2021 9 30 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 61 62 64 64 63 62 63 63 62 62 61 61 62 60 57 55 52 51 52 55 54 54 55 55 55 54 54 52 52 51 51 51 50 51 51 52 52 51 51 52 51 51 52 54 56 56 55 55 56 58 58 59 61 64 65 66 67 67 68 68 69 70 75 75 75 76 74 77 77999999999999999999999999999999999999999999999999999999999999999999999 75 76 75 74 77 71 69 68 68 70 76999999999 79 80 81 81 81 82 83 82 82 81 81999999999 75 75 75 75 75 75 74 74 74 71 70 70 69 67 71 72 71 71 73 73 75 76 76 75 74 74 74 74 73 72 72 71 68 68 68 69 70999 73 75 76 78 79 79 80 82 82 83 83 83 82 81 80 80 80 79 79 79 79 80 81 81 81 82 83 84 85 85 86 87 88 88 88 88 88 88 88 88 88 88 88 87 87 87 86 87 87 87 87 88 87 87 87 87 87 87 89 89 88 87 87 86 86 86 87 87 88 88 89 89 89 90 90 91 90 90 90 90 89 90 91 90 91 90 89 88 88 87 87 87 87 86 87 87 87 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 55 57 59 60 60 61 62 63 61 62 65 62 62 62 61 60 56 54 50 48 48 49 51 54 55 55 54 54 54 54 53 53 52 52 51 50 51 52 51 50 49 49 49 50 50 52 54 56 57 57 58 59 60 60 62 63 65 66 67 69 70 70 70 70 71 75 74 74 74 75 77999999999999999999999999999999999999999999999999999999999999999999 79 79 76 77 78 77 77 72 70 69 69 70 75999999 79 79 80 81 81 81 81 81 81 81 80999999 77 76 76 75 74 76 78 78 76 77 76 76 75 74 74 75 76 75 75 76 77 77 79 79 79 79 79 80 79 79 79 78 78 78 74 72 71 71 71 74 75 77 79 80 81 81 82 83 84 84 84 83 82 82 82 83 83 82 83 83 83 85 85 85 86 86 86 86 86 87 87 87 88 89 89 88 88 87 87 87 87 87 87 87 88 87 87 86 87 88 88 88 88 88 88 87 87 88 88 88 88 88 86 87 87 87 88 87 88 88 89 90 91 90 90 90 90 91 90 90 89 90 91 88 89 89 89 87 86 86 86 86 86 86 86 85 85 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 79 78999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 53 57 60 61 61 61 61 60 60 62 64 61 61 61 64 63 59 57 51 48 46 45 49 51 53 53 54 54 54 54 55 54 54 52 52 52 51 51 50 50 50 50 50 51 51 52 53 55 56 57 58 61 62 63 64 65 67 68 69 71 72 72 71 70 70 75 74 73 73999999999999999999999999999999999999999999999999999999999999999999 80 81 81 80 79 79 79 78 78 77 74 71 70 71 74 78 78 77 75 76 76 77 79 79 79 78 78 78 78 77 77 77 76 77 78 79 81 80 80 80 78 79 79 79 80 81 81 81 81 81 80 78 78 78 78 79 80 81 81 81 82 83 82 81 80 78 76 74 75 76 77 78 80 82 83 83 84 84 85 85 83 83 84 84 85 85 85 85 85 86 86 86 86 86 86 88 88 88 88 88 88 87 88 89 89 88 88 87 87 87 87 87 87 86 87 87 87 87 88 87 88 88 88 88 88 88 89 89 89 88 87 88 88 88 88 87 87 86 88 89 90 91 90 90 91 90 90 90 91 90 90 89 89 88 88 87 86 85 84 84 85 86 85 85 86 85 84 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 77 75 73 73 73 72 72 72 71 72 74 75999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 63 61 63 67 66 66 65 64 62 62 62 62 61 62 63 64 58 55 55 51 43 44 46 49 52 53 52 53 53 54 54 54 54 53 51 51 51 53 51 51 51 50 51 51 51 52 54 55 57 59 61 63 63 65 66 67 70 71 71 72 73 72 70 70 69 73 74999999999999999999999999999999999999999999999999999999999999999999999999999 81 81 80 80 79 78 78 78 76 74 72 71 69 72 74 73 71 69 69 69 70 73 76 77 78 79 78 78 77 77 78 78 79 81 82 82 81 82 81 82 82 83 83 83 84 83 84 84 84 83 80 78 77 77 79 80 81 81 81 82 83 83 83 81 80 79 78 77 77 78 80 82 82 84 85 85 85 85 84 83 83 85 86 86 86 87 87 87 88 88 88 88 88 87 88 88 88 89 88 87 87 89 89 89 87 87 87 87 86 87 87 87 86 87 87 87 87 87 87 89 90 89 90 90 90 89 88 89 89 89 89 90 88 87 87 88 89 91 91 91 91 91 91 91 92 92 90 89 89 89 88 87 87 86 84 84 84 83 84 84 85 83 84 85 84 83 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 78 74 73 71 70 70 72 71 71 71 71 71 73 75 76999999999 73 72 72 72 73 73999999999999999999999999999999999999999999999999999999999999999999999999999999 50 67 72 70 69 72 70 71 70 69 67 65 64 63 62 62 61 56 54 52 49 43 44 47 49 50 53 54 56 57 56 52 53 54 51 52 52 52 51 50 50 50 50 52 53 53 54 55 58 61 62 63 65 65 68 68 69 70 71 71 71 72 71 70 71999999999999999999999999999999999999999999999999999999999999999999999999999999 84 84 84 83 82 81 78 78 76 77 75 74 73 72 71 73 72 71 69 69 66 67 67 69 71 72 75 78 79 79 80 80 80 81 82 83 84 84 84 85 84 85 85 85 85 85 85 85 85 85 85 85 82 79 78 79 80 81 82 82 81 82 83 82 82 82 82 82 82 81 82 82 82 84 84 85 86 86 86 86 85 85 86 86 87 88 88 88 89 88 89 89 89 90 89 89 88 88 88 89 88 88 88 88 87 87 87 86 86 85 85 85 85 87 87 87 87 86 86 86 87 88 89 89 89 90 90 89 89 88 88 88 89 89 89 90 90 91 93 93 92 92 92 91 91 91 91 90 90 91 88 88 87 87 86 84 83 83 83 83 83 82 83 82 83 83 83 84 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 76 75999999999999999999999999999999999999999999999999999999999999999 83 82 80 75 78 74 73 70 69 68 69 67 67 66 66 67 68 65 66 68 72 72 72 72 72 72 72 73 74 75999999999999999999999999999999999999999999999999999999999999999999999999 50 69 51999999999999999999 75 74 72 68 66 64 63 60 58 54 51 48 45 45 47 50 51 53 56 57 57 56 55 53 53 53 53 53 52 51 50 50 50 52 53 55 55 55 58 61 64 66 68 68 67 68 70 69 69 68 70 73 72 71 70999999999999999999999999999999999999999999999999999999999999999999999999999999999 84 85 84 83 82 81 78 76 75 74 73 74 74 72 72 70 70 70 69 69 68 69 70 73 75 77 78 79 80 81 81 82 83 83 85 85 86 86 86 86 85 85 85 84 84 84 84 84 84 85 85 86 86 83 80 80 81 82 83 83 83 83 82 82 83 85 85 85 85 85 84 84 84 84 85 85 85 86 86 87 87 87 87 87 88 88 88 88 88 88 89 89 89 89 89 89 89 89 89 89 89 88 88 87 87 86 86 85 84 84 84 84 85 87 87 86 87 87 86 86 86 87 88 88 88 88 88 88 88 89 88 88 88 89 89 91 92 92 93 93 92 92 92 92 93 92 91 90 90 89 88 89 87 87 86 84 84 83 83 82 82 81 82 82 83 84 83 83 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 99999999999 96 96 95 95 95 94 93 92 92 92 91 89 90 91 90 89 86 85 84 85 86 86 84999999999999 73 73 73 73 71 71 71 70999999999999999999999 74 72 72 73 72 72999999999 84 84 75 74 76 74 70 68 68 67 66 65 65 63 63 62 61 60 60 61 66 69 71 69 70 70 71 73 73 73999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 81 75 72 65 64 60 59 57 54 50 46 45 44 47 51 53 55 56 57 57 56 57 52 51 52 53 54 52 52 51 52 55 54 59 58 58 59 61 63 66 67 71 72 71 69 69 69 69 70 70 71 73 74999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 84 84 83 82 80 77 75 74 76 76 76 76 71 69 69 69 68 68 69 70 71 75 75 79 80 82 82 82 82 82 83 84 85 86 86 87 86 86 85 85 85 84 83 81 81 82 82 82 83 84 84 86 84 81 80 81 81 81 81 81 81 82 83 84 85 86 86 85 86 85 85 85 85 85 86 87 87 88 87 89 89 88 87 87 87 87 87 88 89 89 89 89 90 89 90 90 89 89 89 88 88 88 87 85 85 85 83 84 84 85 85 85 86 86 87 87 88 87 87 87 87 88 88 88 88 88 88 88 88 88 88 88 89 90 91 92 92 91 92 93 94 93 93 93 93 92 92 91 90 89 89 88 87 86 86 85 85 84 83 83 84 84 83 84 84 83 84 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999103 99 98 98 98 98 98 96 96 95 94 94 93 92 92 93 93 93 92 91 90 88 87 85 83 80 78 78 80 82 84 83999999999999 71 72 72 73 70 70 68 68 69 74 69 73 72 72 72 72 70 69 69 68 67 70999 70 69 70 73 73 72 69 67 66 66 66 66 66 64 63 62 62 62 60 58 58 60 66 70 70 68 69 70 69 70 70 73 70 82 88 89999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 75 70 65 57 56 56 56 55 51 47 46 47 51 53 55 56 57 57 57 58 54 52 53 53 53 51 52 53 52 53 55 58 61 63 62 63 65 66 67 68 68 68 69 69 68 67 69 70 70999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 87 88 86 86 85 84 82 80 79 79 79 83 79 81 80 74 69 68 68 69 73 75 77 79 80 80 82 83 83 82 83 84 84 85 85 87 87 87 87 86 86 85 84 83 86 81 80 80 79 80 81 82 84 84 84 83 82 81 80 80 79 80 81 82 83 84 85 86 85 85 85 84 85 85 84 85 86 87 88 88 88 88 87 87 88 87 87 87 87 88 88 87 89 90 90 90 89 89 88 88 88 88 86 86 85 85 85 85 84 84 84 84 84 85 85 86 87 87 87 86 87 87 87 88 88 88 87 87 88 89 88 89 88 88 88 88 90 90 91 91 92 95 94 93 93 93 93 92 92 92 91 88 88 88 87 86 85 85 84 84 84 83 83 83 83 84 84 84 84 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 98 98 99100100 99 98 98 97 96 95 93 93 93 91 91 90 91 93 94 94 94 93 90 88 84 83 84 83 81 80 79 79 81 81 80 78 75 73 72 72 72 72 72 73 74 73 72 73 72 72 72 72 72 72 70 68 67 67 66 66 68 67 68 68 67 67 67 66 64 62 61 61 60 60 59 59 59 58 57 57 58 57 56 57 58 60 62 61 65 69 72 82 80 77 64 68 83999999999999999999999999999999999999 58 57 56 57 57999999999999999 53 52 53 54 52 58 58 63 65 68 62 57 53 52 51 51 52 50 51 51 54 55 57 57 58 59 58 57 59 54 53 53 53 52 53 54 54 54 55 58 60 62 64 66 66 65 65 66 67 69 68 68 70 68 68 70999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 90 87 87 87 87 86 85 84 84 84 82 81 81 83999999 72 70 68 69 72 76 77 80 81 81 82 84 83 83 84 85 86 86 87 88 88 88 87 88 87 86 86 85 83 82 80 79 79 79 78 79 81 83 83 83 85 84 83 83 82 82 83 83 82 83 83 84 85 85 84 83 84 85 84 84 84 85 86 87 88 88 87 87 88 87 87 87 88 88 88 88 88 88 90 90 89 89 88 88 88 87 86 86 85 86 86 86 85 84 84 84 85 85 86 86 87 87 87 87 87 88 88 88 88 88 87 87 87 88 88 89 88 86 87 87 88 88 90 91 92 92 93 93 93 93 92 92 92 92 91 91 91 89 89 87 87 87 86 85 86 86 86 86 85 85 86 85 86 86 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 98 98 98 99 99 99 98 97 96 95 94 94 93 92 93 95 95 94 94 93 92 91 91 90 89 88 87 87 86 88 87 83 81 80 80 81 81 79 79 78 77 76 75 75 75 75 76 77 76 75 76 75 76 76 76 76 74 72 70 69 69 68 67 66 65 65 65 65 64 64 62 60 59 58 58 58 57 55 55 55 55 54 53 55 55 47 48 49 48 48 49999999999999999999999999999999999999999999999999999999 56 56 54 54 54 56 56 55 56 54 53 53 52 53 53 55 58 59 59 60 64 62 58 57 53 48 45 44 44 46 48 51 55 55 56 57 59 59 59 58 57 57 55 55 54 55 54 55 56 57 59 61 61 61 63 65 66 67 68 66 68 70 70 70 72 72 73 76999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999100 92 91 90 88 87 87 87 86 86 85 83999999999999999999 68 68 71 76 80 81 82 83 85 85 85 86 86 86 86 86 86 87 88 88 88 88 89 88 87 86 86 84 83 82 81 80 80 80 81 82 82 83 84 85 85 85 85 84 84 83 81 81 82 82 82 83 83 83 83 83 85 85 85 85 86 86 86 87 87 88 88 89 88 88 88 88 88 88 88 89 89 89 89 89 88 88 87 87 86 86 86 85 86 86 86 85 85 86 86 87 87 87 87 87 87 87 87 87 88 88 88 88 87 87 88 88 88 88 87 87 87 87 88 89 90 89 90 91 91 91 93 92 91 91 91 91 91 91 91 91 91 90 88 88 88 89 89 88 87 87 88 88 88 87 88 88 88 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 98 98 98 98 97 97 98 98 98 98 97 97 96 95 95 96 98 99 99 99100 98 96 93 91 90 88 90 91 92 91 90 89 87 86 84 84 83 85 85 85 84 82 83 82 81 81 82 82 82 83 83 83 81 79 78 79 78 75 73 71 70 69 69 68 68 67 65 63 62 61 61 61 60 59 59 60 60 58 56 54 53 53 52 51 51 51 51 50 49 49 47 47 45999999999999999999999999 53 55 55 56 55999999999 56 55 54 53 52 54 54 55 55 55 54 54 53 53 54 57 59 59 59 57 57 53 47 43 41 40 39 40 40 43 45 50 51 56 57 57 60 62 64 60 58 60 58 57 56 55 55 56 57 58 60 62 63 62 62 63 65 66 68 67 69 71 71 73 74 73 72 80 77999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 91 91 91 90 89 89 89 89 91 91999999999999999999999999 71 72 76 79 82 83 85 86 86 87 86 86 86 87 88 87 88 88 89 89 89 89 89 89 88 87 86 85 84 83 83 83 82 82 83 83 83 84 84 83 84 83 83 83 82 81 81 81 82 82 83 82 82 82 82 83 85 85 86 86 86 86 87 87 89 88 89 88 88 89 88 88 88 88 90 90 89 88 88 88 88 87 87 87 87 86 87 87 86 86 86 87 87 87 87 87 87 87 87 87 87 88 88 89 89 90 90 90 90 90 89 89 88 88 87 88 88 88 88 90 90 90 89 91 91 91 91 89 90 89 91 91 91 91 91 91 91 91 91 90 89 89 89 89 88 88 88 88 89 89 89 90 90 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 98 97 97 97 97 99101103103103101 99 97 98 99100102104105104104104103102 99 96 94 94 94 94 93 92 92 90 88 89 89 90 89 89 89 90 89 89 91 91 91 92 91 90 91 90 90 90 88 85 81 79 78 78 76 73 71 70 70 69 68 66 64 63 63 62 62 61 61 60 60 60 60 58 57 55 53 52 52 52 52 53 52 51 50 48 47 47 46 48 49999 50 50 50 51 53 53 54 54 53 56 55 57 57 55 52 51 51 52 52 51 50 52 51 50 49 49 51 53 53 53 52 50 48 44 38 36 38 36 37 42 42 43 45 50 55 60 61 62 63 65 64 60 58 60 60 58 56 57 57 59 59 60 61 62 62 62 62 63 67 66 66 67 71 71 71 74 74 75 73 79999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 93 92 92 92 92 90 90 90 90 93 94999999999999999999 69 67 69 73 77 81 83 85 86 87 86 86 86 87 88 88 87 88 88 88 89 89 90 90 90 89 90 89 88 87 86 85 84 84 84 84 84 84 84 85 85 84 84 84 84 84 83 83 83 82 82 83 83 84 83 83 83 83 83 84 85 85 85 86 87 87 88 88 89 89 89 89 88 88 88 88 89 89 89 89 88 88 88 88 88 88 88 88 87 87 87 87 87 87 87 87 87 87 87 87 88 88 90 91 91 91 91 91 92 91 92 91 91 91 91 90 89 90 89 89 90 90 90 91 91 91 90 91 90 90 90 90 90 90 91 91 91 90 91 90 90 90 91 91 90 90 88 88 88 88 88 89 90 91 91 92 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 98 97 96 96 96 97 98100101102103102101100100102104106107108108108107106106105103103101100100 98 97 96 96 95 94 95 96 97 95 96 95 94 94 94 96 97 97 98 98 98 98 97 96 95 94 91 87 84 83 83 85 83 78 77 75 76 71 67 64 63 64 63 63 62 61 61 60 61 61 61 60 58 56 56 55 55 55 56 55 53 52 51 49 48 48 49 50 51 51 51 51 51 52 52 52 52 52 53 52 53 52 52 54 53 53 51 52 51 51 49 47 46 44 45 45 44 41 40 39 38 39 42 40 41 41 43 44 46 47 51 56 60 63 65 66 65 67 65 62 59 60 59 60 59 59 60 60 62 60 60 61 62 63 62 63 64 67 65 67 69 71 73 74 77 78 79 79999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 91 92 93 93 93 93 92 91 92 91 91 91999999999 70 72 73 71 73 74 78 81 84 85 86 86 86 87 87 86 87 87 88 88 88 88 88 89 89 90 90 90 90 89 89 89 89 88 87 85 85 85 85 85 85 85 85 85 85 85 85 85 85 85 85 84 84 84 84 84 84 84 84 84 84 84 86 85 86 86 86 86 87 87 88 89 89 89 89 89 89 89 89 89 89 89 89 88 89 89 88 88 88 88 88 87 87 86 87 87 87 87 88 87 87 87 87 88 90 90 91 92 92 92 92 92 91 91 91 91 92 91 91 92 91 90 90 90 90 90 90 91 92 92 92 92 91 91 92 90 90 90 90 91 91 90 90 89 90 90 90 91 91 91 90 89 88 87 88 89 91 91 92 93 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 99 98 96 95 95 94 94 96 98101103103102102102103106107108109109109109108107106105105104102102101101100 99 99 99100 98 97 99 98 99101101100101101102104104102102102101102 99 96 96 95 94 92 91 90 89 86 84 82 80 78 75 68 67 67 66 66 64 64 64 64 65 66 64 63 62 59 59 58 58 58 58 56 55 54 53 52 51 51 52 52 52 51 51 51 51 51 51 51 52 53 53 53 50 50 51 54 54 53 53 53 50 47 46 44 43 41 39 39 36 34 33 33 35 41 42 42 44 45 44 46 50 53 57 62 65 68 68 67 66 66 61 59 58 57 57 59 61 62 63 62 60 59 60 62 63 64 63 64 65 65 66 68 69 72 76 79 77 80 83999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 93 92 93 94 95 95 93 92 92 92 92 90 89999 78 75 70 71 74 78 80 81 83 85 85 86 85 85 86 86 87 86 87 87 87 87 87 87 88 88 89 89 90 90 91 91 91 90 90 89 88 88 86 87 86 87 87 86 86 86 87 86 86 87 87 87 87 86 86 85 89 86 86 86 87 86 86 87 87 87 88 88 88 88 88 87 88 89 89 90 90 89 89 89 90 90 89 89 89 89 88 90 89 89 88 88 88 88 88 87 87 87 87 87 88 88 88 88 88 91 91 91 92 92 92 92 92 92 92 92 92 92 91 92 92 91 91 91 91 91 90 91 91 91 92 92 92 92 92 92 91 90 90 90 90 89 89 89 89 89 90 89 89 90 91 91 90 90 88 87 89 90 91 91 92 94 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999101101100 98 96 94 93 93 94 97100102104104104104105107109110110110111111111110109107108108108107105103102102102102104104104103103102103103103104105105106107108106104104104104102100 98 98 98 96 95 91 91 92 92 88 84 83 81 78 76 76 71 69 68 69 68 68 69 71 68 66 65 64 63 62 63 63 63 62 61 58 57 55 55 53 53 53 53 51 51 51 51 50 49 48 49 50 49 49 48 48 51 53 53 50 48 48 47 49 48 46 47 43 45 44 40 40 39 45 41 43 42 43 44 43 43 48 50 53 60 65 68 70 70 67 67 63 61 57 59 58 60 60 60 61 60 62 62 64 65 66 66 64 63 64 67 67 71 72 72 74 80 81 79999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 94 94 93 93 94 95 96 96 94 93 93 93 92 87 84 81 77 76 73 75 76 81 83 83 85 85 85 85 86 86 85 86 87 87 87 87 87 87 87 87 87 88 88 88 89 91 91 92 91 90 90 90 89 89 88 88 88 88 88 88 88 88 88 88 88 88 88 87 87 87 88 89 89 90 90 89 89 87 87 87 88 87 87 87 88 88 88 88 88 89 90 90 90 90 90 90 90 90 90 90 89 89 88 90 90 90 90 89 89 89 88 87 87 87 87 87 87 87 87 88 89 90 90 92 92 91 91 92 92 92 93 93 93 93 92 92 92 92 91 91 91 90 91 91 90 91 91 91 92 92 92 91 92 92 92 91 90 90 90 89 89 89 89 90 90 90 91 91 91 90 89 88 89 89 91 92 92 94 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999101101100100100100 98 97 95 94 94 96100103104105106107107108109111112112112113113113113112112112112112111110108105103102102103103104105105105105104104105105105105105105106107107105104105105104103103101101101 98 96 96 96 93 89 87 84 84 84 85 81 77 75 76 76 75 76 77 76 70 68 70 68 69 71 72 69 67 67 69 65 61 59 56 55 54 53 52 52 52 51 49 49 48 48 50 50 49 49 49 50 52 52 51 49 48 50 56 62 62 59 56 60 68 66 61 63 65 66 68 66 66 67 66 55 51 53 60 65 69 71 72 72 71 69 66 63 61 60 61 60 58 57 59 59 60 62 67 68 67 65 66 65 66 68 72 74 75 76 77 81999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 96 95 94 95 94 94 94 94 93 93 91 87 84 83 80 80 79 78 77 79 80 83 84 84 84 84 84 86 86 86 86 86 87 88 88 87 87 86 86 86 86 86 87 87 88 90 91 92 92 91 91 91 90 90 90 89 89 89 89 89 89 89 89 89 89 89 89 89 89 88 88 89 89 89 89 91 91 91 91 91 90 90 89 89 88 88 89 89 89 89 90 90 90 91 91 90 90 91 91 90 90 90 90 90 90 90 90 90 90 90 88 87 87 87 87 87 87 88 88 88 89 90 90 91 92 91 91 91 91 92 93 94 94 94 93 93 92 93 93 94 93 91 90 91 91 91 90 91 92 91 92 93 93 93 92 92 91 91 91 91 90 90 90 91 90 91 90 92 92 91 90 90 90 90 91 92 93 94 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999102101101100 99 99 98 97 96 96 97 98102105106107107109110111112113114115115115115115115115115115114114114112111108106104104103104103104105106106106106105104104105104105105104105107106105104103104103103102102101 99 99 97 97 96 95 93 91 89 88 90 88 84 81 82 83 85 86 86 85 84 79 77 75 77 79 81 78 75 74 73 71 66 68 64 60 57 56 55 54 53 53 53 52 51 52 53 52 52 51 51 53 55 55 55 54 56 58 63 68 71 68 70 73 77 74 69 71 75 79 80 78 77 77 75 71 65 62 66 69 71 72 72 71 72 68 66 64 61 59 58 56 55 53 51 56 59 60 60 68 67 67 69 69 70 72 76 78 78 78 80999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 96 96 95 94 95 95 95 95 94 93 92 89 86 83 82 79 79 80 80 81 83 84 83 84 84 84 84 85 85 86 87 87 87 86 86 86 86 86 86 87 87 86 86 87 88 90 91 92 93 93 91 91 91 91 91 92 91 91 90 90 90 90 90 89 89 89 89 89 90 89 90 90 89 89 89 90 90 91 92 91 90 91 90 89 89 91 91 89 89 90 90 90 91 91 91 91 91 92 92 92 92 92 92 92 91 91 92 91 91 91 91 91 90 89 90 89 88 88 89 89 89 90 90 90 91 91 92 92 92 93 93 93 94 94 94 95 93 94 94 93 94 94 92 90 91 91 91 90 91 92 92 93 92 92 92 92 92 93 92 91 91 91 91 91 91 90 90 90 92 92 92 92 92 91 92 92 93 93 94 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999104103102102100100 99100 98 99 98 98 99102105108109110111112113114115115115115116116116117117117117117117116115114113111110109107107107107108108109109109109107106105105104104105105105107106105104105105105104103103102101101100 99 98 97 95 96 96 95 96 94 89 87 88 91 94 93 93 89 89 87 85 84 86 86 85 84 80 80 81 82 80 77 72 69 66 61 58 56 55 55 55 54 55 55 54 53 52 52 53 54 57 61 61 57 58 65 67 70 77 79 79 80 83 82 80 79 82 81 81 79 77 76 75 75 73 69 72 72 72 71 71 71 71 68 66 64 63 59 56 53 51 51 56 53 55 58 59 65 67 68 70 71 73 77 78 81999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 96 96 97 97 96 95 95 96 96 94 92 92 89 86 83 82 80 80 81 80 81 83 83 83 84 84 83 84 84 86 88 89 89 87 85 84 84 84 84 85 86 87 87 88 88 89 91 93 93 94 93 93 92 92 92 92 92 93 94 93 91 91 91 90 90 90 90 90 90 90 90 90 90 90 90 91 91 91 92 92 91 91 91 91 91 90 90 92 89 90 91 91 91 91 92 91 92 92 93 93 93 93 93 93 93 93 92 94 93 93 93 92 92 92 91 91 90 90 90 90 90 90 90 91 92 92 93 93 93 93 93 93 94 94 94 95 94 93 94 93 93 94 93 92 92 91 91 92 92 92 92 93 94 94 93 93 92 92 92 92 91 91 90 91 91 90 90 90 91 92 92 92 92 92 92 92 91 93 94 94 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999103103103102100100101101101101102102103105107109110110112112113114114115115115116116117117118118118118118118118118116115114114114113113113114114113112113112111110109108106105104106106106107107107107107107106106105104105104103103102101101100 99 99 97 98 97 97 96 96 98 98 95 94 93 91 89 90 91 93 92 91 91 90 88 87 88 86 83 78 74 74 70 66 62 59 59 58 57 56 56 57 56 56 54 55 56 60 65 70 70 69 69 70 72 78 81 83 83 84 82 83 87 87 81 78 77 76 75 72 75 74 72 71 71 71 70 69 69 68 67 65 63 61 58 55 54 54 52 51 53 54 56 60 64 69 71 72 74 78 80999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 97 98 98 98 97 96 96 97 96 95 93 92 92 90 88 86 85 83 82 82 83 83 84 84 83 84 85 85 86 88 90 89 87 84 82 81 81 81 82 83 85 87 87 88 90 92 94 95 96 95 94 93 93 93 93 93 93 94 94 93 93 93 92 91 91 91 91 91 91 91 91 90 91 90 92 92 91 91 92 92 92 92 93 92 93 92 93 92 93 90 91 91 92 92 92 92 92 93 94 94 93 93 93 94 94 94 94 93 92 93 94 94 93 93 92 92 93 92 93 92 92 92 93 93 94 95 94 94 94 94 94 94 94 94 93 94 93 93 93 93 93 93 93 92 92 92 92 93 93 93 93 93 93 93 93 93 93 92 92 92 91 91 90 90 90 90 91 92 92 93 92 91 92 92 92 93 93 93 93 93 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999104103102101100100101102103104104105106108109110111112112113113114115116116116117117117118119119119119119119119119117116116116115116117117117117116116115115113112110109107105106108108108109109109110109108108107106106107107106105104103102102101101101101101100101100100 99 98 96 97 96 96 95 96 96 95 95 93 93 92 92 93 91 88 83 80 78 75 71 67 65 64 62 61 59 60 59 63 64 61 63 66 72 77 80 79 77 80 80 81 81 83 84 85 85 83 83 85 86 79 77 77 77 80 79 77 74 73 71 71 73 69 70 69 68 66 64 62 59 56 55 54 53 53 54 56 56 57 59 63 67 69 72 74999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 99 99100 99 98 98 98 97 97 96 95 94 93 93 92 89 88 87 85 84 83 83 84 84 83 84 86 88 90 91 90 89 86 83 82 81 81 82 82 84 87 88 89 90 93 94 96 96 96 96 95 94 94 94 94 94 94 94 94 94 93 92 91 92 92 91 91 91 91 92 92 92 92 93 93 93 92 92 92 93 93 93 93 93 92 92 93 92 93 93 93 91 92 92 92 93 93 94 94 94 94 94 94 94 94 94 94 94 93 93 94 94 93 93 92 93 94 94 94 94 94 94 94 94 94 96 96 95 95 94 94 95 95 95 95 94 94 93 93 94 94 93 93 93 92 92 92 93 92 93 93 94 93 94 94 94 93 93 93 92 91 91 91 91 91 91 92 92 93 93 92 91 91 92 92 92 92 92 92 93 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999104104102 98 96 96 98 99101103104105106107109110111112113114116115116117117117117117117118119120119119120120120120119118116117117116117117118118118117116116114113112111111110107109110109109110110110111111110110108108107107107107106105104102104105105103102102102102101100 99 99100101101100 97 98 98 98 97 95 96 96 97 97 96 92 87 84 78 76 73 71 69 69 68 67 65 66 69 72 72 72 73 76 82 83 85 85 87 88 89 88 85 85 84 84 85 83 83 85 84 84 84 82 80 79 77 75 71 72 71 76 73 71 70 68 68 65 62 62 58 56 53 53 53 51 54 56 56999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 99 98 99 99100100 99 97 97 97 96 95 95 95 93 91 89 89 87 85 84 83 83 84 84 87 90 91 92 92 92 90 88 86 84 83 82 83 85 86 87 89 90 93 95 96 97 97 97 96 97 96 95 95 94 94 93 93 93 93 93 91 91 91 91 92 91 91 91 92 92 92 92 94 94 94 94 93 92 93 94 93 93 93 92 92 92 92 92 93 93 93 94 94 95 94 93 95 96 96 96 95 95 94 94 94 94 94 94 93 94 95 95 94 94 94 94 94 95 97 95 96 94 95 96 96 96 95 95 95 96 96 95 96 95 94 93 93 93 93 93 93 94 93 92 92 93 93 93 93 94 94 94 95 95 94 94 93 93 93 93 92 92 92 92 92 93 93 93 93 93 92 92 92 93 93 93 93 93 93 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999107103 98 91 90 91 93 97 98101103104105107108109111113115116117118118118119119119118119120121121120119120120121121121120119119119118119119120119118117117115114113113112112111110112111110109109110111111111112111110109109109108108109105104105105105104104104103103102102101101102102103102102102101102100 99100 99100100101100 98 96 91 84 79 76 73 73 74 73 73 72 73 78 81 80 80 85 84 87 88 88 87 88 91 92 89 89 85 84 85 84 83 83 85 85 85 82 83 83 79 76 74 72 69 71 71 72 72 68 66 66 65 64 62 58 53 57 57 59 60 59 61 61999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 97 98 99 99999999999999 99 98 97 97 97 95 93 89 88 88 85 84 84 84 85 87 90 93 94 94 94 93 92 91 89 88 87 86 87 87 88 89 91 93 95 96 97 97 97 97 97 96 96 97 96 95 94 93 93 92 92 91 91 91 91 91 91 91 91 91 92 93 93 93 93 95 95 95 94 93 93 93 94 93 94 93 93 94 93 94 93 93 94 94 94 94 95 95 96 96 96 96 97 97 97 96 97 95 94 95 95 94 95 95 95 95 94 95 95 97 97 95 96 96 96 97 96 97 96 96 96 96 96 96 95 95 95 93 93 93 92 93 94 94 92 92 92 92 93 94 94 94 94 94 95 95 95 94 94 94 93 93 93 93 93 94 94 94 94 94 94 94 94 94 93 94 94 94 94 94 94 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999114113109106104101 93 88 88 89 91 94 96 98100102104106109111112114115116116117118119120120120119120121121122122121120120121122122122121121120120120119120119118118117116115114114112113112113112110109109110111111111111112112111111110110110110108107107107105105103103103103102102102103103103103102102103102102102102102101101100100 99 98 98 96 93 90 88 86 84 81 78 78 79 78 80 83 87 89 90 92 93 94 92 91 90 89 90 90 88 88 87 80 82 85 83 84 84 84 84 83 84 80 77 76 74 71 73 70 72 72 71 68 66 66 63 62 60 58999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999104999999999999999999999 97 97 95 93 90 88 86 85 84 84 85 87 89 93 95 95 95 95 94 93 93 91 91 90 89 90 90 91 92 93 94 95 96 97 97 97 97 97 96 97 98 98 97 96 95 94 94 93 92 92 92 91 91 92 91 91 91 92 93 94 93 94 94 95 95 95 94 94 94 94 93 95 94 94 94 95 95 94 93 93 94 94 94 95 95 96 97 97 97 97 97 97 97 97 97 96 95 95 95 94 95 96 96 95 95 96 97 97 95 96 95 97 96 97 97 97 97 96 97 97 96 95 96 95 95 94 94 93 92 93 93 92 92 91 92 93 93 93 94 95 96 96 95 95 94 94 94 93 94 94 94 95 95 94 94 95 95 94 95 94 94 94 94 94 94 94 94 94 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999108108108109107105102 97 90 88 88 88 90 93 94 97 98100103106109111112114116116117118118118120121120121121121121121121121121122122123123122121121121121120120119118118118117116116116115114113113113112111110110112111112111111111112112112111112112110109109109108106105105103103103103103103103103103102103102102101101101101102102101100 98 96 96 96 96 94 93 90 89 89 88 84 82 82 82 84 87 89 91 93 94 93 93 91 91 90 89 88 85 85 84 86 84 82 83 83 84 84 85 84 80 79 78 76 75 72 71 71 69 68 67 67 66 66 65 64 62 60 60 65999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 95 96 95 92 90 88 86 84 84 85 87 89 92 95 95 95 95 95 95 94 94 94 93 92 92 92 92 92 94 95 95 96 96 96 97 97 97 97 97 98 99 99 99 98 97 97 95 95 94 93 91 91 91 91 92 93 93 94 94 94 94 95 94 96 96 96 94 94 94 94 94 94 95 95 94 95 95 95 94 94 95 95 95 95 95 96 97 97 97 98 99 98 97 98 99 97 98 98 95 96 96 95 95 96 96 96 96 96 96 96 96 96 97 97 97 98 97 96 97 97 97 97 97 96 94 94 93 94 94 93 93 93 93 92 92 93 93 93 94 95 95 95 94 94 94 94 94 93 93 94 95 95 96 95 95 95 95 95 95 95 95 94 95 94 94 95 95 94 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999106106106105107106104103102100 95 93 93 94 95 97 99100100102105108109113115117118118118119119120120121121121121121121121121121122122123123122122122122122121120119118118118117116116116115115114115115114113112114114113113112112113112113113113113113111110108109108107106105105105104104103103103104103102102102102101102102102101102101101 99 98 97 96 95 94 95 94 93 94 93 88 85 85 89 91 92 94 95 94 93 93 92 90 89 89 87 87 84 83 84 86 84 82 82 81 81 80 81 81 79 78 77 75 72 70 70 69 70 69 67 66 65 64 65 62 61 61 62 65 68999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 94 94 94 93 91 89 88 85 84 86 87 88 90 93 95 96 95 95 95 95 95 95 94 94 94 93 93 94 94 95 95 96 96 96 96 96 95 96 97 98 99 99 99100 99 99 99 98 97 95 95 94 93 92 93 93 93 93 94 95 95 96 96 96 96 96 97 96 95 94 94 94 94 94 95 95 95 95 95 95 95 96 95 96 96 97 97 97 98 99 99 99 99 98 99 99 98 98 98 97 96 96 96 96 96 97 96 97 97 96 97 96 97 97 97 96 97 97 96 97 97 96 95 96 96 95 94 93 93 94 93 93 92 92 92 91 91 92 93 93 94 94 94 94 93 93 94 93 94 94 94 95 95 95 95 95 96 96 96 95 95 95 95 95 95 95 94 94 95 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999104104103104103102103103105108110110107108106101 98 98101103103102105108109113114116118119120120120120121121120121121121120121121122122123123123123123122122121120120119118117117116116116116116116115116116115116115114114114113113113113114114114114114113113112111111111109108108108108108106106105105105105105104103103102103103103102102101101 99 99 99 99 96 98 98 99 99 99 97 95 91 94 95 95 95 95 92 95 92 92 89 89 88 87 85 83 82 82 83 84 83 84 82 81 80 79 78 76 75 75 74 72 70 70 71 70 69 68 68 67 67 66 67 63 62 61 63 65 68999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 96 94 94 93 92 91 90 89 88 87 86 87 88 89 91 93 94 95 94 94 94 94 95 95 95 94 94 94 95 95 95 96 96 96 96 96 96 96 96 97 98 99100100100101101100100 98 98 98 99 98 97 96 95 95 95 95 95 95 95 95 95 95 95 96 96 97 95 94 94 94 94 95 96 95 95 96 96 95 96 96 96 96 96 97 98 99 99100100 99 99 99 99 99 99 99 97 97 96 96 96 96 96 96 97 96 96 96 97 98 98 98 97 97 97 98 98 98 95 97 97 95 95 94 94 94 93 93 93 92 92 92 93 92 92 93 93 93 93 93 93 94 93 93 93 93 93 94 94 95 95 95 95 96 96 96 95 95 95 95 94 94 95 95 96 95 95 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999102102102101102101102102104108112116117116116113106103104105105105105107109111113115117118119120121122122122123122122121121121121121122122123123123123123122122120121120119119118117117117116117116117116116116116117116115115113113114114115114115115115115115115114114113110109109109110110110110109107107107107107106104103102104104103102102102101100 99 99 99 99100100100100100 99 98 95 95 99 99 99 97 96 92 90 88 89 89 88 86 84 81 81 81 83 82 82 84 83 82 81 76 78 77 76 74 73 71 70 71 71 69 67 67 67 68 70 68 65 62 60 62 63 69 69999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 96 95 94 93 93 92 92 90 89 89 87 87 88 89 90 91 92 94 94 94 94 94 95 96 97 96 96 96 96 96 96 96 96 97 97 97 96 96 96 96 97 98100100100101102101101101101101101102101100100100 99 99 99 97 96 96 95 96 96 95 96 96 96 95 95 94 94 94 94 96 96 95 96 96 96 97 97 97 97 97 97 98 99100100100100 99 99 99100 99 99 98 97 97 96 96 96 96 96 96 97 97 97 97 98 98 98 97 96 97 99 98 97 96 97 96 95 95 94 93 93 93 93 92 93 92 93 93 93 93 93 93 93 93 93 93 93 93 93 93 93 94 94 94 94 95 95 95 95 96 96 96 96 95 95 94 94 95 95 95 95 95 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999101102101101101100100 99101102102102103110116119120119118115112108106108108108108110111112113116118117119119120122122122122121121122121121121121121122122121121121122121121120120118119118118118118117117116117117117116117117118117117116116116116116116116116116116116117117116115114114112112112112113111112112111111109109108108107105106107105104102102102101101101100100100100100100102102102101101101100 99 97 96 93 94 91 88 89 88 86 85 83 81 83 81 82 83 84 83 83 83 81 80 77 76 75 73 73 71 70 70 69 69 69 69 69 69 68 67 63 62 62 66 71 76999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 99 96 95 94 94 93 93 93 92 91 91 89 90 91 91 91 92 92 94 93 93 94 94 96 97 96 97 97 97 97 97 97 97 97 97 98 98 98 98 98 98 98 99100100101101101101101101102103102102102101100100101100100100 99 98 97 96 96 96 96 96 95 96 95 95 94 94 95 95 96 96 96 97 96 97 97 97 97 97 98 99 99100100100100100 99 99 99 98 98 98 97 97 96 96 96 97 96 96 97 97 97 98 97 98 97 97 97 96 96 95 95 96 96 95 94 95 94 93 94 93 94 94 94 94 94 94 94 96 94 93 93 93 93 93 93 92 93 93 94 94 94 95 95 95 95 95 95 95 96 95 95 95 94 95 95 95 95 95 95 95 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999102101100 99 99 98 98 99104108109109108108111116120121121119116116112110110112112112113114115116116117116117119119120120120119120121122121121121121121121121122121121121121121120119118118118118118118117117116117117117117117117118118118118118118118118117117117117117117117117116116116116116114116114114114114113113112111110110110110109109108107105103102102102103101101100100100100103103103103103103102102101100 97 95 93 89 88 88 89 88 84 85 84 85 86 84 84 82 80 79 78 78 77 76 74 74 75 75 72 71 70 69 70 72 72 72 70 67 63 63 63 65 70 76999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 96 96 94 94 94 94 94 93 93 93 92 92 93 92 93 93 94 95 93 94 94 95 96 97 97 97 97 97 97 97 97 98 99 98 99 99 99 99 99 99 99 99100100101102101101102102102103102103102101100100100101 99100 99 98 97 97 97 96 96 97 96 96 96 95 95 95 95 96 96 96 96 96 96 97 97 97 97 98 99100101101101101101 99 99 99 99 98 97 99 98 97 97 96 97 97 96 96 97 97 99 98 97 97 97 97 96 95 95 95 95 95 95 94 95 95 95 95 96 95 94 94 94 95 95 96 95 95 94 94 94 94 94 93 95 93 93 94 94 94 94 93 95 95 95 95 96 96 96 96 96 96 95 94 95 96 96 96 96 96 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999100101100 98 96 96 99102106109113114113113111112114118120122122122121118115114115114115118119120120119119118115114111111112113113114117120121122122122122122121121121120121121121119118118118118118117117117116117117117117118118118118118118118118119119119117118118118118118118118118117118117118117115115114115114114112112112111112111111110110107107106105105105105104102100101101104104104104104104103103103103102101 96 94 93 89 88 88 90 89 89 90 88 88 87 87 85 83 82 80 79 78 77 78 76 75 75 73 72 71 71 72 73 74 72 72 69 66 63 61 62 64999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 98 98 97 95 95 96 95 94 94 93 93 94 93 94 95 95 95 95 95 95 95 96 97 97 98 97 97 97 97 97 97 97 98 98 98 98 99 99 99100100100100101101101101101102102103103102102103101100101101101100100100 98 97 97 96 96 97 97 97 96 96 95 95 96 96 96 96 95 96 96 96 97 97 97 98100100 99100101100100100 99 99 99 99 99 99 98 98 98 97 98 98 98 98 97 97 98 98 97 97 97 97 98 97 97 95 95 96 96 97 95 96 97 97 97 96 96 96 95 96 95 96 96 96 96 95 95 96 95 94 94 94 93 93 93 94 94 94 94 94 95 95 96 96 96 96 96 95 95 95 95 96 95 96 96 96 96 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999103101101 99 97 95 94 95 97102105108110113115114114113114115117119122122122122120119118117118119121121122120120120119116112111110113111109110113115119121121122121121121121120120121120120120118118118117117117117116116117117117117117117118118118119119118118118118118119119119119119119119120119118118118118117116114115114114113112111112112111110111110111109108109108107106103102103105105104105105105105104104103102102101 99 96 92 91 89 90 92 91 92 91 90 90 89 89 88 86 85 84 82 81 82 80 81 79 78 77 75 73 72 75 77 77 76 74 70 66 63 61 60 62999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 98 98 98 97 97 97 96 96 95 94 93 93 94 95 96 96 97 97 96 96 96 96 97 98 98 98 97 98 97 98 98 98 98 98 98 98 99 99100100101102102102102102102103102102103102103103101100100100101101101101100 99 98 97 96 96 97 97 97 96 96 96 95 95 96 96 96 96 96 97 97 98 99 98100101101100100100100 99 99 99 99 99 97 95 97 98 98 97 97 96 96 97 97 97 97 97 97 97 97 97 97 97 97 96 96 96 96 97 97 97 97 97 98 98 98 98 98 98 98 97 97 96 97 97 97 96 96 96 96 95 94 94 94 94 94 93 94 93 93 94 95 95 96 97 97 95 95 95 95 95 95 95 96 96 96 96 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999104103100 97 93 92 93 95 97 99 99101106110112114116117118118119120121122121120120120120120119119121122122122121119118117116114111109108106112108108113118121121121120119118117118119119119119119119117117116116116116116116116117117117117118117118118118118118117118119119119120120120120119119119118117119118117118116116116115114114113112112111113111110111111109109109108105109109108106106106106106104105105105104103102101101 97 94 93 91 92 91 91 91 90 91 91 91 91 91 90 87 86 85 83 83 85 84 83 82 79 78 76 77 78 78 80 78 76 73 69 65 66 65999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 99 99 99 98 97 97 96 96 96 95 95 94 94 95 96 97 98 97 97 97 96 97 97 98 98 98 98 97 98 99 99 99 99 99 98 99 99 99100101102102102102102102101102102103102101102102101100100101101101101102101100 98 98 98 98 98 97 96 96 96 96 96 96 96 97 97 97 98 99 99100100100101100101101100100 99 99 99 98 99 98 97 98 97 97 96 97 97 97 97 97 98 96 97 96 96 97 97 96 97 97 97 97 97 96 97 97 97 97 98 98 99 99 99 98 98 98 98 98 98 97 97 97 97 97 97 97 96 96 95 95 94 94 94 95 96 94 94 95 95 95 95 95 95 96 95 96 95 95 95 95 96 96 96 96 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999106104101 96 90 90 92 93 95 96100101101105110112114117120120121120120121121120120120121121121120120120121122123121118117116117115110109109106103105109113119121121121120119116115115117117118118118118117116116115115115115115116116117117117117117118118118117118118119119119119119120120120119120120119118117116116117117117115113113113113112112110111111110108109109109110110110109109109107107105105104104105106106105103103104102 98 94 93 91 92 92 92 92 92 92 91 91 91 92 91 89 88 86 86 86 87 86 85 84 81 82 82 83 84 83 79 78 75 71 68 69999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 98 98 98 98 98 98 97 97 96 95 94 94 94 95 96 97 98 98 98 97 97 97 97 98 98 98 98 99 99100100100100 99 99 98 98 99101102102102102101101101100101101101101101100101102101101101100101101101101101100100 99 99 99 97 96 96 96 97 96 97 98 98 98 98 99 99 99 99 99101101101100100100100100 99 99 98 98 97 97 97 97 97 96 97 97 97 97 97 96 96 96 96 96 95 95 96 97 98 97 97 96 97 97 98 97 97 97 98 99 99 99 99 99 98 98 98 98 98 98 98 98 97 97 97 96 96 96 96 95 95 95 96 96 95 95 96 95 95 95 95 94 95 95 95 95 94 95 96 95 96 96 97 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999105104104102 99 89 86 87 88 89 88 92 99100101104108110114116118119120120120119119119118119120120120120120120121121121121120118116115113111108108109108110112115119120120119118117116115114114116116117117117118117117117116116115115116116116116116117117117117118119119118119120120120119119119119118119118118117116115117115115115114114114113113112112111111110111110110110109109108107108106107107107105104104104106108107106105105105104100 97 93 93 93 93 93 93 93 92 93 92 94 92 92 90 91 89 87 87 88 87 86 86 85 85 86 85 84 83 79 78 74 69 68999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 99 99 99 98 97 96 94 94 95 95 95 97 98 98 98 99 98 97 97 99 99 99 99 99100100100100100100100100 99 99101102102101101101101101101101101101101101101101101102102101101101100101100100100100100100 98 96 96 96 97 97 98 99 99100 99 99 98 99 99 99100100100100100 99 99 99 99 99 98 97 97 97 97 97 96 96 95 97 97 97 96 96 96 96 95 94 95 95 96 96 96 97 96 96 96 96 96 97 97 98 98 98 98 98 99 99 98 98 98 98 97 98 98 99 98 97 97 96 97 97 97 96 96 96 96 95 95 96 96 95 95 95 95 95 95 95 94 95 95 95 96 96 96 96 96 97 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999103101101102100 94 87 83 81 83 85 87 90 96 99101102105109112115116118119119118117116116117117117117119120120120120120120118118117116115114113111109107106105110113115117118117115114113112111110112114116116116117117117118117116116116116116116116116116116116117118118119119120120120120120119119118118118117117116116116116115116114114114113113112112112112111111110110110110109109108107108108108108108107107108108109108108106105104104104101 96 95 94 94 94 94 93 93 93 94 94 93 93 94 92 93 90 89 87 88 88 87 86 86 86 85 83 81 80 79 75 71 69999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999100101101 99 97 94 91 90 91 91 94 95 97 98 98 98 98 98 98 99 99 99 99100100100100100100101101101100 99101102102101101102102102102102102101101101101101101101101100101101100100 99100100100 99 98 97 97 97 97 97 99100100 99 99 99 99 99100 99100100100 99 99 99 99 99 99 98 99 98 98 98 97 97 97 97 97 98 98 98 97 96 96 96 95 95 95 95 95 96 94 97 96 97 96 96 96 95 97 97 97 98 98 98 98 99 99 99 98 97 96 97 97 98 99 99 98 97 97 97 96 96 97 97 96 95 95 96 96 95 96 96 95 95 94 94 94 94 94 95 96 95 96 95 95 96 96 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 98 98 98 98 95 89 86 81 80 82 85 88 92 96 99100101102107109112115117118117116115114115116116115115117118118119118119118117116116116115114114112110105101 99 99102106112115113109106105105104106107111113114114114114114115116116117116116116116116117117116116116117117117118119120120120119119119118117117117116117117116117116115115114114114113112112112112111110110110110111110110108108109109110109109109110109108109107108105103103103103101 99 96 94 95 96 96 94 94 95 95 95 95 94 94 93 93 92 89 88 86 85 88 86 86 86 83 81 79 80 77 74 72 72999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999101102102100 98 95 92 92 90 91 92 96 97 97 98 99 99 99 98 99 99100100100100100101101101101100100100 99100102103102102103102103103103102102101101101101101101101100100100100100101101101100 99 98 98 97 98 98 98 99 99 98 99 98 98 99 99 99 99 99 99100100 98 99 99 99 99 99 99 99 98 98 98 98 98 99 98 99 98 98 97 98 98 97 96 96 96 97 96 96 96 96 96 97 96 97 97 96 97 97 96 96 98 99 98 98 98 98 97 97 96 97 97 98 98 98 98 97 97 96 96 96 96 97 95 95 96 96 96 95 96 96 96 96 95 95 95 94 95 95 96 94 95 95 95 96 95 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999105 99 97 96 94 91 89 88 86 83 82 80 79 85 90 93 96 98 99102105107110113116116116116115114114113114113114116117118117117118116115114114114115115115112108100 99100 98 97101108110106102100100100101102104106110111111111112113113114116117115114115114114114115116116117116116117118119119119119119118118118117117117117117117116115115115114114115114113113113113113111110108110110110111111111110109108109109109109108107106106106107104103103100100 98 96 95 96 98 98 98 97 96 96 95 96 96 95 94 92 92 90 90 87 87 87 87 86 86 85 82 79 77 78 77 76 72 72999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999102101100 98 96 96 96 95 95 96 98 98 98 99 99 99 98 98 99 99100100100100100100 99 99 98100101100 99101102103103103103104104103102103102103103102101101101101100100101100102101100100100100 99 99 98 98 97 97 97 99 98 98 98 99 99100100100 99100 99 99100 99 99 99 99 99 99 99 98 98 98 98 98 98 98 99 99 99100 99 99 99 98 98 98 98 97 97 97 96 97 97 97 97 97 97 97 96 98 97 98 98 97 97 98 97 96 97 97 97 97 98 98 98 98 97 95 95 95 94 95 96 96 96 97 95 95 97 96 96 96 96 96 95 95 94 95 95 94 94 95 95 95 95 95 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999110105100 96 91 88 87 88 88 88 87 87 87 86 88 91 92 95 96 97100103107110114115116115115114114113113113113113114115115116115115115114115115115116116115112107101 99 98 99 99102105104100 99 99 99 99100102104106108109110110111112112113115117118116115114113113114114115116117117118119119118119119119119118118118118118116115116115115114114114114115114112111111112112112111111111112111112111111110111111111109108108107106106105106105103103101 99 99 97 96 97 97 97 98 96 97 96 97 97 96 96 95 95 95 94 91 89 90 89 88 89 88 86 84 80 77 77 79 80 76 79999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999101101100 98 98 98 98 97 98 98 99 99 99 99 99 99 99100100100100100100100100 99 99 98 98 98 98 99 98101102103103104104104103102101101102102103103102102101101101101101102102101101101102101100100 99 99 98 98 98 98 99 98 99 99 99 99100 99100100 99100100 99 99 99 99 99 99100100 98 98 98 98 98 98 99 99100100100100100100100100100100 99 99 97 98 98 98 98 97 97 97 96 96 97 96 98 97 97 97 97 96 97 98 97 98 98 98 98 98 98 97 96 97 96 95 95 95 96 96 94 96 96 97 96 96 97 96 95 95 95 94 95 97 94 94 94 94 95 95 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999109106103 97 93 89 87 88 88 88 89 91 92 93 93 95 95 95 96 99101104106109111113113114114113113112111111111112112112113114115116116117116114115115116115114111107103100100101100 99 98 98 98 99 99 99 99100102107108110110108108111115115116117119121120119117114114113114115116117117118118119119119119118118118118118117117115115114114114113113113113112112111111111111111112111111112112111112111111110111111110110108108107105105105105105104103103101100 98 98 98 98 97 98 99 98 98 97 99 98 97 97 97 96 94 91 91 91 90 90 91 89 87 85 84 81 79 78 80 81 92999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999103104104104104999999999999999101100101 99 99 99 99 99100100100100100100 99100100100100100100100100100100101100 99 99 98 98 98 98 97 98101102103104104103103102102102102102102103103102101102101100101102102102102102102101100100 99 99 99 97 98 98 98 98 99 99 99 99100101102101100100 99 99 99 99100100100100 99100100 99 99100100100 99101102102101100100100100101100100101100100 99 99 99 99 98 99 97 98 98 96 96 97 97 96 97 97 97 98 99 98 98 99 99 98 98 97 98 98 98 96 95 95 96 95 96 95 95 95 97 97 95 96 95 96 95 94 95 95 94 93 93 94 94 93 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999103106106103100 96 94 93 92 91 90 89 88 92 95 98101101 99101104106107109110112111111112112112111111112112111111111112113114115116117117117117117117117117115114110108105103102101100 98 97 98 99100101100100102105107108107105102102106109109112115118120120121118114114116117116117117117117118119119118118117118117116116115115114113113113113114113113112112111111111112112111111112112112111112111111112111111110110110109109108107106107106105105104104102101101100100 99 99 98 99 97 99 97 97 97 97 95 94 95 93 92 92 92 91 90 89 88 86 85 83 82 78 78 79 77999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999102101103104104104103102999999999101101101100 99 99 99 99100101101101100100100100100101101101100100101102102102101100 98 98 98 98 98 97 97 98 99101101102102103102102102101102102103103103104103102101102102102102102101102102101100 99 99 99 98 99 99 98 99 99100101101100101101102101100100100100 99100 99100100100100100100 99100100 99100100101101101101101100101101100101101101100 99100100100100 99 98 98 98 98 97 97 97 96 94 95 95 95 97 98 97 98 98 97 98 98 97 98 97 97 96 96 96 96 96 97 97 97 96 95 95 96 96 96 95 95 96 94 95 94 92 93 94 94 94 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999104100102104104102101 98 97 95 94 93 91 89 90 93 95 99102103105108110110111112112112112111111111111111112112112113113114114115116116117119119119118118118118117116113112111109107105102100 99 99 99100101102102103104104102 98 93 89 88 97 98 96 94100111113117118119119116114116118118117117117117118119119119118117117117116115114113112112111111113113114113113113112112112111112112112112113113112112112112112111111112111110111110109108108107107105106105106105104103103102102101100 99 99 99 99 99 98 96 97 94 96 95 93 94 95 93 90 89 86 83 83 80 78 74 74 81 75999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999103102105105105104104102102102102101101100 99100 99100101102102102101101101101101100101101101100101102103103102101100 98 98 98 98 99 99100100100101101101101102101102102102102102103103103103104103103102102102102102102101101101100100 99 99 99100100100101101102101101101100100100100100100100 99 99 98 99 99 99100100100101100100 99 99 99100101101101100100101101102101101102100100100100 99 99 99 99 99 99 98 98 97 97 96 96 96 96 96 97 97 96 97 96 97 97 97 96 96 96 96 97 96 95 95 95 96 97 97 97 96 96 96 96 96 96 96 96 96 96 95 95 95 95 94 94 96 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999103 99 99 99101102102102100 97 95 94 93 92 91 92 93 93 95 97101106109111112112113113113112112112113113112112112112112113113114115116118119119120120119119118118118117116115113112111109106103101 98 98 98100 99 99101100 98 94 91 88 89 87105107108109100 97100105113117117118116114115117117117117117118118119119119118117116116116115114113113113112112113113114112114114113113113113113112113112113113113112112112111112111111110111110109109109109108108107106106106105104103103102102102102101100100 99 99 98 97 97 96 95 94 95 95 93 90 89 89 85 83 83 80 75 74 73 81 89999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999105104104106107106105105105102101100100 99100100100101101102102102102102102101101101101101101101101102102102102102101101 99 99 99100101101102100100101101101101101101102102102102102103103102103103103102102102101102102102101101101100101100101100100100100102102102101101101101100 99100 99100 99 99 99 98 99 99101 99100101100101102101101102101100100101101101102101102100101100100 99 98 99 98 99 97 98 98 99 99 98 97 96 97 97 97 97 96 95 96 95 96 96 96 96 96 96 95 96 95 95 95 95 95 95 96 97 97 96 97 96 96 96 96 95 97 97 97 97 98 97 96 96 97 97 95 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 97101101 99 99 99 98 99100 99 98 96 94 93 92 92 93 94 95 96 96 97101106111112112114114114114114113113114113113114113113113113113114114115117118118120120119119119118118118117116114112110108106104102100100 98 99 98 96 95 92 92 91 88 86 89 82106108110110 85 94 94 96104112113114113112114115116115113114116117119119120119118117116115115115116115116115114114114113114114114114113114113114114114113114113112112113112112112111111111111110110110110110110109107106105104104104103103103102102101101101 99 99 98 99 99 96 97 97 95 95 95 93 93 89 86 85 83 82 79 77 75 75 80999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999106106106106106106106106105103101102101100100101101102103103103103103102102102102102103103103103103102102102102101100100100 99100101102102101101100100101100101102102102102101101101103102103103103103102101101101101101102102101102102101100100100101101101101101100100101100100100100101 99 99100100 98 99 99100100 99101102101101102101103103102102101101102102101100100101100100 99 98 99 98 97 97 96 97 97 97 97 97 96 96 97 97 96 97 97 96 95 95 94 95 95 95 95 95 94 95 95 94 94 94 94 95 95 96 95 97 96 97 97 97 95 96 97 97 97 99 98 99 97 97 98 97 96 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 88 94 97100 99 97 97 97 97 97 99101100 97 96 95 94 95 95 96 99103105106107111113113113114115115115115115114114115116117117117117115115115115115117117117119120120120120119119118117116115114112109108107106103102102102102101 99 93 90 89 85 84 83104106109113110110111110 86 86 93 97104106104106109112113111110111113115117118118118117117116116116116117117117115115115115115115114114114114114114114113113113112112112112112112111112112112112111111111110110109108107106105105104104104103103102101101101101100100100 99 99 98 98 97 97 95 94 93 93 89 87 84 83 80 79 76 74 75 72999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999108107107107107106106106106105105103102102101102103103103103103103103103102102102102103104104104104103102102102102101100101101100100100101101101101101101101101101102102102102101101102103103104103103102101101101101101101102102103103102102102102101101101101101100100101101101101100100101 99 98100100 99100100100101101101102102102102102102102102102102101100101101100100 98 99 99 99 99 98 98 98 97 97 96 97 98 98 97 97 97 97 97 96 96 96 95 94 94 94 94 94 94 94 94 94 94 94 94 95 94 95 95 95 96 95 95 96 97 97 97 97 96 96 97 97 98 97 98 97 99 98 97 96 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 89 88 83 82 86 93 95 97 94 93 94 93 94 96 98100 99 98 96 96 97 99 99102106111112111113114114115115116116116116116115116117118118118119118117116116115117119119119119120120120119119118118117116115114112111110109109108106104105106104103 96 91 89 86 84 93 96 99 99110110110109110110109108103103 90 93 97101106107107109111113114116117117117117117117117116116117117117116116115115115116115114115115115115115115114113113112112112112112111112111111112112112111110110110108107107106105104104103103103102101101101101101101100100 99 96 96 98 95 94 93 93 92 89 87 85 84 80 80 76 73 71 66999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999105108108108107106106106106105105104103102102102103103104103103103104102103103102103104104105105104103102101101102102101101100101102102101101101101101101101101101102102102102102102102102102103103103102101101101101101101101102102102103102102102101102102101101101100100100100101102101101100 99 98100 99100100102102101101101101101102102103102102101101101101102100100101100 99 98 99 97 98 97 96 97 97 97 95 97 96 96 96 96 97 97 97 96 96 96 95 95 94 94 95 95 94 93 95 95 95 95 94 94 95 96 96 96 97 97 96 96 96 96 96 96 96 97 96 96 98 98 97 98 98 98 98 98 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 91 88 86 83 80 78 81 80 83 83 86 89 91 92 94 94 95 96 97 96 96 97 99100102106112114115115115115115115116116117118118117117117118119119119118117116116116118118119119119119119119118117116116115115115114113112111112112111111110110111108106101 94 91 88 87 85 85 86 90 89 89 89 90 91 91 91 85 93 94 96 96 98 96 99100103107111114115115115115116116116116116116116117117117116115115116115114114114114115115115115114114113112113112112111111112112111111111112112111110110110109108107107106105104104104104103103102101101101100 99 99 98 97 97 95 96 94 95 94 92 89 87 85 85 80 76 72 71 69 60999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999105108109108107107106106105105105104103102103103103104104104104103104103104103103104104105105106106105104104104104103103102102101103103102101101101101101101101101101101101102102102102102102103103102102102102101101101101101102102102102102102101102101101101100100100101100100101101101 99100 99101 99100100100101101102101101100101102102102101101102102101100101102102100100100 98 98 97 97 98 96 96 97 97 98 97 95 95 95 96 96 96 96 95 95 95 94 95 94 93 93 93 94 94 94 95 95 96 96 97 97 97 96 96 97 97 96 96 95 95 95 95 95 96 96 97 97 98 98 98 98 98 99 99 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 92 89 86 83 81 80 80 80 80 78 82 88 91 95 97 97 96 94 94 93 93 95 96 97 99101109113115117117117116116116116117118119119119118118118118118118118117116117116117117117117117117118118117116116115114114114113112111111111112112112112112112112110104 96 92 92 93 91 91 91 92 95 95 96 97 96 98 98 96 94 89 85 90 98 91 94 97101105109113114114114114115115116116116116116116117116116115117116115115115115115115115114115114114113113113112112111111111111111111111111112111111109109108109109108107106105104104105105103102102101101 99 99 99 98 98 95 96 97 96 95 93 90 88 87 85 83 79 76 72 69 66 60999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999106110110108108107107105105104104103102102103104104104104105104105105106106106106106105106105106106106106105105105104104103103103103103102102101102101102102101100100101101102102102102102102103103103102102101101101101101101101102102101101102102102102102101101100100100101101101101101100 98 99 99 99100101101100101101103102101102102101101101101101103100100100101101100 99 98 98 98 98 98 97 97 97 97 97 97 96 95 96 95 97 97 96 96 94 94 94 94 95 94 93 93 94 94 95 94 96 97 97 97 96 97 97 96 97 96 97 97 95 96 96 94 94 96 97 95 96 96 98 98 98 98 98 98100 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999108 99 93 89 87 85 84 81 84 87 93 95 93 97100102102105 98 95 94 93 90 92 94 95 98100107114118118119118118117117117119119120119119119119119119119118117117117116116116115116116116116116116115115115115114113112112111111111111111111111112113113112110106100 95 96 98 98 99 99101101101 98100 98 97 98100100 96 94 93 95 97100103107108111113113114114114115116115116116116116117117116116117118116116116116116116115115114114114114114114113113112112112112112112112113112112111110109109108108107107108105106107106105104103102101101101100 99 98 98 98 96 95 95 94 92 91 89 89 86 85 83 81 75 73 69 65 60999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999110109109108107105104104104104103103103103104104105105105105106107107107106106106106106106105105106106106106105105105105106999999999102101101102102102101101100101101101102103103102102102102102102102102102101101101101101101101101102101101102102101101100101100100 99100101101101100100 99 99100101101102102101100100102101102101100100100101100101101101101100100100 98 98 98 98 97 98 97 98 97 97 97 97 96 96 95 96 96 95 96 96 94 94 93 94 94 94 93 93 93 94 95 95 95 95 96 96 97 97 95 96 97 96 95 96 95 94 94 94 94 94 95 96 96 96 96 97 98 98 98 98 99 99 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999116115113111107 99 97 96 99101103102101101103105106104999103 98 96 95 93 90 89 89 91 94 96105111115116118120119119118119119120120120120119119119119119119118118117116115115114115115114114114114113113113113114114113112112111111111110110111111112112111110107102101103105105104103105106105102101 99 98100102101101102103105105106107109109111112113113114113114114114115115116116116116116117116117117115116116116115114115114114114114114113113112112112112113113113112112112111110110109109109109108108108107107106106104102102101101101101100100 98 98 98 97 96 96 95 93 90 90 88 87 84 82 79 73 73 71 67 64999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999109109109108107106104103104103103103104104104105105106107107107107107107107107106106106106105105106106107107107106106107107107999999102100101102102103101100100100100100101101102102101102102102102101101101100101101101101101101101101101101102101101100100100100100100101101101101101100100 99100100100101101101101100101101101101101100100 99100100100100100 99 99 99 99 98 98 98 98 98 98 98 97 97 97 96 98 96 96 95 96 95 96 95 95 95 93 93 94 94 93 93 93 94 94 94 95 96 97 96 96 95 96 96 97 96 96 95 96 94 93 93 93 93 93 95 96 95 96 97 96 98 96 96 98 99 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999115116116116116115113111110109108108109108108999113111112113999999999999999 97 95 93 93 91 92 93 97100104109113117120119119119120120121121121120120120119119119118118118117116116115115114114114113113113113113113114114113113112111110110110110109109110110110109109107106106107109109108108108109108107107105104106106105104105106104106109109109108109111112113114114114114114114115116116116117117117117117116116115116116116115115114114114114113113113113112112112113113112112111111111111110109109109109108108108108107107106104103103103101101101100100 98 99 98 98 97 97 96 94 92 90 87 87 87 84 79 77 74 71 67 69999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999109109108107106104104104105105104105105105105106107108108108108108107107107107107106106106107107107108108108108108108108107107999999104101101102102101100 99 99100101101102102101102102102102101101101101101101101102101101101100100100100101100101100100 99 99 99100100100100101100101101100101100101101101101101101100100101100100100100100100 99 99101101 99 99 98 97 98 97 97 97 98 98 97 97 97 98 97 97 97 97 97 96 95 97 96 96 96 94 94 94 94 93 93 93 93 94 94 94 95 95 96 95 95 96 97 96 97 97 96 96 95 93 93 93 92 94 95 96 95 95 94 97 98 96 97 98100 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999113113113113114115116116116115115114112111999999999115114114116999999999999999999102100 98 97 96 96 97 98 98102106109113116119119119119120121121121121120119119118117117118117116116116116115115114114113113113113113114114114113112112111110110110110109109108109108108107107109110110111111113113114111112111112111109109110109108109108107109111111110110110111113113114114114114113114115116116116116116115116115116114115116116116115115115114114114113114113113113113112112113113112112111110110109109109109109109108108108107107107106104104104104102101101101100 99 99 98 98 98 97 95 92 90 87 87 88 85 80 79 77 73 69 68999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999108108107106105105105105106105105106106107108109109109109108108107107108107107106107108108108109109109109109109110109108108107999999999101101101100100100100101101101101103102102101101101101101101101101101100101100100100100100 99100100 99 99 99 99100100 99100100100100101101101100100100101100100101100100 99 99 99100100102100101101100100100100101100100 99 99 97 98 99 98 98 99 99 99 99 98 99 98 98 97 97 97 97 97 97 97 95 94 93 93 94 93 93 93 93 94 94 94 94 94 95 95 95 96 95 95 96 97 97 97 96 94 94 94 93 93 94 95 95 95 95 96 96 96 98 99 99 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999116112110110111112113115116117117117117115114114115116117117117999115999999999999999102101100 99 99 99 98 99 99100103107108111116117118118119120120120120119119118118117116116116116116116116116115115114114114114114114114114113114113112112111111111110109108108108108107107109112113114114114115116116116114113113113112112111109112112111111111112112113113113113114114114114114114114114115115116117116115115114116115115116116117117116115115114114114113114114113113113113113113113112112112111110109108109108108108108108109108108107106105105105106103103102102101 99100100 99 99 98 96 94 90 89 87 86 85 83 83 79 75 73 69999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999108107107105106105106106106106107108108109109109110110110110109110109108108108108109109109110110110110110110110110109108108106106999999101100100100100100101101101101102101101101102101101101101101101101100101100101 99 99100100100101100100100101100100 99100101101101101100100100100101100 99 99 99 99 99 98 98 99 99 99100100101100101101100100100100100100 99 99 98 98 98 99 99100 99100100 99 99 99100 99 98 97 96 98 97 96 94 94 93 94 93 92 93 93 93 94 94 95 94 95 95 96 96 96 95 96 97 97 97 97 96 95 96 94 93 93 93 94 94 94 94 95 97 99 99 99 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999116110108107109109110112114116121118117117116115116116117118118118116113999999999101100100 99 99101100 99100100102103105106107110113115117118119119120120119119119118117117116116115116116116117117116116116116116115115115114114114114113113113112112111110109108108107107108110112114115115115115116116116115115114113112112111109110111112111112114114115115114114114114114114114113115114115116116116117115115115116116115116116117116117116116116116115114115113113113113112113113113112112112111111110109110111110109109109109109108108106105105105105104104103103101100100100 99 99 98 97 95 91 91 89 89 89 87 84 80 76 74 69 63999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999107107106107106107107107108108109110111111111110110111110109109110111111110110109109110109110110110110110110110110109109109107105105104102101101102100 99100101102999102102100100101101101101100101101101102100100100 99100101100100101101100100100100100100100101101101101101100 99 99 98 98 98 97 96 96 97 96 96 94 97 99100 98 98 98 99 99 99 99 99100 99100100 99 99 99100 99100100101100 99 99100100101100 99 98 98 99 99 99 98 98 95 93 93 93 94 93 93 93 93 94 94 95 95 96 96 95 95 97 97 97 97 98 98 98 97 95 94 95 95 94 94 94 95 96 98 98 99 99 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999110110110111113115120117117116117116116115116117117117116112107105104104103101100101102101102102104103103105107107107109112114114114114115116118119119119119118118117117117117117117117116116117118118119118118117116116115114114113112112111111109109107107107109111113116117117117117117117116115115116115113112111110110111112113115116117117116115115115115115114114114114115115116117118117115115115115115116116115116115116116116115115115114113113113113113114114113112112112112112112111110111111110111110109110108107108107106105106105106104103102101100100 99 98 99 98 97 93 93 94 93 93 91 90 87 82 77 76 73 66999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999105106107107106109109108109109110110111111111111111111112111111111111111112112112111111111111111111110110110110110110109109109108108108105105103103104103100101101102103103103103101101101101101100100101101100101100100100 99100101100100101101100101100 99100 99 99100100100100 99 99 99 98 98 97 97 97 96 94 94 95 94 93 95 96 97 98 96 96 97 97 97 98 98 99 98100101100100101100100100100100 99100100 99100101101100 99 99 98 98 99 98 97 96 95 92 92 93 94 94 93 94 95 95 95 96 96 96 97 97 97 97 98 98 98 98 98 97 97 96 95 95 94 93 94 94 94 95 96 97100 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999113999999999999999999999999999117114114114115115114112109108108107107106103102102101102103104104104104104105106107109111111111111111111112115118118118119119118117117117117118118118118119120121121122121120121120117116114113113112112111110110110110110111114116118118118118117117117116116115115114113112112113114115117118118119119118118117118117117116115115115116116117117119119119116115115116115115115116116115115116116115115115115114113114114113114113113113112112112112111111111111111110110110109109109108107106106107106106106105104104103102101 99 98 98 97 97 94 94 94 94 93 93 92 87 84 80 78 76 73999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999113113113113999999999999999999106106107107107109109108110110111112112112112112112112111112112112112113113113113113113112111111111111111110110110110109109108109109109108106104104105106104102101101103103103103102103101101101100101101101100101100100100100 99100100101100100100100100100 99 99 99 99 99100100 99 99 98 98 98 98 96 97 97 95 95 95 95 94 94 96 95 96 96 94 95 96 96 96 96 96 97 98 99100100100101101 99100101101 99100100100100100101101100 99 99 98 98 98 98 97 96 93 92 94 94 95 95 95 95 96 97 97 97 97 98 98 97 97 98 98 98 98 98 97 97 97 96 96 93 93 93 93 93 93 95 96 97 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999118115113112112113113114110110110110109108106103102103104104104104104104104104104105106107107108109109109111113115116117118118117117117117118117118119119121122123123123123122122120121119116114113112112111111111112113113114114116119119119119119118118117117116116114115115116117119120121121121121121121121121120119118117116117117118119119119119119118117116116116115115115115115115115115116116116116115114114114114113114113113113113113112112112112112111111111110110110110110109107107106106106106106105104104102102102101 98 97 98 96 96 96 95 94 92 91 91 87 85 83 78 74 73999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999113114114113113112111109109109108108108107108108108110110111112112113113113113113113113113112113113113114114114114113112112112112112112111111110110109109109109109108109109108107105106106106104102102102102102103102102102102102101101101100100100100100 99 99100 99100100100100100100101102100100 99 99 99 98 99 99 98 98 98 97 98 98 97 96 97 96 95 94 94 94 94 95 95 97 95 94 94 95 96 97 96 98 98 97 98 99 99 99 99100101100100100100 99 99 99100 99 99100100100100 98 99100 99 99 97 95 95 95 96 96 96 98 99 98 98 98 98 98 97 98 98 98 99 98 98 98 98 98 97 97 97 96 95 94 93 93 93 93 94 94 94 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999120121117114111110110111112111111111110110108107107107106104102103104104104104104104105106106106107108109109110110111112113114115115116115116116116118119120121123124123123123123125123121121119116114113111111112112114114115115115117119120120120120120119119118118117117118118119120122122123122123123123122123123122122121120120119119119120120120120120119118117117116115115115115116116116117117116117116115114113113113113113113112112112112112112112112111111112111111111111111111111109109108107106107106105105105105103103102101100100 99 98 97 98 96 94 91 90 90 86 84 78 75 73 76999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999113114114115114113113113111109108108108108108109109110110111112113114114114114114114114114114114114114114114114114114113114112112111112112112111111110109109109109109108108108108108107107106106105105103102102103103103102102101101101101100100100100100100 99100100100100100100100100100101101101101100100 99 99 98 98 97 98 99 99 98 98 97 96 95 95 94 93 94 93 94 94 94 97 97 95 93 95 95 95 95 95 96 97 97 98 98 99 98 98 99 99 98 98 98 98 98 98 98 99 97 98 98 98 98 98 98 98 99 99 99 98 96 97 97 97 98 97 98 98 99 99 99 98 97 98 98 98 98 98 98 98 98 98 98 97 97 96 96 95 94 94 93 91 91 92 93 94 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999125120116113111999999999111112110110109109108108106104104999104107106106106106106106999999106107108108108109108110110110111113115115114115117118119121122123124124124125999999999999123119119117115114113112111113114116117116116118119120120121121121120120120119119120120121121123123122123124124124124123124123123123122123122121120120120119120120120120118117116116116116117117117118118118119119118117116115113113113114113113113112112113112112111112111112112112112112112111111111110110108107106106106105105105106105104104103103101100 99 99 99 96 94 91 88 88 86 85 79 76 75 76999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999113113114114114113113113112112111109108108108109109110111111113114115114115115115115115114114114114115115115115115115114114114114113112112112112112111111111110109108109109108107107107107107107107106106105103102101102103103102102101100100101100100100100100100 99100100100101100100100 99100100100101101100100 97 97 98 96 96 97 97 97 96 96 96 95 94 95 94 93 95 94 94 95 95 96 95 93 93 95 95 94 95 96 96 96 97 98 97 97 97 98 98 97 97 97 97 97 97 97 97 97 97 96 97 97 97 97 97 97 98 98 97 98 97 98 98 99 98 99 99 99 99 98 99 99 96 97 96 96 96 96 97 97 98 98 98 97 96 96 96 95 95 94 92 91 90 91 91 93 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999127123122999999999999112111111110110109109108107107107107999999999999999999999999999999999999108108108108108108111112112113114115115116117118119120121122124125125125125999999999999999118116117116116114113113114115117117117118120120121121122123122122122121121121121122122123122124123124124124124124123124124123123123122122121120120119118119120120119117116116117117117117118118118119118120119118118117115114115115115114113113114113113112112113111110110111110111111111111111111110110109109109108107106106106106106105104104104102101100 99 98 96 94 89 86 86 84 81 78 78 75 77999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999116115114115115114113113113112111110110109109109110111111112113113113114115115115115115115115114114114114115115115115115115115114113112112112112112112112111111110110109108107108108107107107106106105106106106104103102102102102102101102101100101100101100100100100100100100100100100100100100 99100101101100100 99 98 97 97 96 96 95 95 94 94 94 93 93 92 93 93 92 93 94 94 95 96 96 96 95 95 96 95 96 97 96 97 97 97 96 96 96 96 97 97 97 97 97 96 97 96 96 96 96 96 96 96 96 96 97 96 96 97 98 98 97 97 97 98 97 98 99 99 99 98 98 99 98 98 96 97 96 95 95 95 95 96 96 96 97 97 97 97 96 95 94 93 93 92 92 92 92 92 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999133128127127128999117114113111111110110108108108107108108108118999999999999999999999999999999999999999108108109109111111111113114116117119119120121122123124125126126126126126126999999999999116117116116116115115116118119119119120121121122122123123124123123123122122122122123123123123123123124123123124124123123123123123122121121120119118118118120119118116117116117117118118118118119119118118118119119118117115114114115114113113114113112112112112112111110110110110111111110110110109110108109109108108106106105106106105105104105104101101 99 95 93 91 88 88 87 84 83 84 83 79 78 77999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999114116116116116115114113113112111111112111111112112112112113113114114115115115115116115115115115114114114114114115115115115114114113113112112113112112112112112111111110109109109108108107107107107106106106106106105104103102102102102101101101101101101101101101101101101101100100100100100100100 99100100100100100 99 98 97 97 96 95 95 94 93 92 92 93 92 92 91 92 92 93 94 94 96 97 97 97 96 96 97 97 97 97 97 98 97 97 96 96 96 97 96 96 96 97 96 96 95 94 94 94 95 96 95 95 95 96 95 96 95 96 97 98 97 98 97 99 97 98 98 99 98 98 98 98 97 96 95 94 94 94 92 93 93 94 95 96 96 97 97 96 96 95 94 94 92 92 92 92 92 93 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999131128128129130999999999999999110108107106106107108109110113999999999999999999999999999999999999999999999999110110110110111113114117119121122122123124125126127127127126126126126126999999117117116115116116116117119120120120121121121122122123122122123124124124123124123124124124124124124123124124124124124125124123122122122121120120119118118119119118117117118117118118119118119118118118118118119118119118117115115114114113115114113113112111111112112111111110110110110109109109109110109109108109109108108107107107107106105105104104103103101 96 92 91 88 86 85 83 83 83 83 82 79 79999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999114116116116115114113114114113112112113113113113112112112114114114114115115116115116115115115115115114114114115115115115115114113113113113112112112112112112112111111111111110109108107106106106106106106106106106105104103103103102102102102102102102102102102101101101101101100101101 99 99 99 99100100101100101 99 99 99 98 97 96 94 94 93 93 92 92 92 91 91 91 93 92 92 93 92 94 97 97 97 97 96 96 97 97 97 97 97 97 97 96 97 97 96 94 94 94 95 93 93 93 92 92 93 94 95 93 95 94 95 95 95 95 96 96 97 97 97 97 98 98 98 98 98 98 98 97 96 95 94 93 93 92 92 92 91 92 93 94 94 95 96 96 96 97 95 94 93 93 91 91 91 90 91 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999131128127129128999999999999108105103102103104107110999999123999999999999999999999999999999999999999999999999111110111110111112115118122123124125127127127128129128127127126126127126999999117116117116116116116117119120122122122121121121122122123123123124125125125125125126125126126125125125125126126125125125124123122122121121120119118119119119119118118118118118118118119118118118118118118118119118118118118117116116114114114114112113112112112112112113113111110110110110109109109109108108108109111110108108108108107107106105104104103102102 99 95 93 88 86 83 83 83 83 83 82 79 80999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999112114116116115114113113114114114114114114115114113113113114115115115115115115115115115115115115115115114114115115115115114114114113113113113113113112112112112111111111111110110109108107107106106106105105106106105104104103103102103102102102102102102103102102102101102101101101101101100100100 99100 99100100 99 99 99 98 98 97 95 93 93 92 92 91 90 91 91 91 91 91 91 91 92 92 94 96 97 97 97 97 97 97 96 98 96 95 96 96 95 95 95 94 94 93 92 92 93 91 91 91 91 93 92 92 93 94 94 94 95 96 95 96 97 97 97 97 98 98 99 98 97 97 98 97 95 94 92 91 90 90 90 90 90 91 92 92 92 93 94 95 96 97 96 94 93 93 92 90 90 90 90 90 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999109106102101104108112999999128126999999999999999999999999999999999999999999999999999111111111113115117120123125128129130130129129128127126126126125124127126999117115116116116116118117118120122123123123123122122123124125125126126126126126127129129128127126126125126126126126126126124123122122121120118118118119118118118118118118118118117117118118118119118118117117117117117117117117116116115115114112112113112112111113112112112111111111111109109108108109109109108109111110109109107107107107106106106104103101101 98 98 95 90 87 85 83 82 84 84 85 83 81 82999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999113114115116115114114114115114114114114115115115113113114115116116115115115115115115115115115114114115114115115115115115115114114113113113113113113113112112111111111111111111110109108108107106106105105104105106105104104104104103103102102102102103103103103102102102101102101101101101100100100100100100 99 98 99 98 99 99 98 98 95 93 92 91 91 91 90 90 91 91 91 90 91 91 91 92 93 95 96 99 98 97 96 97 96 96 96 95 94 94 95 95 95 94 93 93 92 92 92 92 92 91 91 91 92 93 94 94 94 95 95 96 95 96 97 98 97 98 98 98 98 99 99 97 96 95 93 91 90 89 89 89 88 88 89 89 91 92 92 93 94 94 95 96 95 94 94 93 91 91 91 91 90 90 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999115113112112111110110111999999999130131999999999999999999999999999999999999999999999999999999999114114115118119121125128130131131130130129128127126125124125126130999999999115115116116116118119119120121122123123123123123124126126126127127127127128129129128128128127127126126126126127126125123124123123122121121119118117117117118118117117117117117116117117118118117115115115115116115117116117116115115114114113112112112112112111112112112112112112113111110109109110109109109109110110108108108107106106106106104103100 99 98 97 98 95 92 89 86 84 83 83 85 87 85 84 84999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999114114115115115114115115116116115115115115115114114115115116115115115114114114114115114114115115115115115115115115115115115114114114114113113113113112112112111111111111111111111110109108107107106106105105105105105104104104104104103103103103103103102103103103102103102102102102101101101100100100101100 99 99100100 99 99 98 97 95 93 91 91 92 91 89 90 89 89 90 90 91 91 92 93 95 96 96 98 97 96 96 97 96 95 96 94 93 93 94 96 96 95 94 93 92 92 91 90 89 90 91 92 91 93 94 94 94 95 95 95 96 96 97 98 98 99 98 99 99 98 96 95 94 92 90 89 89 87 86 87 87 88 88 88 90 92 93 93 94 94 95 95 95 94 94 94 92 92 93 93 93 91 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999117117114116114115115999999999999130131999999999999999999999999999999999999999999999999999999999999999999120120121122126130132133134132131129128127127126123123129999999999999117116116116116118118119120121123123124123123123125126127127128128127129129130130129129128129128128127127127128126126125125124123123122121120118117117117117116117117118117117117118118118118115115115114115115115115116116116115115114114114113111111111111111112112112112113113113113113111110110109110109109108108108108107107105105105104102101 99 98 97 96 96 93 92 90 87 85 85 86 86 86 85 84 83999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999115115115115115116116116117116116116115115114115115115115114114114114114114114114114114114114114114115115115114114114114114114114113113114113113113112113112111112112112112111111110109108107107106106106105106105104105104104104104104103103103103103103102103102103103103102102103103102102101101101101101101101101100 99 97 95 95 92 91 90 92 92 91 90 91 90 90 90 91 92 93 93 95 95 95 95 96 94 97 96 96 96 94 93 93 94 95 96 95 94 93 93 92 92 90 90 90 91 92 93 93 94 95 95 95 95 96 96 97 97 98 99 99 99 99 99 97 96 95 94 91 89 89 88 87 86 86 86 86 87 88 89 90 92 93 94 95 95 95 95 95 95 95 93 93 93 93 93 92 91 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999131130128131135136136135134131129999999125125125999999999999999999118115116117116118119120121122123124124124125126127129129129129129130129130130130130130129129129128128128128127127127126125125124123121120119119118118117117117117117117117117118118117117116114115115114114114115115115115114114114115114114113112111111112113112113113113113113113113113111110109110109108108108108107107107105105104103103102101 99 97 95 93 92 92 90 88 85 86 85 85 87 89 87 83999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999116115115115115115115116116116116115115115115115115115115114114114114114113114114114113113113113113113113114114114114114114114114113113113113113113113112112112112112112112111111110110110109108108107107106106106106105105105105104104104104104104103103103103103103103103104104104103103103103102102102102102101101100100 99 96 94 92 91 90 91 92 92 92 91 91 90 91 92 93 92 93 94 95 93 94 95 94 96 95 96 96 94 93 92 94 95 96 96 96 95 94 93 93 93 92 92 91 94 93 95 95 94 95 95 95 95 96 97 98 98 99 99 99 99 98 97 96 94 94 93 92 91 89 88 88 87 86 86 87 88 89 90 91 92 92 95 95 95 95 96 96 96 95 94 94 94 94 91 90 90 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999137137137137137138138999999999999999999999999999999999999999120115115115116117118119120122123124125126126127128129129129130130130129130130131130130129129130129129128128128128127126126125124124122120119120119119118119118117117117117118118117117116116115115115114114114115115115115114114114114115115115113112111111112113112113113112112113113112111111110110110110109109109108108108106106105105103101101 99 95 95 92 92 93 91 89 87 87 84 86 86 87 89 87 87999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999115115115114115115115115115115115115115115116116115115115114114114114114114114114114114114114113113113113113113114113113114114114113113113113113113113113112112112112111112111110110110110109108108107106106106106106105105105105104104104104104103103103103104103103103103104103105103104104104103102103102102102101 99 98 96 95 92 90 89 89 92 91 91 91 91 91 92 92 91 93 93 95 93 93 94 94 95 94 95 94 94 93 91 92 94 97 97 97 96 95 94 94 94 95 94 94 94 95 94 95 95 95 95 95 96 96 97 97 98 99100100100 98 98 97 95 94 93 93 91 90 90 89 89 88 87 88 88 88 90 91 92 93 95 95 95 95 96 96 96 95 93 93 94 93 92 91 90 89 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999142140138138999999999999999999999999999999999999126125114115116117118118119120123124126127127127128129129130131131130130130130129130130130129129129129129129130129128128126126126125125123122120119119120119120118119118118119118117116116115115115115115115115115115115115115114115115115116116115115114113113113112112112112112112112112112112112111111111110109110110110108107107107105104103102101 99 97 97 95 95 96 94 93 90 87 85 87 87 87 87 88 85999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999116116115114114115114114114113114114115116116116116115115114114114114114114114114114114114114114114113113113113112112112112113113113113113113113112112113113112112112111111110110110110110110108108107106107107106106106106106105105104104104104104104103103104104105104104104105105105104103103102103103102101101 99 97 96 95 93 92 91 90 90 93 94 93 93 92 92 92 92 92 90 92 92 93 93 93 93 93 93 93 93 92 92 91 92 95 98 97 97 96 96 95 95 95 95 95 95 95 95 95 95 95 95 96 96 97 97 98 99100100100100 99 98 97 97 96 95 95 94 92 91 91 90 90 90 89 90 89 90 91 92 93 94 95 95 95 96 97 96 95 93 92 93 93 93 92 91 90 90 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999143141139138999999999999999999999999999999999999999121118115116117118119119120121122125127127127128128129130130131131131131130130130129129129129130130130130130129129129128126125126125124123122120121120119119119119119119119118117116115115115115116116115115116116115115115115116115116115115114114114113113113113113113113113112113112111111112112111111111110109109109110108107107105104103102102100100 99 99 97 95 92 92 91 87 86 86 87 87 87 87 84999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999114115115115117117999115115113111112113113114114114115116116116115115115115115114114114114113113113113114114114114114113112112112111111111111112113113113113113112112113112113112112112111110110110111111111110109108108107106107107106106105105104103103103104102103103103103103104104104104105104104104103102102102102102101100 98 97 96 94 93 92 91 92 91 91 93 94 94 93 92 92 92 91 92 92 91 91 91 91 91 90 90 91 92 92 91 90 90 92 95 96 97 97 97 97 96 96 96 96 97 97 97 97 96 97 96 97 97 98 98 98 99100101101100 99 98 98 98 97 96 95 95 94 93 92 92 92 92 91 92 93 92 93 94 94 94 95 95 95 96 97 97 95 94 94 93 94 94 92 91 90 89 89 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999145143999999146144142141139137135999999999999999999999999999999999999118118114115116118118118118120122124126127128128128130131130130130131131131130129129129129129130130131131130129129129128128127126126125124123122122119118118118118119119119118117117117117117117118118118118117117116116116116116116115113114114114114113114113113113113113113113113113113112111112110108109110109108108107107106106105105104103102101101100 99 98 95 93 93 91 89 86 86 86 87 86 86 83999999999999999999999999999999999999999999999999999999999999999999999999999999999999999114114114114115116116117117116114113112112112113114114114115116116116116115115115115115115114113113113113114114114115114115114114114113113113112112112112112112112112112112112113112112112111111111110110111111111111110108108108107107107106106105105105105104103103103103103103103103103104103102102102102102102102102101101100101100 99 97 95 95 93 92 91 91 91 91 91 92 92 93 92 92 91 91 91 92 91 90 90 90 89 87 87 86 87 89 89 89 88 88 90 93 96 97 97 98 97 98 98 98 98 99 97 98 98 97 97 98 98 98 99 99100100101100 99 98 98 97 97 98 97 97 96 96 94 94 94 94 94 94 94 94 94 94 95 95 95 95 95 96 96 96 96 95 95 95 95 95 93 93 92 92 91 90 89 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999144138143143142141140139137133999999999999999999999999999999999999999124113115116117117117118120122125127128128128129129130130131130130130130130129129129130130130130131129130130129129129129128127126125125124123122121119118118118119119119119118117117119119119119119120119119119116117116116115115115114114114114114114114112112111112112113112112113114112111110109109109109108108108107106106105105105104104105103100 99 98 98 97 95 93 93 89 86 86 86 87 86 84 82999999999999999999999999999999999999999999999999999999999999999999999123109114999114113114115116115116115116117116114114113112112113114114115113114114115115115115115115116116116114113113113112113114116116116115116115115114114114113113112112112112112113112112112112112111111111111111110109110110110112110109108108107107106106105105105105104103104104103102103102102102102103103101100100100100100100 99 98 99 99 97 98 96 95 93 93 92 91 91 90 90 90 89 90 90 91 92 91 92 92 92 91 90 90 91 90 89 87 85999999999999999 84 86 89 91 94 96 97 98 98 98 99 99100 99 99 98100 99 99 99 99100100100101100100 99100 99 99 98 98 98 98 98 98 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 97 95 94 95 95 94 93 93 91 90 90 87 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999143141141141140139136134999999999999999999999999999999999999999999112114115116117118118121123126129129129129129130130131131131131130130130130130131130130131130131130130130130130130130130129128128128128127125124121119119119119119119119119119120120120120120120121121121120119119118118118116115115116116116114114114113113112112113113113112113113112111110109109109109108109108108107106105105106107106106104101102101 99 96 95 95 92 88 85 86 87 88 87 85 85 89999999999999999999999999999999999999999999999999999999999999999999999999109110111112112114115114115115115115115113112112112113113114114114113113114114114114115115116116116116115113114114113114116115116116116115115115115115114114114113112112112112112112112112111111111111111110110110110110110110110110109108108108107107107105105105105105105105104103102102101101100101101100100 98 99 98 98 97 96 97 97 96 96 95 95 95 93 92 92 91 90 90 91 90 90 89 89 89 90 89 89 91 91 91 90 90 90 91 91 90 89 88 88999999999999999 84 85 89 93 95 97 98 98 99100100100100100101101101101100101100101101101101102101100100100 99 99 99 99 98 98 98 98 97 97 97 96 96 97 96 96 96 96 96 97 97 97 97 98 98 98 97 97 96 96 95 95 95 93 90 89 87 85 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999139138137137137138999999999999999999999999999999999999999999999112114115115116117118120124127128129130129130130130130130131131131131131131131131132132131131131131131131131131131131131131130130130129130128126124122121121120120120120120120121121121121122122122122122121120119118118119118119117117116116115115114113113112112113113113113113113111110109110110110111110109108108107108108107108106107106106104102100 97 96 96 95 92 90 86 86 89 90 91 92 93 95999999999999999999999999999999999999999999999999999999999999999999999110109109111110109111112113114114114114112110111111111111112113115114113113113114114115115115115115115114114114113113114115115115115115115115114114114115114114114113113112111112112112112111111110111111111110110110110110110109110109109108108107107107107106106105105105104104104103103102100100100 99 98 97 97 96 95 95 95 96 95 95 94 94 94 94 92 93 91 92 91 91 91 90 89 89 89 90 90 90 90 90 89 90 89 90 90 90 90 91 92 93 93 89 87 86 85 86 85 83 83 86 89 92 95 95 95 95 97 99 99100101101101102101101101101101101101101101101102102101102101100 99 98 99 98 98 98 98 98 98 97 97 97 96 96 97 97 98 98 99 98 98 98 98 98 98 97 97 97 97 94 94 92 91 87 85 83 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999138136136136137138999999999999999999999999999999999999999999999113114115116116117119121124127129130130130131131130130131130131131132131132132132132131131131130131131131131131131132132132132131131131131129128127125124123123122123122122122122122122122123122122122122122122119118119120119120118118118116115116115114113113112113112113113112112112112112111111111111111109109108108108109108107106107107105104102 97 96 97 98 96 95 92 88 88 90 91 92 93 97 99999999999999999999999999999999999999999999999999999999999999999999999110110111110109108110111110110110110108108108108109109110111112113115116113113113114115114114114114114114113113112113114115114114114114114114115114114114114114113113112112111112112111111111111110110111110110110110110110109109109109108108108107107107106107107106106105105104103102101 99 99 99 98 98 97 97 97 96 95 95 94 94 94 93 93 93 93 93 92 93 93 91 90 91 90 89 89 89 88 89 89 87 88 88 88 89 90 90 90 90 91 91 91 93 93 91 88 86 86 86 86 86 86 88 89 90 93 94 95 95 95 95 97 99100 99100100101101101101101100100 99100100100100100100100100 99 98 98 97 98 97 97 98 98 97 98 97 97 97 98 98 99 99 98 98 99 99 98 98 98 98 97 97 97 94 93 92 92 89 85 84 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999137137140138138140999999999999999999999999999999999999999999999115116117117117117119122124127128128130131131130132132132132132132132132132132132132131131131131130131131132132132132132132133133132132131129129128127126125125125125125125125124124124123123122122122122121122121121121121121120120120120118117116116115115114113111112112112111111112111111111111111111111110109109109108109108108107107105104104101 98 98 98 98 98 97 95 93 91 93 94 94 95 98101101999999999999999999999999999999999999999999999999999999999999999999109110110109109109110109110110110109109108108107107109109111112114114115114113114113114113114114114114113113112113113114114114113113113113113114114114114114114114113113112112112112111110110110110110110110110110110110109109110110109108108107107106107107107107106107106106104102102100100 99 98 97 96 96 96 95 94 94 93 93 92 92 92 92 92 92 93 94 94 93 93 92 92 91 90 88 89 88 89 88 88 88 87 87 88 89 89 90 90 91 91 92 93 92 90 86 86 86 86 86 86 86 87 87 90 91 91 91 93 95 95 95 95 94 95 96 96 97 97 98 97 97 96 96 96 96 95 96 96 97 98 97 97 98 98 97 98 98 97 97 97 98 98 98 98 97 97 97 98 98 98 98 99 99 99100 99 98 99 97 94 94 91 91 89 89 86 85 83 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999143137137137136134142999999999999999999999999999999999999999999122116117117118119118119122124126126127129131131132133132133133132133133132132132132132131131131131131131132132132132132132132133133132131130128127128128126126126125125126125125125125125124123123122122122122123122122121122122121120120119117117115115114115115114113112113112111112111110111111111111111111111110110109109108109108109108107106107106104101100100 99 99 99 97 96 95 96 97 97 98 99 99102999999999999999999999999999999999999999999999999999999999999999110110110109110110109109109109108108107107108106106106108108111114113114111112112112113113113113113113113113113114114114114113113112112112112113113113113113114113113112112113113112111111110110110110110110108110110109109110109108109108109108107106107107107106106107106105103102102101100 99 98 97 96 95 95 94 93 93 92 93 92 93 93 93 94 95 96 96 95 96 95 94 94 93 92 90 88 88 89 88 88 87 87 86 87 87 88 89 89 90 91 92 92 91 88 86 85 86 86 87 85 86 85 85 87999 89 90 91 94 94 94 92 91 93 93 94 93 93 92 92 91 91 91 91 91 89 90 90 91 91 93 93 95 97 97 97 96 95 94 95 97 97 97 98 98 97 97 98 98 98 98 99 99 99 98 99 99 98 96 93 92 88 86 85 86 83 79 77 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999138139137134136999999999999999999999999999999999999999999118115117118118118118118119122124125127128130132131132133133133133133133132132131131131131130131131131132132132132132132132132132132131130130130129129129128127127127125126126126125124124124124124124123122122123123122122122123122121119119118118117116115115115114114115115114114114113112111113112112112111111111110110109109109109108109109109109107107107103102100 99 99 98 98 98 98 99100 99 99 97 96 96999999999999999999999999999999999999999999999999999999999999999109109108109110110110110109110107102101101101104106106106107111112111112114113111113113113113113114114113113114114113113113112111112112112112113113113113113113113113113111113113112111111111111110110110110110110110109109109108108108108108107106106107107107107107106106104102102101101101100 99 97 96 95 95 94 93 92 93 93 94 94 94 94 96 96 97 98 99 98 98 96 95 93 93 91 88 89 90 89 87 86 86 87 87 86 86 87 89 89 91 92 93 92 88 86 85 84 84 84 84 84 85 87 88 91 90 89 91 91 91 91 89 88 90 91 91 89 89 87 87 87 87 88 88 85 83 81 86 87 87 87 88 88 91 92 93 92 90 91 92 93 94 95 96 97 97 97 97 96 97 97 98 98 98 99 98 97 98 95 93 90 86 83 82 79 76 74 73 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999137137135135999999999999999999999999999999999999999999116115116117118118118118120123125128130131131131130132133134134133133132132130131132132132130130132132132133132132132132132132132132132131132130130130130130129128127126126125124123121122122122123123123123122122122121122121122121120119119118119119118117116115115115115115116115113112111111111112111112112111111111110110110109109110110110109107106105106105104101 99 99 99 99 98 98 99 99 98 98 97 96 95 95999999999999999999999999999999999999999999999999999999999999108107106108108107108109108110104101101101101100100104106106108111111111112113113113112112112112112113114114114114114114113112112111112112112112113113113113113113113113112112113112111111110109110110110110110109109109109108108108108108108107107107107107106107106105105104103103101101101100 99 98 98 97 96 95 95 96 96 95 96 95 96 97 98 99 99101101101100100 98 95 96 92 90 89 90 89 88 86 86 86 86 86 87 86 89 89 91 91 91 90 88 85 84 83 83 83 82 83 83 84 87 88 89 90 90 89 89 90 89 89 88 89 87 88 87 85 85 84 85 85 87 85 82 81 82 79 79 79 81 81 83 84 89 89 87 87 89 90 90 92 93 94 95 95 96 97 97 97 98 97 97 98 96 95 94 92 89 85 83 81 77 75 72 70 71 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999138140999999999999999999999999999999999999999999113113115116116117118119121123126129131132133131131132133134134132133132131132132132132132131131131131131132132132133133132132133132132132133131131131130129128127125124123123121120120121122122122122122122121121121121121121120120119119117117117118118116116116116116115115115115114113111110110111111112112111111111110110110109110110110110108105105104105104102 99 99100100100 99 99 99 99 99100100 97 95 96999999999999999999999999999999999999999999999999999999103105107106105106108107107108108108105103101101101100100100102105106108108111112113113111111111111111112113114115115115114113112112112112112112112112112112111110111112113113113112112112112111110111111111110110110110109109109109108108108108108107108107107107106106105105103103102101101102102101101100 99 99 99 98 98 98 97 97 97 98 99100100101102100101101101101101 99 97 96 94 89 89 90 88 87 86 86 87 87 88 89 89 91 91 91 91 88 87 84 83 83 83 83 83 82 83 84 83 84 86 87 86 85 87 87 87 87 86 87 87 88 87 84 86 86 85 86 86 86 85 83 81 79 76 74 74 73 75 76 78 82 83 84 84 86 88 87 89 90 90 93 94 93 93 93 92 93 93 94 94 94 92 88 83 82 80 77 74 72 71 70 70 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999139140140999999999999999999999999999999999999999999999113112114116117118118118120124127130132133134133132132134134134134134133133133134133133133132133132131131131132132133133133134133132133133132132131131130130129127125124122122120120119120121121121122121121121121120121121120119119118118118117116117117115114115115115115115115115114112110109109109110111112111111110109109109110110111110110108106107104103102100100100101100100 99 99 99 99 99100100 98 98 97999999999999999999999999999999999999999999999999999999104106102102101101102103102105106107108105102101101100 99100 99102104105108109110110110110111111111112113115116114114114114113112112112112112112111111109108107108108109110112112112112112112112112111111110110110110110110109109109108108108108108108107107107107106105105104103103102102102103102102101101101100100100100100101100100101101102102102102101100100101101100100 98 96 95 93 90 89 89 88 88 87 87 88 89 90 90 91 89 89 89 87 85 83 83 83 83 82 82 81 83 83 82 83 84 84 82 83 83 83 83 84 84 85 85 84 86 87 86 85 85 86 86 86 85 83 81 79 76 75 73 72 71 72 74 76 79 79 79 78 75 79 85 81 83 84 87 87 93 90 89 90 89 88 88 87 86 85 81 79 76 74 71 70 70 71 73 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999142141144999999999999999999999999999999999999999999118112113115116119120120122125128130132135135135134134135134135135136136135134135134133134134133133132132132132132132133133133133133133132132131131130129129128127126125122121119119118120120120119120119119119119119119118119118117116116115115115115114115113113113114115114114115113111110110109108109109109110110110109107108108109110110110109108106105103102101100101103102100 99 99 98 99 99 99 99 99 99100999999999999999999999999999999999999999999999999999104104104101 98 97 95 96 97 97 98101105106107104101100100 99100100100106105106108109109109110111113113114115115116114113114113113113113113114113113111110109107107106107107108108110111112112112112113112112111110110110110110110110109109109109109108108107107107107107107104105104104103103103103102102102101102102102101102102102101102102102101101101101100 99101100101101100 99 96 96 94 90 88 88 89 89 88 88 88 89 90 90 88 87 88 86 83 83 82 80 81 82 82 82 82 81 81 81 81 81 81 81 82 82 82 82 83 84 85 84 84 85 86 85 84 84 84 84 85 83 81 79 77 76 76 75 72 71 71 73 75 76 75 74 74 73999 75 78 77 79 81 81 82 78 81 80 88 84 82 82 82 80 79 77 75 74999999 74 74 76 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999140143145145148999999999999999999999999999999999999999999999113114116118119120120122124127129132134134135135136136136136137136135135135135134134134135134132132132131131132132132133133133132132131131131131130129130129128128127122121119118118118119118119119119118118119119119118118118116115114114114114114115115113113113113114115115114114113112111109108106107108108108108107106106106108109109109109109107105104103103101103104104102101101 99100 99 99100 99101102999999999999999999999999999999999999999999999999102102103 99 97 96 98 97 97 96 95 96 96 96 97102103103103101101102103104103108108109109109110110112113114114115116115115113112113113113114113114114113113112110108108107107106107108109109111112112112113113112112111110110110110110110109109109109109109109108108108108108107107106105104104104105105105104106105105103103102102102102102102101101101100100101100101101100101101100 99 96 96 96 94 89 87 87 88 88 87 89 89 89 89 88 87 86 85 83 82 81 81 81 82 82 83 81 80 80 80 80 80 81 82 82 82 81 82 83 84 83 83 83 83 82 81 81 81 81 79 78 77 76 76 77 77 76 75 73 71 71 72 73 73 73 72 72 72 72 73 73 73 73 73 73 73 75 78 80 80 81 80 79 79 78 78 77 76 76 76 79 80 79 80 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999145141145146148150149999999999999999999999999999999999999999999999117116117120121120123125129131133134133134135135136137137137136136135135135135135135135135133131132132130131130131131131131131132131131131131130130130130128129127123121119118118118118117119118118119119119118118117116115115115115115115114113113113112112112113114114115114115114112112110108107105106106106106106105104104107109108108109110109107106106104103104104104104103103101 99 98 99100 99100102999999999999999999999999999999999999999999999101 99 99 99 97 97100100 95 92 91 88 89 89 91 93 96 97 98101102100101103103103105109109110110111112113115115115115116116115115114114113113113114114113114113112111110108108106106107107108108109111112112112112112112112111111111110110110110110109110109109109108108108109108108107106105104104105106106106106106106106106106106105105104104104103102102102102102102102102101101102100 99 97 96 96 91 89 89 87 88 89 89 89 90 90 91 89 87 84 83 82 82 82 80 80 81 81 82 82 80 79 80 79 79 80 81 81 81 81 81 81 79 79 79 78 78 76 77 77 79 78 78 77 76 76 76 76 76 75 75 74 73 73 73 72 73 73 73 73 74 75 76 76 76 76 74 72 72 73 73 76 76 77 76 75 76 77 78 79 78 79 80 81 82 81 81 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999147146144143145147149150149999999999999999999999999999999999999999999105121116118119120120124127130132134134133134136135135136136137136136135135136137137135134133133131131131130129129130130131131132132131131131131131130129130130128127126122119118116116117118117118118118118118118117117116115115115115115115114112113113113112112114114115116115114114113111111109107106105105104104105105103104106106107108109108108108107107105105105104105105104103102101 98100 99 98 98 99999999999999999999999999999999999999999999101100 98 94 95 97100 99 95 90 87 83 82 84 85 88 86 88 92 94 96 97 98100103102102105109112113113113115115115115116116116116115115115115115114113113113113113113112112111109109106107107108107108109110112112112112112112111112112111111110109109110110110110110109109109109110109108107106105105105106106106106106107107107107107107107107107106106106106104104104104103103103102102102102100 98 97 96 92 91 90 87 87 88 89 89 89 90 91 89 86 83 82 82 83 83 81 80 81 82 82 82 81 81 80 80 80 80 79 80 79 79 78 77 76 76 75 76 76 75 76 75 76 76 76 75 76 75 75 74 74 74 74 73 72 73 73 73 73 73 73 74 74 75 76 77 78 78 75 73 73 73 72 71 70 69 73 74 75 76 79 81 78 78 78 79 80 79 78 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999147146145145146147149149147147999999999999999999999999999999999999999109107118119121121122125126127130132134135136137136136135135137136136136136136136135134134133132131129128128129128128129130130131131131131130130130131129129129127126125124120119118117118117117116117117117117117117117117117116116116116116114114113113110110111113114113114114114113112112110107107106105104104104103103103102103104106106107107107107106106107106105105105106104104104102100100101 98 97 95999999999999999999999999999999999999100102101102 97 94 98101 99 95 92 88 84 82 82 83 84 84 85 86 88 92 93 96 94 95100102104105110113114114114115117116115116115115115114115114116115115113113113113113114114113113111110110108108108108109110110111110111112112111112112111111112111110110109109111110110109109110110109110109108106106106105106105105105106106107107107107107107107108107107106106105105105105105104103103103103102102 99 97 97 93 91 89 88 87 87 87 88 89 89 90 89 85 83 82 81 81 80 80 80 82 83 83 82 82 83 81 80 80 80 81 81 80 80 79 78 78 79 78 78 78 77 75 74 75 75 75 75 75 75 73 74 74 74 74 74 74 74 73 73 73 75 75 74 74 74 75 77 78 79 77 75 74 73 71 70 71 71 71 72 73 74 76 78 78 77 75 76 78 77 76 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999145145146146146147148149149149149146146999999999999999999999999999999999999999999120118121123126125126129132134135136137136136135136137137137136135136136135135133133131131129127127126126126128129129129130131131130128128129129130130128126125124120118119118118117117116117117117118118118118117117117116116116114115116114112111111110110111112112112111111112111108104104103102103103103102103101102102103105105103102102104106106106106106106106106104104102101101101101 99 98 97999999999999999999999999999999 99100 99 99 99 98 95 94100101 98 94 92 90 86 84 82 81 81 82 82 84 86 89 92 93 94 96100104105108111113113114115115114115115114114115116115115115115116115113113114114114114113112112112112111111111111110111111111111111110111111111111111111111112112111111111110111111111110110110109110110110109107107107106106105106106105106107108108109108108107107107106106106106106106106105105105105104103103101101 98 97 95 93 92 88 87 87 86 87 88 89 88 88 86 85 83 82 81 80 80 80 81 83 84 83 82 84 84 83 82 83 84 83 84 84 83 82 82 82 82 82 79 78 77 77 78 77 76 75 76 76 76 75 76 75 74 75 76 75 75 75 76 75 74 74 74 75 76 77 77 78 78 77 76 76 74 74 72 71 72 71 71 71 71 75 76 78 77 76 76 76 76 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999146146147146146147147148148147148144144999999999999999999999999999999999999999124120119122123125125129131130133134136137136137136136137137137136135135136135135133133132130128127126125125126127128128129130129128127126127127128127126125124124123122120119119118117117117117118118118118118117116116116116115115114115116115113112109109108108109111112110110110109104102102100101101103102102101101 99 99101103101 97 96 97 98102104105105105106106105103102101101102101101100101 95999999999999999999999999999 99100102 99 96 94 94 95 98101101 99 98 98 95 94 91 89 87 85 84 86 87 89 91 94 96 97101104105109111112113114114114115115114114115116115115115115115115114114114114113114114113112113113113112111111111110111110111111111111112111111112111111111111111112112111111111111111111111111110110110110110109108108108107107107107106106107108107108109108108108107107107107107107106106106106105104104104103102102102 99 97 95 93 93 88 88 86 85 84 86 87 88 87 88 87 84 83 82 80 79 80 82 84 85 86 86 86 87 87 88 88 86 86 86 86 85 85 84 85 85 85 83 80 81 81 81 80 79 79 79 79 78 78 77 77 76 76 77 77 77 77 77 77 76 77 77 78 78 78 81 80 79 78 77 76 76 75 75 74 73 71 70 70 71 73 73 73 75 76 76 76 75 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999146145145146147145143144143145144144145146144147999999999999999999999999999999999999999122120122122125126128129129130132134137137138138136136137137136135135134135135134134133130128127127127126126125126127126127126125125124124123122123122121120120120120120119120119118118118118118119119120119119117116115115115115115115115116114113111109107106107109109109108108104101100 99 99 99 99100101100 99100 99 99100101 97 95 94 93 93 96 98100101102100101101101 98 98100102101101101 99 94 89999999999999999999999 99 99 99 99 96 92 90 95 98102103102103104105103101100 99 96 94 95 94 94 96 96 97100103106109111111113114115115115115115115115116116116116117117116116115115115116114114114113113113113113113113113113112111111110111111110110111111111111112111111111111112112112112111111112112112111111110110110110110110109110109109108108107107108108108109109109109109109108107107107106107106106106106104104104103103102101100 99 96 94 91 89 87 85 84 84 84 85 86 87 87 87 86 83 80 80 80 81 82 88 88 88 88 89 89 89 88 88 87 87 87 87 87 87 86 88 87 86 85 84 82 81 81 80 80 80 80 80 80 80 79 79 79 78 79 80 80 80 80 79 79 79 79 79 81 80 81 82 82 80 79 78 78 76 75 75 75 75 74 73 74 75 75 75 76 77 77 77 76 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999147147146146147146144142141140141141142145147148999999999999999999999999999999999999999999120122124126124125127127127130134135136138137136136137136136136135134135135134133132131129128127127127126125125125125124124124124123122121121121120120119117117117118118119118119119118118118118118119118118118116116115115115116116115115114113110108106106106106106106105104101100100 99 98 98 98 98 99 99 99 99 98 99 99 97 96 96 95 93 93 92 93 91 91 95 97 95 94 93 94 97 98 98 98 97 96 93 93 89 83999999999999100100100 99 98 95 91 90 89 96 99104105106107107108107108108107105106106106105106107107109111111112112113114115115114115116116115116116117117116116117117116116115116116115115114114113113113113113113113113113112111110110110110111111111111111111111111112112112113113112112112112112112111111110110111110110110110111111110110110109109109109110110110109109109109109109108108108107107107106106105105104103103102102101100 98 95 92 89 87 86 85 84 84 86 89 90 90 87 85 83 81 81 81 82 88 91 92 91 91 91 91 89 88 86 85 86 87 87 88 88 87 88 88 87 86 85 84 82 82 81 81 81 80 81 81 82 82 81 80 81 81 80 81 82 80 81 81 81 81 81 82 83 83 84 85 83 82 82 80 80 80 81 80 80 79 78 78 79 78 78 77 78 79 78 79 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999148148147147147146146144141138136136138141144146146999999999999999999999999999999999999999120122124124123122124124127131133134135136136136137137136136137136134134134134133132131128127127126125125125125125125124124123123123123122122122121121120118116116116118118118119120120119119119118118117117117117116116115115116116115115113112110108105105105105104104103102101100 99 98 97 96 97 97 98 98 98 98 98 96 96 94 93 93 94 94 94 93 92 88 88 91 94 92 92 90 94 95 94 94 92 89 89 87 88 87 85 85999 98100 99100 98 96 94 92 88 88 90 97103106107106109108108108108109110111111110111111112112112114114115114115115115115115115116116116116116117117117117117116116116116115116116116116115114114113112112111111112113113113113112110111111111110110111111111111111111112112112112112112111112112112111111111110111110111111111111111111111111110110111111111110111110110109110110109109109108107107107107107106106105104104103103101101100 98 96 93 90 90 90 88 85 85 87 88 88 87 84 83 83 83 85 87 92 93 93 93 93 93 92 91 90 87 87 87 86 87 88 90 90 89 90 90 89 86 85 85 84 82 81 81 83 84 84 84 82 82 82 82 82 82 82 82 82 81 81 81 80 81 82 83 85 85 87 87 87 87 87 84 84 86 86 85 84 83 83 80 80 80 80 80 80 81 81 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999148149147147147147145143140136134136137138141144999999999999999999999999999999999999999999120122122123121120119120123127130132132133134135134136136136136136134133133133133132131129128127126125124123123123124125125124124123123123123123122122120118116116115114116116118118119119119118117118116117116116115115115114115114115115111111109107106106105104103103102101101 99 99 98 97 96 96 96 96 97 97 96 97 94 94 94 94 94 94 94 93 92 91 89 88 90 91 90 90 91 93 92 90 88 86 84 86 85 87 88 87 91 98 98 99 99 97 93 90 87 87 85 88 95101106108111110109109108107107108108109110110110111111113114113115115115116116116116116115116116116117117116117116116115115115115115115114115115115115115115113113113113113113113113113113113111111111111111111111111111111111111112112112113113112112112112112112112111111111111111111111110110111111111111111111111111111110110110110110110110109109109108108108108107107107106106105104104103102101100 98 97 95 96 92 91 90 88 88 88 88 88 88 88 87 89 89 91 93 95 96 95 94 94 94 93 92 90 89 88 88 88 90 91 92 91 92 92 92 90 89 87 87 86 86 85 86 87 86 86 85 85 84 85 84 83 83 83 83 82 81 80 79 81 81 83 84 86 88 90 90 90 90 89 88 90 90 91 89 88 88 85 83 84 84 84 83 84 84 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999149149149147147147143143141139138135135135137134999999999999999999999999999999999999999999999120121122122121119116117119121124125127130132132133133134136135135134133133131131132131130128127126125123122122121122123123123123122121123123123122122121120118116115114114114115115116115115115115115115115116116115115116116114114113112110107107105105105105104104103103103103103102 99 98 97 96 97 97 98 96 95 94 94 92 92 93 93 92 91 90 91 90 90 87 87 87 87 86999 89 88 87 85 84 81 82 83 85 87 91 95 97 96 96 95 91 86 84 83 84 86 92 98103108109110110110108107107109109108108107108108108108109111113114115116116116115116116115114115116117117116116116115115115115114114114114115114115115115115115114114113113112113112113113113112112112112111112112112112112112112113113113113114113113113112112112112112111111111111111111111110110110111111111111111111111110110111111111110110110109109108108108108108107108107106106105104103102102101100 99 98 96 95 96 94 92 94 92 91 91 91 91 91 93 95 96 96 96 96 96 95 95 95 94 93 91 90 91 90 91 93 93 92 93 92 92 93 93 91 90 90 91 90 90 91 90 90 90 88 87 87 86 86 85 85 85 85 84 82 80 79 80 81 82 84 86 88 89 90 90 91 92 92 93 93 93 92 91 90 89 88 87 87 87 88 89 90 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999150149147146145142140138138137135133133132132128999999999999999999999999999999999999999999999999122122122122119116118121123125125127128129130130131133134133133132132130130131132132131130130129128125124122121121121121121121121122122122121120120120119117117114112114114113112112113113113114114116115115115115115116115114114113111110107106105104104105105104105104104105106105104104101100100100 98 94 92 91 92 92 91 91 92 90 90 90 90 91 89 86 84 84 85 85 85 85 85 82 83 82 81999999999 89 91 93 94 94 92 88 84 82 81 81 83 89 94100105104108108108108107107108108109108107108108108108109108110110112114115116116116116116116115115115115116116116116115115115114114114114115114115114116115115115115114113113114113113113113113112112112112112112112113112112113113113113113114114114113113113113113113113112112111112111111111110111110110111111112112111111111111111111111110110110109108108108108108108108107108107107105104104103102102101100 99 98 97 96 95 95 95 95 94 94 95 96 97 97 98 97 97 98 98 97 96 96 96 96 95 94 94 93 93 94 95 94 92 93 92 93 95 94 94 93 93 92 92 94 94 93 92 92 90 89 89 87 87 87 87 86 87 85 83 82 81 81 83 85 86 87 88 90 90 90 92 92 93 93 93 93 92 92 92 89 89 89 89 90 90 91 92 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999149149147145143143140138136134133132131131130129999999999999999999999999999999999999999999999999120120120120118118119122123124123122124125126127129130131132131131130130130131131131131131130130130128126124123122121121121121120122122122121120120119118117116116113113113113112113113113113114115116116116116116116115114113112112110107107107105104104105105105105105106106106106105105104101101 99 97 94 90 90 91 90 89 88 89 89 89 90 90 90 91 91 88 85 85 87 86 83 84 85999999 83 88999 90 90 90 91 88 86 84 82 81 81 80 81 83 90100101103105108107107106106106107107108108107108108108108107108109108109112114115116116116116115115116115116116115115115115115114114114114115115114114115114115116114113113113113113112113113114114114113112112112112113113113114114113113113114114114114114113113113113113113113112112112112111111111111111110111112112112112112111111111111110110109109109108108108108107108108108107107106106104104103103102102101101100 99 99 99 99 99 99 99 99100100100100101 99100100100 99 99 98 97 97 97 97 96 96 96 97 96 95 93 93 93 95 95 95 95 94 95 95 95 96 96 95 94 94 92 90 89 88 88 87 87 87 87 87 86 85 83 82 84 90 92 92 91 92 93 93 94 94 94 94 95 95 95 95 95 93 92 92 92 92 93 93 94 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999148148147145143143142141139137134133133132131130135999999999999999999999999999999999999999999999999116117118115113116118121122122120120120121123125127128129130130130129130130129131130130130131130130129127126123122121121121121121121121121120119119119118118118116115113113113112113113113113115116117117116116116116115114112111110109107108108108106105105105105105105107106106106105103103102102100 95 92 89 88 87 85 85 85 85 85 85 87 89 89 91 91 91 91 90 88 84 83 81999999999 87 87 86 88 90 89 87 86 85 82 80 80 79 79 81 83 96 98 99102104106105104104106106106107107107107108108107107107107108108109109112114115116115115114114115115115115115115115114114114114115116116115114114115115115115113113114113113113112112113112113113113113112112113113113114114114113113113114114114114114114114114114114113113113113112112112112111111111111110111111112112112111111111110110110109109108108108108108107107108108108107107106105105104103103102102102102102101101101101101101101102103102102100100101101101101101100 99 98 98 99 99 99 98 97 96 95 94 94 95 96 96 96 96 96 96 96 96 96 97 96 95 95 93 92 91 89 89 87 88 88 89 89 88 87 86 87 90 95 95 95 96 96 96 96 95 96 95 94 94 96 97 97 96 95 96 95 96 95 94 95 96 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999147145142143143143142139137136135135135133130129999999999999999999999999999999999999999999999999113115117113113115116119120119119119118119122125126128129130130129130129128128129128129129130130130129129126123121121120120120119120121122120117117117118117117115115114114113113113113113113115115116117116116116115112109109107109108107107107105105106105104105105106107107106105103102101102103102 95 90 89 88 86 85 85 84 81 80 82 85 88 89 89 90 90 90 88 84 83 81 83999999 87 87 88 87 87 88 87 85 85 85 83 79 78 80 81 81 86 94100101103106104104104105106105106106106106107108108106106106106106107108108111114115116115114114115114115115115114114115115115114115115115115115115115115115114114114114114114113113111112112112113112113113113113113113114113114114114114114114114115115114115114114114114114114114113113112113112112111111111111110111112112111111111111111110109109109108108108108108107107108108107107107106106105104104103103103103103102102102103103102103103103103103104103101101100101100101101101101100 99 99 99 98 98 97 96 95 95 96 97 97 97 97 96 96 96 97 97 97 97 96 96 96 95 93 93 91 89 89 90 90 90 91 90 90 92 95 97 97 98 98 99 99 99 99 98 99 98 98 98 98 98 97 97 97 97 97 97 97 97 97 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999145145143143145144141140139138136137137135133130131999999999999999999999999999999999999999999999999112114115116114115116117118117118118118121123124125127128128128129128128128129128129129130130130129127126123122122122123123122122122121119116115115116116116114114113113114113113114114113115116116116116115114113110108108107108107107107106103103104103102103104106106106106103100101102103103100 95 90 90 87 85 84 85 85 81 81 83 85 88 87 87 89 88 87 86 83 84999999999999 89 89 89 89 86 83 80 79 82 83 82 80 81 82 82 83 90 98102103105105104104105106106105105106106107107108107106105106106106106107108110114115115114113113113113113114114115114115115116114114116116117116115115115115114115114115115114114113113112112112112112113113113113114113114114114114115115115116116116116116116115114114114114114114113113113112112112112111111111111111111112112111111111111111110109109109109108108108108109109108108108107107106106105105104104103103103104104104104104104103102103103103103103102101101101101101101101101101100 99 98 98 98 97 97 97 97 97 97 98 97 97 96 96 96 96 98 97 97 97 96 97 96 96 95 92 90 91 92 92 91 92 92 93 94 97 98 98 99 99 99100101101101101101101102101100 98 99 99 98 98 97 97 98 99 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999144144144143143142142142141139139139137137136132135999999999999999999999999999999999999999999999999109109110115114115116118117117117116117119120121123125125126126127126128129129129129129129129129128127124125125125123124124122122122121119117116116114113114114114114113115114115115115115116116115115114113112110106106106108108107107106105103102101101102103103103104105104100 96 98100103103100 93 89 87 86 85 84 83 82 85 86 87 87 86 83 85 83 85999999999999999999999 86 87 88 87 86 84 83 80 80 80 83 82 84 84 84 87 90 96100102103104105105105105106105105105106106107106107107106105105105105106107108110114115114113111111111112112113113114115115115115114114116116116116116116116116115115116114115115115114113112111113113114114115115114115115114115115115116116117117117117117117117116116116115114114114113113113113112112111110110111110110110111111111111111110110109109109109109109108107108109108108108107108107107107106105105104104104104105105104104104104104104104104104104103103102102102101101100100100100100 99 99 98 98 98 97 97 98 98 98 97 97 98 97 97 97 97 97 98 98 97 97 97 97 96 95 93 92 91 91 92 92 93 94 94 95 97 98 99 99 99100101101102102102101102102103103100 98 97 98 98 98 98 98 99 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999144144143142142142142142142141140139138137136132135999999999999999999999999999999999999999999999999999108110112113115116117116117117117117118118119120122123124125125126127128129129129129129128128126124125125125124123123123122122122122120118116115114113112113113114115117117115116118116115114112110107106105105103102105106108108108108107104102102102102102101102102102 99 97 97 94 98101101 98 94 89 89 86 82 82 82 82 83 83 83 82 81 81 80 81 80 80999999999 87 87 87 86 86 85 83 83 82 81 81 82 83 85 85 86 86 88 92 96100102102103104105107106106106106106107106106106106107108107105105105105106107110112114114113112112112112113113113113113114115114114113113115117117117116116116116116116116114115114116115113113112113113114114114114114116117117117117116117117117118118118118118118118117117116115115114114113112112112111111110110110110110110110110110110110110110109110109109109109108108109109108108108108108108107106106105105105105104105104104104104103104104104104104104104103103102102102102102102102102102102101101100100 99 98 97 97 97 97 97 97 98 98 98 98 98 97 97 97 97 97 97 96 96 96 94 93 91 92 92 92 93 94 95 96 97 98 99100101101102102102102103103103102103103102100 98 98 97 97 98 99 99 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999143143142142142142142141141141138138137137132131999999999999999999999999999999999999999999999999999103108112112114116116116116116115116116118118120120122122124125126127128129129128127127126124124126126125125124124123124124123123122120118117115115113113114115115116116116117117115114113112109108107105103102101101104105106108107108107105103103103104103103102103102100 99 97 96 96 99100 97 94 90 90 88 85 81 80 81 82 79 79 79 79 79 78 78 78 78999 86 88 88 87 87 87 87 84 84 82 81 82 83 83 86 88 89 89 91 92 95 97100102102103103104104105105105105105106106106107107108109108107105104105106108110112112112111113112113113114114113113113113114114114113115116117117117116117117117117116116115115115116116113112112113113114114114116116116117117117118118118119118118119118117117118118118117117116116115115114113113112111111110111110111110110110110109109109109109109109109108108108108109110109108108108108109108108107107106105105105105104104103103103103104104103103103103103103103103103103103103102102102102101102101100100100 99 98 98 98 98 98 98 98 98 98 97 97 97 97 96 97 97 97 95 95 95 94 93 92 92 93 93 94 94 95 96 97 99 99100100101102103103103103103103103102102102101101 98 98 97 98 98 98 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999142143143143142142142142141141141140139138137134134999999999999999999999999999999999999999999999999999999109111111113116116115114114114114114116117119120120121123124126128128128128126124123122123125127127125124123123123124124124124122120119117115114113114115116116116118117117116113112112110109108107106104102102100103104104106107108108106104104104105105104103102100 99 97 96 94 93 96 99 98 98 96 92 89 88 86 84 81 79 78 79 77 76 77 76 77 77 78 79 82 86 88 88 89 88 87 85 84 83 83 86 85 88 90 93 93 94 95 97100101105107106105106106106106107105104105105105106107108107108108107107106105106107110111112112112113113113114114114114114113113114113113114115116117117117117117117116116116116115114114115116114113112113113114115115116116116117117117118117118118118118118118116117118117117117117118117116116115114113113113112111111111111111110109110110109110110110110109108108108109108110110109109109109108108108108107107107106106105104104104103103103103103103103103103103104104103103103103102103102102102101102101101101 99 99 98 99 99 99 99 98 98 98 98 98 98 97 97 97 98 97 97 97 96 96 95 94 94 94 94 94 95 95 95 96 96 97 98 99100100102103104104104104104103103102102102102102101 99 98 98 98 98 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999141143144144144144143143142142141140140140138138136138999999999999999999999999999999999999999999999999999999999107111110112114114112112113113113115117117118119120122124126127127127126124122121122124127128127125124123122123124124125123122121119118117114114114115115115115118118116114113111110109109109108105105104102100100100101103105106106106105105105105104103103102100 96 94 93 92 90 94 97 98 97 94 90 87 85 86 81 78 77 78 77 77 75 72 71 74 76 78 80 81 84 85 84 84 84 87 88 86 85 87 87 87 91 93 94 95 98100103107108108107107107107107106106106106107106104104106107108108108108109108107106105106109111112113113113113114115115115115114114114113113113115115116117117117117117116116117116116113113114115115114113113113113114115115115116116116117117117117118117117118118118117117118118117117117118117116116115115115114113113112112111111111110110111110110110110110110110109108110110110110110110109109109109108108108108108107107106105105104104104103104104104104104103104104105105104104104104104103103103102102101101100100100100100 99 99 98 98 99 99 98 98 97 97 97 97 98 98 98 98 97 97 96 95 95 95 94 95 95 96 96 97 97 97 97 98 99100101102103104105105105105104104103103103102102101100 99 98 98 99 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999145145146146146145143141142141140140139140140139143999999999999999999999999999999999999999999999999999999999105106108112114112111111111112113113115116117118119120122125124124124124123123124124127129127127124124123122122123123124124123121120117118116115115115115115115118117116114113111109109108108107105104103102100 98 98 97 98100102103103103104104104104103103101 98 95 91 91 91 91 94 95 95 90 83 76 77 75 76 76 73 70999 73 72 72 74 68 73 76 76 77 77 79 82 83 82 85 89 89 89 87 88 87 90 92 95 97 99103107108109108108109109108106105106106107107106105104104106107109109109109108107107107107107109111112113113113114116117117116115114114114113114114115115116116117116116116116117116115115113113114114114114114114113112113113114115116116116116117117116117117118117117117117116117117118117117118117117117116115114114114113112112112112112111110111111111111111110111110110110111111111111111110110110110110109108108108107107107106106105105105105105105104104105105105105105106105104105104104104104103103102102101101100 99 98 98 98 98 99 98 98 98 98 98 98 98 97 98 98 98 98 98 98 97 97 96 96 96 96 96 97 97 97 97 98 98 98 98 99100102103103104104105105106105105104103103103102102102101100 99 99 98 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999145146147147146144142142144144142141140141142142145999999999999999999999999999999999999999999999999999999999999103104110112112112111111111112113113114116115116118119121120120120120121123124126129129127127125125124123122123123124123124121118117117116116115115115115117116115114113113113110110110109108107104101 98 97 97 97 98 99100100100 99 98 99102103102102103100 95 92 90 90 91 92 93 94 91 87 82 80 76 73 74 73 71 68 67 65 64 62 63 63 69 75 75 72 72 76 79 81 82 87 89 88 88 89 88 90 94 95 97100105107110111112110109110109108106105106107108107106105104103106109110110109108108108107108109110111113112113114115117118119119118117115114114114115116115117116117117115115116116117116116116116115116114115115115114114113114114114115116116116116116116116117117118117117117116117117117117117117117117117117116115114115114113113113113112112111111111111111112111111111111110111110111111111111111111110110110110109109108108108107107106106106106106105105106105106105106106106105105105104104104104103103103103102102101100100 98 98 98 97 98 98 97 97 97 97 97 98 97 98 98 98 98 98 98 97 97 97 96 96 97 97 98 98 99 99 99 99 99 99100101102103103103104104105105104104104103104104103103103102102101100100 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999145146144143143143142145146148147146144143142143145999999999999999999999999999999999999999999999999999999999999100101107111112113112111111111111112112112113114115117118118118118120122125128129129129127126125125123122123123124124123122120118117116115116115115115117116116115114113112111109110110110108106103101 99 99101101101 99 98 97 95 95 97 97 99100101 99101 98 92 92 92 92 92 93 93 94 92 86 82 80 78 77 76 74 73 68 63 61 60 60999 61 64 71 74 73 74 77 78 79 83 88 88 88 89 90 92 95 97 99101104105107111111112111109110109107104103105107107106104103102102106109110110110109109109110111112113115116115116117118119120120120120120118116115114115115116116117117117116116116116116117117117116117117117117117117116116115114114114115116116116115115116116117116116117117116116117117117116116116117117117117117116115115115114113113113113112112112112112112113113112112112112112111111111111110111111111111111110110109109109108107107107107106106106106106105105106106106106106105105105105105105104104104103102101101101101100100 99 98 97 97 97 96 97 97 97 97 98 97 97 98 98 97 97 97 97 97 97 97 97 98 98 98 99100100100101101102102102103102103104104104105105104104104104103103103103103103102102101100 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999143144144144143143145146148150150149147146143143999999999999999999999999999999999999999999999999999999999999999101100103108111112111110109110111112112112112113114115117119121124127128129130130130129127125125124123123123124124123122121119118118116117117116116117117118116115115113113112109109109109106103103103102101101101100 98 97 95 92 90 92 93 95 98 99 97100 98 91 92 93 92 93 94 94 93 95 90 83 79 78 77 79 76 71 69 64 59 60999 61 62 65 70 74 75 77 80 81 81 84 86 87 89 93 95 96 96 99101103105109111113114112111110109108107103102103104104103102103100102106109110110110110111112112113115116117118118118119120120120121121121121121120118116116115115116116117118117115116116117117117117117117117117117116116116115115114114113113114114115115115115116116117116116116116117117117116117117117117117117117117117116115115114113113113113112113113113113113113113113113113112112112112112111111111111111111111110109109109109109108108107107107107106105106105106106105105105106105106105105105105105105104103102102102102101101100100 98 97 97 97 97 97 97 97 97 98 98 98 98 98 98 98 98 98 98 97 97 97 97 98 99100101102102103103103103103104104104105104105105105105104104104103103103103103102102102101100 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999140142144144145144145147147149151152151148146143142999999999999999999999999999999999999999999999999999999999999999999101101104108111110109109110111112112114114115117118122125128129129129129129129129129128126125125124124123123123124124123120120119118118118118118118118119118117116114112110108108108106104104104104104102102102102100 97 94 91 88 88 90 91 95 96 96 99 97 91 91 91 93 93 93 94 93 94 91 85 81 78 76 77 77 74 71 63 58 57999 61 64 68 72 76 78 77 80 82 82 86 88 91 94 97 99 99100102105106107111113113113113111111110108107103101100100 99 99100100100103108110110111111111114116116117118118119119120120120120121121121121121121121121121120119116115114114116118118117115116116117117117117116116117116116116115115115115114113113113114114115115115116116116116117116116117118116118118117118118118118118116117116115115114113113114113113113113113113113113113113113113112112111111111112111111112112111111111110110110109109108108108107107107107107106106106106106106106106106105105105105105105105104103101100100100100 99 99 99 98 98 97 97 97 97 97 98 98 99 99100100100100101101100100 99 98 97 97 98 99100101102103103104104104104104105105105105106106105105105104104104104103103103103103102101101 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999139140143144145146146146147149151153152150147144143143999999999999999999999999999999999141141141139138138136136999999999103103103105108109109109111113113115117120123124126128129129129130130130129129129129128128126125125124124125125126125124124123122121119119119119119119120120118118115112110108108106106105105106105104104104102102101 99 96 93 90 90 92 94 94 96 98 97 97 92 89 90 92 94 94 95 94 93 89 84 78 76 78 73 76 76 71 61 59 60 61 62 67 72 75 77 78 81 82 84 87 90 93 95 97 99100100103104106108110112113114114114113113110108107104100 99 99 99 98 99100102106110110111113114115116117118119119119120119120120121120120120121121121120120120120121121119118116115114117118117116117117118117117117116118117117117117117116115115115114114113114114114116116116116116116116117117117118118118119118118117118118118117117116116115114113114114113113113113113113113113113114114113112112112112112112112112112113113112111111111110110110109109108108108107108108107106106106106106106105105105105105105105105104104103101100 99 99 99 99 99 99 99 99 98 97 98 98 99 98 99100101103102101102102102101101101100 99 98 98 98 99101102102103104104105105105105105106106106106106105106105105105105104104103103103103102101 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999141143145146148149149149149150150150148144143144140999999999999999999999999999139141143143142142141141141139137132999999103102102105106107110112115116120122124126129129129130130131131131130129129129129130130129127126125124125125125125125125123123122119119119117117118117118117117116113110108106106106106106107107106105104102104103101 99 97 95 94 94 94 96 97 96 96 93 91 90 89 90 91 91 91 92 91 89 85 83 79 72 70 72 69 65 60999 61 65 67 70 73 75 77 79 83 85 86 91 95 98100100102103104104107109110113114114113114115113113112109107104102100 98 99100100103107109110111114114116117118118119119120119120120121120121122122121121121120120120120119118118119119119118116116117118117117118118117116117117117117117117118117117116115114114114113114114115114115116117116116117116117118118119119120119119118118118117117117117117115115116116115115116115115114114114113113114114113113113113112112112112112112113113112112112111110110110110109109109108108108108108107107107106107106106106105105105106105105105105104103101100100100 99 98 98 99 99 98 99 99100100101101102103105105104104103103103103103102101100 99 98 99101102103103104104105105105105106106106106105105106105105105105105105105105104103103103102 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999142143145147147149150150149149150150147144142141139131999999999999999999999999138140143144143143143141140141140137133129128106103102103105107109114118121124126127128129129129130130130130130130130129129130130130130129128127125124124124125126125124122120118117117116115115116116117115114113110108106106107107108108108107106105104104103104103101 99 98 97 96 98 98 96 95 97 95 93 92 92 91 89 90 92 91 89 85 83 75 68 67 64 62 61 61 62 64 68 69 70 72 74 78 81 84 88 91 95 99101103104105106108110111113114114114114116115114115113113111109107105103101101103105107110111112113114115117118118118119119120120120121121121121122121121121121120121120119118119119119119119118117115117119117117117118117117118117117116117117117117116116115114114113114115115115115115116116116116116118118119120120120119119120119119117116117118117116116116116116115115112112114113113113113113113113112112112112112112112112112112113113113113112111110110109109109109109109109108108108108108108108107107107106106106107106106105105104103102100100100101100 99 99100 99 98 99100101102103104104105106107106106105105105105104104103102101100100100102103104104104104105106106106105105105106106106105105105105106106105105105105104104104 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999146148148147148150150148150149149145141139136135999999999999999999999999999999140143144144143143141140138137134130127123116106103101101105109114121125128128129129127128129129128128128129128128128129129129128128129129128127126124124125125124123120116116115116116115114113113114114113112110108107107107110111111110109109106103104104104105103103102101101102103103103102101 99 97 96 94 92 92 92 89 86 83 78 72 66 63 63 59 60 64 66 68 70 70 71 72 75 80 84 87 93 96 98101102104106106108110111112114114115115115116116115115115114113111111110105105105107108110111112113114115117118117118119120120121121121121122122121122122121121121121121120119118118119119119118118117115117119119119119119119119118118117117116117116116116115115115114114115114115115115115116116118118119119119120119119120120120120119119118118118117117117117117116115115115112114113114112113111111111112112111111112112111112112112112113113114113113112111111111111111111110109109109109108108108108108107106106106106107107106105104102101102100100100101101101101101102101100101101101103105105105106107108108107107106106106106105106105104103102102103104104105104105105106106106106106106106106107106106106106106106106107106106106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999148149150148148148149149148148146146142140135134999999999999999999999999999999139141144143142142140139138135134131130127124120113999100100102106113118123127127128128127127127126125125126126125125125126126125126127127128127127127126125125124124121118115114114114115114113113113113112111110110108108108110112111112110108109109107106106106104104104104103104104104101100101101103101101 98 95 93 93 90 86 81 77 71 60 60999 60 63 66 69 70 71 70 71 73 78 83 87 93 99101102104104106107108111112114114114115116115116116118117116115115114113113113111109109110111111112113114115117118118118118119120120120121121122121122122122122122121121121121120117117118118118118118117118117117119119119120119119119120119119118117117116115115116116114114114114115115115115116117119119119119119119120119119120120119119119119118118119118117117117117116115115115115114114114114112112112111112112111111112112112112112112112113113113113113112112112112112112112111110110109109109109108107107107106106106107107107106105104102101101100100102102102102102102102102102102102103105105106106106108108108108107107106106107107106106105104104104105105105105106105106106107107106106106106106106106106106107107107107107107107107106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999149149149150149149149150149149148145145142140137136999999999999999999999999999999141144145143139136135128132131130131131129124122108102 98 96100104111116120124126125125126126126126125125124123124124124125125124125125125126127127127126125125123122119116114112113114113113113113113112112110109109108108108110111111111110109110109109108107107106106105104104104103101100101101101102101100 99 96 94 94 91 88 85 81 73 60 59 61 65 67 68 68 68 68 68 70 75 81 88 93 98101103104105107108108112113114115114115115116116116117117117116115115115116115114113112111110111112113114116117118118118118119120120120121121121121121122122122122121120120121121120119119118118118118117117118118116119118120120120120121120120121120120118116116115115115115115115116115115116117118119119119119119120120120120120120119120120119120120120119119118118118117117113112115115113113114114113114114114113112110111111111111111111112112112113113113112113113113113112112112112111111110110109110108108108107108107106107106106106104104103102102102102103104104104104104104104104105105105106106107107107108109108109108108107107108107107106106105105105105105105105106106107107106106106106106106106106106107106107107107108108107107107107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999148149149152152151151149149150149146142141139138140999999999999999999999999999139143143144141136133137135127128130129126123121109 98 97 95 94 98103109115120123124123124125126126126125125125124125126126127126126125125124124125126127126125125122121119116114114113113113114113112111111111109107107107109109109109110109109109108108109109109109108109108107106105103100100101101102100 99 97 95 93 91 91 91 89 87 81 71 63 62 65 67 68 68 66 65 64 65 69 76 81 91 97 99102103105107109111111113113113114114115116116116116117117117117116116115116117116115115115114115115116117118118118117117118119120120120121121121121121121122122121121121121122122121119118118118118118117117117118116118119119119120120120120121119120121120118117116115115115115115116116116116118119119119119119119119119120121120120119120120121121121121119119119118118117114114113112112115114114114114114114114113112111111111112112111112112112113113113113112112112112112112111112112112111111110109110109108107108107107106106107107107104103104103103103103104105105105105105105105105105106106107107107108108109109109109109109108108108107107107106105105104105106105106106106107106106106105105106105106106106105106106106107108108108107107107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999149150152154156155153151151151149147145141141140140135999999999999999999999999141143143141139139139137130130128127125118111104100 