2021 9 19 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 73 75 77 77 76 75 74 74 74 75 75 76 76 76 74 71 67 64 63 63 61 57 57 55 54 54 55 52 55 55 56 57 55 57 57 58 58 57 58 60 62 63 65 66 66 66 66 67 68 69 70 70 70 72 74 75 76 79 81 83 83 84 81 82 83 82 81 84 85999999999999999999999999999999999999999999999999999999999999999999999 98 97 96 96 95 95 94 94 93 92 92999999999 95 96 95 95 94 93 92 93 94 95 97999999999 98 99 99 98 97 96 96 95 95 94 94 94 93 93 92 92 91 91 90 89 88 87 86 85 85 84 83 83 83 84 85 86 87 87 87 87 87999 88 88 88 88 88 89 90 90 91 92 92 93 93 94 95 95 95 95 96 96 96 96 96 96 96 96 96 96 95 95 95 95 95 95 95 95 95 94 94 94 94 94 94 94 94 94 94 94 95 95 95 95 95 95 95 96 96 96 96 96 96 96 97 97 97 97 97 97 98 98 98 98 98 99 99 99 99 99 99 99 99 99 99 99 99 99 98 98 98 98 98 98 98 98 98 98 98 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 60 61 71 72 73 73 73 74 70 70 71 71 72 73 73 74 73 69 64 62 60 59 60 59 59 56 54 53 51 55 53 54 55 56 56 55 56 56 57 57 57 59 61 62 63 64 65 65 66 67 67 68 70 71 72 73 75 76 79 79 81 81 83 84 84 82 83 83 83 84 84999999999999999999999999999999999999999999999999999999999999999999101100 98 97 97 96 96 95 95 94 94 93 92999999 92 92 92 92 92 91 91 90 91 92 93999999 95 96 96 96 97 97 96 96 96 96 96 95 95 95 94 94 93 93 92 92 91 90 89 88 87 86 86 85 84 84 84 84 85 85 85 86 86 86 86 87 87 88 88 89 89 90 91 92 93 93 94 94 95 95 96 96 96 96 97 97 97 97 97 97 97 97 97 97 96 96 96 96 96 96 96 95 95 95 95 95 94 94 94 94 94 95 95 95 95 95 95 95 95 96 96 96 96 96 97 97 97 97 97 97 97 98 98 98 98 98 99 99 99 99 99 99 99 99100100 99 99 99 99 99 99 99 99 99 98 98 98 98 98 98 98 98 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 97 97999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 60 66 69 71 72 71 72 70 68 68 70 70 70 70 70 70 67 63 60 59 57 55 55 56 55 55 51 50 51 51 50 54 55 55 56 56 56 56 58 57 58 60 62 62 62 63 65 65 66 67 68 69 71 72 73 76 78 80 82 82 83 83 85 85 85 82 85 85 84999999999999999999999999999999999999999999999999999999999999999999105104102100 98 98 97 96 96 95 95 94 94 93 92 91 91 90 89 88 89 89 89 89 89 89 90 91 91 92 92 93 94 94 95 95 96 96 96 97 97 96 96 96 96 95 95 94 94 93 92 91 90 89 88 88 87 86 86 85 85 84 84 84 84 84 85 85 85 86 87 88 89 90 90 91 92 93 94 95 95 95 96 96 97 97 97 97 97 98 98 98 98 98 98 98 98 97 97 97 97 97 97 97 96 96 96 96 95 95 95 95 95 95 95 95 95 95 95 95 95 96 96 96 96 96 97 97 97 97 98 98 98 98 98 98 98 99 99 99 99 99100100100100100100100100100100 99 99 99 99 99 99 99 99 99 99 99 98 98 98 99 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 87 95 90 90 90 90 89 88 88 89 89 85999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 61 72 73 75 77 76 76 76 75 73 73 71 70 70 71 68 64 62 61 58 55 54 52 55 57 57 51 55 55 56 51 55 54 56 56 55 56 56 57 58 60 61 62 62 62 63 63 66 68 70 71 71 74 76 77 79 80 82 84 85 83 82 84 83 85 83 84999999999999999999999999999999999999999999999999999999999999999999999999999104102101 99 99 99 98 98 98 97 95 94 93 91 90 90 89 88 88 88 88 88 88 88 89 90 91 91 92 93 93 94 95 95 96 96 97 97 98 97 97 97 96 96 96 95 95 94 94 93 92 91 91 90 89 89 88 87 87 87 86 86 86 86 86 86 87 87 87 88 89 90 91 92 92 93 94 95 96 96 96 97 97 97 98 98 98 98 98 99 99 99 99 99 98 98 98 98 98 98 98 97 97 97 97 96 96 96 96 95 95 95 95 95 95 95 95 96 96 96 96 96 96 96 97 97 97 97 98 98 98 98 99 99 99 99 99 99 99100100100100100100100100100100100100100100 99 99 99 99 99 99 99 99 99 99 99 99 99 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 86 93 88 87 87 87 86 86 86 86 86 85 84 80 81999999999 80 88 86 87 86 86999999999999999999999999999999999999999999999999999999999999999999999999999999 63 76 63 64 79 66 80 82 82 82 81 79 76 74 74 75 71 66 64 62 58 54 52 52 55 56 57 58 58 58 59 55 55 56 57 56 56 56 56 57 59 62 63 62 62 63 63 64 68 70 72 75 76 78 79 79 80 81 82 84 84 83 82 83 84999999999999999999999999999999999999999999999999999999999999999999999999999999106105104102101100100100100100101 99 97 95 92 90 89 89 88 88 87 87 87 88 88 88 89 90 91 91 92 93 94 95 95 96 97 97 97 98 98 98 98 98 97 97 97 96 96 95 95 94 93 93 92 91 91 90 90 89 89 89 88 88 88 88 88 88 89 89 89 90 91 91 92 93 94 94 95 96 96 97 97 97 98 98 98 98 99 99 99 99 99 99 99 99 99 99 99 98 98 98 98 98 97 97 97 96 96 96 96 96 95 95 95 95 95 96 96 96 96 96 96 96 96 97 97 97 97 98 98 98 99 99 99 99 99 99 99 99100100100100100101101101101101101100100100100100 99 99 99 99 99 99 99 99 99 99 99 99 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 92 90999999999999999999999999999999999999999999999999999999999999999 76 78 79 87 88 87 84 81 81 81 83 83 83 84 83 82 83 84 85 86 79 80 81 87 87 89 88 87 87 88999999999999999999999999999999999999999999999999999999999999999999999999 64 81 64999999999999999999 86 85 83 80 77 76 75 72 70 68 61 56 54 51 56 59 59 59 61 62 60 59 57 57 58 58 58 59 59 57 60 62 63 63 62 63 65 67 68 69 73 77 79 81 81 81 82 82 82 84 85 84 83 82 83999999999999999999999999999999999999999999999999999999999999999999999999999999999105104106105101100101101102103103101 98 95 92 89 88 88 87 87 86 87 87 87 88 88 89 90 91 92 93 93 94 95 96 97 97 98 98 99 99 99 99 99 98 98 98 97 97 96 96 95 95 94 93 93 92 92 91 91 91 90 90 90 90 90 90 90 90 91 91 92 92 93 94 94 95 95 96 97 97 97 97 98 98 98 99 99 99 99 99100100100100 99 99 99 99 99 98 98 98 98 97 97 97 97 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 97 97 97 98 98 98 99 99 99 99 99 99 99100100100100100100101101101101101101101101100100100100100 99 99 99 99 99 99 99 99 98 99 99 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999110999999999106105108107106106103102101101106107109108109110109113114114112111105999999999999 97 90 88 86 83 84 85 87999999999999999999999 75 76 79 78 77 76999999999 76 77 77 84 84 82 79 77 77 78 80 80 81 82 81 81 81 82 82 84 86 87 88 88 87 88 88 87 88 87999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 68 85 80 78 77 72 71 70 61 54 47 49 49 60 62 61 61 60 63 60 58 57 56 57 58 59 60 60 61 62 63 64 64 66 66 69 71 71 74 76 79 81 82 82 82 83 83 84 84 85 81 81 82999999999999999999999999999999999999999999999999999999999999999999999999999999999999999104104103103101101101104105106103 99 96 92 88 87 87 86 86 85 86 86 87 87 88 89 90 91 92 93 94 95 96 97 98 98 99 99100100100100100 99 99 99 98 98 97 97 96 96 95 95 94 94 94 93 93 93 92 92 92 92 92 92 92 92 93 93 93 94 94 95 95 96 96 97 97 98 98 98 98 99 99 99 99 99100100100100100100100100 99 99 99 99 98 98 98 98 97 97 97 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 97 97 97 97 98 98 98 99 99 99 99 99 99100100100100100100101101101101101101101101101100100100100100100 99 99 99 99 99 99 99 98 98 98 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999136126123119117111114107107107106106106105105105101101100100104105106108113112113114109112112106999999999999 96 91 90 87 82 83 84 84 85 91 86 91 86 82 79 78 74 76 78 76 75 75999 76 77 76 76 76 79 75 74 75 76 75 75 77 78 78 78 78 77 78 78 79 82 84 86 87 87 88 89 88 90 91 97 97 81 80 80999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 68 77 70 76 69 66 59 52 43 45 51 58 60 61 59 60 61 62 60 59 57 57 58 59 59 59 62 64 64 65 67 67 71 73 74 75 77 78 80 81 82 82 82 82 83 83 83 84 83999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999104104105103103102100101103101102101 99101 96 92 87 87 86 86 85 85 85 86 86 87 87 89 90 91 92 93 94 95 96 97 99 99100100101102101101101101101100100 99 99 98 98 97 97 96 96 96 95 95 95 95 94 94 94 94 94 94 94 94 94 94 95 95 96 96 97 97 97 98 98 98 98 98 99 99 99 99 99100100100100100100100100100 99 99 99 99 98 98 98 98 97 97 97 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 97 97 97 97 98 98 98 98 99 99 99 99 99 99100100100100100101101101101101101101101101101100100100100100 99 99 99 99 99 99 99 98 98 98 98 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999129129128128128126125121120115114114114114113112110110110110108108108107107107108111111115115115113112111106 97 98 96 96 95 94 93 92 91 93 94 95 96 93 90 88 85 82 80 80 80 80 80 80 77 75 77 75 73 72 78 77 76 77 77 77 77 75 72 72 72 73 77 74 73 75 77 79 82 80 74 76 79 86 91 81 81 80 80 98 78 77999999999999999999999999999999999999 70 69 68 67 68999999999999999 66 65 69 72 67 70 70 71 72 71 67 61 51 51 47 44 44 42 51 53 55 57 59 62 65 65 63 63 61 58 59 60 61 62 64 66 64 66 67 69 72 74 75 76 78 79 81 82 82 83 83 82 82 81 81 82999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999105105105105105106104103104105101100100103999999 92 88 88 87 87 86 86 86 87 87 88 89 90 91 92 93 94 95 96 97 98 99 99100101101102101101101101101100100 99 99 98 98 97 97 97 96 96 96 96 95 95 95 95 95 95 94 95 95 95 95 95 95 96 96 97 97 97 98 98 98 99 99 99 99 99100100100100100100100100100100100100 99 99 99 99 99 98 98 98 97 97 97 97 96 96 96 96 96 96 96 96 97 97 97 97 97 97 97 97 98 98 98 98 98 99 99 99 99100100100100100100100100101101101101101101101101101101101100100100100100100 99 99 99 99 99 99 99 99 99 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999121121128129129129129128123119117116115114115114113114113112112111110111110109110109110110109109108110106106106102 98100100 98100103103 98 97 97 98 97 95 94 92 88 86 84 82 82 82 82 81 80 80 78 77 77 76 76 76 76 76 77 76 76 73 72 72 70 68 69 72 72 70 73 76 77 71 70 67 67 79999999999999999999999999999999999999999999999999999999 68 66 66 67 67 67 64 63 62 67 67 68 67 68 69 68 69 67 66 66 67 66 61 58 54 51 49 43 45 50 52 56 56 58 60 64 67 67 66 64 61 60 60 60 60 62 62 62 63 67 67 69 71 73 74 75 77 79 82 84 85 85 85 86 84 83 82 81999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999106106109109109109110108106106104102999999999999999999 82 81 82 84 88 88 88 88 89 89 90 91 92 93 94 95 95 96 97 98 99100100101101102102101101101101100100100 99 99 98 98 97 97 97 97 96 96 96 96 96 96 95 95 95 95 95 95 95 95 96 96 97 97 97 98 98 98 99 99 99 99 99100100100100100100101101101100100100100100 99 99 99 99 98 98 98 97 97 97 97 97 96 96 96 96 96 97 97 97 97 97 97 97 98 98 98 98 98 99 99 99 99 99100100100100100100100100100101101101101101101101101101101101101101101100100100100100100100100 99 99 99 99 99 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999123122121121124122121123122122121119117116114114116115112113113113115112112113112111111111113112113112111112111108109105103105104107107106102 99 99 97 97 95 95 94 92 91 88 86 84 83 83 83 82 80 79 79 77 78 80 79 79 78 79 77 76 75 73 73 72 69 68 67 70 69 67 67 68 68 72 71 70 68 68 78999999999999999999999999 70 69 67 66 67999999999 66 68 67 69 68 65 67 67 68 64 64 65 67 64 63 67 69 67 66 64 61 60 58 56 54 53 51 52 54 53 55 59 61 62 63 68 68 69 68 66 64 62 61 61 61 61 63 65 67 68 70 71 73 74 75 77 77 81 83 84 86 86 87 86 87 88 86 89 83999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999107110109109111112110109103103999999999999999999999999 90 83 85 89 89 89 89 91 90 90 91 92 93 93 94 95 96 97 98 99100100101101101102102102102101101101100100 99 99 99 98 98 98 97 97 97 97 97 96 96 96 96 96 95 96 96 96 96 96 96 97 97 97 98 98 98 99 99 99 99100100100100100101101101101101101101101100100100 99 99 99 99 98 98 98 97 97 97 97 97 97 97 97 97 97 97 97 97 98 98 98 98 98 98 98 99 99 99 99 99100100100100100100100100100100101101101101101101101101101101101101101101101101101100100100100100100100100100100100 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999122122126122121120120119119121120119118117114114115115117117115118118115117116114115116115116117117118118117116114113109108107106108106106104103103101 99 96 97 95 94 93 91 89 86 86 85 83 83 83 82 81 80 81 81 81 79 79 79 77 74 74 75 75 73 72 70 70 70 70 69 69 69 70 71 71 71 70 69 69 68 72 71999 70 69 71 72 71 69 66 66 65 64 65 65 65 64 69 68 67 65 65 66 67 69 68 66 63 67 67 68 68 65 61 61 59 58 56 55 55 53 54 52 54 56 58 58 60 62 64 67 69 69 68 67 65 62 64 63 64 66 68 70 72 74 75 75 77 77 77 77 78 82 83 84 85 86 87 88 90 90 88 85999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999107111110110111112112112111110104999999999999999999 90 89 87 85 86 90 91 91 91 91 91 92 93 92 93 93 94 95 96 97 97 98 99100100101101102102102102102102101101100100100 99 99 99 98 98 98 98 98 97 97 97 97 97 97 96 96 96 96 96 96 96 97 97 97 98 98 98 99 99 99100100100100100101101101101101101101101101101100100100 99 99 99 99 98 98 98 98 97 97 97 97 97 97 97 97 97 98 98 98 98 98 99 99 99 99 99 99 99100100100100100100100100100100101101101101101101101101101101101101101101101101101101101101101101101100100100100100100100100 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999121121121122122120119119119119120122121122122121120118118119121118117118121118119119119120122121119119119118116115115114113115113111109109109109109106106104100 99 97 98 98 97 94 92 92 91 88 87 86 86 86 85 83 83 83 83 81 80 79 78 76 76 77 75 74 73 73 73 72 72 72 71 72 73 74 73 71 72 72 70 69 71 70 71 70 69 70 69 69 65 64 66 68 69 68 66 68 66 66 66 65 65 67 67 67 67 67 68 68 68 67 65 61 63 61 59 57 57 52 53 52 51 51 52 53 57 58 59 62 65 68 69 71 69 69 68 65 64 65 68 69 72 74 75 76 76 77 78 79 79 79 80 82 83 86 85 86 88 90 91 92 92 88999999999999999999999999999999999999999999999999999999999999999999999999999999999999999109110109109109111110112112112112111999999999100 93 92 91 90 90 88 88 91 93 92 91 90 91 91 91 90 91 92 93 95 97100 97 98 99 99100101101101102102102102102102101101101100100100 99 99 99 99 99 98 98 98 98 98 98 97 97 97 96 97 97 97 97 97 97 97 98 98 99 99 99 99100100100100101101101101101101101101101101101101100100100100 99 99 99 99 98 98 98 98 97 97 97 97 97 97 97 98 98 98 98 99 99 99 99 99 99100100100100100100100101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999125122121122122121120119120120120122122125125125124124124124122121120119121124123123120122122121121120119118116116115115113116116116115112112112112114110111110106103102102102101100 99 97 96 95 93 92 93 94 91 89 88 87 87 85 83 81 81 79 78 77 76 75 75 77 78 75 75 73 74 76 74 74 75 72 73 73 74 73 73 72 72 73 73 70 69 68 70 68 67 68 71 71 71 70 69 68 67 67 67 68 67 66 66 65 67 65 66 64 62 61 61 58 55 56 55 53 54 54 52 53 56 58 58 58 61 66 69 69 71 71 69 68 68 66 66 68 70 72 74 74 75 77 77 78 78 78 78 80 81 83 84 87 88 89 91 94 94 94 88999999999999999999999999999999999999999999999999999999999999999999999999999999999999999114112109107106107109110111111109109105999 98 97 98 99 97 96 93 91 89 90 92 93 92 90 91 91 90 90 89 89 90 92 94 96 99101103103100101101102102102103103103103103102102101101101100100 99 99 99 99 99 99 99 98 98 98 98 98 98 97 97 97 97 97 97 98 98 98 99 99 99100100100101101101101101102102102102102102102102102101101101100100100 99 99 99 99 99 98 98 98 98 98 98 98 98 98 98 98 99 99 99 99100100100100100100100100101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999124125124123122124121121121121122122123125126127129127127126127127125124125125125125125125123122122122121120118117116116115115113114115115117118118115115117114114114112110110106108106105104101 99101101103103102 97 96 96 94 96 94 91 88 86 83 81 81 81 79 79 80 80 79 76 76 77 77 76 78 79 78 77 74 74 74 73 72 73 73 72 71 70 69 69 70 72 71 73 73 73 70 69 70 69 69 68 67 66 69 69 67 68 66 69 68 64 64 68 68 62 59 59 57 60 56 55 54 55 56 57 61 66 70 72 72 73 72 70 69 69 68 68 71 71 73 75 75 77 77 77 78 78 78 80 82 83 85 86 89 91 92 94 95 88999999999999999999999999999999999999999999999999999999999999999999999999999999999999999112115113112109108108110110109109109108103 99 99 98100101102100 98 96 94 92 92 94 94 93 92 91 92 93 92 91 91 91 92 93 94 98100102103104105105104103103104104104104103103103102102101101100100100100100 99 99 99 99 99 99 99 98 98 98 98 98 98 98 98 98 99 99 99100100100101101101101102102102102102102102102102102102102102102101101101100100100100 99 99 99 99 99 99 98 98 98 98 99 99 99 99 99100100100100100100100101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101102102102102102102102102102102102102102 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999126126125123124124123123123123123124124125125126126128129130131130130130129129129129128128127127127126125124123122121121120119118117117116116115115114116118119117118117118118116115113112113113111109109108106107109110111111107107106106106102 99 96 94 90 89 87 85 86 86 85 85 84 82 83 84 82 81 84 83 81 80 77 79 79 76 75 74 73 74 73 72 71 68 70 73 74 75 72 71 72 71 72 70 72 70 70 71 66 69 69 70 73 76 74 74 74 73 74 74 68 66 64 65 61 61 56 56 57 60 65 71 74 74 74 74 73 71 70 70 72 74 74 74 75 76 78 78 77 77 77 78 79 81 83 85 87 89 92 94 95 96999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999114114114113113113113112111109108106103102100 99100101101102101101 99 98 96 95 94 94 93 93 92 93 94 94 94 92 93 93 93 95 97 99101102104106104103101103104104104104104104103103102102102101101100100100100100100 99 99 99 99 99 99 99 99 99 99 99 99 99 99100100100101101101101102102102102103103103103103103103103103103102102102102101101101100100100100 99 99 99 99 99 99 99 99 99 99 99100100100100100101101101101101101101101101102102102102102102102101101101101101101101101101101101101101101101101102102102102102102102102102102102102102102102 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999126126126126126126126126126125125126127127127128129130131132133133133133133132133133132131130129127126128127126125124123122120119119118118119118117117115117118119118118117117118117116115116115113112114114114114115117117118117115114112111112108106105103 99 96 95 94 93 92 93 93 93 89 90 91 93 90 89 87 86 86 85 83 80 79 78 75 76 75 73 73 73 72 74 75 74 74 75 75 73 71 76 72 72 72 74 70 68 70 74 82 83 85 86 82 82 82 82 80 80 77 76 74 70 67 62 60 63 68 72 74 75 76 76 75 74 72 71 72 73 74 75 76 77 78 78 79 78 79 81 82 83 86 88 90 93 93 95 94 88999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999111112114112112115115115111110109107105103100 99 99 99100100100101101101 99 97 96 95 95 95 94 94 95 95 95 94 94 94 95 96 98 99101103105107106104103104104104105104104105105104104103103102102101101101101101100100100100100100100100 99 99 99 99100100100100100101101101102102102102102103103103103103103103103103103103103103103102102102101101101101101100100100100100100 99 99 99100100100100100101101101101101101101101102102102102102102102102102102102102102102102102102102101101101101102102102102102102102102102102102102102103103103103103103103 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999128126126128127127127127127128127126126127128129130130131131132133134135135135134134134134136133132132134132130128128127126125124122120121120121121121121120118118119119118118117120121119119118118117116117119119119120120120119119118118116113113114113111111110107108107108106104103101 99 99100 98 98 99 97 95 93 91 89 90 89 85 84 81 80 77 76 75 75 74 74 76 77 78 78 75 75 75 75 75 73 74 72 74 75 76 77 85 89 91 90 88 87 87 86 85 83 82 81 80 78 75 73 71 73 74 75 75 74 75 75 74 73 71 70 70 70 70 72 74 77 78 78 79 80 82 84 86 89 92 94 94 94 88999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999110111112113111115115117114111108107105105102101100 99 98 99100100101101101 99 98 98 98 98 98 98 98 98 98 98 98 98 99 99100102103104106107106105104106106106107106106106106106107104104104103103102102102101101101101101101101100100100100100100100100100101101101101102102102102103103103103103104104104104104104104104104104104103103103102102102102102101101101101101100100100100100100100101101101101101101101102102102102102102102102102102102102102102102102102102102102102102102102102102102102102102102102102102102102103103103103103103103103103104 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999128124125125124123123123126127128129128129130130131131132132132133134135136136136136135135134136136134134135135133132131130129128127125125126124124124124123122120118120119119118119122120121121120120120120122121121121121121121120120119119118116116115114112112112112113113113111110108106105106105104102103103103 99 97 97 96 95 92 90 88 85 82 81 79 79 76 76 76 76 76 78 77 76 76 76 80 81 84 87 86 85 84 83 86 91 94 95 93 90 88 86 85 83 82 79 79 77 75 74 76 75 75 74 72 72 71 73 73 72 70 68 67 68 70 71 73 73 76 77 79 80 82 84 89 92 94 96 96999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999113114115114114115116116113110107106105104103102101100101102102102103102102101100100 99100 99100100100100100100101101102103104105107107106107107107106106107107108107107107106107108107107107103103102102102102102101101101101101101101101101101101101101101101102102102102103103103103104104104104104104104104104104104104104104104104103103103103103102102102102102101101101101101101101101101101102102102102102102102102102102102103103103103103103103103103102102102102102102102102102102102102102102102102102102102103103103103103103103103104104104104 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999127125124123122122122122123125126128129130131132132133134134135136136137137137137137136136136137138137136136135134133133132131130131131131131129128128127125125122121121122123120121123122122122122122122122122122122122121120121121121120119119119118117116115115115115115115115115113112112111111110110108107106106104104103104101 