297297297298299299299299300300300302301302302303303303303303302302302303304304305304305304305304304305305304306307306306306306307306306307304304304307308307306306306305303303303305306305305306305305305305305304302301303301302302302301301302302301301300300301301300298299300299299299299299300300300300299298298298299300299300299298298299298298298298299299299300300301301301300300300300300301300300301301302301301301301301301300301300300300300299300299300299299299299299299299298299299299298299299299299299299299299299299299299299298299299298297298299299298299299299299300299299301300299301300299299299300301301300300301301304301299301300300302301302301301300298299300300300299300300301301301301302301301301300300300300300300300300301300301300301301301301300301301301301300301300300301301301301300300301302302302301303302302302302302302303302303303303302304304304304304303304305305305304303304304304305304304305305305305304305304304305304304305304304304304304303304304305305306305304304304304304305306305305304305306306305305305305305305305305305305306305305305305305305307307307306306306306306305304305305306306306306306306305305305307306306307306307306306306307306306306307307307307307308307308307307307307307307307307308307307306307306307307308307307308308308308308307308308309308308308308308308308308308308308308308308308308308308308308309308 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300300299999300300299299300300999300300300999298298298298297296295295294294295296296296296297296297297297297296297297296295295295295295295295295296296296296297297299298298297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297295294999999999999999289290290290290291291291292293293295295295999295295295999999999999999999999999999999999999999999999999999999999999999999291999999999999999999999999293292292999999999999999999999276275277278278278279278279279279279280280280280281280281281281281281282283283285285286999295294999999999999294293292291291290290291291291291292292292292293293294294294295296296296297297297297297297297297297297297298297298298300300301300301302302303303303303304304303303302302302302301301301300299299298298298298298297297298298299299299300300300301301302302302303304303303303303303302304303302304305304304305304305305305305306308304305305305306305305307306304304306308308307309307305306305304304305305304306305305305304305304303303302302302302303302302302302302301301300300300300300301299300299300299299299300300299299298298299298299299299298298299299299300300298299299299300301301301300300300299300300301300301301301301301301301300300300300300301301299300299299299300300299299300299299299298298298299298299298298298298299299299299298299299299298298299298298298299299299299299300299300300300300300299299300299299300301300301301301300301302303302300300299299301300301301301302300299300300300300301301302302302302302301302301301301301300300300300301301301301301301302300300300301300300300301301301302302302301301301301303302302302303302303302303302303303303302303303303303303304303303303305304304304304303303304304305305305305304304304304304303304304305304305303303303304305304305305305306305305305305305305305306306306305305306305305305305305305304305305306305305306305304304304306306307307306306306306306306305306305305306306306306306306306305306307306307307307307307306306307306307307307307307307308308307307308307307307307307307306307307307307306306307307307307308308308308308308307308308308308308307307307308308308308308308308308308308309309308308308309308 999999999999999999999999999999999999999999999999999999999999999999999999999999300300300999999300300299999300300301301302301301300300300300299299299299298298297295295295295296296296296297297297297297297297297296296295295295295295295295296296296296297298297297298299296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294293293293292292291291291291290291291291290291291291292293294295294294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999277276278279279278279279279279279280280280280280281281281281281281281282282283283284285285999999999999999999293292292292291290290291291291292292292292293293293293294294295295296296296296296296296296297297297297297297298298298299300301301301302302303304303303303304305304304303302303302301301301301300299299299299299298298299299298299299300301301301301301302302302303304304303303303303303304303304304305305304304305305305305306305305306306307306307306305307306306303306309308309309308304304306308307306305305306306306305304304305305304303303303303302302302303301302302301301300300300301301301300299299300300298299299299299299298299299299299299298299300299300298298299299299300299300300300300300300301300300300301301302301302302302301300301300300300300300300300300300300300299299299299299299299298298298298299299298298298298298299298299300299298298298298298298298298299299300299299299299301300300301302301301300300300301301301301301301302300301302302301301302299302302302301301301301300300299301301301303303303302301302302302301301302301301300301300300300301301300301301301300301301300301300301302301302302301301301301301302301302303303303303303302303303303303303303303303303303303303303303303304304304304304304304305305305305305304304304304305304305304305304304304303304304304305306304305306305305305305305305306305306306306306306305306305305305305305305305306306306306306305305305305305306307306307305306305306306305306306307307306306306307306306306307307307307306307307306306307307307307307307308308308308308307307307307307306306307308307307307306306307306307307308307307308309308308308308308308308308308307307308308308308308308308308308308309309309308309308308 