94 94 91 92 97103107115120123123123124125125125126127128128127127127126128128128127127126125124124124125125124123121120117115113114114114113112111111111111110109110110110109109109109109109108107106106107107108108109109108109107105102101100102100 99 97 95 93 90 88 87 86 84 81 70 65 63 65 68 70 69 68 67 65 65 64 69 76 83 92 97101103105107110112112112114114114115114115116115116115117117117117117118117116116116117117117117116116117118118118118118119120120120120120121120121121122122122122122122121121121121121120119118118118118117117118118118117119120119119120120120121121121121120120120118116116116117116116116118118118119119119119120120119120119120121120120120120120121120120120119119116116115114114116113112114114114114114113113113113112112110110110112111112112113113113113111112112112112111111111112111111111111111110110110108107107107107106106106107105105105105105105105105105106106107106106106106106106107107107108109108109109109109109109109109109108108108107106106105105105106106106106106106106106105105106106106106106105106106106106108108108108107107107106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999149154155155158159158155153151150147144141140139139140140999999999999999999139140141141140140142141139133131127121110105101 98 96 94 92 91 92 97104108118119122124125125125126128129128128128127127126126127128127127127127126125125125125125124123122121118115114115114114113112113113113113113113112111111110111110108108106104102101102102101103104105107108109108107105101102 99 98 96 94 92 89 88 87 86 84 80 71 61 61 63 67 72 73 69 65 64 63 63 65 69 75 84 94100103106109112113113114115116115115114114114115115116116117117116116117118118117116116117117117118117118118118117117118119120121121121121121121121121122121122121122122121120120121121122121120120118119118119118118119119118120120120120120121121121121122122122121121120119118117117117117117119119118119119120120120119119120120120121121120120120120120120120120120117117116116114114117116116116115115114114113113113113112111111110112112113113112112112112112112112112112112111111112112112112111111112111110110109108106106106106106106106105105106106106106106106106106106106107107108107108107108108108109110109110110110110110110110109109109108108108107106105105105106106107106106107106106106106106106105105105105105105106107108108107107107106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999151154155155155155158157155154151149146142138137137140143143999999999999999999136138139140140141141139138134125116113107105100 99 98 96 92 91 94 99104108114116121123125126126127128128128128128128128128128129129129128127128127127126126124125124123122121120116115116115114114114115115114114113111110109109109108107104100 97 97 95 95 93 93 92 91 90 96101103108108108106103102 99 98 96 94 91 87 86 85 84 79 74 66 63 65 68 71 74 73 68 63 59 59 64 68 70 78 87 96101104111113114115115115115115115115115115114115115115116116117117117117118118118117116116118118118118118118117117117119120121121121121121121120121122122123123122123123122124122121122122121121121120119118118119119119119119119120121121121121121122121122122122122121121121121119118118118119120120118118119119120120120118119120120121121120119120120119120120120118117116116116116117117117116116116115114114113113113113112111111111111112111112112111111111112112112111112112112113113113113112112112112112111111110109107106106106105105105105105105106107107107107107106106107107107108108108108108108109110109109110110110110110110110110109109108108108107106106106106107107107107107107106106106107106105104104105105105106107107108108108107106106106105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999152154154155154153152154154154154153151148143140139138138141143144143999999999999135137138138138138138138138138134124117113104102101101101 98 96 96 97100104105107114122124124125127127128129130129130130130130130130130129129128128127127126126125126125124123122120118117116115115116116116116115114112111110108108108108107101 96 95 91 92 94 94 89 88 88 87 87 93 95102107107105103103100 97 96 93 94 92 89 85 83 80 73 68 69 69 72 73 74 70 63 60 58 61 62 66 72 83 92 98104109113114115115116116116116116115116115115114115116116117117118118117118118118118118117118119118119119118118118118119120120121120122122121121121122122122122123123123122124123122122122122121120121120120120119120120120120120120121121122122122122122122122122123122122122122121120120121118119120119120119119119119120119120121119121121121119119120119120120120117117119119118118118118117117117116115114114113113114113112112112111111111111111111110111111111112112112112112113113113113112112111111111111111111110109109106106106105105105104104105106106106107107107107107108108108108108108109109108108109109110111111111111111110110110109109108108108108107106106106107107107107107107106106106107106106105104105105105106107107107108108107107107106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999153153153154155155153151150151149152151150148146142140140139139142143143143999999999999137137138137135132134137136137133125121114106104102102102100100100100101104104105116123124127126127129130131132132133132132132131131130130130129128128127126125124125125124124122121119117117116117117118118118116113112112111109109109110109106103 98 94 94 92 90 88 89 87 84 86 83 85 96103104105104103100 98 96 94 93 89 90 81 80 79 74 67 67 68 71 73 72 68 59 55 57 64 64 70 79 88 96102108113114116115116117117117116116117116117117116116115117118118118119119119118118119118118116117119119118118118118118119120120121120121121121121122123123122122124122122122123123123123123122122122122121121120121120121121121121121121120121122122122122121124123123124122122123123123123122120120120121121121119119120120121120121121120121121120119119119119119119119120120119119118119118118117117115114114114114114114113112112112111111112112112112112112112112111111112112112113113112112112111111111111110111111111110109106106106105105104103103105106107107107107106107107107108108108108109110110110110110111111111112112112111112112111110110109108108108108107107107107108107107107107106106106106106106105105105105106107107107108108108107107107106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999153153155155154154153151149146145146147147147145144142141139138140142142144143999999999999138137138137134132134135135135133127122117112112110106102101102103104105105107111118122126127127130130130131133133132133132131131131130130130129128128126125124124124124125124122121119118118118119119118119118117115114113112111111110112111108110102 98 95 89 86 85 92 85 79 81 81 81 88 97101104105104101100 97 92 89 88 97 88 73 73 71 66 65 66 68 70 68 63 59 55 58 59 68 78 86 93 99105112115116117117117117117117117117117117117117117117117117118118118119118117116116117119119117117118119119119118118119118119119120121120121121121121121121122123123124124124123123123123123123122123123122122122121121122122122122122122121122122122123123123126124124124124125125124124124123123122121121121121121121121121121122120121121121121121119119119120119120119120120120120119119118118117115114113113112111113113113112113113112111110111111111112113112112112112112112111112111112111111110110110109109110110111111110107106106105104104103104105106107107107106107107108107107108109110110111112111112113113113113113113112112112112111111110110109109109108108107107107108108107107107107107106107107107106105105105106107107108108108108107107107107106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999155155156155153154153152150149146142140142142143142142142142140139139140142142143999999999999138138137135133133132131133133131129125120116116113110109110110112112110111113117121123126127128128129130131131132132131131131131131130130130129128125123121121121123124124125124121120120119120120120120120120119118115114114113113113111108111111102 94 91 85 85 86 82 79 91 79 81 79 85 91 97102103104104102 96 94 89 83 82 70 68 70 70 66 65 66 67 66 65 58 58 60 63 67 75 86 92 96103110114116117117117116117117117117117117118118118118118118118119118118118116116116117117118119118117118119120120119118118118118119119120120121121122121122122123123123124125124124125123124123123122123123123122123122122123123123123123123123123124124124124125125126125125125126126126126125124124124123122122122122122122121122122122122122122121121121120119120118120120121120120120120119119118118115114113113113113113113112112113112112112112111111111112111111111111111111112112111112111111110110109108108108109110111111110109107106105104104104104105106106107107107108108109109109110112113111112111112112113113113113113113113112112111111111110110109109108108108108108108107107107107108107107107107106106105105105106107107107108108108108107107107106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999155156158158157155153153152150148147143142141142141142141141141142141140140141141141999999999999999139138137135135134134134134133133130125121119119117117118118119119119119118119120122124126128128128129130131131131131131131131131131130130129129127124123121120119121122124124123121121121121121121121122121121121120118118116117116115114112107104 94 91 90 86 83 80 77 78 76 76 76 78 82 87 93 99101101101 99 94 91 85 82 70 70 68 67 67 66 65 67 66 65 62 65 65 67 67 71 80 90 94101108114115116117117117118117116117117117117117119118119118119119119119119119117116117118117118119117117117119120119119118118117118118119119120120121120121122123124124125123124124123124125124124122124124124124124123124125123124124124125125124125125125125126126126126125125125127127127128127127126125125124123123122122121121122121121121122121121122122121119119120120120120120120119119119118117116114114114114114114113112112111110111111111111111111112111111111110110111112112113111111111109107107107107107107107108109111111111109106106104104104104105106106107107108108109111112111112112112112112112112112113113113112112112112112111111111111110110109109109108108108108107108108108107107107107107107107106106106106106107108108109109108108107107107107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999156156158158158155155152153151149147146145145146145145143141141141140140139138138144999999999999999139138138137138138137137135132131129124120119121120120119119120121122121122122122122123125127128129129130131131130131131131131131130131129130130127123121118117118119122125124123121121123122122121120120120120120119118118117117117114113109103 96 92 92 90 87 85 84 79 75 74 77 76 78 82 85 90 96100100 98 95 88 88 88 69 69 66 68 68 68 68 69 69 67 66 65 67 69 71 72 75 85 90 97102108112115115116117118118117117117117117117118118119119119121121120120120119118118117118118118118118117118118120120120119118119119119119120120119121120122123124124125124125124124123125125125125124125124124124124124124124124124125125126125125125125125125126126126126127128127127127128128127129128128127127124124123122122122121121121122122121121121120121119118119119120119119118119119118118117116114114113114113114113113112112111111111111111111111111110111111111111111112113112111110109107106106106106107107108107108110111111109107106105104104106106106107108108109110111111111111111111112112112112113112113112112111111111111111111111110110110109109109109108108108108108108108107108108107107107107107106106106107108108108109109110108108107107107108108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999156157158158158157155155153155153152150149148148148149148147145143142141139137136138999999999999999999139138138138139139137135134132129126123121120120120121122122122122122122122123123123123125127128129129130130131131131131131132132131131130130130127124120118118118120121122124123122123121120119121120119119118117114113112110112113113111108104 97 94 93 93 88 86 86 82 78 76 78 78 80 82 86 90 96 99 98 92 86 80 81 69 69 67 66 70 71 70 73 76 77 77 69 74 77 79 82 81 86 89 94101107110113114115116117117117117117117117117117118119119120120121122122121121120118118118118118118118118118119120120120120120120120119119120120120121121122123124125126126126125125126125125125126125124125124125124125124125124125125125126126125125125126126127129130129130130129129130131129129131130130129129128128127126125124123123123122122122123122122122121121120119119119119118119119119118117117114114114115114114113113113114113112111112112111111111111111111112111112112111112110109108107107106106106105105106106106107110111111110108107106104104106106106107108108108110110111111110111111111111112112112112111111111111111111111110110111111110110109109109109109109109109108108108107107107107108108107107106106107108108108109110110110109108108107108108108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999155156157156157157156155152152154154155154154156156155156156154151149147145142140138144999999999999999999999139140140139139136133132131125124124124124124126129131131129125124122122123123123125126127127127128129129130131130130131131132132131130131131128125123120119119120121122122123123122118118118120118117115110110108107105105105107110110108106 98 95 94 93 91 90 90 86 83 83 82 81 85 85 89 93 96 96 94 89 76 68 65 68 68 70 73 75 76 78 77 84 88 87 82 79 87 90 89 88 91 95102106108111112114116116117117117117116116117118119119119120121121122122122122122122122121119119118118119118118120121121121120120120120120120121121121121122124125125125125126126125126127126126126126125124124124125125125125126125125125125126126126125125126127128130132132132133133133132134133132132132131131131130129128127127126125125124124123122123123123123123122119119118119120119119119118117117117117116116115114115114114114114114113113112113112112112112112112111111111112112110108108107107107106106105104104104105106106108111111110109108106105104105107107107108107108109109110110109110110111111112112112111111111112112112111111111111111111111112111111110110109109109109109109108108108108108109108107107107108108109109108110111111111110109108108108108109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999157157156156156157156157156155156156156157158159159160160159159157156152148143141142141999999999999999999999999142143142141137134130127125127129130131132133135134135134132126124123124124125126127127126127127127128128129131130131131131131131130131131129125124123120121122122121121122123121119118117116116113110106105105105104102102103105107107105 99 95 94 90 90 91 93 92 90 91 90 91 92 93 94 96 97 94 91 83 73 68 69 69 73 75 77 79 82 83 89 91 90 89 91 92 95 95 98101 99101105108111112113115116115117117116117117117119120120119119120121121122122123122123123123124123121120121121120121121122121121121120120120120121121122122123123125125125126126126127127128128127127127126125124124124125125125125125126125126126126126126125125125125128130131132132134135134134134133133132132132132131130130130128127127127126125124124123123123123124123122121120118120119120119118117117117116116115115115114115114114114114113114113113114113113113113114112111111111111110108107108108107107107106106104104104105105105106109110110110109107105105105107107107108108108109109108108109110110111111112111111111111111112112112113113113113113112112111112112111111110109110110110109110109109109109109108108107108109109109109110110111112110110109109109109109110 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999159159158157157157158160161162161162161162161162163163162161161160161159155150144143143144999999999999999999999999999144144144139134130130128128131133134134134135136135135134131127128129127126128127127128128129130129129129129130130130130130130131131132131126125125124122123122121123123123122118116116114112110107104104105105104101100 99100103104104101 94 92 88 90 87 88 88 88 90 93 94 94 93 92 91 89 88999 75 69 72 74 75 76 78 83 85 86 86 90 93 93 93 95 98100102104104103106108110110112114114116115116117117117119119121121121120120121121122122123123123123123123124124124123123123122122122122122122121121121121121122122123123123125124125125127128126127129129128127127127127127126125125126126126126126126126126126126126126126126127128130131133133134134135134134132132131131131131131130131131130129128127126126126125125124124124124124123123121121118119119120119118118116116116115115115115115114114113113112113112114114114113113113113113113111110111110108107107107107105106105105105104104103104104105105107110111110110108106105105107108109108108108109108107108109110110111112111110110110112112113113113113114113112113113112112113114113112111110110110110110110110109109109108108108108109109110109110110111111111111109109109110109109110 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999158159159158158159159162165166167166166165165165164163163161161161160161160155151147144143142999999999999999999999999999999145146141138135132132132134134135135135136136136136135134131131130129129129130130131131131132132131131132131131130131131131132131132132128127124123122122122122123122121117116116115114113110107106105106104102 99 96 97 99101104104100 92 89 86 84 81 82 82 84 86 88 87 85 83 81 77 77 73 68 72 72 72 77 78 79 84 86 88 84 86 91 94 98100100103106107108105106107111112113114113115116116116117118120121121121121120119120121121121123123123123124123123124124124124125124123122122122122121121122121121123124124125125125125125126127128129128129128129129127127127127127126126126126126126126126126126126126126126126126126127129132133134134134133133132131130130130129130129128128129130129129128128128126126126125124124123123122123123121118118118118118117117116116116115115115115114115114113112111110111112111113113113113113112111111112110110108106107107107106106105105104104104104104104104104104105108109110110110107105105106107108108108108108108108109109110110111111111111111111112113113113113113113113113113113113113113113112112111111110110110110110111110109109109108109109109110110110110111111111111111110109110109109109110 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999161160160160159160160161163165166166167166166166166166164164162160160159160158155150148146146144149999999999999999999999999999999147145143138136136135134134135136137137136136136136135134133131130130130132132132131131130131131131132132132131132132132132132132133130126124123122122122122122121120117116115116115113111108108104103102 99 97 96 94 98100103101 93 89 86 85 83 82 82 82 82 82 83 81 81 79 77 74 72 69 70 72 71 73 76 79 82 86 83 86 86 87 90 98 99102104105107111111112111113114114114115115116116117119119120121122122122121121120121121122123123124124125125124124124124124123123123124123124123122122122122122123124125126126126126126126127128128128129128129130128128127127127128125125126126126126126126126126126126126125126126127129131133134134132131130129129129128128127128127126127126127127127128128127127126126126125125124124122122121122122119118117118116116116115115115114114114114114113113111110109108108109110111111113112112110110109109108107107107107107106106105105104104104104104104104104104104104107110111110110108107106106106107107107108107108108109110110111111110110112112113113113113113113113114114113113112112113113113112112113112110110110110110111111110108108108108108109110110111110111112113112111111111110109109109111 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999161161161160161160161160160161163164165166166166166166165166165163160158157157156155152151150149148146147999999999999999999999999999999146146144141140139139138138137138138137136136135135135134134133132131131132132130130130130131131131131132133132132132133133132132133132126123122121122121120121121119117116116115115114112108106103101101 98 94 95 96 98102103 98 88 86 84 84 84 83 81 80 79 78 77 75 75 74 74999 70 73 68 69 72 71 76 80 85 87 84 85 87 88 96101100103105107109112113114114115115116117116117119119119120121121122122122122123122121121122123124125125125125125125125124124124125125125125125125124123124124124124125126126127127127127127127127127129128129128130130130130128127127127126126126126126125125126126126126125126126126127128131133133132131129127127127127127127126126126127126126126126126126126127127127126125125126125126125123123123123123121119118116116116115115115115114114114114113112112110109108108109108109109110110110110110109107106106106107108108107107106106105105105105105105105105105105105105106108110111111110108107106106106106107107107107108109110110110110109110113113112114113113113113112112114114114112111112113112112113112113112110111111111111111111110109108109109110111111111111112112112112111111110110110110110111 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999161162162162161162161161161161162162163165166166166165164163164166162159156155154154154154154154154153152999999999999999999999999999999999148147146144143142143141141139139137135135135135135134133134133133131131132131132132131131131131132132132133132132133132133133133133133129124122122121120119120119117117117116117117116114111106103100 99 97 92 93 95 99102102 97 89 85 84 85 83 83 83 80 76 74 72 72 73 73999 79 76 76 77 76 76 79 79 75 76 83 83 86 88 89 96102102103106109110111112113113114116117118118119120120120120121122122122123123123122123123123124124125125125125127127127126125126126125125125125125125124125125125126126126127127128127127127128128129127128129129129130131131130129128127126127127126126125125125125125125125126126127128130132133132129128127126125125126126125125125125125125126124125125126126125125126126125125125126126126124123123123123122120117117116115115115115114115114114113113112111110108106105106107107107108108108109107107107107107108108109108107108107106105105105106107107106106107106106106106107110110110111110109108107107107107107107107108109110111111110110111113114115116115114114114114114114115114113112112112112113114113113112112111111112112111111111110110110110110111112112112112112113111111110110110110110110111 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999162164163161161162162164164164164164165166167167164162162163163164162159156155155156158158160158159156158999999999999999999999999999999999999149148147145145144144142140139137136136135134134135134134133132133133133133132132131131131132132133133134135134135134133134134134134132127124123119120119117117116116117116117118118116114108106101100 98 94 92 94 98101100 93 90 87 86 85 84 83 80 79 76 73 70 66 67 78 77 80 78 79 80 81 81 80 79 77 75 79 83 86 88 90 95102101104107107104105107108111113114116117117119119120120120121122123123123124123123122123124125125125126125125127127127127127126127126126126126126126126126126127126127126127127128128127127128128128128128129129130131131130131131131130129128127127126126126126125125125125126128128131132133132129127126126125124124125125124124125125124125124124125124125126124123124125125125126126126126125124123122123124121119116116116115115113114115114113114112112111109106105105105105106106106107106107106107107107108107108109108108108107107106106106108107108107108108108108108109108109110110111111110110110109108108107107107108109110111111111112113114115116116117116115114114115116115116114112113113113113113113113112112112112112112112112112111110110111112112112111111112113112111111110110110111110110111 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999163163164163163162163165165165165166166167167168167163164163162163163163160158157159160162164163161158154999999999999999999999999999999999999999139999999145145145144143141139137137137137136136136135135133133132133132132132131132134133134133134133133134133135133133133134135135134130125122119120120119117116116117118118117118117115112108103102 99 98 97 97100100 96 92 88 86 85 85 84 82 81 79 77 76 76 75 84 82 81 83 83 84 85 84 82 80 80 79 78 78 81 85 87 90 94 99100101102 98 92 96100101106111113116117117117119119120121122123124123125124123123123124124125125125126125125127127127128127127127127126126126127127126126126127127127127128128128129127128127128128128128130129130131131131132132131131131131130130129128127127127126126127128130132132133132129127126126125124124125124124126126124124123123123124124124125125123124124124125125125126126126125124123124124123122120117116116114114115115115114113113112111109108106105106106106106106106107107107107107108108107108108108109109108108108108108108108108107107107108108108109109110110110110110110110109109108107107107107108108110110111111111112113114114117117116116115116116116116116116115114114114114114113113112112112112112112112113113113112111111112112112111112112113113113111111111110110111111110111 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999162162162162163164164166166166167168168168168170170164164164163162162163162163164165167169169169165167168999999999999999999155156157999999999999999999999145145145144143140139138139138138137137137137136135135135136135136136136136135135134133134134133134134134133133133133134135134132128122118118119117117117117118119119118118117115112109104103101100101101101 99 95 91 89 85 86 85 83 84 81 79 78 77 77 81 83 85 87 88 88 86 86 83 79 78 77 77 78 79 78 79 84 87 90 93 97 99101 96 93 97101100103105112114116117117118119121123125126125125125123122122122123124124124125125125126127128128128128128128128127127127127127127128128128128128128128128128128127128128128128128129130130131132133133134134133133133132131132131130130129129129128131131133133133133130127126125125124124124124124124126125124123122123123124123123124124122123123124124125125125125125124124123124123122121120119116115115115114114115114113113112110110108107107107107107107108109108109108107109108108108109109109109109109108109109109109109108107107108108108108108108108109110110110109109108107107108108108108109110111111110110112112113113115116116117116115116116116116116116116115114114114115113113112112112112112113113113113113112112112111111111112112113114114113111111110111111111112111111 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999161161163163163162162163165165166166168168168169170171169166164164164164164166168171174175175174172170167999999999999999999155155155155155153156156157999999145146146144142139138139138138139139138137138138139139139138137137136135134134134134133132132131131131133133131132133134134134133130123118116117117118117118118118119118118117115114111105105103102102103100 97 95 92 89 86 84 82 81 83 82 79 80 82 82 85 88 90 92 92 91 88 83 80 77 76 75 74 74 77 79 79 81 85 86 89 92 97102101100102100102103104109112115116118119121123125126126125126125124123122122123123124124125125125127127128128128128129129129128127127127127127127128128129128129128128128128128129129129129129130131132135136137137137137136136136136135134134133133133132132132132133133133134131128127126125125124124124123123123125124124122121122122122123123123122123123123124124124124125124124124124123124122122121120118116116115115115115114114113113112111110109108107107107107107109110110109109109109108108109109109109110109109109109109109109109108108109108109108108108108108108108109109109109108108108108109109110110111110111110111112112113113114116116117116116116116116116117116116117116115115114114114113112112112112112113112112112112112112112112112113114114114114113112111111111111112113112111 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999162162163163163163162163163161162162165165166167169171173173173169167166166167170174176177176177175174172170999999999999999999153155156155154154155155154999999999146146145141139138138138138139141140138138139139138138138137136135136135135134131130129128127126128130130131131133134134135135130127121117117116117118118119118118118118116115115110105105103101101100 98 95 93 90 86 83 76 76 77 78 79 82 86 86 87 88 92 95 96 94 92 88 84 79 78 77 77 75 73 73 76 78 80 81 83 86 89 91 93 96 97 99 99100102103107113114117118120123125125126126126126125124123122123123124124124125125126127128128128128128128129129129128128128127127128128128129129128128128129129130130131131131132133134136137139140140140140140139138139138138137137136135135135135135134134134133129128127127126125125125125124123124124123123122121122122122122122123122122122122123123124124124124124123123123122122120120119117116115116116115114114114114114113112112110110110108107106107109110109110110109110109110110109109110110110109109110110110109110110109109110110110109109108109109108109109109109110110109109109110110110110110111111111112112113113114116117117117117116117117117118117118118117116116115115114114114113112112112112112112113113112112112112113114114114114114114113112112112112112113112113 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999162162164164164163163161162161158160160163166167170172174174174174172171169168171175178178179179178176176174172173999999999999154153155156155155154154155155156999999146146145141140139138138139139141141140139139138137138137137137137136135134132130128127125124124125126129130131132134134135135131127122118117116116118118119118118118118116116115111105104102 99 98 97 96 95 91 89 86 80 74 75 75 77 82 87 92 94 96 99101 98 98 97 94 91 87 82 80 80 80 78 76 74 74 77 80 81 83 85 89 90 91 92 95 97 98100101104107112115117118122125125125124125126126125123123123123124124125125126126127128128128128128128128128129129129129128129128128129128129129129129129130131131131132132132134135137138139140140141141141141140140140139139139139138138137137137137136134135131129127127126127126125126124123122124123122122123122122122122122122122121122122122123123124124123123122123123122122121121120118116116115116116115115115114115114114114113113112111110109106107107108109110111110110110110109109109109110110110110110111111111111110110110110110110110110110110109109109109109110109110109109108108109109109110112112112112112112113113115116117117117118118118118118118118118117118117117116115115115114113113113112112112112112112111112113113114115115115114114114113113113114113112112112 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999162163163163163163161161160158159159160163166169172174176174175175173172171171174177179180180179177176175174170173999999999999155155155156156156156155155155156999147146146145142141139139139139140141142142141139137137138138137137138137136134131129129126124123123124125128129130131134135135135132128122120118118119119120119119119120120118116116110105103101 98 96 96 92 91 87 87 83 78 72 73 75 80 87 95100103105106105103103101 99 95 90 86 83 83 83 82 82 79 78 79 80 84 85 86 86 90 92 95 97 98 99100103108112114116118122124125125125126125125126126124125125125124125125126126127128128128128128128129128128129129130130130129129129129129129129129129130131132132132132132134135137138139139140140140141141140140140139139138139139139139138139138137136134133131130127127127127126126125124123123124121122122122122122121122122122123121122122122123123123123124122122122122122121121120118117116116116116116115115115114115114114114114114113111111110107105105106108110111111110110109109109109109109109110109110111111111111111111111111111111110110110110110109110110110110109109109109109109109110110112113114114113113113112112113114116116118118118118118118117117118117117117117118117116116116116114114113113113113112112112112113114115115115115113113113113112112112112113114115 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999163162163163163163162160159160159158159158160164170174177178176174174174173173174176178179180181181180179176173170168999999999999155155155154154155155157155154155148147147147145142142142142142141140142143143142141140139140141138139140139136134132130129128125123124124126128128131132134135136135131128123120121121121123124125125125124122120118118113108104 99 96 91 91999999999 76 74 74 73 74 78 83 91 99105109111113112108109108106102 98 93 87 85 86 85 85 84 82 82 84 86 87 88 88 91 95 98 99100 99103107111115116119121124125126126126126125126126127126126126126125126126127128127128128129129128129128128129128129130130130129129129129129129129130131132132132132132132134135137138139140140141140140140139139139138138138138139139139139138138138137135134132131129127127127126126126124123123124124123122122123122122122122122123121122123122123123123123123122121120120120120120119119118116116116115115115115115115114114113114113112113112111109106105105103105107109110111111110109109109108108108109109110110110110111111111112112112112111111110110110111111111111112111110110110110111111112112112114114114115114114113113113113114115117117118118118118118117117116116116116117118118118117117116116115115115114113113113113113115116117116115114112112112112114113113113114114115 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999163164163162162162162162162162161160158158158161165170173178179180178175176176177176177179181181181181180179177174171167999999999152151151151152152152151151150151152147146147147145143143143143143143141141143144143142141142143143141141141141138136134132130129128126126127128129130132133134135135134130127125123123124125128128128128126125125123120119116108104 96 92999999999 73 76 74 75 73 72 76 79 88 95100106112114113114113112111111107104102100 97 91 89 88 87 87 86 87 88 89 91 93 96100103103106105107110114116119122124126126126126126126127126126127127127128127127127126127128128128128129129129129129129129129130130130130130130130130130129130131132132132132133132133134135137139140141141141140140140139139138138138138138138139139139139138138136135133132131129128127127126126125124123123125124123122122123122121122122123123122122123123123123123123123121120120120120119119119119117117116116114114113113113114114114113113112112111113109107105103104104105105107108110110111110110109109108108110110111110111111111111111111112112112112112112111111112112112112112112112112111112113113113113113114114115116116114114114114114115115116116117118117117117116116115116115116116117118118118117116117116116116115114115114114115115116116116116114112112112112115113114115115114115 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999166164164163163163163164165166165165164162160160162164170176179180181181182182181181180180181181183183182182179178176173170162999151149148149149149149149149148148149149148147147146145144143143144144143142141140142143142142142141142142142142141141140136133132130130129129129129130131133134136136135133131127126126127128129129130130129128127125123123119113103 90 87999999999 71 74 75 75 76 73 74 76 82 89 96104110116116114115116115116114113113111109104104101 98 97 97 90 93 95 97 97100102103109109110112113114115118122124126126125125126126126127127127127127128128128128128127128129129129129130130130130130129130130130130130130130130130130130130131132132132132133133133133134135136139140141141140140139139138138138138138138138138138139139138138138136135133132131130129128127127126125124123124124124123122123123122122122123123124122123123124124124123124123122121121120120120120119119119118117116115115113114114114114114113114112112111111108106105104105106105106107107108108109110110111111110109109110110110111111111111110110111112112112112112112113113113113113113114114114114114115115115116116116116116116117116116115115115115115114115116117117116116116115114115115115115117117118118117116116116116115115115115115114114114115114116113113112113113114114114115116115115116 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999166166165164164164165167169170170169169167166164163163165171178179181181182183184185184184184185185185185184182181179178175174167154150146146148149149148149148148148147148148147146146145144143144144144144142141140139142143143143141141141142142143142141140137136134132132132132132133134135135135135135132129128129130131132131132131132132131130127126122114108 99999999999999 73 75 77 79 81 79 76 76 77 83 91100107114116115114115115116117118119117116112112110111110108107105104104105105108110112113113113115115115117120122124126125125125126126127127127127127127127128128129129129130130130130131132131131131130131131131131131131130130130130131131131132132133133133134133134134134135137139140141141140140140138138138138138138138138138139139139139139138136134133133132132131130129128128126126124126125124124123123122122122123124124122123123123124124123124124124123122122122122121120119119118118117117116115114114115114115115113113112109110110108107106107106107106105106107107107108110110111112112110109109109109110111111110110110110111111112111112112113113113113114114115116115115116117117117118118118118117118119119117116116116116115115114116116114114114114114113114115115114116116117117116116115115115116115115115116115115115114114114114114114114114115116115116117116118118 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999166166165165165166166168170172172171171170169167167165165167173176179180181183184186185185186187187187186186186185184182181179176174171157151147147148149148148148148148147147147148147146146145145144145145145143141140138141144143143142141141141141142144143142140139137137136134135135136136135135134133132131131132133134134134135134134135134134131129124117111106999999999 73 75 76 78 82 82 82 80 79 77 79 87 96103107114114114113114116117118120121120119118118117115115115115113111111112112113114115116116116116115115117120122125125125125126127127127127128128128128128128129129130131131132132132132132132132131131131131131131131130130130131131132131132132132132132133133134134134134135137139141142141140140140138139138138138137138138138139139140139138136136133133133132131132132132131130129128126128127126125125125124124125125125126124124124125125126125125124124123123124124124122120120119119118117116115116115115115115114113112111111110109109109108109109108109108109108109108107107108109110111111111110109108109110111110109109109110110111111111111111112113113113114114115116117117117117118118119119117118119119119119118117117117118117117116116117115115115114113113113113114115115115115116115114115115116116116116115115116115114114114114114114114115116116116117118119118119118 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999167165165165165166167167168172174173174173171170168167167167170172174178180181184186187186187187187187187186188188187187187186184181179175172164153147147148148148148147149150150150149147146146146146146146145146145143141139140143143142141140140140140140141143145145143141139137137137137136135134133133133134134135136136136137137137137138137138136134128122112103999999 77 76 77 77 79 78 82 84 81 79 79 78 82 87 97102108114114113114118119120118119122123122123123122121121120118118118117118116116118117119118117116115116120122124125125125125127127127127128128129128129128129131131132132132132132132132132132132132132131132131131131131131131132132132132132133133132133133134134134134135135137139141142142141140139139139139139138138138138139139139139139138136134132134134133134133133133132132132132131130130130129129128128127128128129129127127127128129129129128126124124124126125123123122121120120119118117116116116115116115114112110110110109109109109109110109109108108109109109109108107107108109110111111111110109110111111110109109109109110110110110111111112112112113112113114115115116116116117119119118118117117118119118118117117118118118119118117118117117116115114113113114114114114114114116114115116118117115115115115116115115114114114114114115115116116115116117117118117117118 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999166167166165166166166166168170168171174176176176175175175174174173172174178180181185187188188188188188188188187187188191191191191190188186183180177170162150147147147149149150151153154153151148147147147147147147147145145144143140138139140141142142142141140139138138141144146147146143140138136135133133134134134134134136138140141141142141140139999138138135127120 93 84 82 79 78 78 78 78 77 77 80 83 83 82 82 82 83 87 95104110114115114116117118118119123124124124125125125123123122121121122121120120120120121121120118115116118122123124124125125126128129129129129129128128129129130132133133133132133134134133133133132132133132132132132131132132132133133133133134133133133132133134134135134135135137139140142142142141140140139139139139139139139139140139140138136135134134134134134135134134134134135136135136134135132131131132132132132133132132132130132132130131130133131126126125125126125124122122120120121120119117117117116116115114112110110111110110109110110111110109109109109108108108109108107107107109110110111111110110111110110109109109108109109110110110111111112112113113113114116116115116117117117117119118118118118118118119117117118119119119119118118117117115114114114114115115116117116116116114115115117116115115116116115114114114114114114115115115115115115116115116116117118119 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999166167166166166166166165165167169168170172172173173173174176176178179178178180182185186187188189189189189189189189188191192193193191190189187999178176173169157148146147148150152154155155155151149149148147147148148148147145143143141139138139140140141142143143141140138137140143145146148148147144139138136136136135136136140141141143143143142999999999999137134126115 87 84 79 78 77 76 79 79 79 79 82 83 85 84 83 85 87 92101107110113115114115116115115119123125125125125126126124124123122122122123123123123123124123122120118118121123124124125125127127128129130130130130130130130131132133133133134134134135135135134133133134133133133133132132133133133133134133133134134134134133134134135135135135135138139140142142142142141141141140140140140140140140139139140138136135134134134134135135136136137138138137137138139138135134135135135135135135135134133131131131134132131134134129129126126126125125124123122120120121120118117117115116116114112111112112112111111111112112112111110110109109109109109109109108108107108109108110110111110110109109108108108108108109110111110111112112113114114116117117118118118117117117118118117118117117118118118119118118119118118118119119118117117116116118116116115116115117117116115117117116117117116116116115115114114114114115116116115116116116116117117118119120 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999167167166168167167167166166167168168168169170171172171172173174175177178180180182184187188190190190190190190190190189999191193193193191191999999999999999177172164149147148149152154155156155154152149148147146148149149149148145142142140139140140140140140141141142142141139137137140142142145146148149150147147145142141139141143999141141142142143999999999137136132125113 94 85 82 82 84 82 83 84 85 85 85 84 83 84 85 88 93 98104108110111111112112113113115117120122122122123126125123122122121121122122123124125125125124124121121121122123125125127128128128130131131131131132131131131131132133133133134134135135135135134134135135135135134134133132133133134134134134134134134134134135134134135135135136136138140141142142142142142142142141141140140140140140140140139138138136135135135135136137137138139139139138138137138137137137137135135135135136136133133135134133133132133131133131131129127126126126124124124121120121120118118117116116115115113113113113112112112113114114113112111111111111111111111110110110109108108108108109109109109109109109108108108108108109110110110111112112113115116117118119119117116116117117117117117118118118117117118119118119118118118119118121120119119119116115116115114115117116116118117118116116118119116116116115117115114114115115116117117117118118119120121121122122 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999166167168167168169170170169169169170170170168168169169171170170172174174175177179180182186188190191190190190190190190191191192193999193194192999999999999999999999175171160150151152153155155155153153151147147146146147148149149147145141141139139141141141141141141141142141140139138137138139141143145148150152153152150149147145139143999999999999999999136136137137134124117105 95 91 91 91 91 92 92 92 91 90 87 86 87 89 91 90 93 99102107108109109109107109111113113116118120120122123124123122122122121121122122124125125125124124123123124124125127128129129130130129131132133133133133131132132132133133134134134134135135135135135135135135135135136134134134134134135135134135134135134134134134135135135136136137138141141142142142142143143143143143143142140140140140140140140139138137137137138138138139140140140140139138140139139138138138138138137138139138137135135136135133134133133133133132130128127126126126126125124121120121120118119118116116115114113112112113113113114113112112112113113114114115113113110110110110109108108108108108108108108108108109108108108108109110111110111111112115115116117118117116116115116117117117117117117118116116116118119120120121121122121121122119118119118116116116116114115116117116116115115115116116115117117116116118116116116116116119118120121121122122123123123123124 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999167167167169170171173174176175174175177178176176175172171172172172174174174175178180181184187189191192192190190191190191191191193193999194194193999999999999999999999999175170160152152152152153153151150148145145144143145147147147146143140139138139140140139139139139139139139139139139139138138143144144145147150152153152150148146999999999999999135135136136136135131120112108 99 96 96 95 93 92 93 93 93 94 92 93 95 94 96 98 98 96 96101105108108107111109109108109110112114116118119121120121122123122123122122122123125125126125125124124125126127128129130129129130130130132132132133133132132132132132133133134134134134135135135135135136135136136135135135135135135135135135135134134134134135135135135136136136137137140141141142142142142142142143144144144143142141141141140139139139138138138139139140140141141141141140139140140138139140141139140140139140139138136136136136135137135134133133134132130128127127127125126126123121120119119118118117117115114114114114115115115115114113112113114115115115115114113112112111110110109109109108108108108108108108108107107107109111111111111111112114115116116117117116116116116116116115115116115116116115114115117120121121121122123122121120118117117115115116115114114113115117117116116116116115116114115116116116116116117117118119120121121122122123125124126126125126 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999167167168169170171176177178177177177177179178178178178177177176176176175175177178180181184187189192193193194192191191191191191191192193193195195194193999999999999999999999999172169158152151151152150148146145143142142141142146146145144141138138138139139138138138138138138137137137137138138138140143145143146149150151151150146999999999999999999134135134133132128122118112105 97103103103102100103105108109111109104104103108112111108104100104106109113112110110111110112112114115117116118118120120122124125125124123123125126126126126125125126129130130130131130130130131130131132132133133133133133133133133133134134134134134134135135136135136135135136135136136136136136135136136135135135136136136136136136137137137138139142142142142143142142142143143144144144143143141141141142142140139139139141141141141142141141141140140140141142142143143142141140139139137136136136136136136136135135135134134133133130129127128128128126125125121119119118118118118116116115115116116117115114114113113113115116116116115114114114113112111110109109109109108108108108108107107107107108110112111112111113114116116116117117116115116116115116115115114114114114114114115115116119120120120123122122121119117117117115114115113112115113114115116115115114115116115115115114115115115117117119119120121121124125126127127126127128128129 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999168168169170171172174177178179179177176178179177178179180181178178175176176178181185186187189190192194194195195195194192192191190190191192193194195196194999999999999999999999999999173168159151151151150149147145144142141141142144144144142140138138138138138137136136136136136136136136137137138140142144143144147149150150149147147999999130999131132131129125121120113107103103104109116118118119118114117121126127127124119112114118118114113110105107108111112111111114112114114115114114115117119119119121123125126124123124124126127127127128128129130131132132132132132131132131131131132132133133133133133134135134134134134134134135135136136136136136136135136136136137137136135136135137136137137137137137138138138138138138140141142142142142141141141142143143144144143144145144144144144142140143142143144143142142142142141141141142143144144144142141140139139140139138137138137137138137136137136136135135134133131130129129128128127126125123120119118118117116116116116116116116115114113114113113115115116115115115115115114113113112110109109109108108107107107107107107108110111112112112112113115117116116116115115115115116115115115115114114114114114115115114116118119119120120121121121119115115115115118118116115116116116114115114115115115115114115116115117118117118119120118121123124126128128130129128129130129129 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999169169169170172174175176178179180180180181181180180180181182182181179176176176182189189189192192192194194195196195195194193192191191190190191193194195195194190999999999999999999999999999173169161151150149149150148144144140141142144144144143141139138138138138137136135135135135136136138140142143143144145146147150152153149148999999999129132132130125121112108106105104103105110118123128127129129128128129130130130130129127121121123121119112111112111110114114114115117117118119121120120120121117118119121123124126126125125124126128129127129129131131132133134133133133132132132132132132132134134133135133134133135135134135135135135136136136136136136136137136137137137138137137138138138139140140140140141141139139139137138139140141141141141142141141141142143143144145145146146146146145145144144145145145144144144143142142142143144144144145145143142141140140139137137137136138137137138137137136136136135135134135133130129128128127127126125123121119117117116117117116117117116116115114114115115115115115115115116116114115114114114112111111109109109108108107107107108109112113113113111111114115117115115115115115115115115115115115114114114114114114114114115116117117120119119120119118119115115116115118117116116115115116115115114116115115115115115115117118119120120121123123124126129130130131131129130132131130129 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999169169170170173174175176176177178181182184184184183182181182183184185182181182182188192193192193194195195195196197197197195194194192191191191192193195197196196192999999999999999999999999999999175171165155150149149150147144141141142142143143142140139139138137137137136136137137139142145149151152154154153154154153154153153149999999999129131131127119115109106104103102102103111120124126127129129130129130130129130130129129128126126125123123120117116119120121121122121124123123124123123125124121120118119122123124126127126125126127128129128128130131133133134134133133132132132133132134133133133133133134134135135135135135136135136137137137137137137137137137137137138139139139140141142141142143144144143144144143142141140139139139140140140140140140140140141142143144145145146146146146146146146146146146146146145145144144144144144144145145145145143142142140140138135136136136137136136137137137136137137137136135134133132131129128129128126125125124122118118117117117116116117117117117116116115115115115115115116116116114115115114113112112111110109109108108108108109110111113114114114112112113115116116115115115116115114114114114114114114114114114115116116116116116116116116118119118117117118117116115117116116114115115115116115115114114117117116116119117119120120120122123124127128130129130131129130131131129131133 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999170171170171172174174174174174175177180184186186185186186185184184186188186186186187190191193194194195196195195196198197198197197196195193192192193195196196197198192999999999999999999999999999999999176175168161156151150149145143141141141141142141140138139138138138138139139142147153158160162163163163163164162161160158154149999999127129129127124117111107108108106103101102108116123124126131131131130131131130130130129129129128127128127127126126124124126127127126125126125126125125124125125125123124122121124123124125127127126126128129129129129129131132133134133134133134134132133133134133133133133134135134135135136136136137136136136137138137138138138137137138139140141142142142143143144145145146147146146146145144144144142141141140140140139141141140140141142142143144145146146147147147147146147146146146146145146145145145145145145144144145145144143142141138137136134135135134134134136137136136137136137136135134134134134131131130129128127127126124121120119118118117117118117118118118117116116116116116116117117116115116115115114113112111111110110109109109109110111112113113113112111112115117117116115116116116115115114114114114113113114114115115115116116115115115114115116118117116116117117117117119116115115114114116116115117116118118118118118117119120122120120121124127130129131131130130131132131131132133134 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999170172172172172172173174174174176177177179183185186185187187186186185186187188187187188189189193196197197197197196197197198199199199200198197197196196196197198199197192999999999999999999999999999999999999178177173169163155151149147144141141142143142140138137137138139141144150157161164165165165166165166166166164163160157154999999126127127125122119116112109107107106101102106112119124127131132131131131132131130131130129130129129129129129128128129129128128129129127126126126126126126126126126126124123123123126124124125127128127128129129129129130129129131132133133134133134134134134135134134134134135135135135135136136137137137137137138139138138138138139138138139141142143143143143144145145146146146146147147148148150148148147147146146145144144145145144142141142141143144145146146147146146146146146146146145146146146146146146146145145145145145144144143142139138137136135134134134134134135135134136136136135135136136135135135133132130130128128126125125125124122121119119118119118118118119119118118117116117117117116117116116117117116114113113113111110110109110110111113114115115115114113114115117117116116115117117116116115115114114113114114114114115115115115114114114113115115115115115115116116116116119117115115115114117116116116117118118118119118118120120119117120122127128130129132133133133133132130132133133134 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999174173173174173173173174175176178180179178179182185187189189190190189187185186188190191192192193194196198198197198197198198199199200200200200200199199199199199199199197192999999999999999999999999999999999999999999179176175170161155149147144142142143142142140139139142145148155164166166165165165166165999999164165163160156151999128126126124122121120117114111110107106104101105110118124130132133132132132132132131131131131131131131131130130130130130131132131131131129127126126126127127127127126127126125125124124126126125127128128128128129130129130131130130130131131133134133133135135135135136135136135136136137138138138137138138138137137139140139138138139139138139141142143144144143143145145147147147147146146148149149150149151150151151151152152150151150149147145142141143143145145146146145145147147148148148147148148147146146146147147147146146145144144142139137137136135135134133133134135134134134135136136136135135136136136136135134132131129128126125125125125124124122121121121120120119119119119121119120119119118119119119118118119118117117116113112111111111112113115117117117116115114115116117117117117117116117117117117115115115114114115115114114115114114115114114114115115114114115115117116116117117117115116116116115116119117113114116116117119119119119120121120121126131131130132133133134135135133132132133134133 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999173172173174174175175175175175176177179181181181183187190191191193194193192190187185187190192194194194196197199198198197198199199200200200201201201201201201201200200200199197999999999999999999999999999999999999999999999999999179178173168159155152147144143144143143143144145151160168166165165164164165164999999999999999158158155146132127124124120120117115113112112111108107104110114119127132133133133133133133133133133133134134134133133133133132132131131134133132131128127126126126126127127128128128128127125124126125127127127128129129129129129130130130131131131131132133133134134135136137137137137137137137137139139140140138139138138137138138138139139138139139139139140141142143144143143142143143144144146145146144145145146147150148149149150150150151151151152152149146143141143145146146145146147148148149149150150150149149148148148147147146146145145145144142140138137136135134133132133134134134134134134135135135134134136136137136135135134133132130128127125123124123122122122121120119119119119118119119121120120120119119118119119120120120119119118119116114114114115115116118119119118117115115116118117116117117118119118116119117115115115115115116116115114115114115115115115116116117117115115118119117117116116115115114113115115117117115114114114114118119119119119120120122127129132132129131132133134134134132133133133133131 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999174174174174174174175176176176176176177180181183185188191193194196196197198196195193189187190191193195197198199199200197197198198199200201201201201201202202202201201201200199197999999999999999999999999999999999999999999999999999999999171168169166166162160159153150150149150156165169171999165164164163163999999999999158157156156154149129126125123121120119118117116115112111111115120124129132133133133133133133133134135136136136136136136135135134134134135135135134132131128127128128128127127127128128128128127125125127127127128129130130130130130130131130131131132133134134135135135137138139140140141139139139139139139141141141141140139138138138138138138138138138138138140139142143144144144142144142141142142144145145143146147147147148148149151150150148150150149149148150150149145143145145145145147149150150149148149150151150149149149148148148146146146146146145143140138136134133133134132133133135134134134135135135135135135135136137137136136133133132131130128124122121121121120121121119118118118118119120120121123123124122124121121121121121121121121120120119118117117116117119120120119119117116115117118118118118119120120121121116116115116117117117116116116116116116117117117117118117117119119118119118118119119119120118117118113115118115113114116114114116116118118120121123124129132133130131129133134135135134133133134132130130 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999175174175175175176176175176176177176175177181183187191193197197198199198198199199198197195193193192195198199200200200200198196198198200201202202201202202202202202202202202201200199999999999999999999999999999999999999999999999999999999999999999173172172170170170168166164165169170171999999166166165164162999999155155157156155153153154148132126125125124123122122121118114114115118123127130133133133134133134134135135136136137137137138138138137136136136136136136135132130129128128128128128128128128128129129128128126126127128129128130130131131131131131133133133134135136138140142141143144144144144144144143142141141141142142142140140139139140139138138138138139138138139139139139141143144144144144144142143140142142143143143143142148147146147146148149151152153152152151151150151151148145146146146147148149150150150151150150150150150151150150149149147145146146146145143140138137135135134133132133134135134134134134134134134135135135136136136135135134132133131130127126124122120121120120120121120118119123123123124126127126128129129128127126126124124124124123122122121119119117118119120121120119118116116117119120119120120121121118117117116116118118117117117117118117117119119118117117117117118118118117119122119121122122120120119119119119117115113113113114112113115119120121128128132132132132131133132133135134136135136133133131130129 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999176176175175176175175176177177177177177177179182186191196199199199199199201201200200199200199199199199200200201201201202202197196197199200202203203203202203202203202203202202201200199999999999999999999999999999999999999999999999999999999999999999999999999999999172171171173173173172999999167167166165164162999156156156155153151153154152150140133128126125124123122121118120122123125129132133134134134135135135135136137138139140140141141140140139138137137136136135133131128127128127128128129130130130129129129129128127127128129130130131132132132132133135136137139142145147148149150150150151151151150148147145143142143144143143141140139138138140140140139140139140139139139138140139141141144146145145144143143142141143142142143142141146146147147147149150151153155155155152153151151152151145145146147147149149148149149150149148148148149149149150149149147145145146145144142140139138135134133132132132133131131132132133132133133133135135135135134135134133132131130129127124120124120121121122123124123121124125127128129130131131132131131131131131131130129128127125124124123121120120119120120121121120117116115116119119119121121120119118117117117117118118118118118118118117117118117118117117117117117117116118119122122120120120120122123123120118117118117116115116114114116116117121126129130129133129130132134134136137136136135134132129130129 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999178177177176176176176176177179179180180180182184185189193197200200201201201201201201201201201201201201201202203202202203202202200198197200201202203203203203203202202202203202203202200199999999999999999999999999999999999999999999999999999999999999999999999999999999999171171171171999999999999167167165165999999157158156154152151147149150150150146139133127125124124122122124126128129131132134134134135135136137137138139140140141142142143142142142141140139137136136134132129128128128128128128130131131130130129129129128126128129129130132132132132133135138144147148149151151150150151150151151152151151149149147146144144144142143142140139139139140140140141141141141141141140140141142138141142144144145145144143144141142141141142142140141145146143145151152153154155156157156156153152152152152147146146147146147148147148149149148147147148148149150150149148147145145147144143141141140138134133133132130130130130130130130130130133134134135135135136135132135133132132131130127124124121121122124124125124125126129130132133134135136135135135135136135134134134133132131129127126125123122120119120121122122120117115115115118119119119118119120119117117117117116117117118118118119118119118119118117116116120121120117121124121125123125123124125126123123122121120118117117116116114116115115120123125129130133130130133134134134136135137137134132131129128 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999178177176176176177176177179182181182184185187189190193196198200202202202202202203202202204203203203203203204204204205205205204203201199201201201203203202203202202203203203202202999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999166166164162999158158158158156153153153149146146999999146143136130127125125125127129131133132134135135135135136136137138139139140140141142143142142142142142141140139137137135132131129128128128128128128129129129129129129129128127127129130131132133133134135139144147150151151151150150150150151151152151150150149148147146146145144143143143142141141141141142143141142143143143142143143144143144138142145146145145144143142144142142141142143142142143142142147149150152154155155155154153153152151150152151147147147148147148149149149150148147148148148148148149148148147146147147145143142142141139137135134131130130130130129129130131130133134134134134134135135134133132132131131131128126125123121122122123125126128129132133135136137138139140140138139137137137136137136136135134132131128127126124122122120121123123120117115115116119119120120118119119120119118118117117118117117117117118118119119118116118117117120120117119124125125127128128127130130127127126127124123121121125124122119119118119124121124129127129130131132135134134134137135137133131131129128 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999178178177177177177177177179183184183184186188191193194195197199201201203203202203203203202203203203204205205206205207206206206206204203201202202202202202202202202202202202202201201999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999164163160999999158158158157154153150150149144999999145146144135130128127128128129132135136135135136136136137137138139139140140140141142142142142142142143144143141139138137135131130128126127128128128128128129129129129129129128127129131132132133134136139142146148150151150151150150150150151150151150150150148148148147147146145144144143144144144144144145145145145146146146146147148148147146143142142145144144145145144140140140140142143142143140142144146149153152156156155155156153152153152151151152152149148149148147149149150149150149147148149150148148149148147147148147145145144143142141139137136133132128128129128128130129131131133134131133133133133131131131132131130130129127125124123126124125126128130130134135137138139140141141139138137137137136136136139137138137136135134131129127126126124123123123123120117117119119120119120120119120119119120120120119121121118118117117118117118118118117117116116119119118122128129131130134134135131134129129128129126124124128129127125125123117130126124127128130130131130134134132135132135132133131128130130128 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999178178179179181181180179178178181186186186188187192197197197198199201202203203203203203203204203204204205205206206207206206206206206205204204203202201201202202203202203203203202202201200999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999162162159158157156156155153151149147146144144146147144137132130129129129132134136137137137137138138138139139139140140141141141141141141141142143146147145142140139138136134131129128127126127128128128128128129129128128127128129131132132133135137140142146148148148150149149148150151151152151151151151150149149148148148149148147147148147148149149149148147148148150150150149148150151152151147147148148148147145143141142140140141139142142142141144149150152154155156155156156155155154153152153153153152151149147146149150150150150150148147148148149147147147148148146146145145144144143142141139138137132130130130129131132132131132131131132132132131131132133131130132132132131129127125125125125125128128130132135137139140140142141141137137136136136136136136138139140137137137136135133131129127126126129127127123121118116117119119119119120119119119119119120120122122120119119118118118117117118118119118116118118124127129130133134136137138139138138134134134134129126124130131131124122119120127126128129128131129133133134133133132133132134134134131128129122 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999179181182184186187183182181182185189189189190194197198198198200201203203203204203203204205205204204206207207208207207208207207207206205204203203202201201201202203202203203203202201201200999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999163162160158155153152150150147145145144145144140136132131131132132135137138138138139139139139140140140141141141142143144142142142142144144147148147146144141140138136135132129128126126126127127127128128128128128127128130131132132133133135138141144146147146146146145146146147149150152153152153152152152151151151151151152152150151150151151151152151151152152152152151151152155155155154155155156155154153150148145145143143140143143142142146149149152153154154155154155154154154153152151152152152153152150149148149150150151151149148148148148151149148148148149146146145144143143144141140138137137134131131133132132133131132131132132133132130130130131130134133133133131130129128128127127127127128132134135139142143141143140140139136135135135136135135134137140141141141137137136133132130128126127128128125124124122122120119119120120120120120119119120122122121121120119120119119119119119118118120118117121124126129133135140138142141141138137137137137138138135129133133129126124125122122132125128128131133133134135137136136137137136137136135133131124124 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999181180181182184187188188185183185187190193192195196198199199199200201201202203204204204205205205205205205207207207208208209209208207207205204203201202201202201201201203203202202203202202201200999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999163164162159157153151149148146145143142140137135133132132134137138139140140140140141141141141142142142142142142144144145145145145146147150151150150149147143140138136134132130128127125125126127127126125125127127129128130131132133133134135139142144146145144145143143143142144145145147151153154155155155155155154154155154154153152152153152152152154153153152152152153156156158159159159160161160161159159158157154154153153152151149145147147150152154155156155157156156156155155154153153153152153153154152149149149151152152152150148148148148148148148149148147147146145144144143142138138139141139138136135135137137134134132133134135135137137136132132130133132131133131130130130130130129128129131135136139142144141144142139138137135135134135135134135135134136136137139139137136135132130127127126127127126125125123120120121121121121120121121121122126125123123124124121121120120119119119120119120119119124123131132138140145145147147140141142140137139138139138137131130130132131126126124129124127129130129132134136137139139139139139136135136134131128126 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999182182182182183184186187190191190189190192195196196197199200201201201201200201201202203204204205206205205205207207207208209209209209208207207205203200200200200201200199999999203204203204203203202200999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999165164163999155153150147146145143142139136135133133133136139139141142142143143143142142143143144144143144144145145146146147147148149150152153153153151148143141139136134132131130129127126126127127126127128129129130131131131132134135136138140143143145144144143143143143143142144144144145148151151152154153154153153153151150150150150150150150153153152152153153153154156157160161163163164163164162163160159160159158157158157156153152151152153155156155155156155154153155155154153152153154153152152151152151149150152152151151150150148147146147148148148149149147145144144143141141140139139141141138137136138137132133134134138140139141141142142141139132133132134135134132131131131130130129131132136140142141140140139139137134134134134133135134133133133134134134136138139139136135133129128128128129129126125123120120120121121122123129128127126129131128129129129127124125125122121119118118119120121121128131133139145146147147145148146145141142142141138140139141141137138136132126126127137130131132132134136135139140141142143141141138137136135133131132 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999190191999999999999999999999999999999999999999999999999999999999999999999999999999999999182184183184185186186187188192194195194195197197198198199200201201202202201202201202202202203205206206205206206207208208208208209209209207207206203201200199198200199198198999999999999201202202201200199999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999153152151148146145142140139138136135134135137139140142143142143146148147144145146145145145146146146146146146147147148150150152154155155154152150143140138136134132131131130129128129129128129129129130131132132132133134135137137139141144143144144143144144144144144143144144144145146147148150152151151149150149149148148148147147147148149149149151152152154154156158160161163163165165165165165163162162160159158158159158157157156155154155156155157155155154154154153154153153154154153151150150150150150151152152153152149151147146144147148147148148147147145144143143141141140140140141141140137139138137133138138139143145148150150148148147145141138134131134134131131131131130132134136137140143143143140140139137135134134134134132133133133133133132134134134136138138139136134130129128128129129128127124123121122121123127130134133131132135134133131131132134131129128124123124125120119121122122134136137140147147147147148147143142142146146144144144141139137143142133135136136139138140141133134136137138143143145144143141141139139138136132133131 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999192192999999197194999999999999999999999999999999999999999999999999999999999999999999183183184185186186187189189191192194196197198199199199199200200201201201201201201201202202202202203205206206205205206207207208208208208208208207206205202200200199198199200200200999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999152152150151150148147146143141139138136136136138139139140142143145147149150150149148147148148148147147147147146147147147147148150152154155155155154152150143140137136134133132131130131131131131131131130131131132133133134135136138139139140141143143144143144144144146144144144144145144144144145146147148148149149148148148148147147146146146146147147147148151152152154157160161162164165166166166164166164164162162161161161160161160158158156156156155155154154155155154154151153152152153152153150150149150150152152154155154151152150148145144146147147147147146146145144145143142144142140140139141141138137138138136140144146148152153152154152152152151146143135134134132134134131133133136137139139143145143141139139137135134133132133132134132133133134133132132133133135137139139139134132128128128128128128126125125125127130131133134139138136138138138137137136136134134132129129126124127125124125128128132140141147146147149149149152148148145146145145141145143143142142141139138138139139142142142142141143143144146150149149145135139134132132134141132130 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999193193194197196197195999999999999999999999999999999999999999999999999999999999184185185186186187187188189190192193196197197197199199200200200200200200201201201201201201202203203203203204206208207206204205206206207207208208208208207206204202201201200199201201201201200999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999151150149149149149146145144141140138137136137138138139140141143146149150152153152150151152152152153152150147147146147147146148150153155156157156156154152152144140138137135134133133132132132132132133133133133133133134136137138140141141141141142143144144143143145146147147145146145144145145144145145146147147146147147148147147147146146145145145145146147148151152153156160162164163165165165164164166165164164163163161159159159159159160160159156156156155156153153153151150150151152152153152152151151150150152154153153153152150149149147146146146147146147147145144145147146146144145144142140139141141138137136140142148148148153153155154156155151153152149149143139134134134134130130134137139141142144143142143142140138137135135134133133134132131131131132132133133135136138138139137134131131128128127127127127128127131132136137139139142140139140140140140143142138136135134134134132128127128127129130130137139146148147148148146150150146150149149152152147146143142143142141141138140142139141139141143144147150150152152151157147147139144140139128140129121 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999196194999196196196197196999999999999999999999999999999999999999999999999999999185185186188188188189190191192194195197198198198199200200201201201201200200200200202203203202203203202202203204206207208207206204204205204205205206207206205204203202202202201202202202202200999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999163160159999999999999157153152150149148147147148147145145145142140138137137139140140140141143145145146147150155153152154153153152153154154151148147146147150153154156157157157156155153152152144141139138136135135134133133133133133133134135136136137138139140140142141141142142142143144145144145145145145147148149145145145146145147146147147148148148147147147146146146146145145146145147148150153154153157162164164165165165164163163166166164165164163162162161161161160162162162159157156155155155155154153152150150151152151151152153152152154153152152152151150149149147144145146145146146147146144147147147146145146142144143142143142143142138139141144148148151153154156157157154155152154155153149145138134135134130133134136140140143144143145143142140139137136134134132132132132132131130129129132134136137139138139136135133131130128130128129128128128135138139142141141143141140143144144143144142141139139138136134133131130129131132135137140145149149149153151148148153152149150151151147142142147146143142140140141140140140141142144146148150150150151148152159147148151150150150148136126130 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999197196196196196196196196195194195999999195999999999999999999999999999999188187187187187188188188188190192192194195196197198198199200200201201201202202201200201201203203203203203202202203203203204206208209209207206206205204205205205205205205205203204204203204203202200200999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999165161161157156155154153152151150149150150149148148147146146146145144141138138139140140141141142143143144145147151156155154155154152152154154154154151149149150153154155157158157158156154153153150144142139138137137136135135134134134134135136138139140141141141142142143143143144144144145145146145147147147148149149150149150149149148150151151152152152151151150149149148147146146147148147148150152154155156159163163165164165164162162163165163164163164164162162163162161163164164162157157156154154154156156156156156156156155153154153153154153153152151151151149148148149147146146146145145145146145145147147146147146144145141142141142144143142139140143143145148151153154156158160157159153156156153152148145139135134132133133137139143146144144145143142141140139137134134133132132131130129129129131133133131136139137137135134133131131130129129131130131138142142142144145144147146147148147148148147144144144145141139138136134134134133133135137143149151153152151154155155154152150151150148145144146144144141141143142141141144145144146149153152151153154152150145151151150150146148149147149143137 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999196197197196197197197196197195195195193193194193191193999999999188187185187188189189188189188188188188191193194195196197198199199200201201201201201201203202202202202203204204204203203202203203203205204205208210210208206206205205206206207207207207205205204204204203202999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999163161158157153152151151149149149149149149149148148149149148147148148146142139141142139139141143143143144144145149154157157156156156153152152154155154153151151152153156156158159159158155154153152147143141140139138138137136136136136137137138139140142142143144144145145145145146147147149150151152154154153154155157157158158158159160160159158160159159159158160158155154152151151149149150150151151153154155157160162165166165164163162163162163162165164163162162162162161162165165163162161159157154154154154154157157157157157159158159158157155154153153152150149149149146147146147146146145144145147148147148147147146147146143141142143144143143142140142143143145148153155158160159158161158154156155152151151147143136134134134134137142144147148148146145144142142140137135135134133132131129129128132130130135134136134134136134133133131131130130131133132136140143146146148148147147148148150151150150149148147147147147144140141140136138139138139140148148154155155154156154154151152152152153150149145144144142140141140140141143145144144146149152151150151147148148146149149150150148148149147144143138 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999193199999999999198198198197197197197197198199198196195195194194193192191189191191191190190189189190189189189188189190191193194195196198201202202201202202202201201202202203203203204205204204205204203203203204204205205203204207209208208207207207207208207208209207208208208205203999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999169165159158155153151151151150148149150148147147148148148148148148149149148146143141142143142140141143144143145147149152157158159159158158157155154153153153153153154155158159159160160160159153154153149145142141141140140140139139139139139139139140141142143143145146147148148149150152153154156158158158161162162164165169172171173173172173174174174173171171171168167166164163161158156155153152152152153153154155157161162164167165163162163164162162162162163162161162162162161162163163163163162160157155156159158156157157156156157158159162163162161158156156153151150149150148148147147146147146147148149149149150151148147147146143144145144145145144142142142143144145148150155159159159161160160160155154151153152150147144139137137137141146147149149149148148146145143142140136136135134133131130130130129131130134136136135134133133131131130130131131132134137141144146147148149149148149150151153155155155154152152151149150146143144143142140140140139143148150155155155158157153155151150150152150148145147144142143143145142144143138138141146152150152153154150150149149148149150151150149149150146149145136 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999199200200200200200199198198198198199199200199198197196195194194193193193193194194193193193192191190190190189190191193194195196197201203203203203202202202202202202202202204204205205205204204203203203203203203203203203203203205207209209209209209209210209209208208208208205999999999999999999199198198999999999999999999999192192191191191999999999999999999999999999999999999999999999999168165161158156154152150150150151151152150150148149150148148148147147147147146145143142141142144142142144144145148150154157158158160160161160160159158158158158159160160161162162162161161161159153153151147144142142143144144143143142142142142141142142142143145146147148149150152155157159161163164166167168171173174176177178178179181181182182182183182182181180179178176174171170166165164164160157154155156154154157157159163165166166163163163164163165165165164164166165162164163162163162162163162160157156160159157157157157157158159160159162165165163163158154154152147147146148148148147147146149150149151146146149149149148148148145145146146147147145147144144144145146148152152155157159159158160160160159155155153155152149144140138140145147149149150150151151149147145144143140138135134133131133133132133133133134135132134133133132131131132132132134137141142143145147148150150151151151153154156160159159158157158157155153151152151147144143143141138143151151155154155157158154153155153152152150149145145146144143142144146146144139139143144145145145144147141146147150153149155152151151151153150149146153 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999200201202202201201200199200199199199199199199198199198197197197196196195195195196195193193194194193192192191192195196197197198200202203203203202202201201202202203202203203204205205205204203203202202202203203203203203203203203205208209210211212212212211210209209208208204205999999999999999200201201200999999999999192193193193192192192192192999999999999999999999999999999999999999166164161160158156153152151151151151151152154153154152153152150149146145144144144144145144142143144144143145145145147151155156158160161161162162162162162163163163164165165165164164164162162162160152152150147144144144145146146146146146145145144143143144145146147148149150152155158160164166168170173175176177179180181183184183183185185185185185185186185184184184183182181181178177174172168169168166165163159158155158158159163164166167164164164165165164166166168168168167167168168166166165161161162160158157158158158157158158158159159160162164165166165164160157155152151148148148148147149149149149150152146147145147149149148149147147149149147148148148149145144145146149149152151154156159159160163164161159157157156155154150145143141143147150151152151151153151152151150148146142140138137133133135135136134132135132131134135135134131133134133133133136139142142145147148149151149150152155156159161164163164160160162163161157157154151152146145144143141145149151154152152155156160157156154153152152151150150150151150150147143143144138141142143144147146146147147149148149149149150153158153152151154162158157 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999200202202202203202202201201200201200200199199198198198197197198198199199199197197198197196195196196196194193194197198200200201201202202203203203203202202202202202204204203204204205205205204202203202202201202203203203202201202203204207210209211212213212212211211211210211207999999999999999200200200201201200999196195193193193193192192192193192193191999999999999999999999999999999999164160159160158156153153151152153153154155156155155158156157159157154152150149149148148147146145146145145146145145147151155156156159162162163163164164165165166166165167166167166166166166165163162156151149147145145146146147147147146146147147146146146147148149150150151153157161163166171173175177179181181183183183184185187187187186185185184184184184184183182183182182181182179178178177175174174172169167167163161160160160166165167168166164164164167165165165165166166165166167169170169167162161161159157156155157158158158159159160161161162163164164165166163158155156154153151152154153151148149150151151148150150149148147148149148147149147148148150150149146149149147149151154153152156157159161163164164162159157157155154152148146145145147149151152152153153154154154154152150146143142140139138137139138136132134134134135135135135133134133134133135140141143145148149147149150153153155159159162165167169167168168168167164164161157155153149148147144143143148150152153153158161162160159155155156155155154150149147148147147143142146144146147144144145145147148148150150150150150151151153156152154156154157153 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999198199200202202201202203202202201202202201201201200200199198197198197198198200201200198198198199200198198197197196196197200202203203203202202203203203204204203202202202203205205204204205205206204203202202202201201202202202202202202201202204205206207209211212214214213212212211212211999999999999999200200199198198198196196195194194194193193192192192192193192189187185999999999999999999999161159159159159156155154153153154156158159162163162162164165165163164164163161157155155152151148147146146146146147147148150153154154158162164164164166166166166166167167168168169170170170170169167164161155151148146146146147147147147147147148150148148149150151151151151154158163166170174175178179182183184185186186185185187187186185183183182182182181179180178180179181180181180180180179178178177176175174172170167166164165162165165166169168165168170168167167165165164163164165167167168170170168166163161160158156156155158157157157159160162163164166166166166165163157159157151153153153152150149148151151150148147149150149149148150146148148149150152151152151151150151149149153155151152155156158160162165165164162159156155154153153151148147148150151151152153155155155155154153151148149147144143141140139139137135135136137136137137137138137134134137140140142144146148148148151152155158160161163167170171171172172173173170167165162161155154151148148147147146147152155155155158158162162161157157159157153154153152150148148148148145148145147148149145145147148150151151150150150149152152152154156156155155155152 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999198198199200201203203203203203203203203203203203202202201200200199198198198199200201201201199199198199200200200200200200200200201202204203202203202203204204204204204204204204204205206205205205205204204203202202201201201201202201202202202201203203204205205207209211214215214214999213212213213999999999999999999197197197197196195194194194195194193192191192193193193192192187184182999999999999999160158157158158157156155154156160162163166168169169169169170169169169168168168167164162160156151150147147147147148148149150151152154156161164165165166165166166166167169170171173175176176176176173170166161154149147146145146146146146146147149149150150151152152152152154159164167171175178180182183185187187188187187187187186187185184183182181179178177177178177177177178177179178179180180180180179178177176174173170171169168167166166167169170170170168166167167164165163163164168167168168170171171170169168163162160158157157158159160161165167168170170169168168167165162158156154153154154152150149149150150154153149149149150149149149150151150152151153152153153152151152152152153154154154154156158160160163165165165163160156155154155153151149149150151151155155155155155154155154154151151150148146146143143142139139139137139138139139140140138138139139142144146146147148149150152154156161165168170172173175175174172174172173168166165162157155152151149148148149150151151154156158158161163161159158159158159157155153153152151149149150150151148150150151153152149151151151151151150151152154154155155155154156158156 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999200200200200201202203204203203203204203204204205204203202202201200200200200200201202202201201200199198199200201202203204204204205203204204203203203202204205205205205205205205205205205206206205205206204204204203202201201201201202201201201202202203203204205206208210211213215216215214214214214214213212999999999999999999999197195195194194194195195194192192192193193193194193190188186184180174999999159157156158158157155154157160163166168169170170171170171171171171172173174174174175171169167161157153150149149149149150151151153154156160164165165166165165166167167169172174177179180181181181180178174167163155150147146146146146146147148149151152152152153153153154158165168173177181183184187187188189189189188189188187187186184183182180178178177177176179177177177177177179179178178180178179180180180178177177175173172170170166166167168167169168167167165166164163163163164168169169170171172171172171170169168166163162163162165168170172171171172173172170170168165160160154157156152152153153152151149152152150150151152150149151151152153153153153154155154152152154153153152152154150153155156157159161163164165166165162161160158158156152152151150148150153155154155155154154154154154153153152150149147146143142142141140139139142142143141141140140140142144146146147151152150153156158165168171174175177178179178175176172172174171167162160156153153153153151149149151152156156156158159164162162160160159160154156152150150149147151152153152153153153154154155155156157156155156153159160161163164158157157158161159 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999201201200201201201203204205204204204204204205205205205205204203202200201201201202202202201201201199200199199200201202203204206207209207207206204204204203204205205205204205205205205205206205205206206206205204205203203202202202201201201201201202202203204205207210211211212213214215217216215215215215214213999999999999999999999999192195195196196196196195193193193194194195194193192191191189181173172161160158157158157157156156161163167169170171171171171171171171171172175176178179179180178175173169167164160156153151151152152153154155158160163165165165165165165166167169173177179180182184184183183182181177170164157150148147147148148148149150152153154154154153155159164169173179183186186188189190189190190190189190188187184183182181180179179179179179179179178178177177177178178178178176177177179180180179179179177177175173171166167166166167168168169167166164164163164164167170171171173172174172172173171170171170168168168169169174174175176173173173174172170166165162161159158157156155154153152150150150150153152153153151151152152152153153154154155156155154152155155154153152151154154155155156157160163162165166166165166164162162159157155153151148148151154155156156155154154156155156155153152151152150147145144145144143145143143145143143147146143145146147148150150153154156159166171173175176177179180179178174178172177175171169164160159157156155154154148148151152154156158159160161161160158154158155152153151152152152152150152152153155153154154153154156158158157158158158159161160162164164165161165162162 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999203202202202202202204206207207207206207206206207207208208208207205203203202202202203203201201200200200200200200200201202203205207208210209209208206205205205206206207207206205205205205205205205205205205205205205205204204204203203202202202201202202203204206208209210211212212212213215217218218218217216216214999999999999999999999999999999999197199200199199197198197196197196196194195194192191187176170164162159158159159158157159162166168170171171172171171171170171171172176177179179179180179176175173172170167163159156155154153154154156158162163164165165165165165166167170174179180183185185185184184184183181178172165158153150149149149150151151152153154154155157159165169174179183187189189191191191191191190191190189188186184182181181181180179178180181181179179179177177178178177177177176177178179179180180179179178178178174172166166166165164164167168169169168168167165167169172171173173171171171172173174173174173172171172175176175177179179178177175174172170166165163161161157157157155153153151152153153151152153152151151152153153154152154156157157157156154155156157156156154154154155156154156157159161162163166167170168167167167164162158156153151150150153153155153154155154156156156156153152152152152150148146147147147147144145146148149148148148148151153153154153157157158166172175177178178178179180178177177176179172170172167166161161159158155157155156155156153158157159161162162164160159160157157161158156154155154152148149150150154155154154154155157157158158160159161161164165165167167163162167165163 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999204203204203203203205207207208209209210210209208209210210209210210208206205204203203204203202201201201201201201201201202202203203205207209210211211208206206206207206207206207207206206206206205206206205205205205205205204204204203203203203203203204204206207208209211212213213213213213215217218218219219218216213999999999999999209211999999999204204202205205203203204201201199199199197197196194193192189186182177173167166161159159160162165167170171172172173173172171170171170172174176177179179180180180178177176174171168162159157155154156158159162164165165165165165166166168172176180182184186187185185185185184182181178173166160156152152152151151152154155155157159162167171175180185187189190191192193192191192191191190190188187185183182182182181181180183182182181181179178178177177177177178178179179180180180180179178179179178174172167166166165165165165167169171169168168166168170171171175173175175174175176174173174177176176176178177177180179177174174174173172169167164162160160159158157155157154153154155154155153152153154154156156155156157157158158159158158157157158158158156157157157156157156158159159159162164168169169171171172172171168165158156154151153152152153154153154155156155155155154154154154154154152151150150149149152151150153152151152153153156156157159160164167170171174176178179180181180181179180178176172171173169166165161161160160159157158158160159158161162164162164163164163163163162161160161158157157154152151151151150153154154154157158158158159159160161161162167167168170171171170169167165 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999204204204204204204205206207206208209211211211211211211211212213212211211209207205204204204203202203203204205205205204203203202202203204207209210211212211208207207206206207207208208208209207207208208208207206206206205205204204204203203202202204205207208208209210212213213215214214214214215217219219219219218217999999999999209212215217217216214213212211210208207206205205204202201201199198197197197195193193192191189189184178173165162162166166169172172174175175173173172172169170171172175179179181182183183183182180177175171165161159156156158160161164165165164165165165166168173178181183185186187186186186186185184184182180175171164160158154155156156158159161164168170174177182187189190191192192193193193192192192192191190188186185184184183184182181183183182182182181180180178178178176177178178180179179179178178178177179177178177172168167167165164164165166168170169171170167168170171172173175178180180180179177176176177178178178179180181180177174175174174172171169166163163160158161158159158158155156158157156155156154155156157157158160160159160159159161159160160160159159157158159159159159158160161161161161163164167170173175175175176176175170166161156155154152151152156155154156156155155156154155156157157157157155154153151153154155155155156157158158159162162163166169172174175176178178179180181182181180180180179176173173171171168167164163161159159158158159158158160163167167168168168167169170171168165166163163161160157152151152152152152155155157158159160159159161161163163167165169170170174172171170166165 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999205205205205205205206205206207208210211212213214214214215215215215213213211210207205205205204203204204206206207206207206206205205205206207208210212212212211208207207207207208208209209209209209209209208208208207206206205205205204204203203204205206207208209210212214215216215215215214214216217218219220220219218999999999999216218220220219215212211210210209208208207207206206204202202201199198198200199199199198196196195194191186181173165164166168171173173174175175174173172171171173174177180182184185187187186185184182180177170166162158157158160162164165165165165165165166169173178182183186186187188187187187186186185184183181178174169167166164165166166167171175177179182185188190191192193194194194194193193192192192191190187186185185185183185184184184184183184185183182181179178177176177177178180179179178178177178177178179179178174171170167166165165165166167170170172170169171170172173173175177179180180179180180178179178177179183184182179175177174176173172172171167165162161160158159161163161160158161160158157159157158157157158159160159160161160162162161162161159160159158159159159160160159161161162163163164165170172175174178178179179178175172169164160158156153152155155155155155156155156156158159160161162161162162159158159157159158159162164163165168168170173174176177177178180180181181181183181181180180180178176176175174172170168164165164162161161160160159160163166168168168169169171172173174173172172168167164160157155153153152153153153154158158159161160160162164166167168169171173173173174173174173169 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999204205204205205206206206206208209210212213214215216216216217216216215215214211210207206206206206205205205206206206207208209209209209209208209211212213213212210208207207207208208209210211210210210210209209209208208207205205206205205204204205206207207208209210213215216217217217216216216217218219221222221220220219999999221224224222220218999999999205207207207207207207207207205204203203202201201203202202202201200200199198196194192189183172168168170172173175175174174172172172171173176180184185187189191192192191189186184182178172165160157158161163164165166165165165166167170174179182184186186187189190189188188188187186185184183181178176176177177177180181182186187187189190192192194194194194195194195194193193193193193191189187186185186186185185185185186184185186184182182180181181179179178179179179179178177178177177177177177178176173171170169169168167168169172173172172172173172172173174176178180181182181181181178179178180182184184183180171175176172171172171171167163162160161161161163164163162165165161160160160160160159160160161162162162162162163163163163162162160160160161161161162163161162164164165165166165172173177178180182184183182180178178173168164164161160159160159158158159161162162162165166166166166166166163164163163169166167171171172173174176176178179179180180180180181182181182181181180179178177177176177175174172170168166164165163162164163163164164165166168169170172174174175176176176174174171171170166162160158155153154154155155156160161161161162164165167170172173174176176176177176176174172 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999205205206206206206206208209210212212214214216216216217217218218216216215213212209207207207208209209208208207207208209210210210210209210211212213213213213212210208208208208209209210211212211211211209209209209208207206205206206207206206206207207208210210211213215215216217218218218218220220221222222222221222222223225226225223222219999999999999999999205207207207208208208208206206205205205204204204203204203202202201201200199197195193188181172170170172172172171172172172172173176181185189192193194194193192192192191187184183176171163158159161163165166166166166166167169171175180183185186187188188190190190189189188187187187186185185185184184185186187188189191192193193194195196196195197196196196196195195195195194194194192188187186186187186186187187187188187187186184183182182183181180180180180179178177177177179178176176176176175174174173172172171169170172171174172171170170173173174175176180181182181180180182178181183183183183183183177177175175171171170170168167163162161164163165165165164165165166166165162163163163162162163163163163163163164164164164163163162162163162162163163164163163165166166167168166171173174179181183186187185187184184180174174173169167164165164165164165165165166167167168170171171168167166167167169173175175176177178179180180181182182183184183183183183183182183182182182181181179179178175174173171171170167168166165163165166165164165165167169170172174175175177176178178177176176175173172171166163160159156156156159155160160162162164165166168167174176177178179180179179180177176173 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999206206207207207207207207210211211213214215216217217217218219219219218217216215213210208208209210211211210209209209209210210211211210210211212212213214214213213213212211211210210211211211212213213211209210210210209208207207206207207207207207207207208210211212214216216217219219220220221222222222223223224224225226227228227223222219217999999999999999999202206207207207207209210209210209208208207208206206205205204203203203201201200199198194192186180174171170170170172172173172176182189192195196195193191190187188188189188188185181175168162160162163164166166166167167169171173175179183186186188189188189190191191191190190190190190190189190190191191191192193194194195196196197197197197197197197197197197197197197196196196195193190188187187187187188189188188189189189188187186185185185183182180181180179178178177178177177176176176175175176174174174174172172171171170172171171170168170171173173175177180182180180179182182184185184184184184184182180174171170171170170170172167166164166167168167169167168169168168167168168165164165164165164165166166166167166165165164163164164164164165164165164165166167167167169169172174176178181183186187189190189187185185179176177174172169169168169169170169171171172171173172172173172170169170174178179180181181183183184184184184184185185185184184184183182182182182182181182181179178177176175174171169170168167166166167168167166164165167169170173175176177179179179179180180179178176175174173169167165162159158157160160161162164165166169170174176178179180181183183183182182180178176 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999207207208207207207207209211212214214215217218218219219219219219219219218217216213211210210211211211212212211210210211211211211211210211211212213214215215215215215215215214214214214213212212212211210210211211211211210209208208207207208208208208208209211212213215217218219220220222222222223223223224224225226227228229229999999999999214211211211211210999202207207207207207209210212212212211210209208207205205204202202202202202202203202201199196194189184179174173173173175175181187191196198197195193190188188187186187187188188186184178171164161163164165166166166168170171172173175178182185187188188189189188189190191191192193193194194194195195196196197196197197197198198199199199199199199198199199198199198198198198197196195194192190188186186186187188188189189189189189187186185184184184184181181181179180178179176177177177176175174176176176176176176175173171170171171170168168168169170171172174176178180182183183182183184185185185186185185184182177170170169171171170169169166168168168171171171170169170169167169168168167169168167168168169168170169168167167166164165165166166165167169168169170170169169172171176177176179179185188190192191190190187187186185183181179177177176175177176176176175176176176176175175176175172170173174178181183185185185185186185186186186186186185184183182181182180181180180181181181179177176175174173173171170168167166168169170168168167168169173175176178180182182182182181181180181180178176175174173172170168165164161160162163165167169171173176180181184184187188188186185185185184179177 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999207208208207207207209210212213214216217218219220220220220219219219219218217215213212210211212212212212212212212211211212211211210210211213214214215215216216217217217216216216215215214213212211211212212212212212212211210210209210210210209209209209209212212214216220221220221222224224224224225224225226227227229230230230999999999999212212211211210209999203205204205206206208211212212212211209205204203203203202202201202202202202203203202201199197195192188184181178177179186190193199201198195191190189189188188188188187187187186185180173167163164165166166166168170171172173174175178180184186188190191190190190188188189191192193194196197198198198198199198199198198199199200200199199201200199199200199199199198198197198196196194192190188188187187188190189188187188188188187186184183184183182181181180180179179177178177176177176176175176176177176176175175174174171170172169169169169168168169171172174176179181182184184184185184185183185185184184182179172170174170169169168168170169170170171170171170171170170171170170171171170170170171173172173173171170170169168168167167167167169170169170170171169172173175175178179182182185188191193194192191190190188186186186184182182180182182181180181179180179180180180179178179177176171172174178184186186187186186186187188187186185185183182181181180181180180180180181182180179177177175173172171171169168167168169170171169170172173175176179181182182183181180179179179179179180179178176173173172172170167164163163165167168172174176178182184187188190191191191191188187187184181178 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999207207207207207208210211213215216218219219220220220220220220219219218217217215213212211211212213213213212212212212213212212211211211212213215215216217217218219220219219218218217216215214213212212213214214214214213213213213213214213213212211210211211213214216219221222223223223224224226226226227228228229229230230231229999999999999213213999209208999999203206203202204204207210211212211208205204204202202203202202202202201201202202202203202200199196194192187184182184189190194199202200196191190190189188187187187187187187187186185181174169165165166166166167170172172173174175176177180182185188189191191190190190190190191192194196198199200200199199199199199200200200200200200201200201201201201201201200199199199198198197197195193191190188188189189189189189188187186186185185183182182181179179178179180178178178176175175176175175175175176176177176175175174174172171170170170169169168168169170170173175176179181183184184184184184184185185185186184183183180179174172169171171172171172172174173172172172173172170171172171171172172174173173174174174174173173172171170170170170171172172172173173174173172175177180181183186187190192194195194193193193191192189190191190190189189189190189190188187187187187186185184183179179178179176178182187188188189187186186187187186185184184183181181181181181180181180180182181180178176176175173172172171170170170171172171171172174177178179182184183182181180179178178177178179180181179178175173172172172171169168168168169172173175178180182186189192193195196195194192191190188186184180 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999213213215216215999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999207207208208208209210212214216218220220220220220221220220220219219218217216215214212212212212213214213213213213213213213213212212213214215216217218218219220221221221221221220219218217215214215214215215215215215214215216216217217217216215214213212213214216218220222222224224225226227227228228229229230231231232232230229999999999999999999999999999999999201204204204203204207209211210208206205204203203203203203203203202201202202202202203203201200198196194191187189191191193199203201197192190189189189189187187187187188188187186185182176170166166167167167169172172172173174176176177178181184187188191192192192191191191191192196198200201201200199200200200201201202202202202202203203203202202202202202201200200199199199197196196194192192191190191190191191189188187187185185185182181180177177177177177178177177177176175175174174175174176174176176176177178177175173172170171169169169169170170169170171171174177178180183184185183187188188187188188187186185182180173174173173172172172172174173174174177173172173171173172173176177176176177178178178178178178178177175173173174173174175174174175175175176178178179180183186188190192193195196196196195195194193192194195195194195196195195196196196195194194194193191190189187184182182184184185188190189189187187185187187185184183183183182181180181181180180181181182182180179178177176174172172171172172172173172173174177179181182184185184183181181181179179178178178180179180180177175173173173173172171171172173175177178179181183187191195196197198198198197194194194190186183181 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999213212213215213211213211220225999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999208208208208208208209209210211213215217219220220219219220220220219219219218218217216215213213213212213214214214214214214214214214214214215215216217218219219220220221221222222222223222222220219218217216216216216216216216217217218218219219219219218217217217216217218220222223224226227228228229229229230230231230232233231999999999999999999999999999999999999999999200203203203203204207210211210208206205203204203204205205205204203202203203203204204203201201198196194191192193192193197202203200194190189189189189189188188187187187187187187185181175171167167169168168169171172173173174175177177178180183185187191192192193193192192193194198200201202201201200201201202202202203203204205205204205205204205204204202201201200200199198197196195194193192191191190191191190188187187185185184183182181179178177175177178178177176177178176175175175175175179179179177178179180176175176173173171171169169170171170169170171173175177179179182184184183185187187187189190190189187185184179182178175175175174174175176176178178176174175175176177178179178179179179180181180181182182182181180178178177178177177175176176176176179179180179181184186189191194196197197198198197198198197195199199200201200199199200200200200201200198197197196196194194190189187184185186189189189190188187186188187184184184182180179180179180179181181182182182182181180180179177173174174174174173173173173176178180182185187187187185184182182181180179178179180180179181180176175174173175172172172173175177179180180183185188191196198199199198198199199196195193191187184181 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999217216215216215214214214213218216221999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999209209211210210209209209209210210211213216218220220220219220219220220219219218218218217216214214214214213213214214214215215215215215216216216217217217218219220220221221222223223223224224224224222221220218217217217217218218219219220221221221221221221221219219220219219220221223225226228229229230230231231231231231232232232999999999999999999999999999999999999999999999200201202203202203208210211210207206203203203204205205205205204203203203202203203203203202200198196195194194193193194200203203199191189189189188188188187187187188188187187187186181175170167168169169168169170171171172174175176177178181183186188190192193193193193193195198201203203202201201202202202203204204204205205206206206205206206205205204204203202201201201199198197195195194193192191191190190188186185185184184185184181178177177178176177177175176177176177174174174175176177178179178179177177179177177178175173171170170171171170169171172173173176177179182182185184182184185188187189189190190189190186183181179179179177177179179179178178178178178177178179180180181181181181182182184184184185185184184183182183183184182182180180180179181181180180181182183187188191195197197198199199199200199199200202202201202201201203204203203203202201199198198198197197196195193190188187187189191190189188188187187185184184183182182181180180181181182183183184183183182181182180178176176176176175174175175176178179182186188189188188186184183183182181180180180181181181180180178176176176176175176176177179180181183183185189193198198200199199198199199199196195193191189185182 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999218219219218217217216215214214213213213210212999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999210211212211211211211210210211211212213216219220220221220220220220220219219219219218217217216215215215215214214214215215216216216216217217217218218219220221221222222222223224225225226226225224223222221220219219219219220220220221222223223223223223223222221221221222221222224225226228229230231231231231231231231232233233232231999999999999999999999999999999999999999999999999201201201204208210211209207206204203203204205205205205205204203203202203203202202202199198196196195195193193197202205203197191190189189189188188188187188188188188189188185179174170169169169169169170171171172173175176177178180183185186189191194194196195196196198199202203203203202202203203204205204205205206207208208208208207207207206206205203203202202201200199198197196195193193192190190189186183184185184183182183181177176176176174174176175179178178178174178176175176176177177176176177177177178178176175176174173174173172170172173174175176177177178180181182183184184186188189191190192190191191185184183183180182183182181183182181181182181179180180182182182183183184185185185186186186187187186185185185185185185184182184185187187185185184183183184184186189193196197198199199200200201200201203204202202202203204205204205205205205203199199199199199198197196194192190188188191191191189188188188187185184184182181182181182182183183183183184185185184183183183180180178178177176177177177178179180181185188189190190189187185184184183183181181182182182182179179178177177176176176177178180181182183184187191195198200200200200200199199199197195195194192190187182 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999219219219219219220219219219218217216216216216216222999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999211212211212213213212212212211211212212213214217219221221221221221221220220220219219219218218218217217217217216215215214215215215216217217218219219219219220221222222223223224225226226226226226226225224223222221221221221222222222223224224225225225225225224224224224224223224224225226228229230230231232231231232232232232233234233233999999999999999999999999999999999999999999999999999198201203208210210209207206204204204204204205205205204204203204204204203203202199199197197196196194193195200205207205199192191190190190189189188188188188188188190189183176172169169171170171171171171173173175177177178179183185186188190192194196196198198198199202204204203203202203203204205206206207208209209210210209210210210209208208206205204204203202201200199198196195193192190190189186186184183183184184183182181179177176176176175175176177178177176177174178178178177177175175176177177177177178176174175175173174173173174174173175176176177177178178180181180185185186189188189192191193191188187186187186186186187185184183184183182183183183183186186184185186186189187187187188187188187187186185186186185185185185185187189189189189189187186185184185186189193196199199199200200201202202203204204204204204205206206206206207205205203202201201201200200199198196194192188190190192192191189188188187187185185184183183183182183183184184185185185185185184184182181181181180180179178178179179180182184186189191192192191190186185184185183182182183183181180180179178177178178179179180181182184185187190193196199200200200200200200200199199198197197195194192187182 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999219220219220221221221220221221219218220218218223999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999211211212213214214213214213213212212212213214214216216217221222222222222222221221220220220219219219219218218218218217217216215216215216217218219220220220220220221222223225225225225226227228227227227226226225224222221222222223223223224225225226226227227226225225225226226226226225226227229231231231231232231232232233233233233233234234233999999999999999999999999999999999999999999999999999999200203207210210209208207205204204204205205205205205205205205205204203201200198197196196197197196196199202205208207202194192191190190190189189189189189189189190187181172170170170171171171172173175176177178178178178181185187187189192194196198199199200199201204205204203203203204204205206207207208209210210211211211211210210210209209208206205204203202202201199197196194191189189190189187186184184183186185183180183184181177177177175175176176177180182183183185186184183180178178177178177178178179178178176177176176176176177176176176177178178177178178180180181184185187191188190192193194193189187189191190189189189188187187186186186186187188188188188188189188188189187188188188189188188186186186185184185185185185185184187188189190189188187185185185185189194196198199199199200202204204204204205206207206206205208208208206206204203200200200200199200201200199195194189189191193192191189189188189187186185184184184185183185185185186187186186186185185184184184184183182181181180180181181182185186188189192194195193190187186185186185185184184183182181180179178179180181182181183185185187189192195198199199200202202201201201201201200199199197197196194187182 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999219219220220220220220220220221221221220220217216999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999212213214214215215215215214214214213213213215215216216217218220221223222223223223223222222222222221221220220219219219219219218218217216217217219220220220221221221222223223225226226226227228229228228228226226225224223222222222223224224225225226226226227227227226226226226227226226226227229229231231231232232231231233233233234234234234235233999999999999999999999999999999999999999999999999999999201203207210210210208207205204204204205205205205205206205205205203202199198196194194196198199199199200202204207208206199194192191191190190189189189190190191189183177171171172173173173174175177178178179179180180182185187188189193196197199202201202202202204205205205204203204205205205207207208209210210210211211211210211211209209208207207206204203202202201198198196194191189191190190188187187186185185185182182186181180180179178176176177177184185187186187187187186189189189185185183182181181180181180179179180180179179179178179179180180180180179180180181183185187188193191193193194195194192191191192192193192191191191188187189190191191191191191189188190189189189189190190190189188187185185185184184184183185184184185185186187189188187187187186185186188194195196198199201201203204204205206207208210209208209210210209207205204202201200199199200200201200200197196191191193194192191190189189189188186185185185185186187187187187187187187187187186186186186186185185183182183183182183184185187188188191194197196195191188187187186186186185184183183182181180180180182183183184186188190193195197199200200200201201202203202201201201202201201200198196194187183 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999218218220219219220219218218219220220220220219218217999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999214214215215216216217216216216215214214214215216217217218218218219220223224224224224224223223223223223222222221221221220220219219219218218218218220221221221222222223224224224226226227228228229228228228228227226226224223222222222224224224225226226227228228228228228228227227227226227227229229230231232232232233232233235233234235235235235235233999999999999999999999999999999999999999999999999999999999204207209210210209207205203203203204204205203204204204203203202199196193192192194196196198201201200202204206208209206199194191191190190189190190191190190184176173172173174174174175176177179179179180180181182184187189190191194199199201203203203203204205206206204204204205205205205206206208210210210211211210210210211211210210209209208206205203203202200199198198195193192191191191188188186185186188186184183186185184182180179180183183187189191191192192191191189190189191191191190190190188188189187185183184184183182183182182182182183183183182180182183184188190190191194194195195195195193195192194194194196195195192191192192194193193193193191190189189190190190190191190190189187186186185184183183182183183183183185185185186187188188188187187186187189193195196197199202202202203205207208210210211210210210211211210208206203201199199200199199200200201199199198193193194194193192192191190190189188186186185187188188188187188188188188188188188187187187187187186185184184185185186187188188189191194198198197195193191190188188187186186186185185184183184185185185185186188189191193196198200201201202200200201202204202201201201202202202200199196193188184 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999220219219220220220220219218217217217217218219220220219217216999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999214215216217217217216216217218218217216216215216216216218219219220220220219220222224225226225225224223224223223222222222222222222221220220220219219219219220221222222222223224224225226227228229229229229228228228228227226226224224223223223224225225226227227228229229228229229229227227228228229229229230231231231232232233233234233234234235235235234234233999999999999999999999999999999999999999999999999999999999203206209211210209207205202201201202202202202203202202201198196194192191193194195195195196200202200203205206209211210207200194191191190190191191191190186181176173174174174176176177178179179179181182182183184187190191192194197200202202204205203204205206206205205205205206205205206206207209210211210211211210210210210210210210209209208206205204203203202199198199197196195192192192190190188187187187187186187186188189189185183186190190191192194195193194195194192192193192192193192193193193193192192191189190191188190189186189188186186186184184185184185188190191192194197198196197198196194196196197197198198198196195195195195196195195194193192191191191191192192192192191191189188187186185184183182181181182182182184184185185187188189188188187187188189193197197198200201201201203206208208207209210210211211211211211208207204201199199199199199197198200199200198195194195194195194193192191191189188187187187188188188188189189190190189189189188189188188188188188187186187187188189189189191191195200200198197196195196195194192190188188188187187187187188187186186187188190191192195199200201202203203201201202203203203202202202202202201199198196193188182 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999222220220221221221220220219219217215215216216217218219219218216999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999217218217216215217218218218218217217217218218217217216216218218219220221221222222222222222223224226226226226225224224223223222222221222222222222221221221220220220220220222222223223223224225226227229229230230230229228229228228227227226224223223224223224225226228228228230230230230230231230229228228229230231231231232232232232233233233234234234234235236235233999999999999999999999999999999999999999999999999999999999999999999206208211211208207205201200199199199200199199199198195193193194194193193194194194195197201203203204205206209211212211209203197194191191191192190188185181176174175175175176178179179180181181183183186186186188191192194196198201203203205206205205206206207206205206206206206205206207207209211211211211211211211210210210209210210209208206205204203202200199199198196196197197194194192191191190189190188186188189190191191191192193193193193195196197196194196198195195193195193194195195196196196196195194194195195195193193192194191192192189188187188188189190192193194197197198199198198197196197197197201200201200199199197198197197197195194193193192192191192191192193192192191190189188187185184183181180180180181182183184185185186188190189189189189190192195197198200199199199201203208208209209210211211210211209209210209207204201200199199198196197197200201201198195195194195196195194193193192190189190189189189189190190190191191191191191190190190189189189188188188189189190190190191192194195201204202201200200199198199197197193191191190189189189189188188187188189190191192193197199200203204204204203202202203204204203203203203201200198197196193187184 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999221222222222222222221220219219219218215214214214216217217219219999999999999999999999999999999999999999999999999999999999999999999999999999999212217999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999216218218219219218218218218218218218218217217219218218217217218220220221223224225226226225226225226226227227227227226224224223223222222222221222222222222222221221220220220221222223223223223225226226228229230230230230228229229228228228227225224223223224224225227228228229230231231231232232232231230229230231231231231231232232232232232232234234234235235236236237235234233999999999999999999999999999999999999999999999999999999999999205209213213214216215210201200197197198199201201199197197195195194194194194194193194197201203204204203204206208210212212211210206202197195193192189185181177175175176177178179180181183183184185187189189188190192193194196198200203203205207206205206207207206206206206206207206206206207208209211211210211210210210210209210209209209208206205204203202201200199198198198198200198196193193193190190192192189189190192192192194194195195196195195196197197198198199198197194194196195197197197197198199198198198199196195196197197194196196193193192191195191192193196195196197198200200200199198197198199200202203203202203201200198198198197196195194193193192191191192193194194193192191190190187187185184182181180179181182183183184186187187189189189188189191194196198198198199199201204207208209210212211212211212213212211210209207203200200199198198197197198200201201198195195195196196196195194193193192191191190190191191191192193192192192192192191191191191190190189189189190192193193193195197196197204205205205205204205204204203201198195195194193192192191191191190190190191191194197201199201202204205204203202202202204204204204204203202199200198195192188186 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999220220223223223222221221219219218218218216214214215216217218221999999999999999999999999999999999999999999999999999999221222222220223222221221222218218220223999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999215216219220220220219218218220219219219221220219219218218218219219222224225227228229229229228228228228229229228228228226225224224223223223223223223223223223222222221221221221222222223223224224226227227229230230231230229228229229228228228227225224223224224225227229230230231231232232232232232232232231229230231231231232232232232232233233233233233234234235236236237237236234231999999999999999999999999999999999999999999999999999999999206211213214215215214207204203200200199199202203202202202200198197195195196195195195198200203204204204203204206210212212213213212211210207204200196193188185180178178178178179181183185186187189192194195195192194194195197198199203203206208207206207208207207207207207206206207207207208208208211211210210210210209210210210209209208207206204205203202201200199199199198202204201198196194194195195195194194190191192193194194195196195196197198198199202201201200200198197199196198199199199200200200199199200202200199199198199199198198197197197195195195196196196198199200199200200201198198199201200200201203203203203202202200198198197197196195194193192192192193193195195195194193192190189189186185185183181181182182184184186187187188189189189190190193195197197198199200201204206208209210211212212213214213213213214212211207203200198198197197197197198200200199197195195195197197197196195194194193192192192192192193193194194195193194193193193193193192192191190191192192193194195195197199199199204206206207207206206205206205203200198198198198197196195194193192192193193193195199200200203204205206206205203203203204204204204204204202201200199197192188186 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999221221222223223222222220219219219218217216215214215216217217218218222999999999999999999999999999999999999999999999220221221223223223224223223223222221222225225999228231999999999999999999999999999999999999999999999999999999999999999999999999999999218218220219219219220219218218219219218219221220219218218219220221222224226228230230231231231231231231230230230230229229227227225224224223224223223224223223223223223222222222222222223223225226227228228228230231231231229228229229229229228227226225224224225225227228230231231232232233233233233234232231231231230231231232232232232231232232233233233234235235236237237237237237236233999999999999999999999999999999999999999999999999999999999209214214215216217217216210209203203201202205205205204204203202200198196198199196197199200202201202201202203206212212212214214215215214214213211210205201196192188185185184183185190193196195198199200201201200198197199198198199203203206208207207208208208207208207208207206207207207207207207208209209210210210209209209209209208207206205204203202200200200202201201202205205203201198198197199201200201197195198201200199201201203203203202203203200203204202202199200200200198197198198199199199200202202202202201200200198197200200203203200202199201201199198199200201201200200200200199199200200200201202204204203203202202202201199197197197197195193193193194195195195196196196195194191191191189189188186185183183184185186187188188189190190191191191193196199199200202203205205207208209210212212213214214214214214214213210207202198198197197197197198199200200200198197196197198199198196196195195195194193194194194195195195195195194193194193193193194192192192192192192192193195197197199201201200204205206206206207207206207206205202201200201202201200199197197196195195195196197199201203205205206207208206205204204204205205204204202201202199196194191189188 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999221221222222222222221219218218217217217216215215215216217220999999999999999999999999999999999999999999999220220222222222222223223224224224224225225225226227225227227228227223999225999999999999999999999999999999999999999999999999999999999999999999999220221220220219219219219219219219220222221220219219218219221221223226228231232232232232232233233233233232231231230230229228226225224224224224224224224224224224224224223223223224224225226227229230230230231231231230229229229229229229228227226225225225225227229230231231232233234234234233233233232232232232231231232232233233233232232232232232233234235236237237237238238238236234999999999999999999999999999999999999999999999999999999999999213215216215216216214213210209208207207209208205205205205204203200199199199198199200200200199200199202205209212214214215216217218218217218218217215212210207204201200201202202202203204205207207207206206206204202200200200201204204205208209208209209208208207208209209208208207206206207207207207207208209209209209208209207207206205204202201201200201202203204205206206205204203201202200204204204203202202201204205205205206208208207207205206206206205208207201199199199198198200199199200201202202204201200198200198201200200204203201201202201201201201200201201201201201201200199198199199200203204205205203203202202202202201201200198198198196194193193194194195196196197197197196194193193192191189188187186186187187187188188189190190190189190194196197200203204206207207207207209210211212213214215216215217216215214212208202198197197197197197198199200200199197197198198198199198197197196196195194195195195195195195195195195195195195195196195195194194194193194194194196197198200201201202202203205206204205207208208208207205203203204205205205204203202200199198198198198201203205206206207209209209208207206205205206205205203203201201199196194192190190 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999220220221222221221220220218216217217217217217216216216218220999220999999999999999999999999999999999221222222222222222221222222223222223223224224226227227227227227227226225226226225999999999999999999999999999999999999999999999999999999999999999999220222222220220219219219219219219220221221221220220218219221222224226228231233233234233234233233233233234233232232232231230229228226225225225225225225225226227227227226226227226226227228228229230231232232232233232231229229229229229229228227227226226226228229230231232232233234235234234234234235234234233233233232232233233233233233233233233233233234235236237237237239238238237235999999999999999999999999999999999999999999999999999999999210215217218218218217216214214213213212212212208206206206206205205204202201200202203203202201199200201205210211212213214215218218219220220221221221220219219217213213212211211212211212212212212211212212211209208206204201200203206206206207209209210210210210210210210210210209208208206206206206206206207207208208208207207206205204204203203203203203203205206208208207207205205205206207205206205204204204203203206206207207207208208208208209209209208205209208210204203202198197198198199201203203203201200199200202202204202203203204204202202202203203201202202203202202202200199198199200201204204205205205204203203202202200198198198198199198196194194195195196196196197197198198199198196195194192191190189189188189190189190190191191191190190192195197199204205205207207207207208209210211212212212215215217218218216215212210204199197197198198199199200200199199199199200200200199198199199199198196196195195195195196196196196196196196195195196196196196196196196196199201203204204204204204205205205204205205205206207208208207206207207207207207207207209208204203203202203204204205207208208211211211210210209210208206207206206205203202200199196197194192192 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999222220220221221222223222222221220220219218218218216216216217218219220222220224999999999999999223222221221221222222222222222222222221220221221223224225226227227228227227226226226226225226999999999999999999999999999999999999999999999999999999999999224221221222222220220219219219219220220221220220219219220222223224225229230232234235234235234234234234233233234233233233231230231230229228227227226226226227227229229228228229229229230230230230231231231232233234235233232231230229230229229227226226226227228229230231232233234234235236236236235236236235235235234234233233234234234234234234233233234234235235236237237238239239238237999999999999999999999999999999999999999999999999999999999213213216217219219218218217217216216216216216214208207206206206206205205203203203204205204204203205206208209209211210211212215217219220221222222222223222222221221219219217216216216216216215215216216215215215213213211207204201206208207207208208210210211211211211211211212211211209208206205205205206206205206207206206205205204204204204204204204204206206208210210209206206207207207207206205205205204204203205206207206207208208209209210210210213208207209210210209207206203202199196199201202202202203202199198203204202204203203204203202203203203203203203203203204203203202201200200201202202204204205207206204203204202200199197196196198197197197195195196197198198197197198199199199199200197196195194193192192190191191192192192192192193192195196197198202205206206207208208209209209209211211212214215217218218217216215213211205199198198198199200200201201200200200201201201201200200200200200199198197197197197198198198197198198198198198196196197196198200201203206208208209209209209209209209209208207206206205205205208209209208209209208208208208207208207207206207206206206207208208210212212212212213212212211210208208206206205203203202201199197196196195 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999221221221221221221222224225224224223221220220219217213212213216218219218221221999999999999999222223222222220221222222222222223221221220219219220222222223225226227227227227227226226226224225999999999999999999999999999999999999999999999999999999999999217219219220222222221221220220220220220220220219219220221223224226227229230232235235234234234234234233233233234234234234231231231231230230229229228228228228229231231230230231231232232232232232233232233233234234235234234231231230229229229227226226227228229230231231232233234235236236238237237238237236236236236236235235236235235234234234234234234234235235235236237237238238237999999999999999999999999999999999999999999999999999999999999213216218219219219218218217217217216216216216214209208207206206206206205205205205206207208208208209210209210210210211213214216217219221221222223224223224224224224222222221221220220220219219218218217218218218217216214212211208208210209209209208210211211212212213212212212212211210209208206205206205205205205206204204204203203204204204204206208208209210211210208207207206208206206205205205205205205205206207207206206209211212212213216217215214213212213213213212210205207201200198200202202203202202202200199200203203204203203204203203203203203203204203204204204204203201201201202204204205205204203205205204204203203201200200196196196196195196196196198197199198198198198198199200201201201200198197195194193193194193193193193193193194194196197198200204206207206207208208208207208208210212213214215217218218217217216214212208201199199199199201201200200200201201202202202202201201201202202200201201199200202204203204203202202203202201200198199199201205209211213214214214213214214213213213212212211210208207207207208210210209209209210210210210208208208208208209209208209209209210211213214214214215215214214215211209208207205205204204202201201201200199 