96 95 97 93 88 84 83 84 82 79 78 78 78 78 77 79 80 85 90 94 97 99 99 96 93 91 92 94 97 97 95 91 87 85 84 80 77 76 77 78 77 76 77 76 75 72 71 69 70 71 70 69 68 66 67 69 71 71 73 72 73 74 77 80 82 85 89 92 87999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999118115119118118118118116115115112106105104103103102102102103103104103103103102102101101101101102102102102102102102103104104106106107108107108108108107108107108107107107107107108108108107107105105103103102102102102102102102102102101101101101101102102102102102102103103103103104104104104104105105105105105105105105105105105105104104104104103103103103103103102102102102102102102102102102102102102102102102103103103103103103103103103103103103103103103103103103103103103103103102102102102102102102102102103103103103103103103104104104104104104104 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999127125123121121120121121122124125126127129130131132133135136136137138138138138139138138138138138136136136136135135134133133132132132133133133132131130129129128129125125125125126125124123124124124124124124124123123122122121121122123122121121121121120118117117115115115116115115115114113114114112112111111109110110109109109112109107104 96 91 89 85 84 84 84 82 83 82 84 85 85 85 87 91 95 98101102101101100 99 99 99 98 95 94 92 89 85 83 81 79 80 80 78 78 78 78 75 73 71 69 69 69 70 68 68 67 67 68 69 70 70 71 72 73 73999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999118117119123122118117115115115113109106107106104104104104105106105104104104103103104104104104105104104104104105105105106106107107107107108109109109108109108107108107107108108108108108107106105104102102102102103103102102102102102102102102102102102102102103103103103103104104104104104105105105105105105105106106106106105105105105105105104104104104104104104103103103103103102102102102103103103103103103103103103103103103103103103103103103103103103103103103103103103103103103103103103103103103103103103103103103103103104104104104104104104104104 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999123123122120118118121123124124126127129129130132133135136137138139138139139139139138138139139139138141138137137137136138136135134134134134134133132132131130131130129127128128127127126126125126126126125125125124123122123122123125124124122120120122121119118117116116115116117116116115116115115114114114113113113113113113112112111108106 92 90 87 87 87 88 88 87 90 94 96 97 97 95 92 92 94 96100100100 99 98 97 95 94 93 92 91 90 87 85 84 83 83 83 81 79 80 80 77 74 73 72 71 71 70 69 68 68 67 66 68 71 71 73 77 78 79 80999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999121122126122999999999999111115112109111109107106106106107107104106104105105105107107108108107106106106106107107108107108108108108108108109109109109109109108107108107108108107107107106106105105104103103102103103103103103103103103103103103103103103103103103103104104104104104105105105105106106106106106106106106106106106106106106105105105105105105105105104104104104103103103103103103103103103103104103103103103103103103103104104104104104104104104104104104104104104103103103103103103103103103103103103103103104104104104104104104104105105105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999139132123121122122119118117118119120122124126128130130131133134135137138139139139139140140140139139139140139141140140137139139139139138137136136136135135134132132131133133133130129132129129127127127127128128128128127126126126124124124124125124123121120119120120119118117116116116116117116116115116116116115114115114113113114113111110111110110106100 96 96 94 92 91 93 93 95 99100100100100 98 97 95 97 99 98 97 96 95 94 93 92 92 91 90 87 86 85 83 83 81 81 81 81 81 79 76 74 73 73 73 72 69 71 69 69 68 66999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999123999999999999999999999109112110108106106105107108108108108108108108109109110109108108108108109109109109109109109110109109109109109109110110109110109108108108108107107107106106106106105105104103103104103103104103103103103103103103103104104104104104104104104105105105105105106106106106106107107107107107107107107106106106106106106106106106105105105105104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104103103103103103103103104104104104104104104104105105105105105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999129128127125124123123123122123124124124124124126129130130131132134135136137138139140140139140140140140139139141141141141140139139139138138137137137136135135134134134133132133133132131131132129129128128128128128127128126126126126126126126125124125125124123124123121121120118117117116116117117117117116116116115115113114114112113114112111109108109108106105104100 98 97 96 97 94 97100100 99 99100100 99 99 99 97 95 94 94 94 93 93 93 93 92 90 88 88 86 85 83 82 82 82 82 82 80 76 74 74 72 71 70 70 71 69 68 66 66 68999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999109112111110108107106107108109109109108108109110111111110110109110111112110110110110109110110109110111110110111111110110110109109109108108107107107106106106106105105104104103103103104105105104103105104104104104104104104104104105105105105105106106106106107107107107107107107107107107107107107107107106106106106106106106106105105105105104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104105105105105105105105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999130128128128129131130130130130134134133130130130131130131131132133135136137138139140140140140139139140140141139141141141140140139139139138138137137136137135135134134133132132134134134135134132131131130129129128127127126126126126126126125126127126125123123123123122121120120119117116116116116116116115115115114114114114113113114114114114113112111110109109108107102102102103101 98 99100100103102100100 99 99 98 95 93 93 94 93 93 93 93 93 92 90 89 88 86 85 83 82 82 82 82 82 80 77 74 73 71 70 68 68 67 66 66 68 69 73 74999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999111112112111110109109108106107106106107108109109110111111111111111112113112111110111111109109109110111110110111112112111110111110109109108108108107107107106106105105105105104104104104104105105105104104104105104104104105105105105105105105106106106106107107107107107107107108108108108108108107107107107107107107107107107106106106106105105105105105104105105105105105105105104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104105105105105105105105105105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999123125128129129129131133134135133134132131130130131132132133132132132134135136137138139141140140140138139141139140140139138138138138138138137136138138136135135134134134133132133133134134134134134132132131131130130129128127127127127127127127128127126126125124123123123122121121121121121119118117117118117116116115114113114114114114113113114115115113112111110109110110107105105106106104103104104103102 99 98 98 97 94 92 92 92 93 93 93 92 92 93 91 90 89 88 86 84 83 83 82 82 82 81 80 78 76 74 74 72 68 66 65 67 72 75 77 80 76999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999117116113112110109109109110109105104104104105107108109111111111111112111113113111110110110110109109109109110110111112113113112112112111111109109109109109109109108107107106106105105106105106105105106105105105105106105105105104105105105105106106106106107107107107108108108108108108108108108108108108108108107107107107107107107107107106106106106105105105105105105105105105105105105105104104104104104104104104104104104104104104104104104105105105105104104104104104104104104104104104104105105105105105105105105105105105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999122123126127129130130133135134134134134132131131133134134135136136136136136137138139140141141141141141141142141142142141140140139137137137137138137139138138135135133134135134135135136136136135136135133133133133131130130129128128128128129128129128127128126127127126126124123123123122122122121121121119119118118117116115114114113113113112112113113113113111112111110109110109108108107108111110108106102100 99 98 97 95 93 92 92 92 93 92 92 92 92 92 91 90 89 87 85 84 84 83 83 83 82 80 80 79 76 76 75 72 70 69 70 74 77 81 85 88 78999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999121118116114112110109109109109109110107105104105106108109110112112113113112113112111111111110109108110111111111112112113113113112113113112112112110111111112112111111110109108107107107106107106105105107106106105105106105105104103104106106106106106107107107107108108108108108108108108108108108108108108108108108108108108108108107107107107106106106106105105105105105105105105105105105105105105105105105105105105105105105105105105105105105105105105105105105105104104104104104104104104105105105105105105105105105105105105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999123123122123122124126128128128129131133134135135135134133134135135137137138139140140140140141141142141141141141141141142141141141141139138137138137137137137137136137135134134135133135134136136136136135136135134133132133132132132131130129129130129128128129129129129129128128127127127126126125125124124123123123122121120120119117116116117116115114113112112113113112111110111113112112111110109109109109110109104 99 97 97 96 95 92 91 92 91 91 91 92 92 92 91 91 90 89 87 86 85 84 84 83 82 83 82 81 80 78 77 76 75 73 73 74 77 78 80 85 90 93999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999122121118116114110109110109109111111111110108107108107108109108111113114112113113112111110111112111110112114112113113114113114115114114115114113113112112113112113113112112111110110109108108108107107107107109107107107107106105105104105105105105105107107107108108108108108109109109109109109109109109109108108108108108108108108108108108107107107107106106106106105105105105105105105105105105105105105105105105105105105105105105105105105105105105105105105105105105105105104104104104104105105105105105105105105105105105105105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999122123124122123124124125125126126128130132133134136137138138138138138138139139139141141142142142142141141140140139139139141140138139139139137137137137137136136136136135134133135134132134134136136136135135135134133132132132132132132131131131130131130129129129129130129129129129129129128128127126126126124124124125123121120121121120118118118119117117116116114115114114113112112114114114111108110110111112110108103 97 95 95 94 94 93 93 93 93 93 92 91 90 91 90 89 88 87 86 86 85 85 84 83 84 84 83 81 80 79 77 77 76 77 77 77 79 81 77 89 93999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999121119117114109110111111111112112111110109108107108110110110111114114112113114113111111113112113113112113113113113112113114114114114115115115114113112112112112112113113112111111111111109109108108108108106107107107107107107106106106105105105107106106108108109109109109109109109109109109109109109109109109108108108108108108108108108107107107107107106106106106106106106106106106105105105105105105105105105105105105105105105105105105105105105105105105105105105105105105105105105105105105105105105105105105105105105105105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999121120121123123123123123124125125126130131133133134136137139140140139140139140140141141141141142142141141140140139138137137137138135135136138138137137137136136136135135135134134134133133133134133134133132133130132131132132132132132131132132131131131131130129130130130130130129129129130129128129128127127126124123123123122123123122121120120118118118118118117116116116115113113111113113114112112111112111111110107103 98 96 95 95 95 95 95 94 93 93 93 92 90 89 89 87 86 85 86 86 86 85 85 85 85 84 83 82 81 80 79 79 78 76 75 75 75 76 78999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999122120119115112112112112111111110109108106106107108112112112111112112113114113113111112113114113112112112112113113113113113113112114114114115115114114113112113114114113113112112112111110110108108108108109107107108107107106107107107107107107108108108109109110109109110110110110110110109109109109109109109109108108108108108108108108108107107107107107106106106106106106106106106106106105105105105105106106106106106106106106106106106106106106106106106106105105105105105105105105105105105105105105105105105105105105105105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999118117117118119119123121124125125123122123126129132133134135136137138139139140140140141141141142141140141141141140139139138139136134131131130132132136136137138136135136136136136135134134134133133132133133133132131131130131131131131131132131131131131131131131131131130130130130129129129129130130128129129128127127126125122123122123124124123121119119118118117118118117117117116115112111109112113114113112111109109110108106102 98 95 94 96 98 98 97 97 96 96 96 94 93 91 87 87 87 86 87 88 87 87 87 86 85 84 84 83 82 82 81 80 74 72 70 69 70 74999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999122121118116112112113111108107106105104104105107109111111112112112112113112112112111111112113112112112112113113112113114115115113113113113113113114114114113114114114114113113114112111111110109108107108109109108108107107107107107108106108108109109109110110110112112110110110110110110110110110109109109109109109108108108108108108108108107107107107107107107106106106106106106106106106106106106106106106106106106106106106106106106106106106106106106106106106106106105105105105105105105105105105105105105105105105105105105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999120118118119120119120120119119119120118119121124126129132134135136137138138139139140140141141141141142141141141141141140140140139134129126125125126129132134136136135134133133133134134134133134134133131131131131131130130129130130130130130130130130130130130130130130130130130130130130130130129129130130130129128127127127126124124123123121122120120119118117118117118118118118117115114113111111112114114112111110110109108107105102 97 95 97 99100101100100100 98 99 97 96 93 92 91 90 90 90 90 90 89 88 87 87 86 84 84 84 83 79 79 71 70 77 75999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999123121118115113113113109106105105105105103104106109111111112112113113112112112112113113113114114113114112113114113113115113113113115112114114113112113114114114114114115114115115114113112111111109110111111111110109107108107107108108107107109109109109110110109112112112113113111110110110110110110109109109109109109108108108108108108108108107107107107107107107107107107107107107106106106106106106106106107107107107107107107107107107107107107107107107106106106106106106105105105105105105105106106106106106105105105105105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999117117118118119119119119119118117118118118118120123126130133135137138138139139140140141141141141141142142141141141141141140140140137131124122120120122126129133135134134133132131132133132132132133133132131131131132130129128129129129130129129129130129129130129129129130130130130130131131131129129129129130129128128127127126126125124123124123123122120118118118118117119118118118117117115113112112114115114112111110109108107107105102 99 97 99101103103102101 99 98 98 99 98 98 97 97 97 97 95 94 91 90 89 88 88 86 85 85 83 81 68 67 69 80999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999124121116115112113111108106106106107107106107109111111113112113115114113113113113115115113115115112114114113112113114114114115115115117115114115114114115115115115115115115117116114115114112112112111111112110109108108109108108108109109110109110111110112111112114112113112112111110111111110110110110109109109109109108108108108108108108108108108107107107107107107107107107107107107106106106106107107107107107107107107107107107107107107107107107107107107107106106106106106106106106106106106106106106106106106105105105106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999123116117117118116117118119119119118118118119120121123126129131134135136139139140140140140140140140140140141141141141141140139139138138136132128126123123123125127130132132131130130129129130130129131132132133132131130130130129128128128129128128128129128129130130130130130130130130129130130130130130129129129129127126127127126125125124124124124124123121120120119119118118118118118118118118117116115115114116117116113113112108106106106103102101103104105105103101100 99 99 99 99 99 99 99 98 99 97 96 94 93 91 90 89 87 87 86 85 85 65 65 67999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999112113112109107107107108108109110112113113113113114115114114114114115115115115115115114115112112113115115115117116116117116116115113113113115116116115115115116118116115116115113113113112112112109109109109109109109110109111109111110112111111113114113113112111111109110112111112110110110110110109109109109109109109109108108108108108108108108108108108107107107107107107107107107107107107107107108108108108108108108108107107107107107107107107107107106106106106106106106106106106106106106106106106106106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999113113113117118119117116118119119119120121122123127129129131131133135136136138139140140140140140140139139139140140141140140139138138137137136135134132128125122122123125126125125125125124125126127127129130131132132131131130129129128128128129128128129128128129129130130130130130130130129129129129129129128128129128127126126126126125125125124124124123122121120119119119119117118118118118119117118117116116114116116116115114112108106104106105104104105105104104102100100101101101100100100 99101100100 98 95 93 92 90 89 86 87 88 87 84 70 71999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999112113112111109110110110111112113114114114113114115115115115115115115115115115116115115115115114115115116117118117118117117116116115115115115116116116116116116117117117116115115113113112113112111111111111111111110110111113111111110112112113113112112112111111111111110110111112111109110110110110110110109109109109109109109109109109109109108108108108108108108107107107107107107107107107107108108108108108108108108108108108108108108107107107107107107107106106106106106106106106106106106106106106106106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999121121114121123122119116119120119120121123127130132131131132133134135136138138139139139140140140140140140140139139140140140139138137136137137137136133128122116118120120121120118118118118120122124126127127129130131130129128127128128129130129130130129128127128128128129130130131131130130130130129129129128128128128127127126126126126126125124124123123123122121119118117117118118119119119118118118117116115115115115115115114110107106104106105105106106104103102101100101101102101100100100101101101100 99 98 95 93 91 90 89 89 90 87 88 71 73999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999113114113112112112112113113113113114114115115115115115115115116115116116115115116114114114114115115116117117118118118118116115116116115116115117116116117117116117117116115115115114114114114114112112112111110111111110111112110111111113112112114114114113112111111111109109110111111110109110111110110110110110110110110110110110109109109109109109109109108108108108108107107107107107107108108108108108108108108108108108108108108108108108107107107107107107107106106106106106106106107107107106106106106106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999132130127123122124125124118118120121121122123124129130132133132133134134134135136138139139139138138138139139139139139138138138138138137137137138138137136133128121117115117117116116116116116116116116118122124124126127128127126126125125126128127129128127128128128127128129129130130131131131130130130129129129129128127128128127127126126125126125125124123123123122121120119118117118118119119119118119118117117116116115115115115113108107106105105106105106105105103101100100101102102101101100100101101102102102101 98 97 96 95 93 91 89 88 89 71 91999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999113113113113114113114114114115115116115116116115115115115115115114113113114114113113113115115116116116117118118118118120117118116118117118117116117117118118117117116115115115114114114114114113112111111110111111110112112111111113113114116113112112113111110111109108110110110110110110109108110110110110110110110110110110110110110110110110110109109109109108108108108108108107108108108108108108108108108108108108108108108108108108108107107107107107107107107107107107107107107107107107107106106106106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999129129129128127127125121122122120122126128129130130131131132134133134134134134134135136137138137137137137137138138138138137137137137138138137138138138137135133127119117114114117114117116116115115115115116117120124124123123122123123122123125126128128127126127127127128129128129129130131131131131131131130129129129127126126127126126125124124125124124123122122122122121121120120119119120119119118118119118117116115116115114114113113110108105106105105106105105106105103103103102103103103101101101101102103103102101101101100 