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299298297299300299300301301301301300299299300299298298299299298298297296295295294295295295295296296296296296295296295295294294294294294295295294295295296296297297297298298297296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294293292292291291291291291291291290290290290290290290291293294294295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999276278279279280279279279279279280279280280280280280281281281281281281281282282283284284999999999999999999999999292292292290290290290290291291292292292292292292293294294295295296296296295296296296298297297297297297297297298298298299299301301301302302302303303304304306306304304303303301301301302301301300299299299298297298298298299299299300301301300301302301301302303305306305303303303303303304304304304304305305305306305305305305306306306306308304306305305306305304306308308307307308304306305302305306304305302304306305306304304302303303303303303303302302302302301301300301300300300301301300297298299299298298298299299299300299299299299298298298299299299300299300298298299299299300300300301300300300300300301301301301301301301301301301300300300299300300300300300300299299299299299298297299299298297297298298298298298297298298298298298298298298298298298297297297297297297297298298299300301299299299300300301300300300300301301300300299300300301301301300302300299300300301302301301300299300301301301302302303302302302302301302302301301301301300300300300300300301300300301300299300300301301300300302301302302302301301300301301302301302302302303303303303304304303303303303303303303303304303303304304305303303303304304304305304305304305304304305304304303304304303303304303305304304305303304305305305306305305304305306305305305305306305305305305305305305305305305305306305306305305305305306305305306305305305305304305305305305306306306306306306306306306306307307306306306307307307306306307307307306307307307307307307307307307307306306307307307307307306306306307306306306307308308308308307308307308307308308308307307307307308308308308308308308308308308308309308308308308 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297999999300300300300300301301301301299299299299298298298298298298298296295295294295295295295295295295295295295295294293293293293292293294294294295295294296296296296297297297297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291292294292291291292291291290291290290290290290290290290292293294294294293999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999276279281280280280280279279279279279280280280280280281281281281281281281281282282283284284999999999999999999999999999999999290290290290290291291292292292292293293293293294294295296296295296297297297298297297297297297297297297298298298299300301301302301302302303303303304305305304303303301301301301301301300299299299298298298298298299299299300300300302303302302302303304306306305303303303303303303303303302304306304304305306307307305306306305305307304305304305305305304306306309307307306307307305304304305304303303304305305304304304300302302302302302303303301301300300299300301301300300300301301298298299298298298298298299298298298298298298298297297298298298298298298298298298298299300300300300300301300300300301300301300301301301301301301300300300300300300299299300299299299299299298298298298297298297297297297297298298297297298298298298297297297297297297297296296296296297297298298299299300299299299300301300299299300299300300300300300300300302300300301299297298298299301302300299301300301303302301301302303303303303302302302302301301300300300300300301301300300300300300300301301299300300301301301301302302301302301301301301301302302302302303303303304304303303303303304303304303303304304304304304303304304304304304304305305305304304304304304303303303304303304304304303303304304303304305305305304305305304304304304305305305305306305306306306305305306305305305305305305305306305305305306306305305305304305305305305306305306306306305306306306306306306307307307307306306306307307307306307307307307307307307307307307307306306306306306307307307307307307307307307307307307307308308308308308308307307308308308307307307307308307308308308308308308309308308308308308308308308 