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999226225225999999999999999222999999221221221222222222222224225227226226225224223221220218214211209211214218220220223999999999999999224224223222222222222222223222222221221221221220220219220220221223224225226227226226226225225223999999999999999999999999999999999999999999999999999999999999999999999217217220221221221220220220220219219219219219220223224226227228230231234235235234234234234233233233233233234234234232232232231231231230230230230230231231232231231232233233233234234235235235234234235235235235235234233231229229229228227226227227228230231231231232233235236237238238237238237238238237237237236236236236236235234234234234234234235235236235235236237238237237999999999999999999999999999999999999999999999999999999999999216218220220220219218218218217217217217216216215210209208208206206206206206207208209209211210209208208210209211212212213214216218219221222222224225225226226226226225225224223223223222221221221221220220220220219218217215212211211212210208208209211211212213214215215215214214213211209209207205206205205206205204203203204203203205206207208210210210211211210211208207208207206205205205205205206206207207208208208209212214216218220221222221220215217217215217216212211211205200198201201201202204204203202202201202202202203203203204204203203204204204204204205206205204202202202201202203204205205204205206207207206205204204202201199197197196196197197198199198199198198198199198199199201201201201200200199198197196196195194194194193194195195198200202205205206206208207207207208207207209210211213214216218218219219218218216215212205200200200200200200200201201201201201201202202201201202203205203203203200203206208208209208209208207207205204205205206207211216216217217218217217218218218218218217217217216214213211209208210211211211211212211211211210210210210210209210210210209209210212213216217217216216217218217214212209208207207206206206205203203203203 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999227227226225999999224224223221221221222222222223224224224226227228227227226224221219217213209208212214218219222999999999999999223223224224224222221221222222221219220221222222221220219219219218219220222224225225225225225223222999999999999999999999999999999999999999999999999999999999999999999999999999219220221221221222222219219221221221222223223225227228230232233235236235235234234233233234233234234234234234233232232231231231231230230230231232232232233233234235235235236237236236236236236235236236236236235234232230229229228227227227228229230231231232233234235236238239238238238238240239239238237237237237236236235235235234235234234235235236236236236237238236236999999999999999999999999999999999999999999999999999999999216218219220221220220218218217217217217217217217214210209209208208208208207209209210211211211210208208209211211212214214215216218219220221222224225226227227227227227226226224223223223223222221221221221221221221220219218217215212212214214212210209211213213214215217217217217216215213211211210209209207207207206205204205207207206208209209210210209209210211209209207205206205203204205205207207208210210210211211211213217220222225226227226225222224224223221219218213217210208201199201201200201203203203203204203201202202203203203204204204204205206205204205205205205203203201201201202204203203205205206207208209207207206206205203202198197197197196197199199198198198198198197198199200200201203202201201200200200199198197196196195194196197199200203206207206207208208207207207207207208210211211213215218219220220220220220218217214210204201201201201201203203202201201201201201201202202202203206205204203202206209211211213213213211210209209209209210211214216218219219220219219220220220220221220220220220220219217216215212212210211212212212213212212211210212210210208210211210210210211212214218219218218218218219220218216213211210210209209207208206207207206 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999240230228228227225224226223222222222221222222222223224224224226227228227227226225223219215212208207210213999999999999999220222223223223223223223222222222222222221219221222222222222222221219218218218218219221223224224224223223999999999999999999999999999999999999999999999999999999999999999999999999999999999218220220221220222220220221222222222223224225227229231232234236236235235235234234233233234234234234234234233232232231231231231230230231232232233233233234235236236236237238237237237237237237237237237236236234231231230229228228228228229230230231231232233235236237238240241239239239239240238238238237238237237236236235236235235235235235236236237236237238238235999999999999999999999999999999999999999999999999999999999216218219219218219218218217217217217216217218218217213211210210210209209210211212211212212213212211210211213214214216217218218220220220221222222224226226227227227227226225224223222222220220220220219221222222222223221220219218216213214217216214209210211213215216217217219218218218217216213212212211210210211211210209208209209209209210210209209208209209210209209206206205205205205206207207208209211213214214213214218221223224227229229229230228227223227225225221222221218215207206202200199201202203202203203204204203203203203203203204204204205206207206206205205205203202202201201202203204204205205206207209210209209208208207208208206202199198198199199200199199198198198199198199199200199201204204203203202201201201201200199198197198198199201204206207207208209209208208207207207209210212213214216217220221221221221221221220219217214209202202202203204204205204203202202202201202202203203204206206205204204207211212213214214214213212212213214215215216218219220221221221221221222222222222223223222222222221221220219219218216214213212213213213213212213212212211210209209211213211211212213214218221220219220220221222221219214213211211210210211211210210210209 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999229229229229229229227226224224223223223223223223223223223223225226227227227227227226224219217212209208211999999999999999999220221222223222222222223224223222223223222220222223223222222223222219218218217217218220222223223223222999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999219220220220219220220222222221223225226228229231233235236236236235235234234234234234234234234234234234233232232231231232231230231233233234234234235236237237238238238239238238238238238238238237238237235234233232231230228228230230231231232232233234235236237239240240240241240240239238238238238238237237237237238238237237236236236236236237237237238238237999999999999999999999999999999999999999999999999999999217218220220220219219219219219219218217217217218218217213212211210210210210212211213214213214214213212212213214215217218219218219220220220222223224225225225226227226225226225224223222221219219218218218220221221222223223220220219217216215217216214211210211213216217217218218219220219219218218215213211212211213212212212210210210210210209210209209210210209208207207207205206207206206207208210210210212215214215216219223224228229230231231231229229228231230226227226224224219215213215209206199199201201202202203204204204206205205205206205205206206207207207207205204202202201200201202202203205207207207208208210212211211210207208210209207206204202200200200200200200199198198199199200200200200201204205205205205204204202201201200200199199200202204206207208208208208208208207207207209211212214214215216219221222222223222223222222221219217214206203204204205205205204204203203202202202203204205206207207206204205209212212213215215215215214215216217218219219220222222222222222223223223223223223224224223223223222222222221221221220218216214212213213214214213211211212211211210210211211212212212214218221222222222221222223223222217215214212212212212213213212212211 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999230229229229230230229227227227226225225224224224224224224225226226227226227227226226225222218214211210212214218219220220221221222222222223223223224224223222223223224224225225225224225223222220218218218218218219221223223223224228229999999999999999999999999999999999999999999999999999999999999999999999999999999999999999220219220219218219219221222223224226228231232235236236236236235235235234234234234234233234234234233233233232232232232231231232233234234235235236237237237238239239240239239239239239238238238238237236235234233231230228229230231231231231232233234235236238239240241240240240239239239239238238238237237238238239239239239238238238239239239239239239238999999999999999999999999999999999999999999999999999999999219221221220220219220221220220219219218217218218219217213212211211210210210213215215216215215216216215213213214216217218219220220219221221222223223223222223224224223223224223223222221221221221221220220220221222224224224221220220218218216217215213211211212215217219220221221219221220221220220219216214213214213212212212210210209209209208208208208209208208207207205206207208208207207208209210210211213214215217220224226226230231232232232232231232232230231229227228223224221219218216208206202201201201202202203202205205206206206207207207208207207208207206205204203203202201202202203203206207209209210210209211212211211210208209210210209209208206204201201201201201200200199200200201201201201200203204205206207207206205203203202202200200200202205206205206208208208209209208209210210212214214215216217220222223223224224224224223222221218216211205205206206206206206206205205205205204205206206206207208207205206209212213213215217218217217217218219220222223223223223223223224224224225225225227226226226226226224224223223222222221221220219217213213214214214214213213213214213213213212212212213214219223223224222223225224223223220218215215215214214214215214213213 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999233229228228229230231230229228228227227226226226226226226226226227227227227225225225225225224221217213212214216219220221222222222222221222223223224223223223223223224224224225226226225225224223222219218218217217218221222222223226229999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999220221220220220221222223224226229231233236236236236236235235234234234234234234233233233233234233232232233232231232232232234234234235236236237237238238239240240240240239239239239239239239238236235234233232230230230231231231232232233233234235237238240241241240240239238238238238239238238238238238239239240240240239239239240240240241241240999999999999999999999999999999999999999999999999999999999219220221220219218219220220220220219218218218218219219216213212211211211212214216217217217218218218218217215215216218219220220220221221221222223222222221221220220220219218219220221221222222222224224223222223223224225224223221221220218216217216215213212215216218219221221221221222222222223223222220219217216215213212211211210209209208209209208209209209209208207207208208207207207207208209210210211211213215217221224226228229231231232233231232232232232231231231231228226226223221219216213208203202202202200201202202202203205205206206206207207207207206206205203203202202201202202203204205207208209212212212213214213213212214212211211211211210209210208205204202201201201201202202203203202202201201202204205207208208208207205205204204204203203204205206207207209209210210209209211212212214215216217218218222224225226226226226226225224223221219215209207208208208208208207208209209208207206207207208208209208207206209212213212214217220221220220221222223223223223223224224225224225226227229229230231231231231230228227227225224223222221222221220216214214214215215215215215216215216215215217215216218222224224224224225225225224223222220218218218218219219218218217216 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999228226227228229229229229229229229229229229229229229227226226226228227227226225224224224223221218215215217218220222223223224223223223222222222223224223223224224224225225226226226225224222222221219217216216215217219220221223229999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999219220220220221221221222224226228231235236236236236236236235234234234234234234234233234234233233232232232232231232232233234234235236236236237239239239239240240240240239239239239239239239238237236235234232229230230231232232232233233233235236237239240241241240239238238238238238238238238238238238239239240240240239239239240241241241241241999999999999999999999999999999999999999999999999999999999219221221220218218220220220219219219219218219219219217214213212213213214217219219220220219220219219218218216215217218218220220221222222222223222221220219218217216215214214216216218220221222222223224224223224224224224223223221220218218217218217215214216219220220221223222223223224224226225225224223220219217216216214211211210210209209209208208209209209208208207207208208207207207207209211210210210212214216221224226228230233233233232232230230232233232232232232231230229228226224219218213208204202202200201201201202202202202203205204205206206206206206206205203203202202202203203204206207210212215215216216216217218217215217217215214213213211211212211209208206204203203203204204206205203204203202202204205207208208208208208207206207206206205207207208208209210211210210210211211212213216217219219221223225225226228228228228227227226225223222218213209209209209209209210210211211209209208208209209210210209208209211213214214214217220221222223224224224223224224224225226226226227229231233234234235235234234234233232231230227226225224223222221220219216214215216217217217218218218218217218219218222225225224224226227226226225227225223224224224223222223221220221221 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999227225226227227227228229230231231232232232232231230227227227227228227226225224224224224222221218217217218219221223223223224223223224223223222223223223223224225225225225226226226225224222222221219217216215215216218219221999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999220220221221221222224225226228234236236236236236235235234234234234235234234234234234234234233232232232232231232232234235235236237237238238239240240241241241240240239239239239239239239238238237236235234231230230230231232232232233234235237238239240241241240239238238237238238238239239238238238239239238239239239240240241242242242242999999999999999999999999999999999999999999999999999999999999220222222220217219220220219218218218218219219218216214214214215216217219221221221221221221220220221220218216215216217218219220221222223222222221219217216215215214213213213214213213214217219220221222223223222222223223222222221220219217218217217218220220222222222225226226227228229229229230230228227224221218216216215213211211210211209209209210210209209209208208208207207206207207208210210211211213213215218223226228229230233233233232233232233234233233232232232231230231229227224220216211211204203202201201201203202203203202203202204204205206206206206206205204204204205206207208209211212214215217218218218219219219220218220220219220218215215216213214213211210209208207207208208208208206206204203203204206208208208208208209210210210209208208208208208210211212211211211212213213215216218220221222224225227228229229229230229229228228227225223221217212211211211211212212213212212211211210209210210212212211210211213214215215215219221223224225226225224225225225225226227228228230232234235235235235235234234234233234234232231230228226225224222222221219216217217219219219218219219219220218220222225226225226226228228228229228228228227228228227227227225223222222223 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999226227227226226227229231231232233233233233231229228228228229229228227226225223223222221219217214213216219221223223223223223224224224223223223223224224225224225226226227227226225225224224222221219215214214214215218220999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999221222221222222223224225227231235235236236236236236235235234234235234235234235235234234234233233232231232232232233234234235236237238239240240240242243242241241241240239239239239239239238237237237235232231231230230231232232233233234235235238240240242242241239238238237238238238239239240240238239239238238239239240242242243243243242999999999999999999999999999999999999999999999999222221220999221222223219217218219219219218218218218218216215214215217218219220221222221221221221220220221221220220218215213215215216218219219220222221220218217215215214215213212213213213212212212213214216217219221221222221221220221221219218219218218217219222222223224224225227228229230231231231232233233232230229227223218215214215214212212213212212211212211210210210208209209208207207207208209210211213214214215217220224227229231231233233233232233234234235233232232232232232232231230228222220216208209204203202203203203203203202204203204202204205205205205206206205206206206208210210211212213214217218218218219219220221222221221221222222221223222220219220219218216214212211212213212211211210209208207205205204205205207208209210210209211211211212212211211210211211212212212212211213215215217218220222223226227228228229230231231231231231230229228227225224221215212212212213214214213213212211211210211211212216216214213214214214216217219221223225226227226226225225225225227228228229229231234235236236235235235235235235234234234233232232231230229227225223222222220220220221221220220220221220221223224225226226227228228229228230229230230230229230231230229229227225223222223 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999230226225225226227228228228230232232232230229229229229230230229228227225224223222220219216215215216217220222223223223224224225224223224224224225225225225226227227227227227226226225224223223221217214213213214218221999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999222222223223223225226229232235236236236236236236236235234234234234234234235234234234234233233232232232232233233234234235235236237239239241241243243243242241242241240239239239239240239238238237236233232231231231231231232232233233234235238240242242243242240239238238238238238238239239239239238238999240239240241242243243243243242999999999999999999999999999999999999999999999224222222221222221223222218217218218218219218218216216215215216217219220221221221221221220220219219220220220220219219217216214214215216218218217218218217217215215214214213213212212211211212213213213214215215216217219220219220220221220219218217218218217220221222224224225227228229230232232234234234235235234234234233230229224219215215214213212213213212211211211211210210209209209207207207209209210210211213215216219221227227230231232232231232233232232231235235233233235231232233233231230226223221216209212205205203204204203203203204204204204205206206207207208208209210210209210211213213215215215217219220220219219220221224224225226226225225225226226226225223223222219218216216216215216215213212212211209207206206207206207208209211211212214215213213213213214214214213213214215214214215216218220222224224226228229230231231231232233233232232231230229229228225223218214213214214215215214213213212212212213214215215216216215215216218219219221223225226227227227227226226226227229228229231231234236236236236237236236236236235235234233234232233233232231230228227224224221221222222223223222222222222223225226227228228228230230230230231231231232232234232231232230230229227226225224 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999227227226226225225225999230230230230229229230230231230230229228227225224222221219217217217217217218222222223224224225225225225224224225227227226227228228228228228228227226226225225225223220215215214214218999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999221222223223224225227230234235236236236235236236236235234234235235234234234234234233233232232232232232233233233234234235235236237237238241241242243243242242242242242241241240240239238238238238237235234233232232232232232232233233234236237238241243244244242240239238239238239238237238238238238999999239239239241242243243243241999999999999999999999999999999999999999999999221223223223222221221223221217217218217218219218217214214215217219220220220221222221221219219219218219219220220219219219218217216215216217217217214215214213214213213212211211211212212211212212213213213215215214216216217217217218218218218217217217218218220220220222224225227228231232232234234235237237237237237237236234233233229226221218214214213213213213211212211211210210210210210208207209208210209210212214217220222222225230231231231231232230233229232231235234234233235234233233232230230228225221216211207207205204204204204203203203203205204207207208209209210211212213213211213213215216216216219220221220220221222223224225226227225228228228229229229229227227226225223221219219219219218217216214214214213211210210210208208209210212213215216218217217216216216215215216216217217216217219221222224226227227228230230231232233233233234234234233232231231230229227225221216215215215216217216215214213213214215216215215217217218218219220220221223224226226227228228227227227228229230229230233233236237238238237237237236236235235234234233233233234233232233232231229226226224222224224225223223224222224226227227230230231231231231232233233233233233232232232232231231232231230228227225 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999229229229229229230231231231230230229228226225223221221220220220220220220221222223223224225225225225225226226227226226227228228228228227227228228227227226225225223221217214214215219221224999211999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999222223224224226228231235237237236235235235235235235235235235234234234234234234232232232232232232233233233234234234235235235235236237239241241242242242243243242243243243242240240240238238237237236236235234233233232232232233233235235237239240242245244244242240240239239239239238237237238238999999999238239241242242241242999999999999999999999999999999999999999999999999220222222222222221221223220217217218218218218217217216216218219220220221220221222222220219219219218218220221221221221220220219219218217216217216214213213212212212213212212211212213212212212213213213213214215215215215216216216216217217217216217217220220220219219221223225227229233233236237238238240239240239239239240238237235233231229223219215213213213213212213212211211210209210210209208209210210211212214215219222223227230231231232231232231230230232233232233234234233233234231232231231230228226223219212207206206206205205203203204204204206206206207209210211212213215215215215215216218218219220222223222222222223225226228228228229230231231231231231232232230229229229228226224224222223222222220218216217217217215214213212212211212214215217218217218219217217218218219219219219219220223224227228229229230230231230232233233234233234235235234234233232231230229227226223218217216216217218218217216215215216216216216217219219219220221222222224226227227228228228228228228229230230230230233234235238238240239238238236235235234233233233233232232232232233233233233230228228226223223224225225226225225225228230230233233233233233233236236235236236235234234234234234234234234234232231231 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999229230229229230231231231231230230229228226225224225223223223223223222222223223224224224224225224225226225226225227227227229228229227228229229228229228227227226224221217216217220222224999999999999999999236999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999222223225226228232234237237236235235234235235235235234234234234233233233233232232232232232233232233234234233233234234235235236237239241241241242242243242242243244243243242242240240239238237237236236236235234234233233234235236236237240241243245245245245243242242241241240239238238238239999999239239240242242239999999999999999999999999999999999999999999999999999999219221221221221222222222220218217217217218218218218217218219219220221221221221221221221220219219219220222221221222223222222222221220220218217215214214213213213213214213212212213213213213213213213213213215215216215215216216216216216217216218218218218219218218218220224227230231233234236237237240241242242242242243242242241238236235233231226218216214213213213210213212211210210210210209208210209211211213215219221223226229231232231230231232230231233232231232233234233233233233232232232233231230227223219215209208207205205206207205204204205208207207208210212213215215216217217218219220222222222224224224224224226227228229230230231232233232232233234232233233232233233232231231229228226225225225225223221221220220219218216215214214214215217218219219220220220220221222222222223225226227228229230230231232233233232233233234234234234235235235235234234233232231229228227225220219217218219219220220219217217217217216216218219220221222223223224226227227227228228229229229230231231232232233235236238239239240239239239237235233233233234233232232231231232233232233234232231228227225225225225226227227226228231231235235236235236235236238239239238237238237237237237237236236237236236235234 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999236230236230230231232232232231231230229228228227226999999226226227226225225224224224224224223223224225225225227227228229231231230230229230230230229229228227226226225222218217220221222222226999233230230233235250230999229230999999999999999999999999999999999999999999999999999999999999999999999999999223224226230232235237236236235235235234234234234234234234234233233233232232232232233233233233233234233233233233234234234236236237240241241242242243243243244244244244243243242241241240238238237237237236235235235235235236237238239241243245246247247246246245244244244244242242240239239999239239240241242999999999999999999999999999999999999999999999999999999999999999220220222223222223222220219218218218219220219219219219219220221221222222222222222221221220221222223223223223224224224225224224222222222218216214214213213213213214214214213213213212212212212213213214215216216216217217217217216216216217217218219219218218218219222225228231231233235236239240242243244244245245244245244243241239238236235232226222217214213213213214213211210210210210209209209210210212214215220222225228229231232230232232233232232233232231230232234233232232232232232231232233232228224221215209208205205204204203203206205206207208208209212213215216217218218219220220221222223223224226225226227229230231232233233233233233234233233234233234234234234234234234232232232231229229228228227226224223222221221220220219218217218218218220221221222221222223223226228229230231231232231232233232233233233233233233234234235235235236236235234234233232231230229228226222220218219221221221222221219217217217217218219220221221223224224224225227227228228229230230231232232231232233233237238238240240240240239238238236233234233233232232232232232234234234234235234232229228227226226227227227227227230232233235236237238238237238240240240241239239239239239238238238238237237237236235 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999233235234231230231232232232232232231231230229999999999999999228229229228227226226226225225225224223223224225226227228229230232231231231231231231231231230229228228227225222220221221221222223226228229230229231232230231233231999999999999999999999999999999999999999999999999999999999999999999999999999999224227230233236237236236235235235234234234234234234234234234233233233232232232232232232232233233233233234233234234235235236237239241241242242242243244244244244243243243242242242241241240238238237236236235236236236236237239240242245246247247248247247246246246246246246245243241240240240239241241999999999999999999999999999999999999999999999999999999999999999999220220221223222223223221219218218218219220219220220220220221221221222222223224224223223224225225226225225225226227227227229228226225224224220217215213213213213214214214214213213212213212213213213214215216216217217217217216216216216217217218218218219218218221224227230231233234236239241242244245245246246245246247245244243242240239238236232228221218215214213213213213211211210209210209209208211213214216218222225227231232233233233231231233232233231231229232233231231232231233233233233233232229226222216207206205205204205204203205208208208209210211212215215217218219220220221221222223223224225226228229230232233233234234235234234234234234234234235235234235235235235235235235234234233232232231230229228226224224224224222221220220220220220221221223224225226227230232233233233233234235234234234235235234235234234235235235236235235235236236235235234233232231230229227223221219220222222223223223221219218219218220221221222222223225225225227227228229229231231232232232232234234234235239241241241241240240240239237235234234234233233233233233233233233234235235235234233230229228227228228228229229231233234236237239239239238240240241241241241240241241240240240239239239238238237236 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999230229228230230231232232233233233233232999999999999999999999999999232231231231231230229229228227225225224225226227228229230230232232232232232232232232232231231230230229226225224224223223224226229231230229228229230231233234999999999999999999999999999999999999999999999999999999999999999999999999999999999226229232236236236236235235234234234234235234234234234234233233233232232232232232232232232233233233233233234234234235235237239241242242242243244244245245244243243242242242242241241241239238238237237237236236236237238239240243246247247248248248248247247247247247246246245244242241241242243241999999999999999999999999999999999999999999999999999999999999999999221220220221222222223222221219218219219219219220220220220220221222221222224226227228226227226226226226227228228229230232231230231229226226223218214214214214213213214214213213212211212212212213215215216216216216216216217217217217216217217217217218219220222223226229231233235237239240243244245246246246247247247248246246246244243241240238236233228223219215214214213213212212211210210210210209211212215218221225228230233232234235233231232232231232231230230231230230230231232231233233232234232231228222217208205204204204205207206206209208208209211212214215217218219220220221222223223223225226227228230232233234235235235235235235235236236235235235236235236237237237237236236236236236236236235234233232231230228227227227226224224223225225226225226227230230231232233235235235235235235235235235235235235235235235235236235236236236236236236236236235234234232232231230228225222220221221222224225225223221221221221222223223223224225225226227227228229229231231232232232232233234235236239238241241241241241241241240238234236234234234233234234234234234235235236237237237235232230229228228228228230230231234235236237240240240240241242243244243243242243243242241241241240240239238238238 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999227227227228230231232232232233233233233233999999999999999999999999999999999232233234233232230229228227226226226226226227228230231230231232232232232232232233232232232231230228228227226226226226228229230230228228229229231232233235238222999999999999999999999999999999999999999999999999999999999999999999999999226229232236237237236235235235234234234234234234233233233233233233233233233233232232232232232232233233233233234234234236238240240241242242243244244244244244244243242242242242242242239239239240239238237237236237237238239241244246247246247248247248247248248248248247247246246245244243244244999999999999999999999999999999999999999999999999999999999999999999999999220221221221221222222222219219220219219220220220220220220220222223225227229229228228227227228228230231231233234233235234233233234228227228224220215214214215214214214213213213213212212212212214216216217216216216216217217217217217217217217218219220222224225228231233235239241242244245246246247247248248248248248248247246246244244242240239236233229226219214214214213212211212210209210209210212213217219223227228230233233234233232232232231231230229230230231230230231231231232232232233233231230228222216212205205206206205206206207207208209209212213215217217219220220221223223225225226226227230231233234236237237237237236236237237237237236236237237237238238238238238238238237237237237236236235235235234234232231230230229229229229230229229229231233234234235235236235235236236236235235236235235235235236236236236237236237236236237236236236235235235234233233232230229225223221221220222225225226225223223223223223225225225225226227227228228230230230231231232232233234236237238239240240241242241241242242241240238236236236235234235235235235235235235236236237238239237232231229229229229229230230232235237237239240240241242243245244244244244243243244243243243242242241241240239238 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999227229229229230232232233232232235235999999999999999999999999999999999999999999999999999999999999999999227226226224226226227228229231230231231231232232233234233232232232232231230229227227228228228229229228227228230230231232233999235999999999999999999999999999999999999999999999999999999999999999999999999999999226231234236237236235235234234234234234234234234233233234234234234234234233233233232232232232232233233233234235236237237239239240242242243243245245245244244242242241241241241241241241240240239238238237237237237238239241244246246246246246999999247249248249248248247247246245245244243999999999999999999999999999999999999999999999999999999999999999999999999999221222222221221221222222220220220219219219219220220221222223225227228229229228229229229230231232234235235236238238238237237236235232230230230226221217215214214214215215214213214213212212211211212215217218217217217217217217217217218218218219220224225226228230234238239242243244245246246247247248248248248248248248248248247246245244242240238236233229225219214214213212211212210208209210210211213218220224227229233233234233233234232233232230229229231230230231230231232231232234233233235232233231227222214207206206205205206206206208209211211212214216217219219221222222224226225225227228230232234236238237238237238238237237238238238237237237238238238239239239239239240239239238239238237237237237236235235234234234233233233234232233232233233234235236236237236236236236236236235236236236237237237237237237237238238237237237237235236235235235236235234234233233231229227224222220221223225227227227226226226226225226226227227228229229230230230230231231232233234234237240242242240241243242244243244242242242240237237236236236236235236236236236235236237237238238238238234231231229230230230231230233235237238239241242242243244245245245245246245244244244244244243242243242240240239 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999232231230231232232232232231999999999999999999999999999999999999999999999999999999999999999999999999999999999225225225226227229231230230229231232233234235234233233233233233232231229228228227227226226227229229229231231231231232233243232999999999999999999999999999999999999999999999999999999999999999999999999999230234236237238236236235234234234234233233234235236236237237236235235235233233233233233233233232233233234234234237237238240240242242244245245245245243243242241241241241241241241242242241239238238237237238238238239242245246245999999999999999248249249249248248247247245244243999999999999999999999999999999999999999999999999999999999999999999999999999999999223224223221221221221222221221221220219219219220220221224226227227228230231231232233233234234237239240240242239240239239239238234236236234232233228220216215215214214215215215215214214213211211212215217219219219218217217217217217218218219222224225226228229233237240242244245246246246247247247248248247248248248248248247247246245245243242241239236232228224217215215214212211210209209210211211215218220224229231233234235234233234234232232230229228229230231231230232233233233234234235234234234231228223216210206205205206206207207208210211212214216217218219220221223224224225226227230232234236237238239238238239239238238238238238238238238238237238239240240239240240240240240240240239238238238238237237237236235235236236235234234234233234236235236237237236236237236237237236236237238238238238238238238238238239238237237236237236235235234235236235234234234233232231229226223222221223226228228228228228228227226227228228229230230231231231231231231231232234235236239242241242242242243243243243243243242242241238238237236237237237237237237237236236237237238238239238235233232231230230231232233235237238239241242242243244245245245244245245246245245245245244243242242242241240238 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999233232231232232231231230230999999999999999999999999999999999999999999999999999999999999999999999999999999999225225224226227230230229228229232233234235235235235235235234233233232232230230229227227228228229230230230231231230231233239236999999999999999999999999999999999999999999999999999999999999999999999999999230233236238238237236236235234234234234234235237238238238237237237237237235234234234233234233233234233234234234235236238240241242243244245246245244243242241240241241241241241241242242241239239238238238238238238239243245245999999999999247248249249249249249247246245244241999999999999999999999999999999999999999999999999999999999999999999999999999999999223225225225224222221221221222223223222221222222222223225228228229230233235237239240241240241242244244242242243242243242240242243239237238236235236234229224218216216215215216216216216216215214214215217219220220221221220218217216216217219222224226227228229232236239242244246246246247247248248248247248247247247247247248247247247247246245243242240239237231228222218216214214213212209211212213212215219222225229232234234235234234234233231230229229228228229229230231232233233233234233234234232234232228224214210206206206207208207208212211212214216217219219220221222223224225227228230232235237238239239239238238239238238238238239239239238239238239239240240240240240239240240240241240240238238238238238238238237237237237237236236236235235237237237237238238236237237237237237237238238239239238239239239239239239239238238237236236235235235235235236236235234234234233232230228223221220224226228228228229229229228227228229229230231232232232231231231231232233236237239242242243243243243243243243243243243243242241240239238237237237238238237237237237238238238238238238239236233232232231231231233233237238239240242242242243244245245244245246246246246245246245244244243243241241239239 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999234231230229230229999999999999999999999999999999999999999999999999999999999999999999999999999999999230226224224225227229229229229230233233234234234235235235235235235234233233233232231229228228228230230229230230230230231233238999999999999999999999999999999999999999999999999999999999999999999999999999999999232236238238238238236236235234234234235236238239238238238238237237237237236235235234234234233233233234234235236236238240242243244244245246245244242242241240241241240241241242242241240239239238237237237237238240243246246999999244246247248248248249249249247246245999999999999999999999999999999999999999999999999999999999999999999999999999999999999999222225226225225224222222221222223223223223223224225227228230232236238239242244245245247247248247247247245245246246245244245244244243242240239238238237234229225220219216217216216217217217217219218218221221221220220221221221219217217218222224225227228229231234239242244246247248247247247248247247247247246246247247246246246246247247247247245244242241239234229225221217216214214212212212212213213215219223226231234235234238237235234232230229229228228229230229232231232232232233234232232234232234231229225217211206206207208210210212213213215216217218220220221222223224225227229232233236237239239240240239238239238238238238238238238239239239240240241241240241241241241241241240240240240239239238238237238238238238238238238237237236235236237237237237238237237238238237239239240240240240240240240240239239239239239238238237236236236235235235235235236236235234234233232231229224221221222226228228228228228228228229230230231230231233232231231231230231232234236238240242243243243243244244243245244243243243242242241239239237237237238238238237237238238238239239239239239237234233232231231232233236238239241242242242243244245245245245246246246247247246246246246244244243243242240240 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999229226225224225227229229229230232234234234235234234235235236236236235235234232232232231230228229229229228228229229232236238236240999999999999999999999999999999999999999999999999999999999999999999999999999999233237239239238238237236236234235235236238241239239239239238238237238238237236235235235234233233233234235235236236238240242243244245245245245244242241241241241240240240240242241240240239238238237237237238238240244246246243999999999247247248248248248248999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999223225226226226223222223222222223224224224225227228230233236239242244245247249249250250251250250250250250249248249248247247247246247246245244242241240237235230226222221220217217217217218221224223222223223222222221221222222221219219222224226227228229230234237242243245246247248247248248248248247247247246246247247246245246245246246246246246245243243241237233228223220216214214212212213213212214217220223228232234238238238236234233230229229229229228228230230231231233233233232234234233233232233232229224218212208208208210212213213215215216217218219220221221223224225227230232235236239239240240241240240239238238239238238238238238239240240241241243243243243243244244243243243242241241240239239238237237238238238238238238238237237237237237237238238238237238238239240241241241241241241240240240240239239239239239238237237237236236236236236235236236237235235234234233231229226222221223226227229228228228228229230231230230231231232231231231230230231233235237239241244245245245244245246246245246245244243242241241239239238237238238238238237237238238238238239239239240237234233233232231233234237239241242242243244244245245246245246246247247248247247247248247246246245244243241240 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999228226227226227228229230230233233233233233233233233234235236236236236236236235234234234231229228228227227227226230232999254999999241999999999999999999999999999999999999999999999999999999999999999999999999999233237239240239239239238237236236237239240241241241240239239238238238238237236235236236235234234233233234235236237239240243243244245245245245244243241241240241240240240240241241240239239238238238238238239239241245247247243999999999244246247247999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999222224226228228225223222222222223225225226228229231234238240244245247249250250251252252252252252252251252251251250250250250248247249248247246246245245244241240236234230225223222220221221221224228227226225225225224224223223224223221223225227228229229232235238240244244246246247248247247248248248247247247246246247246245246245245244245245246246245244243241239236231226222218215214214212213213212215218220226231233235235237236236234232231230230230230230230230231232232233233233234233231233232234232232229225219215210210209211214215215216216217218219220221223223224226228232234237239239240240241241241240240238238238238238238239239239240241241242242244244245245245245245245245244244243243242241240240239238238238238238238238238238238237238237238238239239240241241241243242242241241241241241240240240240240239239239238237237238237236236235235235236236236236235234234233231230228224223223224226228229229229229230230230230231231231232230230230230230231233236237240242245245245245245246246246244244243243243242241240240239238238238238239238238238238238238238239239239239236234233232233233235237240241242242243243244245245246246245246247248248248249249249250249248247247246245243241 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999237237237237237999999230228228228227228229230231232233233233232232233232232233234236236236237237237236236236235231230229227227225224227999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999234235240240240241239239239238238239240241242242242240240239238239238237237237237236236235235234235233234235236237238240242244245245246246246245244243241241241241240240240240240240240239238238238239239239241244247247247243999999999243244246999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999222223224227228227224223224223224225227227229231233235239242244247249250251252253253253253253253252252252252252251250250250250249248249248248247247247247245245242241238234231230227226225226227228230231231228227227227226226225225225226227229229230230232235237239243245245246247248248248248248248247247247247247246246246245245245244244244244245245246245244241240237234229224218216215215213213212213215217219230234236236237236239238232232233230230229230230231232231231231231233231234233233233234232232231231227222214211211211213214216217217218219220220221223225225226229232236237239240240241241242241241239239238238238237239239239240241242241243242242243244246245246246246246246245245244244243243242241241239238238238238238238238238239239238239239239240241242242242242242242242242242241241241241241240240239239239239238238237238237236235235236236236236236236235235235233232231229225223223223225228229229230230229229229230231231231230229229229229229230233236237240243245246246246247246246246244244244245243242241241240240238238240239239238238239239239238239239239239238236235234233234235238241242243243243244245245246246246246246247248248248250250250250251250249248248247246244242 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999239240239239238238237236235234232231231230228229230231232233232231231230232232233233233234236236237237238238237237237236233231229228226223224226999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999236240241241240240239239239240241241242242242242241241239239239239238238237237236236235235235235234235236236236238240242244245245246246247246245245243243242241241241241240240240239239239239239239240241245246247247247999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999223225225226228227225225224226226227229231233235235240244246248250251251252253253253253253252252252251251251252250250249249250249249249248248248248248248247246245243241239237230230229229229230230232232231231230230229228227227227228229230230231231231233236240240246246246247247248248248247248248248247247247247246247246245245244244243243243243244245244243242241239237232227223219217216214214214215216219224231234236237237238238235234232233231231231230230231232231231231232234232233233232232234234232231229227222214212213212214215216217218218220221222224225225228231233236238239241241241242242242241240239238238237238238239239240240241242241241241242243243245246246246247247246246246246244244243243243242241240239239239239239239240240239239240241242242242242242243243243243242242242241241241241241241240239239239239240239238238237237236236236236235236236237236235235234233232230227224223224225226228229228228229229230230230230229229229229229229229229232235237241243246246247247247247247246246244244245243242241240240239238238239239239238238238239239239239239239239238237235235235237240242243243243243244245245246246246246246247248248249249250251251251251251250249248247246244243 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999241242241241241241241240239237237236236234233233231230230231232232232231231231231232232234233234234235236237237237238238238238236234232230228227224223227233999231999999999999999999999999999999999999999999999999999999999999999999999999999999999999999235238242243241241241240241241242243243242243243243242242239239239240239238237237237236236235235235234234235235236237239242243245246246246247247247246246246245244243242241241240240240240240240240241242245247248248247247999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999223224224226227229229227227228228229230233235237240244247249251251253252253253254254253253252252252251250250250249249249248248248248248247248247248248248248247248246246245243241237234234234232232232232233234233233232232230229230231230230231232230231233236238240242245246247247247248248248248248248247247248247247247246245246245244244244243243243243245244243242242241239235231225222218215215214215216218220226234235238238238241237235234234234232231229230231230230232233232232233233234233233235234234234232231227221217214215216217216217218219220223223224226227230233236238239241241241242242242242242241240239239238238238239239240240241241241241241241242242242244246247247246247246246245245245244245244244243243242241240240240240241240240240241241243242242243243243243243243243243242242242241241241241240239239239239239237238238238237237237236237237236236236237237236236235234233232230227224224225226227228228228228230230230228228228229229229229228228229231235238241244246247247248248249248247247245246245244241240240239238238238238238238238238238238238239239239239239239237236236238241242243244244245245245245245246247246246247247248248249250251252252251251251250249248247247245243 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999244242243243243242241241241240239238237237236236235234230230230232233233232232232231232231232233234234235236237237238238238239239239238236234234233231228226228230240239999999999999999999999999999999999999999999999999999999999999999999999999999999999999999235238239243240242242242240242242243243243243244244243241240240240239239238237237237236236234235235235235235236236237239241243244245246247247247247246247247247247246245244243241241240240241241242244245247248249248248999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999224224225226227228229229229229231234235238239242247250252253253253254253254254254253253252252251250250249249249249248248248248247247247247247247247247248248248247247247247247245243240239237236237236234235235235235235235234233233233232233233233233235236238240243244246247248248248248248248248248248248248249248247247246245245245244244243243243243243244244244244243242241238234229223220217216215218218219225229234236237238240239237236237236234232230229229232231232231233231233232231233233233235235235235233232228223218215215217217217218219221222224224226229231234237240240241242242242241241241242241240239239239238238239239240241241241241241241241242241242243243244246247247247246246246246245245245245245244243243242242241241241241241241242242242243242243243243243244243243243243243242242242241240240240239239239239239239237239239238237238237237237237237236237237237237235235234233231229226224224225226227227228230231230228228228228228228228228227227228232235238241244247248248249249248248248247246246245243240240240238238238238238238238239239239239238239238239239239237236237239240243245245246246245246246245245246247246246246248248249250251252252252251251251250249249248247246244 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999243243244243242241240240240239238238237237237236235232230231233233233233232232231231232232232233233234235237238238239239239239239240238238236236234232230230230229232238999999999999999999999999999999999999999999999999999999999999999999999999999999999999999236238239241242243244243241242243244244243244245245244243242240239239239238238239237237235235235235235234235236237237239241243244245245247247247247247247247248248247247246245244244242242242243245246246247248248247999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999225225225224226226226229230231233234237239242244249252253254255255255255255254254254254253252251250250250249249249249249248248248247247247247247247247247247247248248248248248247247246244243242241240240240240240241238236236236235235235236236237236237239241242243245246247248248248248249249249249249249249249248247247246246245245244243242242242243242243243244245244243242242239236232226222221221221221220224228232235238239238240239240236237235234231232231231230231232230230231233233235234234233233235236236233232229224220216215217219217219220221223224227230233237239240242242243243243242242241240241241240240239239239238239239241241241240241241240241241242242242242243245247247247246245246246245246245245246245244243243242242242241241241242243242243243242243243243243243243244244244243243242241240241241241240240239238237238239240239239239239238238238238237237237237237237237236235234233231228224224225225227225226228228229228228228228228228228227226227228231235238241244247248249250249249248247247245246244241240240239238238237238238238239238238238238238238239240240238237238239240243245246246247247247246246245246247247247247247249249250251252253253252251251251251250249248247246245 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999244244244244244243241240239238239238238237237237237235233231230232233233233233232233232232232232231233233234236238239239239240240239239239239239239238235233230230231230231234999999999999999999999999999999999999999999999999999999999999999999999999999999999999999235237238240242244244244243242242243243244244244244245244243242240240239238238239238238237237235235234234235236236237238240242243244245247247248247247247247247247247247247247247247247247245246246248247248247999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999226226226224225225227226228232236238240243246250253254255255256256256255255255254254253252251251250250250249249249249249248248248248247247247247247247247246246247247248248248248248248247246245245243243244243242242241242241240240240240239239238239240242244244245246247248248249248249249249249249249250249249249247247247246244244243243242242242243241242242242243244243243242241238233229227224222223223225227230235237238239239240239240238237235233231230229229231230232232230232233233233234235234234235235236235232230226221218217218219219221222223225228231235238240241243244242243243243242242241240240240240239239239238239238240241240241240241240239240240241242242242242244246247246246246247246246245246245245245244243243242242242241242242243243243242242243243244243243244244244244244245245244244244243243242241240239238239240240240240240240240240238238238238238238238237237238237236235234233231227225224225225224224224225226226227227226227226226226226227228231236238242244246248249249250250249248247246246244241240240239239238237238238238239238238237237237238239239239239239239241243244245247247248248248247245245247247247247247248249250250252254254253253253252252252251250249248247246 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999244245245244243241239239239239239239237237237237235234232231231232233233233234234234234234232231232234234235237238239239241240239239239239239239238236234233229227230230232234236999999999999999999999999999999999999999999999999999999999999999999999999999999999999236236239241242245244243244243242242243243243244244245245245244242241241239239239238237237236235235235235236237238999999241241242243244247248248248248247247246247246247247248248248248248248248248248248247999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999226226226226226227227228230235239242244247252254255255256257256256256256256255254253252252251251250250250250249249249248249249249249249248249248248248247247247247247247247248248248247248247247247246245245245246246245245246245245244243243243243243244245245246247247248248249249249250249249249250250250250249249247247245245244243243243242241241242241242242243244244243243242240238236232228227224224225225225232235238240241241241240239237236236235232232230229230230230233232232232233233233233234234236236235235233230227223221218219220221223225227230234238240241242243244244243244243244241241240240240240239239239238238239239240240241241240239239239240239240241242242242242246247246246246247246246246246246246245244243243243242242242243244243243243243243243244244244244244244245245246246246246247246246245244243241241239240240240240240240240240240239239239239239238238238238238238237236235234232229228225225224224224224224224224225225225226225225225226227230234236239242245247248249250250250249249248246246244242241240240239238238239239239239238237237237237238239240240240240240242244246247247248248248247246245246247248247248248249250250251253254254254253253253253252252251250249248247 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999242999999999999244244244243241240239239239239239238238237236236234233232233233234235235235235236236236236235235235236238238238239240240240240239239239238238238238235234232229229230231233234236999999999999999999999999999999999999999999999999999999999999999999999999999999999999237236238242243244244244244243242242243243243243243244245246245245244242241239239239238238237237236236237237237239240240241241242243245246248249250249248248247247248248248248249249249249249249250249249999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999227226227227227227228230235239242244249254256256256256256256256256256255255254253252251251251251251250250250250250250250250249249248248248247248247248248248247247247247247247247247247248248248248247248248247247248248248248247247247247246247246246246246245247248248248249249249249249249249250250250250250249249247245244243243242243242241241241241241241242242244244243244242242240238236232230228226227227231235238240240241242241238237236236235234232231231229230229230231231232232233233234235234235237236236235234231229227224223222224225228230234236239241242242243244244244244244243243241240239239239240240239239239239238238240240240240240239239238239239239240241242242242244248246245246246246246246246245245245245244244243242243243244244243243243244244245244244245244246246247247247247247246247247246247246244242241241240240240240240240239240240241240240239239238238238238238238238237236236234232231228227225225224224224224224224225224225225226226227229232236239241244246248249249250250251250249248247247244242241240240239238238239239239238238237237237237238239239240240240241244245246247247247247246245245246247248248248248248250251251252254254254253253253253253252252252251250248248 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999245244245246245244243242241240239239239239239239238238237236235234234235235235236237238238238238239239239238238238239240240240240240240241240239239239238238238237235234233231230229230233235236236999999999999999999999999999999999999999999999999999999999999999999999999999999999235235237241243244244245246244243243242242242242243244244246246246244244244242241241241240239238238238238238239240240241242242243244245246247247248249249249248249250250248248249250250251250250250250999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999228227227228230232236240243246251254256257257257257257256256256256254254253252252251251252251251251250250250251250250250249249248248248248248248248248248247248247247247246246245246246247248248248248249249250250249249248249248248248248248248248247247247248248249249249250249250249250250250250250250250249247246244244243243242242242241241240241241241242243243245245244243242242240239234234233232233232235238239239241242242242239237237236236235232231230230230230230231231232233234234234235235235237236237236235234233230229227227229232234236239240241242243243244244244244244243242242241240239239239240240240240239239239238240241241240240239239238238238239240241242242242244248247245246247247246246246246246246245244243243243244244244244244244244245245245245245245245246247248248248248248248247247247247247245244243242241241241241240241241240240241242241240240239239239239239238239239238237236234233232231228227226225225225225226227226227228228229230231234236239242245247249250250250251250250250249248247244242241240240239239239239239239238238238237237238239239240240240240242244245246246245245244244245246247248248248248248249251251251253255254254253253253253253253253252252251250248 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999244244245245244243242240239239239239238238239239238237237237236235236237237238239239239240240240240240241241241241241242242240240241241241241239238238237237237237235234233231230229230232235237999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999239244245245245245244244244242243242242243243242244245246246245245245245245245244243243242241245241241242242243242243243243244245246247247248249250250249249250250250250250252251252252251251249999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999229229228230233236239242247251254257257257257257257256256256256255254253253252252252251251251251251251251251250250250249249249248248248248248248248248247247247247246246246246246246246246246247247248248250251251250250250250250250250249249248248248248248249249249249249249249250250250250250250250249249248246246244243243242242242242241241242242242242242243243244246245244243243242241239238238238238238239239238240241241243243240238236236236235232231230230230230231231231232232234234235236236236235237237237236237236234233232233235237238240242242243244244244245244244244243242242241241241240239239239239239239239239239239240241241241241240239239238238239240241242242243244247247245246246246246246246246246246245244243244244245245244244244244245245246246245245246246248249250250250251251250249248248248247246245245244244243242242241241242241241241242242241240240240240240240239239240239238237236235234233232231231230230230229230230229229230231231232233235238241243247249250251251251250250251250250248248245242242242241240240240240239239238238238238238238239240240240240241243244244244243242243243244245247248248248248248248250251252252254255254254253254254253254254253252252251250249 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999245245245244244242242240239239239239239239239239239238236235235236236237238238239239240240241241241242242243243243242243242242241241241241241241239238238237237238237236235232231229230230231235236242233999999999999999999999999999999999999999999999999999999999999999999999999999999999238240244245247245244245244244243243243243243243243243244245246246246246246247248247246246246246246246246246246245245246245246246246247247248249249250251249250250250250251250252252252252252251250999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999231229231235238242249251255256257258257257257257257256256255254254253253252252252252252251251252252252251251251251250249249249248248248249249248248248248248248247247246247246246247247246247248248248249249250250250251250250250250250249249249248249249249248249249249250250250250250250250250250248247246246245243243243242242241241241241242242243242243244243244245245245244244243241241241239238239239240242240242241243241241238238236236234233234232231231231231231231232233233234235235236236237237237237237237238238236235236238239240241242243244244245245244244244243243242243242241242240239240239239239238238238238238239239241241241241241240239240239240240241242242242244247248246246246246246246246246246246244244244244245245245245244244245245246245246246246246246248249250250251251251251251250249249247247246246245244244244244243243243242241241242242242241241241241241240240240240240239238237236236235234234233233233233233233232232232233233233234236238241242246248250251251251251251251251250250249248246243243242242241241241240239239238238238238238239240240240241241243243243243242242242242242244246248248248248248248250251252252253255255254254254254254254254254253253253252252250 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999245246246245243242241240240239239239239239239239238239238235235235236237238238239239239239240242242242243243244244244244244243243242242241241241240240239238237237237237236234233231230230231234235238235999999999999999999999999999999999999999999999999999999999999999999999999999999999999240242244247247246244244244243242242242242243243243243244245246246246247248248249249248248249249249249248247247247247247247247248248249249249249249249249248246248248249999999252252253251252252251251999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999232232234238242246250254256257258258258257257257257257256255254254253253253252252252252251253252252252251251251250251250249249249249249249249249249248248248248248247247247246246247247247248248248248248249249250250250250250250250249250249250249249249249248248249250251251252252251251251250250248247245245245244242242242242242242242242243243243243243243244245245245245245245244243242241240240240239239240242242242244242240237236237235235233234233233231231231231233232233234234235236237236236237237238238237238237237238239240241241242243244244244245244243243243242242241241241240240240240240239240239239239238238238238238240241242242241241240240240240241241242242243244247248247245246246245246246246245245244245245245245245245245245245245246246247245246246247247249249249250251251251251251250250250249249248247246245245245244244244244243242242242243243242242242242242241241241240240240239238238237237236236235235235235234235234233233234234234236238242244245248251251251252252252252251252251250250248247244243243242241242242241240239239239238238239238239240241243243243243243242242242243243244246248248247247248248249251252252252254255255255254254255254254254255254254253252252251 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999246247248245244242241241240240239239240240240240239240240239238235236237238238239239239239241243243244244244244244244244245244244243243243242241241241240238237236237237236235233232230229231233235236999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999242243246247247246245244244243243242243243243243244244245245246246246247248249249250250250251251250249248248247246247247247247248248249249249249249248999999999999999999999999252252252252252252251999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999237237999999999999999234234234236240244248252255257258258258258258258257257257256255254254254253253253253253252252253253253253252252252251251251251250249249250250250249249248247247247246246246246246247246246247247248248248248248250250250250250251250250250250250250250250250250249249249250251252252252252251251251250249247247246246245243243242242242242242243243243243243243243244244245245246245245245244244242243241241241242240240242242244243243242238237237236235234235235232231232231232232232234235236236237237237237238239239240240240238239240241241243243244244245244244244244243242242242241241242241240240239240241240239239239239239238238239239240241242242242242241241241241241242243242243244247248247246245245245246246245245245245246246245245245245245245245245245246247247246246247247249250250251250250251251251250250250250250249248247246246245244244244243243243243243244243244243243243243243243242242242241240239239239238238237238238237237236237236236236236237238239242246248250252252251252252253253253252252251251250249247246244243242242242242241240240239239239238238238239241242243243243243242241242243244245246248247247247248248249250252252252253255256255255254254255255255255255254254253253252251 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999247248247248248247246244242241240240240240240240240241241241240239239238237237238238239240240240242243244244245244245245245245245245245244243243243243242242242240239238236236236235234232230231230232234237237244999999999999999999999999999999999999999999999999999999999999999999999999999999999999999244245245247247246245245245245244243244243243243244244245246246246247248248250250250251250250250250249248999999999246246246246246248248999999999999999999999999999999999999999251999253254252999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999237236235999999999999234235237239243248250255257259259259258258258258258258257256255255254254255254255253253253253254253254254253253252252252252251251251250251250250250249248248247247246245245245245245245246246246247247247248247249250249250250250250250250250249249250250250251250250250251251252252252252251250250249249249248246246246244244243243242243242242243243243243243243244244245245245246245245244244244244244243241241242242241241242244243242241237237237237237236236235233232233233233233233234236236237237238237237238238240241241239240241242242243244245245244244244244244243242242242242241241241240240241240240240239239239239239239238238239239239240241242242242242242241242242242242243243244247249247247245245245245245245245246246246246246245245245245245245245245246247246246247248248250250250251251251251251251251250249249249250250248247246245245245244244244244244244245245245245245245245244244244244243243242241241240240240240240240240240239240240240240240240241243248250251252252253252253253253253252252252252252251250249247245244243243243243243241240240239239239239238240241242243244243243242242243244245246247247246247247247248249251252253252254256256255255255254255255255255255254254254253253252 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999248249249249248247247245244242241240240240240240240241241241241240239237237238238238239240241242244244244245245245245245245246246246245245245244243243243243242240240239238236235234233231231232233235237243242999999999999999999999999999999999999999999999999999999999999999999999999999999999999999239243246247248248247245246246246245245245244244245245245245246246247247247248249250250250250249249999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999232233234999999999999235235236241245249254257259260260259260259259258258258258257256255254254254254254254253253253253254254254254254253253252252252252251251251251251250249248247248248247246246245245245245244245245246246247247247247248249249249250250250250250250250250250251250251251252251251251252252252252251250250248249248248247246245245245244244243244243243244243244243243243243244245245245245245245245245245245244245244245243243243243244245245244241238238237238238237236235234234234233234234235236237237238238239238238239239242242241241241242243244245245246245245245245244243242242242240241240240240240240241240240240239239239239239239239239239239240240241241242242242242242242243242242243244245248249248247246245245245245246246246246246246246246245246245245245245246246247248247248249249250251251251251252252252251251251250249250250250251249247247246245247246245246246245246246246246246246245245245245245244244243243242242241241241241242241241241242242242241241242245249251252252252253253254254254253253253252252252252251251251249247245244243243243243242241240240240240239239240241242243243243242242244244245246247246246246247247248249251253253253254256257257256255255255255255255255254254254253253253252 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999249249249249249249248248247245243241240240240240240240241240241241241240238237238239239240241243244244244244245245245245245245246247246246246246245244244244243242240238238238237236233231230232233236239241247999999999999999999999999999999999999999999999999999999999999999999999999999999999999999239240248250251251249248247247245246246245245246246247247247247247248247248248248249250251251251250249999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999230233999999999999999237237242247250255258260261260260260260259259258259259258256255255255255254254253254254254254254255254254254254254254253253253253252252253252251251249248248248248248247246245245246244244245245245245246247247248248249249249249249249250250250250250251251251251252252252252253253253252252251250248248249248248246246246244244244244244244244244244244244245245245244244245246245245245245245245245245245245245245244243244244244243244241239237237238238237238236236235234234235235235236237237238239239240240240241243243241242242242243244245245246246245245245244244243241242241241241240240240239240240240240239240240240239240240239239239239240240241241241241242242242242242242243244244246249250249248247246246246246246247246246246246246246245245246246246246246246247247248248250250250250251251252252253253252252251250249250251249251250249248247247246246246247246246246246246247247247247247246246246246245244243243242243243243243242242242243243243243242243246250251252253253253254254254254254254253253253252253252252252251250248246245244243243243242241241240240239240240241241242242243242243244245246247247246246246247248248249250253253254253255256258257256255255255255255255255254254254254254253253 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999247248249250250249250249247246245243242241240241240240240241241241242242240239239239239240241244245244244244244245245246245246246246246246247247246246245245245244242241239239238237235232230231232234237239240253999999999999999999999999999999999999999999999999999999999999999999999999999999999999239241245247249251252250249249248247247247247247247247247248248248249248249248249249250251251251250999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999245244242240999999232999999999999999240244248251254258260261261261261261260259259259259257256256255254254254255254254254254254255255255256255255255255255255254253253253253253252252251251250249248248248247246246246245245245245245245246246247247248249249249249250249250250250251250251251251251252252252251252253252253251251250248248248250248248247246244245245244244244244244245245245245245246246247246246246247246246246246245245246245246246244245243244244244244244240239239238238238237237237237237237235235235236236238238239239240240241243244244244243243243243244245245246246246246245245244243242241241241240240240240239240241240241241241241240240240240240240240240240240241241242242242242242242243243243244245246248250251250248248248248248247246247246246247246246246246246245246246246247248249249249248249250251251251252252253254253253252252251250251251250251251251249248247247247247247246246247246246247247248248248247247247247246245244244244244244244244244244244244244244244244247250251252253254254254254254255255254254254253253253252252252252252251249247246246245245244244243242241241239241241241241242242243243243245245246247246246247247248249250250252253254254254255257258258256256256256256255255255255254254254254254253 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999247248249249250250249249248247247245243241241240241240240241241242242242242240240239240240242245245244244244244245245246245246246246246246247246247247247246246245243241240240238237235233231231232233236241243247999999999999999999999999999999999999999999999999999999999999999999999999999999999999242244251251252252253251251250248249249249248248248248249249249248248248249249250250250251250250999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999247247247245999240999999999999999246247250252257259261262262262261261260260260260259259257256256255255254254255254255255254255255256256256256256255255255255254253253253254253253252252251251250249249249248247247246245246246246246247247247247248249248249249249250250250250250250250250251251251252253252252252253253252251251249248249249250249247247246246246245245245245245246246247247248248248248248248248249249249249249248248248247246246246245245245247244243242241240240239239238238238238238236235238235237236236237238238238239240240241243244243243244244244244245245246246247246246245245244243241241241241241241240240240241241242242243242241241240241242242242242242243243244243243244244244244244245245245246247248250251251250249249248248248247247247247247247246246246246246246246247247247248249249249250250251251252253253253253253253253252251251251251251251251252251251249248249247248247246246246247247248248248248248248248247247246246245245245245244245245245245245245244245245248249250251253254254254255255255254255254254254254254254253253253253253252251249248247246246246245244243242241241241242242242242243243243244244245245246246247247248249250251252253254254254254255257258258258257256256256256255255255255254254254254253 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999247248248248248249250250250249249248247246244242241241241241241241241241243243243242241240240240242244244243243243243244244245245245245245246246247247247247247247246246245243242241239237235233230231231234237243248249999999999999999999999999999999999999999999999999999999999999999243240239240240241242249251256255254254252251251250249249249248248249248249249249249249249249249250250251251250250999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999254999999999999999999999999999999999999999999999999999254253250999999248250250251251250246246999999246248250252255258261262262263262262262260261260260260260258257256256255256255255256255255255255255256256257257256256256256255255255254253253254254253253252252252252251250249249249248247247247247247247249247247248248249249249249249250250249250250251251251251251251251252252253253253252251251251250249251250250248248247247245245246246246246247247247248249249249249250251250251251251251251250250250249248248247247248246245245244243242240240240240239239238238238238238237239237238238238238238239239239241240243244243244244245245245246246246246247247247246246245244242241241241241241241241241241242243243244244243243244244245245246246246245246246246247247247247247246246247247248248249250251252252251250250249249248248247247248247247246246247247247247247247248248249249249250250251252252253253253253253253254253253252252252251251251252252252251250249250248248247247247247248248248248248248249248248248247247246246246245246246247247246246247246246247249250250251253254255255256256256256256255255255254255254254254254254254253253252250249248247247247246246245244243242242242242242242243243243244244245245246246247248249250250252252253254254254254256258259259259259258258257256256256256256255255255255254 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999246248248248249249250250250250249248247246245244243243243243242241241241242243242242242241240240240242243242241242242243244245246246245245245246245246247247247247247246245243242241239236234233230231231234237239244248999999999999999999999999999999999999999999999245243999999999242242245238239242246250255254256255254254252252251250250249249250250249250250250249249250249249250252251250250999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999244999999999999999999999999999999999999999999999999999255256256999999999999255256257256255251999999247250252254257259262262263263263263263261261261261260260259258257257257256256256255256255255255256256256257257258257257256257256255256255254254255254253253253253253253252252251250249249249249249249248248248248248248249249249249249249250250250251251251251252252251252252253253253254253252251251251252249251250249249247248246246246247248248247247248248249249250250250251251251251252251251252252251250249249249248248247246246245244243241241240241240239238238239239238239239239239238239238239239240240240241242243243244245245246245246246246246246247247247246246245244242241241241241242242242242242244245245245245245246247247248248248249249249250249249249249249249249249249249249250250251252252253252252250250250249248248247248248248248247247247247247247247248249250250250251252252252253252253253254254254254254253254253252251251251251252253252251250249250248248248248248248249249249249249249249248249248248247248248247247247248248248249248248248249250251251252254254255255256256256256256256256255255255255255255255254254254254253253252251250249248248247247246246245244243243243243243243243244244244245245246247248249250251252252253255255255255255256259259259260259259259258258258258257256256256256255255 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999246247247249249250250250250250249248248247247245245244243243243242242241242242242242242241241241240240242242242242243243243244246247246245246246246246247247247246246245244242242240239235233232231231230232234240240226235261999999999999999999999999999249999249999245243244244243241999999239243246249251255258258256255254253251247249249249249250251252251251250249250251250250252252251249999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999243245248253999999999999999999999999999999999999999256256257257257999999999256259260258258258256253252252254256258261262264264264263264263263261262262260260259258258257258257257256256256256256256256256256257258258259258258258257257257256256255256256255254254254254254254254253252251251250250250250250249249249249249249250250250249250250250251251252253253252252252252252252254254254253253252252250250251251251249250251246247246247248248249249249249249250250251251252252252252253252252252252251252251251249250249248247247246246244244243241241240241241240239240239238239239239239240239239240239241242241242242241243243244245245246246246246247246247248247247246246245244242241241242242243243242243244245246247247247248248249250250251251252252252252252251251252251250250250250250252253253253254253253253252251250250249248249249249249248248249248248249249249249250250251252251252252253254254255254255255255254254255254254253251252252251252253252252252250251250249248249249249249249249249249249249249249249249248248249250250251252253252251251252251251251252253253253254255256257257257257256256257256256256255256256256256255255255255255254254253251250249249249248247247246246245245245245245245245245245245246247248249250251252253253253255256256256256255257259259260260260260260260260260259259258258257256256255 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999250247249250249250250250249249249249248247248247246245245245244244243242241242242242241241241241241241241242242243242243244245246248247247246246247247246246246245245244243242241240238235230230232231230233235240234242253999999999999999999999242245245245999243242242999244244242239238238241245248250255255257256256254255253249248250249250251251252253252251250249250251251250250246246999999999999999999999999999999999999999999999999999999999999999999999999999251252253254999999999999999999999999999999999999999999999999999999243244999250249251254258999999262999999999999999999256257258258258999999256258262263999259260259259258257258259262263264265265264265264263262262262261260260259259258258258258257257256256257256256256257257257259260260259259259258258257257256257257257256256255256256255255255254253252252252253250251252250250250250250251250251250250251251251251251251252253253253253254253253254255255252253252252250250250251250250249248247248247248249249249250250250251251252251252252252252252253253253253253252252251250250250249248248248248250249244243241241241241241241240240239239241240239239240240240241241241241242241241242243244244244245246246247247248247247248247247246246245244242241241242242244243244245246247247248248249249249250251252252253253253253253253253253253252252252251251252253254255254253253253252252252251250249249249249249249249249250249250251251251252252253253254254254255255255256256256256256256255255255255254253252252252252252252253253252250250250249250250250250250250250249249249249249249249249249250251252253253254254254254254254254254254254254255255256256256256257257257257257257257256256256256256256256256256255255255255254254253252251251250249248248248247247247247247247246246246246247247248250251252252253253254255256257257257256256257259260260260260260260260260260261261260260260259258257 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999251249250250249248248248248248248248248247247246246245245244243242243242242242241240241241241242241241242243244246246246247248248247246247247246246245244244244243242241239238236230232232231229232237238237240244244999999999999999242244999999244242999242242242242243241241240241244248250252257255258999256256256254253252253252252252252253253252251249250251251250249999999999999999999999999999999999999999999999999999999999999999999999999999999251250250251253252249999999999255255270999999999999999999999999999999999242243245246247999999999999999258999999999999999256257257258258258999258259262265265264263262261261260260261262264265265265265265265264263263263262261261260260260259259259259258257257257257258257257257258259260260260260260260259258258257258257258257257257257257257257256255255254254253253252252253253252252252252252251252252252252251252252251251252252252252254253253253253253253253253253252251250249249251251250248249248248248248249249249250250251252252252252252252252252252253252253254252253252251251251251250248249251252250246244243241241241240241240240240240240240239240240240240240240240240241242242242242243243243244244245246246247247247247248247247246246246243242242242243243244245245245247247247248249249250251252252253254253254254254254254254254254253253253254254255255255254253254254254253252252251251250250250250250250250250251250251252252253252253254254255255256256257256256257257257257257256256255255255254253253253253253253254253253251250251251250250250250250250250249249249249249249250250250251251253254254254255256255256256257256256257256257256256256256257257257257257257257257257256257257256256256256256256256255255255255255254252252251251250249249249248248248248248247247248248250250250251252252253254255256257257258258257257257259259260260261261260260260261261261261261261261261261260 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999250250251250248248248248249249249249249249249249248246245244244244243242242242241242242242242241243244245246247247247248248248247247247246246246245244244243243242240239239238233232230230229231232237238243999238999999999999242241999999242242243242241241242241244242241242244247250250254259258999999257257256256256254254255253253252252251252250250250249249249999999999999999999999999999999999999999999999999999999999999999999999999999250250251250250249250248248999248247250250257999999999999999999999999999999999999242244246250253259261262263263262262262262260258258258258259261263262264265265264264264263263262262263264265265265265265265265265264263263263262261261261261261260260260260259259258258258258258258258259260260261260260260260259258258257258258258258258257257257257257257256256256254254254254254253253253253253253253253253253253253253253253253253253253253253253253253255253253253252253252251251251249249251250250249249248248248249250250250251251252252252252252252252253253253253253253253253252252253252252252251254253253252249245244242242241240240241241240241239240239239239239240239239239239240240241241242242242242242243244244246247247247247247248247247247246245244243243243244244244244246247248248249249251251252252253253254254255254254254255254254255254255255255255256256255254254254253254254253253253252252250250251250250251251252252252252252253254254254255255256256256257257257257257258258257257257256256255255255254254253254254254254254252252252251251251251250250250249249249249249248249250250250251251252254254255256257257257258257257257257257257256256256257257258258257257258258258258258258257257257256256257256256256256256255255255255254253253252252251251251251250250250250250251251251251251252253253254255256256257258258258258258257257259260260260260261261261261261261261261261261262261261261 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999251249248247248249249250250250251252252251251250248247246245243243243242242242243244244243245246247247248248248248248248247246246246246246245245245244244242240239238238235232231230229229231999999999241999999246242241241240242243999242242241242242242243244244244245247250252254258260261999257258259258257256255255254253253253252252250248248249247245999999999999999999999999999999999999999999999999999999999999264257255255999251251250249251250249248247999245246246247248999999999999999999999999999999999999999999999249257261264265266266266265266266266266265263263263263264265266266267266264264264263264264265265266266265265265266266265264263263262262262261261261262262261261262261261260259259259259259259260260261261261260260260260259259258257258258259258258258258258258258258258257256256255255254255255254254254254254254254254254254254254254254254253254254253253253253253253253253252252253254252251250249250252250251248248248249249250250249250251252252252252252253252252253253252253253253253253251251253253252253250253255252252247248244243242242241241241241242241240240239239238239238239239239239239239240240240240240241243243244245246247247248248248248248248246246245245244244244245245245247248249250250250251252253253254255255255255256256255255255255255255255255256256256256256255254254254253253254253253253252252251251251251251252252252252252253253254255255255255256256256257256258258257257258258258258258257256256255255255254254254255254254253252252252251251250250250250250249249249249249250251251251252253254255255256257258258259259259258258258258257257257257257257257257258258258258258258258258258258257257257256257257256256256256256255256255255256255255254253253253253252252252252252252253253253254254255255256257257258258259258258259258257258259260260261261261262262262262262262262262262262261262262 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999249249250250251252253254253253253252250249247244243242242242242243245245245246247247248248248248249249248247246246246245245245245245244243242241240238236235232231231230229232234237238240241243242241240242242243243243242243243243243244245245245246248251252254258259261259259260260260260258257256256254254254253253251249999999999999999999999999999999999999999999999999999999999999999999999257259259258256254999999999999999250249247246999999242242999999999999999999999999999999999999999999999999999254256261264265266266266266266266267267267267267266266266266267267267266265264265265266266266266266267265266266266266266264264264263262262262262262262263263262262261262262262260260260260260261261261261261261260260260260259259258258259259259259258258258258258258258258257257256255255255254255255254254254254255254254255255255254254254254253254254254253253253253252253253252252252252252251250250253252251251248249249249250250250250252252253252252253253253253252253252252253253253252252252252253254253253253252252252250248248245244243242241241241241242242241240239239239239238238238238238238238238238239240241242242243244245247247247248249249248248248247247246246245245245246246247248249250250251251253254254255256255255256256257256256256256256256256256256256257257257256255254254253253254254253253252252252251251251251251252252252253253254254255256255256256257257257258259258258258258258258258258258257257256256255255256256255255255255253253252251251251250250251250250250251251252252253254254254254255256257257258260259259260260260259259259258258258257257257257257257258258258258258259258258258258257257257257257257257256256256256256256256256256256256255255255255255255254255255255255255256256256257257257257258258259259259259259259258258258259260260260261262262262262262263263263263263262262262262 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999249250250251252253254255255254254254252251248246244242242241242243245246246246247248248248248248249249248246245246245245244245245245244243242242241239239236234234234232232235235236237239240240239239240242242242242242243243244244244245247247249250252253254257260262263999262262262260259259258256254254255255254254253251999999999999999999999999999999999999999999256255255999999255253999253258260261259256999999999999999999999249247244999999242244246999999999999999999999999999999999999999257256254258262264265266266267267267267267267267268268268267267268268268268267266266266266266267267267266267266266266266266265265264263263263263263263263263263264264263263263263263263262261260261261261261261261261261261260260260259259258259259259259259259259259259258258258258258257257256255255255255255255255254254254254254254254255255255255254254254254254253253253253253252253252253252252252251251253253252251249249250250250251251251252253252254252253253253253253252253252252252253253253252253253252253253253253252251251251249249246245244242242242243242242242242242240239239239239239239239239238238239240241242243243243243245246247248248248249248249248247247247246247245245245246246247248249250251252253254254255256256257257257256257257258257256256256257256256257258258257256255254254253253254254253253253252252251251251251252252253253254254255255256257257258258258259259259260260259259258258258259259258258257257256256256256256256256256257256254253255252253252251251251251251252253253253254255256256256256257258258259259259260260260260260259259258258258258257257257257257258259258258258259258258258258258257257258258257257257256256256256256256257256257257257257257256257256256256256256256257257257257258258258258258259259259259259259259258258259259260261261261262262263262263263263263263263263263263263 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999250251252253254254255255256255255255253251250248246243242242242243244246246247247248248248248249249249248247246245245245245245245245244243242241242242241240237237239239239239239239239238238239241241242243243242242242242243243244245248248250252254256257258259261263262999263263262261260261259256254254254254253253252251999999999999999999999999999999999999999256256999256999253253254258258260260261259260999999999999999999999999999245244246245246248999999999999999999999999999999999258259260260261263265265266266267267267267267267267268268268268267268268268268268267266267267266266266266266267267267267267266266266265264263264263263263263264264264264264264264263263263263263263261261261261261262262262261260261260259259258258259259259259259259259259259258258258258258257257257256256256256256256257256256256255256255255255255255254253254254254254254254253254254253253253252252252252251251254254252252250249250250250251251251251252253253252253253253252252252252252252252253253253253253253252253253253253252251250250250250249246246245244243243243243243243242242240240240240240240240241241241242244243243244244245246246247248248249249249249249249248247246246246245246247247246248249250251252253254255256257257257257258257258257258258258258257257257256257257258258257256255254254254253254254253252252252252251251251251252253253253254255256256256257258258258259260259259259259259259258258258258257258258258257256256256256256256256257257257256254253253254255254253253252253253253253254254255255256256257258258258259260260260261260260260259259258258258258257257257257257258258259259259259259259259258258258258258258258257257257257257256257257256257257257257257257257258257257257257257257257258258258258258258258259259259259259259259259259258259259260261261261262263263263263263263263263263263263263263 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999251253254254255256256256256256255255253251250247244242242243243243245245245245247248248248249249249249247247246245245245245245244244244243242243243242242241241244244246245245244242241240240241242243243243242242243243243244246248251255257258259260261261263264263264262264264265262261259257254253254253254253252251250999999999999999999999999999999999999999256255253251252251251999999261261261261261999999999999999999999999999999247247248248249251999999999999999999999999999999999262263264264265266266266266266267268268268268267267267268268268268268268268268267267267267267266266267266267267267267267267266266265264264264264264264263264264264265265265264264264264264264264264263263262262262262263262262261261260259259259258258259259259259259259259259258258258257258258257257257257257256256257257257257257257257256256256256256256255255254255256256255255255255254253253253252252251252251252254253252251251250250251250251251251252253253253253253253253252252252252252252252252253252253252252253253253253252251250250250249250249247247247246245245243243243242242242241242243243242242242244243244244245244245245246247247248248248250250250249249249248247247247246246246247247248248250251252253254255256257257258258258258259258258258258258258258257257257256257257258258257256255255254254254254253252253252252251251251251252253253254255255256256258258259259259259259260260260259258258258259258258258258258257257258258257257257257256257257258257254254255255255253254254252253252252252252253253254255256257258258259259260260260261261261260260259260259259258258258258257258258259259259259259259259259259258258258258258258258257257258257257257257257257257257258258258258258258258258258258258258258258259258259258259259259258258259259259259259259259259261261261262263263263263263263263263263263263263263264 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999254254255255256257258257257257256256254252251249246242242242243243244243245245247247248248248249249248248247247246246245245244244245244244244243244244243243244246248248247247245241242243241242243243245247246246246247246246250255258259260262261264263266266265265264264263264262259259259257253253253252252252251999251254251251999249249251252252252999999999256254251249248249999999999263999999999999999999999999999999999999999999999249251253252999999999999999999999999999999999262264265265265266266266266266267267267267267267267267267268268268268268268268267267267267267267267266267266267267267267267266266265265264264264264264264264264264265265265265265265264265265265265264264264263263263262263262262262261260259259260258259259259259259259259258259259258259258258257257257257257257257258258258257257257257258258258258257256256256256256256257256257257255255255254254253253252252252251252253254253252250250250251251251251251252253253253253253252252252252252251251251252253253252253252252252253253252252252250250251250249250250249249248247245245244243244244245245246246246246246244243245245245245246246247248247248248249250251251250250249248248247247247246247248248249249250251252253255255256256257259258258258259259259259258258258258258257257257256256257258258257256256255255254255254253253252252252251251250252253253254255255256257258259259260260259260259260259260259258258257257257257257257257257258258258258258257256256257257258258257257257256256255255253253254253253253253253253253255255257258258260260260261261261261261261261261260260259259259258258258258258259258259259259259260260259259258258258258258258258258258258257257257257257258258258258258258259258258258258258258259259259259258258259259258259259259259259259259259259259260261261261262262263263263263264263263263263263263264264 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999256256256257257258258257257257256255253251249247243242242243243244244245247246247247247248247247248247247247246246246245245244245245246245245245245245245246248250250248246245243243243242243245246246248249250250250250252255258260263263264264264262265265265264264264263261258256999256255254252251252252999999999999999252251250250250251252252253250250250248249247247246999999999999999999999999999999999999999999999999999999999999252255256257257999999999999999999999999999263264265266266266266266265265265265265265265266266267267268268268268268268268268267267267266266267267267266267267267267267267267266265265264264264264264264264264265265265266265265265265265265266266266265265264263263262262262262262261260259260259259258258259259258259259259259259259259259258258257257257257258258259258258258258258258258258258258258258257258257257256256258258257255255254255254254254253252252253254255254253252250250251250250251251251252252253253253252253253252252252251252252252253253253253252251252253253253253253252252251251251250252250250249248247247246246246244245246245245245245245245245245245245246247247247248249249250250251251251251250249248248248248247246248248249249250251252252254255255256257258258259259259259259259259259258258258259257257257257256257258259259257256256255255255254253252252252251251250251251253255255255256257258259259259260260260259259259260260259258257256256257257258257258257258258258257258258257257257256258258257258258258258257256257256254254253254254254254254254254256258259259260260260261261261261261262261261260260260260259259258258258258259259259260260260260259259259259258259258258258258258258258258258258258258258259259259259259259259259259259259259259259259259259259259259259259259259259259259259259260260261261262262263263263263264263263263264264264264264265 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999256257257258258257257257257257256254252250248244241241244245246245246247247247248247247246247246247248246246246246246245245245246247246246245245245246246250251251248246246243244244244245246248249251253252252253256259260262262264264265264262263264264264264263261259257256255999252253252253248249249999999999999999999253252252253252252251251248249248247246247247248999999999999999999999999999999999999999999999999999999999256257257259260260260262999999999999999999262265266267267267266266265265264264264264265265265266267268268269269268268268268267267267267267267267267267267267267267268267267267266265264264265264265264264264265265265265266266266266266266266266267267266266265264264262262262262262261260260259259259260259258259259259259259259259259259258258258258258258258259259258259259258259259259259259259259258258259259259258257257257257256257255255255254255254254253252252252255254254253251249250250250251251252253253253253253253253253252252252252251252252252252252252252252252253253254253253254253254252252251250250250249249249248248246246245246246245245245245245245245245246246247247247248249250251251252252252251250250249248248248247247247248249250250250251252253254255256256257258258259259259259259259259258258257258258258257257257256256258259259257257256256255255253253253252252251251251251252254255256256257257258259260260260259260259259260259259259258257256256257256256256257257257257257257257257258257257257257257257258259258259258257257257257255254254255255255255254255255258258259260260261261262261262262262263261261261260260259259259259258258259259260260261261260260259259259259259259259259259259258258258259259258258259259259259259260259259260260260259260259260259260260260260260259259259260259260260260260260260261261262262263263263263263263263264264264264265265265 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999256256257257258257257257257257256254252250247244242243245246247247247247247247248247247245246247247248248247246246246246246247248247247246246246246247249251253253250247246245245245245246248250252254256257258259260262263265266267266265264263264264264264263261258256256255254253252252253252250252999999999999999999999254254253254999999250249248247246246246245249999999999999999999999999999999999999999999999999999999258259260261260261262262262262999999999999999999264266267267267267267266265264264264264264264265266267267268268269269269268268268268267268269268268268267268268268267268268268267266265265265265265265265265264265265266265266266266267267267267267267267267267266265265264263263263263262262261261260259259260259259259259258259259259259259258259258259259259259259259259259259260259260259259260259260259259259258259259260259258257258256256256256257257254254254254253253253254256255254252250250250251251251252252253253253253253253253252252252252252252252252252252252252253253252252253254254254253253252252251251251249249249249249250249250249249249248248248247246246245246247247248249249250251251252252252252251251250250249249249249248247247249250250251251252253255255256256257257258258259259259259259260259258257257258258258257257257257257257259259259258257256255254254254253252252251251251252253254256257257257259259259261260260260260260260259258259257257257257256257255255256256257257257257258258258258258258257258258257257258258258258257257258258257256254255256256255255255255258259259260260260262262262262262262262262262261261261260259259259258258260260260261261261261260260260259259259259259259259259259259259259259259259259259260260260260260260260259260260260260260260260260260260260259259260260260260261260261260261261262262263263263263263263263264264264265265265265266 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999260257257257257258257258258258257255253250248244242244245246248247247248248247248248247246248247247247248248247247247247248248248246247246247247248248250251254254252249246245246246999999247250256259260261262264265265266267267267266265264264263264263263261260257255254254253253251251254999999999999999999999999999999999999999999999999999246245244246244244999999999999999999999999999999999999999999999999999999999259260261262262262263264264263262999999999999999264266267267267267267266265265264264264264264265265266267267268269269269269269269269268268268268268268268269269269268267268268268267266266266265265265265265265265265265266265266266266267267268267267267267267267266265265264264264263263263262262262261259258259259259259258258259259259259259259259259259259259259259259259259259259259259259259260260260260260260259259259260261260259259259258256257258257258255256255254254254253256256254252251251251251252252252252253253253254254253253253252252252252252253252251253253252253253253253253255254254254253253252252251251250251251251250250250250251250250250249249249248249249249249250250251251251252252252252252252252252251250250249249249248247247249250250251252252254255256256256257257258259259259259259259259259258258258257257258257258258257257258259259259258257256255254254253253252252251251252252253254256256256257259259259260260260260260260259259258258258257257257256256256256256256257257257257257257258258258258259259258258258258257258258260259257258258258256256256256255255255256257259259260260261262261262262262262261262262261261261260259259259260260260261261261261261261261260260260259259259259259260260260260260260260260260260260260260260259260260260260260260260260260260260260261261260260260260260260260261261261261261261262262263263263263263264264264264264265265265266267 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999257259258257257257258257257256255252250248244244245245247248248248249249248248248248248248248247248249248248247247249250249248248248248248248249250250251254255254251248999999999999999999256258261263262264266267267268268268268266265263262262263262260259257256255253252252251250999999999999999999999999999999999999999999999999999999247245243242243246247999999999999999999999999999999999266266267266265999999999261261262263263264265265265265265264263263263264266267267267267266266265265264264264264264264265265265266267268269269270270270269269269268268269268269268269269269269268268268268267267267266266265266266265265265265265266265266266267267268268268268268268268268267266265265264264263263262263263262261260259259260260259258258259259259259259259259259259259259260259260260260260260261260260260260261261260260260260259259260261261261261260258258259258257259256256256255255255255255254254255253252252252251252252252252253253253253253253253253253253252252252252252252252254254253253254255255255255255254253253252251251251252252252252251252252251251251251251250249250251251251251251252252252252252252252253253253252252251251250250249249248247248249250250251252253254255256256257257257259259259259259259259259259258258257258258258258258258257257258258259259258258257256255254253252252252252251252253253255256257258257259260260261260259260260260259259259259258257256256255255256256256256257257257257257257258258258259259259259258258259259259259259259258258258258258257256256256255255257257259260260260261262262262262261261261261261261261261261260260259260261261261261261261262262261261261260260260260260260260260260260260260260260260260260260260260260260260260260260260260260260260261261261261261261261261261261260261261261261261261262263263263263263264264264264265265265265266266267 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999260259257257257257257257257256255252251247247246248248249249249249249249248250249249249249249249250250249249247247249251249249249250249249249250251251253255256254252999999999999999999999258261262265266267268268268269268268267265265263263262262262261260256256255251253999999999999999999999999999999999999999999999999999999999999250247245240239243244245999999999999999999999999999268268269267267267267265999263263263264264265266266265266266266265265265265266267267267267266266266265265265265264264264265265265265266268269270270270270270269269268268269268268269269269269269268269268269269268268268267267266266266266265265265266266266266266267267268268269269268268268267267266265265264264263263263263263262262261260259260259260259259259259259259259259259259260260260260261261261262261262262262262262261261261261260260260260260259260260261261260260260259260260259259257256256256257256256255254254252252253252252252253252252253253253253253253254253253253252252252252253252253253253254254255256256255256255254253252252252251252252252253253252252251251252252252252252251251252252252252252252252252252253253253252253253253252251251250250249249249249248249251251251252253255256256256257258258259259259259259259259259258258257258258258259259259258258257258258259259259258257256255255254253252252251251252253254255256257259258259260259260260260260260260259258258258257256256256255256255256256256257257257257257258258259259259259259259259259259260259259259260259259259259260258257257256256256256258259260260260261261261262262261261261261261261261261261261260260260261261261261262261262263262262261261260260260260260260260260260260260260260260260260261260260260260260260260260260260260261261261260260261261261261261261261261261261261262262262262263263263263264264264264264265265266266266267268 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999264258259258257256257257257257254252251249249249249250250251251251250249249250250250250250250250250250249249248248249251251250250250250249250250250251253255257256255999999999999257257259260262264267268268269266269269269268266265264264263262261261260255255256255255256999999999999999999999999999999999999999999999999999999999999999999246237239242245245248249999999999999999999999270270270269268268267266265264265265265265266266266266266266266266265266267267267267267266266266265265265265265265265265265265265265266268269270270271271271270269268268268269269269269269270269268269269269269268269268268268268268267266266265265266266266266266267267268268269269269269268267267266265265264264263264263263263263262263261259261261260259260260260259259260259259260260260260261261262262262262262263263263262262262261261261261261261261259259260260261261261261261261260260260258258258258258258257256255254254254253253253252252253252253253253253253253253254253253253252253253253253254254254254255256256256256256256255253252253252252252252253253253253253252252253252252253252253253253252253253253253253253254254254253253253253253252251251251251250250249249249250252252253253254254255256257257257258258259258259259259259258257257258258257258259259259258258258258259259259260259258257255255254253253252252252253253255255256257257259259259259259260260259259258258258257257256256255255256256256256256256257257257257258258258259259259260260259260260260260260260261260261260260260260260260259258257256256257259259260260261261261261260260261261261261261260260261261261261261261262261261261261262262263262262261261261261261261261261261261261261261261261260261261261261260261261261261261261261261261261261261261261261262262262261261261261261262262262262263263263263264264264265265265265266266266267267268 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999259259258257256257257257256255253251250249250252253253253252252251250250250251251251250250250250250250250249248250251251251250249249249249249249251252255258258257256257257259259260260262265266268269270270269269269269268266266265264263262260259259256257258257258259260999999999999999272270999999999999999999999999999999999999999999999240241247250251254999999999999999999999268270270270269269269267266266266266266265266266267267266266266266266266267267267267266266266266265265265265265265265265265265265265266266267268270271271271271270269268268269269269269269269269268268268269269268268269269269269269268267266265265265266266267267267267268268269269269269269268267266265265265264264264264263263263263262262262260262262260262259260260260259259260259260260260261261262262262262262263263263263263263262261262262261261261261260260259260261262262262261262261261261261260259259259259258257255254255254254255255252253253252253253253253253253253253252253253253254253253253254254255255256256256256256257257254254253252252253253253253253253252253252253253253253253253253254253254253254254254254254255255254254254254254253252251252253251251251250250250250252252252253254254255256257257257258258258258258258258258257257257258258258259260260259259258258258259260260261260258257256256255254253253252253253253254255256257257257258259259259259259258257257257257257257256256256255256257257258257258257258258258258258258259260259259259259260260260260261261261262261261260261261261261260259259258257257259259260260260261261260260260261261261261261261262262261261262262262262261261261261262262263263263262262262261261262262262261261261261261261261262262261261261261262262262262262262262261261262262262262262262262262261262262262262262263262263263263263263263264264265265265265265266267267267268268 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999267261258258257258257257257256254253253253254253254254254252252252251252253253252251251250250250250250250250249250251252252251249249249249249249251252254258258258258259260260261261261264267268269270270271270269270270269267267267266265265262260259259257259259260260261269268999999999268267999999999999999999999999999999999999999999999246244251256256258999999999999999999267270270270270270270269269268267267267267266266267268267266266267267266266267267267267266266266265265265265265266266266266265265265265265266268270271272272272272271269268268268268269269269269269269269268269269269269268269269269269269267266266266266266266267267267268268269269269269269269268267266265265264263263263264263263263263263263262262262260260262260260260260260260259260260260261262262262263263263263263263263264263263264262262262262261261261261260259261261262262262262262262262262262261261260260259259257254254255254254255256256253253253252253253253253253253252253253253254253253255255255255255256256256257257256258257254254255254254254254254253253253253253253253253253252253254254254254254254255255255255255255255255254254254253253253253253253251251251251251251252252252253254254255256256257257257257258258258257257257257257257257258258259259260260260259259259259260261260261260259258257256255254253253252253253255254256256257257258257258258258258258257257257257257257257256256256256257257258258259258260259258259258258259258260259260260260261261261260261262262264262262261261261261261261260260259258257258259260260262260261260261259260260260261261262262262262262262263263262261261261262262263263263263263262262262262262263262262262262262262262262262262262261262262262262262262262262262262262262262262262262262262262262262263263263264263263263264264264264264264265265265265266266267267267268268269 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999263259258257259258258258257256255255255256255256256254253252252253254255254253252251250251251251250250251250250250251251249249249249249249250251252254257259259258259259260260261263265268269270270271271271271271270269269268268267265264263260257257262264264264264999999271999999999266265264999999999999999999999999999999999999999999251249257260260260263999999999999266269269270270270271270270270269269268268267267267266267267266266267267267267267267267267266266266266265266265265266267266266266266266265266266267269271272272273272271270269268269269269269269269269270269268268269269269269269269269269269267266266266266267267267267268268268269269269269270269267267266265265264264263263263263263263262263263263262261260260261260260260260260260260260261261261261262263263263263263263263263264263263263263263263263262261261261260261261261263262263263263263262262262262262261260259259258256256255255254254256256256256254254253253253254254253253253255254255255254255256256256255256256257257257258258257255255254255254254254254254254254253254254254253253253253254254254254255255255255255255255255255255255254254253254254254254253252252252252252251251252253253254255255256257256257257257257256256257256256256257257258258259259259260260260259260259259261261261262260260258257256256255254253253253253254255255256256256257257258258257257257257257257257257257257257257258259259260260260259259259259259258259259259259259260260260261261262263262262263263264263263262262262262262262262263262260260258259261261261261260260259260260261261262262263263263264263263263263262262262262262262263263263263263263263263263262263262263262263263263263263262262262262262262262262262262262262263263263263263263263263264263263264264264264264264264264264265265265264265265265265266266266267267268268268269269 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999272261257258259258258258257257257257257258257257257255254254255255256255255255254253252251252251251251251250250250251252251250251251250249250251253255258259260259259259260261263264266269270271272273273272272271271270269269269267265265263260262263265267268268268267999999999999999999999263265999999999999999999999999999999999999999999259261263265265266265999999999268269270270271271271270270270271270270269269268267268267268267266267267267268268267267267266266266266266266265266266266267266266266266266267267267269270272272272273272271270269269268268268269269270270269269268269269269269269269269269269267266267267267267267268267268268269269269270270270269268267266265264263263263263263263262263263262263263262261260260260260261260260260260261261261261261261262263263263263263264263264265264263263263263263262262261261261260260261262262262263264264264263263262262262261261260260259258257256255255253253255256256255255255255255254254253253255255255255256255256256256256256256257256257257259258257256256256255255254254255255254254254254254254254254254254254254254254254255255255255256256255255255255255253254254254254255254253253252252253253253253254254255255256256257257257257257257257257256256256257257258258259259259260261260260260260260260262262262261261260259258257257256255254254253253254255254254256256256256257257257257257257257257258258259259259260261261261261262261261260260260261260259260261260260260260260261262263263263263264264264264264263262264263263263263263263263262260261261260261261261261260261261262263263264264264264264263264264263263263262262262262262263263263264264264264263263263263263264263263263263263263263263263263263263263263263263263264264264264264265265265265265265265265265265265265265265265265265265265265265266266267267267267267268268268269269 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999267257261259259259259259259259259258258259258258258257256255255256256255256256256256253252252252251251251250251250251251252252251252251250250252253255257258259260260259260262264266267270271272273273273273273273273272270270270269268265999263264265267267269271270268268999999261261999999265266999999999999999999999999999999999999999265265267267268267267268269269269269270271272272271271271272272272270270269270268268267267267267267267268268267268267267267267266266266266266266266266267267267266267267267266267268269271272273273274272272271270270269269268271271271271270269269269270270269269269269269268267266267268268268268268268268268269269270270270270269268266265265264264263263263263263263263262262262263262262261260260261260260260260260260261261261261262262262263263264264265264264264264263263263263263263262261262261262261261262263263265264264264264263263263263262261261260259259258257256255254254254255256256256255255256256256256255255257256256257256257257257256256257257256257257256256256256256256255255255255255255255255255255255255255255255255255255255255255255255255255256256255255255254254253255255254255254254254254253253253254253254254255255256256256257257257257257256257257257257257258259260259260260260261261260261260259260261263263263262261261260260258257256255254254254253253254253254254255256256256257257257257257258259260260260261262262263262263263262262262261261262261261261260261260260260260261261263263264264265264264264264265266264265265263264263264264263263263262261261261261262262261262263263264264264264265265264264264265265264263263263263263263263263264264264264264264264264264264264264263263263263263263263263264264264263264264264264264265265265265265266266265265265265265265266266266265265265265265266266266266267267267267268268268268268269269269 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999248260261260259260260261260260260260259259259259259259258256257257256257256256256256255254254252252251251251251251251251251252252252252251250253255255257258259259260260262263265266268271272273273274274274274274274273272272271271269269999999265267267268271273272269267263263259262999263263267999999999999999999999999999999999999266268268269269270270272271272271271271272273273273273274274274274274273272271272270270270268268268268267268268268267267267267267266266266266266266266266267267267267267267267267267268269271271273273274273272272271271270270270270270270271270270271271270269269270269269269268267266267268268268268268267268268268269269270270270269268267266266264264263263264263263263263263263262262262261261261261261261260260261261261261261261261261262262263263263264264264264264264263263263264263263263262262262262262262262263264265264264265264264263262262262260261260259259258257256255254255253254255255257257258257258260259258257258257258258258258258258258258257257257258257256257255255256256255256256256256257256255255255255255255254255255255255255255255255255256256255255255255255254254255255255255255256255255254255255254254254254254255255255256256257257257257256256257258257258259260260260260261261261261261261261260260261262263264263263262261260260259258257256255254253253253254254254254255255256256256256256258259260262261262262263264264264264265264264263263263263263262262261261261261261261261262262264264265264265265265265265266268266266265264264264264264265263263263263263263263263263263263264264264266265266266265265265265266265266265264264264263263263263264264264264264265264265265264264264264264264264264264264264264264264264264264265265265265265265266266266266266266266266266266266266266266266266266266266267267267267267268268268268268268269269269269 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999266261260260261261261261261260260261260260260260259259259258258258257257257257257257256255253252251252252252252252252252252253252252251252254256257257258259260260262264266267270272273273274275275275275275274274274273271272272270269269268268270272274274274270265264262259260261262268270999999999999999999999999999999999265268269269270271271272272272272273273273274274274275275276276276277276276275275273273272271269268268269267268268268267267267267267267267266267266266266266266267267268267267267267267267269270272273273274273272272272271271271271271271270271270270271271270270270269269269268268267267268268268268269269268268268269269269270270270269268268266265265264264263263263263263263264264263263262262262263262262261261261261262261261261261261262261262262263263263263263264263263264262263263263263262263263263263263263263265265265265265265264264264264262262261260260260260259258257255254255254254255258257258258258258259259259259259259259258259258258258258258257257257257257255256256256256256256256257257257258257257257257256255255255255255255255255255255255256256256256255255255254254254255256255255256256256256256257256257256256255255255256256256256257257257257257257258258259260260261261261262262262262262261262262262262263264264264264264263263261261260259258256255255254254253253253254254255256256256256257258260262262262263264265265265265265265265264264264263263263263263263262261262262262262262263263264265265265265265266268266267267266266266266265265265265265264264264263264264264264264264264265265266266267266265265266266266266267267267266265265265264264264264264264265265265265265264265264264264264265264264264264264265265265265265265265266265266266266266267267267267267267267267267267267266266266266266267267267267267267268268268268268268269269269269269 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999261261262262263263263262262261261261262262262262261260260260259259259259259258258257255254254253253252252252252253253253253252252253254255257258259260260260263266267269270272274274275275276276276276275275275273272272272272272272272272274275275275275272267263262999999999999268270999999999999999999999999999999999266268269270271271271271271272273273273274275276277277277278278279279278278278277276275274273272271269269269269268268267267268267268268267267267267267267267267267267267267268267267267267269270272273273273273273272272271271271271271271271270269269271269269269269269269269269267267267268268268268270269268268268269269270270270270269268267266265265264263263264264264264264264264263263263263263263263263263261261261262261261261261261262261262262262263263263263263263262263263263264263263264264264264264264264265266266266266266265264264263263263263261261260260260259258257257255255256255255256257257259258258259260259258259260259259259258259259258257257258257257257256256256257257257257258258259259260260260260259258256255255255256255256256255255256256256256256256255254253254254255256256256256257257258258258258258258258258257257257257258258258259259259259259260260260261261261262262262262262262263262263263263264264265264265264264264264263262261259259257256255254253254253254254255255255256257257259261261263263264265264266266266265266266265265265264264264264264264264263263263262262263263264264264264265266267267268267268270268267267266266265266266265265265264265265265265264264264265265265266267267267266266267267267268267268268267267267266266266265265265265265265265265265265265265265265265264264264264264265265265265265265265266266266266266266266266266267267267267267267267267267267267267267267267267267267268268268268269269269269269269269269269270 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999265261263264263263263262263263263263263263263262261261260261262261261260260259258257256256255254254254254252253253253253253253254255256257258259260260261263266269270271273273274275276276277277277276276276274273273274274274274275276276276277276275272270264262999999266267266999999999999999999999999999999999264266268270270271269269271271272273273274276277278279279280280280280279279279277278278277276275273272270269270269267268267267268268268267267267267267267267267267268268268268268268267267268269270271272273273274273272272272271271272272271271271271270269269269268269269269268268267267267267268268269270268268268269269269269270270270269268267268266265264264264264264264264264264264264264264264264263263263263263262261262262261262261262261262263262262262262262263262263263263264264264264264264264264264265265265266266268266267266266266265263263263262261261260260260259259258258257256257256257257258259260259259261260259259259260259259260259259258258257258258258258257257257257257258259259259260260261262262262262262261258256256256256256255256256256256256257256256256255255254254255255256256257257257258258258259259259259259259259259260259259259260261261261261261261261261262262262262263263263263263263263263264264265265265265265265265265264264263262261260258257255254253254255254255255256256258258259262261262264265265267266267267267267267266267266266265265265265264264264264264264264264263263264265265266266267268269270270269270270269268267266266266266266266265266266266266265265265265266266266268267267266266267267267268268268269269269268268268267267267267266266266265265265265265266266265265265265266265265264265265266266266266266266267266266267267267267267267267268268268268268267267267267267267267268267268268268268269269269269269269269269269269269270 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999264262263264264263264265264264264265265264264263262262262263262262261261260259259259258257256255255255255254254254254254254254255257258257258259260261261264268269271272273273275276276276277277277277277277276275274275274275276276277277277277277276273271267264999262261261262999999999999999999999999999999999265268268269270270268270271273273274275276278279280280281281281281280280280279278278279278277276274273271270270269268268268268268268268267267267268268268268268268268268268268268268268268268269270271272273274274274273273272272272272271271271271271271270269269268268268268267267268267268268269270270270268268268268269269269270270270269268268268266265265264264264265265265265265265265265264264264264264264264263263262262262262262262262262262262262263263262263263263263263264265265265266265265265265265265265265267266267267267267267266265265264263262261261261261260260259259259259258257258257259260259260260260260260259260260262260260260260260258259258258258258258257257257257258259260260261261262263263263263263263263262260258257257257256256256256256257257257256257256255255255256256256257257257258258258259259259260260261260260261261261260261261261262262262262262262262262262263263263264264264264264264264265265265265265265265266266266265265264263262261259258258257256255256255255256257257259260262263263264266266266267267268268268268268267267267267266266266265265264264264264264264264264265265266267268268269271272272271271271270270269268268267267267266267266266266266266266265266266266267267268268267266267268268269269269270270270270269269269268268267267267267267266266267266266266266266266266266266265265265265265266266266266266266267267267267268267267268268268268268268268268268268268268268268268268268268269269269269269270270270270269270270269270270 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999263264264264265264265264265265266265265265265264263263264264263263262262261261260259258257256256256256255254254254254254254256257258258259260260261261264268270272272273273275276276277278278278278278278277276276275276276276276277277277278278277274270267264262264262999999999999999999999999999999999999999266268267269270270271271274274275275277278279280281281281282282281281280280280279279279278278276275275273271271270269268268267268268268268268268268268268268268268268269268269268268268268268268269271272273274274275275273272272273273272271271271271271271270270269268268268267267268268269270270270271269268268268269269269269270270270269268268267266266265265265265265266265265266266266265265265265265265265264264264263262263262263263262263263263263263263263263263263264264265266266266266266266266266266266266267267267268268267267267266266265264264263262262262261261261261260260259258259260260261261260260261262263261261261261262263263262262261259259259258259258258258257257258259260261262262263263264264264264264264264263262261259258257257257257257257257257257257257257256256256257257257257257258259259260260261261261261262262262262262262262262262262263263263263263263263263263264264265265266265265265265265266266265265265265265265265266266266265264263262261259259258258257256257257258259260262262263265265266266267267268268268269269269269268268268267267266265265264264264263264265264264266266266267269269269271272273272272272272272271270269269269268268267267267267266266266266267267267267267268268268267267267268269269270270270270270270270270269269269269269268268268268268268268267267267267266267266266266266265265265266266266266267267267267267268268268268268268268268268268268268268268268268268268269269268269269269269270270270270270270270270270270270270 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999264264265265265265264265266266266266266265265265266266266265265264263262261260258256256256256256256255255254254254255256257258258260260261261262266269271271272273274275276276277278278278278278278277276276277277276276276277277278279278278275272269266264263999999999999999999999999999999999999999264266268269270272273273273275275276277279280281281282282283283282281281281280280280279279279278277276274274273272271270269268268268268268268268268268269269269269269269269269269269268268268268269269271272273274275275275275273273273273273272271271271271271271271270269270269269269270270271271272272271269269269269269269269270270270270269268267267267267266266266266266266266266266266266266266265265265265265264264264263263264263263263263264263263264263263264264264264265266266266265265266267267267267267267267267268268268268268267267267266265265264264263262262262262261261261261260261262261261262262262261262263263263263263263263264264263262261260260259259258258258257257258259260262263262263264264265265265266265265265265264263262261259259258258258258258258257258258258258258258258259259259260261261262263263263263263263263263264263263263263263263263264264264264264264264264264265265266267266266265265266266266266265266265265265265265266266266265265264263261260259259259258258258260261261262263265265266267266267268268269269269269270270270269269269268268266265264264264264265265265265265267266267268270269270271273273273272272271272271270270270269268269268269268267267267267267267266266267267268268268267268268269270271271271271271271271271270270270270270270270270270270270270269269269269268268268267267266266266266266266266266266267267267267268268268268268269268268269269269269269268269269269269269269269269269269270270270270270270270270270270270270270270 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999260999999999999999999999999999266265266267267267267267268268267267266267267269268268267267265264263262260258256256256256256256256255255254255256257258259259261262263263264267270272272273274275276276277277278278278278279279279277278277277277276277278278278279279278276273271268266266999999999999999999999999999999999999999265268269270272274275276277277277278279280280282283283283283283282282282282281282282281280279278278277275275274272272271270269269268268268268268268269269269269269269269269269269268268268268269268269270272273274275275276275274274273273273271272272272272272271271271270270271271271271272273272273272271269269269269270270270270270271270269268269268267267267267267267267267267267266267267267266266265265265265265265265264264264264264264263265265264264264264265265266266267268267266265266267267267267268267267268268269269268268268268268267266266265265264264263264263262261263262264263263263262264263264264264264264264264265265265265264265264263262261260259259259258258258258259260262263263263264264265265266266266266266266266265264263263262261260259259259259259258259259259259260260262262263262264265265265266266266265266265265265265265264265265265265265265265265266265265265265267267267268267266267266266266267267266266266266265265265265265266266265265265264262261260260260259260261262262262264265267267268268269269269269269270270270270270270269270269269267265265264264264265265265266266266266267267268269269270271273273272272272271272271271270270269269269269268268268267267268268269269267267267268268268268269269270271271272272272271272271271271271271271271271271271271271271271271271270270270269269269268268267267267267267267267267267267267268268268268269269269269269269269269269269269269269269269269269269269270270270270270271271271271270270270270270270270 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999260999999999999999999999999999999267268269268268269269269270269268268267268269269268267266266264263262260259257257257257257257257256256256256256257259260261263265265266267268272273274274275276276276277277278278278279279280279280278276276277277278279279279279279278276274272270268268999999999999999999999999999999999999999266269271273274275276277278279279280280281282283283283283283284283283283283283283282281280279279279278276273275275273272270270270269269268268269269269270270270270270270270270269270269268268268269269270272273274274275276276275274274273272272272272273273272273272272272272272272273273273274274274273272270270270270270270270270270271271270270270269269268268267267267268268268268268268269269268267266267266266265265265265265264265264264265265265266266266266266267267267268269267266266267268268268268269268268268269269269269269269269268268267267267266265265265264266263264263264264264264264265266265265266265266267267267267266267266266266265263261261260260259259258258259259260262263263264264265265265266266267267268267267267266266266265264263263261261261261261261261261261261262262264264265266266267267267268268268267267267267267266266266266266266266266266266267267266265266267268268269269267267267267267267267267267267266266266265265265266267267266266265265264263262262261262263263264263264265266267268268269269270270270270271271271271272271270270270270268266265265265265265265265266265266267267268268268272271271273274272272272271272272271271271270270269269269269268268268268268269268268267267268268268268269270271272273272272272272272272272272272272271272272272272272272273272272272272271271271271270270270269268267267267267267267267267267268268269269269269269269269269269269269269270270270270270270270270270271271271270271271271271270270270270270270270270 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999262999999999275264999999271269269270270270270270271270270268268269269269268268267266265264262261260258258258258258258259258258258258259260261263265266267267269270272273274274275276276276277277278278278279280280281281280278277278279279279279279279279279277276274272271271271268999999999999999999999999999999999999268271273274276277279279280281281281282282283283283283284285285285284284284284283283282281281281279279278275274274273273271270270269269269268269269269270270270270270270270269269269268268268268268269270271272273274275276276275275274274273272272273272273273273274273273273273273273273273274274274274272271270270270270270271271271271272271271271270270269269269269269269270270270270270271271270270269268268267266265265265265265266266266266266266267268267267267268268269269269268267268268268269269269269269269269270270270270270269269270269269269268268268267266266267267266266265266265266266267267267267268268268268268268268268268267266266265263262261261260260259259259259260261262263264264265266266266267267267267268268268268267267267267266266265264263263263263262263263263263264264265266268268268268269269269269269269269269268268267267267268268268268268268269268267267267267268269269269269269268267267267267267267267267267267266266265266267268268267267266266265264263264263263264265265264264267267268268269269269270271272272272272272273272272271271271270269267267266265265266265265266265266268269268269269270271272273273274272272271272271272272271271271270269269269269268269269269269269269268267268268268269270271272273273273273273273273273273272273273273273272273273273272273273272273272272272272272272272271271270269268268268267268267268268268268269269269269269269270269269270270270270270270270270270271271271271271271271271271271271270271270270270270270270 