99 96 93 91 92 96100999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999114114114114114115115115115116117116116116116115115114113113111110110110112111111111113114115116115115115116117117119120120120118118120120118118118118118117117116115114116115114114114114114113113112112112111111112111111111111112114114115113113113113112111111111111111111110109110110111111110111111110111111111111111111111111111111111110110110110110109109109108108108108108108108108108108108108108108108108108108108108108108108108107107107107107107107107107107107107107107107107107107107106106106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999130130130129128126126124122124125127129130131132130130131133134135134134135135135134134135135136136135135135136137137138138138138138138138138139139138138136134133129126123121118117117117116115114114114116117118119119119118118119121121120122124126127127127126126126126127129128128129129130130130131130130129129128128126127126126125124124123123123123123122121121121121120120120120120119119120120119118117118117116116116116113114113113110109107107106107107106106106107104104103104104104103103102102102103103103102103103104103101 97 94 95 96 96 96999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999126125126127127999999999999999115115114114114114115116117115116117117117116116115116113111110110110111112113113112112113115115116115115114115117117119120120121121121121120119118117116117117117116116116116115115114114115114114113113112112112112112112111111112113115115113114112113114113112111111113112112112111112111111111111111111111111111112111111111111111111111111111110110110110109109109108108108108108108108108108108108108108108108108108108108107107107107107107107107107107107107107107107107107107107107107107107107106106106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999124128130130130129127125126126129130130131133133131130129130132135135135134135136135134134134134135135136135134135134135136137138138138138138138138139139139138136134133132131129128125122120119118116114112113115117116115113112113112115117120121120122125126125125126126126127127127127128129129130131130130129128128127127127126125125124124124123123123122123122121121122121121121121121121120120120121120120119118118118118117116115114114114113110109108108107106106105105106106105105104104104104104103102102102102102102102102103103102101 97 95 96 96 97999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999124124124125125125125121999999999119117117115114114115115116115115116118117118117116115113113111111112113113113114114114114115116117117117118118119118118119119120121121121121119119119119117117118117117116116115114115114115115115115114114113113113113113113114112114114115114115113113114114113113113112112112113112111111111111111112111111111112112111111111112111111111111111111110110110110109109109108108108108108108108108108108108108108108108108108107107107107107107107107107107107107107107107107107107107107107107107107107106106106106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999128123125129131131131131133132132132132133134135135135131131131132134136135136137136136136134133133133134136136136135135135136136137137138139138139139139139139139138135133132131130129128127126124123119116114112113115114113111111110109108110111114116119121122121123121123125126127127128129130130130130131130129128127127126126125125124124123124123123123123122122122121121122121121121120120120120121121120120120120119118117117117116115115114113113110109109110108107106105105105105105105105105104104104103103102102102103103101102104103103101 99 96 75 87 93999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999123122122123123124123119120119118117117117115115114114115116117115116117116117115115115115115115114114115114113114114115116115117117117118119119119119119119120120120120120120119119120119119119117117116116116116116116115115114115115114114114114113113113113113113114114113113115114114113113113112112111111112113113112112112112113111110111111112111110111111110110112111111111111111110110110109109109108108108108108108108108108108108108108108108107107107107107107107107106106106106106106106106106106106107107107107107107107106106106106106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999124128128126127129131133134134134134135136136135135135136137133133133133136135136137138137136136135134133134136137136137137136136136136136137138139138139139139140140139136134134134132131130129129128127125122118117113114114112111113111120121121121122102114116117118120119118120121122122122126128129130130131130129129128127126125125125124124123123123124124123124122122122122122122121122121121120120121121121121121120120119118117118117117116115115114112110109109110109108107107106106106105106105105102102104104104103103103103104101101100100101101101 95 89 90 94999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999124122120118118119119119119119118118118117116116116113115114116117116117116115114115116117118118116117115115114115114114115116116116117118119119118119118118118118119118119120118118120119119119119119118118118117117116116116115115116115114114114114114114115115114114114113113114113113112113112112111111111111112111113113111111111113113112112112112112112112111111111111112112111111111110110110109109109108108108108108108108108108108108108108107107107107107107106106106106106106106106106106106106106106106106107107107106106106106106106106106107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999122124127132133130132134134133134135134133134135135136135134133134134135135135135136137137137137137137136136135136137138137137136136135135135136137138138139140140141140139139137135135135134133133132131130128128126122121118116114112112116115120120120121121121108110115114116116116117118118118119123125127128130130129129128129127127126127127126126126124124124124123123122122121122122122122121121121121121121120121120120120119119119117119118118116114113114113111109110110109109109108107107106106106106103103103104106106105105105104104102102102103102 97100 97 90 89999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999125122119115115116115115116118118118117117116116115114115115116117117116117117116117116118117116116116114115114115114115116116115116118119118119119119120119118118118118118118118119119119119120119118118117118117118117117117116116117116116116115115115115115115116115114114113114115113113111111111111110111110111112113114113111113113114113113113113113113113112112112112112111111111111110110110109109109108108108108108108108108108108108108107107107107107106106106106106106106106106106106106106106106106106106107106106106106106106106106106107107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999118120124128131133134134134134132132133133133133132133133134135134135134135136136137136136137137138138138138138138138137138138139138138136135134135135135136137138139140140140140139137137136137136133133133132131130129129127125123117113112118118114122122122122122122122109110107111118113112112114116117120122123126127127127127127127127127128128129129128127126125123123123123122122122122122122122122121121121121121120120120120120119119119118119117117117116115114112111109110110110109109108108108107106106106105105105104104107107106104104104101101101101100 99 97 95 86 87999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999130125122119115115115115115116118115115116117116116115115117118118118117116115118118117118115117116117116115114113114114115116117117117118118120120120120120121120120118117118118118118119119119118119119119117120118117118117117115117117116116116116116116115114113115115113114114115116114113112112113111112109109110112112113112114112112112113113114113113114114114113113113113112111111110111110110109109109108108108108108108108108108107107107107107107106106106106106106106106106106105106106106106106106106106106106106106106106106106106106107107107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999112117114117121126128129129129128127128130130129131133132132132131131132134134135136136137137137137138138138138138138138138137137137138139138138138136135134134133134136136136138139138138139139137137137136133132132132132131130130127125123119115115115116119123123123124124123123123122121121111109112106110112115118121123123125126126126127127127128127128127128127126125125125124124122122123122122122121121122121121120120121120119120120119119119119119119117117116115115114114110109110110109109108108107107107107106105104104104104106107107106105104102100 99100 99 98 96 96101 83 87999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999129128126121118116115115115115117118115115115117117117116116117118119120119120119118118118116116118116117116115114114113116111113117117117118119120119119119120121121122120118117119118118119119118118118118118117117117118119117116117117117117116117117116116116115116114114114115113113113113113112114111112112113113112113113114113112114115114114114114114114114114114114113112113112112112111110109109110109109109108108108108108108107107107107107107106106106106106106105105105105105105105106106106106106106106106106106106106106106106106106107107107108108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999115116118115114118121122121121124122123125128130129131133131131130127129131131133135136137137138138138138139139139139139139138138138137137138138138138137135134133132132132133134134135136136136137135135134134133132131131131130131131130128124121118122123120118120119119125110107124123122122121121110112113109110113114119122123124125126126127127128128128128128127127126125126124124123123122122122122122122121121120121120120121120120120120119119119119120119118117116116115115114111110111110109108108108107107107106106105104104104105105106106106106104101 99 99 98 97 94 94 93 98 92 92999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999129129126122119116116115116117118117118117117118118118118119120120120120120120119118119119117118119118119118118116116116111110112117117118118119119119117117118120119119119119118118118119118118118118118118119118118118118117116116115116117117117116115115115115116116115114115114114113113112113115113113112113112112112113114114113113113113114114114114113113114114113113112112112113112111111111110110109109108109108108108108108108107107107107106106106106105105105105105105105105105105105105106106106106106106106106106106106106106107107107107107108108108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999123117117119116113114114116117115118120122123126127129129128123124126126125129128131134136137137138138138139139140140140140140139138139137137137137137137135134133131130131131131132132134135136135136136136135135134132132132132130130130129127124122124124125124121121121124123122119118117112115122120120118116110110110111116121123125125125125126127127127127128127127127126125125124124123122122123122122122121122122122122121121120120119119120119118118118119118117117116115115115114112111111110110109108108107107107106106106105105106105105105105106105104102 99 98 96 96 95 93 97 94 89 91999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999130130126123120117116117118119120120119120119119120120120120121121121121121120120119119119117117118117118118118118116115110109117117117118118119119119116116117118117118119120119119119119119118119118118119119118118117117116116116116117117117118116115114115114114115116115115115114114115114115116114115114113112114114114114116114114112113115115113113115113113113112113113113111112112110111111111111111109108108108108108108108107107107107106106106106105105105105105105105105105105105105105106106106106106106106106106106106106106107107107107107108108109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999120119117123119117115103101103109113108113115116120123112110121124120121119120121123125129132135137138138138138139140140140140140140138138137137136136135135134133133132131131132132132132131132133135135136135136135135134133132132132132131130129126125124129130130128126127126126124122123119118119118116117119118116113112113114117120124125126126126125125125126126127128128127126125124124123123123123123123123122121122122122121120120120119119119118118118117118119118116115115114114115115113114112111111110110109108107107105107106106103104105104104104104103101 99 98 96 95 94 92 90 96 95 89 90999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999130127123120118119120121121122122121121120120121121121121121121121121121121120121119118116118117117118118117116113113115116999999999117120119119118116114115116116116119119118117118118118118118118119119119119117117117118117117117117117117118116116114113112113115114114113114114114115115114115115115115114113114114114115114114113113113113114113112113113112113113113113111111110110110110110110110109109109107107108107108107107107107106106106105105105105105105105105105105105105105105105106106106106106106106106106106106106107107107107107108108109109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999122122123124123122120118117113112114113115116117116115999120112109113112112113112113118118122125130133136137138138138139139140139140139138137136135135136135135134133133133132131132131133133133133132132135137137135136135136135135134133132132132131129128126128131133132131131132131130128127126123120119120119121123122124120118119120120122124125126127127125126127127127127128128127127126125125124124123123123123122122121122122121121120120119119119119119118118117117118117116116116116116115115115115114113112111112111109107107106106105104105103103104104104103101 99 97 97 94 94 93 90 92 94 94 88 83999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999128127124120119121122123121121122123122122122122122122122122122121121121121121121120118117118118118118118117116117116116116116999999117120119119118116116114115115117118119118118120120119119119119118118118118117118118118117116116116117117115115116114114113114114114114114114115114115115116116116114114114114114113113114113113115114113113113112113112112112114114113112111111112111110109109110110109109109109108108108109107107107106106106106105105105104104104104104104105105105105105105105106106106106106106106105106106106106107107107107108108109109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999121121120121121122123123123123123122121119120999122121120121999999999999999120120108109108110114117119123128130133135137138139139139140139139138137136134133133133133133132133132132132132132132132133135136135134134135136136137137136135134134133133135134133131131130131133136134135137135134133131132132130128124121122122124127128127126125125125125125126126126128126125126127126127127126126126125125126125125124123123123122122122122121121121121120120120119119119118118118118118117116116116116115115115113114114111111112111111110108108107107107106105103104104103101101 98 96 94 95 94 94 93 91 91 94 92 87 87999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999128124122120122124123122121123123123124123122123123122122122122121120120121121121120118118118118118119119119118120118117116117999999117121120118117114113113114117117117117119119119118118118117117118118118117118117117117116116116117117116114114115115115115115114115115115114115114115115115115115114114114113113113113113112113113113112113112112114112113113113111110110110112112111111109110110109110110109109110110109108107105106106106105105105104104104104104104104104105105105105105105105106106106106105105105106106106106107107107107108108109109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999124123121120120120121122123124124124124123999999999120123123125999999999999999999115110108109110113115116118121124127128130133135136137138138138138137136134133132131131131131131130131130131132131131132134135137135136136136136136136136136136135135134133136135135133133132133138138139138138138138138139139136135133130127126124125127129130131132130129128127127128127128128127126126126127126126126126125124125125125124124124123123123123122122121121121121121120120120120120119120120119118117116116116116115115112114112111111110108110109108108108108107107106106106105103101 98 97 95 94 92 92 94 94 91102 94 92 85 88999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999124123121123123124123122122123123122122123122121122122121121121121121121121121120119120118118119119120120120120119118118118118999999999120119115113112113114115116116118118118118118117118117117117117117117116117117117116116116116116114114115115115115115114115116115114114115115114114114114114114115114113113111111112111111111112113113113112113113112112112111111111111111114114112111111109109110109109110109110109108107107106105105105105104104104104104104104104104104105105105105105105106106106105105105105106106106106106107107107108108109109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999132125124122121119119121123124124125125125124124123123123123124999120999999999999999111110112113117117117119119122124125125127130132133134134136137137137135134134133131130131131131130130130132133133133134134136137136137138138137136136136137137137136136136136135135134134133135138140142140140140140141140140138138137135133131128127126127129132133133131130129129129129129128129128126126127126126125125125124125124124124124124124124124123123123122122122122122121120120121120120119120120119118116117116116116114115114113111110110109108108108108107107107106106106105105103100 98 97 96 95 93 91 89 92 92102 93 91 81 85999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999125121122124123122122123123122123123123122121121122121121121121122122121121121120120119119120121122122121121120119119118117118117999999116115114113113114115116118118118118118117118119117117117117117116117116117117116116115115115114115116116114115115115115115115114115115114114112114113113113112112112112110111111111111111112112113113113113111111111111111112110111110111111111110111110111109109108109109108108108107107106105103103104104104103104104104104104104104105105105105105105105106105105105105105106106106106106107107107108108109109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999132125125122122121120120123123132127125125125123123123123123124123123121999999999108109109109115117119120122124124124124124125125128130133134135136137136136135135134133132132131131130131130132133135134135136137138139138138138137136135135135136136137137137136136136137135135136139140141142143142141140141140139139138136134132130128127128130132133133132131131130130130130130131130129128127127127127126126126125125126125124124124124124123123123123122123123123122121121121121120121121120119119119118117117115115114115113112111110109109109108108105106106106106105104104101100 97 96 96 95 93 92 91 93 94 94 93 91 78 83 85999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999121120122124124123123123122122122123122122122122122122122122123123122122122121122121121121120120122122122120120120120119118115114117116116116116114112113114115116999117117117116118118117117117116117116116116116117115114114113113115115116115115115114115114114114114114114112114114114114114112111112112110110111110110110110111111112113113112111111110110110112111111111113112112110109111109110109110108108107106108107107105104103102102102103103103103103104104104104104105105105105105105106105105105105105106106106106106107107107108108109109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999123127125124125127129124124125124124123122123123123123122119119119111109111115118118120122121123126127127124124122123125128133135134135136136136136136135135134133133132131130130132132134135135136137139140139138138138136136134133134135135137138138139138138136137135138142142143143142141141141141141140139138135134133133133133134134134134133132132132132132131131131132132131130128128128128127126126126126125124124124123124123122123122123122123123123123122121121121122121121120119119119119118117117115113113111111111110109109109109107105107107106106105105103100 97 96 95 94 93 91 91 93 93 92 92 89 81 86 92999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999122120121120122123123123123122122122121122122122122123122122123124125124123123122122122121121121121121121122121120120120120120119118117117117117117115114114113114115116115115115116116117118118118117117117117116117116116114114113113114116114114115115114114115115115115115115115113112112112112112111112111111111110110109109108109110111112112113113111109110110112111112112112110110110110109110109109109108108107105106106105105104103102102101102102103104104104104104104105105105105105105106106106106106106106106106106106107107107107107108108108109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999122999999999999999999999999999123120118118119120119119116114114113113115118120120120121122124127127124122123124124125129132133134134134134134133132131130131130130130128129132133134136137137140141141141139137137136135133133132134135136136138140139139139139138139142143143143142141140141141141141140137137138138138137136135135136136135135135134133133133132134134133131132132133131129128128126126125125124124124124124124123123122123123123123123123122122121120122122121120120119119119119117117116114113112110112109110110111110109109106107106105103101101101 