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298999999999299300301302302302301300299299298299299298298298298298297295295294294295295295295294295295295295294293293292292293292293293294294295295295295296296296296297297297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291291291292291292291291290290290290291291290290290291292293294294293999999999999297297296296297999999999999294293292292292291999290289289288288288288288288288288287999999999999999999999999999999999999999283281282282281281280280280279280280280280280280280280281281281281281281282282282283284285285285999999999293290999999999999999999290289290290291291291292291292292293293293294295295296296296297297299298299298297298297298298298298298298300299301301302302302303303303303303304304303303302302301301301301301301300300299299299299299299299299300300301301301302303303302303303304304306304303302303302302303303304304303304305304306308306306305306308306305306304303305305305306305307306304305305305307306304303305303302303303303305305304303302303301302303302302303302302301301300300301301302301302302303302299300299299299299298299298299297297298298298298297298298298298298299298299299299300299300300300300301300300301301300300300301301301301301301301301301301301301300300300300299300299299299298298298298298297297297297297296297297297297298297297297297297297297297297297296297297296297298298299299299299299300300300299299299299300300301301300299299300302302300301298299299298299299299301301300301301301301301302302302303303303304304303303303303301301301301301300301301301300300300301300301300300301301301301302301301301301301301301301301302302303303303303303304305304303304303304303303304304305304304304304304305304304304304304305305305305305305305304304303303303303304304304303304304304304303304305305304305305304305304304305305305305306306306306306306306306305305305306306305306306306306305307307307305305305305305305305305306306306306306306306306306306306307307306307307306306307307307306306307307307307307308308308308308307307306307307306307307307307307308307307307308308307307308308308308308308308308308308308307308307308308307308308308308308309309308309308308308308308308 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299298999999999999999300301301301301301301299299299298298298297297298297297296295294294293293294294294294294294293293293293292292292292293294294294295295295296295295295296297296297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290290291292291291291291291290290290291291291291291291291293293294294293999999999999297298297297297296295295294293292291291290289289289289289289289289289288289289289288287999999999999999999999999282282282283283283282281281280280280280280280280280280280280280280281281281281281281282282282283284284285287291999999292291289288288288999999288289290290290290290291291290290291292293293294295296295296298298298297297298297297297297298298298299299300301301301301302302303303303303303303304305302302302301301301301301300300300299299299299299299299299299300300301301302303305305304305305306305305303304302304303303304304305306304307306306305305306305306305304307306304304303305306306306304305305303303303302303303303304304304303303303305303304302302304303302302302301301301303302302301300300301302301302302303300300300299299300299298299299299298297297298298297297298298298298298298298298298299299300300300300300300300300300300300300300301301301300301301301301301300300300300300300300300300300299298299299298297297297297297297297297297297297297297297297297296296296297297297297297296297297297298298299298299298298299299298299299298299299300300300299298300299301302301301300299298299299299299300300301301302302301301302302303302303303304303304304303303302302301301301300301303301301301301300301301301300300301302301301301301301301301300302302301301302302303303304303304304304304304304304304303304304304304304304304305304305304305304305305305305305305305305304304303303304304304305303303303303303303304304304304304304304304304304305305305305305306306306306306306306305305305305305305305305306306306306306306306304306306306306306306305306306306306306306306306305305305306306306307307306306307306306306306307307307307307307307308308308308307306307306306306307307307307307307307307307307307307307308308308308307308308308308308308308307307307307308307308308308309309309309309308308308308308 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301302302301301301300300299298298298297297297297297296296295294293293293293293293293293293292292292292292291292293294294294295295295295295295295296296296296297297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289291291291291291291291291291291291291292291291291292292293293294297293999999999295297297297298298297296295293293292292291290290290289289290290289290289290289289290289288288287287286286286286285284283283283282282282280280280280280280280280280280280280280280280280281281281281281282282282283284286286286289999999290290290289288287288288288289290290290290290290290290290290291292293294295295295296298298297298297297296296297297298298298299300300303302301301302302303303302303303303303303303304303302302301301301300300300300300300300300300300300301301302302303303304305306306306306305306305306305304304304303303304305306306306305305304304304305303304307304303303302305306306306307307304305305305305304302305305304304304302303302305304303303303302302301302301302303301302302302302301301301301301301300301300300300299299299298297299299299298297298298298297297297297297298298298298299299299299299299299300300301300300300301300300300300300301300300300301301301301300300300300300300300300300299298299298298298298297297297297296296296297296297297