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999263999999999999266272271271271271271272271272272271271270269270269270269269268267267266265265264262261261260261262262261260261261262263265266268269270270271273273274275276276276276277278278278278279279280281281281281280280280280280280279279279279278277274273273273273273271999999999272272999999999999999999999270273274276278279280281281282282282282282283284285284284285285285285285285284284283283282281281281281279277275274273273272271270270269269269268268269270270270270270270270269269269269269269268269269270271272273274274276275276276275274273272272273273273274274274274274273273273274274274274274274274273272271270270270270271271271272272272272271271270270269269270270270270271271272272272272272271272271270270269268268268268268268268268268268268268269269269269269270270269269268268268269269269269270270270271270270270270270270270271271271270270269269269268268269269268268268268267267267268268268269268269270269269269269270269269269268267266264263262261261260260261261262262263263264265266266266267267268268268268268268269269268268268268268267267267266265265264264263264265265266266267268269269270270270270270270270270270270269268268268268268268269269269269269269268267268268269270269269269270270268268267267268268267267267268267266266267268269268268267267267266265266266266266266265266266267268268269269269270270271272272272272272272273273272272271271270269268267267266266265266266266267267268271271269270271272273273273273273273272273273271271271271271270270269269269269269269269269269269269269269269269270271272273274273274274274274274273273273274274274273273273273273273272273273273273273273273272272272272272272271271270269269268268268268269269269269269269270270270270270270271271271271271271271271271272271271271271271271271271271271270270270270270270270 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999268269270999999999273272273272273273273273273272271271270270270269269269268268268268267266265265264264263263264264265265265265266267268270271271272273274274274274276276276276276277278278278279279280280281282282282281281280280280280280279279279277276274274273274274274272999999999273999999999999999999999269273274275277279281282282282283282283283284284285285285285285285285285285285285284283284283282282282281280278276275275274273273271270270269269269268269269269270270270270270270269269269269269268268268270271272273274275275275275276276275274273272273273273274274273274274274274274274274274275275274274274274273272271270271271271271272272273273273272272271271271271271271272272273272273272272272272272273273273272272271271270270269270270271270270271271271271271271271271271271269269268269270270270270271271271272271272272271272271271271271271271271271270270270270270270269269269269269269269269269269270270271271270270270270270270269268267266264264263262262261262262262263263264265265266267267267268268268269269269269269270270269269270269269268269269268268267266266266266267268268269269270270271271271272272272272271271271271270270269269269269269269269269269269269269268269269269269269269270270271270269268268268268268268269269268267267267268269268268268268267268268268268267266266267267267268269269270270270271271271272273273273273273273273272272272271271269269269268267267267266267267268269270271270270270271272273273274273272273273272272272272272271271270269270269270269269269269268269269269269270269269270272272273274274274274274273274274273274274274274273274274273273273273273273273273273273273273273273272273273272272272271271270270269270269269270270270270270270270271271271271271271271271271272272272272272271271271271271271271271271270270270270270270270 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999270272273274272273275274274273274274274273272271270270270270269268268268268268267267266266265265265265265267267268269269269270272273273273274275275275275275276277277277277277278279279280280280281281282282282282281281281280280280280279278277275275274274275275275273999999275275999999999999999999999272274275277279281282282283283283283284284285285285285285285285286285285285285285284284283283283282282282280280278277276274274273271270270269269268268268268269270270270270270269269269269269268268268269269271272273273275275276276276277275274273272273273273273273274274274275275274274275275275275275274275275275273272271271271271272272273274274274274273273273273273273274274274275275275274273273273273274274274274274274274273272271271271272271272272272272273273273272272272271270270269270270270271270271271272272271272272272272272272272272273272272272272272272271271270270271270270270270270270270270271271271271271272272271271271270269268267265265264263263263263264264264265265266267268268268268269269269270270270270270271271271271271270270270270270270270269269269269269269269270270271271272272272273273273273273273272273272272271270270270269270270270270269269269269268268269270269269269269270271271270270269269269269268268269269269268268269269269269269268269269271271269268267267268268268269269270271271271271272272273273273273273273273273273272272271271270270270269269268268268268268269270270270270270271272273274274274274273273273272273272272272272272271270270270270269269269269269269270269270270270270272273273274274274274274274274274274274274274274274274274274273273273273273273273273273273273273274273273274273273273273272272271272271271271271271271271271271271271272272272272272272272272272272272272272272272271271271271271271271271271271270270271270270 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999274274275274275275274273273274273273272271271270270270270269268268268269269268267265265266266266266267268269270271271272273273273274275275275276276276277277277277277278278279279280280281281282282282282282281281281280280280279279277277277276276275276277276999999999999276274999999999271271272272275276279280282283283283284284285285286286286285285285285284285285285285285285284284283283283283282282281280279279278277275274271271270270269268268268268268269270269269269269269269269269269268269268269270272273275275275276276276276275274273272273273273273273274274274274274275275275275275275276275275275276275275274274272272272273274274274274275275274274274275275275276276276275276276275275276275275275275275275275275276275275273273273273273273273273273273273273273273272272270270271271271271271271271272272271272272272273273273273273273273273273273273272273272272272272272271271271271271271271271271272272272272272272272272272271269268266265265264264264265265265266266267267268268269269269269270271271272272272272273273272272271271271271271271271270270270270270270270270271271272272273273273274274274274274274274273273273272272271271270271271271271270270269269268268269269269269269270270271272271271270270270270269269269269269269269269270270270270270270270270270269268268268269269269270271271271271271272273273273274274274274273274273273272272272272271271271270270270270269270269270270270271271272273273274275274274274273273273273272272272272271272270270269268268268268269269269270270270270270271272273273273274275274274274274274274274274274274274274274274274274274273274273273273274273273273274274274274274274274274274274273273273273272272272272272272272272272273273273273273272272272272272272272272272272272271271271271271271271271271270270270270271270 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999273274276274274273274274273274274273271271270270270270269269269268269269268268268266266266267267268267268270272273273273273273273274275275276276276277276276277278278277278278279280281281282283282282281281281280280280280279278278278278278278278277278278277276276999999999275999999999273273273274276277280281283284284284284285286286285286286285285284285285285285285285285284284283283283283284283283282281281279278277276275274271270271270269268268268268269268269269269269269270270270268269268268269270271273274275276276276277276276275274273273274274274273274274274274274275275275274275276276276276276276276276276276275275275275275275275275275275275275275276276276277276276276277277277277277276276276275275276276276276276276275275274274274274274274274274274274274274274273274272272271271271271272272272272273272272272272272272273273274274274273273274273273273273273273273273272272271271271271272272272272273273273273273273272272270269267266266265265265265266267267267268268268269269269270270271272273273274274273274274273272272272272272272271271271271271271271271271271272272272273273273274274274274275275275274274273273272272272272272272272272272271270270269268268269269269270270271271272273273272271271271271270270270270269269270270270270270270271270272270270269268268269269270270271271271272272272273273273274274274274274274273273273273273272272272272272271271270271270270270270270271272273273273274274275275275275274274273273273273273272272272271270269268268268268269269270271270270271272272272272273274274275275274274274274274274274275274275274274274274274274274274274273273274274273274274274274274274274274274274274274274274274274274274274274273273274273273273273273273273273273273273272272272272272272271271271271271271271271271271271271271271270 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999277277274274273274274273273273273272271271270270270269269269269269269269269269267267268268268268268269271273274274274273273274274275275275274275276276276277277277277278279280280281282282283282282282281281281281281281281280280279280280280280280280281281279278277276276276999999273275274274276278280281283283284284284285286286286286286286286285285285285285285285285285283283283283284283283284283283282281280279279277276274273272271271269268268267268268268268269269269270269269269268268268268268271272273274275275276276277277276275275273274275275274274274274273274274275275275275275276276276276277277276276276276276276276276275275275275275275276276276276276276277277277277277277277277277277277277277276275276277276276276277277276276276275275275275275275275274274274274274275274272271271271272272273273272272272272272272272273273274274274274274274274274274274274274274274274273273272272272272273272273273273274274274274273273272271268267267266266266266267268268268268268269269270270270271273273273274275275275275274274273273272272272272272272273272272272272272272273273273274274274274274275274275275275275275274274273273273273273272272272272272271271270269269268269269270270270271272273273273273273272272271271271271270271270270270270270270271271271271270269269269270270270270270272272272272273273273274274274274275274274274273273273273272273272273273272272272272272271271271271272272272273273274274275275275275274274274274274274273273273273272271271269269268268267269270270270270271271272273272272273274274275274274274275274274275275275275275274275275275275274274274274274274274274274274274275275275274275275275275275275275275275275275275274274274274274274274274274273273273273273273273272273273272272272271271271271271270270271271271271271271271271 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999277275275275273273272272273272272271271271270271270270269269270269269270269269268268268268268269270272273274275274273273273274274273272272273275276276276277276277279279280281281282283283282282282282282282282282282282282282281282283283283283283283283282282280278277999276276275277277277278280282282284284285285285286287287287287286287286285285285285285284284284285284283283283284283283283282282282281280279278277276275274273272270270270269268268268268268268269269269270270269269268268268269271272273274276276276276277278277276275274274274274273274274274274275275275275275275276276276276276276277277277277276275275275275275275276275275276276276276276276277277277277277277278278278278278278278278278278277277278278278278278277277276276275275276276276275275275275275275275274273272271272273273273273273273272273272273273272273274274274274275275275274274274275275275274274274274273273273273273274274274274274275275275274274273272270269268267267267267268268269269268268269269270270270272274274275275275275275275274274274273273273273273273273273273273273273273273274274274275275274275275275275275276276276275275274275274274274274273273272272272272271270270269269270269270270271272272273273273273273273273273272272272271271271271270270270271271271271271270269269269270270271273272274273273274273273273274274275275275274274274274274273273273273273273273273273273273272272272271272273273273274275274275275276275275275274274274274274274273273272272272271270270268268268268270270270271271272272273272273273274275275275274274274275274275275275275275275274275275275275274274274274274274274274274274275275275275275275275275275275275275275275275275275275274274275274274274274274273273273273273273273273273272272271271271271271271271271271271271271271271271271 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999277275274274273272271272272271271271271271272271271270270270270270270270270270270269269268268269270273274275275275273273272272272272271271272274276276276277277278279280281281282282283283282282282282282283283283283284284284283284284284284285284284284283283281281279278278277277277278279280282283284285285285285286288288288288287287286286286285285285284284284284284284284284283284283284283283282282281280280279277276276275274273273271270269269269268268268268268269269270269268269268268269270271273274274276276277278278278278277276274274275275274274274274274274275275275275276276277277277277277277278278278277276276276276276276276275276276276276277277277277277277277278277278278278278279279278279279279278278278278278279279278278277277276277276276276276275275275275275275274274273272272273273274274274273273273273273274273273273273274275275275275275275275275275275275275275275274274273273274274275275275275275276275275275274273272271269269268268268269269269269269269269270270270271273275276276276276276276275275274274273273273273274274274274273273274274274274275275275275275275275276276276276276276276275275275275275275275274274274273272272272272271270270270270271271271272273274274274274274274274274273274273273273272272272271271271271271271271272271270270270271271272273273274273273274274274274275275275276275274274274274273273273273273274274274274273273273273273273273273273274275275275275276276276276276275276275275275275274273273273272273271270270269269268269270271271272272272272273273273273274275275274275274275275274275274275275275275274274274275275274274274274274274275275274275275275275275275275275275275275275276275275275275275275275275275275275274274274274274274274274273273273273272272272271271271271271271271271271271271272272272272 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999272274274274274274274273272271270271271271271271271271271272272271271271270270271271271270270269268268269271273274274275275274273273271270270271271272274275276276277278279280281281282282283283283282283283282283283284284284285285285285285284285285285284285284284282282281281280279278277278279281282283285285285286285286287288288288288287287286286286285285284284284283284284284284283283283283283283283282281281280280280278277277276276274274273272271269269269268268268268269269269269269269268269269271272272274275276277278278278278278277277275274275275274274275275275275275275275276276277277277278277277277277277277278277277277277277277276276276276276277277277277278278278278278278278278278278279279279279280280280280279279279279279279278278277277277276276276276276276276276275275274274274273273272273274274274273273273273273273273273273272273274274275275275275275276275275276275275275275274274274274275275276275276276276276276276275274273272270270269269269269269270269269269270270271271271274276277277277277277276276276276275274274274274274274274274274274274274274275275276276276276276276276276276276276277276276275276276275275275275275275275274273273273272271271271271272272272273274275275275275275275275275275274274274273273273273273272272271271271271271271271271271271272273273273273273274274274275275275275275275274274274274274274274274274274274274274274274274273273273273273274275275275275275276277277277276276276276275275275275275274273273273273271270270270269269270271271272271271272272272272273273274275275275275275275275275275275275275275275275274275275275274274274274274274274274275275275275275275275275275275275276275276276276276276276275276276275275275275274275275274274274274274273273273273272272272272272272272272272271271272271272272272272 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999272272273275275274275274273272271271270269270271271272272272272272272272271271271271270270271270270269268268268269271273274274274273273271269268268269270272273274275276278279279280281282282282283283283282283283283283283284285286286286286286286286286286286286285285284283282282281280278278999279280282283284285286286286286287288288288288287287286287286285285284284284283283282283283283283283283282282282282282282281281280280278277277277276275274274273272271270269269269268269269269269269269269269270270271273273274275276277277277278278277277277276274274275275275275275275275275275276276276277277277277277277277277278277277277278278277277277276276276276277277277277277278278278277278278278278278278278279279279280280280280280280279279278279278278277277276275275276277276276276276276275275275274274274273272274274274274274274273273273273273273273273273275276276276276276276276277276276276276276275274274274275275276277277277277277277277277275275273272271270270270270270270270270270270271271272272275277278278278278277276276276276275275275275275275275274275275275275275276276276276276277277277277277276277277277277276276276276276276276276276276276276276275274274274274274274273273273273274275276276276276276275275275275275275275275275274273274273272272272272271272272272272272272273274274274274274275275275276276276276275274274274274274274275275274275275274275274274274274274274274275274275276276277276276276277277277276276276276276276275274275275273273274273272271270270270270271271271272272272272272272272273274274275275275275275275275275275275275275275275275275275275275275275275275275275275275275276276276276276276275275276275276276276276276276276276276276276275275275275274274275274274274274274274273273273273273272272273273273272272272272272272272272272272 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999268272272273273276276275275274272272270270271271271272272272272272272273272272270270271271271270270269269268267267267267269271272272271270270269268268268268269272273274276277278279280281281282282283283283283283283283283284284284285286286286286286286286286286287286286286285284283283282281279277999280282283284285286287287286286287289289288288287287287286286285285284285284284283282282282281281282282281280281281282282282281280280280279278278277276275275275274274272272270269269269269270270270269269270270270271272274275276277277277278278278277277277276275275275275277275275276276276276276276277277277277277277278278277278277277277278278278277277277276276276276277277277277277278277278278278278278278278278279279280280281280280280280280280279278278277278277276276276277277277277277277277277276276276275275274273273273274274274274274274274274273273273273273275276276276276277276277277277276276276276275275275275276276277277278278277278277277277277276275273272271271271271271270270271271271272272273273277278278278279279278277277277276276276276275275275275275275275276276276276277277277277277278278277277277277277277276276277277277276276276277277277277278277277276276276276276276275275275275276277277277277277277277276276276276276276276275275274274274274274273272272272272273272272272273273274275274275275276276276276276276276275274274274275275275275275275275275275275275275276275275275276276276277277276277277277277277276276276276276276276275275274275274273274274273271270270270270271272272272273273273273273273273274274275275275275275275275275276276276276276276276276276275276275275275275275275275276276276276276276276276276276276276276276276276276276276276276276276276275275275275275275275274274274274275274274274274273273273273274274274273273273272272272272272272 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999269271270273273273274277278276276274273272272272272272271272272272272272273273272271271270270271271271270269269268267266265265266267269268267267268268268268268269270271273275276278278279280281282282283283283283283283283283284284285285286286287287287287286286286287287287287286286284284283283282279280280281282284285285285286286287287288289289288288287287286286285285285285285284283282282281281281281280280280280280281281281281281281281280279278279279278277276276275275274273271270270270271270270270270271270270270271273275275277277277278279279278278278277277276275276276276276276275276276276276276277277278278278278278278277277277277278278278278278277277276276276276276276277277277277277278277277277277278277278278279280280281280281281281280280280279279279278278276277277277277277277277277277278277277276276276275274274273273274274274274274274274274274274273273274275276276277277277277277277277277277276275275275276276278278278278279278278278278278277276276275273272271271271271271271271271272272273274275278278279280280280279278278278277277277277276276276276276276276276277277277277277277278278278278278278278277277277277277277277277277277277278278278278278278278278278277277277277277277277277277277277278277277277277277277276276276276276275275275275274274274274273273273273273273273273274274274274275275275276277277277277276276275275274275275275275275275275275275275275276276276276276276277277277277278278277277277277277276277276276276276276276275274274274274274274273271271271271271271272272273273274273274273273273274274275276275276276275275276276276276276276276276276276276276276276275275275275276276276276277276276276276276277276276276276276276276276276276276276276276276276275275275275275274274274275275275275274274274274274274274275274274274273273273273273273273 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999271274271270274274274276278277278277275273272272272272272272272272273273273274273273272271271270271271271270269269268267266265265265265265265266267268269269269269269270272274275276277279279280281282282283283283283283283283283284285285285286287288288288287287287287288288288287287286285284999283282280999281282283284286286286286287287288289289289288288287286286286286285285285284283282282282281281280280279279279279279280280280280281281281280280280280280279278278277277277276276274272273273272271271271271271271272272273274276276277277278278279279277278278278277276277277276277277276276276276276276276277277278278278278278278278278278278278278278278279278277277276276276276276276277277277277277277277277277277277278278278280281281281280281281281281280280280279278277277278278277277277277277278278278277278277277276276276275274274274274274274274274275275275275275274274275276277277277277277277277277277277276276275276277278278278279279279279279279279278278277277276275274272271271271271272271272273273274275278279280280280280280280280279279278278278277277277276277276276277277277277278278278277278278278278278278277277277277278277277277277278278278279279279279279279279279278278278278278278278278278278278278278278278278278277277277276276276276275275275275275275275274275275274274274274274274274274275275275275276277277277277277277277276276275275275276276276276276276276275276276276276277277277277278278278278278278278278277277277277277276276276276276276275275274275274274273272271271271272272272272272273274273274273273273274275276275276276276276276276276276276276276276276276276276277276276276276276276276276276277277277277277277277276276276276276276276276276276276276276277276276276275275275275275275274275275275275275275275275275275275275275275275275274274274274274274274 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999268999268268267270281274269281273275277278277277276275275274273272273272272272272273274274274274273273272272270270271271270269269269268267266266266266266266267268269269269270270270272273275276277278279279280282282282283283283283284283283283284285285286287287288288288288288288288289289289288288287287999999999283280281282283285286286287287286287287289290290289289288287287286286286286286285284283283282282281280280280280279278279279279279279279280281281281281281281280279279278278278277277277276275275275275275273273273273273273273274276277277277278279279280279278278278278278278278277277278277278277277276276276277277278278278278279279279278278278278278278279279279278278277277276276276276276277277277277277277277277277277277278278278279281281281281281281281281280280280279279278278278278277278278278279279279279278278278278277277277277276275275275275275275275275275275276275275275275276276277277278277278278278277276276276276277278279279279280280280280280279279279278278278277276275274272272272272272272273274274276278280281280281281281281281281280280279278278278278278278277277277277277278278278278278278278278278278278278278277277278278278278278279279280280280280280280279280280279279279279279279278278278278279279279278279278278278278277276276276276276276276276275275275275275275275275275275275275275275275276275275276277278278278278278278278278277276276276276276276276276276276277277277277277277277277278278278278279279278278278277277277277277276276276276276276276275275275274275275273272272272272272272273272273274274275274274274274275275276276276277276276276276276277277276276276277277277277277277276276276276276276277277277277277277277277277277277276276276276276276276277276277277276276276276276275275275275275275275275275275275276275276275275275275275275275275275274274274274274 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999268267271273277999999999280275276277277276275274273273272272273273273273274274274274274274274273273273271271271270270269269269268268268268268267267267268269268270270270271272273274275276277278279280281282282282283283283283284283283283284285285286287288288288288288289289289290290290290289289287285999282283282282283284285286287287287287287287289290289289289288287287287286287286286285284284283282282281280280279279278278278278278278278278279280281281281280281280280280280279278278278278278278277277277277277276276275275275276277277277278278279279279279279278278278278278278277277276276277277277277277277277277278278279279279279279279279279279279279279279279279279278277277277276276276276276277277276277277277277277277277278278278279279281281281281280281281281280279279279279279279278278278278278279279279279278278278278278277277278277276275275275275275276276276276276276276276276275276276276277277277277276277276276276277278279280280280280280280280280280280279279278278277277276275273273273272273273274275277278280281281281281282282282281281281280279278279279279278278277277277277278278279279278278278279278278279278278278278278278278278279279280280280280280280280280280280280280280279280279279279279279279279279279279279279278278277277277277277277276276277277276276276276276275276276276276276276276276276276276276277277278278278279279279278278278277277276277277277277277277277277277277277278277277277278279278279279279278278277277277277277276276276276276276276276276276275275275275273272273272273273273273273274274274274274274274274275275276276276277277277277277277277277277277277277277277277277277277276276277277277277277278277277277277277277277277276276276276276277277277277276276276276276276276275275275275275275275276276276276276276276276275275275275275275275275275274274275274 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999276276275275999274274274273273272272273273274274275275275274275274273272272272272271270270270270270269269269269268268268269270270270271272272274275275276277278279280280281281282282283283283283283283283284285285286287288288288288288289289289290290290290290290289288286285284283283284285285286286286287287287287288290290289289289288287287287286286286285285284284283283282281280280279278278277277277277277278279279280280281281281281281280281280280280279279279279279279278278278277278277277277277277277278278278279279280279279279279279278278278278278277276276276276276277277277277278279279279279279279279279279279279279279280279279279279279278278278277277276277277277276276277277277277277277278278278278279279280281280280281281281281281280280279279278279278279278278278278278278278278278278278278278277278278277277277276276276277277277277277277277277276276276276276276277276276276276276276277278279280280280280280280280280280280280279279279278278277277276275273273273274274275276278280281282282282282282282282282282281281280279279279279279279278277277278278279279279279278279279279279279279279279279279279280280280281281281281281281281281281281281280280280280280279279280280280280280279279279279279278278277278277277277277277277277277276276277276276276276276276276276275276276276276276277278278278279279279279279280279279278277277277277278278279278278279278277278278278278278279278279279279278278278278277277277277276276275275276276276276276275276275276275275273273273273273273274274274274274274274274274274275275276276276276277277277277277277278277277277277277277277277277277277277277277277277277277277277277277277277277277277276276276276277277277276276276276276276276276276276275275276276276276276276276276276275276275275275275275275275275274274275275275 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999275275275273999999999273273274274274274275275275275275275274274274272271272272272272271271271271270270270270269269269270271272272272273274275276276276277278279280281281281282282283283283283283283284285286287287287288288289289289289290290290290290290290290290290289287286285285285284285286286287287287287287288289290290290290289288288287287287287286285285285284283283283282281280279278277277277277278278278278279279280281281281281281281281281280280281280280280279280280279279278278278278278278278278278278278279280280280280279279280279278278279279277277276276276277278278280279279279279279279280280280279279279279280280279279279279279279279279278278278277277277277277277277277278278278278278279279278279279279281280280280280281281280281280280279279279278278278278278278278278278278278278278278279278278278278278278277277277277278278278278277277277277276277277276276277277276277277277277279280281281281281280280280281280280280280280279279279278278278277276274274274275275275277280282282283283283283283283283283282282281280280280280279279279279278278279279280279279279279279279279279279279279280281281281281281281281281281281281281281281281281281281280280280279279279279279280280279279279279279278278278277277277277277277277277277277277277278277277276276276276276276276276276276276277278279279279279280280280280280279279278277278278278279279280278278278279278278278278278278279279279280278278278278278277277277277276275275275276276276276276276276276276276276275275274275274274274274274274274275275274274274275276276276276276277277277277277277277277277277278278278277277278278278277277278277277277277277277277277277277277277277276276276277277277277276276276276277277277276276276276276276276276276276276276276276276276276275275276275275275275275275275275275 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999273273273999275273274274275275276275275275274275274274273272271272272272272273274273272272271271271270271272273274274274275276276276277277278279279280280281281282282282283282284284284285286286287288288288288288289289289289289289290290290290289290289289289288287287286286285286287287287287287287287289290290290290290289289288288288287287286286286285284284283283282282281279278277277277277278278278278279279280280281281281281282282282281281281281281281280280280280279279279279279279279279279278279279280280280280280280280280280279279279279279279277277278278279280280280280280279279280280280281280279279280280280281280280280279279279279279279279278278278278278278278278278278279279279279279279279279279280281281281281281282282281281280280279279279278278278278278278278279278279279278279279279279279279279279278278278278279278278278278278278278277277277277277277277277277277278279280281281281281281281281280281281281281280280280280279278278278277276275274275275275276278281282283284284283283284284283283282282282281281280280280279279279278279279280280280280280280280280279279280280281281281282282282282282282282282282282282282282282281281281280280280279279279279279279279279279279279278278278278278278278277277277277277277277277277278278278277277277277276276277277277277278279279279280280280280280280281281280280279279279278279279279279279279278278278279278278279279279279279279278278278278278278277277277276276276276276276276277277276277276276276276276275275274275275275275275275275275275275275275275276276276276277277277277277277277277277277278278278278278278278278278278278278277277277277277277277277277277277277276276277277277277277277277276276276277277277276276276276276276276276276275276276276276276276276276276275275275275275275275275275275 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999273274273274275275276276276276275274274275274274273272271272272272272273274274274273272272272272273273274274275276277277276278278279280280281281281281281282283283284284285285286286287287288288288288288288288289288288289289289289290289289290290289289289288288287287286287287287287287287287287289290291290290290289289288288288287287288286286285284284283283283282281279278277277277277278279279278279280281280281281282282282282282282282282282281281281281281281280280280279279279279279280279280280280281281281280281282281281281280280280280279279279280280280281281280280281280280281281281281281280281281281281281281280280280280279279279279280280279279279279279279279279279279279279279279279279279279280281281281281282282282282281280280279279279279279279279278278278279279279279279279279279279279279279279279279279279279279279278279279278279278278278278278278278278278279279281282282282282281281281281281281281281281281280280280280279279278278277276275275276276277280282283284284284284284284284284283283282282281280280280280280279279279279280280280280280280280280280280281281282282282282283283283283282283283283282282282282282282281281281280280280279279279279279279279280279279279278279278278278278278278277278277277277278277278278278278278279279278278278278278279279279280280280280280280280280281281281280280279279279279280280279279279279278278278279278279279279279280279278278278278278278277277277277276276276276276277277277277277277277276277278277277276275276276275276275275276276276275275275276276277276276277277277277277278277277277278278278278278278278278279279279278278278277278277277277277277277277277277277277277277278278277277277277277277277276276276276276276276276276276276276276276276276276276276276276276276276276275275275276275275 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999273273274273274275276276277277277276275274274275274274273272272272273273272275276276277276275274273273274274274275276277278278278279280281282282282282282282283283284285285285286286287287288288288288288288288288288288288288289289289289289289289289289289288288288288287287287287287287286287287287287289290290291290290290289289289288288288287287286285284284284283283282281280279278278278277279279280279280280281281281282282282282282282282282282282282282281281281281280279279279279280281281280280280280280281281281281282282282282282282281281281280280281282281281281281281281282281280281282282282282281282282282282282282282281281280280280280280280280280280280280279279280279280280280279279279280279279279280281281282282282282282282281280280279279279279279278279278278278278278279279279279279279280280279279279279279279279279279279279279279279279278278279279278279278278279280281282282282282282281281281281281281281281281281280280280280280279279278277276276276277277279281283284284284284285285285285284284284283282281281280280280280280280280280280280281280280280280281281281282282282283283283283283283284283283283283283283283283283282282281281281280280280279279279279280279280280279278278279278279278278278278277277277277277278278278278278278279280280280280280280281280280280281280281281280280280280281280280280280280280280280280280280279279279278278278278280279279279279279279279279278278278277277277277277277277277277277276277277278278277278278277277278277277277277277276277277276277277277276275276276277277277277277277277277277278278278277278278278278278279279279279279279279279278278278277278278277278277277277277277278278278278278277278278277277277277276276276277277277276277276276276276275276276276276276275276275276276276276276276276276275275 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999275274274275275275276276278278278276276275274274274274274274273274274273273274276278279278278277277276275275275276276277277278278279280281282282283283283283283284284285285286287287288288289289288288288288288288287287287287287288288288288288289289288289289288288288288288287287287287287287287287287288290291291291290290290290289288289288288288287286285285285284284283282282281281280279279279279279280280280281281282282282283283283283283282282282282282282282282282281281280280280280280281281281281281282282282282281281281281282283283283282282282282282282283282282281281281281281281281282282282282283282282283283283283282282282281280280281281280280280280280280280281280280280280280280280280279280280279280280281281281282282282282282281280280280279279279279279279279278278278279279279279279279279279280279279279279279279280280280279279279279280279279280280280280280279279281281282283283282282282281281281281281281282281281281281280280280280280279279278276277277277278281283284284284285285285285286286285285284283282282281281281281280280280280281281281281281281281282282282283283283283283283284284284284283283283283283283283283283283283282282281281281280279279279279279279279279279279278278279279278278278278278278278278278278278278278278278279279280280281282281281281281281281281281281281281280280281280280281281281280280280280280280280279279278278278278278278279279280279279279279279278278278277277277278278277277278278278278278278278278277278278278278278278278278278278278278278278278277278277275276277276277278277278277277277277278278278278278278278278278279279279279279279279279279279278278278278278278278277277278278278278278278278278278278277277276276277277277277277277276277276276276276276276276276276276276276275275276276276277276276276276276 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999277999999275275276276276277278278278277276276275274274274274274275276276276276276278280280280279279278278277277277277277278278279279280281282282283283283284284284284285285286287288288288288289289289289288288288287287286286286287287288288288288289288288288288288288288288288288287288287287287287287287289291291291291291290290290289289289288288288288287286286285284284284283283282282281281280280280281281281281282282282282282283283282283283283283282282283283282282282281281281281281281281281281282282282282283283282281281282282282283283283283283283283283283282282282282282282282282282282283283283283283284284284284284283284282282282281281281281281280280281281281281280281280280280280280280279279279280280280280281281281282282282283282282281280280280280280279279279279279279279279279279279279279280279280280279279279280280280280280280280280280280280280280280281281280280280281282283283283283282282282281281281281281281281281281281281281280281280280279278277277278278280283283284284285285285286286286286286286285284283282282281281281280281281281281281281282282282282283283283283283284284284284284284284284284283283283283283283283283284283283283282281280280280279279279279279279279279279278279279279279279278279278278278278278278279278278278279279279280281282282282282282282281282282282282282281281281280281280281281281280280280280281281280279279278278278278278278278280279280279279279279279279279278278278278278278278278278278278278278278278278278278278278278278279279279278279278279279279279278278276277277277278277277277277278277278278278278278278278279279279279279279279279279280279279279279278278278278278278278278278278278278278278278278278278278278277277277277277277277277277277277276276277276276276276276276276276276276276276276277277277277276276 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289999999999279277276277277277278279279279278277276276275274274274275276277278278277278280280280280280280280279278278278278277278279279280281281282282283283283284284285285286287287288289289289289289289289288288287287287286286286286287287287287287288288288288288288288288288288288288288288288288288287288289290291291291291291290290290290289289289289288288287287286286285284284283283283283282282282282282282282282282283283283283283283282283283283283283282282282282283283282282282282281282281282282282282282283283283283281281282282283283283283283283283283283283283282281282282282282282282282283282283283283283284284284284284283284283283282281281281281281282281281281281281281281281280280280280279279279280280280280280280281281282282282283282282281281281281280280280279279279279279279280279279280279280280280280280280280280280280280280280280280280281281281280281281281281280280281282283283283283283282282281282282281282282282282281281281281281281281281280279278278278278280282283284285285285285286286287287286286286285284283283282282281281281281281281282282282283283283284284284284284284284284285285284284284284284284284284283284283283283283284283283282282281280280280280279279279279279279279279279279279279279279279278278278279279279279279279279279279280281282282282282282282282282282282282282282281281281281281281281281281280280280281280280279279279279278278278278278278279279278279279280279279279279279279279279278278279279278279278278279279279279279279279279279279280280280280280280280279279279278278277277277277278278278278278278277278277278278278278278278279279279279280280280280280280280279279279279279278278278279279279279279279279279278278278278278278278278278277277277277277277277277277277277277276276276276276276276276276276277277277277277276276276 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999278278277278278278279279280279278277276275275274274275276277279279278279280280281281281281281280280279279278278278278279279279280281281282282283283284285285286287287288289289289289289289289289288287287286286286285286286287288287287287288288288288288289289288288288288288288288288288288288288290291291291291291291291290290290289290289288288288288287287286286286285284284284284284283283283283283283282282283283283283283283283283283283283283282282282282281281281281281281281282282283282282282282282283283283282282282283283284284284284284283283282282282282282282282282282282283284284283283284284284284284285284284284283283283283282282281281281281281281281281281281281281280280280280279279279280281280280280281281281282282282283283282281281281280281280280279279279279279280279280280280280280280280280280280280280280280280280281281281281281281282282282282282281281281282283284284284283283282282282282282282281282282282281281282282281281281281280279278278278280282284284285286286286286286286287287287287286285285284283283282282282282282282283283283283284284284284284285285285285285285285285285284284284284284284284284284283284284284284284283283283282281280280280280280279279279279279279279280280280280279279280280279280280280279279279280280280280282282282283283283283283283283283283283282282282282281281281281281281280280280281280280279279279278278278278278278278278278278278278279279279279279279279279279279279279279279279279279280280279279280280280280280280280280281280281280280280279279279278278277278278278278278278278278278278278278278278278278279279279279279280280280280280280280280280280279279279279279279279279279279280280279279279279279279279279279278278277277277277277277277277277277277277277276276276276276276276276277277277277277276276276 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999272999999999278279279278279279279280279279278277276275275275276277277279280280280280280281281282282281281280280280279279278278278279279280281281282282283284284285285286287288288289289289289289289289288288287286286285285285286286287287287287287288288288288288288289288288288288288288288289289288288289290291291291291291291291291291291290290290289289289288288288287286286285285285284284284284284284284283284283283284284284285284284284284284283283282282282281281281281281281281281281282283283282282283283283283283282282283283283284284284284284284284282282282282282283283283283283284284284284284284284285284284284284284284284284283284283283283282281281281281281281281281281281281281280280280280280280281281281280281281281281282282283283283282282282281281281281280279280280280280280280280281280280280280280280280280281281280281281281281282282282282282282282282282281281282283283284284284284284283283283282282282282282282282282282282282282282282281281280279279279280282284285285286286286287287287287287288288287287286285285284284283283283283283283283284284284284285285285285285285285285285286285285285285285284284284284284285284284284284283283284283283283282281281280280280279279280280280280280280281281280280280280280280281281280281280280280280280280281281282282282283283282282283283284284284283282282282282281281281281281280280281281281280279279279279279278278278278277278278278278279279279278279280279279279280280280280280280280280280280280280280281281281281281281281281282281281281280280280279279278278278278279278278279278278278278278278278278279279279279279280279280280281281280280280280280280280280280280279280280280279280280280281280280280280280280279279279279278278278278277278278278278278278277277277277277276276276277277277277277277277277277276276 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286286281286999279279280280280281280280279279278277277276275275277278278279280280280281281281282282282282281281280280280279279279279279280281281281282282283284284285286286287288289289290290289289289288288287286286286286285285286286286287287288288288288288288289288288288288288289288289289289289289289290292292292292292292292292292291291291290290290289290289289288288287287286285285285285284284284284284284284284284284284284284284284284284283283282282282282281281281281282282282282282283283283283283283284284283283282283284284285285285285285285284284283283283283283283283283283284283284284285284284284284284284284284284283284284284284284284284284283283282282281281282282282282282281281281280281281280281281281281281281281282282283283283283283282282282282281281281281280280281280280280281281281281280281280281281281281281281281282281282282283283282282283282282282282282283283283285285285284284284283283283283283283282283282282282283282283282282281281280279280281282284285285285286287287287287287287288288288288287287286285285284284284284284284284284284284284284285285285285285285285285285285285285285285285284284284284284284284284284284284283283283283283284282281281281281281281280280281281280281281281281280281281281281281282281281281280280280280281281282282282282282283283283283283284283283283283282282282282281281281280280281281280281280280279279279280278278278278278278278278278279280281280280280280280280280280280281280280281280281281280281281281282282282282282282282282282281282281280280279279279278278278279279279279278278278278279278278278279279279279280280280280280281281281280280280280280280280280280280280280280280281281281281280280280281280280280279279279279279279278278278278278278278278278278278277277278277277277277277277277278277277277277277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999281279279279279280281281281280279279278278278277276275276278278278279280280281282282282282282282282281281281281280280280280280281281281281282283283284284285285286287288288289289289290289289289288287286285285285285285285285285286287287288288288288288288289289289289289289289289289289289289289289291292292292292292292292292292291291291291291291290290289289289289287287287286286285285285285285285285285284284284284285284284285284284284284283283283283283282283283283283282283283283283283283283283284284284284283284285285285285285285285285285285284284285284284283283284284284284284284284284284285284284285284284284284284284284284284283284284284284284284283283282282283282282282282282281281281281281281281281282282282282282283283283283283283283282282282282282282281281281281281281281281281281281281281281281281281281281282282282282282282282283283283283282282282282283283284284285285285284284284283283283283283283283283283282283283283283283282281280280281282283284285285286286287287288288288288288288288289289288288287286286285285284284284284284285285285285285285285285285285285285285285286285284284285285285284284284284284284284284284284284283283283283284283282282282282281281281281281281281280281281281281282282282282282282282282282281281280281281282282282282283283283283283283283283283283283283282282282282281281281281281281281281281280280280280279279279279279279278277278279280280280280281280280280281280280280281281281281281281281282281282282282282283283283283283283283283283282282282281280280279278278279279279279280279279279279278279278279279279279279280280280280281281281281281281280280280280280280280281280281281281281281281281281281281281281280280280280280280280280279279279278279279279279279278279279278278277277277277277277277278277277277277277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283281280280280280281281281280279279278278278277276275275279278278279280280281282282282282282282282282282282282282282282282282282282282282282283283284285285286286287288289289289289289289289288287286285285284284284284285285285285286287287288288288288289289289290290289289289289289290289289289291292292292292292292292293292292292291292291291291291290290290289289289288287287287286286286286285285285285285285285285285285285285285284284284284284284284284284283283283283283283284284283283284284284284284284283284284285285286286285285285285285285285284285284284284284284284285285285285284284285286285284285285285284284284284284284283284283284284284284284284284284284283283282283283282282282281281281281281281282282282283283283283284283282283283282283283282282282282282282282282281282282282282281281281281281281281282282282282281282282282282282283283283283282282283283284284285285285285284284284284283283283283283283283283283283283283283283282281281281282284285286286287287287288288288289289288288288288289289289288287287286286286285285285285285285285285285285285285285285285285285285285285285284284285285285284284284284284284284284284284284284283283283284283283283283283283282282281281281281281281282282282283283283283283283283283283283282282282282282283283283283283283283284284284284283283283283283282282282281282282281281281281282281281281280281280279279279279279279279278279280280280281281281281281281281280281281282281281281281281282282282282283283283283283283283284283283283283282282281281280279279279279279279280280280280279279279279279279279279279279280280280281281282282282282281280280281281281281281281281281281281281281282281282281281281281281281280280280280280280280280280280280280279280279279279279279279278278277277277277277278277277277277277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285283282281281281281280280279279278278278277277276276276278278278279280280281282282282282282282283283283283283283283283283283283283283283283283283285286286286287288288289289289289289289288288287286285284283283283284283284283284285286287288288289289289290290290289290290290290290290290290291292292293293293293293292292292293293292292292292292291291291291290289289289288288288288287287287286286286286286285285285285285285285285285285284285285285285284284284284284284284284284284284284284284285284284284284285285285286286285286286285285286286286285286285286285285284284284285285285285285286286285285285285285284284284284285285285284284284284284284285284284284284284283283283283282282282282282282281281281283283283283284284284284284283283282283283283283283283283283283283283282282283283283283282282282282282282282282282282282282283283282283283283283283282283283284284284285285285285285285284284284284284283283283283284284283283283283282282282282283285285286286287287288288288289289289289289288288289289289289288288287287287286286285285285285285285285285285285285286285285285285285285285285285285285285285284284284284284285285285285285285284284284284284284284283284283283283282282281281281282282283283283283283284283283283284283284283283283283283283283283283283283284284284284284284284283283283283283282282282282282282282281281281281281281281281280280280280280279279279279280280280280281281281282281282281281282282282282282282282282282282282283283284283284284284284284284284283284283282281281281280280280280280280281280280280280279279280280279280280280280280280281281281282282282282281281281281281281281281281281281281281281281282282281281281281281281281281281281281281281281281280281281280280280280280280280279279279278278277277277277278278277277277277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286283283282282281280279279278278278277277277276275276275276277277280280280281282282282282282283283283284284284284283284284283283283284284283284285286286286287287288289289289289289289288288287286285284283283283283283283283283284285285286287288288288289289290290290290290290290290290290291292292292293293293293293293293292292292292292292292292291292291291291290290289289289288288288287287287287286286286286286285285285285285285286285285285285285285284284284284285284285285285284284285284285285284284284284285285286286286285286285285286286286286286286286286286286286285284285285285285285286286285285286285284284284284284284284285285285285285285285285284285285284285284284284283282282282282282281281281282283283284284284283284284284284283284283283283283283283283283283284283283283283283284283284283283283283283283282282282282283283283283283283283283283283284284284284284285285285285285284284284284284283283283283283283283283283283283283283283284285286286287287287288288289289289289289289289289289289290290290289289288288287287286286286286286286286286286286286286286286286286286286285285285285285285285285285284284284284285284285285284285285285285284284284284285284284284284283283282282283283283283283284284283285284284284284284284284285283283284284283283283283284284284284284284284283283283283283282282282283283283282282282282282280281281281281281280281281280280280280279279280280281281282282282282282282282283283282283283283282282283283283283284284284284284284285285285285285284284283282282281280280280280280280281280280281281280280280280280280280280280280281281282282282282282282282281281281282281281281281281281281282281282282282282281281282282282281281281281281281281281281281281281281281281281280280280280279279278278277277277278278278277277277277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289288285283282282282281280279278277277276276276276276275275275276276278279280280281282282282282283283283284284284284285284284284284284284284284284285286286286287287288289289289289289289289289288287286285284283283283283284283283283284284285285286288288288289289290289290290290290291291291292293293293293294294294293293294293293293292293293293292292292292292292291291291290290290289289289288288287287287287287286286286286286286286286285285285286286286285286285285286286285285286286286285286285285285285285284285286286286286286285286286286286286286286286286286286286286286286285285285285285285286286286286286286285285284284284285285285285285285285285285285285285284285285284285284284282282282282281282282281282282283284283284284284284284284284283283283283284283283284283284284284284284284284285284285284284284284284284283283282283283283283283283283283283283284284285285285285286286285285285285284284285284283284284283283283283284283283283284284285285286287287287288288288288289289290290290290290290290290290290290290290289289288288287286286286286286286286287286286286286286286286286286286286286285285285286285285285284284285285285285285285286285285285285285285285285285285285285284284284284284284284284284284285284284284284285285284284284284284284284284283284284283283284284284284284284284283283282283282283283283282283283283282282282281281281281281281281280280280281281280280280281281281282282282282282282282283283283283284283283283283283283282283284284284284284285285285286285285285284284283282281281281281281281281280280281281281281280281280280280280280280280281281282282282283283283283282281281282281282281281281281282281281281282281281281281282282282281281281281281281282281281282282281281281281281280280280279279279279278277277277278278277277277277277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287284282281281281280280279277276275275275275275275275275275275276278279280280280281282283283283283284284284284284285285285285284285285285285286286286286286287287289289289289290290289289289288286286285284283283283284284284283283283284284284284285287288289290290290290291291291291292292292293293293294294293294294294294294293293293293293292292292293293293293292292292292291291291290290289289288288288288287286286286286286286286286286286286287286286286285286286286287287286286286286286286286286286286285285286286286286286286286286287287286287287286286286286286286286286287287286286286286286286286287287287286285284284284284285285285285285285286286285286286285285285285285285285284283283282282282282282282282283283284284284285285285285285284284284284283284284284284284284284284285285285286285285285286285285285285285285284283283284283283284284283283283283284284285285285286286286286286285286285285284284285284284284284284283283283284284284285286286287287288288289289289289289290290290290290290290290290290290290290290290289289288287287286286286286286286286286286286286286286286286286286285286285285285285285285285284285285285285285285286286286286286286286286286286286286286285285285284285285285284284284284284284284284284285285285285284284284284283283283284284284284284284284284284284284284283283283283283283283283283282282282282282282282281281282281281281280281281281280281280281282281282282282283283283282283283283283283284283283283283284283284284284284285285285286285286286286286285284283282282281281281281281281280280281281281281281281281281280281281281281281282282283283283283283283282282281282282281281281282282281281281282282281282282281282282282282282281281281282282282282282282282281282281281281280280279279279278278277277278278278278277277277277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286283281281280279279279278277276275275275276276276275276276277278278279280280280281282282283283283284285284284284285285285285285285286286286286287287286287288288289289289289290289289288288288286286285284284284284284285285284283283284283284287285288288289291291291291291292292292292293293294294293294294294294294295294294294294294293293293293293293293293293293293293292292292292291291291290290289288289289287287287287287287286286286287287287286286287286287287287287288287288286287287287286286286286286286286286287287287286287287287287287287287286286286286286286286286287287287287287287287287287287287287286285284284284285285285285285285285286285286286286286285285285285285285284283283283283283283283282283283284284284285285285285285285285285285285285285285285285285285285285285285286286286286286286286286286286286285285285284284284284284284284284283284285285286286286286286287286286286286286285285285285284284284284284283284284284285285285286287287288288288289289289289290290290290291291290290290291290291290290290290289289288288287287287287287287286286286286286286286286286285286285285285285285285285285285285285285286285285286286286286287287287286286287286287287287287286286285285285286286285285284284284284284284284285285286286285284285284283284285284285284284284284284283283284284284284283283283283283283282282282282282282282282282282281282282281281282281281281281280280281282283282282283283283283283283283284284284284284284283284283284285284284284285285285286286286286286286286285284283282281281281281281281281281281281281282282281281281281281281281282282282282283283283283283283282282282282282282281282282281281281281281281281282281281281282281282281282282282282282282282282281281281281281281281280280279279279279278278278278278278278277277277277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285283281281279278278278277277276276277277278278276275276277278279279279279280280280281282283283284284285285284284285285285286286286286287287287287287287287288289289289289290290289289288288287286286285285285285285285285285284282282282999999286288289287289291291292292292292292292293293293294294294293294294295295295294294295294294294294294293293293293292293293293293293293293292292291291291291290290289289289288289287286288288287287287287287287287287287288288288288287287288287287288287287287287287287287286287287287287287287287287287287287286286286286286286286286287287287287287287288288287287287287287286285284285285285285284285285285286285285286286285285286286285285285284284283283283283283283283283283284284285285285285285285286285285286286286286286286285286286286286285285285286286286287287286287286286286286286286286286285285284284284284284285285285286287286286287287287287287286286286286285286285285285285285284284284284285285286286287287288288289289289289289290290290290291291291291291291290291291291291291290290289289289288287287287287287286286286286286286286286286286286286286285285285286285285285285285286286286286287287287287288288287287287287287287288288287287287286286286286286285284285284284284284284284285286286286285285284284284284284284284284284284284284284283284284284284283284283283283282283283282282282282282282283282282282282282282282281281281281281281281282282282282283283283283283283284284284284284284284284284284284284285285285285285286286286286286286286286285285284283282281281282281281281281281281281282281282281282282281282282282282282283283283283283283283283283282282281282282282281281281281281281281281281281281281282282282282282282282282282282282282282282281281281281281280280279279279279278278278278278278278277277277277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293999999288286284283282281279280280278278277278279279278278278277277277278279279279278279280280280281282283283284284285285284284285285285286287287287287287287287287287288289289290290290290290290289288288287286286286286286287287286286286285283285999286287288289290290290292292292292293293293293293293293294294294294294294294295295295294295295294294294293293293293293293293293293293293293293293292292292292291291290290289289289289288288289288287287288288288288288288288288288288288288287288288288288288287287287287286287287287287287287287287286287287287286286286286285285286287287287287287287287287287287287287287286286285284284284284285285285285285285287286286286285286286286286286286286285284284283283283283283283284284284285285286286286286286286286286286286286286287287286287287287287286286286286286287287287287287287287287287287287287286286285285285285285285285286286286286287287287287287287287287287286286286286285285285285285285285284284285285286287288288288289289289289289289290290290291291291291292291291291290290291291291290290290289289289289288288288287287286286286285286286286286286286286286286286285286285285285285286286286286287287287287288288288287288287288288288288288288288287286287287287287285285285284284284283284284285285285286286285284284284284284284284284284284284284284283283284284284284284284284283284283283283283283283283283283283282282282283282283283283281281281281281282282282283283284285283283284284284284284285285284284284284285285285285285285285286286286286286286286286286285285284283282282282282281281281281281281282282282282282282282282282282282283283283283283283283283283283282282281282281281281281281281281281281281281281281281281282281282282282282282282282282282282282282281281281281280280279279279279279278278278278278277277278277277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295999290287285283283281281279280279278278279280280280279279279279279279279280279279279280280280280281283283283284284285285284284285285286286287287287287287287287287288289289290290290290290290290289288288287286286286286287288288287287287286284286288288289290290290291291291292293293293293293293293293293294293293293294294294294294294294295295295295296294293293294293293294294294294294294293294293292292292292291291292291290290290289289289289289289289289289289289289289288288288288288288288288288288288287287287287287287287287287287287287287286287287287286286286286286286286286287287287287287287288288288288287287286286284284284284284284285286285285286286286286286286286286286285286286285285283284284284283284284284284285285285286286286287286287287287286286286286287287288288287287287288287287287287287287288288288288287287287287287287287287287286286285285286285286286286286286286287287287288288288287287287287286286286286286285285285285285285285286287288288288289289289289289289289290290290290291291291292292291291291290290290290291291290290290290290289288288287287287286286286286286286286286286286286286286286286286286285286286286286287288288288288288288288288288288288288288288288288288287287287287287287287286285285284284284284284285284285285284284284284284284284284284284284285284284284284284284285285285285284284284284284283284284283283284283282282283282282282283283283282282281281282282283282283283283284284284283284284284284285284285284284284284284284284284285285285285285285286286286286286285285285285285284283283282282282282282282282282282282282282282282282282282283283283283283283283283283283283283282281281282281281281281282282281281281281281281281281281281281281281282282282281281282282281282282281281280280280280279279279279279279278278278278277277277278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292291288287285284283283281280279279279278279281281281281280280280280280280280280280280280281281281281282283283284284284285285284284285286286286287287287287287287288288289289290290290290290290290289289288288287287287287287288288288287287288288287288289290290290291291291291292292292293293293293293293293294294294293294294293294294294295294295295295295295294294294294294294294295294294294294294293293293293293293292292292291291290290290290290290289290290290290290290290290289289289289290289289288288288288288287288288288287287287287287287287287286287287286286286286286286286286286287287287287287287287287288287287287286285283283283283283283284286287286286286286286287287286286286286285285284284284284284284284284284284284285285286286286287287287287288288287287287286288287288288288288288288288288287287288287288287288288288287288288287287287287287287287286286286286286286286286286287287287287288288288288288288288288287287286286286286285285286286286286287287288289290290290290290290290289290290290291291291292292292292291291290291291291290291291291291290290289288288288287286286286286286286286286287287287287286286286286286286287286287287288288289289289288288288288289289289289289288288288288288288288287287287287287286286285285285285284284285284285284284284284285283284284284284285285284284285285284284285285285285285284284284284284284284284283283283282283282283283283284282283283282282282282283283283283283284284284284284283284284284284285285284284285284285285284284285285285285285285286286285286286285286286286285285284284283283283282282282282283282282282282282283283283283283283283283283284283283283283283283282282282282281281281282281281281281281281281281281281281281281281281281281281281282282282282282281281281280280280279279279279279279279278277277278277278277277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290289288288286284284283282281280279279279279281281281282281281281280280280281281281281281281281281281281282283284284284285285285285285286286286287287287287288288288288289289290290290290290290290290289289288288287287287287288288289289288288288290290290291291292292292292292292292292293293293293293293293294294294294293294294294294295294295295295295295295295295295295295295295295295295295295295295294294294294293293293292292292292291291291292291291290290290290290290290290291291290291291290290290289289289289288288288289288287287287287287287287287286287286286286286286286286286286286287287287287287287287288288288288287286286283282282283282282284286287287286286286286286287287286286286286285285285285285285284284284284284285285286286286287287287288288288288288288288288288287288288288288288288288288288288288288288288288288288287288288288288288288288288287287287287286286286286286287287287288287288288288288289289289289288288287287286286286286286286286287287288288289290290290290290290290289290290291291291291292292292292291291290291291291291291291292291291290289289289288288287287287286286286286287287287287287287286287287287287287287287288289289289289289289289289289289289290290290289289289288288288288288287287288287287287286286285285284284284285284284284284284284284284284284284284284284284284285286285285285285286286285285285285284284284284284283283283284283283283283283283283282283282283283283282283283283283283284283283283283284284284285285284284285285285285285285285285285285285285286286285285285285286286286286285285286285285284284283283283283283283283283283283283283283283283283283283283283283283283283283282282282282282281281282282281281281281281281281281281281281281281281281281281281282282282282282281281281281280280280279279279279279278278277277277277278278278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290289288286286284283282281282281280280280281281281281281282282282282282282281281282282282282281281281281282283283285285285285285285285286286287287287287288288288288288289289290290290290290291290290290289289288288288288288288289290290289288288999291292292292293293293293293293293293293293293293293293293294294294294294294294294294294295295294295295295295295295296295295295296296296295295296296295295295295294294294294294293293293293292292292291291292291291291291291291291291292292291292291291291290289290290289289288288288288288288288288287287287287287287287287287287286286286286286286286287287287287287288288288288287287286285284283282281283282284286287287287286286286287287287287286286286286286285285285286285284284285284284284286286286287287287288288288288288288288288288288288288288288288289288288288288288288289288288288289288288288288288287288288288287287287287287287286286286287287287287287288288288289289289289289289289289288287287287286286286287287287288289290290290290290291291290290290291291291292292292292292292292291291291291291291291291292292292291290290289289289289288287287287287287287288287287287287287287287288288288288288289289290290290289289289290289289290290290290290289289288288288289288288288288287287287286286286286285285285284285284284284284284284284284284284284285285285285285285285285286286286286286286285285285284284284284284283283284283283283283283283283283283283283282283283283283283283283283283283284284284284284284285285284285285285285285285285285285285285285286286285285285285285285286286286286286286286285285285285284284284283283283283283283283283283283283283283283283283283283283282281282282281282282281281281281281281281281281281281281281280281281281281281281282282282282282282281281280281280280280279279279279278278277277277277277278278278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285288286285284284283282281281281280280280281281281281282282283283283283283283283283283283283283283283283284284285285285285285285286286286287287287287287287288288288289289289290290291290290291291290290290289288288288289289288288289290291291290289999999292293293293294294294294293293293293293293293293293293293294294294294294294294294294295295295295295296296296296296296296296297296297297297296296296296295295295295295295294294294293293293292292292292292292291291291291292292292292292292292292291291290290290290290289289289289289288288288288288287287287287287287287287287287287286287286287287287287287287287288288288288287287286286285283281281281282284287287288287287288287287287286287287286286286286285286286286286285285285285285285286287287287287287287288288288288288288288288288288288288288288289289289289289289289289289289289289289289289289288288288288288288288287287287287287287287287287287287287288288289289289289290290289289290289289288287287287286287287288288289290291291291291291291291290290291291291292292292292292292292292291291291291291291291292292292291291291290290289289288288288287287287288288288288288288288288288288288288289289290290290290290290290290290289289290290290290290290289289289289288289288288288288288287287286286286285285285285285284284284284284284284284284284284285285285285285285285285286286286286286286286286285285285284284284284284284283283283283283282283283284284284283284283284283283283283283283284284284284285285284284284285285285285286285285285285285285286286286286286285286286285286286286286286286286286286286286286286285285285284284283283283283283283283283283283283283283283283283282282281282282282282282282281281281281281281281281280280280280280281281281281281282282282281282281281281280280280280280279279279278278278278277277277278278278278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288287285284282283282281281280281281281281281281281282283283283283283283283283283284284284285284285285285285285286286286286286286286286286287287287287287287288288289289290290290290290290290291291290290289289289288289290290289289290291291292292292292292293294294294294294294294294293293293293293292293292293294294294294294294294294294294295294295295295296296296296296297297297297298297297297296297297296296296295295295295295294294294294293293293293292292292291291291292292293293292292292292292291291290290290290290290289289289289288288289289288287286287287287286286287286287287286287286286286286287287287287287287288288287287287286285283282281279281285286287288288288287288287286287286286286286287286286286286287286286286286286286286287287288288288287288288288289289289289288288288288288288288288289289289289289289290290290289289289289289289289288288288288288288288288287287287287287287287287287287287288288288289289290290290290289289289289289289288288288288288288288289290291291291291291291290290291291291292292292292292292292292292292292291291291291292292292292292291291290290290290289290289289288288288288288288288288288288288289289289289290290290290290290290290290290291290290290290290290290290290289289288289288288289288288287287286286286285285285285285284284285284285284284284285285285285285285285285285285286286285286286286286286285285285285285284284284284284284283283283282283283283284284284284284284284284284284283284284284284284284285284284285285285285286286286285285285286285286286286287286286286285286286286286286286286286286285285285285285285286285285284284283283283283283283283283283283283283283283283282282282282282282282282282282281281281281281281281281280280280280281281281281281281282282282282282282281281281280280280280280279279278278278278278277277278278278278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292289287285284283283282281280280282282282282283281280282283284284283283284284284284284285285285285285285285285286286286286286286286286286287287287287287287288288289289290290290290291291291291291291291290289289289289289290290290289290291291292293293293293294294294294294294294294293294293292292292292293292293294294294295294294294294294295295295295296295296296297297297296297298297297297297297296297297297296296295295295295294294294294293293293293293293292292292292292293293293293293293293293293292291291291290290290289289289289289288288288289288287287287287287287286287287286286286286286286286286286287287287287287287288287286286286286284283282280283286287288288288288287287287287287287286286287287287287287287287287286286286286287287288288288288288288288288288289289289289288288288288288288289289289289290290290289290290290290289289290289290289289288288288288288288288288287287287288287287287288288289289289290291291291291291290290290290290290290290289289288289289289289290291291291291291291291291291292292292292292292292292292292292292292292292292292292292292292292291292291291291290290290290290289289289289289289289289289289289289289290290290291291291290291290290290291290291291290290291290290290290289289289289288288289288288287287286286286286285285284285285284284285284284284285285285285285285285285285285285286286286286286286286286285285286285284285284285284284284284284283283283284284284284284285285285285285284284284284284284284285285285285285285285285286286286286286285285285286286286286286286286286286286286286286286286285286286285285285285285285285285286285285284283283283283283283283283283283283283283283282282282282282282281282281281281281281281281281281281280280281281281281281281282282282282282282282282281281281281280280280280279278278278277278278277277278278278278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289285284282282282281281280281282282283283284283283283284284284284284283284284284285285285285285286285285285285286286287287287287287287288287287287287288288289289290290291291291291291291291291291290290289289289289290290290290290291292291291293293294294294294294295295295294294294293293293293292293293293294294294294295294294294294294295296295295296296296296297297297297297298298297297297297297298297296297296296296295295295294294294294293293293293293293292293293293293293293293293293293294293292292291291290290289290289289289288288288288289288287287287287287286287286287286286286286286286286286286287287287287287287287287287286286285284283283282284286287288288288288287287288287287287288287287287287287287287288287286286287287287288288288288289288289288289289289290290289289288289289288288288289289289289290289289290291290290290290290289289289289288288289289288288288288288288288288288288288289290290290291291292292292292291291291291291291291291291291290289290290290290290291291291291291291291291292293292292292292292292292292292293292292292292292292292292292292292292292292291291291291291291291291290290290290290290289290290290290290291291291291291291291291291291291291291291291290290291291291290290289290289289289289288288288287287286286286286285286285285284284284284284284284285285285285285285286285285285285286285286286286286286286285285285285285285285285284285284284284284284284284285285285285285285285286286286285285285285285285285285285285285285285286286286287287286285285286286286286286286286286286286286286285286286286286286285285285285285285284285285285286285284284283283283283283283283283283283283283283283283282282282282281281282282281281281281281281281281281281281281282282282282282282282282282282282282281281281281280280280280279278278277277277277278277277278278278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290287285284282281281281280281281282283284284285285285285284284283284283283284285285284284285285286285286285285285285286286286287288288288288287287287287289289289290290291291291291290290291291291291290290289289289290290290290290291292293293292293294294294295294295295295295295294294294293293292292293293292293294294295294294293294295295295295295296296296295297297297297297298298298298297298297298297297297298297296296296296295294294294294294294293293293293293293293293293293293293293293293293293293292292291290289289289289288288288288288288288288287287287287287287287287287286286286286286286286286286287287287287287287287287287286286285284284284283284286287288288288288289288288288288288288288288288288288287288287288287287287288288288289289289289289289289289289290290290290289289290290289289289289289289290290290290290291291290290290290290289289289289289289289288289288288288288288289289289290290291290292292292293293293292292292292293292292292291291291291291290291291290291291291291291292291292292293293293293293292293293292292293293293293292292292292292292292292292292293292292292292292292292292292292291291291291291291291291291291291291291291291291291291292292292291291291291292291291290290291290290289289288289289288288288288288287287286286286286286285284284284284283284284284284285285286286286286285285285286286286286285286286286286286285285286286286285285284285284284284284284284285285285285285286286286287286286286286286285285285285285286285285286286286286286287287286286286286286286286286286287286286286286286285286286286286286285285285285285284284284284285286286285284283283283283283283283283283283283283283283283282282282281282282281282281281281281281281281281281281282282282282282282282282282282282282282282282281280280280280280280279278278278277277277277277277278278278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289287284283282281281280281281281282284285285285285285285284283283283283284284285284284283284284284286286286285285285285286286287287288288288287287287288289289289290291291291291291291291292291291291290290289290290290290290290290291292293294294294294294295294294295295295295294294294294293293292293293293293293294295295294295294294295295295295296296296296296297297297297297298298297297298298298298297297297297297296296296296296295295295294294294294294293293294294294294294294294294293293293293293293293293292291290289289289289288288288288288289289288287287287287287287287286286286286286286287287287287287287287287287287287287287286285284284284284284285287288288288289289289288288288288288288288288288288288288287288288288287288288289289290289290290289289290290290290290290290290290290289289289289289289289289289290290290290290290290290290290289289289289289289289289289289288288288289290290290290291291292292292293293293293293293293293293293293293292291291292291291291291291291291291291291292292293293293293294293293293293293293293293293293293293293292292292293293292292292292293292293292293292293293293293293292292292292292292292291291291291291291291291291292292292293292292292291291291291290290290290290290289289289289289289288288288287287286286286286285285285284284284284284284284285285285285286286286286286285285286286286286286286286285285286286286286285285285285285284285285285284284285285286286286286286287287287286287286286286285286286286286286286286286286287287287287287286285286286286286286286286286286286286286286286286286286286285285285285285284284284284284285286285284284283283284283283283283283283283283283282282282282282282282282282282282282282282282281282282282282282282283283283282282282282282282283282282282281280280280280280279279278278278277277278278278277278279278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291289286283282281281281280280281281282284285285286285285285285284284283284284284284285284283283284284285285286285285284285285286286287287288288288287287288289289290290290291291291291291291291292291291291290290289290290290290289290291292292293294294294294294294295295295295295295295294294293293292293293293292293294294294295295294295295295295296296296296296296297298298298298298298298297297298298297298297297298297296297296296296296295295295295295295294295294295294294294295294294294294294294294293293292292293293292290290289289288288288288288288289289288288287288288287287287287286286287286287288287287287287288287287287287287287287286285285285285285284286288288288288289289289289288288288289289289288289288288288288288289288288288289289290290290290290290289290290290290290290290290289289289289289290290290290289290289290290290290290290290290290290289289289289289289289289290289290290290290290291291291291292292293293293293294293293293293293293293293293292292292292291291291291291291292291292292293294294294293293293293293293293293293293293293293293293292292293293293292292292292292293293293293294294294294293293293293293293292292292291292291291292292291291291292292293292293292292291291291292291291291290290290290289289289289289289288288287287287286286286285285285285285285285285284284285285285285285286286286286286285286286286286286286286286286286286286285285285285285284285285285285284285285285286287287287287287287287287287287287287287286286287287287287287287287287287287287287286286285285286286286286286286286286286286286286286286286285285285285285284284284284284284285285286285284283284284284284284283283283283283283282282282282282281281282282282282282282282282282282283283283283283283283283283283283282282282283283283282281280280280280279279279278278278278278278278278278279279279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294289286282281280280280280280280281282284285285285285285285285285285284284284284284284285284283284284284285285285285285285285285286286287287287287288288288289289290290290290291291291291292292292292292291291290290290290291290290288290292292292293294294294294295294294295295295295295294294294293293292293293293293293294294294295295295295296295296296296297297297297297298298299298298298298298298298298298298298297297297296297297296296296296296295296295295295295295295295295295295294294294294294294294294294293293293292292291290289289289289289288288288289289288288287287288287287287287287287287287287288288288288288288288287287288288287287287286285285285285285287288289289289289289289289289289289289289289289289289289289288289289288288289289290290290290290290290290290290291291290290290289290290289290290290290290290290290290290290290291290290291290290290289289289289290290290290290290291291291290291291291292292292292293293293294294294294294293293293293293293293292292292292291291291291291292292292293293294294293293293293293293293293292293293293293293293293292293293293293293292292293293293293293293294294294294294293293293293293293292292292292292292292291291291292292292293293293293293292292291291291291291292291291291290290290290290290289288288288288287287286286286285285285286285286285285285285285285286286287287286286286286286286286286286286287286286286286286286285285285285285285285284285285285285286287287287288287288288288287287287287287287287287287287287287287287287287287287287286285285285285286286286286286286286286286286286286286286285285285284284284284284284284284284285285285284284284284283284284284283283283283283283282282282282282282282282282282282282283283283283283283283283283283283283283283283282282282283283282282281280280279279279279279279279278279279279279279279279279279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291289287284281280280279280281280281282284285285285285285285285285285285284284284284284284285284284284285284284285284284285286285286286287287287287287288288288289289290291291291291291291292292292292292292291291291291290290290291290999291292292293293294294294294295294294295295295295295294294293293293293293293293293294294294294294295295295295296296296296297297297298298299298299299299298298298298298298298298297297297297297297297297296296296296296296296296295296296296296296295295295294295294295295295295294294293293292292291291290289289289289289288288289289289288288288287287287287287287287287287288288288288288288288288288288287288287287288287287286286285286288288289289289289289289290289289289289289290290289290289289289289289289289289289289290291290291290290290291291291291291290290290290289290290290290290291290290291290290290290291291290290290290290290289289290290290290290291291291291291291291291291291292292292293293294294294294294294294294293294293293294293292291292291292292292292292292293293293293293293293293294294293293293293293293293293293293293293293293293293293293293293293293293293293293294294294294293293293294294293293292292292292292292292291291292292292293293294294293294293292292292292292292292292292292292292292291291290290289289288288287287286286286286286286286286286286286286286286286286286286287287286286286286286286286286286287286286286286285285284284284285285285284284285285286286286288287287288288288288288288288288288287287287287287287287287287287287287287287286285285285286286286286286286286286286286286286286286286285285285284284284284284284284284284284285285284284284284284284284284284284284283283282282282282282282282282282282283283283284284284283283283283283283283283283283283283283282282282282282282281280279279279279279279279279279279279279279279279279280279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291289286284281280280280280281281280282284285286285285285285285285285285285285285284284284284284284284284285285284284284285286287286286286286286287287287288288289289290291291291292292291292292292292292292292292291291291291291291291291291291290999293294294295294295295295294295295295295295294294294294293293293294293294295294294294294295295296295296296296297297297298297298299299300299299299299299299298298298298297297298297297297297296296296296297296296295296296296296296296296296295294294295295295295295295294294294293293292291291290290290289290289289289289289289288288288288288288288288287288288288288288288288288288288288288288288288287287288288287287287286285288289289289289289289290290289290290290290290290290290289289290290290289289289290289290290290291291291291291291291291291291290290290290290290290290291291291290290290290290290290291291291290290290291290291290290291291291291291291291291291291291291291291292293293294294294294295295295295294294294294294294293293292292292292292292292293293293293293293293293293293294293293293293293293293293293293293294294294294294293293293293293293293293293293293294294294294294294294294294293293293292292292292292292292292292292293293293294294294294294293293293293293293293293293293293293293292292291290290290289288288287287287286287286286286286286286287287286286286286286287287286286286286286286286286286287287287287286286285286285284284284284285285284285285286286287286287288288288288288288288288288288288287287288288287287287287287288288287287286285285285286285285285286286286286286286286285286286285285285284284284284284284284284284284285285285285284284284284284284284284284284283283283282282282282282282283283283283284284284284284283283283283283283283283283283283283283283282282282282282281280279279279279279279279279280280280280279280280280280279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296291999293999287286284281279279280280280281281282284284285285285285285285285285285285285285285284284284284284284284284285285285284284285286286287287286286287287287287288289289290291291291292292292292292293292292292293292292292292292291292292291291291290999999293294295295295295295295295295295295295295295294294294294293294294294294295294295295295295295295295297297297297298298299298299299300300299299299299299299298298298298297298297297297297297297296297297297297297296296296297296297296296295295295295295295295296296295294294294294293292292291290290290290290289289289289289289289290289288288288288288288288289289289288288288287288288288289288288288288287287287286287287285284288289289289289289290290290289290290290290290290290290290290290290290290289290290290290290290291291291290291291292292291291291291291290290290290290291291291291290290290290291291291291291291291290291291291291291291291291291291291291291291292291291291291292293293293294295295295295295295295295294294294294294293293293292292292292293293293293293293293293293293293293293293293293293293293293293293293293293294294294293293293293293293293293293293294294294294294294294294294294294293293292292293293293292292293292292293293294294294294294294294294294294294294294294294293294293293293293292291291291290290289289288288287287287287286287287287286287287287287286287287287286286286286286286285286286286286286287287286286286285284284284285286285284284285286285286287287288288288288289289288288289288288288288288288288288288288287287287287287286285285285285285285285285286286286286286286286286286285285285284284284284284284284284284285285285285285284284284284284284284284284284283283283283283283283283283283283283284284284284284284283283283283283283283283283283283283283283283282282283282281280279279279279279279279280280280280280280280280280280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292289289295999283282280279279279280280281282283284284285285285285285285285285285285286286286286285285285285284285285285285285285285285285286286287287287287287287287288288289289290291291292292292292292293293292292292293292292292292292292292292291289999999999999293295295295295295295295295295295295295295295295294294294294294295295295295296295295295295295296296296297298298297298299299299299299299299299299298298298298298298298297297297297297297297297297297297297297297297297297297297296297296296295295296296296296296297296295294295294293293292291291290290290290290289289289289290289288289288288289289289288288289289289289288288288288288289289289288288288288287287286286285285283287289289289290290290290291290291290291290291291291290291290290290290290290289290290291291291291291291291291292292292292292291291291291290291291291291291291292291291292291291291291291291291291290291292291291291291291291291291291291291292291291292291291292293293294294294295295295295295295295294294294294294294294293293292292292293293293293292293293293293293293293292293293293293293293293293293294294294294294293293293293293293293293293293293294294294293294293294294294293293293293292292292292292292292293293293294294294295295295294294294295295295295295295294294294294294293293293293292292292292291291290290289288288288287287287288288288288288288287288287287287287286286286286286286286286286286287286286286286286285285285284284284285285285285286286286287287287288288288288289288288288289288288288288288288288288288288287288287287287285285285285285285285285286286286286286286286286285285285285284284284284284284284284284284285285285285285285285284284284284284284284284283283283283283283283283284284284284284284284284284283283283283283283283283283283283283283283283282282282282281280280279279279279279280280279280280280280280281280281280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284283280279279279279279280281282284284285285285285285285285285285286286286287287286286286285285285285285285285285285285285285285285285286286287287287287288288289289290291292292292292292293293293293293293293293293292292292292292292292291290999999293293294295295295295295295295295295295295295295295295295295295295295294295295295295296296296295295296296297297297298298298299299299299300299300299299299298299298298297297298298298297297298297297298298297297298297297297298297296296296296297296296296296296296295295296295294294294294293292292291291290291290290290290289289290290289289289289289289289289289290289289289288288288289289289289289289288288288288287286286286286285287289289290290290291291291291291291291292291291290290290291290290290290290291291291291291291290291291291291292292293292292292292292291291292292292292291291292292291291291291291291292291291291291291291291291291291292291291291291291292292291292292291292292292293293294295295295295295295295295294294294294294294294294293293292292293293292293293293293292293293293292292292293293293293293293293294294294294294293293293293293293293293293293293293293293293293294294294294294293293293293292292292291292293293293294294295295295295295294295295295295295295295295295294294294295294294294294293293293293292292292291291291290290289289288288289289289289288288288288288288288287287287286287287287286286286286286287286287286286285285285285285285284285285285286286286286287288287288288288288288288288289288288288288288288288288287287287287287287286285285285285285285285285286286286286286286286286286285285285285284284284284284284285284284285285286286285285285285285285285284284284284284284283283283284284284284284284284284284284283283283283283283283283283283283283283283283283283283282282282281280279279279279279280280280280280280280280280281281281280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293999284283282280278278279279280282282284285285285285285285285285285286286287287287287287287287286286286286286286286286285285285285285286286286286286287287287287288288289290291291292292292292293293293293293293293292293293293293293293292291290290999999293294294295295295295295295295296295296296296295295295295295296295295295295296296296296297296296296296296296297297298298299299299299299299300300299299299299299299298298297297298298298297298298297298298298297298298298297297298297296296296297297297296296296297297296296296296294295294294294292292292292291291291291290290290289290290289289289289289290290290290289289289289289288288289289289289289289288288288288288287287287288288288289289290290290291291291291291292292292292292291291290290291290290290290291291291291291291291291291291292292293293293293292292293292292292292292292291291292291291291291291291291291291291291291291291291291291291291291291291291291291292292292292291292292293293293294294295295295295295295295295295295295294294294294294294293293293293293293293293293293292292292292292292293293293293293293294294295294294294294294294294294294293293293292293293293293293293294294294294294293293293292292292292292292292293294294295295295295295294294295295295295295295295295295295295294294294294294294294294293293293293293293293292292291291291290290290290290290289289289289289288288288288287287287287287287287287286286286287287286286285285285284285285285285285285286285286286287287287287288288288288288288288288288288288288287288287287287287287287287286285285285285285285284285286286286286286286286286286285285285285285284284284284284284284285285285285286286286285285285285285285284284284284284284284284284284284284284284284284284284283283283283283283283282283283283283283283283283283282282282282281280279279279279279280279280279279279279280280281281281280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293999282281279278278278279281281283284284284285285285285285286286287287288288288287287287286286285286286286286286286286286286286286286286286286287287287288288289290291291291292292292293293293293293293293293293292292292292293293293292291290290999294294295295295295295295295296295296296295296295296296295295295295295295295296296296296296296296296296297297298298298299299299299300300300300300301299300300300299299299298298298298298298298298298298298298298298298298297298298297298297297298297298298297297297297296297297296296295295294294294293292293293292291291291291291290290290290290289290290290290290290290290290289289289289289290290290290289289288289289288288287287288288288288289289290290291291291292291292292292292292292292291291291292291291291292292292291292291291291292291292292293293294293293293293293293293293293292292292292292291291291291291291292291291291291291291292292291291291291291291291291291291292292292292292292292293293293294294295295295295295295295295295295295295294294294294294293293293293293293293293293293292292292292292293293293293293293294294294295294294294294294294294294294293293293293293293294294294294294294294294293293293293292291292292292293293294294294295295295294295294295295295295295295295295295294295295295295294294294294294294293294294294293294293293292292292292292291292292291291291290290290290289290289289288288288287287287287287287287286286286286285285285285285284285285285285285285286286286287287287287288288288289289288288288288288288288287287287287287287287286287285285285285285284284284285285286286286286286286286286285285285285285284284284284284284285285285285285286286286286286286286285285285284284284285284285285284285285285285284284284284284283283283283283283283282283283283283283283283283282282282282282281280279279279279279279279279279279279280280280281281281280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290286283281280279279278279281282284284285285285285285286286286287287288288288288287286286286286286287287287287288287287287287287287287287287287288288289289290290291291291292292292293293293293293293293294293293293292292292292292292291291291999294294295295295295295295295295295295296296296296296296295295296296296295295296296296296296296296296297297297297298298298298299299300300300300300300300300300300300300299299299298298298298298298297298297298298298298298299298298298298298298297297297297297297297297297297297296296297296296295295294294293293293293292292292292291291290290290290290290290290291291291291290290290290289289290291290290290289289289289289289288288288288288289289289290290290291291293293292292292292292292293292291292292292292291291292292292292291292292292292292292292293293294293293293293294294293293293293292292292292292292291291291291292292292292292291291291292292292292291292291292292292292292292293292292292293293293293294294294295295296296296295296295295295295295295295294294294294293293293293293293293293293293293293293293293293294294294294294295295295295294294295294294294294294294294294293293293293294294294294294294293293292292292292292293293293294294294295295295295294294295295295295295295295295295295295294295295295295295294294294294294294294294294294294294293294293293293292293293292292292292291291290291291291290289289288288288288288287287287287286286285286285285285284285285285285285285285285286286286287287287288288288288288288289288288288287287287287287287287287287286286285285284285284284284284285285286286286286287287286286286285285285285284284284285284284285285285285285286286286286286286286285285285285285285285285285285285285285285284284284284283283283283283283283282282282283282282283282282282282282282282282281280280280279279280280280280279279280280280280281281281280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291289285282281280280279280281283284284285285285286286286286286286287288288288287286286286286287287287288288289289289289289289289289289289290290290289290290290290291292292292292292293293293293293293293293294294293293293293293293292291292293293999294295296295295295295295295295295296296296296296296296296295296295296296296296296296296296297297296297297297298298299299299300300300301300301301301300301300300300300299299299299299298298298298298298298298298298299299299298298298298298298299298298297298298298298298297297297296296296296296295295294294294294294293294293293292291291291291291290291291291291291291291291290290290289290290291291290290290290290289289289289288288288289289289289290290290291292292292292292292292292292293293293293293293293292292292292292292292292292292292292293293293293293293293294294293294294294294293293292292293292292292292292292292292292292292292292291291292291291291292292292292292292292292292292293293293293294294294294295295296296296296295296296295295295295295295294294294294294294293294294294293293293293294294294293293294294294295295295295295295295295295295294294294294294294294294294294293294294294294294294293293293293293293293293294294294294295295295295295295294294295295294294295295295295295295295294295295295295295295294294294294294294295295295294294294294294293293293294293293293293293292292291292292291291291290289288288288287287287287287287286285286286285285285285285285285285285286286286286286287287287288288288288288288289288287287287287287287287287287287286286285285285284285284284284284285285285286286287287287286286286285285285285285285284285284284285285285285285286286286286286286285285285285285285285285285285285285285284284284284284283283283283283282283283282282282282282282282282282282282282282282282282281280280280280280280280280280280280280281281281281281281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292289285282281280279280280282284284285285286286287287286286286287287288287287286285286287287288288288288288289290290290291290290290290291291291291290291291291291292292293293293293293293293293293293293294294294294293294294294294294294295294295295295296296296295295295296295295295295295296296296296296296296296296296296296297297296297297297297297297297297298298299299300300300300301301301300301301301300300299299299298298298298298298299298298298299299298298299299299299298298299298299298298298298298298298298298298298297296296296296296295295295294294295294294294295294294293292292292292291292292292292292292291291291291290290291291291291291290290290290289289289289288288289289289289290290290291291291292292292292292293293292293293294295293292293293292292292292292292292292292292293293293293293294294294294294294294294294294294293293293293293293293292293293293292292292292292292292291292291292292291292292292292293292292292292293293293293294294294294295295295296296296296296296295295295295295295295295295294294295294294295295294294294294294295294294294294294294295295296296296296295295295295295294294294294294294294294294294294294294294294294293293293293294294294294294294294295295295295295295294294294294294294294294294294294295295295294294294294294294294294294294294294294295295295295294295295294294294293293293293293293293293292292292293292292292291290289288288288288287287287287286286286286285285285286285286285286286286286286286286287287287287288288288288288288288287287287287287287287287287287286286285285285285285285284284284284285285286286287287287287286286285285285285285284284284284284285285285285285286286285286285285285285285285285285285285285285284284284284284284283283283283283283282282282283282282282282282282282282282282282282282282282282281281280280280280280280280280281280280280281281281281281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287284281281280280280281283284284285286287287287286286287286286287286286285285285286287288288288288288289290291291291291291291291291291291291291291291291292292292293293293293294294293293293293294294294294294294294294294295295295295295296296296296296296296296295296296296296296296296296296296296296296296297297297297297297298297297297297297297297297297298299299300301301301301301301301301301300300300299300299299299299299299298298298299299299299298298299299299300299299299300298298298298298298298298298298298298298297298297296296296297296296296295295295295294295294294294294293293293293293292293293293293292292291290291292292291291291291290290291290290290290290289288288289289289289290291291291291292292292292293293293293293293294294294293293292292292292292293293292292293293293294294294294293294295295294294295295294294294294294293293293293293293293293293293292292292292292292292292292291292292292292292292293293293292292293293294294294294294295295295296296296296296296296296296296296296296295295295295295295295295295295294294295295294295294294295295295295295296297297296296296295295294294295295294294294294294294294294294294294294293293293293293294294294294295295295294295295295296296295295294294294294293294294294294294294294294294294294294293293293293293293294293294294294295295295295294295294294293294293293294293294294293293293293292292291291291290289288288288288287287287287286286286286286285285286286286286286286286286287287287287287287288288288288288287287287287286286286287286286287286286286285284285284285285284284284285285285286286287287287287287286285285285285285285285285284285285285285285285285285285285285285285285285285285285285284285285284284284284283283283283283283283283283283283283282282282282282282282282282282282282282282282282281281281281281281281280281280281281281281281281281281281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288286284283282281281281282283284284285286287287286286286287286286285285285285285285286287288288288288289290291291291291291291291291291291291292292292292292292292293293293293294294294293293293294294294294294294294294295295296296296296296296296296296296296296296296296296296296296296296297296297296296297297297298298298298298297298298297298298298297298297299299299300300301301300301301301301300300300300299299299299299299299299299298298299299299299299299299299299299299299299299299299298298298299298298299299299298298298298298297297296297297297296296295295295295295295295295295294294294294294294294294294294293292292292291292292292292292291291291291290290290290290289288289289289289290290291291292292293293292292293293294293293294294294294293293293292293292293293293292293293293294294294295295295295295295295295295295295294294294294294294293294294294293293293293293293293292292292292292292292292292292292292292293293293292292293293293294294294295295295295296296296297296296296296296296296296296295295295295295295294295295295295295295295295295295295295295295295296297297297296296295295295295295294295295294294295295295294294294294294293293293293293294294295295295295295295295295295295295296295295294294294294293293294294294294294293293293293293293293293293293293292293293293294293294294295295294295294294293293294294294294294293293293293293292291291291291290290289288287288288287287287287286286286286286285286285286286286286286287287287287286287287288287287288287287287287287286286286286286287286286286285285284284285285284284284284285285286286287287287287287287287286285285285285285285285285285285285285285285285285285285285285285285285285285285285284285284284284284283283283283283283283283283283283283282282282283282283282282282282282282282282282282282281281281281281281281281281280281281281280281281281281281280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287286285284283282282282283283284284286287288287287286287287286285285285285284284286287286287288288289290291291292291291290291291292292292292292292292292293293293293294294294294294294294294294294294295294294294295295296296296296296296296296296296296296296296296296297296296296296296296296296297297297297297297297298298298298298298297298298298298298298298299300300300300300301300301301301301301300300300300299299299299299299298298299299299299299299299299299299299299299299298299299299299299299298298299299299299298298298298298297297297297297297296294294294294295295295295296296296294294295295295294294294294293292293292293293292292292292292291291291290290290290290289289289289290290290290291292292293293293293294294295294295294294294294294294293292293293293293293293293294293294294294294295295295296296296296295295295295295295294294295294294294294294294294293294293293293293293293293293293292292292291292292292294293293293293293293293294294294295295295295296296296296296296296296296296296296296296296295295295295295295295295295295295295295295295295295295296296297297297297296296296295295295295295295295295295295294294294294293293293293293293293294294294294295295295295296295295295295295295295295294294293293294293293294294294294293293293293293293292292292293293293293293293293293294294294295294294295294294294294294294293294293293293293292292291291290291291290290289289288288287287287287286286286286286286286286286286286286287287287287287287287286287287288287287287287287287286287286286286286286286286285285284285285285284284284284285285286286287287287287287287287286286285285285285284285285285285285285285285285285285285285285285285285285285285285284284284284284284284284284283283283283283283283283283283283283282282282282282282282282282282282282282282281281281281281281281281281281281281281281281281280280280281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289287286285284284284283283284284284285286287287287287287287286285285284284282283284285285285286288289290291292292292292292292292292292292292293292292293293293293294294294294294295294294294294294294295295295295295295295296296296296296296296296296296296296296296297297297297296297297297296296296296297297297297298298298298298298298298298298298298298299299299299300300300300300301300301301301300301300300299299299299299299299299299299299299299299299298298299299299299299300299299299299299300299299299299299299299299298298298298298298298298297297295295294295294294295294294295296295296295296296296295294295295294293293293293294293292292292292292291291291290290290290290289289289289290290290291292292293293293294294295295295295295295295294294293293293293292292292292293293293294294293294295295295296296296296296296296295295295295295295294294293294294295294294294294294294294293294294294293293293293293292293292293293293293293293293293293294294294295295295295296296296296296296297296297296296296296296296296296296296296296296296295295296295295295295295295296296297297297297297297296296296295295295295295295295295295294294294293293294293293293293293294294294294294295295295295295295296295295295295294294294293293293293293293293293293293293293293293292292292292292292292292293293293293293294294294294294294294294294294294293293293293293292292292292292291291291291291290290289289289288288287287287287287287286286286285286286286286287287287288288287287287287287287287287287287287287287286286287287286286287287286285285285285284284284284284285285285286287287287288288288288287287286285286285285285285285285285285285285285285285285285285285285285285284285284284284284284284283283283284283283283283283283283283283283283282282282283282282282282282282282282282282282282282281281282282281281281281281281281281281281281281280280281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291287999285284284284284284284283284285286287287288287287287286285285284283282282283283284285286288289291292292292292292292292292292292293293292293293293294294294295295295295295295294294294294295295295295295295295295295295295295295295296296296296296296296296296297297296296296297297297297296297297297297297298298298298298298298298298298298298299298298298299299299300300300301300300301301301301300300299299299299299299300299299299299299299299299299299299299299299299299300299299299299300300299299299299299299299299299299298298298298298297296296295295295295295295295294294295295295296296297297296295295296295294294294295294293293292293293293293292291290290290290289289289289290289290290291291292293293293294294294295295295295295295296295293293293293294293292293292293293293294295294295294295295295296295296296295296296295295295295295295294294294294294295295294293294295295295294294294294293293293293292293293293293293293293293293294293294294295295295295295295296296296296296296296296296296296296296296296296296296296296296296296296296295296296296296296296297297297297296297296296295295295295294294294295294294294294294294293293293293293293293294294295295295295295295296295295295295295295295295294294293293293293293293293293293293293292292293293292292292292292292292292293294294294293294294294294294294294294294293293293293293293293292292292292292291291290290290290290289289289289289288288288287287287287287287286286286286286287287287287287287286287287287287288288287287287287287287287287287287287287287286285285285285285284284284284285285286287287287287288288288288287287286286286285285284284285285285285285285285285285285285285285285285285284284284284284284284284283283283283283283283283283283283283283283283283282282282282282282282282282282282282282282282282282282282282281282281281281281281281281281281281280280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293295297999287999285285285284284284284283284285286287288288287287287286286286284283282281283283285285287289291291292292292292292293293293293293293293293293294294295295295295295295295295295295295294294295295295295295295295295295295295295294295295295296296296296296296296296297297296296297297297297296296297297297297297298298298298298298298298298298299299299299298299299300300300300300300300300300300300300300299299299299299299299299299299299299299299299299299299299299299299299299299299299299300300299299299299299299298299299298299298297297297297296296296296296296296296295295295295295295296296296297296295296295295295295295295294293293293293293292292291291290290290290289289289289290290290290291291292293293294294295295295295295295295294294295294293293293293293293292292293293293294294294294294295295295295295296296296296295295295295295295295294295294295295295295295294295295294294294295294294294294293293293293293293293293293293293293294294294294294295295295295295296296296296297296296296296296296296296296296296297297297297296296296296296296296297296296297297296297296297297297297296295295295294294295295294294294294294294294294294294294294294294294294294295295295295295296296295295296296295295295294294294293293293293293293293293293293293293292293293293293293293292293293294293294294294294294294294294294294295293293293293293293293292292292292291291291291290291290290290289289289289289288288288288288288287287287287287287287287287287287287287286287287287288288288288288288288288287287287287287287287287287286285285285285285284284285285285285287287287287287288287288287287287287286286285285284284284284285285285285285285285285285285285285285285284284284284284284284284283283284284283284283283283283283283283283283283283283283283282282282282282282282282282282282282282282282282282281281281281281281281280281281280280280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292293292289287286285285285284284284284283284285287287288288288287286285285285284283282282283284285286288290291292292292292292293293293293293293293293293294294295296296295295295296296295296295295295295295295295295295295295295295295294294294294295295296296296296296296296296297297296296297297297296296296297297297297297298298298298299298298298298298299299299299299299299300300300300300300300300300300300299299300299299299299299299299299299299299300300300299299299299299299299299299299299299300300300299299299299298298298298299299299298298297298297296296295296297297297295295295295295295296296296297297295294295295295295295295295294294293293293293293292292291291290291291289289289289290290290290290292292293294294294295295295295295295295295293293294294293293293293293292293293293294294294293294294294295294295295296296296295296296296295295295295295295295295296296296295295295295295295295295295295295294294293293293293293293293293293293293294294295294295295295295295295296296296296296296296296296296296296297296296297296296297297297296297297296297297297297297297297297296297297296296296296295295295294293294294293293294294294294294294294294294294294294294294295295295295295295295296296295295295295295295294294294293293293293293293294293294294293293293293293293293293293293293293294294294294294295294294294294295295294294293293293293293293292292291291290290290290290290290289290289289289289289289288288288288288287287287287287287287287287287286286287287287287287288288288287287288288288287287287287288288287287286286285285285285285285285285286286286286287287287287288288287287287287286287286285284284284284285285285285285285285285285285285285285285285285284284284284284284284284284284284283284284284284283283283283283283283283283283283283282282282282282282282282282282282282282282281281281281281281280280280280280280280280280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296293999999290289287286286285284284284284284284284285286287288289289288288286999281282284283283283284286287288290290292292292292292292293293293293293293293294294294295295296296296296296296296296296296295295295295296295295295295295295295295295295294294294295296296296296296296296296296297297296297297297297297297297297297298297297298298298299299299299298298299299299299299299299299300300300299300300300300300300300300300300299299299299299299299299299300300300300300300299299299299299299299300299299299299299299299299298298299298298299299298298298298297298297297297296297296296295296295295295296295296296296295294295295295296295295295295295294293293293293293293292291291291291291289289289289290290290290291292293294294294294295295295296295295294295293293293293293293293293293293293293293294293294294294294295295295295296295296296296296297296296296296296295295295295296296296296296295296295295296295295295295295294294293293293294293293294293294294294294294295295295295295295295296296296296296296296296296296296296296296296297297297297297297296297297297298297297297297297297297297297297296296296296295295295294294294294294294294294294294294294294294294294294294295295295295295296296296296296296295295295295295294294294293293293293294294294294294294294294293293293293293293293294294293294295295295295295295295295295294294294294293293292293293292292292291291290290289289289289289289289288289289289289288289289288288288288288287287287287287287286287287286287287287287287287288288288288288288288288287287287288287288288287287286286285285285286286286286286286287287287287288288288288287287287287287287285285284285284285285285285285285285285285285285285285285285285285285285284284284284284284284284284283284284284283283283283283283283283283283283283283282282282282282282282282282282282282281281281281281280280280280280280280280279280280280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291290290289288288286286286284283283284284284284285285286288290290289289999999999999999999281283283285287288290291292292292292292292292292293293293293293293294295295295296296296296296296296295295296296296296296296296295295295295295295295295295295295294294295295296296296296296296296296296297297297297297297297297297297297298298298298298298298298299298299298299299299299299299299300300300299300300300300300301301300300300300299299298299299299299299299299300300300300300300299299300300299299299300300300299299299299299298298298298298298298298298298298299298298297297297297297297296296296296296296296296296295295294295295295295295295295295295294293292292292292292292291291291291290290289289290290290290291292292293294294294295295295295295295296295296295295293293293293293293293293294294294294294294295294295295295296296296296296296296296297297296296296296297296296296296296296296296296296295296296295295295295294294294294294293293293293293294294294294295294295295295295295295296296296296296296296296296296296296297296296297297297297297297297297297297298297297297297297297297297297296297296296296296296295295295294294294294294294294294294294294295294295294294295295295295296296296296296296296296295295295295295294294293293293293294293294294294294294294294294293293293294294293294294294294294294295295295295295294294294294293293293292292292292292291291290290290290289289289289289289289288289289288288288288288288288287287287287287287287287289287287287287287287287287287287287288288288288288289288288288288288288288288288287287286286286286286287287287287287287287287287288288288288287288288287287286286285285285285285285285285285285285285285285285285285285285285285285285285285284284284284284284284284283284283283283283283283283283283283283283283283283283283283283282283282282282282281281281280280280279280280280279279279279279279280279279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290286288288287287286285285283283283283284284284284285286289291291999999999999999999999999279281283285288290291292293293292293292292292292293293293293293294295295295296297297296296297296296295295296296296296296296296296296296295295295295295295295295295295295295295296296296296296296296297297297297297297297297297297297298298298298298298298298299299299299299299299299299299299300300301300300300298299299298300300300300300300299299299300299299299299299300300300300300300300300299299300299300299300299300299299299299299299298298298299298298298298299299299298298298298297297297297296296296297296297297296295295295295295296296296296296295295295294293292293293293293292291292291291290290290290290290290291291292293294294294295295295295296296296295295295295294293294293293292293294294294294294294295295294295295296296296296297296296296297297297296297297296297297297297296296297297297297297297296296296295295295295294294294294294294294293293294294294294294295295295295296295296296296296296296296296296296296296296296297296296297297296297297297297297297298297297297297297297297297297296296296296296296296295295295294294294295295295295294295295295294294295295295294295295295295295295296296296296296296296295295295294294294293293294294294294294294294294294294294294293293294294294294294294294294294294294294295295295294294294294293293293292292291291291291290290290290290290289289289289289289288288288288288288288288288288288287288288287288287287288288287287287287287287288288288288288288287288288288288288288288288288288288287287287287287287287287287288287287287287287287287288288288288287287287287287286286285285285285285285285285285285285285285285285285285285285285285285285285285285285285284284284284284284284284283283283283283283283283283283283283283283283283283283283283283283282282281281280280279279279279279279279279278279279279279279279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287286287287286285285284284283282283283283283284283285288291293999999999999999999999999999280281284287290292293293293293292293292292292292293293293294294295295295296297297297296296296297296295295295296296296296296296296296296295295295295295295295295295295295295295295295296296296296296297297297297297297297297297297297297298298298298298298298298298299299299300299299299299299300300300300300298298298300301301300300300300300300300300299299300300299299299300300300299300300300300300300301300299299299299299299299299299299299299299298298298298299299299299299298298298298297298297297297297297297297296296295296296296296297296296296296295295295295294293293292292292292292292292291291290291290290290290291292293293294295294296295294295295295295295295295295294294294293293293293294294294294294294295295295295295297297296296297296296296297297297297296297297297297298297297297296297296297296296296296295295295296295295294294294294294294294294293293294294294295295295295296296296296296296296296296296296296296296296296296296296296297297297297297297297297297297297297297296297297297296296296296296296296296296295295295295295295295295295295295295294294295295295295295295295295295295295296296295296296296295295295294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294292292291291291291291291291290290290290290290290290290290289289290288288288288288288288288288288287287287288288288287287288287287287288287287287288287287287287288288288288288288288288288289288288287287287287287288288288288287287287287287287287287287287288288287287287287286286285285285285285285285285285285285285285285285285285285285285285285285285285285285285285285284284284284284284283283283283283283283283283283283283283283283283283283283283283282282282280280280279279279279279278279279279279279279279279279279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289286285286287286285284284283283283282282283282283283283284287290293293999999999999999999999999282280283287290292292293293294293293292293293293293293293293294295295296296297297297297296296297298296296295296296296296296296296296296296296296296295295295295295295295295295295295296296296296296296296297297297297297297297297297297297298298298298298298298298298299299300300300300299299300299299299299298300300300300300300300300300300300300300300300300300300300300300300300300300300300300300300300300300299299299299299299299299299299298299299299299299299299299299299299299298298298298297297297297297297296298297295295296296296296296297297297297295295295295294293293292292292292291292291291291291291291291291291293293293294295294295295295295295295295295295295295294294294294293293294294294294294294294294294295295294296296297296296296297297297296297297297297297297297296297297297298297297297297296296296296296295295295295295295295295294294294294294294294294294294295295295296296296296296296296296296296296296296296296296296296296296296296296297297297297297297297297297297297297297297297296296296296296296296296296295295296296296295296296296295295295294295295295295295295295295295295295295295296296296296296296296295295295294294294294294294294294294294295295295295295295294294294294294294294294294294294294294294294294294294293293294292292291291291291291291291291291291291290290290289289289289289288288288288288288288288288288288288287287287287288288288287287287287287287287287287287287287287287287288288288288288288288288289288288288288288288288288288288288288287287287287287287287287287287288287287287287287286286285285285285285285285285285285285285285285285285285285285285285285285285285285285285285284284285285284284283283283283283283283283283283283283283283283283283283283283283282282282280280279279279278278278278278278278279278278279279279279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287286286286284283283283283282282282283283283282283284285289292293999999999999999999999999999283284288291292293293294294293294293292292293293293293293294295295296296296297298298297296297298298297999999296296297297297297297297297296296296296296296296296296295295295296296295296296296296296297297297297297297297297297297297297298298298298298298299299299299299300300300300299299299300299299299298298299298300300300300300300300300300300300300300300300300300300300300301301300300300300300300300300299299299299299299299299299299299299299299299299299299299299300299299298298297298298297297298297297296296298297296296296296296296296296297296296296295295294294294293293293292293292292291291291292291291292292292293292294294294295295295295294295294295294295295295294294294294293293294294294294295294295295295295295295295296297296296297297297298298297296297297297297297297297297297298297298297297297297296296297296296296296295295295295294294295294294294294294295295295295296296296296296297296296296296296296296296296296296296296296296296296297297297297297297297297297297297297297297297297297297297297297297297296296296296296296296296296296296295295295295295295295295295295295295295295296296296296296296296296296296295295294294294294294294293294294294294295295295295295295294294294294294294294294294294294293293294294294294293293292293291292292292292292291291291291291290290290290290290289289289289288288288288288288288288288288288288287287287287288288288288287287287287287287287287287287287287287287288288288288289289288288288289289288288288288288289288288288288287288287287287287287287287287287287287287287287286285285285285285285285285285285285285285285285285285285285285285285285285285285285285285285284284284285284284284283283283283283283283283283283283283283283283283283284283283282282281280280279279279279278278278278278279279279279279279279279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286286285284283283283283283283283283283284283283284285288292293999999999999999999999999999999999287291293293294293294294294294293293293293293293294294295295295296296296297298298297297298299299298298298297297298298298298298298297297297296296296296296296296296296296296296296295295295296296297297297297297297297297298297298298298298298298299299299300299300300300299300300299299299299299299299299299299299300300300300301300300300300300299300300300300300300300300300300300300300300300300300299299299299299299299299299299299299300299299299300300300300300299300300299299298298299299298298298296297297297296296296297296296296296296297297296295295296295295294294294293293293292292293292292292293293292293293294294294295295295295296295295294294294295295295296295294294294294294294294295295295295295294295295295295295295295296297297298298299299299298297298297297297297298298298299298298298298298298297297296296296296296296296295296295295295295294295294295295295295295296296296296296297297296296297296296296296296296296296296296296296296297297297297297297297297297297297297297297297297297296296297297296297297296296296296296296296296296296295295295295295295295295295295295295296295295296296296296296296296296295295295295294294294294294295294294294294294295295295294295295294294294294294294294294294294294293293293293293293293293293292292292292292292292292291292291291291290290290290290290290289289289289289289289289289289289288288288288287287287288288288288288288287287287287287287286286287287287287288288288288289289289288288289289289289288289289289288288288287287287287287287287287287287287287287287287287287287286285285285285285285285285285285285285285285285285285285285285285285285285285285285285285285285285284285285284284284283283283283283283283283283283283283283283283283282282281281280280280279279279278278278278278278278278279279279279279279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999308306298292290288286286284284283283283283284284284284284284284284285286288291294999999999999999999999999999999999999291293294294294294294294293294293293293293293294294295295295296296296295297298298298299299299299299299299298298298298299299299298298298298297297296296296296296296296296296296296295295295296296297297297297297297298298298298298298298298298298299299299299299299299299300300300299299299299299299299299299300299299299301300300300300301300300299299299299300300300300300301300301300300300300300300300299299299299299299299299299299299299299299299300300301301301301301299299299299299298298299298297297297297297296296296296296297296296296297297296296296295295295295294294293293292293293293293293293294293293294294294295295295295295295296296296295294294295295296295295294294294295295295295295295295295295295295295295295296295296297298298298299299299299299298298298297298298298299299299299299299299298298297298297297297295296296296296295295295295295295295295295296296296296296296296296296297296296297297296296296296296296296296296296296296296297297296297298298297297297297297297297297296296296296296297297296297297297296296296296296296296296296296295295295295295295295295295295295296295296296296296296296296296296295295295295295295294294294294294294294295295295295295295295295294294294295294295295294294294293293293293293293292292293293292292292292292293292292292291291291291291290291290290290290289289289289289289289289289288288288288288288288288288288288288288288288288287288287287287286286287287287287287288288289289289289289289289289289289289289288289288288287287287287287287287287287287287287287287287287287287287286285285285285285285285285285285285285284285285285284285285285285285285285285285285285285285285285285285284284284284284283283283283283283283283283283283283283283283283282281280280280280279279279278279279278278278278279279278279279279279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305302298296291287286286285284283283283283284284285286286285285285285286287291294999999999999999999999999999999999999291293294295295294294294294294294293293293293294294295295294295296296295297297298298299299299299299299299299299299299299299299299299299298298298297297296296296297296296297297297296295296295295296297297297297297298298298298298298298298298298298298298299299300299299299300300299299299299299299299299299299299298299299301300300300301301300299299299299299300300300300301300300301300300300299299299299299299299298298299298298299299298299299300300301301302301301301300300301300300299300299299298297297297297297297296297296296296296296296297296296296295295295294295295295294294293294294293294294293294294294294294295295295295296295296296296295296295295295295296295295295294295295295295295295295295295296296295296296296296296297297298298299299299299300300298298299298299298298298299298298299299299299298298298297297297297297296296296296295295295295295295295295295296297296296297297297296297296296296297296296296296296296296296295296296296296296296296297297297297297297297297297297296296296296296297296297297297297297296297296296296296296296296296296295295295295295295295295295296296296296296296296296296296296296296295295295295295294294295294294294294294294295295295295295295295295294294294294295294294294293294293293293293292292292292292292292292292292292291291291291291290291291290290290290290290290290290289290289289289289289288288288288288288288287288289289289288288288287287287286286286286287287287287287288289289289289289289289289289289289289289288288287287287287287286287287287287287287287287287287287287287287286286285285285285285285285285285285284285285285284284285285284284285284285284285285285285285285285284285284284284284284283283283283284284283283283283282282282282282282281280280280280279279279279278278278278278278278278278279279279279278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298295294291287286285284283283283284284284285285286287286286286287287289294295999999999999999999999999999999999999293295295295295295295295294295295294294294293294294295294295999296296999999297298298299299299299299299299299299299299299299299299299299299299298298298298297297297297297297297297297296296295295296296297298297298298298298299299298298298299299298299299299299300299299300300300300299299299299299299299299299299299300300300300300300300301300300299299299299300300301301301301301301301300300300299299299298299299299298299299299299299299299300300301301301302302302302301302301301301300300300298298298297297297297297296297296296296297296296296296296296295295295294293294293293293294294294294294294293294294295294295296296296295295295296296296296296295294296296296296295295295295295296295295296296296296297296296296296296296296297297298299299299300301301300299299299299298298299299299299299299300299298298299298298298298297297297297296296296295295295295295296296296296297297297297297297297297297297297297297296296296296296296295296296296296296296297297297298298297297297297297297297296296296296296296297297296297297297297297296296296296296296296296296296296295295295295295295295295295296296296296296296296296296296296295295295295294294294294294294294295295295295295295294294294295295294294294294294294294294294293293293292292292292292292292292292292291291292291291291291291290291291291290290290289289290290290290290289289289289289288288288288288288288289289289289289289288287287286287286287286286286287287287287288289289289289289289290289289289289289289288287287287287287287287287287287287287287287287287287287287287287286285285285285285285285285285285285284285285285285285285284284284284284284284284284285285285284284284285284284284284284283283283283284283283283283282282282281281281280280280279279279279279279279278278278278278278278278278279279279279279