98 97 97 95 91 93 91 92100 95 93 93 82 88 93999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999111112112112999999999999999999121120119120118121122123123123122122122121121122122122123124123123124124124123123123123122122122121121121121120121121121120120119119119118119118116116115114114114114115116116116115115114116118118118117117117116117116114115114113113113115115114114114115114114114114114113113112112113112112113112112112112112111110110110108108108108109112112113111112111108111110111110112112110111111110110108108108108108108108108107107106105103104103102104102104104104103102104104104105105105105105106106106106106106106107107107107107107107107107107107108108108108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999123120118116116117118119116115118114113115117119120120120119121122123124124122123122121124128128129130129128129128128128127127128128131131133135136137140143144144144143141136133131136134134133133134135136137137140139141139139139141142146145144143142141140141141140139138139140140140139137136136137138138139139138136135135134135135134136135136135135132130128128126126126124124124124124124124123123123123122122122122122121121119122121121120120119119119119118117117116115113112112109109110110110109108106106106105104101100101 97101 99 95 93 90 89 90 92 93 94 95 97 96 91999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999120119118120117117117119121121121121121121120120119121122122122122121122121122121122122122123123123123123124124123124124124124123122122122121121121121120120120120120119118118119117116116115115115114114116117116116117116115116117117116116116116115115115115115115114114114115114114114114115115114114114114112112111111112111111111111111111111111110110109109109110109109111112112113111111111108111110111111110110108109108109108107108106106106107106106106106106105104103104105104103105105105105104105105105105105105106106106106106107107107107107107107107107107107107107107107108108108108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999123127123119116115115115116118118115114115116116118120119117116116117119121121121121120120126124124124124124125126126126126126126128130133133134137138141143146146144143142137135140140134135135134134134135137138138139139139139140140140142144145145145144142142143142141141140140141141141141140139139139139141141139139139138137137137137137136136136136136134133130129128127126126126126126126126125124123123123122122122120121121120121121121120120119119118119120119118117117116115114112111111110110109109108107108106105104103102101101101102101 95 93 94 93 93102 96 97 99 99 94103999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999119119119119119118117117118119120121122122120120119118119122122122121120121123123124124123124123122122122122122124124124124123125125124123122122121121119120120120120120120120119119118117117116116116116115115117117117117117117116115115116116116116115115115116116114114114114114115113114113113113114114115114115113113111111110110110110109109109110110109109109109109110109109111112112112112110110110109110111111110110109107109106107107107105105105105104105106105105105105105105104105106104104105106106106106106107106106106106106107107107107107108108108108108108108108108108108108107107107108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999133125120117116999999999119118116116116115114115116115115999127123123120120121125128999999124120123121119120121123124124126128128132135135137140141143144145146145145147999999999999140132135134134135134134136137137139139140140140140141143145145146146145145145145145144144143143143142142142141141140142142142141140140139138137136136135136136135134134133132130129128127127127128128127127127127127125125124123123123122122121121122122121120120119119119119119119118118117115115115114112112111111110108109109108108107105103102102102101101100 97 96 97 96 96102 95 99103106103 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999118119118118118118117117118118118119118119119118117118118118120121121122120121123124124125125124123123123122122124124124125124124124125125125125124124121121120120120120120120120119119118117118116116116116116116117117117117117118117114115114114114115115114114113114115115114114114113114114114114114113114115114113114113111111110108110109110110109109109109109110110109109110110111109110111111112111111111111112111110111110109108108106106104103106105105105103104104105103103103104107106105105107106105105106107106106107106107106106107107107108108108108108108109109109108108108108108108107107107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999135130126999999999999122119117117117117117116115116116116999999999999999999999999999999999999122122121121121120123126126127128130135136138140142143145146146148148147147999999999999999132133133134134134134136136137138139140140140140141142144145146146146146146146146146147147146145144144144143143143142142143142140139140139138137135136135134134132131131130129129128128128129130129129129128128128127126124124124124124123123123123122121121120119119118118118117118118117117115116115114113113113111110109109109107106105104104103103102101100 98 97 96 97 97 96 95 98104105105103999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999121120119119119118117116116115116115116117117118117117117118119120120121123122121121122123124124124124123122122123123124125125125125124124125124124124124123122120120119120119120120120120119118117117117116116116116116117116116116117117116115115115115115115115115115114114115114114115114114115115114114114114114114113113113112110108108107109107108107108108108109109109109108108108109109110110110111111110110110110111111109110109108107106104108105103104104103104103104105105103102102105106108108109107107106105107106105106107106106107109107107107108108108108108108109109108108108108108108108107107107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999150139136138121999119118124121116115116118119118118116117117125999999999999999999999999999999999999999126123121122122123125126128132136139140141142145146148148149148149148147142999999999999133134134134134135136136138138139140141140140140142143144145145146146147146147147147147147147146145146146144143142142141140140140139139137135134134134132131130130129129128129128128128129130130130129128128127127127126125125124124123123123123122122121120120119118118118117117117117116115116117114114114113112111110111110109108107107106105104103102101101 97 94 95 95 97 95101105107109102105999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999120121121120118116115115115114114115115115116115116117116118119121121121121122123123123122122123123123123123123124124124125125125125125124123123123122124124123122121121119119121120119119120119119118118117116117117117117117117117116117116117116114114114116115116116115114114114114113114114114115115113113113114114114114113113111110108108107106105104103106105107107108107108109107108108109109109109110111110110109110111110110111109107105106106105104105102101103103102102103103105103103105106107108108109107108107107108108106107107108106107107108107108108108108108108109108108108108108108108108107107107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999148141142142121999999999999999115114114116118116113111119120999999999999999999999999999999999999999999999999122122123123123126129135137139141142144145148149150152150150151150148150999999134133134134134135136136136138139139139139139139141142143144145145146146146147146147147148149147146147147146146144143142141140139140139138138135134133133132131129129128127128129128128129129131130129129128127127126126126126125125123123121123122122122121120120119119118118117117116116115116115116113112112113112111111111112110108108107106106105103102101101100 96 95 93 94 96103106107104100104999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999125124122118117116115113113113113114114115115116117117117118119121121120120121122123123121121122122123122122123123124123125124124124124124123123122122123123123123122120119118119120120119119119119118118117117117117116117117118118117117117117116116116116116115115115115115115114112113114113114114113113112113113114114113113113111111109109107105104104102102105104105105106108109109108108108109109109110109110111111109111110108108107106104103103101103104103102102102102102103102104103104105107107108107107108108108109110110109106107109109109108109109108108108108108108108108108108108108108108108107107107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999128123122121121999999999999121117113113115116114114999999121999999999999999999999999999999999999999999999999125126126126126128131137139141144144147147148149150151152152152150149150999999133133133133133135136137137138138139138139139139141143144144145145146146146147147148148148148148148148147147147146145145143142141139138137136135133132131130129128128127127128129130130130130129129129128127126126125125125126125125123122121122121121121121120119119118118117117117117117116115115115113112112114113112112111113113111111109108107106105104103101 98 96 96 96 93 96112103102 99101101999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999124125124120117116115113112112112112113114115116116117117118119119120120120119121121122122122121121121122121122122122123123124125124124124123123122122122121122123124122120118117119118118118119119119119118118118118118117117118118118117117117117116116116116116116115116116116116115114113114114113114113113112112113114114113113112111110109109107106104104104102103105105105106107108109108108109109109110109110110111109109109109107106105103103102101100101102103102103102102102101103104104105106107108108107107107110108109110111109109108108108108108108108108110108108108108108108108108108108108108107107107107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999122117115114115118128999999127127999999999999999999999999999999999999999999999999999129129129129132135140141142143145146146147147147147150150151147145143145999135131134134133134135135135135137138138139140140141143144145146147147148148148148148149149149148148148147147146145145144144142141139139138135134131132130129129128128128128128129130130130129129128127127126125124124124124124125124124122121120119119118119119118119119118118118118118117116115115115114115115115114112112111113114112113111110108107106104103102 98 97 96 95 94 94 97100 99 99 95 98 94999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999124125122120117116115115114114113113113114114116117118117119119119119119119119120120122123121121121121122122122122123123122122123123123123122122122122121122122122123123123121119118118117117118119119118117118117118118118118118119117117117117117116115114116117116115115116116115115115115113113113113112112113114114114113113113112111109109108109108106104104105106103103105105106108108108108108110110108108110109109107107106106106104103101101101101100 99101101101102104103106103103104104105106107108108107106108109111109111111110109109108107106107107109109109108111108108108108108108108108108108107107107107106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999119127125123120119118118999999999127127999999999999999999999999999999999999999999999999999999999131128129133137139142143144146146148147147146147148148147147144144999999999132134135135135134134134134136138139140141142143143145145146146146146147147147148148148148149148148148147147146146145143142142140139139137135133133132130130129128128129129129130131131129129129128126125124124124124124123124124123120120121120118118118118117117118119119119119118117116116115115115114115114113112112112112111111112112109107106105102101102101100 96 95 95 95 95 98 97 96 80 94 93999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999124123121120117117117117115115115115114114116116118119119119119119119120121121120120120122122123122122122123122122122122121122122122121122122122121120120122122122121122122121120119118117117117118118117116117118118119119119118119118118118118117117117116116115115115115117117117117116116116114113113113114114114113113113113112112110108107106109107106105102105103100102106107106107109108109110109108107109109109109108107106105105103103102101102102 99 99100101103104106105106104105105104106108107107108107107109109108109109109108108107107107105107107108108108108108109109108108108108108108108108107107107106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999120119119119118118119999999999999127127999999999999999999999999999999999999999999999999999999999999999999131133136138137138144149149149148145145147147150142142145999999999999136133132134134134134134134135136137139140141143143145145145145145146147146147148148148149147147147147146146147146145144144142140137139137136136136135133131131131131131131132131131130129129128128126125123124124124124124124123122122121121120119119118118117117117118119118118118117116116116116115114113112113113113112112111110110109108107105104102101100100 98 95 93 92 93 99 98 97 95 93 92 94999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999122121120118118117116114114115116116116117118119119119120119120120120121121120121121121120121121121121121121122121121121121121121122122122122123122121121121121120121122122122119119119119119118118117117118119119119120119119118119119119118118118118117116116117117118117117118117117117116114113113112114114114113112112112111109108108107106105107104105102100101104100101107106107107107109110109108110110108109107108109109103103103102102102100 99 99 99100101104105107106107107107104105105107106106106107108110110110108108108107106105104102103104106107107108108110110110109108108108108108108107107107106106105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999142144133135144150152153149146146999999140142143999999999999999999131132133134133133132133134135137138140142142144145146145146145145146146147148148148148146148147147146147147146146145144143141140139137136136137136135135134134133133133132131131130128127128127126125125124124124124123123123123122122120120120120118118118117117118119118117118117117118118118117116115114115115115113112111111110108108108107104100 99 97 96 95 93 91 89 99 97 95 92 93 93 92 87999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999122121122120119118117116116115115115116116117119120121120119121120121121121121121120120121121121120121120121120121122121120120122122123122122123121121121120121120121121121121122121120119119118118117118117118118119119119119119118119120118120120119119118117116117118117117117117117117116115114113112113114113112112112112111110108108108106106105107107105103101102104104101102102103105106108108108109110109109108107107106108108104103103102101 99100101101102102103104106107107108107105104105106105106106107109110109110108108107107107104102101101101102106106108108110110110108109107108108108108107107106106105105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999150151152150154156157999999999999999999999999999999999999999132130131134132132130131132134137136140141142143144145145145144145145146147147147147147146146147147146146147146145145143143142140139138136136136136135134134133133133132132131130129128127127126125125125124124124123123123122123122121121120119121120119118118117118118118117117117117118118118118116115115115115115114113112111109107107107107104 98 96 94 94 93 93 92 87 87 87 90 92 94 92 91 88 84999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999120122119120119117117117117117117117118119119120121120120120120120120120120121120121121121120120121120121120121120120121121122122122122122122122121120120120120120120120120121121121120120118118118119118119119119120119119119119120119117117118120119118118117117117117117117117117116115114114113112113113112111112111110110109110106106106105105106107107107104102102104105102104100104106104107108109112111108108110108107107107104103103103101100101102103103103105105108109109107108107105105106107108108108109109109109109107105105103105103101100101103106106107107108110111108109108108107108107107106106105105104 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999161163161162999999999999999999999999999999999999132132131131133131130129129131133135137139140142142143144144144144145146145146147147147146146146146146146147146145145144144143142141141138136136135134133133133132132132131130130129128127126125125125125125124124124124123123123122122122121122122122121120120119118118118119118117117117118117117117115114114114115115114113112110107106106106105103100 98 96 94 94 92 91 88 86 85 88 91 92 87 88 86 95999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999120121121120119119118118118118118119119119119120122120121121121121121121121121121121120119119120122121121121121120120120120121122121122122121122121121120120120119120121120121122122119119118119118118119119119120118119119118119119118117118119119116118117117118117117117117116116115115114114115111113112110109109110109110108108108106106107106107108107108108107103103103104105105104104103105107109108112110109106108106108108103104104103103102103104105106104105106107108108107108108108109106107108109109110109110109109107105104104104102102102102103104106107108109110111109108108108107106107107106105105104104 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999171167163161999999999999999999999999999999999999999131131130133133130127126129130132135138139140141142144144145145145146145146147148147146146146145145145146146145145144144142142141141138137136135134133133131131131130129129129128128127126126127126126125125124124124123123122122122121121122122122122121120120120120119118118119116116116115115114114114114114115114113112110109107106107106104103101 99 98 95 92 91 89 85 84 84 85 89 91 93 93 90 96999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999126123122121119119999119120120120121120119119119119119118119120121122122122122122122121121120121121122121120119121121121121122122121121121121120121121121120121121121121121121120120121121120119120121119117118120119119119119119118120118117118115116116119117117115116115116116115114115116116116115115114114114113113112111111111110110110109109110110108108108106107108108109108107107105103100100103102101100104112112111111109107105107108108109104105104103105104104104104105106106107108108108108109108108108109110109108110109108109108106105104104103105104103104104105106107108110111111111111108108107106107105105105105104104103 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999159159999999158167167166162159154999999999999999999999999999999999999134134131133132130126124126127129133136139140141141143144145144145146146147147146146146145144143144144144144144144144144143141142141138137136134133133132131131130129129129129128127126126127128127127127126125125124123122122123122121122122121121122120121121121120120119119119118116115114113113113113113113113113112111109110110109110108105104103102101 98 96 93 89 86 83 84 84 84 89 91 87 90 96999999999999999999999999999999999999999999999999999999999999999999999999999999999999999120122123122122123121120120119120120120120120120120120119119121121122121122122122123123122123122122121120120120120120119121120121122122122122122122121120121122121121122122122122121121121122120121119118121121119116118118119119119119118119118118119116115117115116115115115114114115115115113115115115115115115113113113113112113111110111110110110112111109107109106108107108109108108108107107107106106104101 99 99103103108108109100103101100101107109106106105104104105104104105105106107107107108108108108110109109110110109107108110107107108108106105105105105105105105107104104109108111111111111112112109110109106105105106107107103103102 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999160160160166165165162161156153999999999999999999999999999999999999999130130132131128125123124127129133134137139141141142143145144144145145145145145145146145144144144144144144144144144143143142142142140138137135134133132131130130129129130129128127127128128129129129128127127126125123123124122123123122121121122122121121121121120119118117118118117116115115115114114114113112112112112112112112112112110107105103103102100 97 93 90 87 84 85 84 85 86 89 87 95 97999999999999999999999999999999999999999999999999999999999999999999999110108110999116117117118120119120121120120120120120120120121121120121121121121121121122122122122122123123122123122122122119119120120120120121122122123122122122122122121121122122122123122123122122121121122122120119118119119120120118118119119120119120119119119119118117117119117117115114115114117115114114114113113113113114112111110111111111110108108109107108111111110108106102104107107108107108109110108107106106104102 98 99104999999999999999103103101102103104105104104105105105105105106106105107108108108107109109110110111109110110109107107106106106108109109106106108107106106107106106109111109108109108109109110110108107105104105106106106104102101 