297296297297296296297297297297297297298297298298298299298298298298299299299300300300300300300299299299298300299301302300299300300299301300299299300300302301302302301301301302303303303304305304303303303303302302302302301301301301301301301301300300301300302302301302301302301301301300301301301300302302302303303304304304304305305305304304304304304304303304304305305305305305304304305305306306305305305305305305304304304304304304304304303303303303303304304304304304304303304304304305305305305305306306307306306306306306305305305305305305305305306306305305306306306304305306307306306306306306307306306306306307306306305305306306307308306306305306306306307307307308308307306307307308308308308308307307307307307307307307307307308308308307308307307307307307308307308308308308308309309308308308308308308308308308308309309309309308308308308308308 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301302302301300300299298298297298297297297297297297296294294293293293293292293293292292292291291291290290291291293293294294294295295294295295294295296296296298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290291291291290291291291291291291291291292292292293293293294295295298999999999296296297297298299298297296296295294294293292292291291292292292292292292292292292292291291291290289288288287286285284284282282281281280280280280280281281281281281280280280280280280280281281280281281281282282282282283285286286286999999290291291291289289289289289288289290290290290289289289289290290290292293294294294295296297297298298297297297297298298299299300301301302304302303302303304304304304303302302302302303303302301302301301301301301300302301300301301301301301302302303304305306305307308307307307306306305306304304304304304303304306306306305304304303303304301303305304305304305305305306306306306305304304304304303303304304303303303302302301303303304302301301300300301301301302304302301300301301302302301300300301299300300300299299299298298299298298298297298298297297297297297298298298299299299299299299300301299299300300300300300300300300300300300300301300300300301300300300300300301300300299300299299298298298298297297297297297296296296296296296296296297296296296296296297297297298297297298299299298298298296296297298297299299299299300299300301300300298298299299302299300301300299300297300299299298299301302301300302302302302302302303304305304304303303303303303302302301302301301301301302301300300302302302301301302302303302302302301300301301302302302303303303303304304305305305305305305304304304304305304305305305306305305304305305305306305305305305305305305305305305305304303305305305304304304304305306305305305305304304305305305305306306306306306307307307307306306306306306305305305306306305305306306306307307306306307307306306307307306307307306307307307307306307306306307307307307308307306307307308308307308307307308308308308309309308308308307307307307308307307308307308308308308308308308308308308308308308308308309309309309309309308308308308309308309309309309309309308309308307308308 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301302301301300300300298297297297297297297296296296296295294293293292291292291292291291291290290290289290290291292292292293294294294294294294294295294295297296298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292292291291291290290291291291291292292292293294294294295296297295298295999999297296297299298298298298297296296295295295294294294294294294295295295295294294294294293293292292291289288287285284283281280279279279279279280281281281281281281281281280281280280280280281281281281281281281281281281284285286287287999999291290290290290289289289289289289289290289289289288288288288288289291291292294293293294295295296297297296297297298299300300301301303303303303303303302302303303302301302301301301301301300300301301302301301301302302301301301302302302302302303304305306307306306308307307307306307305306305304303304304304304307306307305304303302302302305305304304305305305305305304304304305305304304303303303303302302302302300301301301303300303301301301301300299300304302302301300300300301301302301301302299301300300300300300299299299298297297298297297297297297297297297297297298299299299298299299299299299300300300299299299299299300300299299299300300299299300299300299300300300300299299299298299298298298297297297297296296296296295295296295296296296296295295295296296297297297297296297298298297296296296296297297298298299299299298299299299299300299299299300300300299300300299298299298298299300300300302301301302302302303302304302304303304304304304304303303302302302301302302302301301302301301301301303302302303302302302302301301300301301302302302303303303303304304305305306305305305304305304304304304304305305306306306306305305306306306305305305305305305305305304305305305306305304306305306306306305305305305306305304304305306306305306306307307307307307307306306306306306305305306305306306305306305306308307308308308308306306307307307307307306307306307307307307307307307307308309309308308308308308308308308307308308308308309309308308309308307307307307308308308308308309307307309308308309308308308308308308308308309309309309309309309309309309309309309309309310310310309309308308309309