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291291288285284283283283283283284284284286287286288288288288288288292297999999999999999999999999999999999999293295295295296295295295295295295295295294294294294295295295296296296296297297297298298298298299299298299299299299299299299299299299299298299299299299299299298298297297297297297297297296296296296296296297297298298298298299299299299299299299299299299299299300299299299300300300299299299299299299299299299299299300300300300301300300300300300300299299300299299300301301301301301301300300300299300299299298299298298298298300299299299299300300300301301302302303302302303302302301301300299299300299298297297297297297297297297297297297297296296296296295295294293294293293293293293294294294294294294293294294295295295295297296295296295297296296296296294295296296296296294295295295296296296295295296296297297297296296296296296297298298298299300299299300301301300300299299299299299299299299299299299299299298298298297298298297297297297297296296296296296296296296296297297297297297297297297297297297297297296296296296296296296296295296296296296296297297297297298298298297297297297297297296296296296296297297296297297296296297296296296296295296296296296296296296296295295295296296296295295295296296296296295296296296295295295295294294294294295295294295295295295295295295295295294294294295294294294294295295294294293293293292292292292291291292292292292292291292292292291291291290291291290291291290290290290290290290290290290290289289289288288288289288289289289288289289289288288287287286287287286286286286287287287287288288288288288288289289289289289288288288287287287287287287286287287287287287287287287287287287287287287287287286285285285285285285285285284285285285285285285285285285284284284284284284284284284285284284284284284284284284283284283283283283283283283283283282282282281281280280279279279279279279279279279279279279278278279278278278279279279279278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293290288286284284283283283283283283284284284286288290290290290289289290296299999999999999999999999999999999999999294295296296296296295295295295295295295295295295295295296296297297297297298297297297298298298298298299299299298298299299299299299299299299299299299299299299299299298297298297297297297297297296296296296297298298298298299299299299299299299299299299299300300299300299299299300299299299299299299299299299299299299300300300300300300300300300300300300300300300300300300301300300300300300300300300300299299299298299298298299299298298299299299300299301301302302303303302302302302302301300299298298297297296297296296296296297297297297297297296297296295295295294294294294294294293293293293294294294294294294295295295296296296297296296297297296296296295294295296297296296293294294295296296295294295296296297297298297296297296296297298298299299300300300301301302301300300299299300299300299299299299299299298298298298298297297297298298297297297297296296297296297297297297297297297297297297297297297297297297296296296296296296296296296296296296296296297297297297298298297297297297296297296297296296296296297296296296297296296296296295296296296296296297296296296296296296296296296296296296295296295296295295295295295295295295295294294294294294294294295295295295295295295295294294294295295295294294295295295294294294294294293293292292292292292292292292292292292292292291291291291290291291290291290291291290290290290290290290290289290289289288289288288288288289289289289289289288288287287287286287286287286286286286286287287287288288288288289289289289288288288287287287287287287287286286287287287287287287287287287287287286287287286286285285285285285285284284284284284285284284284284284284284284284284284284284284284284284284284284284284284283284284283283283283283283283283282282282281281280280280279279279279279279279279279279279279279278278278279279279278279278278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290288286285285284284283283283283283284284284284287292294293291290290293298999999999999999999999999999999999999292295295295296296296295295295295295295295295295296296296296296296297297297297297297297298298298298298299299299298298299299300299299299299299299299299299299299300300299298298298297297297297297297296296296297297298298298298299299299299299298299299299299300300299299299299299299299299299300299299299299299299299299299298299299299300300300300300300300300300300301300300300301301300300300300300300299299299299297298298298298298298299299299299299300300301301303302303303301301301301301299299299298298297297297296296296297297297297297297296296296296295295294294294294294294294293293293293293293294294294295294294296296296297296297297297297297297296296295296296296296296295293294294295295295295295296296297297297297296297296298298298299300300300300300301301301301301300300300300300300299299299299299299299298298298298297297297297297297297296297296296297297297297297297297297297297297297297297297297297297296296296296296296296295296296296296297297297297297297297298298297297297296297296297296296296296296296297296297296296296296296295296296296296296296296296296296296296296296296296296296295296296296295295295295295295295295294294294294294294294295295295295295295295295295295294294294294294295295294295295295295294294294293293292293292292292292292292292292292292292291291291290291291291291291291291291290290289290290290290290290290289289289289288289289289289289289288289288288287287287287287287287287286286286286287287287287287287287288289288288288288288287287287287287287287286286286287287287287287287287287287286286287287286286285285285285285285285285285285285285285285285285285285284284284284284284284284285285285284284284284284284284284284284283283283283283283282282282281281280280280280279279279279279279279279278279279279279279278278278278278278278278278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294287287286286286286286285283283283284284283283283283285291295295293291293296999999999999999999999999999999999999999294295295295295296295295295296296296296296296296296296296296297297297297297297297298297298298298298299298299298299299299299299299299300300300299300300300300300300300299299298298298298297297297297297297297297298298298299299299299299299299299299299299300300300300299299300299300300299299299299299299299299299299298299298299299299299300300300300300300300300300301300300300300300299299299300299299299299299299298298298297298298298298298300299299300299301301302302303301301301301301300300300299299298298298297297297296297297297297297297296296295295295294294294294293293293293293292293293293293294294294295295295296296296297297297297297297297297296296296296296297296295295293293294294295295295295296296297297297297297296297297298298299299300300301301301302302302302301301300300300301300300300300300300299299298298298298298298298298297297297297297297297297297297298298298298298298298297297297297297297297297297296296297296296296296297297297297297297297298297297298297297297297296296296296297296296297296296297297297296296296296296295296296296296296296296296296296296296296296296296296296295295295295296295295295295295295295295294294294294294294294294294295295295295295295294294294294294294294295295295295294295294294294294293292292292292292292292292292292292292292291291291291291291291291291292291290290290289290290290290290289289289289289288287289289289289289289288288288287287287286287286286286286286286286286286286287287287287287288288288288288288288287287287287287287287287287287287287287287287287287287287287287287287287286286286285285285285285285285285285285285285285285285285284284284284284284284285285285285284284284284283284283284284284284283283283283282282282282281280280280280279279279279279279279279279279279279279279278279278278278278278278278278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298285285285284284284285286286285284284284284284283282283283284288295297294292296297999999999999999999999999999999999999999294295295295296295296296296295296296296296296296296296297296297297296296297297297297297297297298298298298298298298298299299299300300300300300299300300300300300300300300300299298298298298297298297297297297297297298298299299299299299299300300300299300300300300299299299300300300300299299300300300300299299299299299299298299298299299299299300300300300299300300301301301301300300299299299299298298299298298298298297298298298298298298298299299299300300301302302302302302301301301301301301300300299299298297297297296297297297297297297297296296295295295294294293293293293293293293291292292293294294294295295296295297297297297297297297297296297297296296296296296296296295295292293294294295295295296295296296296296297297297297298298299300300300301300301301302303303303302302302302301301301300300300300300300299299299299298298297297298298298298298298298297297298298298298298298298298298298297298298298297297297297297297297297297296297297297297297297297297298298298297297297297296296296297296296296296296296296296296296296296296296295295295296295295295295296296296296295296296296296296296296295295295296295295295295295295295295294294294294294293294294295295294295295295295295295294294294294295295295295295295295295294294294294294293292292292292292292292292292292292291292291291291291291291291291291290290290290290290290290290289289289289289288288288289289289289288288288287288287287287287287286286287286286286286286287286287287288288288288288288288288288288288287287287287287287287287287287287288288287288287287287287287287287287286286286286285285285285285285285285285285285285285285285284284284284284284284284285285284284284284284284284283284284283283283283283283282282281281280280280279279279279279279279279279279279279279279279279278278278278278278278278278278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294288282282282282281282285287287287286286285284283282282282283283284295297295294299999999999999999999999999999999999999999999294295295295295295296296296296295296296296296296296296296296296296296296296297297297297297297297297297298298298298298299299300300300300300300300300300300300300300299300300299299298298298298297297297297297297298298299299299299299299299300300300299300300300300299299299299299299300299300299300299300299299299299299298298298298298299298299300301300300300301301301301301301300301299299298298298298298298298297297297297297298298298298298299299299300301301302302302301302302302302300301300300300300300298297297297297297297297297298297297296296295295295294294293293293293292292292292292292293293294294295295296295295297298298298297297297297297296297296296296296296296295295292295293294295294295296295296296297296296296297297298298299300300302301300301301302303304304303303303302302302302302300300300300300300300299299298298298298298298298298298298298298298299299298298298298298299298298298298298298298298298298298298297298298298297298298298298298298298298298298297297297297297296296296296296296296296296296296296296296295295295295295295296295295295295295296296296296296296296296296296296295295295295295296295295295295295295294294294294293294294294294294294294295295295295294294294294294295295294295295295295295295294294294293293292292291292292292292292292292291292292291291290291291291291291291290290290290290290290290290290289289289289288288288289288288288288288287287287287287287287287287287287287286286286286286287287287288288287288288288288288288288288288288288287288288287287287287287287288288288287287287287287287287287286286286286286285285285285285285285285285285285286286285285284284284284284285284285285284284284284284284284284284284284284284283283283282282282281280280279279279279279279279279279279279279278278279279279278278278278278278278278278277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300286283282282282282281282284286288288288289288287284282282282282282286286294299297295299999999999999999999999999999999999999999999295295295295296296296295296295295296296296296296296296296296297296296296296296296296296297297297297297298298299299299300299300300300300300300300300300300300300300300299299299299299298298298298297297297297297298298298299298299299299300300299299299300299300300300299299299300299300299300300299299299299299299298299298298299299299298297298299300300300300300300300300301300300300299299298298298297297298297297297297297297297298297297298298299300300300301302301301301301302301301301301300300300300300299298297298297298298298298297297297296296295296295294294293293293293292292292292292293293293294294294295295295296297297296297297296296296296296297297296296296295295295295295295293294294294295295295295296296296296297296297298299299300300301301302301302303305305305303303303303303303303303301301301300300300300299299299298298298298299298298298298299299299298298298298299299299299299299299299298298298298299298298298298298298298298298298298298298298298297297297297297297297296296296296296296296295296296296296295295295295295294295295295295295295295295295296295296295295296296296295295295295294295295295295295295295295295294294294294293294294293294294294294294295295295294294294294294294294295295295295295295295295295294294294294293292292292292292292292292292292291292291291291291292291291291291291291290290290290290289289289289289289289289289288288288288288288288288287288287287287287287287286287287287286287286286287287287288288287287288288288288288288288288288288288288288287287287287288288288287287288287287287287287287287286287286286286286285285285285285285285285285286286286286285284284284284285285285285285285285284284284284284284284284284284284284283283283282281281280280279279279279279278279278279279279279279278278279278278278278278278278278278278278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301296293289286285284284284283283284286287289289289290289287284281281281283282287292294299297298999999999999999999999999999999999999999999294295295295296296296296296296295296296296296296296296296296295296296295295296296296296297296297297297298298299299300300300299300300300300300300300301301301300300300300300300300299299298298298298297297297297297298298298298298298299300300300299299299300300300300299299299299299299299300299299299299299299299300300299299298299299298298298298299299300300300299299299299299300300299299298298298298298297297297297297297297298298297297297298299299300299300301301301301301301301302301301300300300299299299299299297297298297298297297298297297296296295295294294294294293293293292292292292292292293293294294295296295295296296296297297297296295296296296296296296296295295295295295295295293293294295295295296295295296297296296297297298298299299300301301302302302303304304304302302302303303303303302302301300300300300300299299299298298298298298299299298299299299299299298298298298299299299299299299299298299298299298298298298298298298298298298298298298298298298298298298297297297296296296296296296296296296295295295295295295295295295294294294294295295295295295295296296296295296296296296296295295295295294295295295295295295295295294294294294294294294294294294294294294295295295295294294294294294294294295295295295295295295294295295294294293293293292292292293292292292292292292291291291292291291291291291291290290290290290290289289289289289289289288288288288288288288288288288287287287287287287287287287287287286286286286286287287287288288288287288288288288288288288288288288288288288287287287288288287287287288288287287287287287287287287287286287286286286286285285285285285285285285286286286286285285285284284284285285285285285284284284284284284284284284284284284284283283282282281280280280279279279279279279279279279279279279279278279278279278278279278278278278278278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295295294287285285286286285285285286287288289290290290289288286283281282282283283288292297299298302303999999999999999999999999999999999999999295296295295296296296296296296296296296296296296296295295295295296295295295295296296296296296297297298299299299300300300301301301301301301301301301301301301300300301300300300300300299299299298298298297297297298298299299298298299299299300300300299300300300300300300300300300300299299300299299299299299299299300299300299299299298299298298298299299299300300299299299299299299299299299298298298298298297297296296296297296297297296297297298298298300299300301301301300301301300300301300300300299299298299299299299298298297297297298298298297296296295295296295294294294293292292292292292292293293293293294295294294295296296296296296296296295295296296296296295295295294294295295295295293294294295295295296295296297297296296296298298298299300300300301302302302303304304304303304304303303303302302301301300300300299300300300300300298298299298299299299299299299299299299299298298299299300299299299299299299299299298299299299299298298298298298298298298298298298298298298297297297296296296296296296296296296295295295295295295295295295294294294294294294294295295295295295295295295296296296296296295295295294294294294295295295295294294294294295295294294294294293294294294295295295296295294294294294294295295295295295295295295295295294294294293293292292293292292292292292292292292291292291292292291291291291291290290290290290290289289289289289288288288288288288288288288288288288288287287287287287287287287287287287287287286286287287287288288288288287288288288288288288288288288288288288288288288288288288288288288288288287287287287287287287287287287287286286286286285285285285285285286286286286286285285285285285285285285285285285285285285284284284284284284284284284284283283283282281281280279279279279278279279279279279279279279278279278278279279279279279278278279278278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999306302295292290287284285286288288287287289290290290290291291290289288286283281284285285286289292298300299300304999999999999999999999999999999999999999295296295295296296297296296296296296296297296296296295295295295295295294295295295296296296297297298298299299300300301301301301302301301301302302301301301301301301301301300300300300300299299299298298298297298298298299299298299299299299299299299299300301300300300300300300300300300300300299299299299299298299299299300299299299298299298298298298298299299299299297297299299299299299299299298297297297297297297296296297297297298297297298298298298300300300302301301301301301300300300300299299299299298298299299299299299298298297298298298298297297296296296296295294294294293293293293293294293293294293294294295294295296296296296296296296295296296295296296295295295294295294295295295293294294295295295297296296296297297297297297298298300300300301301302302302303304305305305304304304303304302302301301301300300300300299300300300300300299300299299299300299300299299300299299299299300300300300299299299300299299299299299299299299299299298298298298298298298298298298298298298297297296296296296296296296296295295295295295295295295294294294294294293294294294295294294295295295295296296296296296296295295295295294294294294295294294294294294295295295295295295294294294294295296295296296296294294294295295295295295295295295295295294294294294294293293292293293292292292292292292292291291291291291291291291291290291290289290289290289289289288289288288287288288288288288288288288288288288287288287288288287288288287287287286287287287287287288288287287288288288288288288288288288288288288288288288288288288288288288288287288287287287287287287287287287287287287286286286285285285285285285286286286286286286286285285285285285284285285285285285285285285285285285285285284284284284283283282281280280280279279279279279279279279279279279279279279279278279279278279278278278278278278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289288287287286286288289289289289290291291291291291292291291289288285281283289291291294297300301299298999999999999999999999999999999999999999295296296296296296296297297297297297297296297296296296295295295294295294294294295295296296296297297298299299300300300301301300301301301302302302302301301301301301301301301301300300300300300299299299298298297298298299299299299299299299299299299299299299300300300300300300299300300299300300300299299299300299298299300300300300300299299298299298298299299299299299299299299298298299299299298298298298297297297297296296297296296296297297298298298298299300300301301301300302300299299299300299299299299299299299299299299299299298298298298298297297297297297296296295294294294294294293293293294293294294293293294294295296297297297296297297296296296295296296296295295295295295294294295295293293295295295296297297296296296296297297297298298299300300302302303303303303303304304305305304304304304303303303301301301301300300300300300300300300300300299300299299299299300300300299299299300299299300300300300299299299299299299299299299299299299298299298298298298298298298298298298298298297297297296296296296296295295295294295295295295294294294294294293294294293294294294294295295295295296296296296296296296296295295295295295294295295294294294295295295295295295295295295295295295295296296296296295295294295295295295295295295295295295295295294294294293293293293293293293293292293292292291291292291291291291291291290290290290289288289289289288288288288288288288288288288288288288288288288288288288288288288288288288287287287287287287287287287288288288288288288288288288288288288288288288288289288288288288288288288288288288288287287287287287287287287287287287287286286286286285286285285285285286286286286286286285285285285285285285285285285285285285285285285285285285285284284284283283282281281280280280279279279279279279279279279279278279278279278278278278278278278279278278278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290289287286287287288288289290290291290291292292292292291292291291290289286282281289293295298300301301300298999999999999999999999999999999999999999295296296296296296296297297297298298297297297297296296295295294294294294294294294295296296296297298299299300300300300300300300301303303303303302302302301301301301301301301301300301300300300299299299299298298299299299299299299298298299299299299299299299299300300300300299299300300300300300300300300300299299299300300300300300299298299299299299298299299299299299299299298299298299299299299299299299298298297297297296296296297295296296297297298298299299299299300301299300300300299299299299299299299300299300299299299299299300299298298298297297297297296296296295294294294294294294294294293294293294293294294294294296296296296295297296296296296296296296296296296295294294295294295295293294296296297297297297296296296297297297297298299299299300301301302302303303303304303304304304305305304304303303302302301301301300300299300300300300300300300299299299299299300300300300300299300299299300299299299299299299299299299298299298299299299299298298298298298298298298298298298298297297297297297297297296296296295295295295295294294294294294293293293293293294294294294295295295295296296296296296296296297296296296296296295295295295295295295295295295296296295296296295295295295295295296296296296295295295296295295295295295295295295294295294294294293293293293293292292293292292292291291291291291291291290290290290290290289288288289290289288288288288288288288288288288288288288288288288289288288288288288288288288288287288287287287288288288288288288288288289289289288288288288288288288288289288289289288288288288288288288288287287287287287287287287287287287287287286286286286286286285285286286286286286286286286285285285284285285285285285285285285285285285285285284285284284284284283282282281281281280279279279279279279279279279279278278279278278278278278278278278278278279278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289287287288288289289289290291291291292293293293293292292290290291290288285281281288292297300301302301301298999999999999999999999999999999999999296297297297297297297297297298298298298298298297297296296295295295295294295294294295295296296297298298299299300299300300300302302303303303303303302302302301301301301301301301301301301301301300300299299299298298299299299299299298298299299299299299299299299299300300301300299299300300300300300299299300300299299299300300300301300299299299299299299299299299299298299299298299299298298298299299299299298298298298297297296296296296296295296297297297299298298299299299299300300300299300299299299298298299299300299299299300300299299299299298298298298297297297297296295295294295295294294295295294294294294294294294294294296296296295295298297297296296296296296296296295295295295294294294293294294295296297296297297298298297297297297298299299299299300300300302302303303303304304305305305305305304303303303302301301301301301301300300299300300300300300299299299299299299300300300300299299300300300299299299299299299299299299299299298299299298298298298299298298298298297298298298298297298297297297297297296296296295295295295295294294294294294294293294294294294294294294295295295295296296296296296297297297296296296296296295295295295296295295296295295296296295296296295296295295295295296296296296296296295294294294295295295295294294295295294294294293293293293293293292292292291292291292292291291291291291291290290290290289289289289289288288288288288288288288288288288288288288288288289289289288288288289288289288288288288287287288288288288288288288288288288288289289288288288288288288288289289289289288289288288288288288287288287287287287287287287287287287287287287287286286286286286285286286286286286286286286286285285285284285285285285285285285285285285285285285285284284284284283283282282281281280280280279279279279279279279279279278279279278278278278278278278278279278278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293999289288288289289289290291291291292292292293294294294293292292290288288287284283282284288293297300301302302301299299999999999999999999999999999999999297298297297297297297297298298298298298298298298297297297296296295295295295295295295296296297298298299299299299299300300302302303303303303303303303302302302301302302301301301301301301301301300300300299299299299299299299300299298299299299299299299299299299299300300300300300300300300300300300300300300300300299299300300301301300299299300299299299299299298298298298298299298298298298298299299299299299298299298298297296296295295296297297296297297299298299299300299299299299299299299299299298298298299299300300299300301300299300299299300299298298297297297296296296295295296295295295295295295294297296295295295295295296295295295295297297296296296295296295295296295295295294295294295294294295295296297296296297298299296296297298298299300299300300301301300302302303303304304305304305305305304304303303302301301301301301301301301300300300300300300299299299299299299299300300300299300300300300300299299299299299299299299298298299299298298298298298298298298298298298297297297297297297297297297297297297296296295295295295295295295294294294293293293294294295294294295295295296296296296296296296297296296297296296296296296296295295296295296296296296296296296296296296295295295295295295295296295296296295295295295295295295295294294295295294294293293293292292293292292292292292292291291292291291291291291290290290289289289289289289289288288288288288288288288288288288288288288288288289289289289289289289288289288288288288287287288288288289288288288288288288288288289288288288288288288288288288289289289288289288288288288288288288287287287288287287287287287287287287287286286286286286286286286286286286286286286285285285285285284284285285285285285285285285285285285285285284284284283283282282282281281280280279280279279279279279279279279279278278278278278278278279278279279278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302999999999999999999999999999999999999999999999999999999999999297999999999294292292290290289290290291291291292293293293293293293294295294293292290289287286286285286288290292295298300301301301301300298999999999999999999999999999999297298298297297297297297297298299299299299299299298298297297296296296296295295295296296296297298298298298299299299300300301302303303303303303303303303302302302302302302301301301301301301301301301300300300299299299300300299300299299299299299299299299299299299300300300299299299300300300300300300300300299300300300300300300300301300299299299298299299299299299298298298298298298298298298298298299299299299298298298298298295294296295295296296296296297297298298299299299298299299299299298298298298299299299299299299299300299299299299299299299299298298298297297297297296295296297296296296295295294295295295295295295295295295295295294294296297296296296296296295295296295295295294295294295295294294295295296296296297297298296297297297298298299300300300301301302302302303303304305305305305305305304304304303303302301301301301301301301301300300299300299299300300300300299300299299300299300300300300300299299299299299299298298298298299299298298298298298298298297298298298298298298298298297297296297297297297296295295295295295295295294294294294294293294294294295295295295296296296296296297297297297296297297297297296296296296296296296296296296296296296296296296296295295296296295295295295296296295296296295295295296295295295295294294294294294293293293293292293293293292292291292291291292292292292291291290290290290289289289289288288288288288288288288288288288288288288288288288288288288289289289288289289289289288288288288288288288288288288288287288288288288288288288288288288288288288288288288289288289289289289288288288288288288288288287287287287288288287287287287287287287287286286286286286286286286286286286286286285285285285285285285285285285285285285285285285284284284284284284283283283282281281280280280280279280279279279279279279278278278278278278278279279279279278279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303999999999999999999999999999301301999999298297298298999299295294293293293293292292292292293293292293293293293294293293293294294294292291290289288289289290292295296296297298299300301301301301300299999999999999999999999999999999298299298297298298298298298298299299299299298298298298298298297297297296296296296296297297298298298298299299299300300301302302302303303303303303303302302302302302301302302301302301301302301301301301300299299299300300299299299299299299298299299299299299300300300300300300300300300300300300301302300300301300301301300300301301300301300300298298298299299299299298298298298298298298297297298298298299298299298299298297298296294296295295296296297297297297298298298299299298299299299299298298299298299298299298298299299299299299300299299299299299299299298298297297297296296296297297296297296296296295296296294295296296296295295295296296296296296296296296296295295295295295294294294294294294294294295296296296296297297297297297297297297298299300300300301301300302303303303303304305305306305305304304304304303302302301301302301301301300300300300299299299300299299299299300299299299299299299300300299299299299299299298298298299298298298298298299298298298298298298298298298298298297297297297297297297297297297296296295295295295294294294293293294294294294294295295296296296296296297297297297297297297297297297297297297296297296296296296296296296296296296296296297296296296296295295295295295296295296296295295295295295295295294294294294294294293293293293293293292292292292291291291292291291291291291291290290290289289289289289288288289288288288288288288288288288288288288288288288288288289289289289289289289289288288288287288288288288288288288288288288288288288288288288288288288288288288289288289288289289289289289288288288288288288288288288288288288288287287287287287287287287287286286286286286286286286286286286286285285285285285285285285285285285285285285285285284284284284284284284283283282282281280280280280280280279279279279279279279278278279279279278279279279279278279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305303999999999999999999999305302999999296296296295296296296295295294294294294294294294295295295295295294295294294293293293293292291290289290291292293294295298298299299299300300301301301301301301300300999999999999999999999999298299299299298298298298298298298299299300299299299298299298298298297297296296297296297297297298299299299299299300301301302302302302303303303303302302302302302302302301302302302302302302302302301301301300300300300300300300299299299299299299299299298299299300300300300300299299300300300301300300301301300301300300300300300300301300300299299298298298299299299299299298298298298298297297298298298298298298299298299297297297297298296296296295295297297297297298298298299299299299299299299298298298299299299299298299299299299299299299299299299298298299299298298297297297296297297297297297297296297296295295296295295296296295295295296296296296297296296297296296296295295295295295295294294294296294295295295296296296296297296297297297297297299299300300301300301301302303303303303304304305305306305305305304303303303302302302302302302301301301301301300300300300300300299299299299300300299299300300300299299299298298298298298298298298298298298299299299298298298298298298298298298298297297297297297297297297296296296296296295295295295295294294294294294294295295295295296296296296297297297297297297297297297297297297297297297296296296296295296296295296296296296296296296296296296296296295296296296296296296295295295294294295295294294294294294294293293293293293293293292292292291291292291291292292291291291290289290290289288289289288289289289289288288288288288288288288288288288288289289288288289290289289289289289289288287288287288288288288288288288288288288288288288288288288288288288288288288288288288289289289289289289289289289289289289288288288288288287287287287287287287287287287286286286286286286286286286286286286286286286285285285285285285285285285285285285285285285284284284284284283283283282282281281280280280279279279279279279278278278279278278278279278279279278279279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305302301999999999302299299304298296296295295295295295296296296296296296296296297297297297297297296296296295295294294294294293292292292293294295296297298299300300299299300300301301301301302301302302301999999999999999999999298298299299299299298298298298298299299299300299299299299299299298298298298298297297297297297298299298299299299300301301302302303303302303303302302302303302302302302302301302302302302302302302302302301301300300300300300300300300299299299299299299299299299299300300300300300299300300300300300301301300301300300300300300300300300300300300299299299299299299299299299299298298298298298297297297298298298298298299298298297297297298296296296296296295297297297297297298298298299299298299298299298298299299299299298298299299299299299299299299299298298298298299298298297297297296297296296297297296296296295296296296296295296296295295295297297298297297296297297296297296295295295296295295295295295294294294295295295296296296296296296297297297298298299301300301301302302303303303303304304304304305306305305304304304303303302302302302302301301301301300300300300300300299300299300300299299300300299299299299299299298298298298298298298298298297298298299299299298298298298298298298298298298298297297297297297297297296296296295296295295295295295294294294294295295295295295295296296296296296297297297297297297297297297298297297297296296296296295295295295295296296296296296296296296296296296296296296296296296296296296295295295295294295295294294293293293293293293293293293292292291291291291291291292292291290291290290289290289289289289288288289289289289289288289289288288288288288288288288289289289289289289289289289289288289289288287287288288288288288288288288288288288288288288288288288288288288288288288288288288289289289289289289289289289289289289289289288288288287288287287287287287287287287287287286286286286286286286286286286286285286285285285285285285285285285285285285284284284284284284284284283283283282282281280280280280280279279279278278278278278278279279278278279279279279279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305305301299303999999302299297296296296296296296296296297297297297298297298298298298298298298298298297297297296295295295295295295295295295296297298298299299299299299299300300300300301301301302302302303302301300999999999999298299299299299299299298298298298299299299299299299299299299299299299299298298298298297298298298298300300300300300301301302302302303302302302302302303303303302302302302302302302302302302302302302302302301301300300300300300300300299299300299299299299299299299299300300300300299299299300299300301300300299300301300300300300300300300300301300300299299300299299299299299299299298299298298298298297298298298298298297298297297297297297298297296296296296296297297297297297297298298298298298298299298297298299299299298299299298299299299298299298298298297298297298298298297298298296296296296297296296296296295296296296296296296296295296296296296297297296296297297297296296296296295296295295295295295294294294295294295296296295296296297296297297298298299300301300301302302303302304304304305305305306306306306305304304304303303302302302302302300301301300300300300300300300300299299300299299300299299299299299299299298299298298298298298298298298298298298298298298298298298298298298298298298298297298297297297297297296296296296296295296295295296295295295295295295294295295295296296296296296297297297297297297297297297298297297296296295296296295295295295295296296296296296296296296296296296296296296296296295296296296296295295295295294294294293293293293293293293293292292292292292291291292291292292291291291291290290290290290289289289288288289290289289289289289289288288288288288288288288288289289290290290289289289289289289288288288288288288288288288288288289288288288288288288288288288288288288288288288288288288288289289289289289289289289289289289289289289289288288288288287287287287287287287287287286286287287286286286286286286286286285285285285285285285285285285285285285285284284284284284284284284283283282282281281281281280280279279279278278278278278278278279278278278279279279279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302301297296999999999296297297297297297297297297297298298298298299299299299299300299299299299299298297297297296296296296297297297297297297299299299299299299300300299300300300301301301302302302303303303302302301999999999298298299299299299299299298298298299299299300300299299300299299299299299298298298299299299298299299300300300300301301301301302302302302302302302302303303302302302302302302302302302302302302302302302302302301301300301300300300300300300300299299299299300299299300300299299299299300299300300300299300301299299300300300300300300299300300300300299299299299299299299300299299299299298298298298298298298298298297298297297297297298297297297297296296296296297296296296297297297298298298297298298298298299299299299298298299299299299299299298298297297297297297297296297297297297297297296296297296296296296296295295296296296296296296295295294294295296297296295295296297296296296296296295296295295296294294296294294295295296296296296296297296297296298298299300300301301302302303303304304305305305306307306306306305305305304304303302302302302301301301301301301301300300300300300299299300300300299299299299299299299299298298297297297297298298298298298299299298298298298298298298298298298298297297298298298298297297298297297297296296296296296295295295295295294295294294295295295296296296296297297297297297297297297297297297297297296296295295295295295295295295295295295295296296296296296296296296295295295295295295296296295296295295294294294294293293292292293292293292292292291292291292292291292291291291291291290291290289290289289289288288288289290289289289289289289289289288288289288288288288289290289290290290289289289289289289289288289289289288288288288288288288288288288288288288288288288288288288288288288288288289289289289289289289289289289289289289289289289289288288288288288287287287287287287287286286287287286286286286286286286286285285285285285285285285285285285285285285285284284284284283283283283283283282282281281281281281280279279278278278278278278278278278278279279279279279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302300296999292292295296297297297298298298298298298299299299299299299299299299300300300300299299299298298298298297297298298298298298297298299299299299299299299300300300301301301302302302302302303304304303303303302999999298298299300299299299299299299299299300301300301300300300299299299298299299299299299299299299299299300300300300301301301302302302302302302302302302302302302302302302302302302302302302302302303302302302301301301301301301301300300300300299299299300300300299299300300300299299299299299299300300299300300300300300300300299300299299299299300300299299299300299299299299299299299299299298298298298298298297297297298297297297297297298298297297296296297297297296296296297297297297297297298298298298298299299298299298299298298298298298298298297297297297296296296296297297296297297297296296296296296296296295295295296295295295296296295295294296296297297296295297296297297296296296296296296295296296293293294294294295295295295295296295296297297297297298299300299300301301301303304304304305304304306307306306306305306305305304304303302302301302302301301301301301301300299300300300300300300300300300299299299299299298298297297297297297297297298298298298298298298298298298298298297297298298298298298298297298297297298297297297296296296295296296295295295295295294294295295295295296296296296297297297297297297297297297297297297296296296295295296295295295295295295295295295295295295296296296295295295295295296295296296296295296295295294294294294294293293292293292292293292292292292292292292291292291291292291290291290290290290289290289289289289289290289289289289289289289289288288288288288288288289290290290289290289289289289289289288288289289289289288288288288288288288289289288288288288288288288289288288288288288288289289289289289289289290290289289289289289289289289289289288288288287287287287287287287286286287287286286286286286286286286286285285285285285285285285285285285285284284284284284283283283283283283283282282281281281281281280279279278278278278278278278278278278278278279279279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304999999303303304301299295294294294294296297297297298298298298299298299299300299299300300300300300300300300300299299299299299299298298298298298299299299299299299299299300299300300300301301302302302302302302303303304304304304304303999999298299300300299299298299299299299299300300300300300299299299299299299299299299299299299299299299299300300300300301301301301302302302302302302302302302302302302302302302302302302302302302302302302302302301301300301301301301300300300300300300300300300300300300300300300300299299298299299299299299299300300300299299299299299299299300300300300299299299299299299299299299299299299298299298298297297297297297297297298298297297297297297298297297297297297297296295296296296297297297297297297297298298298298298298299299298298298298298298297297297298297296296297296297297297297297297296296296296296296296296295296295295294294296295295295296296296298297297296296296297297297296296296296296295296295295293294294295295295295295295296295297299298297298298298299299300300301302303304303304304304305306306306306306304304304304304304303302302302302302301301301300300301300299300300300300300300300299299299299299299299299298298297297297297297297297298298298298298298298298298298298298298297297298297297297297297297297297297297296296296297297296297296296296295295294295295296295295295296296296297297297297297297298298297297297297296295295296295295295295295295295295295295295295295295295295295295295295295295295295295295295295295295295294294294294294294293293292292292293292292291292291292293291292292291292291291290290290290290289289289289289289289288290290290290289289290289289288288289288288288288289289289290290289289289289288289289288289289289289289288288288288288288289288288289288288288288289288288288288288288288289289289289289289289289290290290289289290290289289289289289288288287287287287287286286286286286286286286286286286286286286286285285285285285285285285285285285285284284284283283283283283282282282282282282281281281281280280279279278278278278278278278278278278278278278278278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304305999307305303300298296296296296295296297298298298299299298299299299300300300300300300300300300300300300300300300300300299300299299299299299299299299299299299300300300300300300301301302302302301301302303303303304304304305304303999999299299300299300300298298299299299300300299300300300299299299299299299299299300300300299300300300300300300301300301301301301302302302302302302302302302302302302302302302302302302302302302302302302302301301300300301301301301300300300300300300301301300301300300300300300300300299299299299299299300299299300299300299299299298299299299299299300299299299299300299299299299298299299298298298297298297297297297297297297297297296297297297298297297297297296297296297296297297297297297297298297297297298298298298298298298297298297297297298297297297297297296297296296297298297297297297296296296296296296296295296296296295295295295296296295296296296297297296297296297298297297297296295296295293294294293295294295295295295295296295295295297299297297298298298298299299301301301301302304304305306306306307306306306305305305304304304303303302302302302301301300300300300300299300300300300300300299299299299299299299299298298297297297297297297297297297298298298298298298298298298298297298297297297297298298297297298298298297297297296297297297296297297296296295295296295295295295296296296296296297297297297298297297297296296296296296295296296295295295295295295295295295295295295295295295295295295295295295295295295295295296295295295294294294293294294293293293292292292291292291292292291292292292291291291291291291291291291291290290290289289289289289289289290290290290290290289289289288289288288289289289290289289289289289289289288289288289289288289289289288289289289289289289289289289289289288288288288288288288288288289289289289289289289289290289289290290290290289289289289289289288288288287287287287286286286286286286286286286286286286286286286285285285285285285285285285286285285284284283282282282282282282282282282282282281281281281281280279279279278278278278278278278278278278278278278278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304305305303303301299297297297297297297298298298298298299299299300300300300300300300300301301301301300300300300301301300300300300300300300300300300300300300300300299299300300300301301302302301301301301302302303303303304304304303303299298299300300300301301300299299299299300300300300300300300299299299299299299300300300300300300300300300300300301301301301301301302302302302302302302302302302302302302302302302302302302302302302302302302301300300300301301301301300300300300301301301301301301301300300300300300299299299299299299299299299299300299299299298299299299299299299299299299299299298300300299299300299299299298298298297297298297297296297297297296297297298297297298297297297297297296296296296296297297297297297297297297298298298298298298298298297297297297297298298297297296297297297296297297298297297297297296296296296296296296295296296295294294295295295295295295296296297297297296296295297297297297296295296295293294294294295294295295295295295296296295296297298298297298298299298299300301302302302302303304306306307306306307306306306304304304304304303303303302302301301301301300300300300300300300300299300300299299299299299299299298298298297297297297296297297297298298297298298298298298298298298298297298297297298297297296297297297297297297297297297296297295295296295295295295295295295295295295296296296297297297297297297297297297296296296296296296296295294295294294295295294294295294294295295295295295295295295295295295295295295295295295295295294294294294293293293293293292292292291291291292292292291291291291291291291290290291291291291291290290289289289289289289290290290290290290290290290289289289289289289289289289289290290289289289289289289288288289288289289289289289289289289289289289289289289289288288288288288288288288288288289289289289289289289289289289289290289289289290289289289289288288288287287287287286286286286286286286286286286286286286285285285285285285285285286285285285285284284283283282282282282282282282282282282281281281281281281280280279279278278278278278278278279278278278278278279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303303303302302302301300299298297297297297298298299298298298299300300300300300300300301301300301301301301300300301301301301301301300300300300300300300300300300300300299299300300300301301301301301301301301301301302302303303303303304304303303301301301300300300301301300300300300300300299299300300300300299299299299300300300300300301301300301301301301300301301301301301302302302302302302302302302302302302302302302302302302303303303302302302302302301300300300301301301301300301301301301301301301300301300300300300300300299299299299299299299299299298299299299299299299298298299299299300299299298299299300300299299299299299299298298298298297297296296297297297297296296297297297297298298297297296297296296296296296297297297297297298298297298298297297298298297297297297297297298297297297298297298297297296297298298298297298297297296296296296296296296296296294294294294295295295295296295296297296295293295296296296296294295295295295296294294295294294294295295295294295296295296297297297297297297298299300301300302302302303303304305306306306307306306306306305304304304304304303303303302302301301301300300300300300300299300300300300300299299299299298298298298298297297297297297297297297298298298298298298298298298297298298297298298297297297297296297297297297297297296297297297296296296296295295295295295295295295295295296296296297297297297297297297297296296296295296296295295294295294295295295295295295294294295294294294294295295295295295295295295295295295295294295295294294294294293293293293293293292291291291291291292293292291291292292291291291291291291291291290290290289290290290290290290290290290290290290289290289289289289289289289289289290289291290289289289288288288288288289289289290289289289290289289289289290289289289288288288288288288288288288288288289289289289289289289289289289290289289289290290289289289288288288288287287287286286286286286286286286286286286286286286285285285285285285286286285285285285284283283283282282281282282282282282282282281281282281281281280280280279279279278278278278278278279278278278278278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301999999307306999999305304303303302302301301300299298298298298297298298298298298299298299300300300300300300300300301300301301301301301301300301301301302301301301301300300300300300300299299299299299299300300300301301301301301300300301301302302302302303303303303303303302302301301300300301301301300300300300300299300300300300300300299300300300300301301301301301301301301301301301301301301301301302302302302302302302302302302302302302302301302302302303303303303303302302301301301300300300301300300301301301301301301301301301301301301300300300300299299299299299299299299299299299299299299299299298298298299299300299299299299299300300300300300299299299299298298298297298298297297296297297296296296297297297297297297297297296297297297296296296297297296297297297297297298298297297298297297297297297297297298298298298297297297298297297298298297298297297297297296296296296296296296296295295295294294295295295296295295296296295294293295296295295295295294294295295296295296295294294294294294294295294295296296297297297297297297298298300300301301301303304304305306306306307307307306306306305304304304304304303303303302302302302301300300300300300300299299299300300299299299299298299299299298298298297297297297297297297298297298298298298298298298297298298298298298297297297296296297297297297297297297297297296296296296296295294295294294295295295295295296296296297297297297297297297297297296296296296295295295295295295295294295295294294294294294294294294294294295295295296296296295295295295295295295295294294294294294293293293293293292292291291291291292292291291291291291292291291291291291291291291290290290289290289289290290290289290290290289289289289289289288289289290289290290290290290289289289289288288288289288288289290289289289289289289290289290290289289289288288288288288288288288288288289289289290289290289290289289289289289289290290289289289289288288288287287287286286286286286286286286286286286286286286285285285285285286286286286286286285284283283283282282281282282282282282282282282281282282281281280280280279279278278278278278278278278278278278278278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999309999309307999305999999999999999999311999999999999999999999999999999999999999999999999999999999999999304303306305303303303303303302999302301301301299298298298297297297298298298298298298299299300300300300301300300300301301301301301301301301301301301301301301300300300300300300300300299299299299299299300300300300301301301300300300300301301301301301302302302303303303302302302301301300300300301301301300300300299299299300300300300300299300300300300301301301301301301301301301301301301301301301302302302302302302302302302302302302302302302302302302303303303303303303302301301301300300300301301301301301301301302302301302302302301301301301301301300300299299300300299299299299299299299298298298299299299299299299300299300300300300300300300300299299299299299299299298298297297297296297297297296296297297297297297298298297297297297297296297296297297297297297296297298297298298297297298297298298297297297298299298298298298298298298297297297298298297297297297297296296296296296296296295295295295294294295295295294294295296296296294293296295295295295295295295295296296295294294294294293294294295295295296296296297297296298297298298298298300301301302303302304305306307307307307307306306306305305304305304304303303303303303302301301301301301300300300299300300300300300299299299299298299300298298298298297297297297297297298298298298298298298298298298297298298298298297297297296296297297297297297297298297297296297296296295295295295295295295295295296296296296297297297296296297296297297297296296295296295295295294295295295294294294294294294293294294294294294294295295295295295295295295295295295295295294294294294294294293293293293292292292291291291291292292292291291291292291291291292292291291291291291291291290290290290290290290290290290290290289289289289289289289289290290290290290290290289289289289288289288288288289289290290290290290289289290290290290290289289288288288288288288288288289289288289289289290290289290289289290290290290290290289289289289289288288288287287287287286286286286286286286286286286286286285285285285285286286286286286285285284283283282282282281281281281281282282282281281281282281281280279279279279279278279278278278278278278278278278279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999307307307308308307307304304302302999999999999306999999999999999999999999999999999999999999999999999999999304304303304302301301301302302301300300300300300299298298298297297297298298297297297298299300300300300301301300301300301301302301302301301302302301301301301300299300300300300300300300300300299299300300300300300300301301300300300300301301301301301301301302302302302302302302301301301300300300301301301300300300299299300300300300299300299300300300301301301301301301301301301301301301301301302302302302302302302302302302302302302302302302302302302302303303303303303303302301301301300300300300301301301301301301301301301302302302301301301302301301301299299299300300299299300299299299299299298298299299299298298299299299300300300299300301301300299299299299299299299298298297297298297296297297297297297297297297297298298298297296297297297296296297297297297297297297297297297297297297297298298298298297297298299299298299298298298297297297297298298297297297297297297297296295296296296295296294294294294294295297296296296296297296295294296295296295295295295295295295295294294294293294294295295295295295295295296297296296297297298298298299300300300303303303304306305307307306309307307307306305305305305304304303304303303302302302301301301301300300300300300299300300300299299298298298299299298298298298297297297296297298298297298299298298298298298298297297297297297297297297296296297297297297297297298298297296297296296295295295295295295295295295295296296296296297297297296296296297296296296296296296295295295295294295294295294294293293293293293293294294294294294294295295295295295295295295295294295294294293294293293293293293292292292291291291290291291291291291292292292292292292292292292291291291291291291290290290290289290290291291290290290290290290290289289290290290290290289290289290290289288288289289289289289289290290290290290290289290290290290290290289289288288288288289289289289289289289289289289289290290290289289290290290290289290290289289289289288288288287287287287286286286286286286286286286285285285285285285285285286286286286286285284284283283282282282282282282282282282282282282282282282281281280280280279279279279278278278278278278278278278279279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999306307306307308308308309309308308308307999999307305306306303301999999999999999999999999999999999304305305304304303302302302301300300300300300301301300300300299299300299299298298298298297298298298299299300300301300301301301301301301301302302302302302302302302302301300300300300300300300300300300300300300300300300300300300300300301300300300300301301301301301301301301301301301301301301301301301300300301300301301300300299299300300299300300299299299300300300300301301302301301301301301301301301301301302302302303303302302302302302302302302302302302302302302302302303303303303303302302301301301301301300300300301301300301301301301302302302302302301301302301301301300299300300299299299299299299299299299299299299299299298298299299299299299299299300300300299299299300299299298298298297298298297296297297297297297296297297297297298298298297296297297296296296297297297297297296297297297297297297297297298298298298298298299299299299298298298298298297297298298298297298298297297297297296296296296296295295295294294295295295297297297296297297297295294294294295295295294294294294294294293293293293294294295295296295295295294295296296297298298297298299299300300301302304304305306306306306305305307307307306306305305304304304304303303303302301302302302301300300300300300300299299300299299299299299299298298298298298298298297297297297298298298298298298298298298298298297297297297297297297297296298297298297297298297298297297297297296296296296295295295295295295295295296296296296296297297297296296296296296296296296295295295295294294295295295294294294294293293293294294294294294294294294295295295295294295294294295295295294293294293293293293293292292292291290291290291291291292292292291292292292292292292292292292292292291291291290290290290290290291291291291291290290290289290290290290290289290290290290289289289289288289289289289289290290290290290290290290290290290290290290289289288288288288289289289289289289289289289289289289290290290289290290290290290290290289289289289289289288288288287287287286286286286286286286286285285285285285285285286286286286286286285284284283283282282282282282282282282282282282282281281281281280280280280280279279279279279278279279279278279279279280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303304305307308309308309309310310309309310309307307309307307306302303999999999999999999999999307306305305304303303302301301300300300299300300300300300300300300299299299300300299299299299299298298298299299300300300301301301301301301301301302302302302302302302302302301301300300300301300301300300300301300301300300301300301301300300301301300300300300300301301301301301301301301301301301301301301301301301301301301301300300299299299299299299299299299299300300300300301301302301302301301301301301301301301301302302302303302303302302302302302302302302302302302302302303303303303303303303302302302301301301300300300300301301301300301301301302302302302303301302301301301300300300300300299299299299299300299298298298300300300300298299298299299299299299300300300300300299299300299299299298298298298298298296296298297297297297297297297297298298298297297297295296296296296296297297296296296296297297298297298298298298298299299298299299299299299298298298298297297297298298298298298297297297297296296296296296295294294294295296295295296297295295296296295295294294294294295294294293293294294294293293293292293294295296296295294295295295296297298298298299299300300300301302302303304305306306306305306305306306307306306306305305305304304303303303303302302302302302301300300300300300299300299299300299300299299299299299298298298297297297297297298298298297298298298298298298298297297298296297297297296296297298298298298298298298297297297296296297296295296295295295295295296295295296296296296296296296296295297296296296295296295295295295295295294295295294294294294294293293293294294294294294294294294294294294294294295294295295294294293294293293293293293292292291291291290290290291291291292292292293293293292292292293292292292292291291291290291291290291290291291292292291291291290290290290290290290290290290290290290289289289289289289289289289290290290290290290290289290290290290290290289289289288288289288289289289289289289289289289290290290290290290290290290290290290290290289289289289289289289289288288288287287286286286285285285285285285285285285285286286286286286285285284283283283282282282282282282282282282281281282282281281281280280280280280280280280279279279279279279279279279280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304304303304305307308309308309310310310309310310310309309309307307305303999999999999999999999999306305304303303303302302300299299299298298299299300300300301300300300299300300300300300300300300299300300299300301301301301301301302301301302302301301302302302302302302301302301301301300300300300301300301301301301301301301301301301301301301300300300301300300301301301301301301301301302302301301301301301301301301301301301301300300299298299299299299299299299299300300300300301301301301301301301301301302302301302302302303303303303303302302302302302302302302302302302302303303303303303303302302302302302301301301301300301300301301301301301301301302302302302302301301300300300301300300301300300299300299299300300299299298299299299300299299298299300299299300300300300300300300300300299299299298298298298298297297297298298297298298298298298298298298297297296296295296297296296296296295296296296297297297298298298298298299299299299299299300299298299299298298298297297298298298298298298298298298297297297296296296296294295295295296295295296296295295296295295294294293293294294295292294293293294293293293293293293294295295296296295295295296297297298299299300300300300301301302303304304304305306305306306306306306307306306305305304304304304304303303303303302303302302301301301301300300299299299300300299299299299299299299298298298298297297297297298297298298298298298298298297297297297297296297297297297297297298298298299298298298298297297297296297295295295296295295295295295296296296296295296296296296296295296296296295295295295294295294295295295295295295294294293294294294294293294294294294294294295295294294294294294294295295294294294294293293293293293292292291291291290291291291292291292292292292292293293293293292293292292292292292292292292292292292290291292292292291291291291292291291291291290291291290290290290289290289289290289289290290291290290290291290290290290291290290290290290289289289288289289289289289289289289289289289289289290290290290290290290290289289290290289289289289289289289288288288288288287287286286286285285285285285285285286286286286286286286285285284283283283283282282282282282282282282282282282282281280280280280280280280280280279279279279279279280280279280280281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304304305305307308308308309310310310310310310310309310308308305304999999999999999999999306999305305303303301301300299299298298297297297298299299299300300300300300299300300300300301301300301300300301301301301301301301301301302301302302302301301301302302302302302301301301300301300300300301300301301301301301301301301301301301301301300300301301301301301301301301301301301301302302302302301301301301301301301301301301301300299298298298298299299299298299299300300300301301301301301301301301301301302302302302302302302303303303303302302302302302302302302302302302303303303303303303303303302302302302301301301301301301301301301301301301301301302302302302302302301300300300301300300301300301299299299300300300299300300300299299299299299299300299299299299300300300300300300300300299299299298299299298299298298298298298298298298299299298298298298297296296296296296295295296296297296296296296297297297297297298298299298298299299299299299299300299299299299298298298298298298298298298298298297297297297296295295295295295295296296295296296296296296296296295295294293294293293293292293294294293293293293293293294294295295295295295295296297298298298299300300300299300301302303303304305304305305305305306306307307307306306305304304304304304303303303302303303303302302302302301302300300299300300300300300299300299299299299298299299299298297297297297297298297298298298298298297298298297297297298297297297297297297297298297297297298297298297297296296296295296296295296296296296296297296296296296295296296297296296296296295295294295294294294295294295295295295294294293294294294294294294293293294294294295294294294294294294294294294294294294294293293293292293292291291291291291291291291291292292292293293293293293293293293293293293293293293292292292293292292292292292292292292292292292292292292291291292291291291291291291290289290290291290290290290291291290290291290290291291291290290290290289289290289289289289289289289289289290290290289289290290290290290290290290290290290289289289290289289289289289289288288288288288288287287286286286285285286286286286286286286286286286285284284283283283283283282282282282282282281281282281281281280280280280280280280280279280280280280280280280280280280281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999306305304304306306307308308309309309310309309310308309309309307306305999999999999999999999999305304304303301300300299299298298298297297297298298299299299300300300300300301301301301301301301301301301301301301301301301301301301301301302302301301301301302302302302302301301300300300301300301301301301301301301301301301301301301301301300300300300301300301301301301301301301301301301301302302302301301301301301301301301301301300300298297297297299299299299299300300300300301301301302302301302301301302302302302302302303303303303303303303302302302302302302302302302302302303303303303303303302302302302302302301301301301301301301301301301302302302302302302302302301301301300301301300300300300300299300300300300299299300300300299299299299299299299299299299299300300299299300300301300300299300299300300299299299298298299299299299299299299299298298297297297297296297297296296295297296296296297297297297298298298298298298299299300300299299300300300300299299299299298298298298298298298298298298297298297297296296295295296295296294296296296296296295296296296295295293294294294295294292292292294293293292293293294293294295295295296296296297297298298299299299300299300301302302302303304304304305304305306306307308308307306305305304304304304303303304303303303302303302302302302302302300300300300300300299299300299299300299299299298299298298298297298297297297297298298298297297297298297298297298297298297297298297297297297297297297297297297296294293297296296296297296296296296296296296296295296295295295296295295295295295294294295295294294294295294294295294295294294294294294294294294294294295294294294294294294295295295295294295294294294294294293292292292293292291291291291291291291291292292293292293293293293293294294294293293293293293292293293293293293293292293293293293293292292292293292292292292292292291291291291291290290290290290291291290291290290291291291291291291291291291290290290290290290289289289289289289289290290290290290290290290290290290290290290290290290289290290290290290289289289289289289288288288288288287287287287286286286286286286286286286286286286286285284284283283283282282282282282282282282282281281281280280280280280280280280280280280280280280280280280280281281281281282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305999305307307305304304306307307308309308310309310309308308308308308308307305304999999999999999304305306305304304303301300299299298298299298299298297297298299299299300300300300301301301301301302301301301301301301301302302301301301301301301302302301301301301302302302302302302302301301301300301300301301301301301301301301301301301301301301300300300300300300300301301301301301301302301302301302302302302301301301301301301301301301301301300299297296297298299299299300300300300300301301301301301301301301301302302302303303303303303303303302302302302302302302302302302301302302302302302303303302303302302302302302302302302301301301301301301302302302302302302302302302302301301301301300300300300301301300299300300300300300299300300300300299299300299299299299299299300300300299300300300300300300300300298300300300299300299298299298298299300299299299298298298298297297297297297296296296296296296297297297297298298297298298298299300300300300299299300300300300300300299299298299299298298298298298298298297297297297297297296296296295296296296296296297297295296296296296293292294295295295294294296295293293293292293293294293294295295296296296297297297298298299300299300300301302302302302303303303305304306306307307307308308308306305306305305305304304304303303303304303303303303302302302301301301301300300300300300300299300300299299298299299298298298297298298298298298298298298298298298298298297298298298298297297297297297297298298296297296296297294294294294296296296295296296296296296296296296295296295295295295295295295294294294294294295294295294294295295295295295294295294294294294294295295295295294294294294294294294295295295294294294294295294293292293292292292292292292292292292292292291292292292292292293292293294293294293293294293294293293293293293293293293293293293293293293293292292293293293293293292293292292292291291292291290290290290291291291291291291291291291292292291290291291290290290290290289289290289289289289289289290290290290290290290290290289289290290290290289289289289289289289289289288288288288288287288287288287287287287287287286286287286286286286286286286285284284283283283282282282282282282282282282281281280280280280281280280281281281280281281281281281281281282282282282282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304305305306305305304305305306307308309309308309309309309308307306307307308307307305304999999999999999304306306305303304302301300298298298299300300300299299299299299299299300300300301301301301301301301301301301301301301301301301301301301301301301301301301301301301302302302302303302302302301301301300300301301301301301301301301301301301301301300300300300300300300300300301301301301301301301301302302302302302302301301301301301301301301301301300299297295296297298299300300300300300301301301301301301301301301301302302302303303303303303303303302302302302302302302302301301301302302302302302302302302302302302302302302302302302301302302301302301302302302302302302302302302302301301301301301301300300301301300301300301301300300300300300299299299299299299299298299299300300300300300300300301301300300300300300300300300301301299299299300301300300299299299298298298298297297297297297297296296297296297297297297297297298298298298298299299300300300300300301301301301301301300299299299298298298298298298297297297297297297297296297297297297296296296296296297297296296296296297294292293296296293294294296294293293293293293294294294294295295296296296298297298298299299300300299300300300301302302303303305305305306306307308308308307308308307306305305305304304304304303303303303303303303303302302302302302301300300300300300300301300300299299299300299298299298297298298298298299298298297298298298298298298297299298297298298298297297296297297297297294295294295294295293295296296296296295296296296296296296295296295294294294294293294294294294294294295295294295294294294294294294294294295294294295295294295295295294294294294294294294295294295294294295295294293293293293293293292292292292292292292292292292292292292292292292292293292293293293293294294294294294294294294295294294293293293294293292292293292293293293293293292292292292292292291292291291291290291290291291291291291291291291291291291291291291290290290290290289290290289289289289289289290290290290290290290290290290289290290290289290289289289289289289289289289288288288288288288287287287287287287287287287286287286286286286286286286285285284283283283283282282282282282282282281281281281281280281280281281281281281281281281281281281282282281282282282282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304306306305305306305305305306307307308308308308309309309309308307306306306307307307307306302999999999999999999307307305305302301299298299299300301300300300300300300300300300300300301301301301301301301301302301301302301301301302301301301301301301301301300300301301301302302302302303303302302302302301302303301301302301301301301301301301301301301300300300300300300300300300300300300300301301301301301302302302303302301301301301301301301302301301301299297296296298299300300300300300300301301301301301301301301301301302302302303303303303303303303303302302302302302302302301302301301302302302302302302302302302301302302302302302302302302302302302301301301302302302302302302301302301301301301301300300300300301300301300300300300300300300300299299299299299299299298299299299300301300301300300301300300301301300300301301301301300299299299300300300300299299299299299298298297297298297297297297297297297297297298298297298298298299298299299300300300301301301301301301301301300300299299298298298298298298297297297297297296297297297297297297297296296297297297297297296296296296296294294296295295295292294295294294294294293294293294294295294295296296297297297298298299299299299299299299301300302303303304306305306305305308308307308307308307307306306305305304304304303303303303302303303302302302302302303302301300299301300301300301301300300300300300299298298298298298298298298298298298298298298299300298298299298297297298298298297297295296297296296295295294296294294296296296296296296296296295296296295295295295295294294294294294294293294294294294295295294294294294295295294294294295294294295295295295295295295294294294294294294294294294295294294295294293293293293293293293292293293292292292292292292292292292292292292292292292292292293293293294294294294293294294294294293294293293293293293293292292292292292292293292292292293293292292292292291291291291291291291291291291291291291291291291292291291291291291290290290289290290289289289289289289289290290290290291291291290290290289290290290290289289289289289289289289289288288288288288288287287287287287287287287286286286286286286286286286286285285284283283283283282282282282282282281281281281281281281281281281281281281282281282281282282282282283282283283282283282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999306307307306306307306306306306306307307307308308309309308308307306306306306306307307307306304999999999999999303306305305305303301299298299299300300301301300300300300300300300300300301301301301300300301301302302302301301301301301300300301301301301301300300301300301301303302302303303303303302302302302303303302302302302301301301301301301300300300300300300300300300300300300300300300300300301301301301302302303303302302301301301301301301301301301301300298297298299299300300300300300300301301301301301301301301301302302302303303303304304303303303303303303302302302302301301301301302302302302302302302303303302302301301301302302302302302302301302301301302302303302302302302302302302301301301301301300300301301301300301300301300300300300300299299299299299298299298299299300300301300300301301301300301301301300301301302301301301301300300300300300300299299299299299298298297297298297297298297297298297298298298298298297298298298299299299300300300301301302301301302301301300300299299298298298298298298297297297296297297297298297297296297297296297297297296296296296296296296296296295296296296294293294294293294293294294294294293295295296296297297297297297298298299299299299300299301301301302303304305307305305307306308308308308308308307306306306306305304304304303303303303302302303302302302301302302301301301300300301302301301301301301301301300299299299299299298298298298299298298298299298299299298298297297297297298297296297296296297296296296296296296296296294296296295295295295296296295295296295295295295295294294294294294294294294294295294294295295294294295295295295294294295295294294295295295295295295295294294294294295294295293294295294294294293294293293293292293293293293292293293292292292293292292292292291291291293292291292292293293294293294294294294294294294294294294293293293293293293293293293292293292292292292293293292292292292292291291291291291291291291291291291291291291291291292291292291291290290290290290289289289288288288289289290290290291291290290290290289289289290289289289289289289289289289289288288288288288287287287287287287287287286287286287287287287286286286286286285284284284283283283282282282282281281281281281281281281281281281281281281281282282282282282282283282283283283283283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999307308308307306307308307306306306307307307308308308308309308307307306306307307307307307307306304999999999999999999999304303302302301299297299299300301301301301301300300300300300301301301301301300300301301301303302302301301301300300301301301301301301301301300301300301301302302302302303303303303302303302302302302302302302302301301301301301300300300300300300300300300300300300300299300300300300301301301302302303303302302301301301301301301301301301301300299298297298299299300300300300300301301301301301301301301301301302303303304304304304304304303303303302302302302301301302302302302302302302302302302303302302302301301302302302302302302302301301301302302302303302302302302302302302302301301301301301300301301301301301300301300300299300299300299300299299298298298298299300301300300300301300300301301301301301302302303302301301301300300300300300300299300299298299299298298297298297297298299298298298298298298298297298298298298299299299299300300301301302301301301301300300300299299298298298298298298298297297297297297297297297297297296297297297297296296296296296296295296296296295297296296294294294294293294294293294294294293294295295296296296296296296298298298298300300299300301301301302303304305306305306307307306306307307307307308307306306306305304304304303303303303303302302302302302301302302302302302301301302302301301302302301301301300299299299299299299299298298297297298299299298298298298298297298298298297297296297297296297298296297297296296297296296296295296295296295295295296296295295295294294294294293294294294294294294294294294295294294294294295294294294294294293294294294295295295295295295295295295294295294294294294294294294294294293293293293293293293293293293293293293293293293293293293292293292291292293293292293293293293293294294294294294294294295294294294293293293293293293293293293293293292292292292292293292292292292292291291292291292292291291291292292292292292292292292291292291291291290290290290289289289289289289289289290290290291291290291290290290290289289289289289289289289289289289288288288288288287288288288287287287287287287287287287286286287286286286286286285285284283283283283282282282282281281281281281281281281281281281281281281282282282282283283283283283283283283282282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999308309308307307307309308307307307307307307307308308308308307307306306306306307307307306306305303301300999999999999999302301301300300299298299299299301301301300301301301301301301301301301301301301300301301301302302302301301301301301301301301301301301301301301301301301301302302302302302303303302302303303302302302302302302302302301301301300300300300300300300300300300300300299299299299300300300300301301302302302302302302302301301300301301301302302301301301299297299299299300300300300301301301302301301301301301301302302303303303304304304304304303303303303302302302301302301302302302302301301302302302302302302302302302302302302302302301301301301301302302302303303302302302302302301301301301301301300300300301301302301300300300300299299299299300300299299298298299299299300300300300301300300300301302301301300302302303302302302301300300300300300300300299299299299299298298298298298298298298298298298298298298299298298298298298298298299299299300300301301301301302302301300300299298298298298298298298298298297298298297297297297297296296297297297297297296296296296296296296296295295296295296293293293293293293293293294294294294295295296296296296297297297298298298298299300300300300301302302303304305305305306307306306306306307307306308306306306305304304303303303303302302303302302302301301302302301301301302302302302302302302301301301301301300299299299299298299298298297297297298299298297298296297298298298297297297297297297297296296297296296296295295296295296296296295296295295296295295295295294294294294294293293293294294294294294295294294295294294295294294294294294294294294294294294295295295295295295295295295295294294294294294294294294294294294293294293293294294293293293294293293293294293294294293294293292292293292293292293293293293294294294294295294295294295294294294293293294293293294293293293293292292292292292292292292292292292292292291292292292292292292292292292292292292292292292292292291291291290290290290290289289289288288288289289290290290291291291291290290290289289289289289289289289289289288288288288288287288287287287287287287287287287287287287287287287287286286286286285285284284283283282282282282282281281281281281281281281281281281281281282282282283283283283283284283283283283283283282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999310309307306307307307308308307307307306307307307307307307307306305306306306306307306306305304303301999999999999999300300299299298298299298298299300300301300300300301301301301301301301301301301301300301301301302302301301301301300301301301301301301301301301301301301301302302302302302302302303303303303303303303303302303303302302302302301301301300300300300300300300300300300299299299300299300300300301301302302302302302302302302302300300301301302302302302301299299301300300300300300300301301302302301301302302302302302302303303304304304304304303303303302302302302302302302302302302301301301301302301301302302302303302302302302302302302301302301301302302303303303303303302302302302301301301300300300300300300301301301301300300300300299299300300300300300300299299299299300300300300300300300299300301302302302301302302303302302302302301300300301300300300299299299299299299298298298298298299298298299299299298298299298298299298298298299299299299300301301301301301301301300300299299298298298297297298298298298297298297297297297297296296296297297296297297297296296296296296296296295295297295295293294293293292292292293295295294295295295296296296295297297298298298298298299300300300300301302303304304304304304304304305306305305307307306307306306306305304304303303303302302302302301301301302302302302302302302302302302302302302303302301302301301299299299299299299299298298297298298298298298298297297296297297298297297297297297297297296297296295296296295296295295296296295295295295295296295295295295295295293294294294293293293293294293294294295295295294295294294294294294294294294294294294294295295295295295295295295295295294295294295294294295294294295294294294294294294294294294294294294294294294294294294294294294293293292293293293293293294293294294294295295296295295295295294294294294293294294294293294293292292292292292292292292292292292292293292292292293292292292292292292292292292292293292292292292292291291290290290290289289289288288288288288289289290290291291291290290290289289289289289289290289289289289288288288288288288288287287287287287287287287287287287287287287287287287286286286286285285284284283283283282282282282281281281281281281281281281281281282282283283283283283284284284284283284283283282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999309309309308307307308308309308308308307307307307307307307307306305305305305306306306306305304302302300299299999294297297296296296296297299296297298300300300301301300301301301301301301300300300300300300301301302302302302301301301301301301301301301301301301301300301301301301302302302302302303303303303303303303303303303303302302303303302302302301301301300300300300300300300300299299299299299300300300301301302302302302302302302302302301300301301302302302302302301301301300300300300301301301302302302302302302302302302302303303304303303303303303303303303302302302302302302302302301301301301302302301301301302302302302302302302302302302302301301301302303303303303303303303303302302302301301301301301301300301301301301301301300300300299299300300300299299299300300300299300300300301300300298300299301301302301302302303304303303302302302302301301301300301300299299299299299299298298298298299299299299299299299299299297299298298298298299299299299299300300301302301301301301300300299299299297297297298297297298299298298297297297297297296297296297297297297297296296297297297296296296295296296295294293294294293291292292292294294295295295295295296297297297298298298298298299300300299300300301302303303304304303304305303305304304305306306306306306306305304304303303303303302302302301302301301302301302301302302302302302303303302302303302302300300300300301300299298298298298297297297298297297297297297297297296297297296297296297296297296296296297296296296296295296295296296295295295295295296295295295294294294294294294293293294293294294294294294295295295294295295294294294294294294294294295295294295295296296295295295295295295295295295295294295295295294294294294294294295294295295295294295294294294294294294294295295295294293293294293293293294294294295294295295295295295295295295294294294294294294294294293293293292292292292292292292292292292292292292292293292293292292292292292292292292292292292292292292291291291291290291290290289289289288288288289289289290290291290290291290290290290289289289289289289289289289289288288288288288288288288288287287287287287287287287287287287287287287287287286286286285285284284284283283283282282282281281281281281281281282282282282282282282283283283283284284283284284283284283282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305307308309309307307307307308308308309307307307307307307307306305304303303303304304305305305304303302301299298298296293296295294295294295297297296296298299300301301301301300300300300301300300300300300300301301301301302302301301301301301301301301301301301301301300300301301301301301302302302302302302302302303303303303303303303303303303303302302302302302301301301301301300300300300300299299300300300300301301301301302302302302302302302302301301301301302302302302302302302301301301300300301301301302302302302302302302303303302303303303303303303303303303303302302302302302302302302302302301302302302301302301302302302302302302302302302302302302302301302302302303303303304303303302302302302302301301301301301301301301301301301300300300300299299300300300299299299299300300300300300299300300300298298300301301302301302302302302303303303302302302301300301301301300300299299300299299299299298299299299299299299299299299299299299299298298298299298299299299299300300301301300300300299299299298298297296297297298298298298298298298298297297297297297297297297297297297297296297297297297297298296296296295295294294294294293293293294295295295295294295296296297297298298298299298298299300300300300301302303303303303304304304304304305305305306306307307306306306305304304303303303302302302302301302302302302302302302302302303302302303303302302303303302301301301301301301300300299298297298297298297297297296297297297297297297297296296297297296297297297296297296296297296295296296296295296295295295295296295295294294293293294294294294294294294294295294294295295295295295294295294294295294294295294294295295295295295295295296295295295295295295295294294294295295295295295295294294294295295294294295294294294295295295294295295295295295294294293294294294294295295295295295295295295295295295295294294294294294294294294294294293292292292292292292292292292292292292292292293293292293293293293292292292292292293292293292292292292292291291291291290290290290289289289289289289289290290291291291291290290290290290289289289289289289289289288288288288288288288288288288288287287287287287287287287287287287287287287287287286286285285284284284283283283282282282281281281281281281282282282282282282283283283284284284284284284284283284283283283282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305305307309309308308307307307307308307308307307307307307306306305304303302301301302302303304304303302301299298297296296294296296297999294294296297296295296299301301301301301300300300300300300300300300301301301300301301302302302302302301301301301301301301301301301300300300301301301301302302302302302302302302303303303303303303303303303303302302302302302302302301301301301301301300300300299300300300300300300301301301302302302303302302302302302301300300302302302302302302302302301301301301301301301302302303302303303303303303303303303303303303303302302302302302302302302302302302302302302302302302302302302302302302302303302302302302302302302302302303303303303303303303303303303302303302302302301301301302301301301301301302301300300300301300299300300300300300300300300300300300299300300300300298297300301301302302303303303303303303302302303302302301302302301301300300300300299299299300299299299299299299299299299299299299299299298298299299299299299299299300300300300300299298298299299298298298297297298298298298298298298297297298298298297297297297297297297297297297297297296297299298297296297296296295295295295293294294294295295295295295295296297298298298299299298298298299300300301300301302302302303303304304303304303304305306306306306307306306305304304304304303303303303302302302302302302303302303303303303303303303304304303303303302302302301301301301301301300300299298298298298297297296297297297297297296298298297297295298297297297296297296296296296296296296296295295296295295295294294294295294294294294294294294294294294293294294294294294294294295295295295294295294295294295294295295295295295295295295295296295295294295295295295295294295295294295295295294294295295295295294295294294295295294295294295295296295296295295294295295295295295295295295295295295295295295295294294294294294294294294294294293293292293293292292292292292291292292292292293292293293293293292293292293293292293293293293292292292292292292291291291291290290290290289289289289289290290290291291290291290290290290289289289289289289289289289288288288288288288288288288287288287287287287287287287287287287287287287287287287286286286285285285285284283283283282282282281282282281282282282282281282282282283283284284284284284284284284284283283282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304305305306309308308307307307307307307308308308308307307307307307306305304303302301300300300300300302302302999999999298999999999999999999999999999294295295294297299300301301301300300299299299300300300300300300301301300300301301301301302302301301301302301302302301301301301301301301301301302302302302302302302302302303303303303303303303303303303303302302302302302302302302302302301301301300300300300301300301301301301302301302302302303302302302302303302301300301302302302302302302302302301301301301302302302303303303303303303303303304303303303303303302302302302302302302303303302302302302302302302302302302302302302302302302302302302303302302302302302302303303303303303303303303303303302302302302302302302302302301301301301301301301300300300300300299300300299300300300299300300300300300300300300300299299300300301301302302302302303303303303303303303302302302302301301300301300300300299300300299299299299299299299299299299299299299299300299299299299299299299299299299300300299300300299299298298297298298298298299298298298298298297298298298298298298298298298297296295297298297297299299299299298297296296297297296296296295293294294294295295295295296295298299298298299299299298299299300301301302302302302302303303303303303304304304305306306306306306305306304304304304304303303303303301302301301302302302302303303304304303303304304304305304303303303302301301300301300299300299300298298298298297297296297297296296297297297297297298297297297296297297297296297296297296296296297296295295295294295295294294294294294294294294294294295295294294294294294294294295295295295295294295295294294295295294295295295295295295295295295295295295295295295294295295295295295294295295295295294295295295295295295295295295295295295295295295296296296296296295295295296296296296296296296296296295296295295294295294294295294294294294294294293293293293292293293293292292293292292292293293293293293293293293293293293293292293293292292292292292292291291291291291290290290290290289289289289290290290290290291290290290290290289289288289289289289289288288288288288288288288288288288287287287287287287287287287287288287287287287287287287287286286286285285284284283283282282282282282282282282282282281282282282282283283284284284284284284284284283283282282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305305306307308307307307307307308308307307307307307307307307307307307306305304304303300299299298296999999301999999999999999999999999999999999999999999999294294295298300300301301300300299299299299299300299300300300300300300300300300301301301301301302301301302302301301301301301301301301301301301302302302302302302302302302303303303303303303303303303303302302302302302301302302302302302302301301301301301301301301301301302302302302302303303302302302302302302301300301302302302302302302302302302302302302302302303303303303303304304303304303304303303303303303303303303303303303303303302302302302302302302302302302302302302303303302303302302303303302302302302302302303303303303303302302303302302302302302302302302302302302302301301301301301300300301300300300300300300300300299300299300300300300301300300300300299300300301301302302303303303303303303303302303302302302302301302301301301300300300300300299299299299299299299299299299300299299299299299299299299298298298299299299299299299298299301299298298297297298297297297297298298298298298298299299299299299298298298297296296298298298298298299298298298298298297296296296296295293293293293295295295295295297296297298297298299298298298299299300301301301301302302302303303303303303303304305305306306306306305304304304304304303303302302302302302302302302302302301302303303304303303303303304305305304304303302302301300300301300299300300299298299297297297296296297296296296296297297298298298298297297297297297297296296296296297296297295295295295294295296295294294294294294294295295295295295295295294294294294294294294294294294294294295295295295295295295295295296296296296296296296296296295296295295295295295295295295294295296296295295295295295295295295295295295295295296296296295295296296296296295296296296297297296296296296295295296295295295295295295295295295294294294294294293293293293292292292292292292292292292292293293294293293293293293293293292293292293292292292291292292291291291291291291290290290290290290289290290290290290290291290291290290290290290289289289289289289289289288288288288288288288288288288287287287287287287287287287287287287287287287287287287286286286286285285285284284283282282282282282282282282282282282282282282282283284284284284284284284284283283283282282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303305305306306306307308308307307307307307306307307307307306306306305305305304303302300299298297296999999999999999999999999999999999999999999999999999999293294296299300301301301300300299299299299299299299299300300300300301300300300301301301301302302302301302302301301301301301301300301301301301302302302302302302302302302303303303303303303303303303302302302302301301301302302302302302302301301301301301301301301301301302302302302302302302302303303303302302301300300301302302302303303303303303302302302302302303303303304304304304304304304303303303303303303303303303303303303303303302302302302303303302302302302302303302302302302303303302303303303303302302303302302302303303302302302302302302302302302302302302302302302302302301302301302301301300300300299300299300300300300299300300300300301301300301301300299301300301302301302303303303303303303303303303303302302302302302301301301301300301300300300300300299299299299300300300300300299299299299299298298298298298298298299298299298298298299299298298297297297298298298298298298298298298299299299298298299298298298297297297298298299298299299299299299298297297296296295296295294296293296295295294296296296298298298298298297298297298298299300301302302301302302302303303303302303304303304305305304305305304304304304304303303303302302302302302302301301301302302301302303304304304304304305305305305304303303302301300300301301300300300299299298298297297297296296297297296297297297297298298298298298297297297297296296296296296296296296296296295295295295296295295294295295295295295295295296295295295294295294295295294294294294294295295295295295295295295295295296297296296296295296296296295296295296296296295295296295296295295295296296295296296295296296295295295296296295296296295296295296296296295295296296296297296295296296296296296295295295295295295294294294294294294294294293293293293293292292292292292293293293293293293293293293293293293293293292292292292292292292292292292292291291291291291291291290290290290290290290290290290290290290290290290290290289289289289289289289288288288288288288287288288288288288287287287287287287287287287287287287287287287287287287287287286286286285285284284283282282282282282282282282282282282282283283283283284284284284284284284284283283283282282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304304305305305305306307307308307307307306306306306306307306305305305304304303303303302300299297296297999999999999999999999999999999999999999999999999999999294295298300301301301301300300299299298298298299299299299300300301300300300300300300301302302302302302302302302301301301301301301301302301302302302302302303302302302302303302303303303303303303303303302302301301301301302302302302302302302302302301301301301301301302302302302302302302302302303303303302302301300299300302302303302302303303303302302302302302303303303303303304304304304304303303303303303303303303303303303303303303303303303302303303302302302302302302302303303303303303302302302302302302302302302302302302303302302302302302302302302303303302302302302302302302302302302302301301300300300300299300300300300300300300300300300301301300301301301302301301301302302302303303303304304303303303303302303302302302302303302301301301301300299300300300300300300300300300300300300300299299298298298298297297297298298298298299297297299300299298298298298298298297298298298298298299298299299299299299299299299299298298296298298300298300299299299299298295295294295295296295295295293295295295296297297297297297298298297298298298298299300300301302301301301302302303302303303303304304304305304304305304304304305304304303303303303303302302302303301301301303303303304303303305305305305304305305306304303303302302302301301301301300300300299298298298297296296297296295296297297297296297298298297298298297298297297297297296296296296296295295296296295295295295295295295295295295295295295296295295295295295294294295294294294295294295295295295296295295294295295296296296296296296296296296295295295296296296295295295295296295296296295295296295295296296296296296296296296296296296296296296296296296296295295296296297296296296296296296296295295295295295295294295295294294294294294293293293293293293293293293293293293293293293293294293293293292292292292292292292292292292292292292292291291291291291291291291290290290290290290290290290290290290290290290290290290289289289289289289288288288288288288288288288288288288288287287287287287287287287287287287287287287287287287287287286286286286285285285284283283283282282282282282282282282283283283283283285285285284285284285284284284283283282282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305304305305306305306307307308307307306306305305306306306306305305304304303302302302301299298296999999999999999999999999999999999999999999999999999999999295295297299300301301301300300299299299298298298298298299299300300300300301300300300300301302302302302302302302302301301301301301301301302302302302302302302302302302302303303302302303303303303303302302302302302301301302302302302302302302303302302302301302302302302303302303302302302303303303303302302301301301300299299301302302302301303304303303303303302302302303303303303304304304304304303303303303303303303303303303303303303303303303303303303302302302302302302302302302302303302303302302302302302302302301302302302302303303302302303302302302302303303302302302302302302301301302302302301301301300300299300300300300300299300300300300299300300301301301301302301301302302302302302303304303303303304303302303302302302302302303303302301301300301300300300300300300299299300300300300299299299298298298297297297297298298298298298299299299298299298299298298298298298298298298298298298299299299300299299299299299299299299298298298299297299300300299299298297294294294296298296294293293293295295296296297296298297296298299299298298297298300300300300301301300300301302302302303303303303303303304305305304305304303303303303303303304304303303303303302302302302302303304304305305305306305305305305306305305304303303302302302302301301300301300299298298297297296297296296296296296297297297297297298298299298298297297297297296296296296296296296296295295295296295295296295295295295296295296295295295295295295294295294294294294294294294295295295295296295295295295295296296296296296296296297296295296296296296296295295295295295296295296295295295295295295295296296296295295296296296296296297296297297297297296296296296296296296296296296296295295295295296295295294295294294294294294293293293293293293293293293293292293293293293293293293293292292292292292292292292292292292292292292292291290291291291291291291291291291290290290290290290290290290290290290290290290290290289289289289289289289288288288288288288288288288288288288288287287288287287287287287287287287287287287287287287287287286286286286285284283283283283283283283282282282283283283283283284285285284284285284284284284284283283282282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304304305305305305306307307307307307306305304305305305306305305305304303302302302301299298298999999999999999999999999999999999999999999999999999999999297296297299299300300300300300299298298298298298298298298298299299299299300300300300300300300301302302302302302302302302301301301301301301302302302302302302302302302302302302302302303303303303303302302302302302302302302302302302302302303302302303302302302302302303302303302302302302302303303303302302302301301301299298298300302303303303304303303303303303302302302303303303303303304303304304303303303303303303303303303302303303303303303303302302302302302302302302302302302303302302302302303302302302302302302301302302303302303302303303303303302302302302302302302302302302302301302301302302302301301300299299299300300300300300300300300300300301300301301301301302302302302302302303303302303303304303303303302303303303302302302302303302301301301301300300300300300299299299300300299299299299298298297297297297297297297297297298298299299298299299298298300299299299298298298298298299299299299299299299299299299299299299299301298298299299300300299298298297296296295295296296296294294293295295295296297297297297296297298298299299298298298300301300300301300300300301301301302303303303303303303303305305305304304304303303303303303303303303303304302302302303303303304304305305307307307306305306305305305305304303303303303303302302302302301300300299298297297296296297296296296296296297297297297298298298298298297298297297297296295296297297296296296295295295296295295296296296296296296296296296296295295295294294294294294294294294294295295295296296295295295296295296297297296296296296296295296296296296296296296296295295296296295296295295295295295295295295295296296295296296296296296296297297297297297297297296297296296296296296296296296295295295295295295295295294294294294294293293292293292292292292292293292293293293293293293293293292292292292291292292292291291291291292292291291291291291291291291291291291291291290290290290290290290290290290290290290290290290290289289289289289289288289289288288288288288288288288288288288287287287287287287287287287288287287287287287287287286286286286286285284283283283283283283282282282283283283283283284284285285284284285284284284284284283283282282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302303304305305305306306306306305305305304304305305305305305305304304303302301300299298999999999999999999999999999999999999999999999999999999999999297297297298299300300300300299299299298298298297297297297297297298298298299299299300300300301301301301302303302302302302302301301301301302302303303302302302302302302302302302302303303302302303302303302302302302301301302302302302302302303302302302302302302303303303303302303302302302302303303302302302302302301301300299298999299301302303303303304304303303303303303303303303303303303303303303303303303302303302302302302303302303302302302302302302302302302302302302302302302302302302302302302302302302302302302302301302302303303303302303303303303303303303302302302302302302302302301301301301301302301301300300300299299300300300300300300300300301301301301302302302302302302303302302302303303303304304304303303302302303303302303303303303302302301301301300300300300299300300300299299299299299298298297297297296297296297297297297298298299299298299299299301300299300299299298298298298299299299300300300299299299299299299302302302299300301300300299298298298297296295294295296297295294294294295295295297296298298296296297297299299299299299298299301301300300301301300301301302301303303303303303303303304305304303303303303302303303303303303302304303303303303304304304305305306306307306306306306305306306305305306305303303304303303302302302302301299299298297297297296296296295296295296297297297297298298298298298298298297297297296296296296296296296295295295295295295295296296296296296296296296296296296295295295295295295293294295294294295295295295296296296295296296295296296296297296296296296296296296296296296296295295295295295295296296295295295295295296295295296295295296296296296296296296296297297297296296296297297296296296296295296296295295295295295295295294294294294294293293292293292292292292292292292292293292293293293292293292292292292292292292291291291291292291291291291291291291291291291291291291291291291291291291290290290290290290290290290290290290290289289289289289288288288288289288288288288288288288288288288288287287287287287287287287287287287287287287287287287286286286286286285284284284283283283283283283283283283283283283284285284285284285284284284284284283283283282282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303303304305305305305306305304303305304304305305305305305305304304303302301300300299999999999999999999999999999999999999999999999999999999999999298297298297297298300300300300299299299298298297297297296296296296297298298298299299299300300300301301300302302302302302302302302302301302303303302302302302302302303303303303302303303303302303303303302302302302302302302301302302302302303302303302302302302302302303303303302302302302302302303303303303303302302301301300299298298299301301302303303304304304304303303303303303303303303303302302303302302303302302302302302302302302302302302302302302302302302302302302302302302302302301301301301301302302301302302302302302301301302302303303302303303303303303303303303302302301301301301301301301303302302302301301300300299299299300300300300300300300301301301302302302303302302302302302302302303303303303304303303303302303303303303303303303301301302301301301300300299299300299299299299299299299298298297297297296296295296295296296297298298299299300299300301301300301300300299299299299299299300300300300299299300300300299302301301302301301301299299298298298297297294294294295296296296295298297297296296297296297297296296298298300299299299299298299299300300300300300300301301302303303303303303302302302303304303304302302303302302303303303304303303303303303304304304305305305306306306306306306305306306305306305304305303304304303304304302302302300300300298297297297297297295296296296296297297297298297298298298298298298298297297296296295296295296295295295295295295295295296296296296296296296296296296295295295294295294294294293295295294295295295296296296296296296296296296296296296296296296296296296297296296296295296295296296296296296296295295295295296296295295295295296296296296296296296297296297297297297296297296297296296296296296296295295295295295295295295295294295294294293293293293292292292292292292293292292292293292292293292292292292292292292292291291291291291291291291291290290290290290291291291291291291291291291290291290290290290290290290290290290290289289289289289289289288288288288288288288288288288288288288288288287287287287287287287287287287287287287287287287287286286286286286285284284284284283284283283283283283284284284283284285285284284284284284284284284284283283282282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303303302303304304304305305305304303303303304304304305304305305304304303301300299299299302999999999999999999999999999999999999999999999999999999999298298298298298299300300299299298299298297297296296296296296296296297298298298299299300299300300300301300301302302302302302301302302302302303303302303302302303303303303303302303302302303303303303302302302302302302302302301302302302302302302302303302302302302302303302303303302303303302302303303303303302302302301301300298299299299300301301302303304304304304304303303303303303303303302302302302302302302302302302302302302302302302302302302301302301301301302301301301302302302302301301301301301301301301302302302302302301302301302302302302302302303302302302302303302302302301301301301301302302302301302301301300300300300300299300300300300301301301301302301302302302303303302302303303303303303303303304304304303303303303303303303303302302302301301301301300300300300300300299299299299299298298297297297296296296296295295296296297298297297298299299301300300301300301301300300299299300300300300300300299300301300303302300299299301301301299298297298297297297296296295296296297295294294296296296296295296297296296296297298297298299299299299298299299299300301301300300301301302302303303303304303303302302303304304304303303304303303304304304304304304304303303304304304305305306306306306306307306306306304305304304303303303304304304304302302301301301300300299299298297297297297297297296297297298298298298299298298298298298297297296296295296295296296295295295295295295295295296295296296296296296296296295295295294294295294294294294294294295295295296296296296296297296296295296295296296296296297296296297297296297296296297296296296296297296296296295296296296296295296295296296296296296296297297296297297297297297297296296297296296296296296296295295295295295295295294294294294293293293293293292293293292292292292292292292292293292292292292292291291291291291291291291291290290291290290290290290289290291291291291291291291291291291291290290290290290290290290290290289289289289289289289288288288287288288288288288288288287287287288287287287287286286286286287287287287287287287287287286286286286286286285284284284284284284284285284284284284284284284285285285285285285285285285284284284284283283283282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305303304304304304304304304304305304303303303303303303304304304304303303303302299298299300999999999999999999999999999999999999999999999999999999999297298299299299300300300299299298298298298297296296296296296295296296297297298298298299299299300300300301301301302302302303302302302302303302302303302303302303303303303303302303303303303303303303303302302302302302302302302301302301302302302302302302302302302303302302302303302302303303303303303303303302302302301301301299298298299299299299299301303304304304304304304304303303303303303303302302302302302302302302302302302302302302302302301301301302301302301302302301301301302302301301301301301301302301302302302302302302302302302302303303302302302302302302302302302302302301301301302302302302302302302302301301301300300300300300300300301301300301301301301302302302302303303303303303303303303303303304304304304303303303303303303303302302302302301302301301301300300300299299299299299299298298297297296296296296295295295295295296296296297298298299300301299300300300302301300300300300301301301300300300300299298300300299298299302300301300299298297297296299297297297297297297297295294294294295295296296295295295295296296298298298298298298298298298300299300300300300301301301302302302303303303303303302303304304304304305303304303304304305305304304304304304303303304304304306306305305305306306307307305305304304304303304303304304304304303303302302302300300299299299298298298298298297298297298298298299298299299298299298297298297296296296296296296296295295295295295295295296296295296296296296297296296295295295295295295295294294295295295295295296296296296296296296296296296296295296296296296296297297296296297297297297297296297297296296296296296295295296296296295296295296296296296296296296296296296297296296296297296296296296296295296296295295295295295295295294294294294294293293293293292292292292292292292292292292292292292292292291292291291291290291291291291291291290290290290290289290290290290290290291291290290291291290290290290290290290290290289289289289289289289289288289289288288288288288288288288288288288288287287287288287287287287287287287287287287286287287287287287286287286287286286285285285285285285285285285285285285285284285285285285285285285285285284285285285284284283283283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305303304304304304303303304304304303303303302302302302302302302303303302302303299297298301302999999999999999999999999999999999999999999999999999999297298299300299300300300299298298298298298297297296296295295295295296296297297297298299299299300300300300301300301302303302302302302302302302302302302302303303303303303302302302302302302302302302302302302302302301301301301301302302302303302302302302302302303303302302302303302302303303303303303303303303302302302302301300298298298299299299299999302303304304304304303303303303303303303302302302302302302302302302302302302302302302302302301301301301301301301301301301301301301301301301301301301301301301302302303303302302302302302302302302302302302302301302301302302302302302302302302302302303302302302302301301301301300300299300300301301301301301301302302302302302303303303303303304303303303303304304304304305304304304304304304304303303303302302302301301300300300299300300299299298298298298297297296296296296295295295295295296296296297297298298300299300300300301302302301301301301301301301301301300300298298301300299298301300298298299298297297297298298298297297297296297296294293294296297295296296296297297296296296298298299298299297298299298299300300299300300300301301301300301302302303305303304304304304304304305304304304304305306305304304305306305305305305304305306305306305306306306306305304304303303303303303304304304304304303303304303301300301299299300298299298298298298298298298299299299299299299299298298298297297297296296296296296295296296295295295295295296296296296296296296296296295295295295295295295295294293294294294295295296296295296296296296296296296296296295296296296296296296296296297297297297297297296296297297296296295295295296296296296295295295296296296296296296297296297297296296296296296296296295296296295296295295295294295294294294294294293293293293293293292292292291292292291291291292292292292292291291291291291290290291291291291291291290290290290290289289289289289290290290291290290291291291291290290290290290290290290290289290290289289289289289289288288288288288288288288288288288288287288288288287287287286286286286286287287287287287287287287287287287287287286286286285286286286286285285285285285285285285285285285285285285285285285285285285284284283283283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302304303303303303303304303304303302302302302303302302301301302302302302302300298297300301999999999999999999999999999999999999999999999999999999297298299300300300299299299298298298298297297297296296296295295296296296297297298298299299299300300300300301301301302302303303303303302302302302302302303303303303303303302302302302302302302302302302302302302302301301301301301301302302303302302302302302302302302302303302302303303303303303303304304303303303303302302301300299299299299299300300301302303303304304304303303303303303303302302303303302302302302302302302302302302302302302302301301301301301301302302302302302302302301301301301302301301301301302302302302302302302302302302302302302302302302301302301302302302302301301302302302302302302302302302302302301301301300300300300301301301301301301302302302302302303303303303303304303303303303303304304305304305304304304304303303303303303302302302301301300299299300300300300299299298298298297296296295295295295295295295295296296297297296298299299299299300301302302302302302302302302301301301299299298298298298301298300299298297296296296297297297297298297297296296296297294294296294296295295295297297297297297296297297298298298298298299298299300300300300299300300301301301300301302302303303303303304304304304305305304304304304305305305305306306306307306306305305305305304304306306305304304304304303303303303302303303304303304304304304304302302301301300300299300300299299298298298299299299299299299299299298298299298297297297296297296296296295295295295295295295295295296296297296296296296296296295295295295295295294295294294294294294295295295296296297296296296296296296296296296296296296296296295297296297297297297297296297296297296296295295295295295296295295295295295295295295295296296296296296296295295295295295295295295295295295295295294294294294294294294294293293293293293293292292290291292292291291291292291291291291291291291291291291291291291291291291291291291290290290289289289289289290290290290290290290291291291291290290290290290290290290289290289289289289289289289288288289288288288288288287287287288287287287287287287287286286286286286286287287287287287287287287287287287286286286286286286286286286285285285285285285286286285285285286285285285285285286286285285284284283283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295303304303303302302303302303303302302302302302302302300301301302302302302300298297298300999999999999999999999999999999999999999999999999999296297299300300300300300299298298297297297297297296296296296296296296296296297297298298299299299300300300300301301301302302303303303302302302302302303303303303303303303302302302302302302302302302302302302302302302302302302301302302302302303303303303303303303303303303303303302303303303303304304304305304304303303302301301301301301300300300300301301301302303303303303303303303303303303302302302302302302302302302302302302302301302301301301301301301301301302302302302302302302302302302302301301302302302302302302302303303302302301302302302302302302301301301301302302302302302302302302302302302301302302302302302302302302301301301301301301301300301301301302302302303302303304303303303304304304303303303304305305305305305304304304304304304303303302302301301301300300300300300300299299299298298298297297296295295295295295295295295295295296295295296298298298299300301302302303303303303303302302302302300299299298298299298300299299300297296296295297297297297297297296296295296294294294296296296296295296296297297297297297297297298298297298299299300299299300299299299299300301301302301301302303303303304304304304304305304304304306305305305305305306307306307306307306306305305304305304304305305304304304303302303302302302302303303303303304304304303303302302302302300300300300300299299299299299298298299299299299298299298298298297298298297296296296295295295295295295295295295295296296296296296295295295295295295295295294295294294293294294294294294295295295296296296296296296296296296296296296296296297296296297297297297297297297296296296297296296295295295296295296295295295295295295295295295295295296296295295295295295295294295295295295295295295294294294294294294294294293293293293293293292292292292292292292291292291291291291292291291291291291291291291291291291291291291291290290290290290289289289289290290290290290290291291290291291290290290290290290290290290290289289289289289289289289289288288289288288288288287287287288287287287287287286286286286286286286286287287287287287287287287287287287287286286286286286286286286286286286286286286286285286286286285285285285285286285285285284284284283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302304303303302302302302302302302301302302302302301301301302302302303302300299297298299999999999999999999999999999999999999999999999297297297298299300300300299300299298298298297297297297297297296296296296297296296296297298299299299299300300300300301301302302302302302302302302302302303303303303303303303302302302302302302302302302302302302302302301301302302302302302302302303303303303303304304304303303303303303303303304304304304305305305305305304302301300299300301302302301301301301302301301302303303304303303303303303303302302302302302302302302302302302302302302302301301301301301301301301301301302302302302302302302302302302302302301301302302302302302302302302302302301302301301301300301301301301302302302301301302301301302302302302302302302302303303302301301301301301301301301301302302302302302303303303304304304304304304304304304304304304305305305305305305304304304304304303302302301301301300300300300300300299299298298297298297297296295295295295296295296296294295296294295296298298298299300301302302302303302303303302302301301299299300299301301297298299298297296295295295297297296297296296295296296294294294294294294296296296296296297296296296297297298298298297297299300300300300300300300300300300300301301301302301303303302303303304304304304304304305307305306305305306306308308308306307307306305304304303304304304304303303303303302302302303301302302302302303303303303302302302302302301300300300300300299300299300299299298298298298299299298298298298299298298298297296296295295295295295295295295295296296297296296296296296295295295295295294294295294295293295294295294295295296295296296296296296296296296296297297296296296297296296297298298297297297297297297297297296296296296296296296296295295295295295295295295295296295295295295295295295295295294295295295295295295295295294294294294294294294294294294293293293293292292292292292292292291292292291291291291291291291291291291290290291291291291291291290290291290290289290290290290290290290290290290290290290290290290290290290290290290289289289289289289289289289289289288288288288288288288288288288287287288288287287287287286286286286286287287287287287287287287287287287287287287287287287287286287286286286286286286286286286286286286285285285285285285285285285285284284284283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303303303302301303301301301300302302301302302302301301301302302302303301300299297297298999999999999999999999999999999999999999999298298298298299299300299299300300299298298297297297297297297297297296296297297296297297297298299299299299300300300300300300301302302301301302302302303302303303303303303303303302302302302302302302303302302302302302302302302302303302302302302302302302303303304304304304304304303303304304304305305305305306305305305305303303999999999999300301302302301301302301302300301303304304303303303303303303302302302302302302302302302302302302302302302301301302302301302302302301301302302302302302302302302302302302302302302302302302302302302301302302301301301301301300301301301301301301302302301302302302302302303302302303303303303303303303302302302302301302302301301302302302302303303303303304304304304304304304305304304304305305305305305305305304304304304304303303302301301301301300300300300299299298298298297298298297296296295295294295295295296296296295294295296297299298299300300301302303303302302302302303304301301300302301301301299297299298299296297294297297296296296295295296296296295293293295294295296296296296297298297297297297297298298298299298299299299299299299299299300299299299301301302302301303303303303304303303304304305305306307305306306306305308308308308308307305305305304304303305304303303303303303303302302302302302302302302302302302303303303303302301302302302302301301300300300300300300300299299299299298299299299299299298298298298297297296296295295295295295296296296296296296297297296296296295295296295295295295295295294294294295295295295296296296296297298297296296297297296297297296296297297297297297298297297297296296297297297296296296296295296296296295295295295295295295295295295295294294295295294294294294294295295295294295295294294295294294294294294294294294294294293294293293293292292292292292292292292292291291291291291291291291291291291290291291291290290291290290291290289289290290290290290290290290290290290290290290290290290290291290290290290289289289289289289289289289289288288288288288288288287288288287287287287287287287287287286286286286286287287287287287287287287287287287287287287287287287287287286286286286286286286286286286286286285285285286285285286285285285285285284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302302300301302301302301301301302301302302301300300300302302302302301301300299298298299999999999999999999999999999999999999299299298299299299299299299300300299298298297297297297297297297297297297297297297296296297297298298299299299300300300301301300300301301301301302302302303302303303303303303303303302302302302302302302302302302302302302302302303302302303302302302303303302303303303304304304304304304303304304305305305306305305306305306307999999999999999999999999300300301301301301301999301303304304304304303304303303302302302302301302302302302302302302302302302302302302302302302302302301301301302302302302302301302302302302302302302302302302302302302302302302302302302302302301301301301301301300301301302302302302302302302303303303303303303304303303303303303302302303302302302303303303303303304303304304304304305304304305305305305305305305305306306306305305305305304304303303303302301301301301300300299299299299298297298298297298297296296296295295296296295295295295295296297298298299299301301302302303303302302301300302302303301300302302301300296296298299296295294294297296296296296296296296296295295295295295295295296296296296296297297297297297297298298299298299299299298299299298299299299299299300301301302302302303303302303303303303304305306306305307306306305305307308308309309309307306305304304304303303304304304303303303303302302302302300301302302302302302302302303302302302302302302302301301302301302301300300300300299298299298298299299299299298299298298298297297296296296295296295296296296296296296297297296297297296296296295295295295294295295294294294294295296296296296296296297297296296297297296297297297297297297297297297298298297297296296296297297296296295296295296296296295296296295295294295295294294294293294294294294294294294294294294294295294294294294294294294295294294294294294294294294294293293293293293293292292292292292292292291291291291291291291292292291290291291291290290290290290290290289289289289289290289290290290290290290290290290291290290290291291290290290290290290290289289289289289288288288288288288288287287288288287287287287287287287287287286286286286286287287287287287287287287287287287287287287287287286287286286286286286286286286286286286286286286285286285285285285285285285285285284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300299301301301301301301302301301302302301301300300301301301301301301300300300299298298298296999999999999999999300298298298299300300299299299299299300299298298298297297297296297297297298298297297298298297296296297298298299300300300301301301301301300300301301301301301302302302302302302303303303303302303302302302302302303302302302302302302302302303303303303303303303303303303304304304304305305304304304304305305305305306306306306307307307999999999999999999999999999999305304302302302999999302303304304303303303303303303302302301302302302302302302302302302302302302302302302302302302302302302302302302302302302302302302302301302302302303302302303302302302302302302302302301301301301301301301302301302302302302303303303303302303303303303304304304304303303304304303303303303303304303303303304304304304304304304304305305304305305305305305305306306306306306306306305305304304304303302302302301301301301300300299299299299300298298297298297297296296296296296296295295296295296297298298299299300300301301302302302302300301302302302302303303302302300300298298297295296295294297297296296296296296296296296295295294295295295295295296296296298298297297297297297298299298298298298298298298299298298299299299300300301300301301302303303302303303303303305306306306306306306306305308306308309310310308306306305305304304303304304303303303303302302302302302301301301301301302302302302303303303303303302302301302302302302301301300301300300300299298298298298299299299299299298299298297297296296296296296296296296296297297297297297297296297296296296296296295295295294295295293294294294294294295296297297297297296296296296296296296297297297297297298297297297298298296296297297296297297296296296296295296296296296296295295295295294294294294294293293294293293293294294294294294294294294294294294295294294294294294294294294294294294294293293293292293293292292291291291292291291291291291291291291291290290291291291291291290290290290290289289289289289289289290290290290290290290290290290290290290291291291290290290290290289289289289289289289288288288288288288287287287288287287287287287287287286286286286286286286287287287287287287287287287287287287287287287287287287287286287286286286286286286286286286286286285286286285286285285285285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298298300301300300301301301302301302301300300300301301301301300300300301301300299298297296296293296296999999298298298300300300300299299300299300299298298298298297297296295295296296298298298298298298296296297297298298299300300300301301301301301301301300301301301301301302302302302302302303303303302302302302302302302302302302302302302302302302302303303302303302303303303304304304304305305304304304304304305305305305306306307307308308307999999999999999999999999999999999999999999999999999302303304304303303303303303302302302302302301301302302302302302302302301301301302302302302302301301302302301301301302302302302302302302302303302302302302303302302302302301302301301301301301301301301301302302302302303303303303303302304304304304304305305305304305304304304304303303303304304303304303304304304304305305305305305305305305305305306306306306306306306306306306305305305304304303303302302302302301301301300300299299299299298297298298297297297297297296297298296296297296297297297298298299299300300301302302302302301301301301301301303303302301300299298298298295295295295297297297296296296296295296296294294294294295296295295296296296298297298298297298297298298298298297297297298298298298298298298299299299300301300302301301302302302303303304305306305306307307306306305306306308308308308307307307305305305304304304303303303302303303302302302302301301301301301302301301302302302303302302302302302303302301302301302301300300299299299299299299299299299299299299298298297297297297297296296296296296296296296297297297297297296296296295295295295294295295295295295294293294294294295295296296296296296297295297296297297296297297297297297298297297297298298297296296297297297297296296295296296296296296296295295295295295294294294294294294294293293293293294294293294294294294294294294294295294294294294294294294294294294294294294294293293293293292292292292292292292291292291291291291291291291291291291291291291291290290290290290290289289289290290289290290290290290290291290290291290290290290290290291291290290290290290290289289288288288288288288288288288288287287288288288287287287287287287286286286286287287287287287287287287287287287288287287287287287287287287287286286286286286286286286286286286285285285285285285285285285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301299300300300300301301301301301300299300300300300300300299300300301301300299297297298297297297297298299299300300300300300299299300299299298298298298297297296295295295295296297298298298298297296296297297297298298299300301301301301301301301301301301301302302301302302302302302302302302302302302302302302302303303303302302302302302302303303303303303303303302303303303304304304304305305304304304304304305306306306307308308308308999999999999999999999999999999999999999999999999999302302302303303303303303303303303302302302302301301302302302301301301301301301302302302302302301301301301301301301302302302302302302302302302303303302302303302303302302302301301302302302301301301301301302302302302302303303303304304304305304305305305306306306306305306306305305305304304303303304304304304305305305305305306306306306306306306305306306306306306306306306306306305305305304304303303302302303302302301301300300300300299298299298299298297297297298297297298298298297297297297298298298298299299300300301302300301302301301301300301303303302301300299298298297295294295297297297296296296296295295295295296294294293294295295295294296296296297296297298298298298299298298297297297296297299298298298298298298298300301302300301301302302302303303304304303304304306307306307305305306306307307307307307306306305305305304304304303303302302302302302302302301301301301301301301302302302302302302302302302302302302302301301302302301301300300300299299300300300300299299299299298298297297297296296296296296296296297297297297297297297297297297296297296296295295295295295295296294294294295295295296296296296297296296297296297297297297297298297297298297298297297298297298296296297297298297297297296296296296297296296295295294295295294294294293294294293294293293293293293294294294294294294294295294294294294294294294294294294294294294294294294294294293293293293293292293292292291292292291291291292291291291291290291291290291291291290290290290290290290290290290290290290290290290291290290291290290290291290291291291290290291290290290290289289288288288288288288288288288288288288288288288287287287287287287286286287287287287287287287287287288287287288288287287287286287287287286287287286286286286286286286286286286285285286285285285286286286285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300299300299300301301301301301300299299299300300299299299300300301301300300299299298298298298299299299299299300300300300299299300299298298298298297297295295294294295296296297298297297297296296296297297298299299300301301301302302301301301301301301302302302301302302302303302302302302303302302303302302302303303303303302302303302303303303303303303303303303303303304304305304304304304304304305305305305306306306307308309309309999999999999999999999999999999999999999999999999999301302302303303303303303303303303302302302301302301301302302301301302301301301302302301301301301301301301301301301301301301302302302302302302302303302302302302302302302302302301302302302301301301301302302303303303303303304304304305305305305305305305305305306306306306306305305305304304303304303304304304305305305305306306306306306306306306306306306306306305305305306305305305305304304303303302302303302302301301301300300300300299299299299299299298298298297298297298297298298299298297298298299299299299300300301303301301301301301301300301303302301300300298298297297295298297297297296296296296296296296295295295295293294294295295295295296296297297297298298298298298299298297297297297296298298298298297297298298299299301300301300302302302302303304304304303304305306306304305304305306306307307307307307307305305305305304305304304304304302302302302302303303302301302302301302302302302302302302302302302302302302301301301302302301301300300300300299299299300300299299298298298298298297297296296296296296296296297297297297297297297297297297297297296296294295295295295296296295295294295295296296296296297297297297297297297297298297298298297298298297297297297297296297297296297297297297297296296296296296297296296295295295295295294294294293294293293293293293293293293294294294294294294294295294294294294294294294294294294294294294294294294294294293294294293293293293293292292292292292292292291291291291291291291291291290291291291291290289289290290290290290290290290290290290290290290290291290290290291291291291290290290290290290290289289289288288288288288288288288288288288288288287287287287287287287287286287287287287287287287287287288287287288287288287288287287287287286287287286286286286286286286286286286285286285285285285286286286285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299300299300300300300300301300299299299300300300299299299300301301300299299299299299298299298299299299299299300300299299299299299298298298297297295294294294295296297296297297297297296296296296297296297298299299300300301301302302301301301302302302302302302302302302303302302302302302302302302302303303303303303303303303303303303303303303303303303303303303303303304304304304303304304304305304305305306307307308309309309308999999999999999999999999999999999999999999999999999302302302303304303303304303303303303302302302301301302302302301301301301301301301301301301301301301301301300300301301301301302302302301302302302303302302302302302302302302302301302302302301302302302302303303303303303303304304304305306306306306306306306307307307307306306305305306305304304304304304305304305305306306306306306306306307306305306306306306305305305305305305305305304304304303303303303302301301301301301301300300299299299299299299299298298297298298299298298298299299299298298298299299299300300300301303301301301301301301301301302301300299299298298298298297297297296296296296296296296295295295295293295294293294295295296295295297296297298298298299298298299298298298297298298297297297299298298298