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999161160159158157156156156999999999999999999999999999999999999999999128130128127124123121126127129133135139140141143143145145144144145144144143144144144144144143143144144144143144143143143143142141139138137136134133132130129128128129129129128128128129129129129128128127126125126124124124123123123122123122121121121121120118117117117117117117116115115115114114114113112110111112113113112113113112109105104104103102100 95 92 90 84 84 84 84 85 88 83 96 96100999999999999999999999999999999999999999999999999999999999999999999999999110112114113113113113114116119119119119119119119119120121121122121121122122121121121121122123123123123123122120121120119119120121121121122122121122121121122122122122122121122122122122121121122121121121121121121121120120120119118119118120120121120120120119119118119119118117117115115115115115112112112112110110110109108109107107108107108108109108110108108107109109106102108107107108108109110110110109107106103101100 99103100999999999999999102102102102103103102103104105104105105106107107108109109108108109110110110110111109109109107108108108110109108108109109110108107109108108108109109108109107107106106108107107108107105105105104104102100 99 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999161159158157156155999999999999999999999999999999999999999999999129129127126123121121124125129131132136139141143144144145145145144144144144144144145144144144143144144144143143143143143143142142141139138138137135133131130129129129129129128129129129129128128128128128126126127125125125124123122123123123122122121120119118117118116117117117116116115115115116115114113112111112111112113113111111110108107104102101 99 98 95 92 87 85 84 87 85 88 88 91 78100999999999999999999999999999999999999999999999999999999999999999999999109111113111108104106107107109111111114116116117117119120121121121121121121121121121122121122122123123122122120119119119120121121121121121121120120119119120121121122122122122122123123122122121120121121120122120121121122118118118118118119119119120120119119118117118117117118117116114115114114113112111110109108108108109106106106105108108104109104106108106108109108109109109109108109110110110111111111110109108106105103104101 96 94 97 96 96 95 95 98 99103103102102104104105105106106107107108109109110109109110110109110110110109109108108108107107110110109108110110111108109112111109109109110109107106106106107107107107108108106105104103103102100101 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999161159157157156155999999999999999999999999999999999999999999999126128126125122120119121125127130133135137140143143145145146145145144144145145144144143144144144145144144143143143144144143142142142140139139138136134133131130130130129129129129128128129128128128127127127126125125124124124124124124124123122122121120119119117117116118117117116115115115115115114113114113113112112114114114113112110107107106103100 96 94 92 89 88 87 87 90 89 89 92 93 98103999999999999999999999999999999999999999999999999999999999999999999999112112113110105102104107107107107106106109111115118118118119120121120121121121122122122122122122122121121121121121122122123122122121121120119118119117118119119120120121121122122122123122121120120120119119118118119121120120118117118118119119118118118117118118117118118117117116115114113114113112110109108107108108108105105103104102106107106108107110105107108109109109110110110110110110110110110110111110109108107107107106103 98 95 96 96 96 97 97 98100101103103102102102103104106107106106106108109109108109110109108109108109109109107107108108107108109109110111112110110110110110109110109109110107106106107108108107108108108106107108107106104101100 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999161159158157156156999999999999999999999999999999999999999999999126127126125121119120121125129133135137139140142144144145145145145145145146145145144144144145145145145144143144144144144143143143142140139139138137136134132132131132131131130130129129128128128127127127127126125126126126125124124125124124123122122121120120119118118118117117116116116116115114111112112113113113114114114113114112111109107105103 99 96 93 90 88 88 87 88 90 90 89 91 95101 97104999999999999999999999999999999999999999999999999999999999999999999114113113111105102106107107107106104104104108112115117117118120120120121121120121121121122121120121120121122121122122121121120120120119117117116116116117117119119119120122122123123124121122121119119120118118118118119119118118118119119118118117117117117118117119119118117116115116114115114114113110108107103104106105105102102102101105106106108108109106108109109109110110110109109109110108109108109109109109109108108107105102103 97 96 96 96 97 96 96 97100101101101102103103104104105104105107107108107108109107105106105105108106106105106107107107107108109110109111109108109109109107106107109111109107107108108109108108109107106105105105104101100 99 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999162161159160157157156999999999999999999999999999999999999999999124123124123124121120118121125130132135136140142143144144145144145145145145146144144144145145144145145145144144144144143143143142142141140139138138138137135135132132132132131130130130129128128128127126127127127127127127126125125125125124124123123123122121120119119118117116117117117117117116114114113113113113113113114114114113113112112110107104101 99 94 92 93 91 87 89 90 92 91 93 96 98106 90100999999999999999999999999999999999999999999999999999999999999999116113112110103103107108108108107106104103106109112115116117118119120121121121121120120120120120121122123122121122120120119120119118118117117116117116115117118119121122122122125123122121121120118120119118117120118118119119119119119120119117116116117117117119118118118118117116116114113114113109108107105104105104104 99100102103103104105110109107108106108108108107108107108108112107107106107107108107107107108108108108106103 99 97 94 96 96 95 94 95 98 98999 98 98100101102102103103104104104105106105105105104103103101100100101100102104104104105106107108108108108108108108109108108107108108108107108107107109109110110106106103102102102102 99 97 96 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999152157160157159999999999999999999999999999999999999999999122119121124120121120117117120124127130134137140141143145144144144145144144144144145144145144145144144144144143143143143143143142141140140139139138138138137135134133132132131130129129129128128127127127127127126125125126127127126126125124124124124123124123122121120119118117117116117117117115115113113112112113114114114115115113114112111111109107103103101 96 96 96 95 94 92 90 91 93 94 95 95 96 87106999999999999999999999999999999999999999999999999999999999999999110114111108104102107108108109108107108105106106109113114116118119120120121122121120120120120121121122123124123123122122121120120119118117117115115116117116117119121120123123124123122122124123119119118118117117118119119119119118118119119117117118118118119119119119118118118116115114115114113108105104106107105104104103 99100 99105105106107108106107107106106106105107105106105104103104106106105105105104105107107107107106103103109108 96 96 95 94 95 96 97 97 98 98100100 99100102102102102104104104104103102100 99 99 97 93 90100 97 98 98100101103105106106107108109108109109109109109108108107108108109109109109110109109105103103102102101100 98 96 92 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999161161163161999999999999999999999999999999999999999999120119122120121120118115115117121125130136139140142144144143145144145145145144144144144144144144143144143142142142142142142141141141140139139139138138138136134134133132132131129129128127126127126126125125126126126126126126126125124124123123124123123123123123122121121119118116116116115114114114113113113113113113115116116114114112111110109109104103101 98 99 95 95 97 98 96 96 94 95 97 96 97 99 89106 96999999999999999999999999999999999999999999999999999999999999116113109106103102104106106107107108108106106107107109112116118119120119121121121121121120121122122123124124123123122122121121120119118117116116117116115116117119120120121121123123123124122121118119119119119118118118119119119118119118118119118118119119119118118119118118118116114114113113112109106107107107106104100 99103102103103104104107108106105103107103103106105106103103102102102103102104103103103104105106106106105104110110104 99 96 95 93 94 95 95 96 97 97 97 97 96 96 97 98 98100100101102102100 98 95 96 95 93 91 89 91 92 95 95 96 97101101103104105107108108108108107106107109108108109108109110111111110109105103102104102102100 96 90 90 91 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999161159999999999999999999999999999999999999999999122119120119120118116115116117121127132137139141142144143144144146146146144145144145145144144142142142142142141140139140140140140140140139139139138137136135134132132132131129128127128126126126125124125125125126126125125125124124123123123123123123123123123123122121121118117115115115114115114114114113113115115113113116115115115112112112109109107104103101101100 96 95100 96 99 98 99100 98 99102 89 86 97999999999999999999999999999999999999999999999999999999118114114111106103102101101101103102103104105104105105105106108112117119119120120121122123120120121123124126125124124123123122121121120119117118117114114115116116117119120120122123123123122122121122122119118119119118118118119118119119118117117117119119117119118118118119119118118116115114114113112111108107107106106104103103103103103102103106103103105103105106107108103104107108104103102102103103103102103102104105105105104104104108106106104103 94 94 93 93 93 94 94 95 95 94 92 94 96 95 95 97 97 98 99 98 97 96 94 95 95 94 92 90 91 89 87 84 82 87 98100102104104106106106104104104103104105107106105104105109110110109105103103100100100 98 95 92 90 90 91 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999156159161999999999999999999999999999999999999999999999124121123124121119117116119122125131135139140142142144144145146146146146144145145145145144143142140141141141141139140139139139139139140139138138138137135134133133131131130129127126127126125125124124124124124124124124124123123123123122123123123122122122122122121121121118117117117115113113113113112112113114113112112114112113112113113113111109107105103103103101101100100101 98100100101101101101 92 88 99999999999999999999999999999999999999999999999999999999116113112107104102101 99 99100100101101100100100101102103105107111115118119121121121122122121122123124124124124124124124123122121121121120118118116115114116116116118119119120122123123124122122123119122121118118118118118117118118118118118118118120120117119119119119118119118116117115115114113113112111108107108107107106105105105104105104103100101102102103103104105104105106106106105105103102102103103103103102101103104104104102104107102106100100 94 94 92 92 91 91 91 92 92 91 91 91 94 93 94 94 95 96 98 98 94 95 93 94 95 94 93 92 91 89 88 88 87 87 85 85 99101101103104102100100100 99 98100100100105104105106104107104104103107105100 86 84 82 91 89 89 92 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999162159160999999999999999999999999999999999999999999125124123122121119116118121126131135139141142142143144144144144145144144145145145145145145143141141139140140140140139138138138138138138138138137137136133133133132131130130128127126125124124123123123123122123122122122122123123123122122122122122120120121121120119119119118119119117116113112111111110110111111111111111111111113114115111112112110110109106106106106105104104101100101101102102103104 98 91101999999999999999999999999999999999999999999999999999115114112108104102101 99 99100101100100 98 97 98100 99 99103104107112115118120120121121121122122124124124124124125124124123122122121121121120119118118117115114116117118117118119121122122122122123123119121121121119122119120118119118119120121121121120119118119118118118118119118118117114115115113113112111109109108108107107107106106106106101100105102105106103104105107107108109109108107109104102102101101103103103102103102103103103103102101100100 99 99 98 91 90 90 88 89 89 90 90 91 92 93 93 94 94 94 96 97 96 94 95 93 94 95 94 92 91 90 87 89 88 89 89 87 87 98100100100 99 88 99999 98 94 92 92 91 95 99 97 98 99100102103101101105 99 94 84 98999999 96 91 95 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999158161162159160999999999999999999999999999999999999999999999126123123120118116118124130135139140141142142143143143143142142141143144145146145144145144141141139139139139138138137137137137137136136137138138136135134134132131131131130127125125124124123123123123123122122123122122122120121122122121121121120119119118118118118119120120119119117114110110109109109109109109109110111111112112113110110111111111109108109109108107107105104103103103104103103105101110102999999999999999999999999999999999999999999999999115113111107104102 98 99101102101 95 93 93 96 96 98 99 99 99104106109113116119120121121121123123123124125124125124125125123123122122122122121121120120119118117117117117116116117119121121122121122122119120119119120121123122118119119120120120120120119118118117118119119116118118117117116115116116114113112111109109109109108108109107106107107106107108108108109108106109111111111111110109108109106106106102100100101101102102102102103103103102100100 99 99100 98 97 92 91 90 91 88 90 91 90 91 92 93 93 93 94 94 96 95 95 94 93 93 92 91 90 89 87 88 89 89 90 89 85 97 97 98 97 90 90 87 83 85 86 90 85 89 87 99 96 90 93 96 99102102 99 99 96 95 94 92 91 89 90 93 93 97 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999163160163165162162164999999999999999999999999999999999999999999999122121120118117120126130134137139140141141142142141142140140140140141143144143144144143143143141139138138138137136136135136136136134135136137135134133133132132131130129128125124125123123123122122122121122122121121119119120118120119120120119118118118117117118119120121120119118115111110109110110109107107107109110109111111109111111112111110109110110110108108107106105104106107106105105106101 96104999999999999999999999999999999999999999999999114113108105102100 98100103101 98 92 91 91 92 94 96100 99 97 99104107111115118119120121122123125125124124124125125124124124123123122122121121122121119120118118118119118118116117118119120120121120121121120120120119119121122122122119120120120119119118118119117118119119118118118118117117116115115116115114115112110110110109109109109109108108109110110111111110111111111112112111111111111110111111109107107106103100100100101102103103104103103102101100 99 99100 99 98 97101 92 91 90 88 89 89 89 90 91 92 93 94 94 93 92 92 91 91 91 90 88 87 87 88 89 90 93 87 88 96 98 97 96 95 93 92 90 90 90 89 87 87 90 87 88 83 84 86 99 98 98 93 93 94 95 95 97 96 94 95 92 94 96 98 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999163162163163165166167167167999999999999999999999999999999999999999999130125121121119120122127130134135137139142142141141141140140139139140140142143142143143142142141140137136135134134133133134134134134133133132134133133133133132131130129129127126124124123122123122122122122122122119121118119119121119120120120119118115117115115117118120120120119118114114111111111110108108107109109111109108109108110111109112111110110111110106106107106105106107107107108107106101 98104999999999999999999999999999999999999999999115113111104101 99 96101103 98 95 94 93 91 93 94 96 99 99 97100104107112115117119120121122123125126125125125125125124123124123123125123122121121121120119119118118119120120121120119120119119119119120122121119119120119119121121122123120119120120119118118118119118119119119119119119118118117117116115115116116114112112111112111111110109108112112112113113113113113113113113113113111112111111111112112113109108108105102101101102100101102103103103102101100101101100100 99 99 98102 94102 86 89 89 89 92 94 96 95 95 91 87 89 86 88 89 89 89 88 87 84 85 88 89 88 87 90 93 99 98 98 97 95 93 93 92 90 89 90 87 84 84 84 85 84 96 98 92 97 92 93 93 94 93 97 97 96 95 92 94 94 95 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999162165165165166167168168168165999999999999999999999999999999999999999131126121120120120123127131133132135138141142141140140139138138139140140141142141141141140139139138137135134133133132131132131132132131132132132131132133132132131131129128127126125124123122122123122122121120121120122121120119122120120120118118117116115114114114116118119118117116113111111110111109109109108108109110108108107107109108109110111111111110108105105105103105106107107107109109108102101103999999999999999999999999999999999999116115113110105101 99 97101102 98 93 90 92 91 94 96 96 97 97 97100104109113116119119120121123123125126125125125125125125124123124124124124123122122121121121119119119120123120120119121121121117118120120121122121119118118119121119119121122119119120120118118119119120120119118119118119118117118117116116116115116117116114114113113114114113112112113113114114115115116115115114114114115112112113113112112112113110109109107103101102101 98 98100102102101101100101101101101100101100100103105105 88 87 88 89 89 91 92 91 89 88 87 86 85 87 89 89 89 88 86 86 85 86 87 86 89 92 93 97 98 98 96 93 92 91 91 90 89 87 87 86 85 85 85 87 87 85 87 88 89 92 91 89 92 94 94 95 93 91 93 93 92 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999171163165165166166167168168168168166165999999999999999999999999999999999999999999118114113122125131128130135136137140139139140138136137140139140140140140140139139138137136136135134133132131131131131130130130131131131131131131131131131130129127126127126124124124124122121123122120121121121119122122121121121118117117115116114113112111113114114114114114111110110110110108108107106107107107106106107106106106109107107107107107107106106103103104104106106107108109109104102104999999999999999999999999999999110112114112108106104101 97 99103101 96 93 90 90 91 92 94 95 98 98102107110114117119120120121120123124125125125125125125124123124123124123123123123122120121121121120123119123124121123120120120120118118121121120121118119118118118120119119118120121119119119118119119119120119118118119119118118117117117117117116116116117116116115116116116115115115115116116115116116116117117117117116116114114113113112113113114112111112110108105105104 99 98 96 98101101104104101102101101101101101100100100100104 89 87 86 85 83 85 86 88 89 89 87 87 86 87 89 93 93 88 85 86 87 88 92 91 91 92 97 97 98 94 93 89 92 94 95 94 95 87 85 83 83 85 87 86 86 89 91 94 96 90 89 90 97 90 89 90 89 87 89 90 89 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999163163165165165167167166166166167166165999999999999999999999999999999999999999123115116115113120128127128131133134136136138138138136136137138139139138138139139138137136137135135133132132130130131130129129129130130130130130130130130129128127126126127126125124124122122123122122122122123121121121121121118116115116119117116115113112111111111112112112111111109109110108107106106105107106106105105106106105107106103102103101101103103103104103103103103104105106107108108105104999999999999999999999999999108109111109105103102102100 96104104102 98 98 96 94 95 98100102106110112114116118119120120121123122124125124124124124125124124123123124123123122122121122119120121121120124118121121123123123119119120120120121122121119120120119119119119119120119119118118119119118119120120120119119119119119120119118119119118118117117116116116116116115117116116116117116117116116116116117117118117117118118117117116116115115113113113113113111110107108106100 98 99 99102101105104104104101101102102102102102102101 95 94 94 88 88 87 92 91 91 90 89 88 88 86 87 90 90 91 91 92 88 89 94 97 93 93 94 93 98 95 97 93 90 95 98 97 97 92 88 83 84 82 86 88 88 88 91 92 93 94 92 88 88 90 93 92 91 87 88 91 91 89 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999168161162163165165166167165165163163165166165165999999999999999999999999999999999999999111115113112111120122120122124128130130132133135134134136136137137136138138138138137137136135134133133132131130130130129128127128126127129128128127127126126125124125126126126125123122122123122122122123123121121121120121116116116118118117117115113112111110110111111110109108109109109109108106106106106106105105105104105105105102101100100100100102101100101101101102102104104104106107108106101 99999999999999999999999106105104101 99100101100 99 97 99107106104105105103104107109111113114115117118118118119119121122123123124124123124124126125124124123123124124123123122122122121120122121120121121121123120120118119120120120121121121121120120121121120120119118118119119119120120120120121122121120120120120120119119119118118118118117117117119117117116117117118117117117118117118117117117118117119119119119119119118118118118118117115114113113113112112110109108108104103104105106108110107105105104105105104104105105103 96 95 98 96 96 97 97 94 94 93 93 94 89 89 90 89 90 91 92 95 95 95 98 99 93 92 92 93 98 96 95 94 92 97101101 95 93 90 85 85 83 87 88 89 92 