298299299299299300301301301302302302303302304304306306304304304304304304305306307307307307307307305306305305305304304303304303302303302302303302302302302302301301302302302302302302302301302302302302301302302301301301301301301301300300300300299300299299299298298298297297297296296296296296296297297297297297297297297297297297297297297296296296296296296295296294295296295295296296296297297297298297297297297297297297299298298297297298297297297297297296296296297297297297297296296297296296296296296296295295294294294294294294293293293294294294294294294294294294294294294294294294294294294294293294294294294294294294294294295294294295294294294294293293293293293293292292292292291291291292291291291291291291290290290291290290290290290290290290290290290290290290290291290290291290291290290290290290291290290290290290290290289289289289288288288288288288288288288288288288288287287287287287287287287287287287287287287287287287287287288287287288288287287287287287287287287287286286286286286286286286286285285285285286285286286286285285284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298300299300300301301300300301300300299300299299299299299300300301301300300299299298299298299299299298298298299299299299298298298298298297296295295295294294294295296296297298298297296297296296296296297298298301300300301301301302301301301301302302302302302302302302302302302302302303302302302302303303303303303303303303303303303303304303303303303303303303303303303303303304304304304304304304304304305306307308308309309309999999999999999999999999999999999999999999999999999999302302302303303303303303303303303303303302302302301301302302302302301301301301301301301301300300301300300301300300300301301301301301302302302302302302302302302301302302302301301302302302301301302302302303303303303303303304305306306306306307307307307307308308308308307306306305306305304304304304304305304305305306306307307307307307307307307306306306308305305305305305305305305304306305304303303302302301302302301301300300300299300300300300300299299299299298298299299299299299299298298298299299299299299300300300303301301303304304302302302301301299299298298298298298298297297296296296296296296296295296296295293295294294295295295295296296297298298298298298299299298299298298298298299298298298298299299299298299298299301300300301301301302302302302302303304305306301304305304304306306305306307306307306306306305304305304304304304303303302303303302303303303302301302302302302302302302302302302302302302302302301301302302302302301301301301300300300300300300299299299298298298298298297297297297296296296297297297297297297297298298297297297297297297296296296296296296296295296295295296296296296297297297297297297297297297297297298300298298297298297298297298297297296296297297297297297297296297296296296296296296295295295294294293294293293293294294294294294294294294294294294294294294294294294294293293293294294294294294294294295294294294294294294294294294294293293293293293293293293292292292292292292291291291291291290290290290290290290290290290290290290290291291290290291291290290291291291290290290290290290290290290290290290290289289289289288288288288289289289288288288288287287288287288287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287286286286286286286286285285285285285285285286286285285285284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299299300300302301300300300301302302300299300300300300300300300299300300300300299299299298298298298297297297298298298298298297297297296295294294294294294294295295296297297297297296296296296295295296297298299300301301301302302302301301301302302302302302303303302302302302302303303303303302302303303303304303304304304303303303303303303303303303303303303302302302303303303304304304304304304305304305305306308308308308308308999999999999999999999999999999999999999999999999999301302302302303302303303303303303303303303303302302301302302302302302301301301300301301301300300300300301300301300300300301301301301301302302302303302302302302302302301301302301301302302301301302302302303303303303303303303305305305306306306307307308308307309309310308307307306307306306305305305305305305304305306306307307307307307308308308307307307307308306305305305305305304304305304304304303302302302302302302301301301300300300300300301301301301300301300299299299299298299299301298298299299299299299299300300302302302303304302303302302301299300299299298297298298298298298297296297296295296296295296296296293293294294294294294295295296298297298298298299299299300298298298299299299299298299299298298298298298298299299300300301301301302302301302302302303303304303304302303304304305304305305305305306306306305305304304304303303303303303302303303302302303303303302301302302302302302302302302302302302301302302302302302302302302302302301301301301300301300300300299299298298299298298298297297297296297297297297298297298297297297297297297297297297297296296296295296296295296295295295296296296296296297298298297298298297297297298298298298298297297298298298298297297296296297297297296297296295296296296296296296296295295295294294293293293293293293293294294294294294294295294294295295295294294294294294293293294294294294294294294294294294294294295295294294294294294294293293293293294293293293292292292292291291291291291290290290290290290290290290290290290291291291291291291291291291290290291291291290290291290290290291290290290290290290289289289288289289288289288289289288288287288288288288288287288288287287287287287287287287287287287287287288287287287287287287287287286286287287287287286286286286286286286286285285285285285285286286285285285284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298299300300301301301301302302302301300299299300300300300300300300300300299299298298297297297297297297297297297298297297297296296295295294293293294294294295296296297297297297296296296296295296296298298299301302302302301302302301301301301301302302302303302302302302302302303303303303302302303303303304304304304304304304303303303302302302302301302302302302302302303302303303303303304304304305305306307308308308308308308999999999999999999999999999999999999999999999999999302302302302302303303303303303303304303303303303302302302302302302302302301301301301301301300301301301301301300301301301301301301301302302302303303303303302302302301301301301302301301302302301301302302303303302303303303303304304304305305306308308308307308308309309309309309307306306305305305305305305305305305306306307307307307307308308308308309309309307306305305305305304304305304303303302302302302302302302302301302301301301301301302301301301301300300300300299300300299298300300298298299300299299299300298299301301301303304303303302301300299299299297297298298297298297297297296297297295295295294295295295295295294294294295295296296298298297298297299300299298299298298299300299297298298300300298298298298297298298299300299300300301301302301302302303303305305305305303303305304303303305306306305305305305304303304303303303302303303303302302302302303303302303302302302303302302302302302302302302302302302302302302302302302302301301301301301300301301301300300300299298299299298298297296297297297297297296297297298298298297298297297297297297297297297296296296295295294294295295295296296296297296297298298298298298297297298298298298298297298298298298298298297297296297297297297297296296297296296296296295296296295295295294295294293293293293294294294294294294294294294294295295295294294294294294294293294293293294294294294294294294294294295295294294294294294294294294294294293294294293293293293293292292292292291291290290291290290290290290290290290290291291291291291291291291291291291291291291291290290290290290290290290290290290290289289289289289289289289288289289289289288288288288288288288288288288288288287287287287287287287287287287287287288287287287287287286286286286286286286286286286286286286286286286285285285285285286286285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298299300300301301301301302302302301300300300300300299300299300300299298298297297297297296296297296297298297297297297297296296295295295293293294294295295296296297297297297296296296296296296297298298300302302302302302302302302301302301301302302302302302302302302302302302302303302303303303303304304304304304304303303303302302302302302302302301302302302301302303302303303303303303304304305306307308309309309308308307999999999999999999999999999999999999999999999999999999302302303302302303303303303304303303303303303303302302302302302302302301301302302302301301301301301301301301301301301301301301301302302303303303303302302301301301301301302302302302302302301301302302302302303303303303304304304304304306307307307307308308308309308308307308306305306306306305305305305305305306306307307308309309308309309308308308309308308306307305304304305304304304303303302302302302302302302301301302302302302302302301302302301301300300300300300300299299299299299298298300300298299299300298297298302302302302303303301300299299299298298298298299298297297296297297295295296293293295295295294295295295294294295296296297298298300300299299299299298298298298298299299297298298300299299298298297298298298299299299299300300301301302302303303303304306305304304304304303303303305304304304304305305304303303303303303302303303303303302303303303303303303302303303303303303303303302302302302302302302302302303302302302302302302301301300301301301300300300300299298298298298298298297297297297297297297297297297297297297297298297297297297297297297297296295295296296295294295295297296296296296296297298298298298297297298298298298298298298297298298298297297297297297297297298297296296296296296296296296296296295295295294294293293293294293294294294294294295294295295295294294295294294294294294294294293294294294294295294294294294294294294294295294295294294295294294294294294294294293293293293293292292291291291291291291290290291290290290290290291290291291291291291291291291291291291291291291291290290290290290290290290290290289290289289289289289289289289289289289289289288288288288288288288288288288288288288288288288288287287287288288288288287287287287287287287287286287287286286286286286286286286286286285285285285285286286286285285285284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297298300300300300300300301301301302301301300300300299300300300300300299298297297297296296296297296297297297297298297296296296295295295294294294295296296296297297297297296296296296296296297298298299300302302302302303302302302302301301302302302302302302302302302302302302303303303303303303303303304304304304304303303303302302302302302302303302302302302303303303302303303303303303304305306306307308309309309308307307999999999999999999999999999999999999999999999999999999301302303302302302303303303304304303303303303303303303302303302302302302302302302303302302301301301301301301301301300300301301301302302302303302303302302302302302302301302302301302302302302301302302303303302302302303304304304304304306306306307307307308308308309308307307306305306306305305305305305306305306307307307308309309310309308308308308307307306306307305305305305304304303303303303302302302302302302301302302302302302302302302301302302301301301300300300300300300300299299299299300300299298300299298298300300302302300302300300299300300300300299298298299298296296296295295296295295292293294294295295295295295294295295296296297298298300300299300299298299298298299298298298298299299299299297297297298299299298299298298298299300301300302302303304305304304306304303304303302303303305303303303303304304303303303303302302302303303303302303303303303304304303303303303303303303303303302302302302302302302303302303302302302302301302301301301301301301301300300299299299298299299298298297298297297297297298298297297298297297297298297297297297297297297296296296296294294294295295295296296296296296297298298299298298297297298298298298298298298298298298298298297297297297298297297296296296296296296296296296296296295294294294293293294294294294294294294294294294294295294294294295294295295295294294294293293294294294294294295294294294294294294294294295295295295295295295294294294294294293293293293292293292292291291291291291291291290291291290290291290291291291291291291291291291291291291291291291290290290290290290290290290290290290289289289289289289289289289289289289289289288288288288289289288288288288288288288288288288288288288288288288288287288287287287287287287287287287287286286286286286286286286286286286286285286286286286286285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300299299300300300300301301301301301300300300299300300300300300299298297297296296297297297297297297297298298297297296296296296295295294295295296296296296297297297297297296296296296296297298299300301302302303303303302302302301301302302302302303303303303303302303303303303303303303303303303304304304304304303304303303302302302303303303303303303303303303304303303303303303303304304305305306307308308308308308307308307999999999999999999999999999999999999999999999999999999302301301302303304304303304303304304303304303303303303303302303303302303302302302303303302302301301301301301301301301301301301301301302302302302302302302302302301301301302301302302301301302302302303303302302302303304304303304305305306307307307308308307307307307306306306305305305306305305305305305306306307307308308308308307309307307308307307306306306305304304304304303303303303302302302302302303302302301302302302303302302302302302302302302301301300300300300302300300300300299299300300299297300300297298301301301300300299299299300299299299299299298298298297296295297295294295295295295295295295294294295295294295295295295297297298298298301300300299299298299299299299299299299299299298298297297298298298298297298298298299299300300301302303303304304305306306306305305302303302303303302303303303303302303303302302302302302302302303301303303303304304304303304304303303303303303303303301302302302302302302302303302302302302302302302301302301301300300301300300299299299299299298298297298297297297297298298297297297297298297298297297297297297297297296296296296296295295295295296296296296297297297298298298298298298298298298298298298298298299298298298297297298298297298298298297296297296295295296296296296296296295294293293293294293294294295295294295295295294295295295295295294294294295295294294294294294295295295295295294294294294294294294294294295294295294295294294294294294293293293293293293292292291291291291291291290291291290290291291291290291290291291291291291291291291291291291291291290290290290290291290290290290290290289289289289289289289289289289289289289289289289288288289289288288288288288288288288288289289288287288287288288288288288287287287287287287287287287287286286287286286286286286286286286286286286286286286285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299298299300300300301301301301300300300300299299300300300299298297297296296296297297297297297298298298298297297296297297296296295295295296297296296296296296296296297297296295296296297298299300301302302303304303303303302302302302302303303303303303303303303303303303303303303303303303304304304304304304304304303302303303303303304304304304304304303304304304304303303303303304304304305306307307307308307307307308999999999999999999999999999999999999999999999999999999999999301302305304304304304304304304304304304304303303303303302303303302303303303303303302302302302302301301301301301301302301302302302302302302302302302302302302302301301301301302302301302301302302303303303303303303304303304304305305305307306306306307307307307306307306306306306306305305306306306306306306307308308308308308307308308307307307306306306306305304304305304304303303303302302302302302302302302302302303303303302302303302303302303301301301301301300300300300300299299299299300299299298298298299299302301301300300300300299300300300299300298297297295296296295293293294294294294294294294294294294294295295297296295296297298298298298299298299299298298299299299299299299298299299298297297297298298299298298298299299299300300301301302302303304305305306306305306305306301302303302303302303302302302303302302302302302302302302301302302303303304303303304304304304303303303303303303302302302302302302302302302303302303303302302302302302302301301300300300300299299299299298298298298298297297297297298298297297297297297298297297297297297297297296296296296296294295295295295297296296297297296297298298298298298298298298299298298298298298299298298298298297298297297298297297297297297296295295296295295296295295295294294294294294294294294295295295295295294295295295295295295295295295295295295295295295295293295295295295295295295294294294295295294295295295294295294294294294293293293293293293292292292291291291291291291291290290290291290290290290290290291291291291291291291291291291292291291291291291291290291290290290291290290290290289290290290289289289289289289289289288289289288289289289289289289289289288289289289289289288288287288288288288288288288287287287287287287287287287286286286286286286286286286286286286286286285286285285285284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300300300299300300300300300300300300299299299299299298297296296296296297297296296297297297297297297297298297297297297296296296296296297296295295296296296296297297296296295297297298299299300302303304304304304303302303302303303303303304303303303303303303303303303303303303303304304304304304304304304303302302302303304304304304304304304303303304304304303303303303304304304305305306307307306307307307306307999999999999999999999999999999999999999999999999999999999999300302304304304305304304304304304304304304304303303303303303302303303303303303303303302302302302301301301301301302302301301302302302303302302303302301302302302302301301302301301302302301302301302303303302302303304304304304305305305306306306306307307307307307306306306305306306306305306306306306306307308308308308308308307307307307307307306306306305305305305305304304303304303303303303303302302302302302302303303303302301304304303303302302301301302300301300300300300299300301299300300299299296298299301301300300301300299299299299299298299299299297298296296296295293292294293294294294294294294294293293294296296295295296296297297298298298299298298299299299299298299299299299299299298297297298298298298298298298299299300300300301301302302303304305305306302305306306302303302302302303302302302302302302302301301302302302302303302302303302302303303303304304304303303303303303302303302303302302301302302303302303303303303302302301302301301302301299300300300300299300299298298299298298299297297297297298297296296297297297297297297297297297297297296296296296294295296296296296296296297297297298299298298298298299297298299299298298298298298299298298298297298298297297298297296296297296296296295295296295295295295294293294294294294294294294295295295296295295295295295295295295295296295295296295295295294294295295295295295295295294294295294295295294294294294295295294294294294294293293293293292292292291291291292291291291291291291291291291291290290291291291291291291291291291291291291291291291291291291290291290290291291290290290290289290290290290290289289289289289289289289289289289288288289289289289289288288289288288289288288288288288288288288288287287287287287287286287286286286286286286286286286286286286286286286286285285285285285284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299299299300299300300300300299299299299298298298298296296295295297296296296296296296297297297297297297298297297297296296296296297297297295295296296296295296296296296296296297298298299300301302304304304304303303303303303304303304304304303303303303303304303304304304304304304304304304304304304304303302303303304304304304304304304303304304304305304303303303304304305305305305307307307307306305305306306999999999999999999999999999999999999999999999999999999999999999302304304304304304304304304304304304303303303303303303303302302303302303303303303303303302302302301301301301302301301302301301302303303303303303302303302302302301301301302302302301302303303303303303303303303304304304305305305305305307306306306306307307306306306305305305306305305306306307307307307308308308308308308307306306307306306306306306305305306305305304304303303303303304303303303302302303302302302302302301300302303303302302302301302301301301301301300299299298299299299299298299298298298300301300298300299299298298298299298298298297298298297297296294295295294294294294294294295295294293293294295295295295295296297298298298298299299299298298298298298298299299299299298298297297297298297297298298299299299300300300302301302302303304305305302305306306305304302302302301302301302301301302302301302301302302302303302303302301302302302303303303303303304303304303303303302302303303303302302303303302303303303303302302302302301301301301300300300300300300299299299298299299298299299298297297297297297297297296296298296296296297297297296296296296296294295296297297296296297297297297298298299298298298298298298299300299298298298299298298298297297297298297297297297297297296296295296295295296295295295294294294294294294294294295295295296295295296295295296296296296296296296295296296295295295295295295295296296295296295294294294294294295295295294294295295294294294293294294294293293292292292292291291292292291291291291290291291291291291290291291291291291291291291291291291291291291291291291290290290290290290290290290290289289290289289290289290290289289289289289289289289288288289289289289289289289289288288288288288288288288288288288288288287287287287287287288287286286286286286286286286286286286286286286286286285285285285285284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299299299300299299299299299299299298299299299298298296296295296297296296296296296296296297297297298297298297297297296295294295296296296296296296295295294295295296296296297297298298299300301302303304304304304303303304304304304304304304303304303304303304304304304304304304304304304304304304304303303302303303304304304305305305304304304305304304304304304304305305306306306307307307307306306305305305305999999999999999999999999999999999999999999999999999999999999302303304304304304304304304304304304303304304304304303303303303302303302302303303303303303302302302302302301302302301301302302302302303303303303303302302302302302301301301302302302302302303304303303303304303303304304305305305305305305305305306306306306306306306306306305305306306305305306307307307307308308308307307308307306306306306306306306307306305305305305304304303303303303304303303303304303303303304303303301301301303303303303302302301302302302301301300300299299299299298300300299299299299299298300298297298298298298297297297297298298298298298297296296293295295295295294294294294295295294294294294295295295295296296297298298298298298298298298298298298298298299298297297297296296296296296296298298298299299299300299300300301302302303301301302305307307305302302302302301302302301301301301301301302301301302302302302302302302301301301303302302303303304304304303304304304303302302303303304303304303303303302303302302301302302302301301300300300300300300300300299299299299299298299298298298297297297297297297296296296296296296296297297297296295295295294296297296297297297297298297297298298299298299299298298298299298299298298299299297298297298298298297297297297298296297297296295296296295296296295294294294294294294295294294295295295296296296297296296296296296296296296296296296296296296295295296296295296296296295295294295295295294295294294294294294294294294294293293293293293293293292291291291291292292291291291291291291291291291291290290291291291291291291291291291291291291291291291290290290290290290291290290290290290290290290290290290290290290289289289289289289289289288288289288289289289289289289289288288288288288288288288288288287288287287287287287287286287286286286286287286286286286286286286286286286286285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299299299300300300299298298298298298298298298297295295296295296297296295295295296296296297297297297298297297296295295294295297297297297297296296295294294294295296296296297298299299301301301303304305304304304304304304304305304304304304304304304304304304304304304304304304304304304304304304303302303302303304305305305305305305305305305305304305305305305305306306306307307307307307306305304304305306999999999999999999999999999999999999999999999999999999999999302304304304304304304304304304304304304304305305304304303303303303303303303303303303303303303302302302302302302302302302302302303303304303303303303303303302302302302302302302302302302302302301303303303303303303303304304304304305305305305306306306306306306305306306305305306306306305305306306307307307308308308307307307307306306307307307306307306305305305306305304305304304304304304304304304304304303304304303302302302302302303302302302302302302302302301301301300299299299300301300300298299299299298298299297297297296297297297297297297297297297298298297296295295295295294295294294294294295295295294294294295295295296295295297298298298299298299300298298298297297298298297296296296296296297297296297297298298297297299299299298300301300300300301301302303304305301302302302302301300300303303302303302301301302302302302302303303302303302302300301302302302302303303303304303304303303303302302303303303304304303303302302302303303303303302301301301300300300298299300300300299299299299298300299298297297297297297297297297297297297296296296297297297296295295296295296296296296297297298297298298298299299298299299298299298299298298298298299298298297297298298296297296297298297297297296296295295295296296296295294294294294294295295295295296296296296297296296297297297296296297296297297297296296296296295295296297295296296296295295295295295295295294294294294294294294294294293293293293293293293293292292291292291292292291291291291291291291291291291291291291292292291291291291291291291291290291290290290290290290290290290290290290290290290290290290290290289290290290289289289289289289289289289289289289289289290289289289288288288288288288288288288288288288288288288287288288287287287287287286287286286286286286287287286286286286285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299299299299299298298298298298298298297296295294295295295295295294295295295295295296297296296296296296296295295295296297297297297298296295295295294294296296296296296298299300300301302304305305304304305305304304304304304304304304304305304304304304304304304304304304304304304304304303303302303303303304305306306306305305305305305305305305305305305305305306306307307307307307306305304304304999999999999999999999999999999999999999999999999999999999999999303304304305305304304304304304304304304304304304304304304303304303303303303304303303303303303303302302302302302302302302302303303303303303302303304303303302301302302303302302302301302302303303302303303303303303303303303304304305305306305305306306306306305306305305306305306306305305305306307307308308307307308308307307307307306307306307307306305305305305305305305305305305304305305304305304304303304305305304302302302302303303303303304303303303303303302300301299299299299299300302300300299299298298298297298297298297297298297297297298296297297298297297296295296295294294294294294294295295295293293294295295295296296296296298298298298299299299298298299299298297299297297296296297295296297296298298297298297296296297297298299300301301300301302302302302302301302301301302302301300301303302302302302301301301302302303303303303302302302302300300302302302302303303303303304304304303303303302303303304305303303303303302303301303302303302301302301300300299299299299300300299300299299299298298297297297297297297296297296297297297296296296296296296296296295295295296296297296297298298299298298299299298299298299298298298298298298298298298298299298297297297297297296296298297298296295295294295296296296295295295294294294294295295295294295295295296297297296297297297297296296297296297297297296296296295296296296296295295295296295295295295295295295294294294294294294294294294293293293293293293293293293292292292292291292291291291291291291291291291291291291292292292291291291291291291291291291291291290290290290290290291290290290290290290290290290290290290290290290289289289289289289289289289289289289289289289289289289288288288288288288288288288288288288287288288287288288287287287287287287287286286286286286286287286286286285285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300300298298298297298298298298298297296295294294294294293294294294294295295295296296296296297297296296296296296297297297297297296295295295295294295296295296295298299299300300301302303304304304304305305304304304304304304304304304305305305305304305305305305304303304304304304304303302303303304304305306306306306306306305305305305305305305305306305306307307307307306307307306306305305304999999999999999999999999999999999999999999999999999999999999303303303304304304305304304305304304304304304304304305304304304304303303303303304304304304303303302302302302302302302303303303304303303303304303303303304303303303303302302302301302302302302302303303302304303303303303304303303303304304305305305306306306305306306306305306306306306306306306306307307307308308308308308308307307308307308307307306306306306306306306306306307306306306306305305305305304304305306304303303302302303303303303303303301302302303302303302300300300298299300299299300300299299299296297298297296296296297296297297297297297297297297296296293294295295294294294294295295295295295294293294294295296296297297297298298300299300298298297298298296298299298297296297296295296295297298296298298297297296298297298298299300299299300301301302302301301302302302302301303302303301301301301301302301301301302303303303303303303302301301301302302302302302302303303303303303303302303302303303303302302303302302303303303302301302304302301301300301300300299300299300300300299299299299299298297297297297297297297297296297296296296296296296297297296296294295296296297297296297298298297298298299299299299298298298297298298298298298299299298298297297297297297297297296297296297296296296295295295295296295295295294294294294295294295295295296297297297297297297297297297296297296296297297296296296296296296296295295295295295295295295295295295295295294295294294294294294295294294293293293293293293293293292292292292292292291291291291292291292292291291292292292292292291291291291291291291291291291291291291291290291291291291291290290290290290290290290290290290290289290290290289289289289289289289289289289289289289289289288288288288288288288288288288288288288288288288288287287287287287287287287287286287287287287287287287286286285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302301299298298297298298298298297296295294293294294292293294293293294294295295295296296296296295296296295295296296296295293294293293294294295296295295295296297299299300300301301302304304304304305305304304305304304305305305305305306305305305305304305304304304304304304304303302303303304304305305306306306306306307307307306306305306306306306307307307308307307307307307306305305305304999999999999999999999999999999999999999999999999999999999999303303304305305305304305305305305305304304304304305304305304304304303303303303303303304303303303303303303302303303303303304304303304304304304303304303303303303303303302303302303302302302302302303304303303303303303303303303303304303304305305305306306306306306306305305306306306306306306307307307308308309308308309309308308308308308308307307307308307307307308307307307308307307306306306306306305305305304304303304302303303303303303303303303301302302302302301300301299299298297297299297297297297297297296296298295295296297297296296296298297296297298296296296294294295294294294294294294295295296295295294295295294297296297297297298298299300300300299299298298298300297297297296298296297296295296297297297298298297298298296296297297299299299301301301302303303301302303302304303303304302302300301301301303302303302302303302302303303303302302301301301301302302302302303303303303303303302302302302303303302302303303303303302302301301302301301301300301301300300299300299300300299299299299298298299298297296296297297297297296296296296297296297297297297297295294295296297297297297299299298298298299299299299300299298299298298298298298298299298297298298297298297298298298297297296297296296296295296296297296296295295295295295294295295296296295296297297298298298298297297297297296296296297297297296296296297296296295295295295295296295295295295295295295295295294295294295295294294294294294293293293293294293293292292292292292292291291291291292292292292292292292292292292292291291291291290290291291291291291291290291291290291291291290290290290290290290290290290290290290290290290290290290290290289290290290289289289289289289288288288288288288288288288288288288288288288288288287287287287287287287287287287287287287287287286286286286286285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298298297298298298298298298297295294293295296293293293293293293293294294294294294294295295295295295294294294294294293293293293294294295296295297296298298298299300301300301302302303304305305304304304305304305305305305305305305305305305305305305304304304304304304304302302303304304305305305306306306307307307307307307306306306306307307307307307308308308307308307307307305305303999999999999999999999999999999999999999999999999999999999303303304304305305306305305305305305305305305304304305305305304304304303303303303303304304304303303303303303303303303303304304304304304303304304304304304304303303303302302303303303304303302302301302302303302303303303302303306303304304305304305305305306306307306306305306306306307307307307307307307309308309309309310310310309309309309308308308308308309308307307307308308308307307307307307307307306305305304303302303303303303303304304304304302302302302302303301301300300300300298298297297297296297297297296296295296294296296296297295297298297296297296296296296295294295294294293295296295295295295295294294295296295297297297298298299299299300300300298297298298300300299297297297298296298297295296297297298298297297297297297296298299299299299300303302303302300303303304304303302303304304303300301303302303303303303302303302302303303302303301301301301301302302302302303303303303304303302302302302302303303302303302301302302302301302302302301300300301301301300299299299300299299298299298298298298298298299297297297297297296296297297296296296297297296295295295295296297298298297298299299299299298299299300300299300298298298298298298299299299299298298297298298298298297296297297298297296296295296296297296296295295295295295295295295295296295297297298299299298299298298297297297296296296296296296296296296296296295294295295295295295295295295294295295295295295294295295295295294294294294293293293293293293293293292292292292292292292292292292292292292293293293293293292292292292291291290291291291291291292291291291291291291291291290290290290290290290290290291290290290290290290290290290290290290289290290289289289289289289288288288289289288288288288288288288288288288289288288287287287288287287287287287287288287287287286286286286286285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303298297297297298298298298297295293293294293292292292293293293293293293293294294294294294295294294295295294294293293293293294295295296296296297298298298298299299300301302303303303304304305305305305304305304305306305305304304305305305305305305304304304304304304303302303303303304305305305306306307307307307308308307307307307307306307308308308308308308308307307999308305305304999999999999999999999999999999999999999999999999999999999303304304304305306306305305306306305305305305305305304305305304304304303303303303303303304304303303304303303303303304304304304304304304304304304304304304304303304303303303303303303304303303302302302303304304303304303303304304304304304305305306306306307306306306306306306307307307307308308308308309309309310310310311309309310309309309309309309309309308308307307306307308308307307307307308308306305305305304303303303303303304304304304304304303305303304301302302300300299300301298297296296297296296296296296295296297297296296296295298297296296296297296297296295295295295294294294295295295296296296296293294294295297297296297299299299298297298298297297297296300300297298298297298298298297296296297297298298298298297298297299298300299300299299300300302303304303301302301301301303303301301300301301301302303302302302302303302301302302302302302302301301301302301302302303303303302302302303302301302302303302303303303302303302302301302301302302301300300301301300300300301301300299299300299298298299299299298298297298297297297296297297296297297298298295295295296296297297297298297298299299299300299299299300300299299299298298298298298298297298297298298297297297296297296296298298298298297295296296296296296296296296295296295295295295295296296297296297299299299298299299298298297297296297296296297297296296296296295294295295295295295295295295294294295295295295295295295295295294294294294294294294294294294293293293293292292292292292292292293292293293293293292293293292292292292292291291291291292292291292292291291291291291291291291291291290290290291290290290290290290290290290290290290290290290290290290290290290289289288289289289288288288288288288288288288288288288288288288287287287288287287288287288288287287287287286286286286285286285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299297295297297297298297295294292292292292291291292292292292292292293293293294294294294294294294295295295294295295294295296295296296297298298298298299299300300302302302302302304304304305304305304304304304304305304304304305305305305305305305305304303303303302302303304304304304305305306306307306307308308307308308308308307307308308309309309309308308308308999999305305304305999999999999999999999999999999999999999999999999999999304304304304305305306305305305305305305305305305305305304304304304304304304303303303303304303303303304303303304304304305305304304305304305305305305304304304303304303303303304304304303303303303303302303304304304303303303303304304304304305306306307307307307306305306305306306307307308308308308309309309311311311311310311310310310310310310309309309309309308307307306307308307307308308306306306306306305305305305304304304304304304304302302305305305305304304304301301299300300300298297297297297296296295295295295296296297295294295295295295295296297296296295295294295295296294294295295295295295294296295295294295295297298297299300300299297296297295296297297298297298297296296296296297296297296296298300298298298297299298297299298299299298298301300301303301304303301301302302302301302302302301301301301302302301302302302302302301302301302301301301301301302302303302302301302302302302302302302301302302301301303303303302303303303302302302301301301300303301300300301300301300298300299299300299298298298298298298298297296297298297297297296297297297298295295296296297298298298298298299299300300300299299300300300299300299299298298298298298298298298298297297296297296297297297298298298297297296296296296297297296296296295296295295295295296296297297297298298298299299299299298298298299298297297297297296296296296295295295295295295295295295295295295295295295295295295295295295294294294294294294293294294294293293293293292292292293292292292293293293293293292293294293293293293293293292292292291292292292292292291292291291291291291291291290291290290291290291291290290291291290291290290290290290290291290290290290290290290289289289289289289288288288288288288288288288288287287287287287287287287287288288288288288287287287287287286286286286285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298296296297298298297295294293292292292291290291292291291291291291292292293293294294294294294295295295295295295295296297297296297296297297298298298299300300302302302302303303303304304304303303303304304304304304305304305305305305304305304304303303303302303303303304304304305305306305306306306307308308308308308309309308309309309310310309308307308308309999999306305305305999999999999999999999999999999999999999999999999303304304304304305305305306306306306305305305304305305304305304304304304304304304304304304303304303304304304304304304304305305304304304305305305305304304305305305304304304303303303304304304304304303303303303304303304303303304303305304304305305306306307307307306307306306305306306307308309308308308309309310311311311310309310311311310310310309309310310309309308307307306306307307308307307306306306306306306305306305305304304303304304304304304304304305304304304302301302299299299299298297297298296295295295294295295295296295295294295295295295295296297296295297297295294294295294293295295295297297296296296296295296296298296298299299300298296296296297297298296296299298299297297298298297297297297297298300298298297298297298298299298297299299301302302303302301301301301301302303301302302302302300301302301302301302301302302302302302302302302302301301301302302302303302302302302302302302302302302302302301302303303303303303303303303302302302302302301302301300300302300300300300299300300300300299299299299299299299298297299297297298298297298297299298295295296297297298299299299299299299301300301301301299299299299299299299299298298299298299300299298298297297297297298298298298299298299298296295297297296297296297296296295295295295296296296297297297297297297298299299299299298298298298298297298297296297296296296296295295295295295295295295295295295295295296295295296295295295294294294294294294294294294294293293293293292292292293293292293293293293293293293293293294293293293293292292292292292292292292292292292292291291291291290291291291291290290291290291291291291290291290291290290290290290290291291290290290290290290289289289288289289289288288288288288288288288287287287287287288287288288288288288288288287287287287287287286286286286286285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296295296297297296296294293292291291291290290290291291290291291292292292293293293293294294294295295295295296296297297297297297297297298299299299299300300302301302302304303303304304303303303303303303303303304304303304305304304303303302303302302302303303304304304304305305306305306306306306308308308308308308309309309309310310311309308307307307307307999999999307307999999999999999999999999999999999999999999302302303303304304304304304304305305305305305306306305305305304304304304304304304304304305304304304304303304303304304304305305305305305305305305305306306305305304305305305305304304304304304304305304305305304304303303303303304304304304304304304304305305305305307307307308307308308308307308309310310309309310310310312311310311310310311311310310310310310310310310308308308307307306307307306306306306306306306307307307306306305305305304304304303304304302303302304304302303302303300300299299298298297299298298297296294294296296295295293293292294295294295296296296299296297297297296294297298296296297296296297296295295297297298298297297298298300297296296296296297295298296296298298298294296296296297296297298299300299298299299299299299298298298300299301300302303301304301300300299301301300301300301301301302301301301302301302302302301302302303303303302302302300302302302303302302301302302301302302302302303302301302304302303303303303303303303302302302302301301300302300301301301301300300300300300299299300299301299299300299299297298299298298298298298297299297295296297298298298299300301300300299300301302301301299299300299300299300299299299299299298299299298298297297297297297298299298298298298298296296296297296296297297297298297296295295296296296297297297297297298298299298299299299299298298298299298298297296296296296296296295295295295295295295295295295295295296295295296296295295295294294294294294294294294294293293293293293293293292293293293293293293293293293293293294293293293293293292292292292292292292292292292292291291291291290290290291291290290290291291291291290290291291290291291290290290290290291290290290290290290289289289289289289289289289288288288288288288288288288288288288288288288288288288288287287287287287287287286286285286285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296296295296295296295293292291289290289289290291291290289290291291292292292293293293294295295295295295296297297297296297297297298299300298300300300301301301302302303303303303303303303303302302302302303303303303304303303303303302302302302302302303303303304304304305305306307307306307307309309308308308307308308309309309309309309308308308307307307999999999999999999999999999999999999999999999999999999304303303304304304304304303304304305305305305306306306305305305304305304304304304304304305304304305304304304303304304304304305305306305305305305306306306306306305305305305305306305304305305304305304304304304304303303304303304304303304305304305305305305305306306308308308308308308308308309309309309309310310310310310311311311310311311311310310310310309309309309309309308309308306305305305306306306306306306307307307307306306305305305304304303303304304304302303304303303300300301300300299299298297299298298297297297294294294294295295293293292292294294294296298297298297297298296296295297299297295295294296297297296297297298298298298297298297298297296296297298297298300298298298299297295296298297298298299298300299299299300297299300298299300300299299300301301302300300299300301301301301301301300301301300301300301301301301302302301302302302302302303302302302302302302302302302301301301301302301302301302302302301301303302303303303302302303303302302302301301301301301301301301301301301301300300300299300299300300300300300300299299299298299299298299297299298296296297297298299299300299299300299299300299301301300299300300300300300300299299299299299299299299298298297297298298298298297297299298297298297296296296297296297297298298297297296296296297297296297297297298298299299298298298299299298298298299298298297297297296296296296295295295295295295295295295295295296296295296296295295295295295294294294294294294294294293293293293293293292293293293293294294293294293293293294293294293293293293293293292292292292292292292292291292291291291291291291291291291290291291291291291291291291291291291291290290290290290290290290290290290290289289289289289289289289289289289288289288288289288288288289289288288288288288288287287287287287287287286286286286285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296295295295296295295294293291291289289290290290290290290290291291291292292293293294294294295296295295296297297297297298298298299299299300300300300301301301302303303303303303304303303302302302302302302302303303303303303303303302302302302302302303303304304304305305305306306307307307307309308308308308308308307308308308308309308308308307307307306307999999999999999999999999999999999999999999999999304304304304304303304304303304304304304305305305306306306305305305304304304304304305304304305304304305305305304304304304304304304305305305305305306306306306306306305305305305306306306305305305305305305305305304304304303304304304304304305305305305305306305306306308308308308309307308308311311309310310310310312310310312312312310311311311311310310310310310310309309309309309309307306305305306306306306307307307307307307307307306306305305304304304303303303303304304304302303300300301301299299299298299298297297297297297294295294294294293292292292292293294296297297298298300299298295296297297297297295296295296297296298297296298297299298298299298297296297296298297297301300300300299298297295296296298298297297298299299299299298299298298299299301300298299299301301302300299299301301301301301301301301300301301301300300301300301302302302302302302302302302302302302302302302301302301301301301301302302301300301302301302301303300303302305304302303302302303302301302303303302301301301302302301301300300300300300300301301301301301301300299300299299299299299299300297296298297298299299299300298299300300300300301301301299299300300300300300299299299299298299299298298298298298298298298299297296297297298298296296296296296297297297297298297297297297296296297296297296297297297297298298297297298298298299298298298298298297297297297297296296296296295295295295295295295295295296295296296296296295295295295295295294294294294294294293293293293293293292293293293293294293293293293293293293293294294294293293293293293293292292292293292292292292291291291291291291291291290291291291291291291291291291291291291290290291290290290290290290290290290289289289289289289289289289289289289289289289288289289289289289289288288288288288288288287287287287287287287286286286285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295295296296297296295294292291290289289290290290290290291290291291292292293294294294294295295295296296297297297298298298298298299300300301301301301302302302303303303302302304304303303302302302302302303303304304303303303303303303302303303303303304304304304305305306306307307308307307308308308308308308308308307307308308308307307307307306306305306999999999999999999999999999999999999999999999999999303303303303303304304304303304304304305305305306305306305305305305305304304304304305304305304304304304305304304304304304304305305305305305305305306306305306305305305305306307305306306306305305305305305304304304304303304304304304304304304305304305305307307308308308308309310310310311309309310312312312312312312311312312310312311311311311310310310309309309309307308307307307307306306306305306306307307307307307308308307307306306306305305304304303302301302302304303303302302300299299299299298299299297297297297297295295295295294293293292292292293295295296296297298299297297297295295297297297296295298297297297296296296296298297299298298299298298298297299297296296300300300300298296298297296297298298297298299298297298298299298297298299299299298300301299300299299301300301300301302300301301301301301301302302301301301301303302303303302302302303303302302302302301302302302302301301301301301302302302302302301301302301303301302302303303302302302302302302302302302303302301301302301300300301300300300300302300300301301301301300300299299299299299299299298300298298298298299299299299299300299298300300300301301300299299300299299300300299299298298298298299298298297297298298298299299297296296297296297295296295295296297297297297298297297297296297297297297297297297297297297298298297298298298297298297297298298298298297297297297297297296296296296296296295295295295295295295296296296296295295295295295294294295294294294294294293293293293293293293293294294294293293293293293293293294294294294293293293293293293293293293293292292292292292291291291291291291291291291291291291291291291291291291291291290291291291291290290290290290290290290290289289289290290289289289289289289289289289289289288288289288288288288287288288287287287287287286287286286286285285285284284285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295295295295295295294292291289289290290290290290290291290290291292293293294294294295295295296296297297297298298298298298298299300301302302301302302303303302303303302303303303302302301301301302302303303303303304304303303303303304304304303303304305304304304305305306307308307307307308308309308308308308307307306306306306306306306306307306305305999999999999999999999999999999999999999999999999999302303303303304304304304303303303304304305305306304305305304305304304304304305305305305304304304305305304304304304305304305305305305305305305305306306306305305305306305305305305306305305305305305305305304305303303304304303304303304304304305304307306307307307307308308308309309310310310309311311311310311310311312312311311311310310308308308308308309308308307307306308306306306306305305306306306307306307307307307307307306305306305305305304304305302302302303302302300300299299299299298298297297297296296297297294295295294293294293294295294294296294294295296297297297298298297297298294297295295296297298296297297296296297297298298297297297297297299297299296297297300297298297298297297297295299297297299299301296297298299300298299298300298301300301300300301301300300301300301301300301302302302302302302302300302301301302302301300303302302301302301302302302301301301302301300301299300299300301301300302302302302303302302301302302302302302303302303302302301302302303302302301301300300299299299300300300302300301301301300301301300299299299298298299299299297297298298299299299299299300299298299298301302301300300299299300300299299299299298298298298298299299298298297297297298298298298298297297297297296296295296297297297297297298297297297297297297297297296296297298297298299298297297298298297297298297298297297298297297297297296296296296296296296296295295295295296296296296296296296295295295295295294294295295294294294294293293293293293293294294293293294294294293293294294294294294294294293293293293293293293292293293293292292292292291291291291291291291291291291291291291291291291291291291291290291291290291290290290290290290290289289289289290290289289289289289289289289289289289288288288288288288288288288287287287287287287286286286286286286285285285285284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295294295295295294292290291290290290290290290290290290290291292293293294294295295295295296296297298298298298298299299298299300301302302303303304304303303303302303302302302302302302302302302302302303303303303303303303304304304304304304304305305305305304305305306307307306306308308309308308308307308307307306306306306305306306305306305305305999999999999999999999999999999999999999999999999303302303304305303304304304303303303304304304305305305304304304304304304305305305305305305305305305305305305304304305304305305306305306306306305305306306305305305305305306306306306305305305304305305305304304304304304304304304304304304304304305304305306306307307307308307308308309309310311310310310310310311311310311311310310310309309308307307307308307308307307306306305305306306306305305305306306306306306306307307306306305305306305305305304303303302302302302301302299299298298298299297296297298297297296296297294294295294293292292293295294295295294294295296295296296298298297297298297297296296296296297297296297297298297297298298298297296297297298299297296299298298298299299297297298298299300296299299300298297299301301300300299299299300301301301301302301301301300300301301301302301301303302302302301301301302302302302301302302302302302302301302302302301301300301300301301302300300299300300300301301301302303303302302301302302302303302302302302302302302303303302302302301301301301299301300299299300300301301300301301301301300299299299299299299300297297297297298299299299299300300299299299299300301300300301298299300300299299299299298298298298298299297299298298298298298298297296296296297298296296296295296296297297297297297297297298297298297297296296297297297297297297298298298298297297297298298297297296297298297297296296295296296296296296296296296296296295295296296295295295295295295295295295295295295294294294294293293293293293294294293294293294294294294293294294294294294294294294293293293293293293293293293293293292292292291291291291291291291291291291291291291291291291291291291291291291290290290290290291290290290289289289290290289289290289289289290290289289289289288288288288288288288287287287287287287287287287286286286286286286285285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295295295295294292291290290290289289290290290290290290291292293293294294295295295295296296297297298298298298299299299299300301302302302303303304304303302302302301302302302302302303303302302302302303303303303303303304304305305305304304304304305305305305305306305305305306308308308307308308308307307306305306306306305305305305305305304303999999999999999999999999999999999999999999999999302302304304305304305304303303303304304304304304304304305304304304304304305305305305305305305305305305305304304305305305305305305305306306306305305306306306306306306306306306306306305304304304304304304304304304304304304305304304303304304304305305305306306306307307307307308308308309309310309310310310310310310310310310310309309308308308307306306306306306306306305305305305305306306305305305305306306306306306306307306306305305305305304304303303303303302302302301300298299298298296296297297297297297297296296296296293293292293293294296296296296295293294295295295296296297297298294297298296296297297297297296297298298297298298298298297299297297296297298299298298298299300299298297297297298298298298298297299299298299301299300299299298299301300301301301301303302301300300301303302301303302302302302301301301301302302303302302302302302302301301301301302301300300301300301301300303300299299300300299301301302303302302302302302303302303303303301303303301304303303303303303304302301302301300300300300299300300300301300300301301301300300300300299300300298298298298298298299299300300300299299300299299299300300301301301300300300299299299298298298298298299299297297297298297298299297299297296296297296296296297297297298297297297297297297298298297298297297297297296296297298298297297298298297296297297298296296296296295297297297297296296296296296296296296296296296296296296296295295296295295295295295295295295295295294294294294294294293293293293294294294294294294294294293294294294294294294293293294293293293293293293293293293293292292292291291291291291291291291291291291291291291291291291291291291291291290291291291290290290290290290290289290290290290290290289289290290290290289289289289289289288288288288288288288287287287287287287286286286286286286286285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293294293291293291290290290289289289290289290290291291292292293294294294295295295295296297297298298299299299299299300300301301303302303302304305304304305302301301303303302302302303303303302302302303304303303303303304305305305305304304305304305305305305305305305305305306307307307308308307307307305305305306305305305305304305304303302999999999999999999999999999999999999999999999302302303303304304304304304303304304304304304304303303304304304304304304304305305305305306305305305306305306306305306306305306306305306306306306306306306306307306306306306306306306306305305305305304304304304304304304304304304304303303304304304304305305306306306307307306307308308309307309308308310310310309309309309309309309309309307307307306306306306305306306305304304304303305307306305305305305306306306306306306306306306305305307304305305303303303302302301301300299298298297297297295297297297297297296295295295295295296293293292293295294294296295295295295295295296294294296296295295295295296297297297297296298298298297297298299299299300299299297298299299298296296299300299298297297298298298299298298299299298298299299299300298298298300301300301301302302303302301301301301302300300302302302302302302301301302301302301301301302302302302301301301301301301300301301300301301301301301300302301300299300301301302303303302302301303303302303303303302302302303302302302303302301302300300300300300300300300301301300300301301300300300300300300299299300300299298299299298298299299300300301300300300301299299300300301301301299300299298299299299298298298298299299297297297297296299296296298297296295297297296296297298297297297297297297297297297297297297298297297297296296297297297297297297297297297296297297297296295296296297296296297296296296296296296296296296296296296296295296295295295295295295295295295295295295295295295294294294294293294294294294294294294294294293293293293293294294294294293293293293293293293294293293294294293293292292292292292292292291291291291291291291292292291291291291291291291291291291291291290291290290290290290290289290290290290290290290290290290289289289289289288288288288288288288287287287287287287287286286286286286286286286286285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293293292293291290290290289289290290289290290290292293293294294294294294295295295296297298298298299299299300299300301301302302302302302304304304304304303302302303302302303303304303303303303303304304303303303304304305305305305305305304305304303304305305305305305305307306307307307307307306305304304304304305306305304304304304303302302999999999999999999999999999999999999999999303303304305304304304304303303304304304304303302303303303303303303303303303305305305305306306305306306307305306306306306306306306306305306306306306306306306307306305306305306306305305305305304304304303304304304304303303303304303304304304304305304304304305306306306306306306306307307307307308308309310309308308308309308309309308308307307307306306306305305305305305304304303303303305305305305303304306306306306306306306306305305305306306305303304303303302302301300299299298299297296296297297297296297296295294294296295295295294296296295295295295295295294295295295295295292293295296295295295295296297296297297297298297298299299299298300300301298297298297297297298297296298298299298297298297297299299299299299299299299299300299298299299298300301301301302302302302302301301301301302301302301301302301301301301301301301301303302302301302301301301301301301301301301300300300300301304301301301302300300300300300302302303303303302303303303303303303302303302301303302302302302302302302300301301300300300300300300300301300300301300300301301300300299299299300298299299299299299300300301300299299300300300299299300299301301301299299299300300299299299299298297296297296297297297296297296296296296295297297296295296298297298298298297297297297297297298297297296297297297297297297296297297297298297297297296296296295294295296295296296296295296295296296296296296296296296296295296295295295295294295295295295295295295295295295295295294294294294294294294294294294294294294294294294293293294294294294294294293293293293293293293293293294293294293293293293293292292292292291291291291291292292292292291291291291291290290290290290290290290290290290290290289290290290290290290290290290289289289289289289289288289288288288287288287287287287287287287287287286286286286286286285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294294294292292291289289288288289289289290290291292293293294293294294294294295295296297298298299299299299300300300300301301302302302304304304304305305305304303304304303304304304304303303303303303304304304305304305304305305305305305305304303303303305305304304305305306305305306306306306305304304305305305304305304304303303303303302302999999999999999999999999999999999999999999999303303304304303304304303303303302303304303303302302303303303304303303303304304305305305306306306306306306306306306306306306306306306306306306306306306306306306306306306306306305305304304304304303304304303304304304304303303304304304304304304304304304304305305305305306306306305306306306306306306307307307307307307307307307307306306306306306305305304304304303304303304303303303305304304305304305305305305305305305305305304305306305306303303303302302301301300300299298297296296295297297297297296296295295294296294295296295296296295295296295296294294295295296297296293293294294295295295295295296296296297297298298299298299300300299299301299298297297298297297297298297299298298300299299298298300299299300299299299299299299298298298999301301301300301300302302302301301301301301302300300302301301302302301302301301301301303302301301301301301301301300300300300300300300301301301303301302302303302301301301301302302303303303302303302303303303303303303302301302302302302302302302302301301300300301301301300300301300299300301301299300301300300300300298299299300300300299299300301302299299300299299301300301301300300300300300300300300299299299298298298297296297296296298297296297296296295295295297296296297296297298298297297296296297297297297297297297297297297297297297297297297296297297297296296296296295295295295295295295296295296296296297296296296296296296295295296296296296295295295295295295295295295295295295295295295295295294295294294294294294293294294294293293293294293293294294293293293293293293293293293293293293293293293293293292292293292292292292291291291291291291292292292291291291291290290290290290290290290290290290290290290290289290290290290290289289289290289289289289289288289288288288287288287287287288287287287287287286286286286286286285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295295293292292291289288288288288289289290290291292293292293293293293294294295295296297298298299299299299300300301301301301302302303303303304304305305305305304305304303303303304303303303303303303303304303305305305305304304305304305306305304304305304304304304304304305305305305305305304304304304305305304303303303303303303303303302302301999999999999999999999999999999999999999999303304303302302302303303303304303303303304303302302302302302303303304304304304305305306306306307307306306306306306306306306306306306306306306306306306306307306307306306306305304305305304304305305305304304304304304304304303303304303303303303304304304304304304304304305305304304305305306305305305305305305306305306306306306306306306306305306305304304304304303303303303303303304304304304304304304305305305305305305306306305306305305302302302302302301300299299298297297298298296297297297297297296295297297295294294296296296296296295295296296295294293295293293294292294295294295296295295296297296297297298298298299299299298299299299300300299298297297297297297297296299298298299300300299299299299299299300300299301299300297298297297298300300299301301301302302301301300302302302303302301301301302302302302300301299301301301301301301301301300301301301300300300300300301302301304300302301301301300302301300300301302302303303303303302303303303303303302301301301301301302304302302301301301301301301301301300300301301300301300301300301301301300300299299299300301300300300300301301300300299300300301302302302302301301301301300300300299299298299298299298297298297297297296296297296296296296295295296297297297297298298298297298296297297297297297298297297297297297297297297297297297297296296296297296296295295295295295294295295295295296296296297296296296296296295295295295296295295295295295295295295294294294295294294294294295295295295294294294294294294294293293293293293294294293293293293293293293293293293293293293293293294294293293293293292293293292292292292291291291291291291292292291292291291290290290290290290290290290290290290290289290290290290290290290289289289289289289289289288288288288288288287287287288287287287287287287287287286286286286286286285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292293292293293290289288287287288288289290291292292293292293293293293294294296296296297298298298298298300299300300301301301301302302304304304305305306306305305305305304304305305304304305304304303303304304304305304304304305305305305304304304304305304304304303304304304305305305304305304304304304305304304304303303303304303302302302301301999999999999999999999999999999999999999999999302302999999301301302302302302302302303303302302302302302302303304304305305304304306306306306307307307307307306306306306306306306306306306306306306307308307307307306307305305305305304305305305305304304304304304304304304304303303303303303304304304304303304304304304304304304304304304304303305304304305305305305305305305306306306306306305305305304304303303303303303302302304303305304303304304304304304304304304306306305305305304304303302301301300299298298297298298298296297298297297297297296298297296295296296296297297296296296295296295294293293293294294294294294295295295296297296296297298298298297298298299299298299299298299299299298299297297297298298298299298299300299300299300300299299299300300300300300299301298297297296299299301298301301301301301302301302301302301302302303301302301302301301300300300301302301301301301301300301302301301301300301302301302301301301304301302302301302301301301301302303304304302303302303303303303302303303302301301300302302302302302302301302301301301301301301301301301301301300301300303302302302302300300300301301300299300300301301300300300300300302302302301301301301300300300300300299299299299299299299299298297296297297298297296295295295296296296296296296296297298296297298297297298297298297298297298297297297297297297297297297296296296296296296295295295295295295295295295295296296295295296296296296296296295294295295296295295295295294294295295295294294294294294294294294295295295295295294294294294294293294293293293294294293293293294293293293293293293293293293293293293293293293293293293292293292292292292292291291291291291291291291291291291290290290290290290290290290290290290290289289289289289289289289289289289289289289289289288289288288288287287287287287287288287287287287287287286286286286285286285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294293293291291289288287287287288289291292291293293292292293293293294294295296296297298298298299299300300300301301301302302303303302304304305305305305304305304303305305305306304304305305303303304305305305305304305305305305305305304304304304304304304304304304303304304305304304304304303304303303304305305304304304304304304303303301300999999999999999999999999999999999999999999999303302301999300302301301301299300301302303303302303303303303303302305304305305305305305305306306307307307306306306306306306306306306306306306307307308308308307307307307307306306306305304304304304304303304303304304304304304304304303303303303303303303303304303303303303303304303303303302302303303304304304304304304304305305306306305305304305304304304304303303303302303304303303304304304303303304303304304304305305305305304304304304303301301300299299298298299299298298298295298298298298298298295295296297296296297297297296296296295294295295294294294294295295293293294296296296297297298297298298299299299299299299299299300300299299300299298298298298298298297298299300299299299299299300299300300299300300300300299299299297296297301301300300300300302301301301302301302301302302303301302302301301302301301299300300301301301300300300299299300301301301301300301302301302301303303299302302302301301300301301302303304303303304303303303303303303303302302302302302302302302302301302301302301301301301301301302301302300300300302302302301303301301301300300300300300300300300300302301301300301301302301301301303302301301300299299299298298299299299298298298297296297297297297297296296295295295297297295296296297297297297298298297297298297297297298298296297297297296297297297297297297296296296296295295295295294295295295295296296295296296295296295295295296295295294295295296295295295295295294295295295294294295294295295294295295295295295295295295294294294293294294294294293293293293293293293293293293293293293293293293293293293293293293292292292292292292292291292291291291291291291291291291290290290290290290290290290290290290290290290289289289289289289289289289289289289289289289289288288288288287287287287287287287287287287287287287287287286286286286286286285286285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293293292292290290288287287287289289291292293293293292293293293293293295295296296297298298298299299299299300301300302301302302303303303303303304305305305305305304305305305305304303303304304304304304304305305305305304304304305304303304303303304304304304304304303303304303303303303303302302303304303304304304303304304304304304303302300301301999999309309306999999999999999999999999999302301999301302300299300300300301301302302303303303303302304302304305304305305306305305307306307307307307306306306306306305306307306307306307307308308307308307307307307306306307306304304304304305305304305304304304304304304303303303303303303303303302303302302302302302303303302302302302301303303304304304304304304304304305305305304304305304304305304303304304303303303303303303304304303303303303303303305305305304304304303302302300300300298298297298297298298297298298298298299298298295295296296294296294295294296297296294295295293296295295296295294295294294293294297297297298298298298299299300299299299299299299296297297299299300299299298298298298298298299299299299298299299297299299300299298300300300299300299300300301302301299300300300300302302302302301302301301302302302301303302303302303301301300299299300300300300299299299300300300300300299301300301301302302302302301301302302301301301301302302303304302302303303303303302302303302302303302303302302302302302302302302301302302301301301301301301301300300300301302301302303301301300300300300300301300300301301301301301301302302301301302301302301301300300299299299298299299299299298297296296297297296298297297297297297297295296296296296296296297297299297297297297298297297297297297297296297297297296296296296297296296296296296296295295295294295295296295295295295295295295295295295295295295295295295295295295295294295295295295294294294294295295295295294295295295295295295294295294294293294294294294294293293293293293293293293293293293293293293292292292293293292292292292292292292292292291291292292291291291291291291291291290290290290290290290290290290290289290290290289289289289289289289289289289289289289289290289288288288288287287287287287287287287287287287287287287287287286286286286286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292292291290289288288288288289290290291292293293293293293293293294294294295296296297298299299299300298299300300301301301301302303303304305305305305305305306305305305304304303303304304304304305305305304304304305304303303304304303304303303302304305304304303303303303302303304303303302302302304303303304304303303304304304304304303302302302999999999308304301999999999999999999999302302301999301302301301300301301301302302302302301302302302302302304306305305305305306305306306307306306306307306306306306305305305306306306306307307308308307307307307307305305305305304304305305305305305305305305305304304304303303303303303303303303303303302302303302302303303303302302301301302303303303303303303303304303304304304303305305305305305305304304304303303303304303303303304303303304304303304305305304304304304303302301300300299298297297297298298298299299299299299299298298296297296296295296295295297295296296295294297295296296296295294295293295293294297297297298299299298298300299300300300300300300299297297297297302298299299298298299299298298298299300298298299300301300299300300301299300300299298299300300302302300300299299300300301302301302302301301301302302302302303302300300301301301300299300300299299300300299299300300300301301301300300301301301302301301303300301302301301302303302302303302303302303302302302302302303302303303303303302302302302302302303302302302302303301301302302302302302300300301300302301302301302301302302302300300301301300301302302301302303303301302302301302301301301300299299299298298298299299298298298297297296297297297297297297296296294296296295295295296296297297297296297297297297296296296296297297297297296297296296296297296296296295295295295295295294295295295295295295295295295295295295295295295295295295295295295295295295295295295295295295295295295295295295295295295295295295296295294294294294294293294294293293293293293293293293293293293293293293293292292293292293292292292292292292292292292291291292292291291291291291291291291290290290290290290290290290290290290290289290289289289289289289289289289289289289289289289289289288288288288287288287287287287287287287287287287286287286286286285286286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292291290290289289288288288289289290291292292292293293293293294294294294295296297297298298299299299299300301301301302301302303303303305305304304304305304305304304304305304304303303304304304304304304304304303304304304305304304302303303303303303304304304303304303303303304303303303302302303303303302303304302303303304304304304303302301301299999999305301301303999999999999999999302301301300300301301301301301301301301301302302302302301302302301304304305305304305306305305306306306306307307306306306306305305305305306306307307307307308307307307307306305305305304305305305306305305305305305305305305304305304303303304303303303303303303302302302302303302302302302301301301301302303301302302302304304303303303304304304304304304305304304304304303304304304303304303303303304304303303304304304303303304303303302301298300298297297297299298299299299299300300299299298297297298298297297296296294296297296297295295295295295294295295295294297297298298297297298300299299300299299300300299300301300300298298297297299298299298298298298298298299300300300299299299300299299299299299300300299300299299299300299301303302301301299300300300301301301301301301301301301301302302302302300300302300299300298300298298298298298299299299299300300300301300300300300301301301300300300301301301301301303302302303301301302303304302302302302302302302302302303303301302302303303302303303303303302302302302302301302301300300299300302301302302302302301301301301300301300301302302301302301302303302302303301301301301300300299298298299298299299299298298297299298297298297297297297296296294295295295296296295295295296296296296296296297296296296296297297297297297296296296296296296296296295295295295295295295295295295295295295294294295294294294295295295295296295295295295295295295295295295295295296295295295295295295295295295295295295294294294294294294294294294294294293293293294294293293293293293293293293293293292293293293293293292292292292292291291292291291291291291291291291291291291291290290290290290290290290290290289289290290290289289289289288289289289290289289289289289289288289288288288287287287287287287287287287287287286287287287286286286286286286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291291291290289289288288289289290290290292291292293293292292293293294294295296297297297298299299299299300301302301302302301302303303304304305305304305304304304303304304303303303303303304303303304304303303303303304304305305304304304303304304303303303304304305304304303304304303302303303303303303303302302302302302303303303304303302301301301999999303299299999999999999999999999300301301301301300299300300300300301301303303303303302302302302301302304304304304305305305305306306306306306306306306306307306305306306306307307307306307307307307306306307306306305305305305305305305305306305305305305304304304304303304303303303303302302303302302301301302301301302300301299300301301300300301300302303303303303303304304304304304304305305304303304303304304303303303303303303302303303303302303303302302303301302301300300298297297297296298300299300300299300300299299299299299299298298298297296297297296297296295297295294294294295296296296298297299298298298298299299299300299299300299300300300300300299299299299299300299298296297298299297300300299299300300299300300299298298299298298298297299298299300302302304304304303301300300300301301301300300302301300301302302301301301301300300300300299300298298297299298299298298298299300299299300300299300300300300301299300300301302302303302301302301302302302303302303302302301302302303302303302303303301302302302302303303303302302302303302303302302301301300300301301302302302302302302302302302301301301301301301302301301302302302303301302301300301301300299299298298299298299300299299298297299296296297297297296297296296295295294295296294294295295295296296296296296296296296296296298297298297297296297297297296296296296295295295294295294294295295295295295295294294295295294294294295295295295295295295295295295295295295295295296296295295295295295296296295295295295294294295294294294294294294294293294293294293293294293293293293293293293293293293292292292292292292292292292292291292291291291291291291291291291291291291291290290290290290290290290290290290289289289289289289289288288288289288289290290288289289289288288288288288287287288287287287287287287287287287286287287287286286286286286286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290290291289289290289288289289290290290291291292293293293293292293294295295296297297297298298299299299300300301302302302302303303303303302304304304303305304303303303304304303303302302303303302303303303303302302303305304304304303304303304304303303304304304304304304303304303303303303303303303302302301301302301302302303303303302301301301300301301302299999999999999999999999999999300302300300299301301301302302301303303304303303302302301303302302302302303303304305305304305305306306307308307307307306306306306306306307307307307307307307307307307306306306306305305305304305304305305305305306305304304304304304303303303303302303303302302302302301301301302301301300301300300301300300300302303303302303304304304303303303303303303303303303304304304303302304303303303303303303302303302302303302302302302301299300299298300297297299299299299299300299300299299299299299299299299296298297297296297296297296294293295294295295295296297298299298298299298299299299299299300299299300298298300299300301300299300300301300299297296297299299298299299299300300300300299297299298297297297297298298298297300300298300301303302302302300301300301300302300302301301300301302302301299300300300300299301300299298300299299299299298299298300299299299300299299299299299299299299299300301303302305302301302302302302302302303303303301301302302303303303303303302302302303303303303303302302304302302303303303302301302301301301301302302303302300301301303301300302301301302302301301301302302303302301302302301301300300299299298298299299299300299298298298298298297297296295295297296296295295295295295294294295295295295295295296295296296297297297297297297297296296297297296296296296296295295294294295294295294294294295295294294294294294294294294295295295295295295295295295295295294295294294295295295295295295295295295295295294294294294294294294293293293294294294294294294294294294294294294294293293293293293293292292292292292292292292292291291291291291291291291291291291291290291290290290290290290290289289289289289289289289289289289289288288288289288288288289288288288288287287287287287287287287287287287287286287287287287288287287287286286286286286286286287286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290291289290289288289289289290290290291291292292292293293293293294294295295296296297297298297298299300300301302302303303303303303303302303304303303303304304304303303303303303303303303301302302302302302302303303304303303303304303303303304304305305304304303304304303304304304303302303303302301300301301300301301301301301301301301301300300300300302999999999999999999999999999999297298297296296297296999999999999303303303304303303303302302302302302302302302303304304304304305305306307307307307307306306306306306306307306306306307307307306305306306306305305304305305305305305306306305304305305305304304304304303302302303303303303302302301301301301302302302302302301301301301300302301301302303302303303303304303304304303302303303303303304304304303303303303302303302302302303302302302302302302301301300300300300300300299299300299299299299299300300300300300300299296299296297297297297297296297297295294294295295294296295296296298299300298299298299299298299300300299299300298297299298300300300301301300301300300299299298299299299299299299299300300299299297298297297297296299299298297297298298298299302302301301300300301301301301302301302301301302302300300301300300301301300301300300300298298299299299299300298299299299299299299300300299297298299298298299300301303303303303302302302302301302302302303302302301301302302302303302303302302302303302303303303302302304303303303304304303302302302302302303303302302302301302302302301302302302301301302301301302302302302302301302301301300301301299299299298298299298299299299297297297297298297296295296296297296295295295294294294294294295295295295296295295296296296296296296297297296297296296296296296296296295295295294294294294294294294294294294294294293294293294294295294295295295295295295295295295295295295295295295295295294295295295295295295295295294295295294294293294293293294294294294294294294294294294293293294294293292293292292292292292292292292291292291291291291291291291291291291291291291291290290290290290290289289289289289289289289290289289289289289289289288288289288288289289288288288288287287287287287287287287287287287287287287287287288287287287286286286286286287286287286286287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290291290289289288290290289290290290291291292293293293293293294293294295296296297297297297298298300300300301302302302303302302303303303303303303304302303303303303303303303303303302302302302302302301302303303303304303304303303304301303303303304305305304304304304303303303304302302302301301301300299300300301301300300300300300300300300300299298999999999999999999999999999999999298299298296296297999999999999999999304304303302303303303303302301301301301302303303304304304305305305306307306306307306306306305305305306305306306306306306306306304306306305305306305306305305306306306306305305305304304304304304304303303303303303302302302302302301301303303302301302301301301301302301302302302303303303303303303304304304303302303302303303304303304303303303303303302302302303303302302302302302302301300300300300299300300299300300300298299299300300300300300300300299296297297297297295295296296297297295295295296295294297297296298298299299299299298299300298300299299300301300300298299300300300301301301299298298299299298299298298298299298299299299298298298298298297298297299299298299300299298301300299302302302302301300302302301302302302302301301300301300300301303300300300299300300300300298298299301299300300299298298299298299299299298299297298298298297299300301301301303303302302301301301302302301301302302301301301302302302303302302302303303302303303303302303303303303304303304303303302303302302304304302302303303302302302301301302302300301302301301301302302302301301300301300300300301299298298298298298297298298298298299299297296296295296297296296296295295295294294294295295294295295295295295295296295296295296296296296296298295295296296295295295295295294294294294294294294294294294293294294293294294293294294295294295294294294295295295294295295295294295294295294295294295295295295295295295294294295294294294293294294294294294294294294294294294293294294294294294293293293292292292292292292292292292291292291291291291291291291291291291291290290290290290290290289289289289289289289289289289289289289289289289288288289288288288288288288288288287287288287287287287287287287287287287287288288287287287286287286287286287286286286286286287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290291289290289289290290290289290290291292292291292293293292293294295295295296297297297298298298299301301302302302303303303303304304303303303303303303303303304303303303303303303303302302302301302302302301302302303304304304304302301303302302304304304302303302301303302302302302301301300300300300300300301301301300300300300300299300300299299296999999999999999999999999999999999999299299296301999999999999999999999999304302303304304304303302301300300300301301302303303303303304304306306306306306305306305305305305305305306306306307306305305306305305305305304305305305305306306306305305305305304305305305304304303304303303303302302302302302301302302302302301302301302302302302302303303303303303303303304304303304304304303303302303303303303303303303303303303302302302302302302302302302302302301300300300300300300300299300298298299298299298299300300300300300299296297298298298295295297297297297297298296296298297297297297298298299300299299299300299299300300300301301301299300299299301300300300300300298299298298298299299299297298298298298299298299299298298298298297298296297299300301298298300301302302302301301300303304302302302302300300298300300301299300301301300299299299300300299298297297299299300300299298299299298299300299298299298298297298297300300301301301301302302301301301301302301301301301301302301301302302302302304303302304304304303303303303303303303304303304304302303303303303303304304302302303303302302302302303303302301302302302301302302302301301301300300301300300299299298298298298298297297297297297299298297297296296296297296296295295294294294294294293295295295295294295295294295295295295295296296296295296296296296295295295295295295294294294294294294294294293293293294294293293294293294294295295295295294295295295295295294295295295295295295295295294295295295295295295295295295295294295294294294294294294294293294293294294294293294294294294294293293293292292292293292292292292292292291291291291291291291291290291291290290290290290290290290290289289289289289289289289289289289289289289288288288288288288288288288288288288287287287287287287287287287287287287287287288287287287287287287287286287286286286286286287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291290290290290290290290291291290291291291292292293293292293292293293294295297297297297298297298299301301302302302303303303304305305304301303304303304304303303302302303303303303302301301301301302301302302302302302303301303303302302304302302302303303302303303301302302301300300301301300300301300300300301301301300300300300299299299300300299297999999999999999999999999999999999999999999298302999999999999999999999999999302303999303305304302302300301999999301303303301301303303304305305306304306306306306305305305305306306306306306306305305305305305304305304304305305306306306306305304305304304304305304304304304304304303302302302302302301301302302302302301301300300302302302303304303303304303303303304304304303303303303302302302303303303302303303302302302302301301301301301301302301302301300300300299300299300300300299299299299299298299298300299299299297299297296298297298297297296296297297296296297296298297298297297298299300300300297300300300299300300301301301301297298298300299300301301300300298298298299298299298300299299297297298298298298299298298298297297297298299300300299298298302300302302301301302301302302302301299301300298301301300299301300300300300299300300300301300298299299300299299299298299299298298298300299298298298298297298299299300300301301302301301301301300301301301301301301300301301301301302302302303303301302304303303303303302303303303303304304304304304303303303305304303303303303303303303302302303303302302302302301301301302301301301301300300300300299300298298298298298298297297298298298298298298298298296297297296296295295295295294295293294295295295295295295295295295295295295295296296296296296296296296296295295295295294294294294294294295294294294293293293294294293294293294294295295295295295295295295295295295295295295295295295295295295295295295295295295295295295295294295294294294294294294294294293293293294294294294294294294293293293293292293293293293292292292292292292291291291291291291291290290290290290290290290290290289289289289289289289289289289289289289288288288288288288288288288288288288288287288288287288288287287287287287287287287287288288287287287287287287287287287287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290291290289289290291291291291291291291291292292292292292293293293294295296297297297297297298299300301301302302303303304305305305304304304304304303301303302303303303303303303301301301301301302302302301300302303303303303304303302303302302301302302303302302301301301301300300301300300301301301300300301300301301300300300299298298298299298297300297295999999999999999999299301301299999999999999999999297295999999999999304303999999999999999303302300999999999302303304305305303303305303305304306306306306305305305305306306306306306305305305305305305305305305305305306306306306306306305305305305304304304304304304304303303303303303303302303302303302302301302302302302302303303303303303303304303304304303303303304303303303302302302302302303303302303303302302301301301301300301301301301301300299300300299299298300300300299299300299299299299299299299299296296297297297296296297297297296296297298296296296299298298298298298299300300301297297300300299299299300301301300300298298298298298300299301298298297297298299299299299299300299299297298297298298297298297298297298298298299300299299299300301302301302301300303301302302300300301299301301301301300300302303300300301299302300300300299299300299299300299299299298298298298298298298297298297297297298299299299301301301300301302301301301301301301301301301301301301301301302302302301302302304303302302303304302303304304304304303304305304303304305305305303304304303303304303302302303303304302302302301302302302302301302302300300300300300299299298299298298298298298299298298297297296298296296298297297296295295295295294296295295295296295295295295295295296296296296295295296295295296296296295296295295295295295294294294294294294294294293294293293294293293294294294294294295295295295295295295295295295295295295295294295294295295294295295295295295295295295295295294294293293293294294294293293294294294294293293293293293293293293293293293293293293293292292292292292291291291291291291291291291291290290290290290290289289289289289289289289289289289289289288288288288288288288288288288289288288288288288288288288287287287287287287287287288288287288287287288287287287287287287287287287286287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291290291290289289290290291292291291291291291292291292292291292293294294295295296297297297297297299299300301302302303303303304304304304304304304304303302302304303303303302303302301301301301301301302302301300301302302302303304304303301303302301301301301301302301301301301301302301301301301302301300300300300300300300300300299297999999299298295297297297296999999999999301300302300300300299999999999999301298298999999999304301999999999999999999301300999999999303304305304305306305306305306307307304306305305305304304305305306306306305305305305304305305305305306305306306306307306306305305305304304304303303304304303303303303303303303303303303304303303302302303302303303303303304305304304304304304304304304304303303304303302302303303303302303303303303303302302301300300300300300300300300301299300299299299299300300300300300300300299299299299299298299297296297297298298295295297296296297297299296298298298297298298299300300301301301298298300300300300300301301300300300300297297297297298299298299298298299300299299299299299299298299299298299298297298297297298298298298299299300299298300303302301301301301301300301301301302302302301301300300301300301301300301299299300300299299300301299300300300299300299298299299299299299299297297297297297297298298299299299300301302301302301301301301301301301301301301300300302302302303302302302303304304302302302303303304304304305304304306306306306306306306306303304303303304304304302303303302303302302300301302302302302301300301301299300300299299300298299299298298298299299298298297297297297297297297298296298297295295295295295295294295296295294295295295294295295295296295296296295295295296296296295295295295294294294294294294294294294294294294294294294293293294293294294295295295295295295295295295295295295295295294294294294294295294295295295295295295294294294294294294293294294294294294294293294294294294294293293293293293292292293293293293293293292292292292291291291291291291291291291291291291290290290290290289289289289289289289289289289289289289288288288288288288288288288288288288288288287288287288288287287287287287287287288288288287288288288288287287286287287287287287287287287287286287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291289289289289289290290290291290291290291291291291293292292294295295296296296296297296297297297298300300300301302302303303303303304304303304304304303303304303303303303302302302302301301301301302301302302301302302302302302301303303302302302302302301301301302302301302301302302300301302301301301300300301301301301301301301299298298297298298295297297296295294999999300301299300300300300299297999999999303302300999999999999999999999305305304303303303999999999304304304304305305305306305306307307305306305305306304304305305306305305305305305305305305305305305306306306306306306306306306306305304303303302302303303303303303304303303303304303303303304303302303303302303303303304305305305305305305305304304303304303304304304304303303303303303303303303303303302302302301301300301300300300300300300300299298300299299299299300300300299299299299299299299297298297297297296297298297298297297298298299299298299298298298298300299300299299299301300300300301301301301300300301301299298298297298298298298298298298300299300299298299299298299299298298298299299298296296296298298300301301299299299298301302301300301302301302302301303303303303302302301300301300300302300301299298299300300299300298298301300301299299298299299299299298299299298297298298297297297299299299300300300301301301301301301300301301301301301301301301302302301302302303303303304303302303302303303304304304304305305307306306307306306306305304305303303303305303303302302302303303302302302302302302302300300300300300300299299300299299299299298298298298299298298298298297297297298298298297297297298296295295295294295296295295295295295295295296296296296296295296295295295296296296296295295295294294294294294294294294294294294294294294294294294294294294294294295295295296295295296295295295295294295295295294294294294295295295294295294294294294294294294293293293293293294294294294294294294293293293293293293293292293292293293292292293292292292292291291291291291291290291291291291291290290290290290289289289289289289289289288288289288288288288288288289288288289288288288288288288288288288288288287287287288287287288288288288288288288287287287287287287287287287287287288287286287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294290289289289289291290291291291290291291292292292294294294295295295296296296296296296297297297298298299300301302302303303303304303303303304304304303303303303302303302302302302302301301301301301301302302302302301301302301302302302303302301301301302301301302302301303302301302301301302301300300300300300301301301302301301299298297297297296298299298297297293297298300301299298298299301298296297999999999302300299999999999999999999304305305304304302999302302303305304304304304306306305305307306306305306306306305305306305306306305305305305305306306306306305305305305305305306306306306305305304304304302302303302303304303303304304304304304304303304303302303304303303302303304304305304305306306305304303303303303305304304303303303303303304303303303303302302302302301301301301300300301301300300300299299299299299299300298300299299298299299298299299296297297297295295298298298299297297298298298299299299298299300299300300300300299300300300301301301302301301300301301301300298297297298299299301298298298299298298298299299299296297299299299298300300298299300300301301302301301999299301301301301301300301300299300300301301302303302303302302300300299300301301300301299300300301300299297297300301301301299299298298299298298298298298298299298298297299299299299299300300301301301300301301300301301301300301301301301302303303304304303304303302302302303303303304304304305305305306307306306305306305304304304303303303304304303302302302302302302303303301303301300301302302300300300299299299298298298299298297299298299299298298299298297297298299299298298297297297296296295296296295296296294295296295295295295295295295295295296295295295296296296296295295294294294294294294294294294294294294294294294294294294294294294295294295295295295296295295295295295295295294294294294294294294294295295295294294294294293294294293293293293293293294294294294294294294293293293293292293293293293292293293293293292292292292292291291291291291291291290291291291290290290290290289289289289289289289289289289288289288288289288288288288288288288288288289288288288288288288287288287287287287287287288288288288288288288288287287287287287287288287287288288288287288288 999999295296295296297297298296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290290289289289290291291292291291291291292293294293294294296295295296296296296296296297297298298298299300301301302302303303303303302303303302303303303303303303303303302302302301301301301301301301302302302302301301302302302303302302301301301301301301302302302301301301300301301301301301300299299299299300301302302301300299298298298999999999999999999999293295300300298299297295999999999297297298999999300300300300298299999999999999999303303303303304305304305305304303303302304305305305305305305305306305306307305306305306306305305305305305305305305305305305306306306306306306305305305305305304303302302303303304304303303303304303304304303304303303303303304303303303303304305305306306305305305304304303303302304303304304303303303304304304303303303302302302302302302301301300300300301300300300299299300299300299300300299298298299299299299299299296297297296295295298299298299298297297299299299300300300300301301300300300300300300301301301302302302301300301301301300300298298298298299300298298298299299298298297298297297299299298299299297300300299301301302300301301299999300299301301301301301300302300299300302302302302302302302300302301301301301301302300300301301301301301299298298301301301300298299299298299299299298298299299299299298300300300300300300300301302301301301301301301301301301301301302302302302303304303303303303303303303302303303304305305305306307307306307307306305305304304305305303304305305303302302303303303303303303303300302302302301302301301300299300299298299299299298298298298299299298298298297297298298299298298298297298297296296296296296296295295295295295295295295296295295294295297295295295295295296296296296295295295295295294294294294294294294295294294294294294294294294294294294295295295295295295295295295295294295294294294294294295295294294294294294294294294294293294294294294293293293293294295294293294294293293293293293293292292292293292292292292292292292291292292292291291291291291291291291290291290290290290290289289289289289289289289289289289288288288288288288288288288288288288289289289288288288288288288288288288288287287287288287288288288288288288287287287287287287288287287287287287287287287 295296295296295296295295297295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291290289289289289290291291291292292291291292293293294294295295295295296296296296296296297298299298299299300300301302302303303303302302302302302302303304304303303304303303303302301301301301301301301302302301301302301301302301302301301301302301301301302302302302301301302302301301301300300300300300299299299300302301301299299298298299300301999999999999999999999300300299299298297999999999297298299298999999298299299298298999999999999999305304303303303304304305303303301302301305304305305304305304306305305305306305305305305306305306305306305305305305306306306306306306306306305305305305305305304303303302303304303303304303303304303304303303304303303302302304304302304304305305305305305305305305304304304302302303303303303302303303303303303302303302302302302303302302302301301300299301300300300299299299300300299300299299298298299299299299298299296297296296298298299298298297297297298299300300300301301301301301301300300300301301301301301302301301301301301301301301301299298298299299299298299298299298297298296298297299299300300298299299300300299298300298300299300999999300299300300302301302302302299299299300302302302302302304302302301301301302302301299299298299298299298298299299300301301301299299298298298298299298298298299299298299300299300299300301301301301301300300301300301301301301301302302302302302303303303304304305302303304304304305305304305304306306306306306307306306305306305304303303304305305303303303303304303303304304302301302301302301301301301299299299299299299299299299299299299299298298298297297297297298299299298298297298297296296297297296295295294294294295295295295295295295295295295295296295295295296296296296295295295295294295294295294294294294294294295294294294294294294294294295295295295295295295295295295295294294295295294294294294294294294294294294294294294293293293293294294294294294293294294293294293293293293293293293293293293292293292292292292292292291291291291291291291291291291291291290290290291290290290289289289289289289289289289289288288288288288288288288288288288288288288289289288288288288288288288288288288288287287287288288288288288288288288288288287288287288288288288287287287287287287 294296295296295295294291291999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288289288288289290290291292292292291292293294294295295295295295295296296296296296297297299300300300299300300300301302303303303302302302302302302303304303302302303303303302302302302301301301301301301301302302302302301302301302302302302302302301301302302302302302301302302301301301300300300300300298299299300300300300300299299299300300301999999999999999999999999304300299298298298999298298297299298999999298299299299299298999999999999999305305303303303304303302301303303303304305305305305305305305305305305304305305305305306306306306305306305305306306306306306306306307306305305305305305303304303303302303303303303304304304304305304303304304303303302302302304303304304304304305305304304304304304304304302303303302302303303301301303303302303302303302302302302302302302301301300299300301300300300300300300300300300299299299300300300299299298298298298298295298298298299299297300298299301301301301301302301301301301301301300301301301301300302301301299301301300301300300299298299299299298298298298299297299297297297297298300299299299299298299300300300300299299301301298298299299300301303300301301301301301301301301301302301304305301302301302300301300299300299299300299300299299300300300300300301299299299299298298299298297299298299299299300300300300300301301301301301300300300300301302302301302302302302303303304304304304303304304305303304306307307305305306306306306306306307307306306305305304303303303304303303302303303304303304304302302302301301302302302300301299299299300300299299299299299300299298299299299297298298299299299299298297298297297297297297297296295295294294294294295295295295295296295295295295296296295296296296296296296295295294294294294294295294294294294295294294294295295294294295294294295295295295295295295295295295295294294294294294294294294294294294294294294294294293293293294293293294293293293294294293293293293293293293293293293292293292292292292292292291291291291291291291291291291291291291291290290291290290290290289289289289289289289289289288289288288288288288288288288288288288288288288289289288288288288288288288288287288288288288288288288288288288288288288288288287288288288288288288287287287287287 999295296295296294292291291999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289288288288289290290290291292292292292294295295295295294295295295295295296297297297297299300300300300300300300300302302302303302302302302303302303304303303303302302302302302301302301301301301301301301301301302302301302301301301302301301302301301302301301302301301300301301301301300300299299299299299299300301300300301301300301301301300299299999999999999999999301999300300299300300298298298299300299298298298299300301300999999999999999303303304304304303301302300302303304303304304304304304305305305304305304305306306305306305305305305305305305305305306305305306306306306306305305305305304304304303302303303303304303304303304304304303305304303303303303303304303304303304304304305304304303303303303304304304302302301303302301302303303303302302301302302303302301302300301300301300300300301300300300300300299299300298299300300299299299299298297298299299299298299298299300298298297300301302301301301302301301301301300300301301301302300300301301301301302301300300300300299299299299299298298298298298299297297298297297299300300300300299300300300300301298298298301299299299300300301301302299301301301302302300301302301302301303304301302301300303302300299299299299298299298300299299299300300300299297298298299298297298299298297299298300299298299299301301302301300301301301301301300302301301301302302302303304303304305305304303304304304305307306307307305305306306306306306307307306306306304304303303303303304304303303303303303303304303302302302301302302301302300300300300300301300299298300299300299299299298299298298298298298299298298298297298297297297297297297295295295295295295295295295295295296296295295295295296295295295295295295295295295295295295294294294294294294294294294295295294295295295294294294294294294295295294294295295295295295294294294294294294294294294294295294294294294294294294293294294294294294293293294294293293293293293293293293292292292293292292292292292292291291291291291291291291291291291290291291291290291290290290290289289289289289289288288288288289288288288288288288288288288288288288289288288288288288288288288288288288288288287288288288288288288288288288288288288288288288288288288288287287287287287286 999297295293293293292290290999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291288287288289290290290291293293293294294295294294294294294295295295295296296297297297299300300301301300300300300302303302303302302302303303303303303304303303302302302302301302302302301302302301301301302301302302301302301302303301301301301301301300301301301301301300300300300300300299298298297297298298299300300301301302302302302302301299299999999999999999999999999299299300299298299298300300300300299299298298999301301999999999999999999999304305303302301300300302303303303303304304304304305304304304305305305305306305305305305305306306305305305305305305305305306305306305305305305305305304303303302303302303303303304303304304303303304304303302303303303302303303303302303304304303303303303303303303303302302302302303302302302302302301302302302303302302302302302301300300301300300301300300300299299300298297298298299299299299299299298298298298299299299299299299298299299299300301301301302302302302302301301301301300300301300300300300300300300301302301299300299300300300299299298298298297296298299297297298297298300300300301300301301300300301301300300300300301299300301303304302302301301301301302302303303302302302304302304301300301302301300301300298298298298299300299299298299300299300299299298298300298297299299299298299299298299299300300301302302300300300301301301301301301300301302302303303303304304305305304304303303305306307307307306306305305306305306306307307307306305305303303303303304303303304303304304304303304304304303302301301302301300301301300300298300301299299298300299298298299299297298297298298298298298298298299297297297296296296296296295295296295295295295295295295295295295295295294295295295295295295295296295295295295295295295294295294294294294294294294295294294294295295294294294294294295294294294294295294295295294294294294294294294294294294294295294294294294294293293294294294294294293294294294293293293293293293293293292292292292292292292292292292292291291291291291291291291291291290290291291290290290290290290289289289289289289289288288288288288288288288288288288288288288288288288288288288288288288288288288288288288287288288288288288288288288288288288287288288288288288288288288287287287287286287 999295294292293293292291291999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288288288289289289290291292293294294293294294295294295294295295295296296296297298299301300299300301301301300300302302303303302302302302303303303304303303302302302302302302302302302302302302302302301301302301302303302302302302301301300301301300300301301300300300300300299299299299297298297297297297298299300299298299300301302302301300299298298999999999999999999999298299300298300298299301301300300300299299299300299299299299999999999999303999300301301301301302302302303303302303303304304303304304304304305306305305304305305305306305305306305305305305305306305305305305305305305305305305304304303302302302303302303303303303303304304303302302303303303303303303303302303303303303303303303303303303303303302303304303302302302302302302302302302302302302301301302301301300300300300300300300300300299299299300300299299299299299299299299299298299299299299299299299299299299299300301302302302302302302302302301302301301301300300300300299300299300302301301301300300300300300299299300299299297297296298299299298298298298300300299302301302302300299301300299300300300300300301301304303302301299300301301301304303300302302305303302302301300301301301301300300299298297296299300300300300299300300299299298299300300300299299299300299299299300299299300300301301301301300301300301301301302302302303303303303303304304304304305304304304304306304306306306306307306306306306307307308306307306305304303303303302303303303303303303304303303304303303302301301301302302301301301300299299300301300298298300299298298298298298298298299299299298297298297298297297296296296296296296295296295295295296296295296295295295296295295295295295295295295295295295295295295295295295295295295295295295294295294294294295295295295295294294294294294294294294294294295294295295294294294294294294294294295295294294294294294294294293294294294293294294294294294293293294294293293293293293292292292292292292292292291292291291291291291291291291291291291291290290290290290290290290289289289289289289289289288288288288288288288288288289289289288288288288288288288288288287288288288288288287288287288288288288288288288288288288288288288288288288288288288288287288287287287287 295295295294295295293293290999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289289288289289289290291292292293294293294294295296295295295296295296297297297298299299299299299300301300300300300301303303302302303303303304303302302303301301302302302302303302302301302301302301302302302301302301302302302302301302300301301300300300300300300299299299298298298298297297297297297297297298299298299299299300300300300299299299299999999999999999999999298299299298298299300301300300299299299299300300300301300300299298295296304999299300300299301301301302304303304304304304304304305305305304305306305305305305305305305305305305305305305305304305305304304305305305305304304304303304303302302303302302303303303303303303303304304303303303302303303303303302303303304302303303303302302301302303302302302301303303303303302302302302302302302302301301302301301300300301300300301299300300300300300299299299299299300299299299300299299299300300299300300299299300301301301302302302302303302303303301302302302300300300301301301300300301300301301301300299301300301299299300300299298297296296298298299299299298299300300301301302302301300300301300300300299299299300300299303301302299300300299303303304301299301300303304304303300300301302301302301300298298300299300297298299299299300299298299298299299300298300299300300299300299300300300301300302301302301301301300300302301302303302302303303303303303304304304304305304304304305306307306306306306306306306305306307307307305305304303302303303304304303303303304304304303303303303302302302302301302302301300298299299299299301300299298300299298298298297298298299299299299299297296297297297297297296296296296295295296294295296296296295295296295295295295295295295294295295295295295296296295295295295295295295295295295295295295294294294294295295295295295295294294294294294294294294295294294294294294294294294294294294295294294295295294294294294294294294294294294294294294294293293294293293293293293292292292292292292292292292292292292291291291291291291291291291290290290290290290290290290290290290289289289290289289288288288288288288288288288289289288288288288288289288288287288288287288288288288288288288288287288288288288288288288288288288288288288288288288288288288288288287287287 296296295294295296295293291999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292289289289289289289290291292292292293294294295295295296296296297298297297297297298300300301300300300300300300300301301302303303303303304303303303302302303303302302302302302302302302302302302301301301301301302301301301301302301301301300301300300299299299299298298298298298296297297297297297296297297296297298299299297299300299299300299299299298999999999999999999999298299299299298299300299300300299300300300300301301301300300299297296999999999298298296295298299300301301302303303303304305304305305305305305305305305306305305304305304305304304304304305304304304305304305305306305304304303302303302301302303301301302301303302303303303304304303303303303302303303303303303303303302303303303302302301301303302303302302303303303303302302302303303302302302302300302301301301300300300300300300301300299300300300300300300300301300300298300300299299299300300300300300301301302302302302302303303303303303303302302303303300300301301301301300301301301302301301299300301301300300300300298299298298297297298298299300299300299300302301301302300301300300300300300300300300300302299302301300301300300300301301303303300299301301302303303303300300301301302302302300299300299298299298298299298300297299298297299299299299300300300300300299300301299301300300303301301301301302301300300303302302306303302303304304303304304304304305305305305305306306306307306306306307307307307305305306307305303302303302303303304303303304304304304303303303303302302303302300301302302301300300299299300300301300299299299298298298298297299299299299299299299297297297297298297297297296296295295296295295295296295295295295296295295295295295295295295295296295295295296296296295296296296296295295295295295295295295294294294295295296295295294294294294294294294294295295294294294294294294294294294294294295294294295294294295294294294294294294294294294294294294294293294293293293293292293293292292292292292292292292292291291291291291291291291291290290290290290290290290290290290290289290290290290290289289289289289289289289288288288288288288289288289288288288288288288288288288288288288287287287288287288288288288288288288288288288289288289288288287288288287288287287287 296296296295296297297294292999294293292999999999296294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295293290290290289290290290291292292294294294295295295295296296296297297297297297297298299300300300300300300300300301300301302303303303303303303304303302302303303301301301301301301301302302302302301302301301302302302303302301301300300301300299299299300299298298299299298298298297297296296296296297297296296297298299299298299300299299299300299299298300999999999999999999300299299299300299301300300300300300300300300301302300301300299297296294999999295295292296297299299298299301303302303303306305305305306304304304304306305305304304304304304304304303303304304303303304304303304304304304304303302302302302302302302302302302302302303303304304304304303302302303303303303302302303304304302302302302302302302303303303303303303302303302302302302302302303302301301301301301301301301301301301300300300299299300300300301300300300300300300300300299299299300300300301301301301302302302302302302303304303303302302302302302301301301301301301301301301300300301300301300301300301300299299299298299298298298297299298299299300299299301300300301302300301301300300301300300300299301299299302300300300300301302301301302303303302302301303305304303300301301301303303303300300300299299299299299299299299299300297298299299299298300299299300300300299299298299302302304301301301301301302301301302302301303304303303304304304304304304304305304304304305306306307307306306307306306307305306305306306304303302302302303303303304303303304302302303304302303303302302302300301301302300300300300301300300299300299299299299298299298299299299299298299299298297297297297297298297297297296296295296295295295296296295294295295295295294294294294295295296295296296296296296296296295296296296295295295295295295295295294294295296295295295295294295294294294294294294294295295294294294294294294294295294295294294294295295295295294294294294294293294294294294294294294294294294293293293292293293292293292292293293293292292292291291291291291291290291290290290290290290290289290290290290290290290289290290289290290290289289289288288288289289288288288288288288288288288288288288288288288288288287287287287288288288288288288288288288288288289289288288287287287287288287287287287 296295295295296296297296294292293290291292292295293294291999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294293290290290290289290290291292293292293294295296296296296296296295296296297297297299299300300301300301301301301301301301302303304303303303303303303303302302302302302301302302302301301301301302302302301302302302302302302301300301300300300300300299299299299299300300298299298298297297297296296297297296297297298297297299300300299299299299299298298298999999999999999999298299299298298999301302300300299300300301301301301301300300299999295294291999295293292295300300301300300999301302302304306305305304304304303303303304303304304304304304303303303303303303303302302303303303304304303304303303303303302302302302302302302302303303304304304303304304303302302302302303302304303302303303302302301302302302302304304303303304304302303303303303302302302301301302301301300300300299299301301301301300300299300300301301301302301301300300299299300300300300301301301301301301302302302302303303303304304303302303303302301301302301302302302301301301301300300300300300300300300300300299299298298298298297297297298298299300301300300299300300301300300299299301301300299300300301300298298302301301301301300300301302303304304301303302300302304303300302301302300303302302300301301300300300301299299300300299298299299301300300301299300300301302299299301300303302302302302300302301301301300304302302303303303303303305304304305304304304304304305306305305306306306306305306305305305305305305304304302302302302302303303304303302303303303303302303303302301302301301301301302300300301301302300300300300299299299299299298299299298299299298299300298298297296297297297296297297296295296296295295296295295295294295295296295295295294295296295295295296296296296296297296296296296296295296295296295295295294294295294295295296295295295295294294294294294295295294295295295294294294294294295294295294294295294294294294294294294294294294294294295294294294294294294294294294294293293293293293292292293293293293292292291291291291291291290290290290290289290290289289290290290290290290290289290290290290290290290289289289289289289289288288288288287287287288288288288288288288288288288287287287287288288288288288288288288288288288288289288288288288288289287287287287287 294295295295296295295296296294292290290290293295295294295296298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292291290289290290291291291292292292293294295296295296296297296296297297297298299300299300300301301301301301301301301301302303303304303303304303303303302302302302301301301302301301301301301302302302301301301301301302301301301300300300299299299299299299299299298298299298297297297297297296296297298297298299298298298299300300300300300299299299298298298999999999999299299299299299299999300300300302999300301302302301301299999999299300999298294291292291999999999999999999999999999999301304304305305304303304304303302303303304303303303304303303304303303303303303303303304304303303303303303303303303302302302302302302302303302303303304304303303303303302302302302301303303302303303303302302301302302302303303304303304304303303303303303303301302302302302302302300300301300299299300301300301300300300300301301299299301301301300300300301301301301301302302301302302302302302303304304304304304304303302303303302302303303302302301301302301300301301300300299300300299300300299299299298298297297297298298298299300300300299299300301302301300300299299301299301300300300301301299301301301301303302301300301302303303303301302301301304303304301302302302302303301301301301302300300301300300298299298298299299299299301302301301301301303301300301301302302303303301301302301302302301301301301303302303303303304304304304304304304304304305304305304306306306306306304304304303305305304304304303302302302302302302303303303302303303302302303302302302301302301302301302301301301301301301301301300300300300299299299298299298298299300299300300298298297296296296296296296296295295295295295295295296295295295295295295295295296295296296296296296295296296296296296297296296296296296296296296296295295295295295295295295295295295294294295294295294294295296295295295295294294295294295295295295295294294294294294294294294294294294294294295294294294294294294294295294294294294292293293293293293293293293292292292292291291291290291290290290290290289289289289289290290290290290290290290290290290290290290290290289289289289288289289288289288287287287287287288288288288288288287287287287287287288288288288288288288288288288288288288288288288289288288287287287287287 294295294295295295296296294293292292291290292293295295296297297297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296291291290289289290290290291292292293294294294295296295295295296297297296298299299300299300300301301301302302301301301301301302303304304304303303303302302303302302302301301301302302302303302303302303302301301302301301300301301300300299299299299299299299299298298298297297297297298297296297297298297298297298296296297297298299303301299299298299299298298297999999999299299299299299999999300300301302999999301302302302301301999999999302299297296291291293999999999999999999999999999999302302303305303303303303304303303303303303303303303303303303303303303303303302302302302302302302301302302301302302303303302303303303303303303304304303303303303303302301301301301301302303303303303303302302302302302303303303303303303303303303304303303302301301301302301301301300301301301300300300300300300300301300301301300300300299300300299300300301301301301301302302301302303303302303304304305305305304303302302302301302303302302302301301301301301301301301300300300300300300299300299299299298297297297298298298298299299299299298299301302302302302302301301301300300300301300300300300300301302301302301301301302302303303304302301300301301304303301301302303303302301301300300300301301301300300298298299299300300299301300300301301301302301300300301302302302303302301302302301302303301301301302303302301302302303304302304304303303303303304304305305305306306306307305304305305306305304304303303303302302302302303303303303302303303302303303302302301301302301301301301301301300301300299300300300300300299298299299298299299300300300299300299299299297297297296297296296296296296295296296296295296295295295294295295295295296296296296296296296296296296297296296297296296296296296296296296296295295294295295295295295295295295295294295295295295295295295296295296295295295295295295295295295295295294295294294294294294294294295295294295295294295294295294295295294294294294293293293293293293293293292292292292292291291291290290290290290290289289289289289289289290289290289290290290290290290290291290290290289289289289289289288289288287288288287287288288287288288287287287287287287287287288288288288288288288288288288288288288288288288288287286287287287287287 296295294295295295295294294294293293293293292291291291291293293293294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295292291291290289289289290291292292293293294294295296296296296296296297296298298299300301300301301301300300300300300300300301302302303303303303302302302302302303303300301300301303303303303302302303302302301301302301301300300299299299299299299299299299299299298298298296297298297297297297298298299298299299296296295296297999298300298298299299298299298298297999999297298298299299298299300301301301302302301302302302302302999999999999999299295296293293296297999999999999999999999999999999302302304304303304304303303303302303303303303303303302302303302302302302301301301301302301301301302302301302302302302302302303302303304303304303303304302302302302302302301300302302303302303303303303303301302302302303303303303302302302302303302303302301301301301301301300300299300300300300300300300300300301301301299300300300299300300300300301301301301301302302303303303303303303304304304304302304304304303301301301301303303303302302302302301301301300300300300300299300300300299299299297297297297298298298299298299299299299299300301302301302303302302302302301301300300299300300301301302303301301301301302303302302303303303302302302304303301301302302302302301301302300300301300301299300300299299299300300301300300301302302300301301298300300301302303304303303302302302301302302301302302302302303301301302302302303304303303303304303304305305305305306307307307305307308304305304304304303304303303302301302303303302302303303303303303303302302302303302301301301301301301301300298299300299300301300300299300299299299299301301300299300300299298297297297296297297297296296296297296296295295295295295293295296296296295297297296296296297296297297296296296297296296296296296297297296296296296295295295295295295295295295295295295295294295295295295296296296296296296296295295295295295295295294295295294294294294294294294295295294295295295294294295294294295295294294294293293293293293293293293293292292292292291291291290290289289289289289289289288289289289289289289289290290290290290290290290290290289289289289289289289289289289288289288288287288288287288287287287287287287287287288288288287287288288288288288288289289288288287288289288287287287288287287 296295295294294295296294295295294294294294292293293293293292291290292291294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294291291291290290289289290291293293294295294294294295296296296295296296297298299300300301301300301301301300301301301300301301301302302302302301302302302301302302302299299300301302303303302302302303303301301301300300300299299299299299299298298299299298298298298298298297298298297297297298299297299300300299296295296297297999999294301299299299300300300298297296296296297298299299299298300298298301302302301301301301302302999999304303999999999295293293295296999999999999999999999999999999999302304303303303303304303302303303303304302302303303303302302303302302301301300300301302301302302303303302303302302302302302303303303303304303302302302302302302302302302301302302303303302303303303301302302302303303302302302302302302303301302303300301301300301301300300300299298300300300300300299300301300299299300300300300300301301301301302302302302302302303302303303303304304304305305306304304304303302300301301302303303303303303302302302301301301300299300300300300300300299299298297297297298299299299299299299298297299300300301301301302302302302300301301301302300300300300301303303301301302302302303303303302304304303305303302304302301301301302303303303304302301302302300300300299300299299300300300301300300300301301300300299298301301301304304304304303302302303301301301303302302302302302301301302303304303302303303303303304304305305306306306307306306306307307304305304304304303303303302301302302302302302302303303304303303303303303301302301301301301301301300300300299299299300300301301299300299299300300299300299298298298299298298297297297297297297297297298298296296295296295295296295296296296296296295296295296295297297297297297297296296297297296296296296297296296296296296295295295295295295295295295295295294295295295295296296296296296296296296296296295295295295295295295295294294295294293294294295295294294294295295295295295295295295295294294294294294293294293292292292292291291291291291291290290290290290289289289289289289289289289289289289289289290290289290290290290290290289289289290289290291290290289288289289289288288288288288288287288287287287287287287287287288288288288288288288289289289288288288288289288288288288288287287 297295295295295296296295295294293293294292292293294292292293291290290999294291291999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292292291291291290290290291292293293294294294295294295295295296295296296297297298299300301301301301301301300301301301300300300301301302302302301302301301302301301301300299300300302303303301302302302302302300300300299299299299299298299299297298299298298298298297297298298298298298298298298299299299299298297296297298297297297999999999299299299300300300299298297297297297298298298297298298298298301299302302301301300302302999303304303999999999999293293294296297296999999999999999999999999999302303303303303303303303303303303304303303303302303303302303302302302301300299301302302302301302303302302302302303303302302303303303303303302302302303303303303301302301302302302302302302303302302302302302302303303302301302302302302301301302301301299299301301301301300299300300299300300301300300301300300300299299299300300300301302301302303302301301301302303303303303303303304304305305304305304303302302303302303303303302303302302302302301301301300300299300301300300300300300300298298298298299299299300300300298299298299300301301301302302302302302302302301301301302301302301302303303301301302303303304304304304305305303304305306305303302302301302303304304302301303302302302301302300300300301303300300300301299300301300299300300300300304305305305305304303301304302301299302300301301299302300301301303303303302301303302303304305304305305305305306306306306306306306304306304304304303303302302303302302302301301302304303303303302302302302301302301301301301301301301302301300299298300301301301299299299299300299298298299298298298299298297297298297298298297298298298297297296296296296296296296296296296296296296296296296296296297296297296297297297297297296296296296296296296296296296295295295295295295295295295295295295295294295296296296296296297297296296296296296296295296296296295295295295294294294294295295295294294295295295295295296296296295295295295294294294293293293293292292292291291291291291290290290290290290289289289289289289289289289289289289289289289289289289289290289289289290289289290290290290290290289290289289288288288288288288288288288288288287288288288288288288288288288287288288289289289289289288289289288288288288288288288 296295295295294292294295296294295294293292294294293292292291292291291290290292293293999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292291291291291290291291292293293293294294294295295295295295296296296297297298299299300301301302302301302301301301301300300300300301302302302303302302301301303301301300300300300301301302301302302302301301300300300299299299299299298298299299299299298299300297297298297297298299299298298298298298299298297297297297297297297295299301301300299299301300299299299298297297296298299297296297298299299300301302303303302301301300305304304303301999999999294295295295297297299999999999999999999999302304304304303303303302302303303302303303303303302303302302302302303302300299300299300301302301301302302302302303303303303303303303303302301302301302302302303303303302302302301302302303303303302302301303302302302302302302302302301301302302302300299300299300301301300300300300300300300300300300300300300300300300300300299299299301301301301301302302301303303303303303303304304305306305302302302303302303303302302303303302301301301301301301301300299299300299300300300299300299300299299299299299299300299299300299298298299300301302302302303302302302302301302301301302301302302302302302302301301301303304304303305306305305304303304303304303303302301302303303303301301304302301301301301300300301301300300300301300300302302301300300301300302304305304304303302302303303302301300300299299300300301301301301302302302301302303302303303302303304304304304305306306306306305304304305304304303303303303302302303303303303302303304303304303302301302302303301300300300300300300302302299299299299300301300300299300298299299298298298298298298298298298298297298298298298298298298298298298297297297296296296296295296295296296296296296296296296297297297296297296297298297296296296296296296297296296296296296295295295295295295295295296296295295296296296296296297297297297297297296296295296296296296296295295295295295295295295295295296295295296296296296297296296296295295295295294294294293293293293292291291291291291291291291290290290289289289289289289289289289289289288289289289289289289289289288289289288289289289290290291290290290290289289289288288288288288289289289288288288288288288288288288288288288288289288289288289289289289289289289288289288289288288287 294294294294296296294294294295293294294292293294294293290292292292291290291293293293999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299292291291291291291292293293293293293294294294294294295295295296295296297298298298299300300301301300302302300301300301300301300300300301302302302302302303302302301300300299300299300300301301301302301301301301301301300300300299299299299299299298299298298298298298298296298299300299300300298298298298299299298297296297296297999300301301302301300300300299299298298297297297298298298296999300298299301301302304304303303302301303303303303301299298999294295296297297298299300999999999999999999303304304303303303302303303303302302303303303303303303303302302302303302302301301300300300302302301302302302303303302304303303304303303303302302302302302302302302302302302302302302302302302302302302302302303302303302302302301301301301300299300299299299299298300300300301301300300301300301300300300301300300300300300300300300300300300301301302302303303303304304303303303304305305305305304302303302302303302302302303302302301300300300302301300299300300300300300300300299300299299299299299299299299299300300300299299299299301301302302303302303302302302302302301301302302302303302302302302302302303303304305305305305304304304304303306304303306303303303303303303302303303304302302301302300300301302302301300301302302301302300301301302302303302302303303302303304303304303302301299300299300299300300301300301301300301301302302303302304304304302303304305305305306305305305305304305304304303303303301303303304303303303304303303303303302302302302302301301301300300301301302300299298299300301300300300299299299299299298298298298298298298298298298297298298297298299299299299298298298298297297296296296296295296297296296296297297297296297297297297296296297297297296296297297297297296296296296295296296295296296296295295295296296296296296296297296297298298298298297298296296297297297297296296296296296295295295295295295295296296296296296296296297297296296296296295295295294294294293293293292292292292292292291291291290290290290290289289289289289289289289289289289289289289289289288290289288289289289289289290290291291291290291291290289289289289289289289289290289289288288288288288288288288288288288288288289289289289289289289289289289289289289289288287 295294295295295295296294294294293293294295295296297295292292293292291291290291291294292999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290291291292291292292293293293293294294294295295295296296296296296297297297298299299300300300301302301301301301301300302301301301301301302302301302302302302302301301300300299300301300302302301302302301301301300300300300299299299299299299299298297297299299298298298296297297299299299299299299298299299299300300298297297296999301301301303300300298299298298300296297296297298297297298299999999999303304304305305305305304303304304304302301299297297295295296296298299301301299302999999999999302302303304304304303303303303302303303303303303303303303302303303304303303301300299301301302301303301303303303304304304304303304303303303303302302302302303303301302301302302303302303302302303302302302302301302303302303301301300300300300300300299300300300300300300300300300300300300301300299301301300299300300301301300301301301301302302302303303304304304304304303304303303305305306305304302301302302302302302303302301300299300300300299301300300300300300300300300299300300300300299299299298299300300301301300301300301301300301301302303303302304303302302302303302302302303302303303303303302302303304304305305305304304307304304304305304303304303303303303303303303304304303303301302301301301301302300301301302301300299303302301302301300301301303303303303304304303303303302302300300300300301299300299299301301301301301301301301302302303303301302302303305306306305305305304304305304304304303303302302303303304303304304303303303302302302302302302302300301300300300301301300301299299300300300301300300300299299298299298298298299298298299298299298298298297299299300300301299299299298298297297296296296295297297296296296297297298296297297296296297296296297297297296296296297297297297297296295295296296296296296296295295295296296296297297297297297298299298298298297297297297297297297297296296296296295295295295295296296296296296297297297297297297297296296296296295295295294294294293293293292292292292292291291291291291290290290290290289289289289289289289289288289288289288289289289289289289289289289289290289290290291291290290290290290289289289289289290290289289289289289289289288288288288289288288289289289289289289289289289289289289289288289288288 297295296297296297295296295295294294299297297298295293293295297294291291290999290292292999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290291292292292292293293293293293294294295295295295296297296297297298297297299299299300301301300301301301301302301302301301301301300301301302302302302302301302302301301300300300301301301303302302303302301300301300300299298299299299297298298298297297298298298298298296297298298297299299299298299300300300300301301300299301300301302301300299299298299298298300299299297298297298299301298297999999999304304305307306306306306306305304303301299298297296297297297999302302302301301999999999999301302303305305304303303303303303303302302303302303303303303303303304304304303303302303303301302301301302303304304303303303303303303303303301302302301302302303302302302302303303303302301302303302302303301303303300302301301301301300301300300300300300300300301300299300300300301300301301301301301300299299300300300301300301301301302302303304304304305305305305304304304303303303305305302303301301301302302301301302302301300301300300300300301301301301301301301300300300299299300300301300300300300300301302301299300300303302302301301302302302303303303302302302304303303303303303303303303303303303303304304304304305304305306305305304304305304304304303304303303303304303303303303302303301302302302302300300302301302302302303302303303302302301302301302301303303304303303304302303302301300300301301301299300300301300302302302302302302302302303301301302303304304305306306305305305304304304303302304303304303304303303304304303303302302303302302301302301300300301300300301303302302300301300300301301301302300300300299299299300300300299299299299299299299300300299300301301301301299299299298298297297297296296297297298297297296297297297297297297297297297297297297297296296297297297297297297296296296296296297297297296296296296296296296297297297297297298298298298298297297297297297297297296296296296296296295296296296296296296296297297297297297297297297296296296295295295295294294294293294293293293292293292292292291291291291290290290290290290289289289289289288288289290289289289288289289289289289289290289290289289289290290290291291291290290290290290291291291290290290290289290289289289288289289289289289289289289289289289289289289289289289290289289288 295295296297298298297297296295297298296297298297297297295294295295293293291292293293291293999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292291291291292292292293293293293293294293295295295295297297297298297297298298299299299299300301301300301301301301301301301302301301301300301301302302302303303303303300301301301302301302302303303303304302302301301300300300299298298296296297297298297298298299298299298298298297298298298297299299299299299298299299299298298299299301301301301299299300300300300300300300299298299300299300300300298999999999999307307999311309308307305304303301300300299297296298298298999999301302304999999999999999305303304305305304303302302303302302302303303303303303302303303303304304302301301300301303304302302303303303303303303303303303303303303302302301301301302302301302302302302302302303302303303302303302301301301302301302301301300300300300300300300300299300300300299300299300300301300300300300299300300300300300301301301301301302301302302303303304304304304305305304303304304305304304305302303301301300299300301302302301300300301301301301301301301301302301300301300300300299300300300301300300300300301302302300299299299303303301301302302302302303304303303303303305305303304304304303304304304303303303305304305304304305305304304304304304304306303303303304304303303303303303303303305303302302303303302301302301301300303304304304302301303301301301300301301301302302303302303302303302301301300300300300300300301300301300301302301302302302300301301303303303303305305305305305305305304304304304304304303303304303303303304304304303303303302304304302303301301301300301301302303303302301300301300300301301300300300300299300300301301300300300300300300300300300300300300302301301301300299298299299297297298297296297298298298298298297297298297297297297297297297297297297297297297297296296297297297297297297297297297296297297296296296296296297297297297297298298298298297297297297297297297297296297296296296296296297296296296297297297297297297297297297297297297296296296295295295295295294294293293293293293292292292292292291291291291290290290290290289289289289289289289288289289289288289289289289289290289289289289289289290290290291291290291290291291291291292291292291291291291291290289289289289289289289289289289289289289289289289289289289289289290289288288 295295296296296297297298295296296297298299298297298296295294295294293293292292294292292294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291291291292292293293293293293293293295294295295296296298297297298298298298298299297299301301301300300300301301301301301300302302301302301301301301302302302302302301301301301302302302303303304302303303302302301300298299298299298298297297298296297298298298298298298298298299298298298299297298299299300299298299299298298298298298299300300299299300300301300301301299300299299300300300300300301300999999999999999999999999999999306302302301299299299299298298298300999999300299300302999999999999999999303304305305304303303302302302301302302303303303304303303304304302300301301304301301303304303303303303304304304304303303303303303303302302302301303303303303302303303302303303303302303302301302301302301300300301301301301301300300300300300300300300300300299299300299300301301301301300300300301301301300300301300301302301301302302303303304304304304305305305304304305306304304304305304302301300299299299300303301299300300301302302302302302302302302301301301301300300300300300300301301301301301301302300301301301301299303303303302302302303303304304304303304304304304304303305304304305304303304305305305305305303304304304304304305305305304304305305305304304304302303304304304304303302304304303302302301300299303302303304305305302302300301302301301301302301302303302301303303303303302300300300301301299300298298302302300301302303300302301302303303303304305305305304304304305304305305304303304304303303303303303303304302303303303303303302303303301301300301301302303302301302302301301301301301301301301300300300300300301300300301300301300300300300300302301302301301302301301300300300299298298298297297297298298298297297297297298297297297297297297297297297298297297297296297297297297297297297297297297296296297296296296296297296297297297297297298298298297297297297296296297297297297297296296296296296297297296296297297297297297297297297297297297296296296296295295295295295294294294294294293293293292292292292292292291291290290290289289289289289289289289289288288288288288289288289289288288288289289289289289289289290291292292292291292292292293292292292292292292291290290290289290289289289289288288289288288289289289289288289288289288288289288288 294295295296297296297298298297298297299300297296295297297297295295294294294293292291289290299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291292292292293293294293294294294294295295296296297297297298298298298299299298298298298300300300300301300302301302302301301301301300300301301301301301301302302300301302301302301301300302303303302303302302302301299298299299298298299296297296297297298296297297298299299299300300299299298298299299299299299299299299300300299300300300299299299298300301301300302302300300300299300301301301301301298999999999999999999999999999999304303301300300300300300299299299301999999300299300999999999999999999999999305305303303303302301302301301302302302302302303304304303302302301301301301301302302303303303304304303304304304304303304303303303302302302303302302302302302303303303303303303302302302302302302301301300300300300300300301301300301301300300300301301300300300300301301301301301301301300300301301301301301301301301302301302302303304304304304304304305306304303304304304304304303303304300300300299300298300300301301299301301302302302302301302302302301301301301301301301301301301301302302301301301301301300301301301302304303303302303303303303304305305304305306304304305305304304305305304303304304306306306305305305305303304303304304304304304304305305305303303304304304303304304303304304304303302301302301303302303301301302302301302301303302301300300301301301303303301301302302302301301301299300300298300299300300298301301301299300300301303303303304303304304303303304304304304304303304302304304304303303303303302302302302303302301302302302301301300301301302302302301301302301301301301301301301301301300300301301301300300301301301300301300300301301301302303303302303302302301301300300299298298298297297297297297297297298297298297297297297297297297298297298297297296297297296297297297297297297297296296296296297297296297297296297297297297298299298297297297297296296296296296296297297296296296296296296297297297297297297297297297297297296296297296296296295295295295295295295294294294294294293293292292292292292292292291290290289289289289290289289289289289288289288288289289289289288288289288288289289289289290290290290290290291291292293292292292292292292293292292292291291291290289289289288288288288288288289289288288288288288288288288288288288 294294295295294297298297298296295297295298297296295294295296296298296296296295293292291293292999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287288289291291292292292293293293293294295295295295296297298297297297298297298297298298298298298298299299300300300300300301301300300300300300300300300300299299301301300300301302301301301300301302302301301301302301301300299298298298298298299297297297297297297297297298299298298298300300300300299298299300299299299300298296999298300300300299300298299299300301301300299303305305304301300302302301300300999999999999999999999999999999999303302300300300301300300299300301302301999999999999999999304305999999999999303302303303303302302302302301302303303302303303303304303304302302302302303301301303303304303303303303304304303304302303303303303302303303303302302301302302303303302303303303302303302302302301301302301300300301301301301301301301301301301300301302301301301300302301301301301301301300300301301302301301300302302302302302303303304304304305305305305305304303303303304305304304302303299300300300300300301301301300300301301302302302302301302302302302302301301302302301302302301301301301301301300301301301301301301302302302303303303304304304304305305306306304305304304305304305305305304304305305306306305304305306305304304304304304304304303305305305305303304305304304304304304305303304304302302302303302303302304302302302302303301301302301301301301302303302303300300300302301302301301299299300300300300300301300300301299300301300300302301302303304303304304303304305304304303303303303304304305304303303303302303303303304304303301301302301301300300300302302302302302301301301301301301300301301301300300300301301301301300300301301300301301302302302301303303303303303303302302301301300300299298298297297297297297298297297298298298297297297297297297297298298297297297297296296297297296297297297296296296296297296296297296296297297297297298298298298298297297297296296296296296296296296296296296296296296296296296297297296297296297297297296296296295295295295295295295296295295295294294294294293293293292292292292292291291290289290289290290290290290290289289288288288289289289289288289289289288288288288289289290290290290290290291291291291292292292292292292292293293292292291291290289289288288288289288288288288288288288288288288288288288288289288 295295295294296296297298297296294296296297298296297296296295297296295298298298296293292292291999999999999299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290289289290290291292292293292293293293295295296296296296297297297298297297297298298297298298298298298298299298299300301300300301301301301300300300300300300301298298301301301300300301301300300300300301301301302302302301300300298298299299299300299299299297298298298298298299299299299298299299299299299299299300300298298299298296999299301301300298299299299298298300301299299299300299302300300301301301301299999999999999999999999999999999303301300300300300303302300299303303302302999999999999999999304305999999999999303302302303303303302302302302302302302303302303304303304303303303303303303302302302301301302303303303303303302302303303304303303303302302302302303302302302302302302302303303302302302302301301301301301300300300302302301301301301302301301301301302301301301301301301301301301301301301302301301301302301301302303303303302303303304304304306306304304305303303304303303303303303301299300299300300299301301301301300302302302302301301302302302302302302302301302302302302302302302302301301301301300301301301302302301301302303303303303304304305304304304305303304304304305306306305305305305305305305306305304304305306305305305305304304305305304306307308305305305304304305306304305304304304303303303304303302302301301301301303300302301303302302302301300300301301301300301300300301301301301301300301301301301302301302302300300299300300302301300301302303303303303304305304304304303303303303303303304302303303302302301302303302301301301301301301301300302301302301301302302301301303301300300301302302301300300300300299299301300300300300301301301302301302302302303302302303303302302301300300299299298297297297298297297297297296297298298297297297297297297296297297297297297297296296296296297297297297297296296296296296296296297297297297297297298298298298297297297296296296296295296296296296296296296296296296296296296296297297297296296297297296296295296295295295295295295295296295295295295294294294293293293292292292292292292291291290291290290290291290290290290289289289289290289289289289289289289289289289289290290290290290290291291291291292292292292292292292292293292292291291290290290289288288288288287288288288288288288288288288288288289289289289 296295295294294296296297297297295297296296296296296295297296298296296298299297296295293290288999999999299296296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290291291291292292293292293293293293293294295294296296296296297297298298298297298298298297298298298299299297298299299300300300300301301301300299300299300300300300298298301300300299300299300300301300300299300301301302301300300299299300300300300300299299299298298298298298298298298299300300299299299299300300299300299298299300297299999302300301299299298299300299300300300300299300299301300301300300301301301300297999999999999999999999999300301301299300301301301300299999304305302302999999999999999999304305303301301302303303302303303303302301301302302302303303302303304303303302303303304303303302301301301301301302302303303302302302302301302302302302303303302303303302302302302302302303302301302301301301301301301301300300301302301302302302301301302301301301300300301301301301301302302300301301302302302302301302301302303302301302302301302302303303302304303301303303302302304303304303304302300299300300300299300300301301301301301301301300301301301301302302301301301302301301301301302302301301300301301300301301301302302302301302302303303304304304304305305305305306305304304304303303305304304303303305305305304303304305305306306303304304304304305305307307305306307307306305306305305305304305304304304303303303303303302301301301302301301302301300300301300301297299298299299300302303301300300301301300300300300300300301301301301302300299300300301301301302302303302302303304304304304304303303303303303302302302302303302302301302302302301302301301301300300300301301301301301301300301301302302301301302302302301300300300300300299300299299300301301301302302302301302301302302303303303302302302301300300299298298297297297297297296297297297298298298297297297297297298297297297297297297296296296297297297297297297297297297297296296297297296297297297297297298298298297297296296295295295296296296296297296295296296296296296296296296296296296296296297297296296295295295295295295295295295295295295295295295294294294293294293293292292292292292292291291291291291291291291291290290290289289289289289289289289289289289290290290290290291291291291291291291292292292292292292292292292292292291291290290290289289289288288288288288288288288288287288288288288288289289289289 295295296295296297297297297297295296296296295296296300296296295298299299299299296294292291291999999999298294294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292291291292293293292293292293293293293293294295295296297296295296298297298298297298297297298299299300299299299298299299300299300300301301300300299299300299300300298299299300299300300300300300300299299300300300301301301301302302301300301299299299299299299299299299298298298299299299298299300299300298299300298298299298298299298298999999302302301300300298300301300300299300301300300300299300300300300300301299298999999999999999999999305304301302999999303302301300299299999303303304303999301302999999999303303304303302302301302301302302302303302302302302303302303303303303303303303303303303303303302302302301302302303302303302302302302302301301301301302303303303302302303302302302303303302302301301301301301301300301301300300300300301301302302301301301301301301300301301301301301300301301300299301302303302303303301301301303302301302302303302302302303303303302302302302302303303301302303301301299300300300300300300300300300302302302302301301301301301301301302301301302302302302301301302301301301301302301301300301302304302303302303303302303304304304305305305305305305305305305304304304304303305304304304304304305304304305305305304305304304304305305304306306307306307307306305305304304304305304304303304304303303303303302301301301302303303303300300300300299299298298299299299300302302301300301301300300300300300300301302301301300300301301300301301301301302302302302303303303303303304304303303303303303302303303302303302302301302303302301301301301301300300300301301301301301301301301302302301301301302302302301300301301301300300301299300301301302302302302302301302302303302302303302302302302301301300299299298297298297298297297298297297297298298298297297297297298297297297297297297296297297297297297297297297297297298297296297297297297297297297297298298298297297296296295295295295295296296296296296296296296295296296296296296296296297296297296296296296295295295295295295295296296296295295295295295295294294294294293293293292293292292292292292291292291292292291291291291290289290289289289289289289289290290290290290290290290290290291291291291291291291291292292291292291291291291290290290290289289288288288288288288288288288287288288288288288288288288289288 295296296296296297297296297297297297296296295295294298297296299297298300298298297293292293295295300298295293293999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291291292292292293292293293293293294293294294293293294295293295295295296296296298298298296298297297297298299299299298299298299300300299300300300300299299300300300300300300298300299299300300300300299300299299299299300300300301301301301301302301301300300301301300299300298299299298299299299299299300300299300298300300298299298299298299299298300999301302302303302299300300301300300300302300300299299299299299300300300299297999999999999999999999301301300999999999999999300300299300999303305305304304304303999999999302303304304303302300299301303302300302302302303303303304304304303304303303303303303303303302302302303302303303303303303302303303302302301301301301303303303303301301302302302302302302301300300300300300300300300299300299300299299300300301301302302301301301301301301302301301301301300300299300303303304303304303303301302303302303303302302302303303303303302302301302303302302302301303301300300300300300300300300299299300300301301301301301301301300301301301301301302302302301301302302301302301301301301302301301301303303302303303302303303303304303302302307304305305305305305305304305305305304304304304304303305305305305305304304305304304304304304304305306306306304306305306305305305305304304303303303303303303303302302302301301301301301301300300302301300298298298298298299299301301301300300299300300300301301300301302300300301300300300301302302301301301302302302302303303303302302303303303304303303303303303302301302302301301302302303303302301301301301300301302301302301301301302302302302301301302301302301301301301302302300300300300300301302302302302302302302303302303303303303303303302302301301300300299298297298297297297297298298297297298298298297298297297298298298298297297297297297297297297298297298298298298297297297297297297296296297297297297297297297297296296296295295296296296296296296296296296296295296296296296296296296296296296296296296295295295295295295295296296295295296296296296295295294294294294294293293292293292292292292292291292291292291291291291291291290289289289289289289289290290290290290290290290290290290290291291291291291291291291291291291291291291290291290290290290289288288288288288288288288288288288288288288288288288288288288 294295296297296296296297298298298298297296296296296297296296296297299298298299299295292294295294298295291289291999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291292293293294294294294294294295294294293294293293293294293295296295296295296298299298298296298297297298298298298298298299299298299299299300300300299299300300300300300298300300300299300299299298298298299300299299299299300300301301301300300300300300301302300300298299299299298298299298298298298299299300300299298300300299298298298300299298999999999301302302301299300299299300300302302300300299299300300300300299298298999999999999999999999299298297297999999999999999297298299999999304304305305302303304300999999302302302301301301300300301302303303303302302303303304304304303304305305304304303303303303302303302303303303302303303305302302303302301301300301302303303302302302302302301301301302301301301301301300300300300300299300299300299299299301301301301301301301301301301301301301302302301300299299301304304303302302303303303303303304303303303303303303303303303302302301301301301301301301301301301301300300300300299299300299299300300301301301300300301301301302301301300301301301301302301302302301301301301301302302302302302303303302303303303303305304305305305305306305305305305306305305305306305304304305304304304304305305304304304304304304304304305305306306306307306308305305305305305305305304303303303303303303303303302302302302302301302301301301301300300299299299298298300300299300300301301301300300300300302302301301301300300300300301301301302302301301302302302302302302302303302303302303303304303303303303303302302302302301301302302303303303302302302302302301301302302301301302302301302303302301301301302302300301302300300300301301301301302302302303302302302302303303303303302303302302301301301301300299299297297298298297297297298298297297296297297297298298297298298298297297297297297298298297298298298298298298298298298298297297297296296296297297297297297296296296295295294295295295295295295295296296295296296296296296296296296296296296296296296296295295295294295295295295296295295295296296296295295295295294294294293293293293293293292292292292292291292291291291291291291290289289289289289289290290290290291290290291291290290291291291291291291291291291291291291291291291291291291290290289290289289289288288288288288288288288288288288288288288289289288289 294295297297297298295296299299299298297297296295295296296297296296296297298297298297296295295295293292287999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294292292294293293294294294296296296295295295294295295293294294295295296296296296296298298299298298298297297298298298297298298298298299299299299300300300299300300300300300300300299300300300299299298298298298300298298298298298300300300300301300300300300300302302300299299299300300299298299299298299299298299300299300300298300300297298298299297295999999999300301302298298298298298299300300298298298298297299300299301300300298297999999296296296999999297296999999999999999999297298298999999305304303305305303303301999999999300301302300300300300301302303302302302302303303303302303303305304304304303304304302303303302302302303303302303302304301302303302302301301301301302302303303302302302302300301301301301301300301300299300299299300301300300299300300300300299300301301301301302301301301302303301300301299300301303302302302301301303303303303303303303303302303303303303303302301301301301301302301301301301301300299300299299299299299299300300300301300301301301301300301301302301301300300300300301301301301300301301301301302302303302302302302303303303303304304305305305305305306305305305306306305304305305305304305306304304305303304305305304304304304304304304305306305306306306305306305305305306306305304304304303303303303302302302301301301301301301301301301301301300299300298298297299298301302299301301300303301300300299302302301302301301300301301300301301301302301302302301302303302302303302302302303302303304303304303303303302302302302301301302303303302302301301301301302302302301302302301302303302302302302301301302302302301301300300300300301301301301302302303303302302302301303302303302302302302302301301300300300299299297297296297297298297297297297297297297297297297297297297297298297297297297297297298298297298298298298299299299298298297297296296296296297297296296296295295295295295295295295295295295295295296296296296296296296296296297297296296296296295296295295295295294295295295295295295295295296296296295295295294294295294294293293293293292293293292292292292292292292291291291291290290290289290289290290290290291291291291291291291291291291291291291291291291291291291291291291291291291291290290289289289289289289289288289289289289289288289288289289289289288288288 293295297297297296297296298299299298298298298297297297297296297296296297298297298298297296295294294292292293999999293291999999999999999999999999999999999999999999999999999999999999999999999999999999999999296999999999999999999999293292292293293293293294295295295296296295295295296296296295295294294294295295296296296296297299299298298299298298298298298297297298298299299299298299300300300299299300300300300300300299300300300299299300300299298298300300300299298300300298300300300299299300300302301299299299299298300300300299299299299299299300299299300299298297298299297297296295294999999999999301999999299299298299299298298297298298298298298300299299299300298297999297297296296999999297295999999999999999999297298999999999303304304305305305303301999999999999300299299300301302303302304300302302303303302303303303304304304303303303303303303303302302302302302302301302302302302302302302302302301301302302302302302302302301302300301300300301300300299300299299300299299298300300300300300299300299300300302302302302302302301301301300302302300300301301301301301301302302303303302303303303302303302302303303302301301301300301301302301301301300300300299300299299300300299301300300300302300302301301301300299300302301300300300300300300300301302302301301302302302301302302302302302303303303303304304305305305306305305305305306306305305304305306305305305304304304304305305305304304304304304305305305306307306305305306306305305306305306305305304304303303303303302302302302302301301300301300300301300300300299298298297298297298298299300301300300303304300299300300301301302302301301300300300301301300300301302302301301301302301302302302302302302301302303303304304303302302302302301301301302302302303302301301301301302301301302302303301301303303302301301301301302301300301301300300300300301301302302302301302302302302302301302301302302302302302302302301302300299299298298297296297297297297297297297296297296297297297298297298298297297297297297297298298298297297298298299299299299298298297297296297297297297297296296296296296295295295295295295295295295295295296296296296296296296296296296296296296296295295295295295296295296295295295295295295295295296296296295295295294294294294293293293293292292293293292292291292292291291291291291291291290289290289289290290291291291291292292292292291291291291291290291291291291291291291291291291290291291291290290290289289289289289289289289289289289289289289289288289288288289288288 293295296296296297298297298299299299299300299299299298298296295296295296297297297297297296296295293292294295295293293292291290292291999999999999999999999999999999999999999999999999999999999999999999999999999296298999999295292293294293294294294294294294295296298298297298295296295294295296296295295294295295296296296296297297297297296297297297298298297297297298298299299298298299299299299299299300300300300300300300301301301299300300299298299298300300299299298299298299299301301299299300300300299299299298298299300300301299299298299299298299299300300299298297297297296296296296999999999999300300300300300300299299299298298299299298297297299299299299298298297999297297297297297999300297999999999999999999299297298999999999303304305305305305304999999999999999299298298297300304303303302303303301302301303303303303303304304303304303303303303303303302302302301301302302301300301301301302302301301301302301302301301300302302301302301301300299300299299300300299299298299300301301300301300300301301301302301301301301301301301301301301301302303301301301301301301301302303303303303303303303302302302301303302302301301301300300300301301300300300300300300300299299300299300300300300301301300301302301300300300300301301301300300300301300301301302302301301302302301301302302302302303303303303304304305304305305305305305304305306306305305304305305305304304303305305304305304303303303304305306306306306306305307306305306306306305306305305304303303303303303303302301301302301301300300300301301302301300300299299299299299298298297299297300301303302303302299299299300300301302301301301301300300301300301301301302301301301302302301302302301301301302303301303304304304303302302302301302302302303301302302302301301301301301303302302302302302302302303302301303303302301301301301302301300300301301302302302302301302303303303303303302302302302302302302302302301302299300299298298298298298297297297298297297296296297297297297298298298298298298297299298298298298297298298298298298298298299298298297297297297297297297296297296296295296295295295295294295295296295295296296295295296295296296296296296296296296296296295295295295295295296295296295295295295295295296296296295296295294295294294293293293293293293293293292292292292291291291291291291291291290290289290290291290291291291292292292292291292291291291291291291291291291291291291291290290290290291290290290290290290289290289289289289289289289289289289289289289289289289289289 295294296296296297297297298299299299300300300300299299298298296296296297297297297297296295296295293292295295296293289999999293293292291999999999999999999999999999999999999999999999999999999999999999999999298299297296295295294295295294294295295294294295295296296298298296296294295295295294295294295295295294295295296297297297297296296297298298297297298298298297298299298298298299299299299299299299300300300300299299300300300300299298298298298298300300300298297299300299300301301299299300299299298298298298298298299299300300298299298299298299299300299299298297296296295296999999999999302301300300299299298299300298298299299299298297297298298299299298299298297298297297297297297298298298299999999999999299299299999999999999302303304305304305304300999999999999299299298297302302304303303303301301302302302303303303303304304303302303303303303302303302302302301301302301301301300302302302301302300301301301301301301301301301301301301301301300300300299299299300301298300300301302302300300300300301301301301302302301301301302302302301302303305304302300302302302302302302302303303303304303303302303303303302301301300301300300300300301300301300300300300300300299299301301301302302301301300301301301302300301301301303301300301300301301301302303302302302302303302302302303303303304303303304304305305305305305305305304305305305305305305306305305305304304303304304304304303303303304304305306306306307307307307307308307306306306306305305304304303303303303303302302302302301301301300301301301301300300300301300299299299298299299299300300300301302302302299300300300301301302301301301301300300301300301302302302301301302302301301302302302301302302302303304304303303303303302302302302303302302303303302301302301301301302302302302302302302302303303302302301302302301302301302301301301301301301302302303302302302302303302303303302302302302302301302301301301301300300299298298298298297297297297297298296295296296297297297297298297297298298297298298298297297297298298298298298298298298298298298297297297297296296296296295295295295295295294294295295295295296295296296296296296296296296297296296296296296296296296295295295295295295295295295295295295295295295296296296295295295295294294294294294293293293293293292292292292292291291291291291291291291290290290290291291291292292292292292292292292292291291291291291291291291291291290291290290290290290290290290290289290290290289289290289291290289289289289289289289289289288288288 295295296297297298298298298297297298299299300300300301300299297297297298298297298297297295294294294295295294293292291999999293293293292291999999999999999999999999999999999999999999999999999999999999999301301299297295295296295295296296296295295294294294295296296296296296295295296295295295295295295294295295295295295297296297297296297297296297297297297298298298298297298297297298298298298298299299299299300300299299301300300299299298298298298298299299299298298298299300301302300299300300299299299299299299298298298299299299298298298299299299300300300299297297296294294295999999999299299300299299299299299299299299299298298297297297297297297299299298298298297298297297298297298298298297298999999999999298299300999999302302302303305305305304302299999999298298297299299999301302302302302302301302302302303303302303302302302302302302301302302302302302302302302301300301301301301302302301301301300300301301301301301301301301301301301301301300299300301301299300298299299301302301301301301302301301301301300300302300300301302301301301301302303303301300302302302302302302303302302302303302301302302303302301301301300300300301300300300300301300299300300299299300300302301301301302301301301302301301302301301301301303302302301301301301301302302301303303303303303302303304304304304303304304304305305305305306305305305305305305305305306306306305305304304304305304304304303304303304304305306307308307306306307307308307307306306307306305305304303303304302303302303302302301301301301301301300300301300300299299299299299298299298299301300300300301301300300301301300302302302301301301301301301300300301302301302302301301302301302302302303302303302303303304304303303303303303303303302302302302302303301301302302302302302302302302302302302303303303302302302302302302302301301301301302302302303302302302302302302302303303303303303302302303302301301301301301300300299299299298298298297297297296296297296296296296297297298297297298298298298298298298298298298298298298298298298298298298298298298297297297297297296296296295295295295295295295295295296296296296296296295295297296296296296296296296296296296296296296296296295295295295295295295296295295295295296296296296296296296296295295295294294293293292293293292292292292292291292291290290291290291290290290291291291292292292292292292292292291291291290291290290290290290290290290290290290289290290289289289289290289289289290289289289289289289289289289289288289288288288288288 295295296297298297298297297297297297299299300300300300301300298299299299298298298297298296295294294294295291293292292290294294294294294295295295999999999999999999999999999999999999999999999999999999999999298298297296296297296296296297297296295295294294294294294295295296296296296296295295295294294294294294295294294295296296297296297296295297297298298298298298297298298298298298298297297298299299299299300300299299299300299299299299298299298298299299299299300299298300300300300300300300299299299299299299298297298299299299299298298299299299300300301298299297296296999999999999297297297298298298298298298298298299299298298298299296296296298296297298298298298298297298297296296296296295295999999999999297296999999298301301300300999306306305301300999999297297298300299999301301302301301302302302302303303302303302302302303302303302302303303303302302302302303302301301302302302302302302302301301301300300300300301301301300301301301301301300300300300301301298298298299300301301301301302303302301301300299301300299301301301301301302301301302302301303304303305304305305303304305304303302301301301301301301301301300300300301302301301300300299300299300300299299301303301300302302302302302302302302301301301301301300301301301301302301302302303303303303303303302303303304305304304304304304303304305305306305305305304304305305306306305306305305304304304304304305304304303304304304305306306309307306306307307307307307306306307306305305305304303303303302303303303302302302301301301301301301301301301301300299300300299299299299300300301300300302300299300300301301302301301301301301301301301301301301302302302302302302302302302302302302303303303303303304305305303303303303303303303302302301302302301302302302302302302302302302302302302302303302302302301301302301302302302301302302303303302302302302302302302302303303303302302302302303302302302301301301300300299299299299299299298298297297297297296296296297297297298297297298298298298298298298298298298298298298298297298298298298298298298297297297297296296296295296296295295295295295295296296296295295295295295295296296296296296296296296296296296297296296296296295295295295296295295295295295295296295296297296295295296296296295295294294294293293293293292292292292291291291291291290291291291290290291291291291292293293292292292291292292291291290291290290290290289290289290290290290289290289289289289289289290289289290290289289289290290290289289289289289288288288288288 294296296297297297296297297297297298299301301302301301301300300300300299298297297298298296296294295295295296293294293292294294294294294295296295294292999999999999999999999999999999999999999999999999999299299300297296296297297296297297297297296296295294294293294294294295294295295296295294294293294294293294294295295295295295295294296297297297297297298298298298298298298298298298297298297298299299299300300300300300300300300300300300299298298300299298299300300300300301301299299299299299299298298298298298298298299299298299297297299299299300299299299298298298296297999999999999295296296296296297297297297298298298298298297297300297298298298298298298298297297297297298296296295296295295999999999999297295999999298298297297297999999999999302301300300300298299298299298298999300300301300302303302303303303303303302302302302302302303303303302302301303303303302302302302302302302302302302301301301301301300300300300301301301301301302301300300300300300300300299299300300301301301302302301302302301301300300300300300301302302301301299299301301300303304304305301301305305305304306305301301301301301301301301301300300300300301301301301300300300300299299300300299301303302301303302303302303301302301301301302302301301301301301301302302303303303303303302302302302303303304304304304305304304304304304305305305305304304304304305306306306306306305305304305304304306305305304304304305306305307307307306306307306307307308307305305305305305304304304304303302303302302302302301301301301301301301301302302302302300300300300300301301301301299302302302301299300301302301302302301301301302301301302302302302302302302302303302303303302302302302303303303303303304305304303303303304303303303302302302302302301302302302302302302302302302303303301302303303303302302301302302302302302303302303303303302301301302301302302303302302302302301302302302302302302301300301299299299299299299299299298298298298297297297296296297297297297297297297297297297298297297298298298298298299298298297297298298298298298297297297297296297296296296296295296295295295295295295296295295295296296295296296296296296297296296296296296296296296296295295295295295295295295295295295295295295296297296296296295295295295295294294294294293293293293293292292292291291293292291292292291292291291291291291292292292293292292291292291291291291290290290290290290290290290290289289289289289289289289289289289290290290289290290290290290290289289290289289288288288288288 294294296297297298297298298297297298300300300300300300301301301300299300298297298297296295295295294296295295297295294293293293295294295295295295295290289999999999999999999999999999999999999999999999298297297296297297297297297297297297297297296296295295294294294294294294295295295295295294292293294294294294294295296297296296296295296297297297298298297297297298298298298298298297298298298298299299300300300301300301300300300300300300299298299299299299300299300300300299300299299300299298298299298298298298298299299299299298298298298300299300299299299299299299298999299297296296296296296296296296297297297297297298297298298298298297298297297297298298297297297297297297296294294999999999999999999999298294999999297297295297999999999999999299299300301300299299298298297297300299299301999301303304304303303303303303302302302302302303303302303302302303303302302302302302302302302302301301300300300300300301300300299299301302301300300300299301301301299301300298299300300301300300302301302302301301299300299300301300301300300299300298298298299299302301302304305302303305303304304303302301301301302302300300300300300301301301300301301300299300300301300301301301302302301301302303303302302301301302302302302301301302301301301302302303303303303303303303302302302303303303304304304304304304303304304304304304305305304304304305305305305306305305305304304305305305305304305304304305305305306308307307306306306307307307306305306305305304304304303303303302302303302302302302302301301302301301301302302302301301301301301300300300301301301302302302300300301301302302301301301301302301301302301302302301301301301302302302302303302302302303303302302303303304304304303302302303303303303303303302302302301301302303302302303302302302302302302302302303302302302301302301303303303303302304304302301302302302302302302303302302302302302301302302301301301301300301299299299299299299299299299299298298298297297297297297296297296296296297297297297297297297298298298298298298298298298298298298298298297298298297297297297296295295296296296295295295295295295295295296295295295296296296296296296296297296297297296296296296296295295295296295295295295295295295295294295295296296296295295296295295295294294294294294293294293293292292292292292292292292292292292292292291292292292292293293293293292292292291291291291291290290290290290290290290290290290289289289289290289289289290289289289290290289289290290289289289289289289289288288288288 294294296297297297296298298297297299299298299299299301299300299300299299297298299297295295296295296296295295297296297295293293293293295294296294299295999999999999999999999999999999999999999999999999301297297296296297297297297297297296296296296295295294294294294293294295295295295295295294293293292293293294295295295296296296297297296296297297297296297297296297297297297298298297297298298299299299299299300301300300301301302300299299298299299300299299298299300300299299300300299299299298298298298298298298299299300299299299300299298299300300300299299299297298999299298297297297297297297297297297297297297297297297297297296297297297297297298297298298298297297296297297296296999999999999999999999300299297999999298297999999999999999999999299298299301301300299297296297296299299301303999302304305304303303303303303303302303302302302302302303303303302302302302302302302302301301301302302302301300300301300300299299300301301300299299302300300302301301301300299300301301301301300300301301301301300299299300300300300300300300299299300300299299298300299300302302302303303302301302303302300300302302301300300300300299301301301301300300300301300301301301301301301302301301301301302302302301301302302302301301301301301301302301302303302303303303303302303302302302303303303303304304305304303303304303304304304304305305304305304304305305305305305305305304304305305305305304303304305305305307307307306305306306306306307305306306305305304304305304303303302303302303303302302302301302301301302301301301302302302302302301301300300301301302301301300301301301302301301301302301301301301300301302302301301301301302302301301302302302302302303303302302301303304304303303302302303303303303303302302302301301300302302302302302302302302302302303302303303302303301303302302303301303302302303304302301302302302302301302302302302302303302302302301301300301301300300300300300300300299299299299299299298298298298297297297297296296297297298298298298297297297297298298298298298298299299298298299298298298298298298297297297296296296296296296296296295295295295295296295295296296296296296296296297297297297296297296296296296296295295295295295295295295295295295295295295295296295296295295295295295294294294294294294293293293293292292293292293292292293293293292292292292292292292293293292293293292292292292291291291291290290290290290290290290289289290289289289289289289289289289289289289289289289289290289289289289289289289288288288289288 292294295296297297297295297297297298297297298298299300299299298300299298298298298298295296296295297298296295296296296295296295294291292292291291291999999999999999999999999999999999999999999999999296296297297296296296298298297297296297296296296295294294294294294293294294295295295295295295293293293294293294294294294295295296296297297297297296296295296296297297297297297298297297297297298299299298299299300299299300301302302302300299299299299300299299299299298299298300300299299299299298298297297298297298299299299299299299300299299299299299299299297297297999999296297296297297297297297297298297296296297296296296297297296297297297296297297297297298298298297297296298296294999999999999999999999297297999999298297296999999999999999999999999296298299300299298298297999999301300302304303304303304304303303303303303303303303303303303302303304303303303302302303302302303302302301302301301302301300300301301300299300300300300300300300300300301301301301300300299300301301301300301299300301300300299300298301301300300301300300300300300300299300298300300300302302301301300302302303303302300300301300300300300300300300301301301301300300301300300301302302301301301302302301301301303302302301301301301302301301302303302301302302302303303304303303303303302303302303303303303304304304304304304304304304305305304304304305304304304305305304304305305305305305304305305305304304303304305305305305305306306306306306305306306306306306306305305305304304303304303303303303302302302302303303302301302301301301302303302302302302301301302302302301301302302302301301301302301301301301301300300301302302302301301301301302302301302302302302303302302302302302302303303303303303302303303302302302304303302301301301301303303303302302302302303302302303303302303303303302302303304302302302303302303303302302302301302301302302302302301301303303302301302301300299300300300299299299300299299298298299299299298298298298298297298297297297297297297298298298297297297298298298298299299299299298299298299298298297298298297297296297296296296296296296296296295296296295295295295296296295296296296296296297297297297296296296296296296295295295295295294294294294294294295295295294295296295295295295295294294294294294294294294293294294293294293293293293293292293293292293292293292293293293293293292293293292292292292292291291290290290290290290290290290290289289289289289289289289290289289289289289289289289289289289289289289289288288288288288288288 294295296297296297297297297296297297299299299300299299300299299301299299299298298297296299298296297295295296296295296295295295294294293292292291289999999999999999999999999999999999999999999999999999298298296296296297298298297297297297297296296295294294293293293294294295294294294294295294294294293293293294293293293294295295296296296296297296296296296296296297297298297297297297296296297297298299298299299300300301301302302302299299299299300300300300298298298298298300300299298299298298297297297297297298299299300299299299299299299300299299298298295294999999999294296296296296297296297298297296296297296297297296296297297297296295296297296296297298297298297297297298296296999999999999999999999297297999999298297296999999999999999999295296296297298298299297297298999999302302302999304304305305304304303304303303304303302303303303303304304303303302302303303302303302301301300301301301300301299300299300299299299300300299299300300301300300300300300301299299299300301301299298299299300299300300301300300300300300300301301300300300300299300300300300301301300300302301301302301301301301301300300301300300300299300300300302301301301302300300302302301301301302302302301301302301301301302302301302302301302303304303302303303303302303303303303303303303303304303303303304304304305305304304305304304305304304304306306304304304304304304305306306305305304304305306305305304304304304305305305305306306306306305305306306307307306307306305305304305304304304304303303303301302302303302303303303302302302303302302302302302302302301302302302302302302301301302302302302301300300301301301300300301301301301301301302302302302303302303302301302302301302302303304303303303303303303302303302302303302301302303302303303302303302302302303303302302302302302302303302302303303303303303303303302302301302302302302303303302302301301301302301301302301301301299299299299299299299300299300298299299299299298298299298298298297297297297297297297297297297298297297298298298299299299299298299299299298298298297297297297296296296296296297296296296296296296296295295295295295295295295295295295295296296297297296296296296296295296295295295296294294294294293294294295294295295295295295294294294294294294294294294294294293294294295293293293293293293293293293293293293293293293293293293292292292292292292292292292291291291291290290290290290290290289289289289290289290289290290291290290289290290289289290290289289290289289289289288288288288289289 296297297296296296296296297295296298298299299299298298299298299299299299299299298297297297297296297296295295296296295295295295294294293293292291999999999999999999999999999999999999999999999296999297297298296296297298298297298298298298297296296295295294294294293294295296295295293293294295294294293293293293293294293294294295295295295296296296296297296296297297297297297298297296297297296296298297297298299298298298299299300301301300299300299299300298298298298298298300300300298298299298297297297296297298298300300299298298299299299299299299298296295999999999999295296296296296296296297297297295296297298297296296296296296295296296296296296296297297297297297297296296296296295999999999999999999297298999297297298298296297296295295295296297297297298299299298298300999999999303302302305306306305305304305303303303303302303303303302303304303303303302303303302302301301300300301301301301301301300300299299299299298300299298299299299301301301300300301299299298299300299300299299299299301300299300300300300300300300300300300300299300297300300301300300301301301300301301302302301301301301301300300300299299300300300300300300302301301301300302301301301999303302302302301301302301302302301302302302302302302302303303303303303303303303304303302303303303303303304303304304305304305304304305304304304304304304304305304304304305304304304305305305305305305304305304304304304304304303303304304305306306306306307307307306305306306306305304305305305304304304304303303302302302302303303303303303302302301301301303301301302302301301301301301302302301301302302302302301302301301301301301300300301301301301301301302301302302303303302302302302303302301302302303303303303303303303302303303303302302301303303303302302302302302302302302301301301302302302302303302302303303303303303304303303303302303302302303303302302302302302302302301301301301301301300299299299299299299298299300299299299299299298298298298298298297297297297297297297298297298298298297298298298299299299298298299299298298298298297297297297296296296296296296296296296296296295296295295295295295295295295295295295295295296296296296296296296295295295295295295294294294293294293294294293294294295295295295295294294294295294294295293294295295294294293294293293294294293294293294294293294294294293294294293294293293293293293292292292292291291291291291290290290290290290291290290290290290290290290291290290290290290290290290291291290289289289289289289288288288289289 298298298296296296296295295296297297297299299299297298298300298298298298299298298299298298297298298297295297297296295296296295295295294294293291999999999999999999999999999999999999999999297297297298297297297297297298298298298298299298297296297296295294296295294294297298297295295297294295295294293293293293293292293293294295295295296296296296296296297297297297296297298298298298297297298298298296297299298298297298299300301301299299299299298299300299300299297298299298299299299298298298298298298297297297297298297299298298300300300299299299298297999999999999295296296296296295296296296296296296297297297296294295295295296296296295296294295295296296296297297297296296296295295295999999999999999999295999296297297298297297296296296297297297297297298300298301302301302302999999999305304305306305305304304304303304303303302303303302302303303303302302303302302302302301301300300301301301300300300299299299300300298300299298299298300301301300300300301300299298298298299299299298300299302300299299298299300298299300300300300300298299301300300301298301301301299299299300302302302302301300300300301301301301300301300300301301302302300302302301301301300301302302302302302301302301301301302301302302304302302303303303303304304303303303303303303303303303303303303303304305305304305304304304304304304304304305305305304304305304304304304305305305305305305305304304303303304304303304304304304305305305306306306306306306305305306306304305306305304304304304304303302302302303303302303303303302301301302302302302301301301302302302301301301302301301301302302302302302302302301300301301300301301300301301301302301302302302302302302301301301302301302302302302303303302303303304303303303303302302302302302303302301302301302302302302302302301302302302302302302302302302302303303302302303302302302302302302303302302302302302301300300300300300300300299299300299299299299299299300299299299299299298298298298298297297297297297296297297297297297297297297298298299299298298298298298298298298297296297297297297297296296296296296296296295295295295296296295295295295295295295295295295295296296296296295295295296295295295295295295294294293293293293293294294294294295295295296296295295294295295295295295294295295295294294294294294294294294294293293294294293294294293293293293293293293293292293292293292292292291291291291291291290290290290290290290290290290290290290292291291290291290290291291290291290290289289289289289288288288288288 296298297296296296296296295296296297297297298298298298298298298297297296297298298297298299298298298298296296297297295296295295295294293292292291999999999999999999999999999999999999999999297297298297296296296297297298298298298297298298297296295295295295296294295296295296296297296296294294295293293293294293293293293293294294295296295296296296296296297296296296296296297297298297298298298298298298297298298299297299299300300300300300299299298298299298299300299299299299299298299299297298298297297297297298297297297297298298297299297296296297297999999999999296295296296296297296296297297296296296296297297297294295295296296296296296294295296297297297297297296297297296295296296296294297999999999999999295296297298298298298298298298297298297297299300300299302303300301999999999999305305304304303305305306304304304304304303303302302303302302303303303302302301301300301300300300300300301299300300299299300299299299298299297299300300300301299299300301298298297297297298299300298298300301301300299299300301299299300300300300300300300299299300300300300300301299299300300300301302302300301301300301301301300300301300300301302302302300301302301301302302301301301301301301301302301301301302302302303303302302302303303304304304303303303303303303303303303303303303302303304304305305304304304305304304304304304305303304304304304304304305305304305304305304304304304304304304304303304304304304304305305305305305305305305305305305305304305305305305303303303304302302302302303302302303302302301301301301302302301301301301301301301301301301302301302302302301302302302302302302302301301301301301299300301302301301302302302303302302301301302302302302303303303303302302303303303304304303302302302302302302301301301300301303303302302301302301301301301302302302302302303302302303303302303303302303303302302303303302302302302301300301300300300300300299300300299299299299300300300299300300299299298298298298298297297298298297297296297297297297297298298298298299299298298299298298297298298297298297297297297297296297296296296297297297297295296296296296295295296296296296296296296296295295296295295296295296295295295295295295294294293293293293293293294295294295294295296296295295295295295295295295294295295295295294295294294294294294294293295294293294294294294294294294293293293293293292293293292292292291291291290291290290290290289290290290290290290290290291291290290290290291291291291291290290290289289289289289289288288288289 298298299297296297297297297297296297297297297298298298298298298298297296297298297296298298296297298298297298297298297296295295296295296292295290999999999999999999999999999999999295297297297297297296296297296297298298298298298297297297296296295295295296296294294294297296296296295295293294294294293293293293293293293293294294294295295296297297297297297296296297297297297298297297297298298298297297297297298298299300300300300299298300300300299299299299299299299299300298298298299298298298297297297296297298298297297297298298298296297296294296999999999999295296296296296296296297297297297296295296297297297296295296295295296296296296296296296296296297297297297297297296296297296296296297296999999999999295295295299299299300300300299299299298298299300300300300301301301999999999999999305999302303304303303303304305303304303303303303303303302303303303301300300298299300301301300297297300300300301299299300299299298299298298299299300300299298299300299298298299298298298297300299299301300299300299300302299299302301301300297298300300300300301302301299301300301300300300300302301301300301301300301302302301302301301301302303301299302302302301302302302301301302301300301300302302302302302303302302302302302303304303304304304303304304304303303303303303303303303303303303305305304304304305305304305304304304304304304304305304303304305305304305304304304305304304304304303303303304304304304304305305305305305305305305305304304304305305305304304304304303303302302303303303303303303302302302301302301302302303303302302301300301301301302302302302302302302302303302302302302302301301301301301300300301302302302302302302303302302302302301302302302303304303303302302303303303304304303302302302302302302302301302301302302303302301301301301301301301301302302302302302302303303303303303303302302303303303303302302302302302302301301301300300300300299300300300300300300300300300300300299299299298299299298298297297297297297297297297297297297297298298298298298299299298298298298298298298297298297298298298298298297296297297297297297298297297297296297297295296296296296297296296296295295296295295295295295295294295294294295294294294294293293293293294294294293294295295295295295295295294295294294294294294295295294295295295294294294294294294294294294294294294294294294294293293293293292293293293292292291292291291291291290290290289290290290290291291291290291291291291291291291291291291291291290290290289289289289289289289289290 298297298298296297297297298298297298298298298297297298298297297298297297297297297298297298298296296298298298297297298296296296297297296294293292999999999999999999999999299296296296296295295296296296295296297297298297297298298297297296295297296296295294295295295296295296296296296296295294294294294294293293294294294294293293294294295296296297296296297297298297298298298298297298297297298299298298298298298299298298300300299299300300300299300299299299298299299300299299298298298299298298297297297297296296296297297298298297297295294294999999999999294294294295295296296296296297297297295296297297297297296297297296295295295296295296295296296296297297297298299298297297297297297295295295295999999999294295295999999298299299300299299299299298299999299300301299302302302999999999999999999999302304304303304304303303303304304303303303303302302303301301301300300299300300300300299300298298299300301299300299299299299299299299299299298300300300299299299300299299299298297299299299299299299299300300301303302299302301302300301301301302300301301300301301300300300300300300300301301300301300300301301303302303301302301302303303301300300301301302302302303302302301302301302302302303303302302302302302303302303304304304304304304304305304304304303303303303303303304304304304304304304305304304305304304304304303304304304304304304304304304304305305304305304305304304304303303303304304303304304304305305305305305305305304305305304304305305305305305305305303304303303303302302302303303302301302301302302303303303303301301301301301301301302302302302303302302303303303302302303302302301301301301301301301302302302302302303304303303303302302302302302302303303302302303303303303303303303302302302302302302301301301302302302302302301301301301301301301301301301302303302302303302302303302303304303303304303302302302302301302302302301301300301301300300299299300300300300300300300300300300299299298299299298298297298298298298297297298297297298298298298298299299299299299298298298298298298298298298298298298298297297297297298297297298298297297297297297297296296297296296296296296296296296296296296296296295295295295294294294295294294294294294295294294294294294294294295295295295295295295296294294294294295295295295295295295294294294294295295295294294294294294293294294293293294293293293293292292292292292292291291291291291291291290290290290290291291291290291291291291291292292291291291292291291290290289290289289290289290290291 299298298301299297297299299299298298298298298298298298297297297298298297297297297298296297298297298300300297297297296294295293294295295293292291999999999999999999999295295296296296296295295295295295296296296296298297297297298297297296295295295295296295295296295295295296297296296296294293294294294294294294294294294293293293294294295295295296296296296296298296298298299298297298297298298299298299300298298299300299299299299299300301300300299299299299299299299299299299298298297298298299298298296296296296295296297297297297296295295999999999999295294295295294296295295296296297297298298297297297297297296297296295295294295295295296295296297297297297298298298298297297297297296296296295294294294293294295296296297298299300300299299299299299300299298299299299302301302999999999999999999999302302303303303303302303304304304303303303303302302301300300300300300299298300299300300298300298299300300299299298298299299299299299300300299299300300301300300301298297298298300299300300299300300300300300300301303303303304304304302303300303301301301300300301300300301302299300300300300300300300301302302302302303302302302301301301301301302303301301302302302302302302301302302303303303303303302302302302302303303304304303304305305305304304305303303303303303303304304304305304304304304305304305305304304304304304303303303304303304304304304304305305304304304304304304303303303304304304304304304304304305305305305305304304305305304304306306304304304305304304303303304303303303303303302302302302302301303303303302302302301301302301301300301302302302302302302303303302302303302302302301301300300302301301302302302303302303304304302303302302302302302302302302302303303303303303303303302302302302302302301301301301301301301302301301301301301301302301301301301302302301301303302302303303302303303304303302302302302302301301301302301301300300301300300300299299300300300300301300300300300299299299298299299298298297298297297298297298297297298298298298298299298299299299298298297298297297298298298298298298298299297297297298297298297298297297297296297297297296297296296296296296295296296296296296296296296296296295295295295295294295296295296295295295295295295296295295295295295295295295295295294294294295294295295295295295295295295295295295295295295294294294294294294293294293293293293293292292292292292292292292291291290291291291291291291291291291291291291291292291291291291291291291291291291290290289290290290289290290290291 301299298299299298300300299299299298298298298299298299298298298299299298298298298297296296296295297298299299297294295294294293290290293294292292999999999999999999296296296296296297297295294296295296296296297297297297297297297297297296296294295295295295296296293294296295296296295295295294294294295295295295294294294293294293294294294295295296296296296297296296297298298298297298298298299299299300300297298299299298299299299300299300300300299300300299299299299299300299299298298298298299299297296296295296295296299298297296296297999999999999296296295295295295295296295296297296297297297296296296297297296296296295294294295295295295295296296297297297298298298298297297297298297297296296295295295295295296297297299300299300300300300299299299299298999302300299999999999999999999999999999999999302303303303302302302303303302302302303303303302299300300300300299299298299299299300299298299298299300299299300298299300299299300299300300300300300299300300300299300302299299303299301300299299300299300300300302303301303303303302302302302302301301301301301300300301300300300300301300301301301301302302302303302302302302301301301302302301303302302303302302302302303303303303303303304303303303302303303303302304304303303304304305304304304304304304304304305304305305305305305303304304304305304304304305303303303303303303304304304304304304304305304304303304305304304304303304304304304304304304304304304305305305305304304305304304305305305304305305305304304303304304303303303303303302302302302302302302303302303302302301302301302301301301302302302302302303302303302302302302301301301300300300302302301302302302303303303304303303303303303302303302302302303302303303303304304303303302302302302302301301301301301301302302301301301301301301301301301301302301302302301302301302302302303303304304303302302302301301302301301301301301301300300301301300300300300300301300300301301300301300300299299298299298298298298298298297297297298298297298298298299299299298298298298298297298298297298297298298298298298298299298299298298298298298297297297297298298297296297296296297296296295295296295296297296296296296296296295294295296296295295296297296296296295294295295295295295295295295295295294295294294294295294294295295296295296296295295295295295294295295294293294294294294294294293293293292293293293292292292292292292291291291291291291291291291291291292291291291292292292291291292291291291291291291292291290290291290290290290291291 304301299298298298298299298299299298297298298297299298298298299298299298298298299297297296296299295296298296298297295297295294292290289290293294999999999999999297296297297296295296295296295294295296296297298298298298298298297297297297296295295295295295295295295295296295295295295295296295294294294295295294295294294294294294293294294294295295295296297297297297297297298297297298299298299300300299299298298299298298298298298299299299300300300300299299299299299299300300300299299299299298298298297296296296296296297298298297297999999999999296296296295296296296296296297297297297298297297296296296295296296295295295294294294294294295295295295296296297296298298298298297297297297297297296296296296295296296296297298299299301300300299300300300298299999999302298999999999999999999999999999999999301302303303303303303304303303303302303303303301300299299300300299298299299299299300299300298298300301300299300300301300299299300300301301301300300300301299300299300302302301300299299299299300300299299300301301301302301302300302303301302302302302300301301301301301301300300299300300301302301302302302303302303302303302302302302302302302303303303302303303302303303303304304304304303303303303303304303302302303303303304304304304303304304305305305304304304305304304305304304302304304303304304304304304303303303303303303304304304304304304304304304303303304304304304304304304304305304304304304304304304305305305305305304304303304305305305305306306304304304304304304303303303303302302302302302301301301302302302302302301302301301301301301302302302302303303303302302301301302302302301302302302302302303301302302302303303303303303303302303302302301302303302303303303303303303303302302302302302301301301301301301301302302301301301301301301301301302301301301301302302302302302302303303304304302303301302301302301301301301301301301300300301301301300301300300300300300301300301300300300299300299298298298299298298298298298298298298297298298298298298299298299298298298298298297297298298297298298298298298298298298299299299298298298298298298297298298297297296298297296296296296295295295296296297296297296296296295295295295295297296296297297295296295296296295295295296295295295295295294294295295295295295295295295295296296296296295295296295295294294294294294294293294293293293293293293293293293293293292292292292291291291291291291291291291292291292292292292292292292292292292292292292292292292291292291291291291291291291291292 303302302299299297298298297297298298298298299298299298299298298299299297297298298297297297296297296298296295293297295295295294293292291292293295297999999999999297297296296295294295295296296297296295296297298298299298298297297297297296296296296295295294295295295296296296295294294294295296295294294295293293294294294293293293293294294294294295295296296296296296297298299298299298298298299299299300299299298299299299299299299299299299299299300300300300300299300299300300300298298299299298298298297297297297296296296296297297999999999999295296298297296296297296296296296297297297297297297297296296297295295295295295295295294294294295294295295296296296297298297297297297297296297296296295297297296296296296296298298299301301301299299300300300298300999999999999999999999999999999999999999999301301302302302303304304304303304303303303303302301299299299299300299299299298298299299300299299298299300300300300299300299298300300301301301301300300301301301299300301299300300299299300300300300300300299301300300300301303301300301300299301302302302301301301301301301302300301300300301301302301301302302303303303302303302302301302302302301302302303303303302303304303304304304304304304303303304303304304303303304303303304305304303303303304304304304303303305305304304304304305304303303305304304303303303303303303303304303304304304304304304303304304304304304304304304304304305305305305305304304304304305305305304305304304304304304304304305304306305303304305304304303303303303303303301303303302302301301302301302301302302301301299301302303302302303303303303302302302302302301301301301301302303302303303302303302302302303303303302303302302302301301303302302302302303303303303303302302302302302301301301301301302302302302301302301301301300301301301302301301301302302302302301302302303303302301302301302301301301301301301301301301300301301300301301301301300301300300299300301300300300300300299299299298299299299298299298297298298298298298298298299298298299298298298297297297297297298298297298298298299299298299298298299299298298298298298298298297298297297297296296296296296295295295295296296296296296296296295296296296296296297295295296297296296296297296296296295296295295295295294295295295295295295295296295296295296297296295295296295295294294295294294293293293293293293293293293293293292292293292292292292292291291291291292292292292292292292292292292292292293293292292292292291291291291291292291291290291291291291291292 302302301299297298297297298297298298298299300299299298298298298299298298298298298297297298297295295296296296295298297298296296297295293293296294999999999298297297297296295294294294295295296296296296296298298298298299299297297297297297296296296296296295295295294294296295295295294294295295295294294295295294295294293293294294293294294294294294295295296295296296297298298300300300300299299299299298297299298300299299298299298299300299298298298298298299300300300300300300299299298299299299298298297297297297296295296296296999999298296296296297297297297296297297297296296297297298298297296296297296296295295294294293294296294295295295295295295295295296297297297298298297297297297297297296296296297297297297999299299300300301300300300300299299299301999999999999999999999999999999999999999301301301301302303303303303304304304303303302302302302299299299299300299298299299300298299300301301300300300300299300300300299299301300300302302302300300301301300299300300299301302300299299300299300300300300301301300301301301302301300300300302301301301302303301301301301301300301301300302302302302302302302302303303303303302302302302302302303303303303303303303304304304304304304304304303303303304304304304304303304304304305304303303303303303304303303304304304304305304304303304303303303304304304303303303303303304303304304305305304304304304304304304304304304304304304304304305305305305304304304304304304304305304304304304304303304304305304305305305303304304304304303302303303303304303302303302302302301302302302301301302302301301301302303302302302303304303302302302301302301301300301301301302301302303303303303303302302302302303302302302302302301302302302302302303302303303303302302302302302301301301301301301302302301301301301300300301301301301301301301302302302302302302301303302301301301301301301301301301301301300299300300300301301300300300300301300300300300299298300300300299300300299299299298298298298298297299298298298299298298299299299299298299298298297298298297297298298298298298298299299299298299298298298298298298298298298298298298297296297297296296296296296296296296296296296296296296296296296296296297297297297297296296296297296297296296297295296295295294295294295295295294295294295294295295295296296296296296296296295295295295294293293293293293293293293293292293292292292292292292292292291292292291292291292292292292292292292292292293293292292292292292292292292292291292292292291290290291291292291291292 303301302298299298298297297297298299300300301300300299299299299298298298298298298298297297298297295295296297298297296296295296296296293294295296297296296296296296296295294294294294295297296296296296296297298298297297297297297297297297296296296296295295295295294295295295295295295295296295295295294294295295294295295294295295294295294294294294295295295295295296297297298299298301300299299299298298298298299299299299298298298299299299298298298298298298299298299299300300301299298298299298298298298297297296295295295296999999999296297296297297297297296297297297298298298299298298298297297296295295295295295295295295294294295294294294296295294295295295296296297297298297297297297296296296296296296296295999999999999297298299299299299300999299301302999999999999999999999999999999999999999302302300300301301303303303303304304304302302302303301300300299300300300298299300300300300300300301300300300301301301301300301300300301300301302302301301300301300300299300300301300300299300299300300300301299300300302303301302302302300300301301301301302302303302301300301301301301302302302303302301302303303303303303303304303303302302302302303303304303303303303304304304304304305304304303302303304304304305304304304304304304304304304304304303304304303304304304304304304304304304304304303304305304304303303303303303304305305305305304304305304305305305305304305305304304304304305305304305305305304304304304304304304304304304304304304305304304305306305304304304303303303303303303304304303303303303302302302302302301301301302302301301302303303302302303303304304302302302302302301300301303302302301302302302302302302303302302302302302303304303302302302302302302302302302302303303302302302302301301301301301301301301302301301301302301300300301301300301301302302302302302302302302302302301301301301301301301300301301300300300300300300300300300300300300300300301300300300299299299298299299300299299299299299298299298297298298299298298298299298299299298298298298298298297297298298297298298298298298298299299298298298298298298298298298298298298298298297297297296297297296296296297296296296296296295296296296297297296296296297296296296296297296297297297296296296295295295295295295295295295295295295295295295295295295296296296296296296295296295295295295294294294293293293294294293293293293292292292292292292292291291291291291291292292292292292292292292292293293293293293292292292292292292291292292291292292291291291292292293291291 999297295296297298298298297297297299301302303302300299300300299300299298297297297297297296297296296297296297298296296296297297295295295294295295295296296296296296296296296295295295296296296296297296297296297297297297297297297297297297297296297296296295296296295296295295295294294294295296296295295295295294295295295295295295295295294295295294295295296296296296297299299299300300299297298297297297298298299300300298298297297298297298298298298298297298297297298299299300299298299298298298297298297297297296297297296295999296296296296295296297297297297297297297297298299298298298297296297296295295296295295295295296294295294294294295295294295296296296296296297298298298298297297297297296296296999999999999999999999999298298299300300999999999999999999999999999999999999999999999999999999999999999300301302302303302302303303303302302302303300300300299300300299299299299300299301300300300300300300301300301301301301300300300300302301301301300301300300300300300301300299299299300300299299300300301301300300301303302303302300300301301301301303302301301301301301301302302303303302303301302303303303303303303303303303303303303303303304304304304304303303304304305305304304304304304304303303304305305304304303303304304304304304304305305304304304304304304305305304304304304303303304304304304304303303304304304304304304304305304304305305305305305305305304305304304304304305305305305305305305304304304304304304304304304304304304305305305304304305304304303303302304304303304304303303303303303302303302302302302301302302302302302303303304302302303303303303302302302302301301302303303301300302302302303302303302303302302302303303304303302301302302302302302301302302302303302302301302301301301301301302301301301301301301301301300300300301301300301301302302302301302302302301302301301301301301301301300300300300301301300299299300300300300299300300300300300300300300299299298299298300299299300300299298298298298298298298299298298298298298298298298298298298298298298298298297297298298297297298298298299298298298298298298298297299299299299298299298297298297297296297297297296297296296297296296296296297296297296296296295297297297298297297297297297296296296296295295295295295295295295295295295295295295295296295296296296296296296295295295295295295295295294294294294294294294293293292292292292292292291291292291291291291291292292292291291292292293293293293293293292292292292292292293292292293292292292292291291291292291291292 999999299297300299297298298300299300300301302302301301301301300300301300299298296297297297296297296296296296297295295295296294294295295295296295295295295295296297295294295296296295295297296295296297297297297297297298298297297297297297297297296296296295296296296295297296295295295294296296297296296295295295296296295295295295295295294295294294295295296296296296296297299299298298298296297296296298298299299299299298299298298298297297297297298298298297297298299300299298298298298298298298297296297295297296297297297295297297296296296296296297296295296297298298297298298298297297297296297297296295295295295295295295295296296295295296294295295295296295296296296297297298297298297297296296296296999999999999999999999999297298299300300999999999999999999999999999999999999999999999999999999999999303300300301302302302302301303302301301301302300300301301300300300301299299299300300300300300299300300300300301300300300299300300300301301302300300301300300300300301300299299300301301300300299299300301301300301302302303302301301301301301301302304302301301302302302302303302303303303303302302303303303303304303303303303304303303303303303304305304303303303304305305305305304305305304304305305304305303305304303303303304304304304305305304304304304304304304305304304304305305304304303304304305304304304304304304303303303304304304305305305305305305305305305305305304305305305305305305305305305304304304304304304304305304304304305305304304305304304305304304303303303303303303304303303303303302303303302303303302302302302302302303303304303302302303304303303303302302301302302302301301301301302302302302302303302303302302302303303303303302302302302302302302302302302302302302302301301301300300301301301301301301300301300301301300301300300301301301301301301301302302302301301302301301301301301301300300299301300300301300300300299300299299300299299299300300298299299298298299299298299299299299299298298298298300298298299299298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298299299299299299299299299298298298297297297297297297297297296297297297297296296296297297297297297296296297297297297296297297297297296296296295296296295295295295294295295295295295295295295295295295296296296295296295296295295294295295295294294295294294294294293293293293292292292292292291292291291292291292292292291292291292293292293292292292292293292293293293293293293293292292292292292291291291291292292292 999999999296298299299299298301300300299300300299300300300302302300300300298296297297296296295295295294296296295294295295295295294295295295295297297295294294295296295294295296295296296296297297297296297296297296298297298296296297297297297297296296295296296296296296296295294296296295296296296296296295296296296296295294294294295294294294294295295296296296296297296297297298299297296296297297298298299298300299299299299298298298298298298298298298298297298297298298298299299299298296296297298298298296297298297297297296999296296296296296296296296297298298298298298297297297297296296296297296297296296296295296296296295296295294295296295295296296296296296296297297297298297298296297297298298299999999999999999999999999297298299300999999999999999999999999999999999999999999999999999999999999999301299300301302303302301301302303302302301299300301301301301300300299297299300300300300300300300301302302300300301301301300300300300300301301302301301301301301301300299299299300301301301300301300302301301300300301301302302301301301302301302302303302301301303304303303303302303302303303303303302303303303304304304303303303303303303303304305304305305303303305305306305305304305305305305305305305304304304305303303304304304304304304304303304304304303303304304304304304304305305304305304304304304304304304303303303303303304304304304305305306306306305305305305305305305304305305304305305305305304304304304304304304304305304305304305304304304304305304303303303303304303303303303303303303303303303303303303303302302302303302303304303303303302302303303302303303303301301302302301301301302302302302302303302303303302302302302303303303303302303302301302302302302302302302302301301301301301301301301301300300300301301300300300301301301300300301301301301301301301301302302301302301301300301301302301300300300301301300301300300299299300300299299299300299300300300299300299299299299297298299298298298298298298298298298299299299299298298298298298298298298298298298298298298298298298298298298298298298298298298298298299298299299298299299299299299298298297297296297297297297297297297297298298297297297297297297297297297297297298298298297297298298297297297297296296295295295295295295295295295295295295295295295296296296296296296296296295296295295295295294295295295295294294294294294293293294293293293293292292292292291292292292292292292292292292292292293293292293292292292292292293293293293293293292292292291291291291292292292293 999999999296297299299299300299300300300299300299300300300301300301300299298297297296296296295296295295294296296294295295295295295296296296296297296296295295295296296296296297295296297297296296295295296296297297297297297297297297297297297297296296295295295295296297295296293295295296296296296296295295295296295296295294295294295295293293295295295296297297296297297297298297297295296296297297297298299299299298299299299298298298298298298298298298298297298297297298298298298297298298297297298297297297298297297298297296296296297297297297297297297298298298298298297297297296296295296296297296296295295296296297296295295295295295294295296296296296297297297297297297297297297296295295295297297999999999999999999999999999298298999999999999999999999999999999999999999999999999999999999999999999999999299300301302303303303303304303303302301301300300300301300301299299299299300299300300301300300302301302301301301301301300300300300300300301301301301300302301301300300299300300300301301300300300301302303301300300300300301301301301302302302302302301301301303304303303303303303302302303303302303303303303304304303304303304304304304304304305305305305305304306306306305305305305305305305305304304304304304304304304304304304304304303303304304303304304304304304305304305304305306305305304304304304304304304303303303303304304304304305305306306306305306306305305305305305305305305305304304305305304304305304304304304304305305305305304304303304305304304303303304304304303304303303304304303303303303303303303302303302302302302303303303303303303303303303303303303303302302301300301301302302302302301302302302302302302302302302302303303302302302303301302302302302302302302301301301301301301301301301300301300300301301301301301302301300300301300301301301301301301302302302302302302302301301301301300300301301301301300300300299299299299299299299300300299299299300300300298298298299299298299298298298299299298299298299298298298298298298298297298298298298298298298298298298298299298299299299299298298299298298299299299299299299298299299300299299299298298297297298297297297297297297298298299297298298298298299297297297297297298298299297297297296298298297297296296295295295295296295295295295295295295296296296296295296296296296296296296296295295295295295295295295295295295294294294294293294294294293293293292293292291292292292292292292292292292292293292293293293292292292292292292292292292293292292291292291291291292292292293293 999999999298299299301300299300300300300299300299299300299300300300299299299298298297297296296295295294294294295295296294296296295296296296297298296296296296295296296296296297297297297297296295295296296297297296297296296297297297297298297297296296295295295295295295295295295295294295295295295296296297296296296296295295294295295295294294294295295295295295296296297297296297297298297296297297298298298298298298298298298298298297298298298298298298298298297297298297298298298297297297298298298297297298298298298298296296296296297297297297296296297297297297297297296296296295295295295295296297296295296295296296295295296296296295294296296296297297297297297297297296297298297296296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299300301302303302303303305305304301302301302302302302301299299300300298300300300302302301301301301302301301301301300300300301300300300300301301301300300301300300301301299300300300301301300302301303302302301300300301302302301301302301301301303301301302303304304304304304303303302303303303302303303303303304304304305305305305305305305305305305305306305307307306305305306306306305305304304304303304304303304304304304305305304304304304303304304304304304305305304304306305306305306305305305305304304305303304304304305304304304305306306306305305305306306306305305305305305305305304304305305304305305305304305305304304305305305304304303304305304306305304304304304304304304305304303303303303303303302302303302302302303303303303303303303303304303302302303302303302302302301301302302302302302302302302302302302302302302302302302302302303303302302302302301302302302301302301301301301301301301300301301301300301300300301301301301300301301301302302302302302302302302302302302302302301301302301301301301301301301301300300299299299299300299300299299298299299299299299299299300299299299299298298298299299299298298299299299299298298298298297298298298298299298298298298298299299298299299299299299299299299299298299300300299299299298300299299298298298298298297297297298298297297298298299299298299298298297298297297296297297297298298297296298298297297297297297296296296296296296295295295295295295295296295295296295295296296296295295295295296295295294295295295295295295295295294294294294294294294293293293293292292291292292292292292292292292292292292292292293293292293293292292293292292294292292292292291291291291292291292293293 999999999298300301300301301299300300300299299298300299299300300300300299299298298298298298298296295294294295295296296295296296296296297298297297297297296296296296296296297297297297297296297297297297297296296296296296297297297298298299298298297297296295294295294294294294294294294296296296297295296296296296295295295295294294294295295295295295295295295295296296297297297296297297297296297297297297297297297297297297297297298297297298298297297298297297297296297297297297298298297298297297297297297298298299298299999297296297296297296296296296296297297296296296296297297296297296295295295296295295295295295296296296296297296295296296296296297295296297296296297296296297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300301302302303303303304303303301301302301300301302301300299299300300299300300300300302301302302301301301301301301300300300300299300300300301300301301300300300300300300300300300300301300302301302302303301302300301302302303301301301301302301302302302303304304303303303304304303303303303303303303304304304304304304304305305305305305305305306305306306306307307306306306306306306306305304303304304304304304304304305305305305304304305305304305305305305305305304305305304304305305304305305305305305304304304305305305304304305304305305306306305305305305306305306305304305305305304304304304304304305304304305304304304305305305305304304303304304304304305304304304305304304304304304303303303303303302302303303302303302303303302303302303303303303303302302303303302303302302302301302301302302302302302302302302301301302302302302302302302302302302302301301301302302302302301301301301301301301300301301300300300301300300300301301301301301301301302302302302302302302302302302302302302302301302301301301301301301302301301301299299299300300299300299299299299299299299299300300300299300299298299298297298298299298298298298298298298297297298297298297297298298298298299298299299300299299299299299299299299299299299299299299299300300299299299299299299298298298297297298297298298297298298298299298297298297296297296297297297297297298297297298298297297297297297297297297296296296296296295295295295296295296296295295295296296296296296295295295295295295295295295295295295295295294295295295295294294294294293293293293292292292292292292292292292292292292292292293292292292293293293292292293292293292292293293292291292291292292292293293 999999999298300302300301300299299299300299299299300301300299300300300299299298298299298299297296295294295294294296296296296296296296296296298297297296296297297297297296297297297297297297297297296297297297296297297296296297296297296297299297297297297296297295295295294294295295294295296295295295294296295295296295295295294295295294295294295295294294294295295296297296297297296297296296297297296296297296296296297297297296296296297297297297297297297297298296296297297296296298297298297298297298298297297297297299297297297297297296297296296297297296296296296295296296296296296295295295295296295294294295295295295295296297296296295295295296296296296296297297297297296297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300301302302302303303303303302301303302302301301300300300300300300300300300300298300299299300301301301301301301301301300299300300300300300300301301301301301301300301300299300300300300301300301301302301301299300301302301302302302302302301302302302303304304304303304304303304304304304303304303304304304304304305304304305306304305306306306307306307306307307306306306307306306306306305304304305305305305304304304304305305305305305305305304305305304304305305304305305305304304305304305305305305304304305305305305305305305305306306305306306305305305305306306305305305305305305304304305305305304304304305305304304305305304305305304303303303304304303303305304304305304304304304304304304304303303303302303303302302302302303303302302303303303304303303303303303302302302302302302302302302302302302302302302301301301302302302302301301302302302302302301301301302301301302301301301300301301300300301301300301301300300301300301301300301301301302302302303303302303303303303302302302302302302302301301301301302301301301302300299300299299300299300300299299298299299299299299300299300299299299298298298299298298298298297297298298298298298297297297297298298298299298299299299299300300300300300300300300299299299299299299300300299300299299299299299298299298298298298298298298298298298298299298298298298297297297296297297297298298298297297298298297297298297297297297297297297296296296296296296296296295296296295296296295296296296295296295295295295295295295296296295295295295295295295295294295294294293294293293293293292292292291292292292292292293293293293293292292293293292292292293292292292292292293292291292291292292292292293293 999999999999300300301300300300300300300300299300299300300300300300300300299298298299298298297298297298297296296296296296296296297296296296297296296296296297297297297297296297297297297297296296296297296297296296295296297297296296296296297297297298296296297296296295295295294294294295295295295295295295296296295295296295295295295295294294295295295295295295296295295296296297297296296297297296296297297296296296297297296297297296296296297297297297297297295296296296296297297297297298298298298298298297297297297297297297297297296297297296296296297296295297296296296297296296296295295295296296294294295295295295295295297296296295295294295296296296296296296296297297295999999999999999303301999999999999999999299298298999999999999999999999999999999999999999999999999999999999999999999999999999999999999301301303304304303303303302302302302301301300299299300300300300300300298299299301301301300301302301301300301301302302301301300300300300299300301301301301301301301300300300300300300301300300300301301301300301301301301301301301302301301301302302303302305304304304304303303304304304304304304304304304304305305305305306307306306307307306306307307306307307306306306305305305305305305305305305305305305306305305305305305304305305306306305305305304305305305305305304305304305305305305305305305304305305305305304305305305305306306306305305305305306305306305305306305305305305303305304305305305304304304304304304305305304304305304303304304304304304304304304304305305305304304304304304303303303303303302303303302302302303303303303303303303303303304303303303302303303303302302302302302302302302302302302301301301301301302302302302302302302302302301301301302302301302301302301300301301301301301301301301301301300300301301301301301302302303303304304303302303303303303303303303303302303302302301301301302301301302302301300300300299299300299299298298299299299300300300299299299300299300298299299299299298298298298297298298298298298297298298297298298299299299299299299300300300300300300300300300301300300301300299300300300300300299299299299298299298297297298298299299299298298298299299298299298298297297297297298298298297297297297299299298298298297297297297297297297297297296296296296296296296296296296296296296297296296296295295295295295294296295295295295295295295296295295294294294294294293293293293293292292292292292292292292292292292292292292292292293293293292292292292292292292292292292292292291291291292292292293293 999999999999298298298300300300300300300300300299299299300300300301300299298299299299299298298298297298297298297297297296296297297296296296296296296296296296297297297296296298297297296296296296296296296296296296296296296296296295296296295297296296295296295296296295295295295295295294296295296295295295295296296296295295295295295295295294294295296296295295296296296295296296295296296295296296296297295295295295296296296296296296296296297297296296297296297297296295295296296297298298298298298298298297297297297297297297297296296296297297295296296296296296297297297297296296295295295295295296296295296296295295295295296295296295294295296296297296296296297296297296295999999999999300300299999999299299999999298298297297298298999999999999999999999999999999999999999999999999999999999999999999999999999300302303303302303302302301301301300300299298300299300300299299299299300300300300300300300300301301301301302302302302299300298300300300300300301301301301301300299300299299299300300301300300299299301301300299301301300301301301302302302302303303304305305304304304304304304304304304304304304304304304304305306305306307307307308309308309307306306306306306306306306306306306305307306305305304305305305306306305305305305306305306306306305305305305305306306305305304305305304305305304304304305305305305305305305305305305305305306306305305305306305305305305305306306305305305305305305305305305304305304304305305305305305305304304304304304305304304305304305306305305305304304304304304303303303303303303303302302302303303303302303303304303304304303303304303302303303303302302302302302302302302302302302302301302301301302301301302302301302302301302302301302302302301302301300300301300301301301301301301301300301301301301302302301301302303303303304303302303303304304303302302303302302302302301301302302301302302300301300300300300299300300299299299299298299300300300299299300300299300299300300298298298297297297298298298298297297297298298298298298299299299299299299299300300300300300300300300300300300300300300300300300300299299299299299298298298297297297298299298297298297299298298298297297297297296297297297297297298297297298298299298298298298298297298297297297297297297297296296296296296296296295295295296295295296296296296296295295295295294295295295294295295294294294294294294294294294294294292292293292292292291292292292292292292292292292292293293294294292292292293292292292292293292292292291291292292292293293293 999999999999300299299298299299300300300299299300300299299299300300300299299300299299299299298298297297297298298298298297296297296296295296296297296296296295296297296297297297297296296295296296296296295295295296297296296296297296296296296298296296296296295296295295295295294295296296296294295295296295295295297296296296296295295295296296294295295296296296296296295295295294296294296296295296296296295294294296296296296295296296297297296296296296296296296296296295296296297297296297298297297298298298298297298299297298297296295296296296296297296296296296296297296296297296295295295294295295295295296296295296296295295295295294295296297296297297297297296297297297294999999999301300299299999999296999999999298297298298299298300999999999999999999999999999999999999999999999999999999999999999999999999999302303303302303301301301301300300300299299299299299299299300299300300300300300300300299299300301302301302302300300300299299299300300300300300300300300300299299299299298298301302300300300299299300301301302301300301301301302302302302302302305303304303304304304303303303304304304304304304304304304304305305306306307308307307309308308307307307307307307307306306306306306306306305305305304304305305305305305305305306306305306306305305306305306305305306305306305304304304304305305304305305305306305305305305305305305305305305305305305306305305305305305305305305304306306306305305306305305304304304305304305305305305305305305304304304305304304304305305305305305305304304304304303303303303303302302302302302303303303303303303303304304304304303303303303304303303303303302302302302301302302302302301302301301302302301301301301301301301301301302302302302302302301301301300300300300300301300301301300301301301301301301301303302302302303304304303303303303303304303303302302302302301301301302301301300302302302301301300299300300300300300299299300299299299300299299299299300300300300301301299298298297297297298298297298298297297298298298298299299299299299299299299299300300300300300300300300300301301301302301301300300300299300299298298297297297297297296297298297297298297298297298297297297297296296296297297297297297297298297297297297297298297297298297297297297297297296297297296296296295296296295295296296296296296296296296295295295295295294294295294294294294294294294294293294294294293293293293293292292292292292292292292292293291292292293293293293294294294293293293292293292293293292292292291291292292292293293293 999999999999999299299297298299300300299299299300300299299299299299300299300300300300299299299299297298298298298299298299297298297297297297297296297297296296296297298297297297297296296296296296296297296295296296296296296296296296296295296297297296295295296296296295295295295295295295295296295296297296295295296295296296296295295296295296296295295295295296296297294295296296295295295295296295295295294294295295296296296295296297297297296296296296296296296296296296295295296296297297298298299298298298298298298298298297297296295296296297297297296295295295295295296296296295296295295297296296295295294295296296295296296295295296296297297297298298297296296296297296293999999302300300299299302297297297296999297299300300300299300999999999999999999999999999999999999999999999999999999999999999999999999999301302302301302301301301299299300300300300298298299300300301299299299299301300300300300300300300301301301300298298298298298298299300299299300300299300300299299299299300298300300300301299300301302301301301301301300301301301302302302303303999303303303303303303303304304304304304303304304304304304304305306307306307307308308309308308308308308308307307307307307307307306306306306305304304305305305305305306305305306305305305305305305305305305306305305305305305304304304304305304305305305305305305305305305305305305305305305304305305306305305305305305305305305305305306307306305305305304304304305305305305305305305305305305305304304304304304303303304304305304304304304304304304303303303303303303302303303303303303303304304304304304304304303303303303303302302303302302302302302302302302301302302302302302302302301302302302300301300301300301301302301301301301300300300300301300300300301301301301300301301300301302302303303302302303304303303303303303303303303303303303302302300300301302301301300300301301301300301299300300301300299299299300299299300300300300300300300300299300300299299299299299298298298298298298298297297298298298299299299299299300300300299300300300299299299300300301301301302301302301301300301300299299299298297297297297297297297297297297297298297297298298297297296296296297296296297297296296297298298296297297297297297297298297298297297297298297297297297296297297296296296296295296296295297295295296295295295295295294294294294295294293294294294294293293293294294293293294293293293293292292292292292291292292292292293293294293294293294294293293293294293293293293292292292292292292293293293293 999999999999999300299300301300300299299298299299299299299299299299299300301301300300299298298299299298298298299298298299298298297297298297297297296296297298297297298297297297297297297296297296297296296296296296296296296296297296296296296296297297296296296296296296295296296296296296295296296296296296296296295295296295295295296295295296296295295294295296296296296296295295295295295297297296295294294294294295296296296297297297297297296296296296296296296296295296296296296296297297298299299299298298298298297297297298297297296297297298298297297296295295295295296296296296295294295296296296295294295296296295295294295295294296297297297297297297296296295296296295999999999999299298299298999296296297298297298298300301299298299301999999999999999999999999999999999999999999999999999999999999999999999999301301301301301301301300299300299300300299298299300300301301301301301301301300300300300300300301300300300300298298298298298298298298299299298299299299299299299299298298299298299302301302300301303300300300300301301301302302302302302303304303303302303303303304303304305304303304303304304304305305305305306306307307307308308308308308308307308308308308307307307307307306306306306306305305305305304305305305306305305305305305305304304305305305306304305305305304304304305304305305306305305305305305305305305305305305306305305305305305305306305304305306305304305305306307306305305306305304305305306306305305305305305305305305305303304305304304304303304304304305305304304304304304303303302303303303303303303303303303304304304304304305304304303304303303303302302302302302302302302301302302302302302302302302303302301302301301300301301301301301301302301301301301300300299300300301301300301301301301301301301301302303303303303303303303304303303302302304303303304304303302301302301300301301302302301301302300300300300300300300300300299300299299299300299300300300300300300300300301300299299299299299298297298298298298297297298298298299299299299299300300300300300300300300299300300301301301301301302301302301302301300300299299299299297297297297297297297297297296296297297297297298297296297296296296297297297297297297298298298298298297297298298298298298297298298299298298297298297297297297296297296296296296296296296297296296296295295295295295295295294295294294294294294294294293293294294294293293293293293292293292292292292291292293293292292293294293293293293293293293293293293293293293293293292292293293293293293293 999999999999999301298298300300300299298298299299299300299299299299300300301301300300300299298299299299299299299298299298299300300300299299299298298297297298297297298298297297297298298297297297297296297296297297297297297297297296296297297297297296297296296297297296296296296297297297296296296296296297296296296297297297295295295295295297297296296295296297296296296296296294294295295296297295295293295294294295295295296296296296296297297296296296295296295296295295295296296296296297297297298299299298298297297298297999999298297297298299298298297297296296296296296296295294295295294295295295295294294295296295295294294294295296296296295295296296296294294294294293999999999299299298297296296296297297298297298298298300299300299302999999999999999999999999999999999999999999999300999999999999999999999999300300300301299302299299299300299300299299301298299300300300300300300300300300301301300301300300300299300298298297297297297297299298299299299299298298299298299298299300298299299299301301300301301300300300301302303302302302302302302303302302303303302303303303304304304304304304304304304305305306306305306306307307307308307307307307308308308308308308307307307307307307306306306305305305305306305306306306306305305305305305304305305305305305305304305305305305305305306305306305306305305305305305304304305305305305306305305306305305306306305305305306305305305305306306306306305305305305306305305305306305305305306306305305305305305305305304304304304305305305305304304304304304303303303303303303303302303303303304303304304304304305305304303303303303303303303302302302302301302302302302302302302302303303302302302302301300300300301300301301301301301301301300300300300300300300300301301301301301300301302302303303303303303304304303303303304303303303304304304303302302302303301300301301301301301301302301300300301301302300301299300300300300299300300300300301300300299300301300300300300300300299299298298298298297298298298298298299299298299300300300300300300300300300300300300301301302302301301301302302301300300300300299299298298298297297296296296296297296296296297297297297297296296297295296296297297297297297297297297298297297297298297297298298298297298298297297297298297297297297296297297296297296296297297296296295296295295294295295294295294294294295294294293294294294293293293293293293293292293293292292292292292292292293292293293292292292293293293293293294293293293293293293293292292293293293293294294293 999999999999302303296299301302301299299300299299300300299299299299299300301301300300299299299298298298299299299298299299299299301301300299298297298298298297298297298299298299299297297297297297297296296297297296297297298298297296297297298298298296297296296296297297297297297297296296297296297297297297296296297297297298296297296296297297297296295295295297297296296295297295295296295294294295296294295294295295296295295297296297296296295296296296295295296296296296296296297297297297297297297299299297299298298297296999299298297298299299299299299297297296296297297295295295295293295294294294294294294294295295295295294295294295296296296295296295295295295294292999999999300298298297298298299298298299299298298299298300300300297999999999999999999999999999999999999999999999999300298999999999999999999298300300301300301301300301301300300299299299298299299299300300300300300300300300301300300300299300300300299298298298298298297298299299299299299299299299299298299300300299299299300300300302301301301300300301302303303302302303303303304304303304304303303303303303304305303304304305304304305306306306307306306307308308308309307307307307308308308307307307308307307307307307306305306306305305306305305305306306306305305306305305304305305304305305305305305305305305305305305306306306306306305305305305305305304305306306306305306306306305306306306306306305305305305305305305305306306305305305306306305305305305306306306306306305305304305305304304305304304304305305305304304304304304304304303304303304303303303303303303303304304304304305305304303304304303303304303302302301302301302302302302302302302303303303302302302302301301300300301301301301301301301301301300301300300300301300300301301301301300300301301303303302303303304304303303303304304303303303303304303302302301302302299300301301301301300301301301301300301302301301301301300299300300300300301300300299299300300300300300300300299300300299298298298298298298298299299298299299300299299299300300300300300301300301301301301301301302302302302302302301300301300300299299300299299298298298297296297297298297297296297297297298297297297295296296296296297297297298298298298297297297297298298298298298298298297298298297297297297297298298297297297296296296297296296296296296296295295295295295294295294294294294293293293293293293293293293293294293293293293293293293293293293293292293292292293293293293293293293293293294293293293293293294293293293293293293293293293294 999999999999999999999300301300301300300300300300300300299299299299300300300301301300299299298298299298299299298298299300299299300299299300299298298298298298298298298298298299299298297297297297297297297297297297297297298297297298297298299298298297296296297297296297297295297298296296297297296296297297297298299298297297299299296296297296299296296296296297296295296295296295295296294294295294294294295293295294295294295294293296296295295295296296296295296296295295296296297296296297297297298299298298298298300300299299300299297297298299299300298297297297296296296295296297296295294294294295293294293294294294295294294294294295294295295294295295295295295294290999999999298297297298298298299300299299298299299300300300301297999999999999999999999999999999999999999999999999300999299300999999999999298298300300300300300300302301302300299299300299299300300300300300300300300300300300301301300300300300300300299299299299299298298298298299299300299299299299299300300300300299299299300300301300301300300301301302303303302303303303303303303303303304303303303303303303304305305305304305304304306306307307307307307307308308308308308307308309308307308307307307306306306306306306306306306306305306306306305305305306306305305307305305305305305305305305305305305305305306305305305306306307306306306305306305305305304305306306306306305306306305306305305305304305305305305306305305305306306305306306306305305305305305306306306306305305306305305305305305305305304304305304304304304303304304303303303303303303303303303302304303304304304304304305305305304304304303303303303303303302302303302302302302302302303303303303303303303302302301301301302302302301301301301301301301301301300300301301301301301301300300301301302303302302303303303303303303303303303304304303302302303302302302301300300301301300300300300301301301301301301301301301301301300300300299300300300300300300300301300301299299300300300300300300299299299299298299298299299299299299299300300300300300300300301301301301301302301301301302303303303302302302301302301299300300300300299299299299298298298297297297296296297297297298296296296295296297296297297297297298297298298298298298298298298298298298298298298298298298297297298298298298298297297297297297298296297296296296296296295295295295294294295293294294293293292293293292292292293294294293293293293293293292292293293293293293292293293293293293293293293294293293293293294294294293293293293293292293293293292293 999999999999999999999999296300300300302300299301300299299299299299300300300300299299299299298298298298298298298298298298298299299299299299299298298298297298299299298299300301301299298297298298297297298297297297298298298297296297298297299298298299297298297297298297297298298297296297297297297295297296297297297297297299299301296297296296297297297297296296296296297297296297295297296295295294294295295294294294296295295295295294294295295295294295296295294294294295295295297296296297297298298298297297298999297298298999298300298298299299299300297298297296296295295294294296295296295295295295294293293294294294294294294294294295296296295294294294294293293295293290999999295296297298299299299300299299299299299299300299299298999999999999999999999999999999999999999999999301300999298299999999999300299299299300301301301303301300300300300300300299300299299300300300300300300300300301300300300300300300299300299299300300299299298298298298298299299299299299299299300300300300300300301301301301301301301302302303303303303303303303303303303303304304304303303303304304304305305305305306305306307307307307307307308308308308308308308307307308307306308308307306306306306307307306307306306306305306306306306306306306306306306306305305305305305305305305306305305305305305306306306306307307306306306306306306306305305306306306306306306306306306305305305304305305305305305306305305305306307306306305305305305305305305305306306306306306306305306305305305305304305305304304304304303303304304304303303303304303303303302303303303304304304305304305305305305304303303303303303303303303303303303302303303303302303303303303303303303302302302302302302302301301302302302301300301301301301300301301301301301301301301301301302302303302302303303303303303303303303304304304302302303301302300301300301302301300300300301301302301302301302301301301301300300300300300300300300301301299300300301300299299300300300299299299299299299298299299299300300299299299299300300300300300300301301301301301302302302301302302303303302302302302302302301300299300300300299299299298298298297297297296296297296297296297296296296296296296297297297297297298298298298298298299298298298298298298297298298298298297298298298297297297298297297296297297298296296297296295296296295295295294294294294293293293293293293293293293292292293293293293293293293293293293293293293293293293293293293293293293293293293293293293294294294294294293293292293292292292292292292292 999999999999999999999999999999301303305999301302300299298299299299299299299300299299298298297297297297298297297297297297297298299299299299299298298297296297298298298299300300299299298298298298298297297297298298298298298297297298298298299298298298298299299298298298296297298297297297296297297297296296297297298297299300300298298299297298297296296296296297295296297297297297297295297296295294294294295295293295295294294294294294294295294293294295295296296295295295296295296297297297296299299298298297298999300301999999301297299299300300299299298298296296296294296295296294295295295295294295294294294294294294294294293294294295296296294293293293292289291294292291291292293296297298299299299299300300299298299300300300299298999999999999999999999999999999999999999999301300300300298299300999301301300300301300301302301300300300299300300300300300300300299300299299300300300300300300299299299299299299299300299300299299299299299299299299299300299299299299299299299300300300300300301301301301302302302302302302303303302304303303303303304304304303304303304304305305305305304306306306306307308308307308307307308308308308308308308308306307307307307307306306306306306306307307306306307306305307307306306305306306307306306306306306306305306305305305306305304305305305306307307307307306307306306306306306306306306306307307307306306306306306305304304304304305305305305306305305306306306306305305305306306306305305306305306306306306306306305305305305305304305304304304304304304304304304304303302303303303302303302302304304304304304304304305306305306305304304303303303302303302303303303302303302303302303303303303303303303302302302302302302302301302302302302301302302301301301300301300301301301301301302301302302302302302303302303302303303303303303303303303302999999302301300300300301301301300300300300301301301301302302301301300300300301300300301300300301299300300300300300300299300300300299299298298298299299299299299299299300300300300300300300301301300301301301301301301301302302302302302303303302303302301302301300300300300300299299299299299298298298298298297297297297297297297296296296296296296297297297298298298298298299300299299298297298298298298298298298298298298298299298298297297297297297297297297296296296296296296296295295295294294294294294293293293293293292292293293292293293293293293293293294293293293293293293293293293293293293293293293294293293294294293294294294294294294294293292292293292291291292292 999999999999999999999999999999999999999999999999300300300299298298299299299299299299298298296297297297297297296296297297297298299299299298298297297297297297298297298299299299299299299297298299298298297297297298298298299299298299299299298298297298298298298297297297297297295296296297297296295297297297297295297298298299299298298298297296297296297295296296296296296297296296296296297295296295294294294294295295294293293293293293294293294293294295294295295294295296296296296297297298298299300298298296999999302299999999301299302302302300300299296296296294295295295297295295296295294294294295294293293294294294293293294293294295296295293291290288289289291292290289292292294296297298298299298300299299299299301301302300299298999999999999999999999999999999999999999999300299302301301302302999301300300300300301300301301300300301301300300300300300299299299300299299300300300300299299299299299299299299299299299300300300299299299299299299299299300299299298298297299299299300300300301301302301302302302302302303302303302303303303304304303303303304304304304305305305304304305306306306307308307308307308308308308308308308307308308306306307307307306306306306306306306306307306307307307306306307306307306306305306306306305306306306307306306306306305306305305305305306306307307307307306306306306306306306306306306306307307307306306306306305305304304304304305304304305305305305305305306306305305306306306306305306306306306306306306306306306306305305304304305304304304304304304304304304303302301302303302302302303303303303304305304304305305305304305305305304303303303303303303303303303302303302303303303303304303303303303303303303302302302302302302302302302302303302301301300300300301301301301302301301302302302302301302303303303302302303303303303303303303302302301301301301300300300300300300300300300300301301301301301301301301301300300300300300301300300299300300300300299299299300301300300299299297299299299300300300299300300300301300300300301300301301301301301301301301301302302303303303302302302302302302302301301300300300300299299299299299298298298298298297298298297298298299297297296296296296297297297298298298298298298299298298298297297297298298298298298298298298298298298298297297297297297297296296296296296295296295294295295295295294294293294293293293293293293293292292292293293293293293293293293294293294294294293294294294293293294294293293294294294294294294294294294294294294293293293292292292291290290290 999999999999999999999999999999999999999999999999999302300300299299298298300300300300298298296297297296296297297296297297297298298299298297297297298297298298298298298298299299299299298297298298298297298298298298299299299299299299299298298298298298298298297296297298298298298297296297297296295297295295296296296299299300299298298298296296298296297297298297297296296296296296296296296296295294294293293294294294294293293293293294294292293292293294295294293295295296296297297297297298298299299297298299999999298999999999999299301301301301301298296295295294296294293294295294294294293294294294294294294294293294293294294294294294294293290289288290290289290291291999999999293295296297298298298297297299300300300301300300299297999999999999999999999999999999999999999999300300301301300302301999299300299300300302302301301300299300299299301301299299299299299299299300300300300300300299299300299299298298299299298299299299298299299298298298299299299298299299299298299299299299300301301301301301303302302303303303303303302302303303304304304304304305305305305305305305305305306306306307308308308309308308308308308308308308308308307306306306306306306306306306306306306306306306307307307306306307307307306306306306307307306306306306306306306307306306306306305306306306307307307306306306306306306306306306306307307306306306306307306306306305305304304304304304304305305305305305305305305305305305306306306305306306305306306306306306306305305306306305304304304304304303303304304304304304303303302302302302302302303303304305304304304304304305304304304305304304304303303304303303303303303303303303303303303303303303303303303303304303303303303302302302302302302302302302302302301301301301301301301301302302303303303302302302303302302302302302302302303303303302301301301301301300300300300299300300301301300300301300301302302301302301301300301301301300301301299300299300299299300299302301300300300300299298299299300299299300300300300300300300300300300300300301301301301301301301301302302303303303302302303301301301301300300300299299299298299299299299299298299299298300297297297298298298298296297297296297297297297297298298298298298298298297297297297297297297297297298297298297298298298297297297297297297297296296296297296295295295295295295295294294294294294294294293294294294294293292292292292293293293293293293293293293293294294294294294294293294294293293293294294293294294294294294294294294293292292291291290290290289289 300999999999999999999999999999999999999999999999999303301301300299299299299300300299298298297298298297297297297297298298298299298298298298298298297298298298298299299298298299298298297298298298299298298298298299298298298299299299299299298298299299298298297298298298298298298297297297297295295296296296295296296298298297297297298299298297296296297296297298297298297295296295297295295295295294293293293294294294293293293293294294293292293293293294295294294295295295297297297296297297297298298297297999999999999999999999999999999302302300300297297296296296295295294295295295294294294295295294293293293294293293294293293293293292291289288287291291291290291290289999999999295295297297298298298298298299299299300301301300298298297999999999999999999999999999999999999999999299300300301301300999298298300300301301301300300299299299300299300299299299298298298299300300300299299299298299299299299298298298299298298298298298299298298298298298299298298298298298298298299298299300300301301301301302302302302302302302302302302302303304304303304304304305305305305305305304305306306306306307308308308308309309308308308308308308308308307306306306306306306306306306306306306306307306307306307307306306307307306306306306308308307306306306306305306306306305306306306306307307307307306306306306306306306305306306306306306306306306305306306306305305304304304304304304304304305305304305305305305304305305307306306305305306306306306306306306306305305305305304304304304304304304304304304304304303303302302302302302303303303304304305305304304305304305305304304304304304303303303303303303303303303303303303303303303303303302302303303303303303303302302302302302302302303302302302302302302301301301301301301302302302302302302302302302302303302302303303302302302302302302301300300301300300300299299299300300301300300300301301301302302302301300300301301300300300301300299300299300299301300300300301301301300300300300299300301300300300300300300300300300300300299301300301300301301301300301302302302302302302302302303303303302301300299299299299299299299300299299299298300300300298297298298298298298298297297297297297298298298298298298298298298298298297297297297297297296297297297297297297297297297297298297297298297297296297296296295295295295295295295294294294294294294294294294294294294293293293293293293293293293293294294294294294294294294294294294294293294293293293293294294294294293293294294293293293292292291291290290289289288288 301999999999999999999999999999999999999999999999999999300298300300300301301301300300300299300298297297296296297298298298298299299299298298299299299299299298299298299298298298299298299298298299299298298298298298298299300299299299299299299298298299297298298298298299299299299298298297296296295295296296295296295297297298299298297298298299296296296296296297297297297296296296297297295294294294293293293294294294295294294294294294293293293293294294294294294293294295296297297296298298299299298295295999999999999999999999999999999999999302300299298296296296295295295295295295296294295296295294294294294294294292292293293292292290287286287289292292291292292291290999999295295296296297297298299298298299299300300300300299298297999999999999999999999999999999999999999999999999299299300300299999298298299300300301300300300299299299299299299299299299298298298298299299300299299299299299299299298298299298299298298298298298298298298298298298298298298298298297297298299299299300301301301301301302302302302301302302302302302303303303303304304304304305306305305305305306305306306306307307308308308308309308308308308308307308308308306305305307306307306306307307306306306306307306306306306306306306306307306306307306307307306308307307306306306306306306306306306306306306306306306306306306306306306305306306306306306306306306305305306306305305305304304304305305305304304305304305305305305305305306307306306305305306306306306306306306306306305305305304304304304304304304304304304304304304303302302302302303304303304303304305305305304304304304305305304304304304304303303303303303303303303303303303303303303303303302303303303303303303303303303303302302303302303302302302301302302302303301301301302302302302302302302302302303303303302302302303304302302301301301301300300300300299300300300300300300300300301300301301301302303302302301301301301301301301301301300300300300299300300301300300301300301300300300300300300300301301301301301301300300301299301301300301301300300300300300301302302301302302302302303302302302300300300300299300299300300299299299299299299299297298298299299298300298297297297297296298298298298298299299299298298299298298297297297297296296296297296297297297297297297297297297298297297296297295296295295295296296295295295295294294294295294294294294295294294294293293293293293293293293293294294294293294294294294294294294293293293293293293293293293293294293293293293293292292291291290290289289289287287287 301999999999999999999999999999999999999999999999999999999301301301302301301300300300298299299299298297296296296297298298298298298298298299299300299300299299299298298298299298299298299299298299299299298299299298299298300299300299300300299300299299299299299299299300300300298298298298298296295296296296295297297297298299298296295298297297297297297297296296296296296295296296295294295294294295293293294295294294294294294293294293294293294294294294294294295295295295296297298298299298298297297999999999999999999999999999999999999999999302300301299298298297297296295295295295295295296297296295294294295294293293293293292291289287286287289289289289291291291291290289293296297297297297297297298299299299300300300299300300298298296999999999999999999999999999999999999999999999298298299299300299298298299300300300300300300300300299299299299299299299299298298299299299299299298299298299298298299298299298298298298298298298297298297297297298298298298298298299298298299299300301301301301301301301302302302302302302302303303304303304304304305305305305305305304304305305306307307307307307307308308308308308308308308308308309307307306306306307307307307307307307307306306307307307306306305306307307307307307307307307307307307307307307307307306306307305305305305306306305306306306306306305306306306305306306307307307307307306305305305305305304305304305304304305304305304304304305305305305305305306306306306305305306306306306306306306306306305305305304304304304304304304303304304304304304303302303303303303302303304304304305305305306305305306304304305304303304304304304304304304304303303303303303303303303302302303302303303303303303303303304303303303302302302302302302302302302303303302302301302302302302303302302301302302303302302302302303303303302301301300300300300300300300300300299300300301300300300301301302302302302301302301301301301301301301300301300301301302301300300300300300301301301300301300300300301300301301301302301301300301301301300301301301301300300301300302301301302302302302302303303301302302301301300299299300299299300300299300299299299299299298299298299300300299297298298297297298299299298298298298299299299299299298299299298298297297296297296297297297297297297297297297297297297296296296296296296296295295295295295295294295295295295295295295295294294294294294294293293293293293293293293294293293294294294294294294293293293293293293293293293293293292292292292292291291291290289289288288287287286286 302301999999999999999999999999999999999999999999999999999999303302301300300300300301299299301299298297296295296296297297298298298298298299299300300299300299299299299299299299299299298298299300299298298299299299300299299299300299299300299299299300300300300300300300300300300299299298298298298297298296297296297297299296296296297297297296296296296297297296296296296295295295295295295294294295294294295294294294293294294293293293294294294294294294293295295295295295295296297297297296296297999999999999999999999999999999999999999999999304304301300298299297297296296296295297296295297296295295295295294293293292293292291288285285286286287287287289289290290288289296297296296296296297297297298298299299299299299299299300299299297296999999999999999999999999999999999999999999999297298299298298298298298299300300300300300299300299299299299299299299299298299299299299299299299299298298298297298298298297298298298298298298298298298298298298299298298299299299299299299299300301301301301301301301302302302302303303302303304304304305304305304305305305304305305305305306306307307307308308307308308308307309308308308307307307307307307306306307307307307307307307307306307307307307306306307307307308308307307307307307307307306307307306307306306306306305305305305306305305305306305306305305305305305305306306307307307307307306306306305305305304305305305305305305304305304304305305305304305305304305305305305305305306306306306305306306306306306305305304304304304304304304304304304303304303304304302303303303303303303305304306306306306306305305304305305304304304304304304304304303304304303303303303303303302302302302302303304303303303303304304303304304303303302302302302302303302303303302303301301302302302303301301301302303303303302302302302302303302302301300300299299300300300300300300300301301301301301301301302302302301301301302302301301301301301301302301301301301300300301301300300300300300300301301300300301301301302301301301301300300301302302302301301300300300301301301301302302302302302302302302300302301301301300299299300300301299299299299299299299298298299298299299298297297300298298297297298300299298298298299298299299299299298298299298298297297296296297297297297297296296296296296296296296296295295295295295295295294295295294295295295294295295295295295294295294294294294294294293293293293294293293293293293294294294294294293293293293293293293293293293292292292293292292291291290290290289288288287286286285285 302301301999999999999999999999999999999999999999999999999999999999999300301302301300300300300299298298296296296297297298298299298299299300300300300300300300300300300300300301300300299299299300300300298299299299300300300299299300300300300300299299300299300300300299300300301300299300299297297297297296296296299297297297296296298297297296296297297297297297296296295295295295295296295294295295294294294295294294294294293293293293295295294295294294295295294294294295295296296296296295296296999999999999999999999999999999999999999999305304304303303300299298298296298296297297296295295294294294294294294293292292291289288286287285284284284286287290287288289288291297297296296297296296297297297299299299299299300301300300299300298297296999999999999999999999999999999999999999999297298298298297297299299298300300301300299299297298299298299299298299299298297298299300300299299298298298297296297297297297297298298297297297297297297297297297298298298299299298298299300300300301301301301301301301302302302303302302302303304304304305304305304305305305305305305305306306306306306307308308307308309308308308308308307306307307307307306306306307307307307307307306307307305306306307307307307307307307307307307307306307307306306306307306307306306306306306305305305305305305306305305305306305305305305305305307307307307307306306306306305305305305306306305305305305305305305305305304305305305305305305305306305305305306306306306306306306306306305305304304304304304304303304304304304304303303304304303302302303303303303304305305305306305305306306305304304304303304304304304304304304303303303302303303303302302302301302303303304305304304303304303303303303302302303303302302302302302302303302301301301301302301302302302301302303303303303303302302303303302302301300299300300300300300301301301301301301301301302302302302302302301301301301301302301302301301301301300301301301301301301300301300301301300301301300300301301302302301301301301300300300301301302301301300300300300300300301301302302302301301302302301301301301301301300299299299300300300299299298299299298299298298299299299298298298298298297296297297299297298298298298298298297297298298298298299297297297297297297297297295296295296296296296296296296296296295295295294294295294296295295295294294294295295294294295294295295295294294294293293293293293293293293293293293293294294294294293293293293293293293292293292292292292292292291291289289289289288287287286286285285284 302302301999999999999999999999999999999999999999999999999999999999999999301302301300300299300299297297296297297298298299299299299299299300300299300299300300300300300300300301301300300300300301299300301301300301301301301301299299300300301301300300301301301301301300300300300300300299299298297299298298297297299297299298297299300298297296296296295296296296297297296296296296295296295295295296295295293294293294294294294294293294295295294295295296297296296295294295295297297297297296296999999999999999999999999999999999999999999999305304304304302301300300299297297297296297296296295294293292292293293292291290286286286286287285283283999285286287285286287292291296296296297297298297298298298298299299299299300300301300299300299299297295297999999999999999999297298999999999999295298298298298298299299299300300300301298298298298297298298297298298298298297299299299298299298297297297297297297296296296297297297297297297297296297297297297298298298299299299299299300300300300301301302302302302302303302302302302302303303304304304305305305305305305305305306306307306307307307307308308308309308308308308308307307307306306306306306306306307307307307306307306306305305306306307307307307306307307308308307307306306306306307307306306306306305305305305305305305305306306305305305305305305305304305304305305306306306307307306306306306305305305306306306306305305305305305305305305305305305305305304305305305304305305306306306306306306306306305305304304304304303303303303304304304304303303303303303302302303303303303303304304304304304305304305305304304303303303304304304304304303303303303303303302303302302302302303303303304304304304303303303303303303303303304303302302302302302302302302301301301301301301302302301302302302303303304303303303302301301301300300300300300300300300300300300301300301301301301302302301301301301301301301302301301301301301301301301301301301301301301301301300300301301301301301301301301301302301299300300300301301301301302301301300300300300300300301301301301302302301301301301301301301300299300299299300299299299299299299299298298298298298299299299299299298298298298297297297297297296296297297297297297297298298298298298298297297297297297297297296296296296296297296296296296296295295295293295295295295295296296295295295295296295294294294294295295295295294294294293293293294293293293293293294294294294293293293294293293293293293293293292292292292292291290290290289288288288287286286285284284284 