92 95 95 96 95 94 91 93 94 92 91 94 94 92 89 89 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999169161163164165165166165164163161161165167165165999999999999999999999999999999999999999999114112113111115115113112115117118121125128131133133135135136135136136137138138137137135135134133132132131130130128127127126127126126127127126126126126125124123124125125126126125124123122123122121123122121120120120121121121120120118118117115114113111110111111110110109108108109109108108106106105104104104104104104104105104103101100 99101101101100 99 99 99100103104104105105105105104101 96 95 99999999999999103103103 98 95 96 96 98 99 99 98 98103107108109111111112113114116117117117117117118119119119120120122122123124123123125126125125124124122124125124123123123122123123124123122121122122121121120120118119119121122122122122122121120120120119119119118119118119120120121121121121121121121119120119119119120119118117117118118119119119119117117118119117118118119119119118118118118120120119119119118118118118118118117118118117116115115114114113113111111111109108107111112111113108108107107107107107108108108105104 99100 99 97 96 97 96 95 94 95 98 97 96 93 94 94 95 95 96 97 98 98 96 96 97 97 97 97 98 98 98 98104103102102 96 95 94 93 91 89 90 94 97 98 97100 99 97 98 97 97101100 98 95 93 94 92 91 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999167160161162162163163163162160158159163165162162169999999999999999999999999999999999999999110116111116112111111113114116117118120123127130133134133133133134135136136136136136135135134133131131131131130129129129126127127126125125124124124124124123122123123124123123124124123123123123122121122121120117118119120120120119118117116115114112111111111111111110111110109108108107107106104104103103104105106105105105104104103101100101104103102100 98 98 98101103103103103100 96 92 92 90 92 91 90999 99102102102 97 93 92 94 96 98 99100101101107110110112114115117117118119119118117117117117119120120122121123123123124123124124124124125126125124124124124123123123123124123123123122125124123122121121120119119119120122121122121121121120120120120120119119119119120120121120121121121122121120120119119119119119119119118119119119119120120120119118119118118119120120120120119119119120120119119119119119118119118119117118119118119118116116117114115114114114113114113113113113113113113113111111111111111111109108109108106107 98 99 99100100 99 98 98 99100 99 98 98 98 98 99 97 98100 99 99100101101100 99101101103102103101 99 99 97 98 97 96 98 96 96 98 96 96100102102102104104103106106102100100 98 97 96 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999159159160159160159161160159157156158162163156161999999999999999999999999999999999999999999114114110110108109111113114116116117119122125128130131131131132133133133133133134134134134134133132129127126126128127127127128128127127126124123123122123123123123122123121121122122122122122122122122121120119121120120118118120118117115114115115114111112112112111112112112111110110108107105104104103102102103104103103103103102103100100100104104104101 96 95 92 95 98 99 98 95 93 90 88 86 85 87 88 95 96 97100 99 96 92 91 91 93 96 98101104104106112112113114116118118119119118117115114114114116117118121122123124124124124123124125125125127126124124121122123123124124123124124122122128126123122122121121121121119120120120122121120121122121121121120120119120120121121121121121120120121121119120119119120120120119119120119119120120119120121121121119119119119119119120121120120121121121121121120121121120120120119119119119119119119119118118118117116116115114114115115112114114114114115115114115114114114113111111109107109107105102101102100 99 98 99100102102101102103102102101102101102104103103104104103103105105104103102102101100 99 98 98100100102101100102 99104105105107109107109108106104106 99 99 99 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999158158157157155155157158157156154154155159157148999999999999999999999999999999999999999999999118113110111108110113114114115115116119122125129130129128129130133132131131131131132132133133132130129128125124125125124124125125126127127126124122122122122123122121119120121121121121121121121121121122122121121121119119118119118116114114115114113112111111112111111112112111111111110108104104104104101101101101100101102102102101101101101103104103 99 96 94 94999 97 93 94 91 90 88 86 85 92 86 88 91 93 94 94 90 88 87 88 91 94 97101104106108111114115115117118119119119119118116115114114115116118119120122124124125124123126125126124125127125124123122122121122124125124124123123122128126126124123122121122122121121122121121122120123121121121121121121121121121121121122122122120121121123122120120119120120121120120120120119120120122121121121121120120120120121121122121122121122122121122122121121121121120121120119119121120119120119119120119118118117116116116116117116116115116116116116116116116115115113113114113112108106104104103103103101102101100102103103104106106107107106106107108106106107107107110107107107106104104103103101100100102102104102101100103104106105106108107107107107106102101101102 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999158159158157154154154155154154152152152154154143999999999999999999999999999999999999999999999999117113112110112113114114114114114117119122127127127126126128130131129129130130130132133133132131129127125123124121122121122121123123123124124123122122121121121120119118119120119120121120121121121122122121120120119121120119114116116115115115113112112111111112113112112112112112110107105104104103102102100 99 98 99100102102100100101101104104102 97 96 95 95 94 94 90 88 88 89 88999999999 86 88 88 89 89 87 84 84 86 89 92 95100104107109112115116117117118119120120120119118117116116117117117118119119119122124125126127126125126126125124125125123121122122123123124124125125124124126126127125122125123124124122122123123122123121122122121122122122122122121121122122123123122123123125122121122121121121121121121121120120120121121121122122122122121121121122122122123123123122122123123123122122123122122122122122121120122121121119120120120119119118117116117117117118119118117116117117117117116117116117115114114114111110108107106107106105105106103102104105106107108108109109108110111111109109109110110113112112111110109105104102102102102103104104104102103103105107106108108107108109107107106103102103 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999158159157156154154153153152151149150150151151147999999999999999999999999999999999999999999999999120119114112113113113113113113113114114114117121120122123125126127126127128127128130131132132131129128125123122120120120120119121120121121122122121122122121120118117118118119119120119119120120121121122119120119120119119117116113115115116116114113113113113113113115113113114113110109107105105104103102101100 98 97 97 98 98 99 98 99102103104102 98 96 95 95 96 96 87 87999999 90 93999 87 87 87 87 87 86 85 83 85 87 89 95 99104107109112114116117120118119120119119119118118118118118118119118119119119122121124126128128128127126127128127126125123124123123124124125126125124125124125126126126124125125124121121122122123122122121122122122122123123123123123123123123123123124123123123125123123121121122122121122121121120120121121121121122121121121121122122123122123123123123122123123123122122124123122123123125122122121120121120120120119118119118118118119119119118119119118118117118118117118117118117116116115113112112110109108109108107107106105104106108109110111111111110111111112111111111111111111112111110110110110110110106106104105105105105105105105105107110109110111113113114112111110109108106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999159159158155154153152152151151151150150150151151151999999999999999999999999999999999999999999999999120120115111112112112113114112111112111112111113114117119121122122123125126126127130131132132131129128125124121119119119120121121120120120122121121121119118117116117117118118119118120119119119119117117118120120119118117116115112114115115116116115114115114113114114115116116115113111109106105103102101101 99 97 95 94 93 92 94 95 96 99102104100100 98 96 97 98 96 87999999999 90 90 89 87 87 87 86 84 83 84 85 87 90 94101104107109112113115117118119119120120120120119119118117116118118120120120119120123123123125127128127127127128128128125125125125125125125125126126126125125125125127127127126125125123122123123123122123123121122122123123123123123123123123122123123123125123124123123123123122122122122122122126121121120121120121122122122121121121122122122122123123123122122122122123122123123123123123123126123123123120120120120120120120120119118119118119119119120120119118119119118118119118119118118118117116114113113111111111110109111109109107108109110110111111112113112112112112112112111112112113112111110111109112111112107107108109108107109110110109109110111111111114114113113112109109109107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999160159157155153153152151150150150151152152145140999999999999999999999999999999999999999999999999122119114111110111111113113113112111110110111111112114117116119120121123124126127129130130130129129125128124121119120120121122120120120120119119119119119116116116116116117117116118118117118118117119118118119120118117115115114113114114115116116116116116116116115115117118116116113113111109107105103100100 97 93 93 93 92 90 90 92 93 98102101100 99 94 91 87 87 87 86999999 96 93 90 89 88 86 84 83 85 87 87 89 91 96101104106108111114116117118118119119120120120120119118119118117118118121121121121123122122123126127126126126127127128129127127126126126126126125126126126126126126126125128127127127126126123124123123123123122122121122123123123123123124124123123123124124124123123123123123123123122122123123123122122122121120121121121122123122122122122121122122123122123123122123125122122122123123123124124125124123122123122121121120120122121121120118118119120120120120120119120120119120120119120120119118117118116114113113112112113112111111111110110110110110111111112113112112113113112112113113113113114114113112113111111111110109110110111111112112112112113113113113112112113115111112111111112110 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999158159157155154153151151152152152152154153148140149999999999999999999999999999999999999999999999999119117109108109110111112113112112111110110110111112116116116118120122122125127128128127127127127126125122120120121121122120120120119118116116115116116116115116115116117115117117118118117116117119116116117117117116114109110111111111113114114113114112113114115116115115116114112113112111109106102101 98 94 93 93 93 91 88 91 93 96101101 98 97 94 90 89 87 88999999999999 94 92 91 88 86 82 82 86 88 90 92 95 98101104105107110113115117119119119120120120121121120120119119118119119119122121121121123121122123124127126126126126126126128128128127127127127127127126126127127127127126127128128129127126126124123123123124125123122123123122123123124125125125124123123124124125124124125124123123123122122123123122122122121121122121121122122122122122123123122125122122123123122122123125122122122123125125124125124123124124124122123122121121122122121120121121120120120121120120121121121121121121121121121121120117119117116115114113114113113112113112114112112111112113113114114113113113113112112113113113114114112112112111112113112112112113113113114114114115115115115115114114113114114113113113113114113 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999159160158154153152151153154154153154154155153141148999999999999999999999999999999999999999999999999120119119107107108109110110111111110110109109109113115116115116117119120123125124125125125124123122120120119120122122121120119117118118115114116115116114115114113115114115115117117117115116116116117116115113113112112111109111109109111111110110109109111111111112113114115113111111112110108106104100 96 92 91 91 92 92 92 95 97 98 97 96 92 92 92999999999999999999999 95 93 89 88 86 86 87 86 89 91 94 97 99101104104106109112114116118118118119120121120120121119119119119118120120120122121121121122121121123126126125125127127127127128127128128127127127127127128127127128128127127128126127127128127127126123124123123124123125124123123124124125125125126126126126124126125125125124124124124123123124123123123123121122122122122122122122121121122123122122122122122123123122122123124126122123123125124124125124123123123123124126122121122122122122122121121120121121121121121121120121121122122122122121122121121120119117116116115115115115114114113113112113113113114114115115115115114114114113114115115114115114114114114114114114116116115116116115116116116117117117116116115114113114114114114114113113 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999159160158156155153154156157155154155155155153144152999999999999999999999999999999999999999999999999999120105107105105108109109108107106106107108110112114115115114115117118120122122124123121120120121123123125123123122123122121121121119117117116116116114113111111112113113114115116117117116117116114113112111111109109112110110109107109109107105105105105108109111112110110112112112112109108107103 98 95 92 90 89 90 91 96 96 95 93 92 91 89 89 92 95999999999102101 98 95 92 89 88 86 89 90 91 92 93 96 98100102103105107111113115117117117117119119119118119120119119119119118120121121124123123123122122123125127129128127128128129128128128128128128128128128128128128128128128128128128128127127127126127125125125124124124124125125125124125125125125126127126127126126127127125127126125125125124124123123122122123121122122123123124122122122122122123123122122124123123122123122122124123123124123124123124124123123123123126125124123121121122122122124125123122122122122122122121121122122123122122123122122122121121121118117117117117116116115113113114114114114114114114115115115115116115115115115115115114115117114114114115116117117118118118116116117118118118119118117117117116115115115115115115114115 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999158159159158157156157156155154154154154153145140999999999999999999999999999999999999999999999999999115102105104104104107109108106107106105106106109112114114113114116116116118119119119119121123124125125125124124123125123124120121120119120118117115113111111109111110112113114114116115113113113111110109109110109109112110110110109108108107104104104105108108109109110111110111110109109108105100 96 92 91 89 87 87 89 91 91 89 89 90 89 86 89 92 95999100100101101 98 95 92 89 87 87 89 90 92 93 94 96 99101103104107110112114115115116115115117118118119119119119120119117117120121123124124125124123124125127128129129129129129129130129129129129128128128128128128128128128128128128128128128128127126125126126126126125124125125125125125125125126126126126126127126126127128127126126125125126125124124124123124124124122123123123123124123122123123123123122122123122122123124122122123123124124123124124124124123123123123124124124123122122123124123124123123122123123122123122122121122122122123123123122122122121121121120119118118118118117117116115115115116116114114114114115115115115117116117115117118118118117115115116116117117118118118118118118118118119120120120121119119118116117117117117116116116 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999157158160160159159158157157155153153153153154154155999999999999999999999999999999999999999999999999999999100102107103105105109110110108107107109109107108112113113110112112115116116118121123125124127126126124124123124125124124123123121120119119117113111111111112113113113114113113115114112111109109108105105105109111112110115113113111111111108107107106110109110112113113112110104107108108105100 98 95 93 91 89 88 88 91 90 91 92 93 92 86 86 94 94 95100102102101100 97 93 91 89 87 87 88 91 94 95 97 99102103105107109110111114115116116117117118118119119118119122119119119120123123124123128126125126127128129129129130129129129129129129128128129129129129129129129128128128128129129128128127126126125125125126124125125125125126126125125125126126126126127126127127127127126126125126126125125124124125124124124124123123124124124124124124125124125124124124123123123123123123123123124125124123124124127125124123123123122125124122122124124124125124125123123123123122123122121122122122123124124124123123123123123122122119119119119118118118118116115115115115116114114114114114115117117115117117115117119119117117117117117118118119119119119119120120120120121121121121121119118119118118118117117117117 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999157158158160160159158158158157155154153154155156155157999999999999999999999999999999999999999999999999999999999102104103101105107109110110110111112112110110108108110111111113115116116120125126124125125126125122121121120122122124125123121120119118118113112112112111110111111112112112112112109105105106106103103103103102105106111111111111110108107107106105106106108110112111108104101102102104104100 98 94 90 87 88 86 83 81 86 85 90 91 90 87 88 91 96 97 98 99 98 97 96 95 93 92 91 89 89 90 91 93 98 99101104107109110111112114116118118118118118119118118118117117124121120119121124125125124129126126127128129129129129128130130129129128127127128130130130129129130129129129129129129129128128128127126125125125126124125126126125125126125125125125126127126126128127128127127126126126126126126125124124125126125124124124124125125124125125124124124125125124124124124124123124124124124124124124123124124125124124123124123123124124124124124124126125125126124123123123123123123123123123122123124123124125124124125124123124121119119120118118119119118116116117116115114114114114114115115118116117117117117119120120120118118119119119119120120121121122122121122122122122122121123122122121119119119118118118 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999157156157157157157157158157157154154154156158157157999999999999999999999999999999999999999999999999999999999102101102104103107109110111111113112113111110109108109109111112113113114124124127126125125123122121120121121120120122124123122121119120118117115114113111110112113113113113112111109107106107106105103104104101104106106108108110108107105104103103104104105109110108104103101100 99 95 96 96 94 91 86 83 83 82 82 76999 75 81 85 86 87 86 89 90 91 90 92 91 92 93 96 93 92 92 91 91 91 92 97100100106109113113114117119121121121120118117116116115114114112114121119119120119124126128127130128128129129129130131131131131131131131129128128130131131131130130130131131130130130128129129129128127127126126127127127126126126126125125124125125125126126126126127128127127127126127126126126127126126126125127125125125125124125125126125125124124124124124123123123124124124125125124123124124124124124124126124124123124123123122124124124124124125125125124124124124123123124124124124123123124124124124123123124123124124123123121121121119120119119118119119119117117118117115115115116116116117117117117117118121119118119119120120121120120121122122122122122122123122121120122122121123122122119120119119120 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999155154154154155155157157158158157155155157158157159999999999999999999999999999999999999999999999999999999999999102100102107108109110109108110110109109110108107107109114112114118121125125125124124124122123123123122122123122121121121121119120119118118118118116112112113114114114114114112110110110109108105104106105106107107109110109110106104103100 97102102101105108110106102101 99100102 99 96 96 94 90 82 85 84 84 79 74 75 74 83 85 81 84 85 88 87 86 86 84 87 89 90 95 93 91 90 90 92 93 96100107105110115117119119122123124123121119116116113112111112111111112116116117116119125128130130132129129130130132131131132131131131131132131130130130131131131131131131131129130130129129129129129128127128127127127127127127127126127126124125125125126126127126127128127128127127126127125126126126126126126126127125126125126125126126126125125125125125126125124125125125125124124124124124124124124124125124125125124124123123123122124125125124125125125125125125125124124125125125125125125125124124124124124123124123124124123122122121121121120119119119120119120119118119118118118118118118117118117117118117118121119119119120120121121121121122121121121122122122121120120121121122122123122124122121121120120 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999157156157156156158160161161161161161160158158158158999999999999999999999999999999999999999999999999999999999999101102105110109110109109107106108108108108108108109112116115120122127125125124126126125124125126126123120121120119120120120121120119118118118118119118117118117116116116116116115114111104107106105107107108109110109110110108106 97 96 94 97 98101103103107108103101100100100102100 98 95 91 88 93 88 90 88 85 82 83 80 75 81999 80 84 85 85 80 79 80 85 89 90 91 90 91 93100100101106114114112115118121123124125125124121119117114112111109109112112112111112113115117121125128131128133129130132132131131131131131132131131132132132131131131132132131131131131129130130130130130129129128128129128127128128127126126126126126125126125126127127126126126126127127127127126126126126127127128127126127127126126126126126126126126127126126125126125125125125126125124124123123124123123123124124124125124124124124122122123123125126124125125126125125125125125125125125125124125125126125125125125124124124123123124123123122122122122122122121120121119120119118119119119120120119118118118119119118120118120121119119120120121122121121121122122123123123124124123123123122122122123123122122124123121121121 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999158158159159160161163165165165165165164161160162999999999999999999999999999999999999999999999999999999999999999113109107110112111111109110109109111111110110108109111115120124126129128128127127127125126126128127125122120119120121121120118117119117117118119120121121121119119118117117115113110106104104106105107109109109107108110111109 99101103 99 95 96101103105107109103 99100101102104104102101 95 93 98 91 87 86 83 79 82 85 87999 79 83 84 84 85 82 81 81 83 88 88 90 91 95101105110111112112114117120122125125126125124122120118116114112111110110112110111111114114115119122126128129131132130130131131131131131131132132132132132132131132132132132133132131130130130130130130129130130128128129128128128128127126127126126126126127127126126125128125125126126127127127128127127127127127127128127127126127127127126127127127126127127127126125125125125126126125125125125124124123124124124124123124124125124124124124124123124125124124125125125125126125125125125125124124124125125125125125125125125125124124124124123123123123122122122122121121121118119119119119119120119120120120120120119120120120121121120121121122123122122122122122121122123123124124124125124125123122124124125125124124125123121122 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999159160159160161162163164164165166168168166166165165999999999999999999999999999999999999999999999999999999999999999999114104107109112109109109109113113112113116116117119121123129130130129128127127126126128129129128125123123122121122120121120119117118116117119120122123121121120119118116113112110106105106109106108108108107108109111112108102 99100 97101 99102104106106107101100 99103106106102104103101 96 98 94 92 87 83 83 83 85 85999 80 80 85 85 84 84 83 83 87 87 93 96 98106110112114116119120121123123125126126125126123123119117115112111110109111109110110111112116118120125129130132132131131131131132132132132132133133132132132131131131130130131131131131131131130130130129129129128128129129129128128128128128127127126126127126125127127126126127127127127127128128128127127127127126127128127127127127128128127127127128127127127127126125125125125125125126124125125124124124124124124124124123124125125124124124124123122124123124124126125126125126126126126125125124125125125125125125125125125125124125124124124123122122122122122121120120120118121119119120120121121121122121121122122122122121121122121122122122123123122122123123123123124124124125126125125126124123124124126125124125125125125123 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999162159159158158160161163163164165168170170167168166164999999999999999999999999999999999144145146146147147147150999999999115113102102105105105106112117117118120122123123122124129129129130125127128127128129129130130129127125123121121123123125124121118117116117115117119120121121121119117116115113109105106107107108111110110110111111113113111109105104104102103106106106105105102 99 98102104105103102103105103100 94 85 83 81 79 92 79 78 78 78 85 88 87 86 87 85 88 89 93 98104110114116120121122123123124125125127127127123124122124122120113110110109110108108109110113116119122125128130130132132131131131132133133134134134133133132132131131131131131130131130130130131132131131131130129128128127129129129129129129129128128128127126126127127125126127126127127127127127128128128128128127127127127127128128128127129128129128128128128128127128127127127126126126126125125126126125124124125124126124125125125125126125125125125123125124124124124125127126126126125126126126125125124125125125125125125125125125124125124124124123123123123122122122122121120121122122120120120121121122122122122121122123123123123123121122123123123123123123123122123125126126125127125126127127126124124124125126126126126126126123 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999159158158159159160161163165166169170168165163163162999999999999999999999999999146146147147147148149150151150150149999999110115101104104104106112112116119123126126126128129127129125127127126129130130130129129129129126124124125124124126126125123119116116115114115116117118119119118119117114111107105105106107110112112114114112111114115114112108108108106105106107108106104103102100101101103102102107107104 99 90 87 85 80 85 91999 78 78 79 83 86 86 87 90 88 93 95100106109116120121122124125124126126127124127127127126123122125123119114112113112113110110112113116120125127130130131131132133131132132133133134134134134134133133132132131132132132131131130131131131132132133131131130129128128129129129129130129129129129129128127126126126126128127127128127128128129129128129129128128129129128128128128128129129129130129129129128128128128127127127128127127126127127126126126125125125126127126126125126126126125125125125125125125125124126126126127126126125125125126126125125125125125126126126126126126126126125125125125125124124123123123122122123122121121121121120121121122123122124122122123123123122123123123123123123123123124123123125126127127128125126125127126127125125125127126128127128127126126 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999158157158158159159159159161165166168167166165160161161999999999999999999999999150149148146148149148148149150149149148142128111104105101101102105109112116119122124124126127128126127128125126127127129129130129128128128127126126126126127127127125123120118115114114114115116116117118120118115112109107105105106111113114115116116114114115114113114113112111110109111112108108107107107106106106107109108109107101 92 86 81 84 88 87 77 77 77 80 83 83 86 88 91 93 92 97100105108114119122123124126128128126126126126126128128128124126124122120116114112113116117116117121124127129130131129130131131132131132132132133133134133134134134133133132132133133132131130131131131131132132133132131130129129130129129128129129129129128129129127126128128128128128128129129128128128129129129130129129129129129129129129129128129129130130130129129129129129129129127128128128128127127128126126125125125125126126126126125126126126125125125125125125124125125124126126126126126125126126126126126127126126127127126126126126126126127126125125125125125125125124123123123124123122122123121122123123123124124123123124122123124123124124124124124123123124124123125125126126126126126127126127127127128127127127128128129129129129127 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999156158158159160161162164165166165167165161153158999999999999999999999999999999150148145147148147147148149148148148143141135105101100 99 98104112114115117120122123126126127126124127126125127127127128129128128129129127126126125126126127126125124119115113115113114113114116115117119117114112108106106107111114116118119119117118117116116115114114113112110111111112114114113112112110110110110110105104100 91 89 82 74 75 81 74 91 79 80 83 84 86 87 87 90 92 95106109111115120123123124126126126127126126127127128129129129129129126124123121119119117117120120123126128129131130130130131131132131130132132133132133134134134134134134134134133133133131131131130130131131132132132132132131130129129129129129129128129128129130129130129129129129129128129129129129129129129129129129129129130130130130130130129129129130129129129129129128129129129128128127128128127127127127127127125126125125125126125125126126126125124125125125125126126125125124125125126126126126126127125125126127126126127126127127127126127127126126126126126126125125125125125124124124126125123123123124126126124124125125124124124123124125124124125124124124124124124125125127127127127128128129127126128129130130129129129130130130130129129 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999155155157158160162164164164164165164162163152150999999999999999999999999999999152151147145144145145146148148147146146141136127122999103 98 99106112114115118121122123126126124123119123123125126126126127126127127126127127126125126125125125125122118117115115114112112113116116116116117117113109107107107107111115117117117118115117117117115115115116115112111111112114114116114113110107105104105105 98 96 90 87 87 81 70999 71 72 80 77 83 83 83 83 84 87 91 95101110115117118122124124126127126127127126126126128128127128128128128128125123123123124119122126125126128129131131132131132131132131131132132132133133133134134134134134134134134134133133131131130130130130131132132133132132131130130130130130130130128129130130130130130130129130130129129129129129129130130130130129129129130130129129130129128129129129129129129129129129129129129129128127127127127127128128127127127126126126126127127126126126126126125126125125125126126126126125126126126126128126126126126126126126127127126127126126127127126127126126126126126126126126126126126125125125126125125125124124125127126126127126125126126126125124125124125125125125125124124125125125128128127128128128127128130129131130130129131130130130130129129129 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999154154156157160163162164166164164161162160161153151999999999999999999999999999999154151147145145144146145148147144142146146138127124118111105 99104110110115118121124123123122122121120119121124124122124122124125126127127127124124123123123122120118118117115116116114113115117117117115115113109107107106106107111113116117118116116117115112114115116117118118113111111112115118113112106102 98 99100 99 96 92 84 89 94 88 67 77 73 69 75 73 75 86 86 89 88 90 95103109115119119119120126127127127126127126126127127128127127127128127128128126126124124125126128129128128129130130131131131131132131132132133133133133133134133134134133133134134134134134132132132131131130130130132132132133133132132131131131131131130130130130130129130130130131130130130130129129130130130130130129129129129129129130129129129129129130130130130129129129129130129129129129128127127127127127127127127126126126126126127127127125125125126126125125125125125126126126126126127127126127126124125125126126126127127127127127127128126127126126127127127127127127127127127126126126126127127127126125126125126128128127126127127127126126126125126125125125126126125125126128128128127127128129128129129130130130130130130131131131131130130130129 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999154155157158160162164165165164164160159162159154152999999999999999999999999999153152151148145145144145146147145138131140142141130148120 98 99100103108110116119122123120122122118120119118119122121122122122123125126126127128127125124122120119117117118117114115117115114116117117116113111108110107106107108108107111114115114113112113112113115119122120121118118114111111114115114113105 99 98 99 98100 88 89 86 85 88 88 75 72 72 69 72 72 85 90 90 94 88 93101110112120122124125125126126127126128128123127127126127127127122128126129129127125125126127128130129130129129130131132131131131132133133133133132133134135134134135134133134134134134134133133132132131131131131132132132132133134134133132132131132132131130131131130130130129129130130130130129130130130130129130129129129129130130130131131130130130130130129130129130130130130130130130129129128127127127127127127127127126125125125125126126126125125125125125125125125125126125126125125125125126126126125125125125126125126127127127126125126127126127127127126128127127127127127127128128128127128127127128126126127126126127127127127128127127127127127126126126126127127125126126127129127128128128128129128128128129130130130130130131132130130131130130131 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999155155159160161164167167167167166163161160155156155154999999999999999999999999154152148147144146145146145146142136134127147135123124111106100103101107112117121123123123123121120119120119120121122124122122123123124124124125124124123122121121121118118117116115118116117117117116115112112111112111109111112112108111111110110109110112113114115118121124124120119117115114115116114110108101 99 98 94 90 83 84 84 91 83 75 73 71 73 73 72 78 84 91 92 99 95 95102114116122124124125126126127127126125124128128128127127122127127127126130130122125125127129131131130130130130131130131133132132133134133132133132133133134134134134135133134133134134133133133132132132131131131131131132132132133133133133132132132132133132133133132131131131131131131130130131130130130130129129129129130129131131131131132131131132131131130130129130131130131131130131130129129127128127127127127127127125125125125125127126125126125124126126125124124125125126125125125124124126126125125125126125126125125125126126127126127127127128126127126127127128128129129128128129129128129128128128128128127127127129129128129127128128128128127127127126127127127126126127127128127129129129129129130131130131133131130131131132132131129131131132131 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999156159160162163165167168168167166162159159156153151156161999999999999999999152153149147146144145144141142143141136129122121148127119106109116104104110115118121122123122121119118119119120121123122122121121122122123123122122121120119119120120121119119119117116118119119117117116115113112113112113113114113114111114113112113112111114116117115114126125118119117114115116115112111113112107101 98 94 89 84 83 93 82 70 74 76 77 75 75 71 87 92110 94102 99 98105111119122123124125127127129128128129129130130128128128122126127127128131131129128125123127129130132131133131131131132133133132133133133134132133132133133134133133133133133133134134133133133133131131131131132133134133133132133134134134133133133134134134135135134133133133131131130131131131132131130129129129129130131130131131131132132132132132131132131130130130130132132131131130130130129128128128128128127128127125125125125125125126126125125124124123125125124124124125124124123124124126125125124124126126125125125125127127126126127127127127127128127128128128128128129129129130129130129128129129128128127127128128128128127127128129128128127127126126126126127126127127128128129131130130131131132131131131132131132132132132133131131133133133133 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999161160160161164165167167169169167164159157155153152155157159999999999999999999152151147145144144143140138140142140136132125120127124120107115111103107112118121121121120119118118119119120122123123122122121121120122122122123121120121120120120121121121120119118117120121119119119119117116114114113114115116115116115115113113110112116113110108110115116118116114114115114115111111109114113108104101 98 92 87 79 73 78 80 75 77 79 77 77 90 92 87 90 93101 95100105116119123124124125125125128127128128130129130129128128127129125128130131132131129126123124126130133130131131130132132133131130130133134133134134133134134134134134135134134134134134134134133133132132132132132134134133133132133133134134134134134135135136136136136134135134133132131131132132132131129129129129130130131131132132133133133133133133132132132130130130132133133132131129130129129129128129128128128128127125125125125125126126125125125125124123125125124124125124123124123124124125125125125125126126125126124125126126126127127127128127127128128128128128129129129130130130131131128129128129128128128129128128127126127127129129129129128127127127127127127127127128128131128129131131131132132132132132132130133133134132132132133133132133133 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999166164164161161164163163163163162163161160156154149151154156159165162999999999999152152150145142139139138139139140142137130131119114111123117 98101 99103109114119121121119118117116119120119123124124123122121121121122122122122122121121120120121121121122119120121119120121122120120120120119117115115115114118118118117116116117114115114113105104101106100 96 96 99110108114115114110115108108103103106 99 93 94 89 84 83 83 79 77 82 81 75 84 76 88 90 85 96 96100104109117120122124125126127126125126129130130130130129129128128127129129128129130131131128125125126131131133131131131135130130133131131131134135134134133134134135134134135134134134134134135134134134133133133133133134134134133133133133134136134134135135135136136136136136135134134133133133133133132131131129129129130130131132132132133133133133134133133132131131131131131132132131131130130130130129129128128129128128128126125124125125126127126125125125125124124124124123124123124124124125125126125125126126127126127126126126126126127127128126126127128128128128128129130130130131130130130131130130130129129128128128128129128127127128129129129130129128128127127128128128128128129130131131132131132132133133132133133134134134133132133133133132134133133 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999168167166164164163164163161160158158157159158156153151150151155159162164167999999999999154151148143140136134132137139138136133130128124119115112104104103101104110114118121122120120117118120120121123125125125124123122122122123123124124124123119119120120121123122123122121119118118119119119117117116113113116117118117117117118117116114108105104102103103 97 88 89 88 91 99107109113111112110110106103102103 96 91 90 87 87 87 85 83 83 83 81 82 86 88 90 81 85 96 95106108115120123123125126127127128129129129130130130131128130129126121127127127128128129130129127126125129130131132129130130130130131131132134135134134134135135134135135135134134135133134134135135134134133133133134134135134134134134133133133134134134135135136136136136136135135135134135136135133134133133131131131131131131131131131132132132132133133134135134132131131131131132132132131131131131130130130129129129129129128128126126125126126127127127125124125124124124123124125124124124126127126127127127127127128127127127127127127126125125125126126127127128128127128129129130130131130131131131130130130129129129129130130131129127128128128129130130130130129130128128129129129129130130131130131130131131133133133133133133133134133134133132132134135135133 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999168168168166165164163161159158155154152155152152153153153152153155159164166167999999999999154151148142136133134133133133134134136133128128125121117109104103104104108111115120123121121121121121121122124126128127126126125125125123122122121121120117117116116116117120122122121120116119120119118114114115115115115117118118117117117118114112109106102105 97 95 93 94 94 91 91 93 95103108113114108108108105102101 93 92 90 92 86 83 82 82 79 85 78 89 90 86 83 90 91 95100106113121122121124125125125124126129130130130131130129129129128128127128129128129130132131128129128127130132133132132132132132132132131135135135136135135135135135135135135134133134134135135135135134134134134134134135134134134134134134134134134134134135135136136135135135135135136136136136136135134134133133132132131131132131131132131131132134134134134134135132132131131132132132132132131131131130130130129129130129130128127127127127126126127126126125127126125124124124124125125124124129128129128126127128128128128128128127127126125126126126126126127127128128128128129129131131131131131131130131131130130131130131130130130129130128129128129130129130130128128128128129130129131130132131132131131131131132133133133134134133133134134133133133135134131131 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999166168171169166164164161159157155154150149149148147147150150149150152158164165167999999999999154151147142140138136135133132131131129128128127125123119114108107105105111116114117121122124124123120120122124128129128127126124123123124124124122122120119119118118117117118120122123123121120120119117117116116117117119119118118118116114114112110105107 97 96 94 89 88 85 92 93 90 85 88 97107113110108106102 97 96 96 98 89 89 91 87 85 83 82 83 82 90 82 85 86 90 90 94 98105110118122123124124126127125127126129129129129130130130130130130129129130130131130131132132131130130128130131131131131133132133134133134133135135135135135135135135135135134134133133135135135135135135134134134134134135134134134133134133133134134134134135136136137135136136136136136136136135136136135135134133133132133133132132132131132133133133135135134134133133132131131131131131132132131130130130130130130130130130129128128128128128127127126125126126126125125124123124125126126127127128128129129128128129128129129128127127127126126125124126126126127127128128129129129129131131131131131132132132133132132132132131131131131130130131129129130130130129129129128129130130131129131132132132131131131131131131132133134132132132133134133132134135135132132131 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999172173170171171169166165164160158157155154152149147148148149149150151150153159164166999999999999999156150145142140140138136135132132129126121125124120117115113115112110111109115120121122124126126124123124123125130130129125122122121123123124127125122120119119119117115116116118121121122121119119119119119118119117115120119118119118118119112112102 99101 89 93 91 88 86 87 87 81 80 82 85 