302302301301999999999999999999999999999999999999999999999999999999999999302301300299299299300300298297298297298298298299299300300300300300300300300301300300301301300301301301302302301300300300301300300300301301301301302301300301302302301302302301301301301301301301301300300300300299300300299299299298296297296299299298302301301299298298296296295296296297296296296295296295295295296294294294295295295295294295294295294294295294294295294294295296296297296296297297296297296296297296296999999999999999999999999999999999999999999999999303304999303302302300298296297297296297297296296294293292291290289288288285285286288288288286283999999999999999288289294295295296296296296297298298298297297298298299298300300299299299299299299299299298297296295999999999999295295999999999999297299299299299299300300300300300300299298298299298298298298297297298299298298299298298297297297297297298298297297296297297297297297297297297297297297296297298298299298299299299300300300300300301301301302302302302303302302302303303303303303305305305305305305305305305305306306306307306307307307308308309309309308308308308307307307306306306306306306306306306306306307306306306306306305304306306306307306307307307308307307306306306306306306306306306306305305305305305305304305305306306305305305305305304304304304304304305305305306306306306306306306306305305306306306306306306305305305305305305305305304305304304305305305305305305306306306306307306306306305304304304304303303304304304304304304303303304303303303302303303303303303303303304304304304304304305304303304304304304304304304304304304303303304303303303302302302302303302302302303303303303303303303303303303303302303303302302302302302302301302301302302302301301302302302302302302303302303303302302302301301301301300300300300300300301301301300300301301302302302302302301301301301300300300301302302301301301302302302302302302302301301301300301301301301300300301300302301301300301301301301301300301301301302301301300300300300301300301302302301301301301300300301301301301300299299299299299300299299299299299298299298299298299299299298299299298298297297297296298297296296296296296297297297297297297297297297297297297296296297297296296296296296296296296296296296295295295295294294295295295295295295295295295295295295295295294295295295294294295294294293293293293293293293293293293293293293293293293293293293293293293293293293292292291291290290289289288288287286286285284284284284283 303302301301999999999999999999999999999999999999999999999999999999999999999302301300299299299300298298298297299298298299299300301300300300300300301301301301301301301301301302301300300300300301301300301300300301301301301301302302303303302302302302302302302302302301301301301300301300300301299299298298296297297297298299298299299299298298297297296296296296296296295295295295295295295295295295295294294294294294294293294294294294294294295293294296296297296298299299297296297297297296999999999999999999999999999999999999999999999999999999999999999304301300299296297296297298298297296294293291293290289289289290288287288288289287283282282286289290291292295295295295296297297297298299298298298299299298299300300299299299300299298300301300299298295295294293293293999999999999297298299299300299300300300301301301300300299298299298298298299298297298298298298298298297298297298298298298298297296297296296297297297297297298297297298298298298299300299299300300300300300301301301301301302301301302303302302303303303303303304305305305305305305305305305305306306307307307307308307308308309309308308308308307307307307306306305306306306306306306306306307306307306306306306306306306307307307307307307308308308307306306306306307307307306306306305305305305305305305304305305306304305305304304303303303304304304305305305305305307306306306307306306306306306306306306306305306306306305305305305304305305306305305305305305306306306306306307306306306305304304304304304304304304304304304304304304303303303303303304304303303304304304304305304304304305304304304304304304304304304304304304304303304304303303303302303302302302302302302302303303303302303303303303303302303303302302302302302302301301302302302302302302302302302302302303303302303302302301301301301301301301301301301301301301300301300300301303303303302303303302301301301301301301301301301301301301302302302301302302302302302300301300301300302300301302301301300300301301300301301300301300300301301301301301300300300301301301301301301301301300301300301300300299299299299299299299299299299299299299299299298298298299299299299298298298297297297297296297296296296296297297297297298298299297298297298296296297296296297297297296296296296296296296296295295295295295294294294294294294295295295295294295295295295295295295295295294295294294294294293293293293293293293293293293293293293293293293293293293293293293293293292292291291291290289289288288287286286285285284284283284283 303302302302999999999999999999999999999999999999999999999999999999999999999999302300300300300300298298297298298298299299300301301301300301301300301301301301301301301301302302300301301300300301301301301300301301301302302301302303303303302302303303303303302302302301301302301301300301300300300300298300297298299298299299299299300299298298297297297296296295296294293295295294294294295295294294295294295296296295295295294295293294294294294294295296297297297298298297296296297301299999999999999999999999999999999999999999999999999999999999999303305302999999299297297298297298297296296294293293294293291290291291289288289290290289285282285289291292294294294295295295296296297297297298298298298298298298300300300300300299299298298298300300299298297296295294294295999999999298298297298298300300301300301301300301300299299298299298298298299298297298298298297297298298297297298298298298298297297298297297298297297297298297297297298298298298299299299300300300300301301301301301300302302301301302303302303303303303304304304304305306305305305305305305305306306306307307307307307308308309308308308307307307307307306307307307307307306306306306306306307307307306306306306306306307307307307307307307307307307306306306306306306307307306306305305305305305305305305305304304305304304304304304302303303303303304304305305306305305306306306306306306306306306306307306306306306306306305305304304304304305306305305305305305306306306306306306306306305305305305305304304304304304304304304304303303303303303303303303303303304304304304304304304304304304304304304304303304304304304304304304303304304304303302302302303302302302301302302302302302302303303302303303302303302302302302302302302301302302302302302302302302302302302301302302302302301302302301302302301302302301301301301302301301301301301301301302301301302302301302301301301300300301300300302301301302302302302302301302302301301301301301301301303302301301302302301301301301301301302301301301300300301301301301301301301301301301301301300300300300301301301300300300300300299299299298299299299299299299298299298298299299298299298298298297297297298296297296295295296296296297297297297297298298298298297297297297297296296296296296295296296296296296296296296295295294294294294293294294294295294294294294295295295295296296295295295295295295295294293293293293293293293293293293293293293293293293293293293292293292293292292292292291290290289289288287286286285285284284284284283283 305304301302999999999999999999999999999999999999999999999999999999999999999999999301300299299299297297297297297297299299299300300300300301300301301301301301301300300300301300300300301300300301301301301300301301301301301301302303303303303304303304304304303303303302301302301302302300300300301301300298299300299300300299299297297297297298298298297297296295294296295295295295294294295295294294295294294296295296295295295295295296296295294296295297298297298298297296296294297299299999999999999999999999999999999999999999999999999999999999999999999999999999999999298300299298297296296295293294293293291291292291291290290290290287284286291291291293294294295295296296295296297297297297298298298298299300300299298300299299298298299298299300298297297297296296296296297999299298299298299299299300301300300301301300300299299299299298298298298298297297297297297298298297297298298297298297297297297298297298298297298298298298298298298297298298298299299300300300301301301301301301300301301301302302302303303303303303304304305305306305306305305306305306306306306306307307307307307308308308308308307307307307307307307307307307307306305306305305306306307307306306306306306305306306307307307307307306306307307307307306306306307307307307306305305305305305305305305305305305305304304304303304303303303303303304304305306306306306306306307306307307306306306306306307306306305305305305305304304304304304305305304304305305305306306306305306306306305305305305305304305305304304304304304304304303303303304303303304304304303304303304304304304304304304304304304304303304304304304304304304303304303303303303302303302302302302302302302302302302303302302302303303302303303302302302302302301301302302302303303302303303303303302302302302303302302302302302302302302302302301301301302302301302302301300300301302302302303302301301301301301300300300301301300302301302302302302302302302301301301301302301301302303302301301301301301301301301301300301301301301301301301301301301301301300300301301301300300299299299298299300300300300299299300300301299299299298299299300299299299300298299299298298298298297297297297297295295296295295296296297298298297297298298298297297296296296296296296296296296296296296296296296296296296295295294294294294294293294295295295294295295294295295295295296295294295295294294294293293293293293293293293293293293293293293293293293293293293292292292293292292291291290290289288288288287286285284284283284284283283283 304303302301999999999999999999999999999999999999999999999999999999999999999999999999999300299299298297297297297297298299300300300300300301300300301301300300300300300300301300301301301301301301301301301301301301301301301302302303303304304303304303304304304303304304303303302303301301301302300300300300299298300298300299299298296297297298298298298296296296295296296296296296295294295294295296295295295294295295295295296296296296296296296297297298298297297298298297296296295299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302300299297295295294293293293293291292291291290289288287287286293289291293291293293293294296296296296297297298298298298298298298300300299299298298299298296299300298300300298297298298298298298298298296297298299299300300300301301301300300300300299299299299298297298298297298297296297297298298298297297298297297297298297297297298298297298298299299299299299298298298298298299299299300300300301301301301301300300301301301302302302302303303304304304305305305306306306305305306306306306306306306306307307307308307308308307308307307307307307306307307307307307306305305305306306306306306306306306306305306306306306307306307306306307307307307307306306307307307307307306306305305305305305305304304305304305305304304304303303303303303304304304305305305305305306306306307306306306306306306306306306305305305305305305305304304303304304305305304304305305305306305305305306306305306305305304304304304304304305305304304304304303304304304303304303303304304304304304304304305304305305305304304304303304304304305304304304303304303303303303302302302302302302302302302302302302303303303303303303303303302302302302301301301302302303304303303303303302302303302302302303302302302302302302302302302302301301302301301301301302301301302302302302301301300301301301301301301300301301301301301302301302302302302302302301301301302301301301301302301301301301300300300301301301300301301301301302301300301301300300300300300300300300299298298298298299299299298300300300300300300300299299298299299299299298298299299298298298298298297297298297296296296295295295295295295295297297298298297297296296298297296296296295296296295296295296295295295295295295296295295295294294294294293294294294295294294294294295295295295294295295295295295294294294294293293293293293293293293293293293293293293293293294293293293293293292292291291290290290290289287287287286285284284283283283283283283 304304999300999999999999999999999999999999999999999999999999999999999999999999999999999999299300299297297297297296297298299299300299300299300301301300300300300300301301301301301301301301301301302301301301301301301301303303303303303304305305305304304305305305305305304305302304304302301302301302300301300299299301299299300299298299297297297297297298297297296297296296296296296296297297295296296296295295296296295295296298297297297296296297298299297297298298298297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300297294292293293292292293292292292290290288286284284289292292292291292293293294295296296297296297297297297298298297297298300299298298298299299298298298299298298298297297298298298299299298298297297298299300300300301301301301300300300300300299298298297298298297298297296296297298297297297297297296297298297297297298299298297298298298298298299299298298298299298299299299299300300301301300300300301300300301302302302302302302303303304304304305305305305305305305305305305305306305306306306306306307307307307307307306307307306306306306307307307306306306306306305305306306306306306306306305305305305305306306306306306306306306307306306306306307307307306306306305305305306306305305305304304305304304304304303303303303303303304304304304304305305304305305305305306305306305306306306306305305305304304305305305304304304304304305304304304304304305305305305305305305305305305304304304304304305304304304305304304304304304304304304303303303304304304304304304304305304305304305304304304304304305304305304304304304303303303303302303302302303303303302302302302302302303302302303303303303302302302302302301302302302303303303303302304303302302303303302302302302302302302302302302302302302302302302302302302301302302302302302302301301300300301301301301300300300301301301301301301301302301302302301302301302301301301301301301301301301300301300300300300301300301301302301301301301301301299300300299300301300300299299298298298298298299299299299300300300300299299299299299299299299299299299298299298298298298297297297297297296296295296295295295295295296297297297297297297296296297296296296296295295295296295295295293295295295295296295295295295294293294294293294294294294294294294294294294294295295295294294294295294294294293293293293293293293293293293293293293293293293293293293293293292292292291291290290290290289289287287286286285284284283283283283283284 303303999299999999999999999999999999999999999999999999999999999999999999999999999999999999999300299297297297298297297299299300299300300300300300300300301301300301300301301300300300300301301301301301301301301300301302302302303304303305305306306306307305305307306305305305306304303302303304304303303301300302302301301298299299299299299298298298297298298297298297297297297297297296297297296296296297297296297296296296296298297297297296299298299299299300299297298300999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291292293292293294293292292290289287287285286290291293294293293293294295296297296296297296296296297298298298298300299300299299299300299298298299299298297297297297297298299299299298298298299299300300301301300300300301300300299300300299297297297298298297297297297297297296296297297297298298298297297297298298298298298298298299298299299299299300300300300299299299300300301301301300300300300301301302302301302302302302303303304304304305305305305305305305304305305305305305306305306306307307307307307306306306306307307306306306306306307306306306306306305306306306306305306306306305305305305305306306306306306306307307306306305305306307307307307306306306305306306306305305305305305304304304304303303302303304304303304304303304304304304304305305304304305305305305306306306305305304304305304305305305304304305305304305304304304305305305305305305305305305305305305304304305304305304304304304304304304304304304304304304304304303304304304304304304304304305305305305304304304304304305304304304305304304304303304303303303303302302303302303303303303302303302302302303303302302303302302302302301302302301303302302303302304304303303302302302302302302302302302302302302302301302302302302302302301302302302302302302301301300300300300300301301300300300300301301301301301301301301302302302301302301301301301300300301301301300301300299300300300300300301302301302301301301301301300300300300300300299299299299298298297299298300299300300300300300300299299299299299300299299299298299299298298298299298297297297296296296296296295295295295295295295297297297297297297297297297296296295295295295296296297295295295295295295295295295295295294293293293293293293294294294294294294294295295294295295294295294294294294294294293293293293293293293292292293293293293293293293293293293293293292292291291291290290290290289288287286286286284284284283282283283283284 303302302301999999999999999999999999999999999999999999999999999999999999999999999999999999999999298297296296296297297298298299300300300301300300299300300300300301301301301300300300301301301301301301301301301302302302302303303304304306306306307307308307307307306305305306302302303302302302304304304300302304300301300301299300299298299299298299299299299298297297297297297297297297297297297296297297296296296296297297297298298297297297299299300300300300299301300301999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291292293293292293293292292999291289288286288289291293294293293293293296296296297297297297297297298297298297298298299300300300300299299298298298298298297298296297298299299299299299299299300300300301301301301300300301300300300300300299297297297297298298297296296296296295295296296297298298298297297297298298298298299298298299299299299299299300300300300300300300300301301301301300301301301300301301302301302302302303303303304304304304305305305305305305304305305306306305306306306307307306306306306306306306306306306306306306306306305306305305305306305305305305306306306306306305305306305305306306306306306306306306305305305305306306306306306307306306306306306306306306305305305304304304304304303303303304303303303303303304303304303304304304304304304304305305305305305305305305304304304305305305304304305305305305305305305305305305305305305305305305305305305304304305305305304304304304304304304304304304304304304304304304304304304305304304305305305305305305304305305305304305305305305305304304304303304303303303303303303302303303302302302302302303303303303303302303302302302302301302302302302302302303304303303303304303302302302302302302302303302302302303303303303303302302303302302303303302302301301302300300300300300300300301300300300301301301301301301302301302302302302302302302301301302301301301301301301302300300300300301301301302302302302302302302302301300300300300300300299299299299298298298298298298299300299299301301300299299299299298299299298298298298298298298299298298297296296295295295296295294294295294294294295297297297296296297297297297296296295295295295295295295295295295295295295295295295295294293294293293293292292293294294294293293294294294295294294294294294294294294294294293293293293293293292292292293293293293293293293293293292292293292292292291291290290289289288288286286285285284283283283283283283283283 304304304301999999999999999999999999999999999999999999999999999999999999999999999999999999999999298297297296297298297297297299299300299300301299299300300299301301301300301301301301301302301301301301300300302302301302303303304304305305305306306306306306306307304303304304303304305304305304304303304304300299300301302301301300300299298298299299299298298298298298297298297297297297297297298299299297297297296297298299299299298299299300299299300299299300301301302302302300999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292293293294292293290999295296296292293292292292293293293292293292293295296297298297297297298298297299298298299299299302300300299299299298299298298298298298297299298298298299300300299299300300300301301301301301300300300299300299300297297297297297297297296296297296296296296297296296297297297297298298298298298299298299299299299299300299300300300300301301300300300300300300301301301302301301301302300301301302302303303303304304304304304304305305305305305305305306306306306305306307306307306306306306306306306306306306306306306306306306306306305305305305305305305305306305306306305306305305306306306306306306306305305305305305305305305306306306306306306306306306305305304304304304304303304303304303303303303303303303303303304304304304303304304304304305305306305305305305305304304304304304304304304304305305305305305306305305306305305305305305305305305305305304304304304305304305304305305305305305305305304304304304304304304304304304305305305305305305305304305305304304304304304305305305304305304304304303303303303303303302302302303303302302302302303303303303303302303302302302301302302302303302302303302303303303302302302301302303302303303302302302303303303303303303302302302302303302303303301301301301300300300300300300301301300300301301300301300300301302301301302301302302301301301301302301301301301300301301300300300300300301301301301301301301301302302301301300300300299299298299299299299298298298298298299299300300300300299299300299299299298299299299298298298298298298297297297297296295295295295294294294295294294294294297296297297297297297296297296296296295295295295295295295295295294294294295295294294294293293293293293292293293293293293293293294294294294294294294293293293293293293293293293293293293292292293293293293293293293293293293293293293292292291291291290290290290289288289286287286285284283283282282283283283283 303305303302999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298296296296297297297297299298298299300300300300300299299301301301300300300300301301301301301301301301301301301302302302305304305305306306305306306304305307304304304304303303304305305305303304304303305303302299301301301301300300299299299300299299298299298298297297298297298299298298299299300298301297298299298298299301300300299299300300299299298299300300299302303301999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295295295295294294292292292295293294293292293294293294294295296295294293294295297297298298296296297298298298298301301301301300300300299298298299299299299298298298297298298298298300300299299299300300299299300300300300300299299300299298297297297297296297297297295296296296296296297297297297297297297297298298298299299299299300300300300300300300300301300301300300300301301301301301301301301301301302302302301302301302304301302303304304304304303304305305305305305305306306306306306306306306306306306306306306306305305305306305305306306305306306306305305306306306305305305305305305305305305305305305305305305305306306305306305305305305305305305305306306306307306306306305305305305304304303304304304303303304303303302303303304303303303304304304303304304304304305305305305304304304305304304304304304304304304304305304304305305306305305306306305305305305305305305305305305305305305305305305305305305305305305305305305304304304304304304304304304305305305305305304304304304305305304304304304305305305304304303304305303303303303303303302302303303303303302302302303303303303303302302302302302302302302302302302302302302302302303303302302302302303303303303303303303303303302302303303303302303302302302302302300300301300300300300300301301301301301301301301301301301301302300301300301301301302302300300301301300301302301300300300300299300300300300300301301300300301301301302301300300300300299299298299298299299299298298298298299299299299299300299299299299300300299299298298298298297297297297297297297296295296296295294293294294294294294295295296296297297297297296296297296296295295294295294295294294295294294294294294294293293293293293293292292292292293292292292292292293293293293293293293293293293292292293292292292292292292292292293293293292292293293292293292292293292292292292291290290289289289288287287287286286285284284283283283283283283283 303304304302302999999999999999999999999999999999999999999999999999999999999999999999999999999999999298297296296296297297298297298298299300300300300300300301301301301301301301300300301301301301301303303302302302303303303304305305306306307306306307305305306305304305306305305304304307304304305305303304306304302302300301301301300300300300299299299299299299299298299300299300300300299300300301299300300300300300300301301300300300300300300300300299999999302302301300999999999999999999999999999999999999999999999999999999999999999999999999999999999999297298299999999298296296295296296295293292292291292295292293293295295294295295296296296296295295295298298297297297296296297297299299299300300301299299300299299298297299297299299298298299298298298298298299300299299300300299299299299299298299299298299298298298298297298297296297296296296296296296296296296297297297297298298297298299299299300299298299299299300300300300301300301301301301301301301301301301302302301301301302301301301302302303303303302304303303303303304305305305305305305305305306306305305305305306306305305305305305305305305305305306305305305305306305305305305306306306306305305305305305305305306306305305305305305306305304305305305306305304305306305306306306306306306306306306305305305304304303304304304304304304303302302303303303303303303304304304304303304304304304305305304304304305304304304304304304304304304304304304304305305305305305305305305305305305304305305305305305305305305305305305305305305305305305305305305304304304304304304304305305305305305305305305304304304304305304305305305304304304304304304304304303303304303303303302302303302302303302302303302302303302302302301301302302302302301302302302303302301302301302303302302302302302302301302302303303302302301301302302302302301301302303302302301300300300299299300300300300300301301300301301301301301301302302299300300301301301301300300300301301300301300300300299300299299299299300300300301300300300300300300300299299299299298298298298297298298299298298299298299298298298298298299299298299298299299298298297297297297297297297296295295295295294294294294294294294294294294295295296296296296296296296296295296295295294294295294295295294294294294294294294293292293293292292292292292292292293292292292292292293293293293293293293293293293293292292292292292292292293293293293293293293293293293293292292292292292292292292291290290289289289288287287286285285284284284284284284283283283283 304303303303303303999999999999999999999999999999999999999999999999999999999999999999999999999999999999297296294296297297297296298299299299300300300301301301301301301301301301301301301301301301301302302302303303303304304303304305305306307306305304306304306305306305306306305305305305306306306305304303304303302301301302301301301301301300300300300300299299299300300300300300300300301301301301301301301302302302301302303302302301300299299300298999999999301999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299297299298298297297297294293295294297294292293292294294294294296295296294295296297297296296297297297298298296297297296297297298298298298298297299299299300300300299299298298299298298298299299299298298299300300300300300300299299299299299299299299299299299298298297296297297296296296296296297297297296297298297297298299299300299299299300300299300300299300299299300300300301301301301301302301301302301301301301302302301300302301300301301301302302302303302303304304304304305305305305305305305305305305305305305305305305305305305305305305305305305305305305305305305305305305305305305305305305306305306305304305305305305305305305306305305305305305305305305305305305305305305305305306306306306306305305305304304304304304304303303303303303302302302303303303303303304303304304303303304304304305305304304305304304304304304304304304304304304304304304304305304305304305305305305305304304304305304305305305305305305305306305305305305305305305305305305305304304304304305305305306305306305306305305305304304304304304304304304304304304304304304303303303303303302302302303302302302303303303303302302303302302302302303302302302302301301302302301301301301302302301301302302302302302302302303302303302302302302302302302302302301302302302302301300300300299300300300300300301301301301301301301301302302301301301300301301302302301301300300301300300299300300299299299299299299299300300300300300300300300300299300300300300299299298298298298298298298298298299298299298299298299298299299298298298298298297297297297297296296297296296295295294294294294294294294294294295295295294295296297297297296297296296296295295296294294295295295294294294294294294293293293292292292292291291292292292292292292292291292292293293293293293293293293293293293292292292292292292292293293293293293293293293293293293292293293292292292292291291291290290289288288287287287285285284285285285284284284283283283 304303303304304305999999999999999999999999999999999999999999999999999999999999999999999999999999999999296296295296296295296296297298299299300300301300300301301301301301301301300301301301301301302302302303303302302304303304304305306307306305306306305306306307306306307306306306305305305305306305305304303302303302302302302302302302302302301300300300299300299300300300300301301301301302302302302302303303303304303305307307304302301300301300999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297298298298299297297295294295295298291293293293293294294294295295295297296296294296295297297298298298297298297297296298298297298298298298298298299299301300300299299299299299299299299299299299299299299299300300300300299299299298299299298298298299298299298298298297296296296296296297297296297296296297297297299300300300300300300300300301300300300300300300300301301301301302302302301301301301301301301301302302301301300300300300301301301301302302303303303304304304305305305305305305305305305305305304305305305305305305305305305305305305304305304304305305305305305305305305305305306305306306305305305304304304305305305305305305305305305306305305306306305305305305305305305306306306306307306306306305304305304304304303304303303303303303303303303303303303304304304304304304304305304305305305304305305305305304304304304304304305305304305305305305305305305305304305305304304304304304305305305305305305305305305305305305305305305305305305305305305305305305305305306306306306305306306306306305305305305304306305305304305304304304305304304303303303303303303303303303303303303303303303303303302302302303303303302303302302301302302302302301301302303303302302301302302302302302302302302301302302301301301301302301301301302302302301301300300300299300300300301300301301301301301301301301302302302302301301301301301301301300300300300300300299300299299298299299299299299299299300300300300300300300299299300299299299298298298298298298298298301299299298299299299298299299299299298298298298298297297296296297297296296296295295294295294294293293294294293293295295296295295295296297297297297297296295295295295295294294295294294294294294294293293293292292292293291292292292292292292292292292292292292292292293293293293293293293292292292292292292292292292293293293293293293293293293293292292292292292291291292291290290290289289288288287286285285285284285285285284284283283283283 304305303303304304999999999999999999999999999999999999999999999999999999999999999999999999999999999999294295295295295296296297297297298300300300301300301301301301301301301301300301301301301302302301302303303303303303303304304305305306307306305305305306307307306305306306305304306305305305305305304303302302301302302302301302302302302302302301300300300300300300300300300302301302302303303303303305305304304304304304307304303302300298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299300299298298296296296295294299295293294295294294294294294295296297296296295296297297298298298298297298298297298298298297298297298298298299299300298300300300299299299299299300300299299299299299300299300300300299299299298298299298298298298300299299297298297297296296296297297297297297297297297298298298299300300301301300300300300300300300300300301300301301301302301301301302302301301301301301301301301301300299300300300300301301302302302302302303303304304304305305304304304304305305305305304304305304305305305305305305304304304304304304304304305305305306305305305305305305306305305305305304305304304305305305305305305305304305305305304305305305305305305306305305305306306306306306306305306305305304304304303303303303303303302302303302303303303303303304304304304304304304304305304304304304304305305305305304304304305305305305305305305305305305305305304304304304304304304304305305305305305306305305305305305305305305305305305305305305305305305305305305305305306306306306306306305305305306306305305305305305304304304305304304304303303303304303304303303303303303303304304304303303302303302302302302302302303302302301302302302302302302302302302302302302302302302302302302302302301301301301301301301301301300300300301301301301300300300300300300301301301301300301300301301301301301301301301301301301301300301300300300299299299299299299299298298299299299298299299300299300300300300299299300299299299299298298298298298298298298300298298299299298299298299299298299298298298297297297296296296296296295295295294294294295293293293293293292293293294295296295296295296296296296296296295294295296294295295294294294294293294294293293292292292292292292292292292292292292293292292292292292292292293293293293293293292292292292292292292292293292292292293293293293293292292292292292292292291291291291291290290290290289288288288287286286286285285285285284284283283283283283 303304304304304304999999999999999999999999999999999999999999999999999999999999999999999999999999999999295294295295295296296296296298298299300301300300301301301301302300301301301302302301302303302302302303303303302303303303303304305305305305306306306306306306305305305305305305305305305305305305304304303303302303303301302301302302301301301300301300300300300300300300301301302302303303304304304305306305306305305304306302999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298298298296296295295295296294294294294294294294294294295295295296296296297296297297297297297297298298297298298298298299299298298298299299299299299299299299299299299299299299300299299299299299300300299299299299298298298299298299298298298299297297297296296297297297298296297297296297297297297297298300300300300300300300301300300300300300300301300301302302302302301302302302301301301301302301301301301301300300300300300301302302302302302302302302303303304304304304303303304304305304305304305305305305305305304305304304304304304304304304305304305305305306305305305305305305305305305304304304304304304304305305304304304305306305305305305305305305305305305305305305305306305305306305305305305304304304304303302303303303303303303303303303303303304304304304304304304304304304305304304304304305305305305305305305305305305306305305304305305304305304305304304304304304304304304305305305305305305305305305305305305305305305305305305305305305305305305305305305306306306306305305305305305305305305306305305305304304304304304304304304305304304304303304303303303303303303304304303303302302302302302302302302302302302301301301301301301302303302302302302302302301302302301302302302302301300301300300301300300301300300300300301301300300300300300300301301300301301301301300300301301301301301300300300299300300299299300299300299298299299299298298298298299299299299298299300299299300300299299299300299298298298298298298298298298299299299299299298299298299298298298298298297297297297296297296296296295296295295295294294294294293293293293293292293293293294295295295294295295295296296295297295297297295295294294294294294294294293293292293292291292292292292292292292292292293293293292292292292292293293293292293293292292292292292292292293293292293293293293293293292292292292292292292291291291291291290290290290289289288288288287286286286285285284285284284284283283284284 304304303303303304999999999999999999999999999999999999999999999999999999999999999999999999999999999999296295295295295295295296297297298298299300300300300301301300301301301302301301302302302303302302303302302302302303302303303304305305306305306306306305305306306306306304304305304305305304304304303303303303303304303302302301301302301301301300300301300300300299300301301301302303303305307305306305305306307307303301298299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303297295295295294293294294294294295295295294295295296296296297296296297295297297297297297297298297297298298298299299299298298299300299299299299299299300300299300300300300300300299299299299300299299300299299299298299300298298299299298296296296999296297297297297298297296297298297297297297299299299300300301301301300300301300300300300301301301302302302302302302301302302301301302302302302302302302301300301299301300301301302302302302302303303303303303304304304303304304304305305305305305305305304305304304304305305305305304304304305305305305306306305305305305305305305305305305304304304304304304304304304305304305305306306305305305305305305306306305306305306306306306305305305305305305305305304303303303303303303303303303303303303304304304304304304305304305305305304305305305305305305305305305305305305305305305305306305305305305305305304305304304304304304304304304305305305305305305305305305305305305305305305305305305305305305305305305305305305306306306306305306306306305306305306305305305304304304305304304304304304304304304304304304304304303304304303304304303303303303302302302302302302302302301301301302302302302303303302302302301302301301302302301302302301301301301301300300300300300300300299300300301300300300300300300300300300300301300300300300301302301301301300300300300299300300299299299299299299298298298298298298298298299298298298299300299299299300299299300299299299299298298298298298298298298298299299299299299299298298298298298298298298297296297296296296296296296294294293294294294294293293293292292292293292293293294294294294294294294295295294294294296295295295295294294293294293293294293293293293292291292292292292292292292292292292292292292292292292292292292293292292292292292292292292292293293293292293292293292292293292293292291291292291291291291290291291290290289289289287288287287286286286285284284284283283284284283284284 305304304304303302999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296295294294295296296297297298298299299300301300301301300301301302301301302302302302302302302302301302302302303303303304305305305306305306306305306305306303303304304305305305306304304302302302301301303302302303301301301301301302301301301301301300300300300301301301302302303304304307307307306306307307306304301298299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299999999999999999999999999299299297295294294294295295295295295295295295294296296296296296297297297296298296296298297297298298297298299299299300299298297298298299299299299299299300300301300300299300300299298297298299300299299300300300300299299299299299299298299296296296295999296296296297297297297297297298297298298298299299299300300301301301301301301301301301301301301301302301302302301302302302302301301301301301301301302302302302301300301300300301302302302302302302303303303303304304304303304304304303304305304304304304304304304304305305305305305304304305305305305305306306305305304305305304304304304304304304304304304303303304304304304305305305304305305305304305305306306306306305305306305305305305305305305304304304304303303303303303303303303303303303304304304304304304304304304304304305305305305305305305305305305305305305305305305305305305305305305305305305305305304304305304304304304304304304305305305305305305305304305305305304305305304305305305305305305305305305306306306305306306306306306306305305305305305305304304304304304304304304305305304304304304304304304304304304304303303302302303303303303303302302302302302302302302301302302303302302302303302301301302301301301301301301301301301300300300300299300299299298299299300300300300300300299300300300300300300300299300300300301301300300300300299299299300299299299298299298298298298297298298298298298298298298299300300299299299298299299299299298298298298298298298298298298298298299299299299299298299299299298298297298297297297297296296296296295295295294293293294294294293293293293293293292292293292293293293292293294294295294294294294294294293293293294293293293293293293293294293292291291292292292292292292292292292292292293293292292292292292293293292293293292292292292292292292292292292292292293292292292292292292291291291290291291290290291290289289289289288287287287286285285285284284283283283283283283284283284 305303302303302302999999999999999999999999999999999999999999999999999999999999999999999999999999999999297297295294293295295296298297297298299299301300300301301301301301301302302302302302303302302302302302303303302303303303303305304304304304304304303305306306304304304305304305305304303302302301301302301301301301302301300301301302303302302302301301300300300300299301302303303304306306306307307307307307308307308301297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300299999999298298297297297296295298294294295295295295295295296296295295295295296297297297297298298296297297297298298299299298298299299299299299299298299299299300300300300300300300301300301300300299299299298299299299299300300300299299299299299299300299299297297296296296295999297297298297298297297297298298299299299299300300301300301301301301302301300301301301301302302302301301302302302302302302302302301302302301302302301302302301301301301301301301302302302302303304304304304304303304304304304303304304304304303304304303304304305305304305304304304305304305305304304305305305305304305304304304304304303303303304303303303304303304304305305304304304304304304305304305305305305305305305305305305305304304304304304304303303303302303303303303303303303303303304304304304304304304304304304305305305305305305305305305306306305305305305305305305305305305305305305305305305304304304304305304304304305305305305306305305305305304304304304304305305304304305304305305305305305305306306306306306306306306306305306305305305305305305305304304304304304304305304305304304304304304304304304304304304303303303303303303303302303302302301302302302302302302302301302303303303302302301301301301301301301300300301300300300300300299299299299299299299299300300300299299299299299300300300300299300299300300300300300300300300300299299299299299299298298298298298298298299298298298298298298298299299299299299299299299299299299299298298298298298299298298298298298298298299299299298299299298298298298298297298296296296296296296295295295294293293293293294294293293293292292293292292293293293292292292293293294294293294294293293293293294294294294294293294293293292292292291291291291291292292292292293293293293292293292292292292293292293293293293292292292292292292292292292292292292292292292293292292291291291291290290290290291291290289289289288288288287287286285285285284284284283283283283283283283284284 305305304303303303305999999999999999999999999999999999999999999999999999999999999999999999999999999999297296296294294296296296297298299299299299300300301301301301301301302303303303302302302302302302302302303302302303303303302303303302302303302304303304304304304305304304303302303303301302301300301302300300301302302301299301302302303301302301300300300300300300300301301301304304305305306306306305307306307307305298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301999999299300297296297297297296295296295295295296295295296296296295295295295295296296297296297298298298296297298299300300300299299299299299299299299298298299300301301300300300300300301299300299299300299299298302301300299299300300300300300298298298300300297297297297296297296298299298298298298298298298298299298299299299299300301301301302302301301301301301301301301302302302301302302302302302301301301302302302302302302302301302302302302301301301302302303303303303302303304304304304304303304303303303303304303303303303302303304304304304305305304304304304304304304304304305305305305304305304304304304305303303303303303303303303303304304303304304304304305305304305304305305304304304305304305304304304304304304304304303303303303302302303303303303303303303303304304304304304304304304304304304304305305305305305305305305305305305305305306306305305305305305305305305305305304305304304305304304305305305305305305305305304305305304304304304304304304304304304304305305305305306306306306306306306306306305306306306306305305305305305304304304304304304304305305304304304304305305304304304304304304303303303303303303303302302301301301302302302302303301302302302302302301301301301301301301301302300300300300300300300299299299299298298298299299299299299299299300299299300300300300300300300300300300300300300300300299299299298298298298298298298299299299298298298299299299299299299298299299298299299299298298298298298298298298298298299298298298298298298298298299299299298298298298298297297297297296296296296296296295294294294294293293293293293293293292292292292292292293293292292292293293293293293293294294293293293294294294294293293294293293292292292292291291291291291292292292292293293293292292292292292293293293293293293293293292292292292292292292292292292292292292292292291292291291291291291291290291290290290289289288288288288287287287286285285284284284283282282283283282283283284284 305305304305304302304303999999999999999999999999999999999999999999999999999999999999999999999999999999297296295294294296297297297298298299299299300301301301302301302301302303303303302302302302301301301302302302301303302301302302302302302303305999999303302302303304304303303303303301300300300300300299300301300301302301300301302303302302301300300298299300298299300300300301301303304305305305305305306306307306305299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999306999300300300298297296297297297296296296295296296296296296296296295296296296295296296296296297297298298298297297298299301300300299299300300299300298299299298299300300300300300300299300300300300299300301300300300301301301302301301300300299300299298299298300297296297298297297999299299299298298298298298298298298298299299300299300301301302302302301301301301301301302302301301301301302302302302302302302302302302302302302302302301301301302302302301301301302303302303303303303303303303303303303302303304303303303303303303303302302303303304303303304305304304304303304304304304305305305305304304304304304304304303303303303303303303303303303303304303304304305304304304304304304304304304305304304305304304304304304303304304304303303302303303303303303303303304303303304304304304304304304304304304304304305305304304304304304305305305305305305306305305305305305305305305305305305305304305305305305305305305305305305305305305305305304304304304304304304304304304304304304305305305306306306306306306306306306305305305305305305305305306305304304304304304304304305306305306305305305305305305304305304304303303303303303303302302302302301302302302302302302302302302301300300300300300300300301301300300300300300300300300300299299299298298299299299299299298298299299299299299299300300299300299299299299299300299299299299299298298298298298298298298298298298298298298298298298299299298298298298298298298298298298298298298298298297297298298298298298298298298298298298298299299298298297297297297296296296296296295296295295294294294293293293293292292293293292291292291291291291291292292293292292292292292293293293294293294294294294294294293293293293292292291292291291291291291291291292293293293293293292292292293293293293293293293292292292292292292292292292292291292292292292292292292291291291291291291291290290290290290290289288288287287287287286286285285284284284284283283283283282283283283283283 305305306305304302303999999999999999999999999999999999999999999999999999999999999999999999999999999999298297296295295295296297298298299299300300300301300301301301302302302302302303302302301302301301301302302302302303302301301301302303303303999999999999302303303303303302302301300300300300300300300299299300300301300300300300300301302302301302301299300299298299299299299300302301303304304304305304304305305301301999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303301301302299297296297297297297296296295295295296296296296296295296296296296296296296296297297298298298298298299300300300300300300300299299300299299298299299299300300299299299300300300300300300300300300300301302301302302302301300301299300299298298297297297296298299299297297300300299299299298298298298298298299299300299299300301301301302302302302302302302302302302302302301301301301302302302303303302302301302301302301301301301301302301301301301302302302301302304304302303303303303303302302302302302302302302302302302303303303303303303304303303304305304304304304304304304305305305304304305304304303304304303303303303302302303303303303303303303304304305304304304304304304304304304304304303304303304304304303303303304304303303303303303303303303303303303303304304304304304304304304304304304304304304304304304304304304304304305305305305305305305305305305305305305305305304305305305305305305305305305305305305305305305305304304304304304304304304304304304304304305305305306306306306306306306306306306305305306305306306305305305305305305304305304305305305305305305305306305305305304304304304304304303303303302302302302302302302302302302302302302301301301300301300300300300300300300300300300300300300299299299299300299299299299299299299299298299299299299299299299299300299299299299299299299299299298299298298298297297297298298298298298298298298298298298298298298298298298297297297298298298298297298298297297298297297297298297297297298298298298297298298298298297297297296297296296296296296295295296295295294294293292293293292292292292292291291291291291291291291291292292292291292292293293293294294293294294294293294293293293293292292292291291291291291291291291292292292292293292292292292292292293293293293293293292292292292292292292291292292292291292291291292291292291291291291291290290290290290290289289288288287287287287286286285285285284284284284283282282282282282283283282282 305305307305303303302304999999999999999999999999999999999999999999999999999999999999999999999999999999298298297296296296296297298298299300300301301301301301301302302301301302302302302302302301301302303302302302302302302301301302304301301303305999999999302302303303302302301300300299299299300300301299299299299299298300300300300299300301301300301300300299300299298299298300301302302303303304305305303304307303999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301302301300297297297297297298297297296296296296296296296296296296296296296296296296297297297299299298298299299300299299300300301300300299300299299298299299300299300299299300299301300301300300300301301300301301302302302301301301299300300298297297297297296297299299299298298298299299299299298298298298298299299299299299299300300301301301301302302302303302302301302302302302301301302302302302302302302301302301301302301301301302301302301301301301301302302301303303303304303303303303302302302302301302301302302302302302303303303303302302303303303303303303304304305305304305305305305305306305305305304303304303303304303303303303303304303303303303304304304304304304304304304304304304304303303303303303303303303303303304304303303303303304303303303303303303303304304304304304304304304304304304304304304304303303303304305304304304305305305305305305305304305305305305305305305304305305305305305305305305305305305305304305305304304304304304304304304304304304304304305305305305305306306306306306306306305305305305306306305305305306305305305305305305305305305306306305305306306305305305304304304304304303303302302302302302302302302302302302302301302301301300300300300300300300300300300300301301300300299299299299299300299299299299299299299299299298299299298299299299299299299299299299299299298299299298298298298298297296297297298298298298298298297298298298297297298297297297297297297298298298298298297297297297297297297297297297297297297297297297297298299298298298297297297296296296295295295295295295295294295293293292292292292292292292292291290290290290290290290291291291292292292292293294294294294293294294293293294293293292292292292291291291291291291291291291292292292292292292292292292292292292292293292292292292292292292291292292292292292292292292291291292291291291291291291290290289290290289289289289288288287287286286286285285284284284284284283283282282282282282282282282282 305305305304304303303303304999999999999999999999999999999999999999999999999999999999999999999999999299299298297296296297297297297298299300301301301301301301301301301302302302303303303302303302302303303302302301302302302302302302305301301303303306999302301302301302302302301300299299300301301300300299299299299298298299299300299300299299300300300300301300301299299300300300300301303303304304304303304303306999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301300299298297297298298298299297297297297297296296296296297296296296296296296297297297299298298299299299299300299300300302301301301300300300299298298299299299300300300300300300301301300301301302302301302302302302302301300300300300299298298297298297296299299297299299298298299299300299299299299298298299299299299299300300300301301301301301302302302302302303301301302302301301301301302302302302301301302302301302301301302301302301301301301301302302302302302303303303303302303302302302303302301301301302302302302302302303303303302303303303303303303303304304304305305305306305305305305305305305304304303303304304303303303303303303304302303303303304304304304304304304304304304304304304304303303304303304304303304303303303304304303303303303303303303304303303303304304304303303304304304304304304304304303303303304304304305304304305305305305305304304304305305305305305305304305305305305305305305305305305305305304305304304304304304304304304304304304304304305304304305305305305306306306306306306306306306305306305305305305305305305305305305305305305305306306305305305305305305305304304305303303303303303303303302302302302302302302301301301301301301300300300300300300300300300300300300300301300299299299299299299299299299299299298299299298299299298298298298298299299299299299299299298298298298298298297297297296296297297297297297298297297298298298298298298297297298298298298298298297297298297298298297298297297297297297297297297297297297296297297297297297297297296296296296296295295295295295295295294294293292292292292292292292291291290290290290290290290290290290291291292292292292292292293293293293293293293293293292292292291291291292291291291291291291291291291292292292292292292292292292292292292292292292292292292292292292292292292292292292292291292292291291291291290290291290290289290289289289289288287287286286286286285284284284283283283283282282281282282281281281282282 305304303303304303304303303304999999999999999999999999999999999999999999999999999999999999999999999999299299298296298298298297298299300300301301302301301302301302301301302303303304304303302303303303303303302302302302302302302303305305304303301301301301302302302302303303303301301300301301301301300300300300299299299298299299300299299298299300300299299300300299299300300300300301301302303304304304304303999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301301302300298298297298298298298298298298298297296296296297297296296296296296297297298297298299299299300300300300299301301301301301301301301300300300299299299299300300299300299300301301300301301302302302301301301301300300300301299999298299298298298297297297298297299298299298299300300299299299299299299299299299299299300300301301301301301301302302302301301302302302302302301301301301301302301301301302302302302301301302302301302301301302302302302301302302302301303303302302302302302302302302302302301302301302302302302302302302303303303303302303303303303304304305305304306306305305304305304304304304303304304303303303303303303303303303303304303304304304303304304303303304304304304304303304304303303303303303304304304304304303303303303303303303303303303304303304304304303304303304304303303303304304304304303304304304304304305305305304305304304304304304304305305305305305305305305305305305305305305305305305304304304304304304304304304304304304304303304304304305305305305305305305306305306306305306305305305305306306305306305305305305305305305305304305305305305305304305305305304304305304303303304304303302302303302301302302302301301301301301301300300300300300300300300299299300300300299300300299299299299299298299298299298299299299299298298298298298298298299299299299299299299298298298298297298298296297296296296296296296297297297297297298298298298297297297297298298297298298298297298298297297297298297297297296296296297297297297297296297297297297297296296296296297296296296295295295295294295294293293293293292292292292291291290290291290289289289290290290291291291291291291292292293292293293293293292292292292292292291291291292291291291290291291291291291291292291292292292292292292292292292292292292292292292292292291291291292292292292291292291291292291291291291290290289289289289289288288289288287287286285285286285285284284283283283283282282282281281281281281281281281 304303303302304303302303303304304999999999999999999999999999999999999999999999999999999999999999999999299300298298298298297298299299299300300301301302301302301302301301301302303303303303303303303303303303303303302303303303304303303302305302301302302303303304303303302302302301302302301301300300300299300299299299299298299299299299299299298299300301300299299299300299299300299300301301304304303303303999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301300300301300300299298298297298298298298299299298298297297296296297296296296297296296298297298298298299300300299300300300301301301300301301300301300300300300300299300300300300300300300301302302301300301300301301302301301301300301301300301299999298299299298297297297297299299300300298299299299299299299299299299299299299299300300301301301301301301301301302302302301301301302302302301301301301302302302302301302302302302301302301302301301302302302302302301302302302302302302302302302302302302302302302301302302301302302302302303302302303303303304303303303303303303304305305305304305305305304304304304304304304304304304304303304304303304303303302303303303304303304303303303303303303303304304304303304303303303304303304304304304304304304303303303303303303303303303303303303303303303303303303303303303303303304304303304303304304304304304304304304304304304305304304304304305305305305305305305305306305305305305304305304304305304305305304304304304304304304304304305304305305305305305305306306306306306305305305305305306306306306306305306305305305305305304304304304304305305304304304304304305305304304304304303303303302302302302302301301301301301301302302302300300300300300300300299299300300300300300299299299299299298299299299299299299299299299299298298298298298298298298298298298298298298298297298297297297296296296296296296296296296296297296297297298297297297297297297297297297297298297297297298297297297297297297297297297297297297297297297296297297297297297297296296296296296296295295295295295295294294294293293293292292292291290290289289289289289289289289289290290290290290291291291292292292293292293293292292292292292292292291291291291291291291291290291291291291291291292292292292292292292291292292292292292292292291292291291292291291291291291291291291291291291291290290290289289289289289288288288288287287287286286285286286285284284283283283282282282282282282281281281281281281 304303303303303303303303303304303999999999999999999999999999999999999999999999999999999999999999999999299299299298298298298297298298299300300301301301301301301301301301302302303303303302302302302303303303303303303302303304304304304304304304303304304304305305305304304303303302301301300300299299299299300299299298298299298300299299298298299298300300300299299300299297299299298299300300302302302301999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300300299301299299299298297298298298298298298299298298297297297296297296296295296296297297297297297298299299299299300300300301300301301301300300300300300299300299299300300300300301301301301302302300301299300300301301301301301301301300300300300999297298299297298298297297297298299299299299300300300300299299299299299299298299300300300301301301301301301302301302302302301302301301301301301301302301302301301301302302302302302301301301302302301301301302302302302302302302302302302301302302302301301301301301301301301302302302302302302302303303303303303303303303303304304305305305305305305305304305304304303304304303303304303303303304303303303304303303303303303303304304303303303303303303303304304303303303303303304304304304304304304304304303303303303303303303303303303303303303303303303303303303303303303303303304304303304304304304305304304304304304304304304304304305305305305306305305305305305305305305305305304304304305304304304304304304304304304304304304304304305304305305305305305306306306306306305305305305306306306306306306305306306306306305305304304304305304304304303304304304304304305304304304303303303303302302302302302302302302302302302301301301300300300300300300299299299301299300300300300299300299299299299299299299299299299299299299299298298298298298298298298298298298298297297297297297296296296296296296295296296296296296296295296297297297297297297297297297297297297298297298297298297298297297297297297297297297297297297297297297297297297297296296296297296296296295295295295295295295295294294293293293293291291291290289289289288288289289289289289290290290290290291291291292292292292292292292292292292292292292292291291290291291291291290290290291291290290291292292292292292292292292292292291291292291292291291291291291291291291291291291291291291290291290290290289289289289289289288288287287286286286286285286286286285284284283283283283282282282282281281281281281281281 303303303303303303303303303303302304999999999999999999999999999999999999999999999999999999999999999999300300299299298298298298299299300300301301301301301301301302301301302302302302302301300302302303304303303303302302303303305304303304303304304304305306305305305305305304304303301299299299299297297298298298299299299298299298300300298297298298299300301299298298297297298298299298300301301301301302999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301300303300296298298298298297298298298298298298297296297296297296296296296296297297297297297298299299300300300300301301301300300300300300300300299300300299300300300300299300301301301300301301300300299300301301301301301301300300300299299298297298298297297297297297297298299297298299300299299299299300299299299298299299300300300300300301301302302302302302302302301302302302302301301301302301301302302302302302301302302301302302301302302301301302301302302302301301302302302302302302301301301300301300301301301301302302302302303302302302303303303303303303303305304304304305305305305305304304304304303303303304304303304303303304303302303303304303303303303303303303302302302303303303302303303303303303304304304304304304303304304304304303304303303303303303303303302303303303303302302302303303303303303303303303304304304304304304304304305304304305304304304304304305305305306305305305305305305305305305305304304304304305304304305304304304304304304304304304304304305305305305305305305306306306306306306305306306305305306306306306305305305305305304304304304304304304304303303304304305305305304305304303304303303303302302302301301302302302302302301301301300300300300300300300299299299300299299300300299299299299298299299299299299299299299299299299299299298298298298298298298297297297298297297296296296296296295295295295295295295295296296296296296296297297296297297297296297297297297297297297297298297297297297297298298297298297297297297297297297297297297296296296296296296296296295296295295295295295294294293293293293293291291290289289289288289288287288289288289289290290290291291291292292292292292292292292292292292292292291291291291291291291291291291290290290290290291290291291292292292292292291292292291291291291291291291291291291291291291291291291291291290290290290290290289289289290289288288287287287286286286286285286286285285284284282282283282282282282282281281281281281281281 303303303303303303304304303303303303303999999999999999999999999999999999999999999999999999999999999999301301301299299298298298299300300300300301301301302302301301302302301302302302302302302301301302303303303303302302303303303303303303303304304304305305305304304304304302301301300300298298298297297297297298298299298298297298299299300299299299299300300301299298298299298298298298299300301300301999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299301300303303300298298298299298298298298298297298298298297297297297296296297296297297298298297297298299299300299300301301301300300299299301301301300300300300299300300299300300301300301300300299300301301300300301301302302300301300300301299298297297296298297297297297297298297299298299298299299299299299300299300299299300300300299300301300301301301302302302302302302302302302302301301301301302301301302302302302302302302302302302302302302301301301301300301301301302302302302303302302302301301301301301300301301301301301302302302302302302302303302302303303303304304304304304304305305305305305304304304303304304303303303303304303303303303303303303303304303303303303302303302302302302303302303303303303304304304304304304304304304304304304304303304303303303303303302303303303303303302302302303303303303303303303303304304304304304304304304304304304304305304304305305305305305305305305305305305305305304304304305304304304304304304304304304304304304304304304304304305305305305305305305305305305306306306306306306306306305305306306305306305305305305305304305305304303304304304304304305305304304304304304303303304303303302302302300301302302302302302301301301301300300300300300300299299299300300299299300299299299298298298299299299299300299300299299299299298298298298298298298297297297297297297297296296296296295295295295295295295295295295296296296295296296296296296297297297297297298297297297297298297297297298297297298297298297297297297297297297297297296296296296296296296297296296295295295295295295295295294293292292292291291291290289289289288288288288288288288289289290290290291291291292292292291291291292291292291292292291290291291290290290290291291291290290290289290291291291291291291292291292291291291291291291291291291291291291291291291292291291291291291290290290291290289289289289289289289289288287287286287286286285286286285285285283283282282282282282281281281281281281281281281 303302302303303304304304304304305304304999999999999999999999999999999999999999999999999999999999999999301301301300299298298298298299299300300301301301301301301301302301301301301302302301999300301303303303303302302302302302303303302302303304303302303303303303304303302300299299298297298297297298298298296296298298297298296297300299300300300300301301301302301300299299298297298298298300300299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298300299299300301300298298299299299299299298298297297298299297297297297297297297296297298298297297298298299299300301300300301300300300300300300301300299299299299299299299300301300301299298299299300301301300300300301302301300300299299301300298295296296296297296296297297297297297297297298298298299300300299299299299299299300299299300301301301301301302302301301301302302302301302302301301301301302301302302302302302302302302302302302301301300301301301301301300301302302302303303302301301301301301301301301300301301301301302302302302302302302303303303303303303303303303304304304305305305305305304304303304304304304304304303303303303303303304303304303303303303303302302302302302302303303302303303303304303303303304304304303303304304304303304304304303303303303303303303302303303303303302302302303303303304304304303304304304304304304304304305304305305305305305306306306306305305305305305305305305304305304304304305305304304304304304304304304304304304305304304305305304305305305304305305306305306306305305306306306306305306306306305305305305305305304305305306305304304304304304305304304304304304304303303303303303302302302302302301301301301302302301301301301300300300300300300300300300300300299300300300299299298298298299299299299299300299299299299299298298298298298297297297297297297296297296296296295295295295295295295295295295295296295295295295295296296296296296297296297297297297297297297298297297297298298298297297298297297297297297297296296296297296296296296296296296296296295295295295295295294294293293292292291291291291289289288288288288287287287287288288289289289290290290291291291291291291291291291291290291291291291291291291290291291291291291291291290289291292292292291292291291291291291291291291291291291291291291291291291291291291291291291291290290290290291290290289289289288288288288288287287286286285285286286285285284284283283282282282282281281281281281281281281281282 303303303303303303304304304305305305305999999999999999999999999999999999999999999999999999999999999999301300299298298297297298298299299300300300301301301301301301301301300301302302301301301299301302302302302302302302301302302303302301301302302302302303303303302302300299298297297297297297298298299298297297298297297297297298299299300300300302302302301302301301300299297300301299299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293297299300298299300298299299299300299299298297298297298297297297297297297297297297297297298298298298299299299300300300300300300300299300300300299299298299298298299299299300300299298300300301301301300300301301301301300299299300301299298296296295296296296295296296296296296296296298298298298299300300299299299299299300300300300301301300301300301302301301301302302301302302301302301302302302301301302301301302302302302302302301300300300301301300300301301301302302302302302302300300301301301301301301301301301301301302302303302302302302303302302302302303303303304304304304304305304304304304303304304303304303304303303302302303302303303303303303304304303303303302302302302302303303303303303303303303304304304304304303303304304303304304304304303303303303302303303302303302302303303302302303303303304303303303304304304303304304304304304305305304305305305306306306305305305305306305305305305305304305304305304304304304304304304304304305304304304304304304304304305305305305305305305305305305305305305306306305306305305305305306305304305305305304305305304305304304304304304304304304304303304303303302302303302302302302301301301301301301301301301300301300300300300300300299299299300299299300299299299299299298299298299299299299299299299299299299298298298298298297297297297297297297296296296296296295295295295295295296296295295295295295295295295296296296296296296296296296297297297296297297297297297297297297297297298298297297297297296297296296296296296296296296295296296296296295295295295294294294294293292291292291291290290289288288287287287287287287287287288289289289290289290290290290291291291291291291291290290291290291291291290291290291291291291291291291290291291291292292292291291291291291291291291291291291291291291291291291291291291291291291290290290290290289289289289289289288288288288287287286286285285285285285284285284284283283282282282282282281281281281281281281281282 304304303303303302304304305304305305304999999999999999999999999999999999999999999999999999999999999999300300299298297297297297298299300300300300300300301301300301301301300999301301301301301301302303302302303303303302302302303301302302301300301301303302302301301301300298298297297297297297297297298298299298298297297297297297299298299300300300301302303305303304301301301999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298300299298299298298299299299299299300300299298298297297297297298297297297297297297298299298299298299299299299299300300300300300300300300299299299298298298298298298299300300299299300300300301301300299300301300300300300300299300299297295296295296296296295295296295296296296297297298298298298299299300299300299299300299298299299301300300300301301301300301301301301301302302301301302302302301301301301301300301302301302301301300300300301300300300301301301301301301301301302301301301301301301301301301301301302301302302302302301302303302302302302302303303303303303304304304304304304304304303303303303304304304303303303303302303303303304304303304304303303303302302302302302303303303303303303303303304304304304304303303304303303303304304304303304303303303303302302303302303303302303302302303303303303303303303304303304304304304305305305305305304305305305305306306306305305305305305305305305304305305305304305304304305304304304304305304304304304304304304305305305305304304305305305305305305304305305305305305305305306306306305304305305305304305305304305303304304303304304304304304304304303303302302302302302302301301300301301301301301300301300301300300300300301300300300300300299299299299299299299299298298298299299299299299299299299298298298298298298297297297296296296296296295295295295295295295295295295295295295295295295295295295295295295296296296297296296296296296297297297297297297297297297297297297297297297297297297297296296296296296296297297296296296296295296295295295294295294294294293292291291291290290290289289288288288287287287287287287287288288288288289289289289290290290290290290290290290290290290290290290290290291291291291291291291291291291292292292291292291291291291291291291291291291291290291291291291291291291291291291290290290290290290290290289289288288288288287287287287287286286285285285284284285284284284283283282282282282281281280281280281281281281282 306304303305303302303305304305304304302999999999999999999999999999999999999999999999999999999999999999301300299299298297297297299299299300300300300300301300300301301300300300301301300300301302303304303303303304304304302302301301302302301301302301301301300299298299299298298297296297297298298298297298299297297296298297297297298299299300299300299302301309999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296298299297299298297297299300300300300300299300299298298298298298297297296297297297298298299298298299299299299299300301300300300299299299299299299298298298298299299299299299300300298299300300299299300300301301300300301299300299299297296295295296295295294294295294294295295295297297297298298298299299301300300300301299299298299299300300300300301301300300301301301302302302301301301301301302301301302301301301301301301300302300300300300300300301300301301301301301302302302301302302301302302301301301301301302302302302302302302302302302302302302303303303303303304304304304304304304305303304304303303303303303303303303303303303303303303304304304304303303303302302302302302302303303303304303303304304304303303304303303303303304303303304304304304303303303303302303303303302302303303303303303303303303303303303303304304304304304305305305305305305306306306306306306306306306305305305305306304305305304304304304305304305304304304305305304304304304305305304305305304304304304305305305305305305304305305305306306306305305305305305305306305305305305305305305304304303304303303303303304303303303302302302302302302301301301301301301300300301301301300300300300300300300300299300300300299300300300299299299299298299298299299300300300299299299299298298298297297297297296296296296296295295295295295295295295295295295295295295295295295295295295295296296295296296296296296297296297296296297297297297297297297297298297297297297297297297297296297296296296296297297296295295296296295295294295295295294294293293292291291291290289289289288288288287287286287287287287287288288288288288289289289289290290290290290290290290290290290290290290290291290290290291291291291291291292292291291292291291291291291291291291291291291291291291291291291291291291291291291290290290289290290290289289289289288288287288288287286287286286285286286285285285284283283283282283282282281281281281280281281281281281282 307305303303303303303305305305304303302303999999999999999999999999999999999999999999999999999999999999999300299298298298299999298299299299300300300300300301301301301301300300300300301301301302302303303304303303303302302302302302301302302302301301299299300299298298298296297296296296296298298298297299298297297297298297298297297297298298299301300999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292298297298299299299299298298300300300300299299299299299299299299298298299297299298298298298298298298299299299299300300299299299299299298299299299298298299299300300300300299299299299300299300299299299299300301300300300299299299299297296296296295295295294294294294295295295295296296297297298298298299300300300300300300299298297299300299299300300300300300301301301301301301301301301302302302301301301302301301301300300300301300300300301301301301300300301302301301301302302302302302302302301302302301302302302303302302302302302302302303302303303303302303304303304304304304305305305304304304304304303303303303304303304303303303303304303304304303304303302302302303303302303302303303303303303304303303304304304304304304303303304303303303304304303303303303303303303303303302303302302302302303302303303303303303303304304304304304305305305305305305306306306306306306306306306306306306306306305306305304304304305305305304304304304305305305304304304304304304304305304304304304305305305305305305305305305305306306306306306305306305304306306306306306306305305305304305304304304304304304303303303302302302302302302301301300301300301301301301301300300299300300300300300300300300300300300299300300300299299299299299299299299300300300299299299299298298298298297297297296296296296296295296296295295295295295295295295295295295295295295295296296295295295296296296296296296296297296297296297297297297297297297297297297297297297297297297297296297296296296296296297297296295295295295295294295294294293294293292292291291291289289289288288288288287287286287287287287288287288288288289289289289289289289290290289289290289290290290290290290290290290290290290290290291291291291291291291291291291291291291291291291291291291290291291291291291291291290291290290290290289289289289289289289288289288287287287287287287286286286286285285285285284283283283284283282282282281281281280280280281281281281282 999999302302303302303305304303303303302302302302999999999999999999999999999999999999999999999999999999999999999298300299300299299299299300300300300300301301301301301301301301301301302301300302303303304304304303303302302302302302302302303302301301300300301299299298298297296296296295297297298299298299298297298296297298297297297297299299299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297296297297299298299298298299299300300299299299299300299299299300300300299300300299299299298297297298299299299299299299299299299300299299299299298298300300300301301300300299299299299298299299299300300301301300300300299299299298296295295295295294295295295295294294295295295296295297297297298297298299298299299300300299297297298299298299300300300300301301300301300301301301302301302302302302301300301301300300300300301301300300300300301301301300300300301301301301301302302302302302302301302301301302302302302302302302302302302302302303303303303303303303303304304305305305305305305305304304303303304304303303303303303303304304304304304304304304303303303303303303303303303303303303303303303303303304304304304304304303303304303303304304303303304303303303303303303302302303303302302302303303303303303304303303304304304304304304305305304305305306306306306306306306305306306306306305305305305305304304304305305305304304304305305304304303304304304304304304304305305305305305305305305305305305306305306306307307307306306305305305306305305305305305306304305304304304304304304304303303302303302302302301301301301300300300300301301301300301300300300300300300300300300299299300300300299300300300299299299299299299299299300300299299299299299298298298297297297296296296296296295295295295295295295295295295294295295295295295294295295295295295295295295295296296296296296296296297296296296297297297297297297297297297297297297297296297297296296296296296296295295295295295295295295294294294294294293293292292292290290289289288288288287287287286287286287287287287287287288288288289289288288289289289289289289289289289290290290290290290290290290290290291291291291291291291291291291291291291291291291291291291291290290291291291291291290290291291290290290290289289289289289288289288288288288287287287286286286286285286285285285285284284283283283283282282282281281281281280280281281281281282 999999999304304302302305305302302302302302302301301301999999999999999999999999999999999999999999999999999999999999300299299299299299299299300300300301300300301302301301301302301302302301301302303303304305303303302302303302303302301301302301301300301300300300299298298297296295296296297297297297297297297296297297297298298298299299299299299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296296296297298298298296298298299299299300299299300300300299301301299300300300300300299300298299299299300298298298299300301302300300299298298298299298298300299299299300301299298298299299300299300300301301301301300300299299299299298296296295295294295294294294294294293294294295295296296297296297298298296298298298297297298999297299299299300300300301301300301300300300300301301301301302302301301301301301301301301301301301301300300301301301301300300300301301301301301302303303302302302302302302302302302303303302303302302302302303303302303302303303303304304304305305305305304304305305305304304305304304303303303303303304304304304304304304303304304303303304303303303303303303303303303303303303304304303304304304304304304304304303304303303304304303303303303303303302303303302302303303303303303303303303304304304304304304304304305305305305305305305305305305306306306305305305305306305304304305304304304304304304304305305305304304304304304304304304304304304304305305305305305304305305305305306306306305307307307306306307306305305305306306306306306305305304304304304304303303303303303302302302302301301301301301301300301301301300300301300300300300299299299300300300300300300300300300299299299299299300299299299300300300300299299299299299299298297297297297297296295295295295296295295295295295294294294294295295294295295295295295295295295295295295296296295296296296297296296296296297297297297297297297297297297297297297297297296296296296296295296296296297295295294294295295294294294294293293292292291290290289289288287287287286287286286286286287287287287287288288288288288288288288289289289289289289289289290290290290290290290290290290291291291291291291291291291290291291291291291291290291291291291291291291291290291291290290290290290290290290290289289289289289289288288288288287287286286286286286285285285284284284284283283283282283282281282282281281281281281280281281281282 999999999304304303303303302301301301301301301302301301301999999999999999999999999999999999999999999999999999999999299299299299299300299299300300300300301300302302302302302301301301301302302302303303303304304303304303303303302302301301301300300300300300299299300299298296297296296296297297298298298299298297298298297297299300300301298297297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296296297297297297296297298298299299299298298298299299298300298298301300298299300300300300300301300301301299299299300300300301299298297298298299299299299299299299299299299299299299300301300300300301301301301299300298299299298297296295294294294293293293293293293293294293294295295295295296296297297296296297295295999999999999299299300299300300299300300301301301300300300301300301301301300301301301301302301301302301301301301301301301300300301300300300301301301302302302301302302302302302302302302303303303303302302302302302303303303303302303303303303303304304304305304304305305305305305305304304304304303303303304304304304304304304304304304304304304303303303303303303303303303303303303303303303304304304304304304304303304303304303303303304304303303302302303303303303303303303303303304304304304303303303303303304304304304304304304305305305305305305305305305305305306305306306305304304304303304304304304304304304304304305304303304304304304304303303304305304305305305305305305305305305306306306306307307306306306305306306306306305305306305306305305304304303303303303303302302302302302301301301301301301300301301300301301300300300300300299299299299299300299300299300300300299299299299299299299299299299299299299300299299299299299299298298297298297297297297296295295295295295295295295294294294294294294294294294294294295294295295295295297295295295295296296296296296296296296297297297296297296296296297297297297296297297296296296296295295295295295295295295294294294294294294293293293293292291291290290289288288287287286286286286286286286286286286287287287287287288287287288288288288289288289289289289289289290290290290290290290290290291291291291291291291291290290291290290291290290290290290290290290291290290291290290290290290290290290290290289289288289289289288288288287287286286286286286285285285285284284284283283283283282282282281282281281281281281281281281281282282 999999999999304306305305303303301301300301301301300300300301999999999999999999999999999999999999999999999999999999999299299298299299300299300299299299299300301301301301302302302302301302303302303304303303304303303303303302302301301300300300299299299300299299299298297296296296296296296297298298299298299299298298299299299300300301300299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297298297298297297298298297297298297298298298299299299299298299300299299299299299299300299299300300299300300300300300299299300298298298298298299299299299299300299299299300300300301300299299300300301300301300300299299299296295295294294293293292292291291292292292293293293294295294294294295295296295296295295295999999999298299299299300299300299299299300300300300300300300300301301300300300300300301301301301301301301301301301301300300300300300300300300301301301302301302302302302303302302302302303302302303302302302303302303302303303302303303303303304304305304304305304304305305305305304304304304304303304303303304304304304304304304304304304304304303303303303303303303303303303303303303303304303304304304304303303303303303303303304304304303303303302303303303302303303303303303304304304304304304304304304303304304304304304304305305305305305305305305305305305305305305305306306304304303304304304304304304304304304304304304303304304304303304303304304305304304305305305304305306306306306306306306306306306306306305306306306306305305305304304305304303303303302303302302302302302302301301301300301300300300300300300300300300299299300300299299299299299300300301300300300299299299299299299299299299300300300300299299300299299300299299299298298298297297297296296295295295295295294295294294294294294294294294294294294294294294294295295295295295295295296296296296296296297296296296297297297296296296297297297297297296296296296296296295295295295295295295295295295294294294294293293293292292292291291290289289288287287286286286286285286285286286286286286287287287287287287288288288288288288288289288289289289289289289290290290290290290290290290291290291290290290290290290290291291291290290290290290290290290290290290290290290290290290290290290289289289289288289288288288287287286287286286286285285285285285284284284283283283283282282282281281281281281281281281281281281282282 999999999999999305305303300999300300300301300300300300300300300999999999999999999999999999999999999999999999999999999999299298298299300299299299298298299299299300300301301301302301302301302302303303303303303303303303302301301300300300299299299299298299299298298297298296296296296296297297298298298299298298297298298298300300301301300300999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298298297298297297297297297297297297298298299298298297298299299298298299298299298299299299299298299298301301301300298298298299299298299299299299300300300300298298299300301301300300300300300300300301300300301300299299296295294293293292292292291291290291291291291293293292292292294294294295295296297295296999999999999299300300300300299300300299299300299300300300300300301301301300300300300300299301300300301301301301300300300300300300300300300300300300300301302301301302302302302302302302302302302302302302302302302302302302302303303303303303304304304305305305304305305305305305305304304304304304304304304304304304304304304304304304304304304303303303304303302303303303303303303303303303303303304303304304303303303303303303304304304304303303302302303303303303303303303303303304304304304304304304304304303304304304304304304304304304304304304305304304305305304304304304304304304304303303304304304304305304304304303303304304304304304304303303303303304304304304304304305305305306306306306306306306306306306306306305305305305305305305304303304304304303302302302301302302301301301301300300300300300300300299299299300299300299299300300299299300299300300300300299300300299300299299299299299299299300299299299299299299299299299299299298298298297297297296296296295295295295295294294293293293293294294294294293293294294294294294294294295295295295295296296295295295296296296296296296296296296296296296296296296296296296296296296296296295295295295295295295295294294294294294293293293292292292291291290289288288287287286286285285285285285286286286286286286287287287287287287288288288288288288288288288288288289289289289289289289289289289290290290290290290290290290290290291290290290290290290290290290290290290290290290290290290289289289289289289289288288288288288287288287287287286286285285285285284285284284283283283283283282281281281281281281281281281281281281281281281282 999999999999999999303304999999999304300300300299300300300300300299299301999999999999999999999999999999999999999999999999299299298298299299299298298298298298299299300300301301301302303302303303303303303304304304303303302302301300299299300299299299298298297297297297298297297296297295296297298298297298299298298298299299302302301301300300999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298300299298297297295296297297297297296296297297298298297297298298298299297298300299300299300299299299301300300300300299299299299299299299300300299300300299299299299299301301301301300300300301301300300300301300301300299298296294293292292292291290289289290290290289290291292292293293293293295295297295999297296298999999999298299299299299299299299299299299299299300301300300299299300300299299300301300300300300300301300300300300300300300300300300300300300300301301301301301301302302302302302302302302303302302302302302302302302303303303302303302303303303304304304304304305305304305305304305305304304304303303303304304304304304304304303303303303303303303303303302303303303302302302303303303303303303303303303303303303303303303303303304304303303303302302303303303302302302303303303303303303303303304304304303303304304304304304304304304304304304304304303303304304303304304304304304303304303303303304304304304304304303303303304304304304304303304304304303304304304304304305305305305306306305306306305306306306306306306305305305304304304305304304303304303303302302302301301301302302301301300300300300300299299298298299299299300298300299299299299300299300299300299299299298299299298298299299299299299299299299299299299299299299299299299298299298297297297296296295295294294295295295293293293293293294293294293293293293294294294294294294294295295295295296296296296295295295296296296296296296296296296296296296296296296296296296295296295295295295295295295295295294294294293294293293293292292291291290289289288288287287286285285285285285285286286285286286286286286286287287287287287287287288288288288288288288288288288288289289289289289289289289289289290290289290290290290290290290290290290290290290290290290290290290290290289289289289289289289289288288289288288288287287287287286286285285285285285285284284284283283283283282282281281281282282281281281281281280280280281281281 999999999999999999999999999999999999999299300300999300301299299298298299301999999999999999999999999999999999999999999999299298298299299299299298298298298298299300300300300300301302302303302303303303303304304303302302301301301300300300300299299299298297297296298298297296297297296296296297297298298298298297298299300301302302302302302302999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301300301301298297296295295296296297296296296297297297299297298298298298298298299299298298299300300300300299299299299299299299299299299299300300300300300300300300300300301302301301301301301301301300300300300300301301300299298295294293293292290289289288289289289289290290290291291292292293294295297297999999299297296999298298299299299298298299299299299299299299299300300301301300300300300299299300299300299300300301301301300300300300300300300300299300300300301301301301302302302302302302302302303303303302302302303302303303302302302303303302303303303303304304304304304304305304305305305305304305305304304304304303304304304304304304303303303303303303303303303303303303302302302302302302302303302303303302303303303303303303303303303303303303303303303303303303303303302303303303303303304303303303303304304303303303304304304304304304304304304304304304304304304304304303304303304305304303303303303303304303304304304305303304303303304304303303303304305304304304305304304304305305305305305305305305305305305306305305305305305305305304304304304304303303303302302302302302302301301301301300300300299299299299299299298298298299299300299299299299299300300299299299299299299299298299299299299299299299299299299299299299299299299299298299298298298298298297297296296296295295294295294295294293292293293293293293293293293293293294294294294294294294294294294295295295295296295295296296296296295296296296296296296296296296296296296295295295295295295295295294294294294294294294294293293293293292292291291291290290289289287286286286285285285285285285285285285286285285286286286286286287287287287287288288287288288288288288288288288288288288288288288288288288288288288289289289289288288289290289290289290290290290290290290289289290290289289289289289289289288288288288288288288287287287287286286285284285285285285284284284284283283283283282282281282281281281281281280280280280280280281281 999999999999999999999999999999999999999301999999999999302300298298298299299300999999999999999999999999999999999999999999999298298299299299299297298298298298297299299300301301301301301302301302303303303303303303302302301301300300300300300300299299299297297297298297297297297296296295999999301300298298297298299300301302302303305305303304999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302302301301300296296295295295295295296297296296296297295297298297298298298299298299299300299298298299299299298299299300300300300300299299300300300300301300300301301302303303302300301301301302302302301300300300300301299299298297294294293291288288288288288289289291289290288290292292292292292292293999999299300299298298299298298298299299299299299299299299299298299299299299300300299300300300299300300299300301301301301301300300300300300300300300300300300300300300301301301302302303302303302303302303303303303303303303303303302302303302303303303303303303303303304304304304305305304305304305305305304304303303304303304303303303303303303303303303303303302303303303303302302302302302302302302303302302302303302302303303303303303303303303304303303303303303303303303303303303303304304304304304303303303303303303303303303303304304304304304304304304304304304304304304304303303303303304305305303304304304304304304305304305304303304304303303303303303304303303304304304304304305305305305305305305305305306305305305305305305305305305304304304304304304303303303302303302302301301301300301300300300299299298299300299298298298298299299299299299299299299300299299299298299298298299298298299299299299298299299299299299299299298298299299299298298298298298297297296296296296296295295295295294293293293293293292292292293293293293293293293294294294294294294294295294295295295295295295295295296295295295296295296296296295296296296296296295295295295294294294294294294294294294293293293293293293292292291291291291290289288287286286286285285285285285285285285285285285285285286286286286286286286287287287288287287287287287287287287287287288288287287287286287287286286287286286288289289289289289289289289289289289289289289289289289289290289289289289289289288288288288288288288288287287287287287286285285284284284284284284283283283282283282282282281281281281281281281280280280280280280280281281 999999999999999999999999999999999999999305999999999303301300300300298298298298298299999999999999999999999999999999999999999298298298299299298297297298298298299299300300301301302302302302302302303303302302302303302302301301301300301300300300299299299297298298298298298298298297297999999999999302298300299300299302301305305304308307304999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302300300296295295296297296294295295296297297296296297299299298299299299298299298301300300299299300300299299300300301300301300300300300300300301300299300299299301302302303302302301302302302302303302300300300300300298297298296295292291289288288288288287288288289288289290290292291292292293292292999298299300300300299299298298298299299299298299299299299299299300300300300299299300300300299299299299299299300300300301300301301300300300300300300300301302301301300301302301303303302303303303302303302303303303303303303303303303303303303303303303303303303303304304304304304304304305305305305305305305304304304303304304303303303303303303303302303302303303303303303303302303303303302302302302303302302303303303303303303303303303303303303303303303303303303303303304303303304304304304304304304304303303304304303303303303303304304304304304303303304304304304304304304303304303304304305305305304304304304304304304304305305304304304303303304303303303303303303304304304304304304305305305305305305305305305304304305305305305305305304305305304304304304303303302302301301301300300300300300300299299299299299299299298298299298298298299299299299299299299299299299299298299298298299299299299299299299298299299299299299298298299298298298298297298298297297297297296296295295295295295295293294293292292292293292292292292293293293293293293294293294294294294294294294294294295295295295295295295295295295295295295296295296296296296296295295295295294294294294294294294294294294293293293293293293292291291290291290289288288287286286285285285285285284284285285285285285285286286286286285285286286286287287287287287287287287287287287287287287287287286286285285285285284285286287287287288289289289289289289289289289289289290289289289289289289289289289289289288288288288288288287287287287287286286286285284284284284284284284283283283282283282282281281281281281281280280280280280280280280280280281 999999999999999999999999999999999999999999999999999301301300300300299299299299298299298999999999999999999999999999999999999999299298298298298297297297297298299299300300300300302302302301302302303302303303303302301302302302301300300300300300299299299299299298299298298298298298299999999999999999301301304302303307304305309309306306305999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298298297296296294296296295294294295296297296297297298299299299298299299299299300300300300300300301300300299300300302301300300299300300300299300299299300301301304302301302302302301301300301302301300299298299298293294296295293290289289288289288288288290289289288289290290290291292291292291999999999999299300300300300299298298299300299299299299299299300299299299299299299299299299299299299298300300299300300300300300301301301300300300300300300300301301300300301301301301303302302302302302302302302302303303303303303303304303303303303303303303303303304304304304304304304305305304305304305305304304304304304304304303303303303303303303303303303302302303303303303303303303303303303303302302302303303303303303302303303303303303303303303303303303303303303303303303304304304304304304304304304304303303304304303303303304304304304304304304303304304304304304304304304304304304304305305305304303304305305304304303304304304303303304303304303304303303303303303304304304304304304304304305305305305305304304304304305304305305304304304304305304304304303302302301301301301301300300300300300299299299299299299298299298299298298299299299299299298299298299299299299299299299299299299299299299299299299298298299298299298298298298298297298297297297297297297296296296296295294294293293293293293292292292292292292292292292292293293293293293293293293293293294294294294294294295295295294295295295295295295295295295295295295295295295295295294294294294293294293293293293293293293293292292292292291291290290289289288287287286285286286285285285285284284284284284285285285285285285285285285286286286286287287287287287287287287287287287286286286286285285284284284283283284284285287287288289289289289289289289289289289289289289289289289289289289289289288288288288288288288288287287287287286286286285285284284284284284284283283282282283282281281281280280280280280280280280280280279279279280280280 999999999999999999999999999999999999999999999999999300301300299298299299299299298297297297297297999999999999999999999999999999298298299299299298297298298298299300300300299301302302302302302302302302303303303302301301301301301300300301301300299299299299299298298298298299300300300999999999999999999999999999999999999306308309308306306999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296295296295294295296296296295294295296296297297298298298299299299299299299299300300300300300300299299300299300300300300300300300300299300300300301301301302302301301302302300300301301300300300300298296297999999294294291289288289288288288288288290289289289288290290291291290292292292290999999999999297299300299299298297298299300300300298299299299299299299299299299299299299299299299299299299300300299300300300300300300301301301301300300300300301301301302301300302303302302302302302300302302302302302303303303303303303303303303303303303303303303303304304304303303304304304304304304304304304303303304304304304303303303303302303303303303303303302303302302303303303303302302303302302302302302303303303303303303303303303302302302303303303303303303303303304304304304304304304304304304304303303303303303303303303303304304304304304303304304304303303304304304304304303304304305305306304304305304304304304303303303303304304304304303303303303303303303303303303303303303304304304304304304304304304304304304304304304304304304304303305304304303302302302302301301301300300300300300299299299299299299299298298298298298298298298298298299298298298298298298298298298298298298298298298298298299298298299298298298298298297297297297297297297297296296296296295295294294293293293293292292292292292292292292291292292292292292292292293293293293293293293293293294294294294294294294294294294294294294294294295295295295295295295295295294294294293293293293293293293293293292292292291292291291291291290290289289288287287286286286285284284284284284284284284284284284285285285285285285286285286286286286286286286286286287287286286286286285285284284284283283283283283283283283284287288289289289289289289289289289289289289289289289289289288289289288288288288288288288288287287287286286286286285285285285284284283283283283283282282282281281281281280280281280279280280279279279279279279279280280 999999999999999999999999999999999999999999999999999999999300999999299298299300299299298297297297297999999999999999999999999999298298299299299298298298298299299299299300300300301302303302302302303303303302302302302302302302301301301301301300300299299299298298298298298298300999999999999999999999999999999999999999999999999307307306999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296295295296294295294293294294293296296297299298299299300298299300300299298299299299299299298300299299299300299300300301300300300299299299300301302302302301301301302303301300301301300299299299299296999999999999292288288288289289287288290290290288289289289289289290291291292292291999999999999999297297298297297297999299299300301300300299299299299299299298299298299299299299299299299299299300300300299300300300300301300300300300300300300300300300302301301302302302303301303302302302303303302302303303303303303302303303303303303303303304304304303303303304304303304304304304304304304304304304304304304304304304303303303303303303303303303302302303302302302302303303303303302302303303302303302302302303303302303303303302302302303303303303303304303303304304304304304304304304304304304303303303303303303303304304304304304304304304304304304304303303304304304304304304306306306306306305304304304304303303303303303304304304304304303303303303303302303303303303303303304303304304304304304303304304304304304305304304303304303304304304304303302302302302301301300300300300300300299299299299299299298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298297298298298298297297297297296296296296296296296295295295293294294293293293293292292291291291292292292291291291291291292292292292292292293292292292292293293293294294294294294294294294294294294294294294294294294295295295294294294294294293293293293292293292292292292291291291291291291291291291290289289288288287287286286286285284284284284284284284285285285284285285284284285285285285285285285285285285285286285286285285285285285284284284283283282282282282282283282282283287288288289289289289289289289289289288289289289289288288288288288288288288288288287288288287287287286286286286285285284284284284283283283283283282282282281281281281280280280280280279279279278279279279279279280279 999999999999999999999999999999999999999999999999999999999999301301999999999299300298297297297296296296999999999999999999298999999298299299299299299298299299300299300300300301301302303302303302303303303303302302302302302302302301302301301300300300300299297297298296297297298999999999999999999999999999999999999999999999999999999999309999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295296295291291291292293294296297297298299299299300300300300299298298298297297298298298298298298299299298300300301300300300299299298300300301301301301301302302303302300301301300300300298297296999999999999288287287288289289288288290288290289289289289290288290290292292293292999999999999999295296296999999999999298300301301301300300300299299299299299299299299299299298299299299299300300299300300300300300300301301300301300301300300300301301302302302301301302304303304303302303303303303303303303303303303303303303303304304304304304304303303303303303304303304304304304304304304305305304304304304304304304304303303303303303304304303303303303303303303303303303303303303303303302303303302303303303303303303303303302303302302303303304304303304304304304304304304304304305304304304304303303303303303304304304304304305305304304304304304304303303304304304304303304306306306306306305304304304304304304304303304304304304304304303303303303303303303303303303303303304304304304303304303303304303304303304304304303303304303304304304303303303302302302301301301300300300300300300299299299299299299298298298298298298298298298298298298298298298298298298298298298298298298298298298298298297297297298298297297296296296296296295295296295295294294293293293293293293293292292291291291291291291291291291291291291291291291291292292292292292292292293293293293293294294294293294294293293294293294294294294294294294294294294294293293293293293292292292292291291291291291290290290290291290290289289288288287287287286286285284284284284284284284284285284284284284284284284285285285285285285285285285285285284284285284284284284284283283282282282282282282283283283283282282285287288289289289288289289289289289288288288288288288288288288288288287287287288287287287287287287286287286286285285285285284284284283283283282282282282282281281281280280280280279279279279278279278279279278278279 999999999999999999999999999999999999999999999999999999999999999300999999999300301300298297296296296297999999999999999999298999298298298298299300299298299299300299300301301301302302302302302303303303303303303303302302302302302302302302300300299299298299298297296296296296298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298294293292292292292294296296297298299299300300299299300299299298296295296297297297296296297297298298299299301300300299298298297298301301301300299300301301302301299300299300299298296999999999999999288288287287288289288288288288290288287288289289288289288290291292292292999999999999999294296999999999999999298299300301301300300300299299300299299299299299299299299299299299300300299299299300300300300300300301300300300301300300301301302301302302301301301302302303302303303303303303303303303303303303303303303303304304304304304303303303303303303303303303303304304304304304304304304304305304305304304304303303303303303303303303303303303302303303303303303303303302302302303303302302303303303303303303303303303303302302303303304304304304304304304304304304304305305304304304304303303303303303303304304304305304304304304304304304304304304304304303304304304304304306306305305304304304304303303303303304304304304304304303303303302302302303303303303303303303303304304304303304303303303304303303304304303303303303304304303303303303302302302302302301300300300299299299299299298299299298298298298298298298298298298297298297298298298298298298298298298298298298298298297297297297297297297297297296296295295295295295295295294294294294293293293293292293292292292292291291291291291291291291291291291291291291291291292292292292292292292292293293293293293293293293293293293293293293293293294294294293293294293293293292292292292292292291291291291290290290290290290290290289289289288288287286286286285285284284284284283284283284284284284284283283284284284284284284284284284284284284284284283283283283283283283282282282282282282282282282283283283284284283286286287288288288289288288288288288288288288288288288287288288287287287287287287287287287287287287286286286286285284284284284283283283283283283283282282281281281280280280279279279278278278278278278278278278278278 999999999999999999999999999999999999999999999999999999999999999301999999999299301299297297297297296296296295294295296296296298298297298299299299299299299300301300301301301302303303303303303303304304303303304304303303303303303303302301300300299299298298296297296296297296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294293293293293294295296298298299299300299299300300299298298293999999999999295295295296297297297298298299299299299298298298299300301300300299301301300301301299299299299298296293999999999999287287287287287288289288288287288288288288288290290289289290290292292290999999999999999300296999999999999999999299300300301300300299300300299300300299299299300299299299300299300300300300300299299300300300300300301301301300300300301301301301301301301301300302302301302302302303303303303303304303303303303303303303303303304304304304303303303304304303303303303304304304303304304304304304304303304304304304303303303303302303303303303303303303303303303303303303303303303303303303302303303303303303303303303303303303303303303303303304304304304305304304304304305305305305304304304304303303303303304303304304304304304304304304304304304304304304304304304304304304305304304304304305304304304304304303303303304304303303303304303303302302302302302302302302303303303303303304304303304304303303303303303303303303303303303303303303303303302302302302302302301301301300299299299298299299299298298298298298298298298297297297297297297297297298297297297297297298298298298297297297297297297297296297297296296295295295295294295294294294294293294293293293292292292292292291292291291291291291291291290290290290290291291291291291291292292292292292292292293293293293293293293293293293293293292293293293293293293293293293293292292292292292291291291290290290290290290290290290290289289288288288287287286286286284284284283283283283284283283283283283283283283284284284284284284284284284283283283283283283283283283283283282282282282282282282282282282283283284284285286285285287288288288288288288288288288288288288288287287287287288287287287287287287287287287287286286286286286285285284284284283283283283283282282282282281281281281280279279279279278278278278277278278277277278278278 999999999999999999999999999999999999999999999999999999999999999999999999999297297298295296297296296295295295295294294295296298298999999999299300300299300300301301302302302302303304304304303304304304304305304304304304303303302302300301301301300299298297297297296297297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294294294293294295297298297297298298299299299298298298297294999999999999999999294294295295296296297298299298299300299298298300300299299299299300299299299299298298297297999999999999999999286287287287288288289288288288289289289289289291291292290291291292292291999999999999299300298298999999999999999299300300300300299300300300299299300300299299299299299299300299300299299299300300299299300300300300300300301300300301300301301301301301302301301302302301302302302303303304304303304304303304304303303303303303304304304304303304303303303303303303303303304303303304304304304304304304304304304304303303303303303303303303303303303302303303303303303303303303303303303303303303303303303303303303303303303303303304303304304304304304304304305305305305305305305305305304304304303303303303304303304304304304304305304304304304304304304304304304304304304304304304304304304304304304304304303304304304304304303304303303303303303302302302302302302302302302303303303303303304303303303303303304304303303303303303303303303303303302302302302302302302301301301300300299299299299299298298298298298298298298298298297298297297298298298297297297297297297298297297297298297297297297296296296296296296295295295295295294295294294294293293293293292292293292292292292291291291291291291291291290290290291290290291291291291291291291291292292292292292292292293292292292292292292293292292292292292293293292292292292292292292291291291291291290290290290290290290290290290290289289288288288287286286285285285284284284283283283283284283283283283283283283283283283283283284284283283283283283283283283283283283283283282282282282282282282281282282282283284284286286287287287287288288288288288288288288287287287288287287287287287287287287287287287287287287287286286286286286285285285284284284283283283282282282282282281280280280280280279279278278278278278277277277277277277277277277 999999999999999999999999999999999999999999999999999999999999999999999999999999297999999999295296296999295296295295296999999297999999999999300299299300300301302301303303303303304304304304304304305304305304304304304304303301300299300300300300299299299298298297297298296299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294295295295296297298297297298298298298298297297297296293999999999999999999999296296295999297298298298298298299298297296297297297297297297298298298299298296296296999999999999999999285286287287287288288288288289288289288289288290291293293291291292292293292999999999301300298999999999999999999299299299299299299300300300300300300300300299299299299298298299299299299299298299300300299299300300300300300301300301300300301301301301301302302301302301302301301301302303303304303304303302303303303303303304303303304304304303304303303303303304303303303303303303304304304304304305304304304304304304303303303303303303303302303302302303303303303303303303303303302302302303303303303302302302303302303302303303303303303303304304304304304305305305305304305305305305304304304304304303303303303304304304304304304304304304304304304304304304304304304304304304304304304304304304304303304303304302304304303303303303303303303303302302302302302302302302302302302303303303303303304303303303303303303303303303303302302303302302302302302302302302301301301300300299299299299299299298298298298298297297299298298298298297297297297297297297297297296297297297297297297297297296296296296296296295295295295295295295294294294294294293293293292292292292292292292292291291291291291291291291290290290290290290290290290290291291291291291291291292292292292292292292292292292292292292292292292292292292292292292292292291291291291291290290290290290290290290290290290290289289288287287287286286285285285284283283283283283283283284284283283283283283283283283283283283283283283283283283283283283283283283283283282282282282282282282282282282282282283283284285285286286287287287288288288288288287287287287287287287287286286286286286287287286287287287287286286286286285285285285284284284284283283283282281281281281281280279279279279278278278278277278277277276276276276277277277276 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297296295294295296296296999297297298299999999300299300300301302302303303304303304304303303304304304305304304304304305304304304302299298299300301299299299299300299299298296297295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294295296296297298297296297297297297297295296295295999999999999999999999999999999999999999999999999999999999297296294295297297296296297296295296297295294294999999999999999999289287287287287288288288289289289289289289289289290292292291293292293293293292293999299298297999999999999999999297298299299299299299300300300300300300300300300300299298298298298299299299299299300300300300300300300300300300300300300300300301301300301302302302301301301301300301301301302303303303303303303303303303303303304304304304304304304304304303303303304303303304304304304304304304304304304305304304304304304304303303303303303303302302303303303303303303303303303302302302303303303303303303302302303302302302302303303303303303304303303304304304304304305305305305305305304304304304304303303303303303303304303304304304304304304304304304304303303304304304304304304303304304304303304304304303304303303303303303303303303303303303302302302302302302302302301302302302302302303302303303303303303303303303302303303302303302303303302302302302302302302301301301301300299299298299299298298298297298297297298298298298298298297297297297297297297297297297296297297297296297297296296296296296296295295295295295295295294294294294293293293293293292292292292292291291291291291291290290290290290290290290290290290290290290290290290291291291291291292291292292292291291291291291292292292292292292292291292291291291291291291291291290290290290290289289290290290289290290289289288288287287286286285285285284284284283283282283283283284284283283283283283283283283283283283283283283283283283283282282282283282282282282282282282282282282282282282282282282283283282282283285287287287287287287287287287287287287287287287286286286286286286286286286286286286286286286286285285285285284284284283283283283282282282281281281280280279279279278278278277277277277277276276276275276276276276276 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296296295999296296295296296297999297297300999297300301301301304303304304304304304304304304305303304305305304304304305304304303302300300300300300300300299300300300299298297298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298299299999999999999999295295294295295296297298297297298297296296999295295296999999999999999999999999999999999999999999999999999999999999999999296999999999999999999999999295297297999999999999999999999289289288288288288288289290290290289289289289289289290292293293293293293293292293292290999293295999999999999299299299300299299299299299299300299300300300300300300300299299299298299299300300300300299299299300300300300300301300300300301300301301301300302302302302302302302301301301302302302303302303303304304303304303303303304304304304304304303304303303304304303303303304304304304304304304305304305305304304304304304303303303304304303303303302303303303303303303303303303302302302302303303303303303303303303303302303303303303303303303303304304304304304303304304304305305305305304304304304303304303303303303303303303304304305304304304304304304304304303303303303303304303303304303304304304304303303304303303303303304304303303303303302303302302302302302302302301302302302302302302302303303303303302303302302302303303303303302302303302302302302302303302301301301301300299299298299299298298297297297297298297298298298298297297298297297297297296296297297296296297296296296296296295296296296295295295295295295294294294294293293293293293293293292292292291291291291291291291291290290290290290290289289289289289289290290290290290290290291291291291291291291291291291291291291291291291291291291291291291291291291291291291290290290290290289289289289290289289289289288288288287287287286285285285285284284284284284283283283283283283283283283283283283283283283283283283283283283283283283283282282282282282282282282282282282282281281282282282282282282281281281281281285286287287287287287287287287287287287287286286286286286286286286286286286286286286286286286285285285285285285284284283283283283282282281281280280280280279279278278278277277277277276276275275275275275275275275276 999999999999999999999999999999999999999999999999999999999999999999999999999999295295296999999295295294999296295294295296296297296296298298298299300302302302303304304304304304304304304304304304305305304304304303303303303302301301300300300301299300300301301299299299299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297298297297298297297299297297297296296296297295297298297297297297296296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288289288288289289289289290290289290289289289289289289290293293294293293293294294292292289999999999999999999296297299300300299300299298298298299299299300300299299300299299299299298299299300299300300299299299299299299300300299300300300301301301301301301302302301302302302301301302301302302302303303303303304303303303304303303304304303304304304303303303303304304303303303304304304304305304305304305305304304304304304304304303304303303303303303303303303303303303303303303302302303302302303302303303303303303303303303303303303303303303304303303303303304304304304304304305305305304304304304304304303303303303303303303303303304304304304304304304304304304303304304303303303303303304303304304303303304303304304303304304303304304303303303303303302302302302302302302302302302302302302302302303303302303302303302302303303303303303302303303302302302302303303303302302301300300300299299299298298298297297297297298297297298298298297296297297297297297296296296296296296296296296296296296296296295295295295295295295295294294294294293293294293293292292292292292291291291290291290290290290290290289289289289289289289289289289289289290290290290290290291291291291291291291291291291291291291291291291291291291291291290290290290290290290290289290289289289289289289289288288288288287287287286286285285285284284284284283283283283283283283283283283283283282283283283283283283283283283283283283283282282282282282282282282282282282282282281281281281281281281282282282283284285287287287287286287287286286286287287287286286286286286286286286285285286286285285285285286285285285285284284284284284283283282282282281281281280280280280279279279278277277277277276277276275275275275275275275275275 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295295294294294295294295296297296297297298299300300300301302302303304303304304304304304304305305305304304304303302303303303303301301301301301301301301300300300301301302300298298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297296297297297297297298298298298297296295295296296297297296296296296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287289288289289288288289289289288289290289289289290291291292291292292293294294294292289999999999999999999999999297296297298299299297297298298298298298298298299298299298298298298297297297298298298299299299299299299299300299300300300300301300300300301301300301301300301300300301301301302302302302302303303303303303303304303303304304303303304304304303303303303303303303304304304304304304305304304304304304304304304303303303303304303303303303303303303303303303302303303303302302302302303302303303303303303303303303303303303303303303303304304304304304304305304305304305305305304304304304304304303303303303303303303303303303303304303304304304304304304303303303303303303303303303303304304304304303303303304303303304303303304303303303303303302302302302302302302302302302302303302303302302303303302303302302302302303303303303302302303303302302302302303302302302302301300299300299299298298298298297297297297297297297297297297297297297297296297296296296296296296296297296296296296296296295295295295295295295294294294294294294293293293293292292292292292291291291291291291290290290290290289289289289289289289289289289289289289289289290290290290290290290290290290291291290291290290290290290290290290290290290290290290290290290289289289289289288288288289288288288288288287287287286286286285285284284284284283283283283282283282283282282282282282282282282283283283283283283283283283283283282282282282282282282282282282282281282282282282282282283283283284285286286286286287286286286286286286286286286286286286286286286285285285285285285285285285285285285285284284284284284284283283283283282282282281281280280280279279279279279279278277277277277276276276275275274274274274274275274 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292999999292294295296295296297297296297297298300300300301301302303303303304304304304304304305305305304304304303303303303303302303302301301301302302302301301301301301301301298298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294295295296296297296297297297298299297297297296295296296296296295294294293999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286288289289290289289289287289289289290290290290290290291289292290291292291291292291292289999999999999999999999999999999999297298298298297297297296297298297298298298298297297298297296296296297297299299299299299299299300300299300299299300300300300300301301301301300300300299300301301300301302302303303303303303303302303303303303304304304304304303303303303304303303303303303304304304304304305304304304304304304303303302302303303303303302303303302303303302303302302302302302302303302302302303303303303303303303303302303303302303302303303303303303303304304304304304305304305304304304304304303303303303303303303302303303303303303303303303304304304304303303303303303303303303303303303303304303303303303303303303304304303304303303303303303303303302302303302302302302302302302302302302302302302302302302302302302303302302303303302303302302303303302303303303302302301301300299299299298298298298298296297297297297297297297297297297296296296296296296296296296296296297297297296296296295295295295295295294294294294294294294294293293293293293292292292291292291291290290290290290290290289289289289289289289289288288288288289289289289289289289289289290290290290290290290290290290290290290290290290289289289289289289289289289289289289289289289288288288288288288288287287287287286286286286285285285284284283283283282283282282282282282282282282282282282282282282283283283282282282282282282282282282282282282282282282282282282282282282283283283283284284285285286286286286286286286286285285285285285285286286286285285285285285285285285285285285284284284284284284284284284284283283283283282282282281281281280280280280279279279279279279277277276276277276276275275274274274274274274274274 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288999999999294295295297296296298297296297299300300301301302303304304304304304304304305305305305305304302302303303304303303304303302302302303303302301301302301301301300298299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294294295296296296296297296296298298298297297296296296296296296295292999999999999297297297297297999999999999295294294294294294999294293293293294293293294293293293291999999999999999999999999999999999999999288288290290290290290289290289289289288289289290290290288289289291291292292291290291293291290290999999999292293999999999999999999298298297297297296295297297297297298297297297297297298297296296296297298299299299299299299299299299298299299300301300300301301300301300300300300299299300300300300301302301302302302302303303303303303303304303304304304304304304304303303303303304303304304303304304304304303304304303303303303302302303302303302303302302302302303302302303303302302302302303303303302302302303303303303303303303302303302303303303303303303303303304305304304304304304304304304304304304303303303303303303303302302302303303303304304303304304303303303303303303303303303303303303304303303303303303303303303304303304304304304303304303303303303302303303302302302303302302302302302302302302303302302302302302302302302302303302303303302303303303303303302302302301301300300299299299298298298298297297297297297297296297297296296296296296296296296296296296296296297296296296296296296296295295295295295294294294294294294294293293293292292293292292291291292291291290290290290290290290289289289289289288288288288288288288288288288288289288289289289289289289289289290289289289290290289289289289289289289289289289289288289288289289288288288288288288288287288287288287287287286286286286285285285284284283283283282282282282283282282282282282282282282282282282282282282283282282282282282282282282282282282282282282282282282282282282282283283283283284284285285286286286286285285285285285285285284284285285285285285285285285285285284285284284284284284284284284284284284283283283283282282282282281281281280280280280279279279279278278277277277276276276276275275275275275275275274274274274 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294293999999999999999296296297297298297296296297299300301301301301303303304304304303304305305305305305304302303303304304304303304303305304304304302302301301302302301301300300298297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294294294295295295296296296296296297297298297297296296296296297296296293999999999999297298298298297297297296296294295295294294294295295294295296294294293293294293293292292999999999999999999999999291291289290289289290291291291290289289290290290291291288289288288289289289290290292291291292292291291291290289999999292292292293291289999999297297297296297296296296297296295295296296297297298299298298297297298298298299299299299298298299299299299300300300301300301301301300300300300300300300301300301301301301302302301302302303303303303304304304304304304304304304304304304303304304304304304303304304304304304304304304303303303303303303303302303303303302302302303303302302302303303303303303303303304303302303303303303303303303303303303303303304303303303303303304304304304304304304304304304304304304303303303303303303303303303303303303303303303304304304304304304304303304303303303303303303303303303303303303303303303303303304304304304304304304303303303303303303303303303302302303302303302302302303303303303302302302302303302303303302303303303303304304304303302302303302301302301300300300299298298298298298297297297297297297297296296296296296296297296296296296296296296296296296296296296296296296295295295295294294294294294294293293293293293292292292292292292292291291291291290290290290290290289289289289288288288288288288288288288288288288289289289289289289289289289289289289289289289289289289289289289289288288288288288288288288288288288288288288288288287287287287286286287286286285285285284284284283283283283282282282282282282282282282282282282282282282282282282282282282282282282282281282282282282282282282282282282282282282282282283283284284284284285285285285285285285285285285285285285284283283285285285285285285285285284284284285284284284284284284284284283283283283283282282282282281281281281280280280279279279279278278277277277277276276276276276276276275275275275275275274274 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298297297298297296296298299300301301301302302303303303303304305305306305304304302302303303305304304304303303303304304303301302302301301302302301300299297297298296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294294295295295295296296297296297297297298297297296296297296297297293293999999999299299298298299297297297296295295296296295295295295296295296296296296295295295294294294293292290290290291290290290290290289289289289289290290290289289290290290290291291289289289288288289291290291291291295293292293295295292291999999291293293294294293293293294294296296295296296296297297295294294296296296298298298298298298298299299299299298298299298299299299299299300301300300300300301300300300300300300300301301301301300301301301302302303303303303304303304304304304304304304304304304304303304304304304304304304304304304304304304303304303303303303302303303303303302303303303303303302303303303303303303303303303303303303303303303303303304303303303304303304304304303303303303303304304304304304304304304304304304304303304304303303303303303303303303303303303303304304304304304304304304304304304303304303303303304303303303303303303304304303304304304304304304304304303303303303303303303303303303303303303302303302302303303303302303303303303303303303302302303303303304304304303302302302302302301301300299299299298298297297298297297296296297297296296296296296296297297296296296296296296296296296296296296296296296295295295295295294294294294294293293293293293293292292291291292291292291291291291290290290290290290289289289289289289288288288288288288288288288288288289288288289289289289289289289289289289289289289288288288288288288288288288288288288288288287287288288288288288288287287287286286286286286285285284284284283283283283282282282283282283283283282282282282282282282282282282282282282282282282282282282281282282282282282282282282282282282282282282283283284284284284285285285285285285284284284284284284284284284284285285285285285285285285284284284284284284284284284284284283283283283283282282282282281281281280280280280280280279279279278278278277277277277277276276276276276276276275275275275274274 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297297297296296296298298300301301301301301302302303303303304306305301301302302303304304304304303304303303304304303303303303302302302303301300300299299300300297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296294294294295296295296296297297296296298300298298297297297297295293999999999301300299299299299299299298297297296297297297296295296296295296297297297297297297296296295294294293292293291290290289289289289288289289290290290290290289290290287291289289288289289288288289289291291292291291290292294295295294292999999292293293293294295294294293293293295295296296296296295295293293293295296296298297297298297299299299299298297297297298299300299299299299300300300301300300300299300300300300300300301300300300301301301302302302303303303304303304304304304304304305305305304304304304304304304304304304304304304304304304304304303303303304303303302303303303303302302302303303303303303303303304304304304304304303303303304303303303303303303303303304303303303303304304304304304304304304304304304304304304304304304304304303303303303303302303303303304304304305305304304303304304304304304304303304304304303304304303303304304304304304304304304304304304304304304303303303303303303303303303302303303303302303303303303303303303303303302303303303302303303303303303304303303303303302302302301301300299299298297297297297297296296296296296296296296296296296296296296296296296296296296296296296296296296296296295296296295295295294294294294293293293293293292293292292291291292291291291291291291291290290290290290289289289289289289289288288288288288288289288288288288288288288288288288289288288288288288288288288288288288288288288288288287288288287287287288287287287287287287287287287286286286286285285285285284284283283283283282282282282282283283282283283282283283282282282282282282282282282282282282282282282282282281282281281281282282282282282282282282283283283284284284284284284284284284284284283283282282283284285285285285284284284284284284284284284284284283283284284283283283283283283282282282282282281281281280280280280280280280279279279278278278278278277277277277276276276276276276276275275275275 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297297298296296297297298298300301301301302302302303303304303303302301303304302303304305304304303303303304305303304304304302303303302302302302300300300301302298302999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296295295295295295296296296297296296297298298299300298297297296295293293999999300301300299300300300299299298299298297297296296296297297297297298299299298299299297297295295295294293293292290289289289288288287288289290290290290289290290290289289290288289290290289292290290291293294291291291293294293294293291999999293297294295295294293293292292293294295295295296295294296293293292294294295296296296295295297296299299298297297297298299299299299299299300299300300301300300300300300300300300300300301301301301301301301301302303303304303303303304304304304304305305305304304304304304305305305305304304305305304304304304303303303303303303303303303302303302302302303303303303303304304303303304304304304304304304303303303303304304303304303304304303304304305304304305304304303304304304305304304305305305305304304304304304303303303303303303304304305305305304304304304304304304304304304304304304304304304304304304304304305304304304305305304304304304304304304304304303303303303303303303303303302303303304304304304304303303303303303303303302303304304304303303303303303303302302302301301300300298298298297297297297296296296296296296296296296295296296296296296296296296297296296296296296296296296295295295295295295295294294294294293293293293293292293292292292292292291291291291291291291290290290290290289289289289289289289289288289288289288289288288288288288288288288288288289288288288288288288288288288288288288288288287287287287287287287287287287287287287287287287287287286286285286286285285284284283283283283283282282282282282282283283283283283282283282282282282282282282282282282282282282281282282282281281282282281281282282282282282282282283283283284284284284284284284284284284283282283283284284284284284284284284284284284284284284283284283283283283283283283283283283283283282282282282282282281281281281281281280280281280279279279279278278278278277277277277276276277276276276276276275275