96103107107101 97 99100101101 91 95 95 93 93 88 86 93 80 78 86 88 91 91 93 98106107111116118121123126127126128129127127129129129131131131130130129129130131131130132132132133133132131131132132132132131132133134134134134134134134135135135135135135135134134134134134134135135135136135135135134133133134134134134134134134134134135135135136136137137137137137138137137137136136136135135136136136135135134134134134134133132132133133133134134134133132132131130130130130130131131131130130131131131130130129130129129128128127128127127126126125126126126126124123125125126129127128128128128129130130130129130129128128127127127126126126127127127127128129129129129130130131131130131132132132132132132132132131131131131131131131131131131131132131128130129129129129131131131131132132132131132131132131131132132133132132134133132132134134135133134133133 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999172172172171170168165165164161159157156157153150150149152153152154152153154158163159999999999999999156151147143142142140139135130130128123123123118119116115115115113112109109117120123124124126125123122123123125129129126123123126129128126129129127124120120118115116114114116116122122122119119120119119117114119130116116101104105113113113111106 98 98 90 85 83 91 93 89 83 82 82 81 83 91101103102100 98 98 96 95106 97 91102 96 96 96 94 97 95 85 89 95 94 99 98101105108112115118122124124125127128128128127130128130130130130130130130130129130130131129132132133134133132133133132133133132133132132134134134134134134135136136136135135135135135135134135135135135135135135135135134134134134134134134134135134135135135135136137137137137137138138138139139138137136137136136135135136136135135135134134135134133133133133133133133133133132132131131130130130130130131131131130130131131131130130130130129129128128128127126127126126125125124125125125125126126127127126127128129129129129129129129129129129128128128127127126126127127128129129129130130130131131132131130131132132133133134134133132133132132133133133132133132131131130132131130131130129130132131130130133133131133132132132132132131131131132132132131132134135135133134134133134 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999173173171171171170167165165164163163162163162158157157154155156157157154153156158157999999999999999999155153151148147145144141136133129125123125124122123123124118118117115113114114117118120123125123123122123124126130129125127131132133132133133131129122119120114112115115112113115120121121120118119119116108123113111124109 97 95 95108104107105105 96 97 89 89 88 87 87 85 82 85 84 83 88 97102100 99 95 89 96 89101102 92 89102100103100103101 92 87 87 93104102105102109110113117119122124124125126128130130130130130130130130130130130130129130131129132132133133135136135134134134134135134134134135135135136136135136136136137136135134135135136135136135136136136135135135136135135135134134134134134134134135135135135135136136136136136137137138139139139140138137136136136136136136136135135135135134134134134134133133132133134133133133132132132131130130130130130130130130130130131131131131130130130129129128128128127127126126126125124125125126126126126125126126128128129129128129129129129130129129129128129127127126125126127127129129129130129130131131131130130130132132132132133133133133133133133132132132132131131131131131129130131129131130129130132131131131131132131132132132132130131133132132131132132132136136134134135134135134134 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999173173173172170170169168166165166167167168170170170167164163162161159159157156156160159999999999999999999999154153150145146144142138136132130126125125125125127124127125121120116112114114117118119120121122123125127128131131129131135134134133133133133128127120119113112112109110111116119121120117117115117111103110108102104101 95 91 96 94100106105 98 98 98 89 88 89 90 91 94 90 93 93 95 97 91 96 95 97 90 84 85 83 96 87 89 93105106104104106103 92 87 90102103 96105110112117119121122124125126126128130130131131130130130129130131131131130130131131130132131134134135136136136136137136136135135135137137137137137137137137137136136135135135135135135135136136136136136136137136136136136135135134135134135134135135136135136136136135136137137137138139140140139139138138137136136136136135135135135136134135135135135134134134133134133133133132132132131130130130130130130130130130131131131131131131131131130129129128127127127126126126126125126126126127127126126126127129129129128128128128129129129129129128129129128128128128128128127128128129129130130131130130132131131131132133133133133132132132132133133134132133132131131131131129130130130129130130130132131130130130132130129131130132131131131132132131132134133138137137135136135136134135 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999175174173172170168167167166168170171172173175176175173172169166164163162160158157161161999999999999999999999999151149148148147144140135133131128126126130130130129127128126125126116118118121122122123123124127128128128132133132132134134134134135135133130127122121117112111110110116119120120116113114114114106101103101101101101 96 95 93 95 99101105100 98 93 89 86 87 90 91 95 90 93 92 93 92 89 90 90 91 83 87 86 98 90 89 90 97106100106109106102 97 93 96 96 96103108110116121122123124125124126127129130130130129129129130129131131131131131131132133133133133133134135137137137137136136136136136138138139138137138138137137137137134135135135135135135136137137136136137137137137137136135135135135135134135135135136136136136136135135136136136137139140140140140140139138138136136136136135135135134134135135135135135135135134134134134134134133133133132131132132131131132131131130130131131132132132132132131130130129129129128127127127128127127127127127127126127128128128128128127128127127129129130130131128128129129129129129127128128129129130130131131130131132131132132132134134132133134134133133133133133135135132132131131131132130131132131133132132131130132132133132134131131129129130132133131132133132132134133135135136137137136136136135 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999176173173172170170169168168170172173174175176177176176174173171168167166165161159158161161999999999999999999999999999151153149148146143138134132130129130132133132129129126129129128124122123125126126126128129129129129129132134134133134134134134135134133132128123121120117115113115116118118117114111113113105102 99 98101102 97101 96 93 90 92 93 99104 91 93 92 88 86 83 88 92 94 92 90 91 84 83 89 92 85 85999 79 79 85 91 97 97 97105106108106107102 97 97 97 99105117108111121123123123124124126130130129130130129129129129130131132132129131133132132133133133133134135136136137137137136135136136137138138139139139138138138138137137134136135135135136136137137138137137137137137136137136136135136135135135135136136136136136136137137137136137137139140141141141140140139139139138137137135134134135134135134135136135135135135135135134134134134134133134132131131132132132133131133132132131131132132132132133132132131131130130129128127128127127127127127127126128128128127127126126125126127128129129129130130129129130128130130130129128129129129130130130130131132133132132133134134134134135134135134134133135135135134134133131131131131131130130131132132131132133132134132135130130131131131131132133133133134133133134133135135135136136136137136136 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999175176174171170171173172172173175176176178178179178176175175175171169167166166162159159159160999999999999999999999999999999152153149146144136136134131130131132132131128128127126127126127122126128129129130131130130131131132133134134134135135135134134133133132130124120120119119118118118114112111108101106105106100 99 99 99 98 99 96 92 89 89 90 94101101 92 91 89 88 87 83 80 87 91 89 88 85 83 76 80 82 82 85 93 95 87 95102 96 99102100101102 97 98 99100 97 99104112116115119120123123125124125130130130130129129128127129130131132131131130132134134133133133131133134136136135136137136137135136138136137138139138139138138137139139137136136135136137137137138138138137137136136136136136137136135135135136135136135136136136136137137137137137137138140142142143142141141140140139138138137136136135135135134134134134134135135134134134134133134134134134133131131131131131130130132132133133132132132133133133133133132132131130130129129128127128127127126126126127128127126126126125125125125126127127128129129130130129129129130130130129129129130130129130130130132132133133134134135134134135134135135135135136136134134132134133133131131132131131131132131131132132132133133134136133133133133134134133133133134135134134134134134134134135137137136137136 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999174177176173171172173174175175176178179180181181180180177176175174173170168168166164161161160163168999999999999999999999999999999157150146143138135133132130131131131129129129129129128128127122125127129131132132132132131132133133133133133134134134134133131134133132127117118117117116115111110106102101108106103103100 98103 97 99 98 96 94 87 90 91 94 99 97 88 86 86 85 83 83 80 84 87 86 86 84 81 76 75 81 78 84 89 91 96101 98106105106 98102100 99 97 92 95 98 95101112115119120122123123124125128130131131131131128128129129131132131129128133133133134134134133134134135135135137137137136135134135137136137138138138138138139137138139138136135136136137138138139139139139139138137136136136136136136136136136135136135136136137137137137137138138139139142143143144142142141141140139139137137137136136136135134134133133133134135135134134135135134134134134133132132131132131131130132132133133133133134134133132133133132132131130129129128128128127126126126128128129128128126126128127127126126126126128127128129129130130129130129129130131130130131131129129130131132132132133134134134134134135136135135135135136134135132132132132133131131130133131131132133132133132131131132132132134133132130131131132131133133134133134134135136137136138138137136136136 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999175177177177175171171171171173175176177180182183183183183180178176175174173171170168166166164164163165169999999999999999999999999999999158154145143142137133132133133133132131131131131131129129127125126127130133131132133132133133133133134134134133133133133134134133134132129121117113114112111110107110113121106105103102103104102100100 97 95 93 91 91 95 97100100 91 81 84 87 86 89 84 80 85 84 88 82 77 74 79999 79 89 99 89 94 99103103105 96 93 98 94 97 95 90 95 98 98100106113117121123123124126128130131132132133132130130130131132132131131129132133134135134135135135135136136136138137137137135137137138138137140139139139138139139139139138137136136137137139139140140139139140139139139137137137137137137136136136136136136136136137138138139139140141142143144143142142142140141141139139137137137136136135135135134134133133135135135134134134134134134134134133133132131132131130130131132132133133133134134135134135133133133132132131129128128128127125126127128130129128126126127127127127127127127127127127128129130130130130130130130130131130131132132130130130130131132134134133134134135134136135135135135136135135134132132133132132131131132132131131132133132132132131131131132131132132131130133131132133133133134134135135134134137138138137137136136135 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999175175177176173173171168168171173174177182185185185184184184183179176176175173172172172173173172171171176999999999999999999999999999999999163159151146144140137137138136133132132130130128129129128128128128131130130131130132133133133133133133133132132130131133133132133133132130124115111110110105100106100104104103103105108108105104100 98 95 90 91 95 95 99101100 97 98 91 88 86 89 89 86 81 80 88 85 83 81 72999 86 88 93 95100107103102 98101 97 96 88 89 92 93 95 96 96 96101100104119120122121124126128131132133132131131130127131134133133134134130133133135134133133134135136135136137137139138138138136138138139139138140140139140140140138136139136137136137138139139140139139140140141141140140138137137137137136137136137137137136137138138139140141144144144144143142141141140140140141140138137137136136136135135135135135134134135135135134134135134134134133133133133133132131131133131130131131131134135136134135136135134133133133131130129129129128128127128128129129129127127126127127127128127128127127129128129130130130129130130131130131131132132132131130131131130132132133132133133135135136135135135136135135134134134134134133131131130133131132131133132132131132132131132132131131131132132132132132131132133133133133136135138137138137137137135136136134 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999176176174171170169169170173175175177180186187186186186186185184181179178178177176176176178179178178176180999999999999999999999999999999999999164161150146143139139138135132133132129128128128129129129130130131130130131132134134135135135133132130129128127128129130131132132132130126119112109110121110110104108107105107107109110110108107105101 95 96 97 96101103102100 98 92 89 89 92 84 77 78 78 86 95 84 71 74 79 85 88 96 95100103100 95 90 96 98 91 88 89 91 97 96 96 97 97 99103103106119121121126128130131131130130130129133134134135135134134131134133134135134134134134134135136136136135138138137138136136136137137138139139141138140139137137138138137137137138139139139140140140141142142143141140139139138138137137137137137138138138139140140142144145144143142141141141140140140140140139138136136136136136136136135135135134135136135135135135134134134133134133133132133131131132132131131130132132134134134135135135134134134134133133132132131130129130130129128128127126127128127127128127128128128127129130130128129129130130130131131130131132133132132132131131131133132132132133133136135134136137136135134137133132134133134133131132132131132134134135131133133132132132132132132132132131133132133133133133132135132133132134138137138139138137136136137137133 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999176176175171167168170173175177178180182185187187187187187187186186185181181181181181182182183185184184180999999999999999999999999999999999999999159999999148146140137138135133133132130127126128129128127129130130131132133135135135136135134132130130129129128128127131129130131133131128123116111107104103106105108107107111110109112110110108107104 96 98 98 98 95 99 99 98 98 98 91 88 90 80 77 74 81 92 83 80 82 82 84 95 95 88 89 88 83 92 87 86 95 95 90 97 91 93 94 96 95100 99 98102104110115120124126127130131130130131130133133134134133134134133131132131131133132133134134134135134135135134136136137137137137137136138137140140139140137137138138137135137138138138140140141140141141142143143144143143143143141141139138139138138139140140141142143145146145144143141141140140140139139140140139137137136135135135135135135135135135136135135135135135135135134134134133132132132132132132132132131131131133134134135135134134134135134134134134133133132131130129128128128128128127128128128128128127128128128128128129130130131130130130130131131131131132133132132133132133132133133132132133134135135135137136136135135135134133133134135131132135134133135135134135133134133132132134131130132132132132131132133133133134135134133133136134139139139138138139137137139137133 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999175175172170170169170172176179181184185187187187188188188188187188187184184184185185185186186186186186180999999999999999999172172170999999999999999999999143143141137139133132133133133131129130130126126129132135136134132133134136135133132131129130130129131128127128129127129131132131127120114108114107107108107108111113111111112113112107107105 96 98 98101102 98102 99 99 97 93 91 84 80 82 78 74 95 81 82 83 88 90101 95 93 90 85 83 90 88 87 95 95101102104 91 94 96 99100103102107109118118123125126127129129128132134133134134134134133133132132129131130131130130133134134135137137135134134137137138136138137136137137138139139139139137138138137137137138139139140141141141141142142143143143144145145146145145144143143142142142142143144144144146147146144143142141141140140139139140140139138138137136135135135135135135135135135135135135134135135135135134135134133132132132132132131132132131131132133134134134134134134134134134134134135134134132131131130129129129128129129129129130129128128127128128128129129130130130130131131130131131132131132134133133133133133133132131132131133134134135135137136135134132134134135133133133134136136137134133135134132134134134133136135134134135134132133132132133133134134133134132133134136136139139139136139137138134134134 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999174175174172170169169170171174178180183184184185188189188189188188189188187187187188189190189189187186182999999999999999999170168168167165166165163162999999142141140139138132131132132133133132130129129129132135135132130131133136135134131129129130134132129129127128127129127126131132134128122116114113109110111113113112113111111111112111110108103 94 90 94 98 99 98 98101 91 90 87 91 88 83 82 74 72 78 79 87 95 96 96 92105103 97 89 85 90 91 95 88100 99 93 93 94 96 98100104104106108117116120125127126127126128130133134135133133135135135134133132131130131129129131133135134133134134134138137137137134135137137138137137138138139138140138138138138138138139140141142142143142142144145144144145146146146146146146145145145145146145145146146146147147146144143142141141140140140139140140139138138137137136136135135136136135135135135135134135134134135135135135134134133133132133132132132131132132131133134134133133134134134134134134133134133134133132132131131130130129129129129130130129129130130130129129129130130131130130130131131131132132132131132132132132132131132133134133132133135136135135135136135135132135135134133134133133134136136138136135136134134135135134136136136135135135133133131133134133132133132131131132134133135136136137138138135136135136135135 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999176174173172172170169170171172174176178180181182184188189190189189189189189188190191193194192191190188186183999999999999999999169167167166165164163162161999999999139138138137135131132132132134134133132132132132131130131131135137137134133130129130128129127128125123125126127127126129132134131128119115115110110111112113115117116114113113113116112107 94 89 93 96 93 89 90 85 86 88 87 84 83 83 80 79 73 84 86 83 93 99 99104109106 98 90 89 89107 95100100102 94 93 97 97 97101105106108115112117120126127127127127125127131134134136135135135136135136131129130131131132131135136136135136133137135136135133133135135136138138137138139139139139139138137139140140141141142143144144145145146147147148149148149149149148148148147149148148147148149149149148146145144142142141141140140140140140139138138137137136136136135135136135135135135135135134134134134135135134134134134133133133133133132132132132132132131132132133133134134135135135135133134134133133133132132131131130129130130130129129129130130130131132132133132133132131131131131131131132132132132132131132132134132132134134134135134135136136136134134134136136134135133134135133136138138138138139136136136135134134134134134135134134134133132133133132131130132131130130131132133134134137136135136134137137136136138 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999173174175173172171170169170169170171174175175180184188188189191191190189189190192192195196194194194191190187186182999999999999167166166166166164163162160156154999999140139140139136135137137136136135135131130129128128130132134134137135134132130129129128125123122122121123125125127126127130132131128122117113114113114115114115116116114114113110113107107106 96 93 94 92 87 87 84 82 82 82 82 78 79 82 79 80 87 94 93 94103110112110111108102 98 94 95 99 99100101 96116111100101101108112116115119124125126126126127126126131131135137137136136133135136134133131131133132134133134133135135136136136135134133133136137136136136137138139139138138136140140140140140142142142143144145147147148149149150151151151151151150150149149149150150151150149149149149147145144143141141141141141141141140139138138137137137137137137137136136136136135134134135134134134134134134134134134133133134133134133133132132131131132131132133133133133133134134135134133132132132132132132131130131130131131130130131131131131130130131131132133134134134133134133132132133133133132133132133134134135134135135136136137135136136136136135136136135136136134136134135135138139139140139136137137138136135136136135134136133132131134132132133132130131130129130129134133133133135135138136136138138137138138133 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999175175173171168168169167168170171173173173176179185188188188191194193189191193194195198197195193193193190187187185999999999999164164163164164163161159159155154999138141141142140136136137137137136137136131129128126128131132136135136135134132131130127125125123122120120124125127125128129131132131128126120112112110113114113113114114111111111108109103103105100 94 94 90 90 87 82 81 81 81 77 79 80 83 87 91109107103100107109116115113111109106102100 96102 98100107110103105110111118117122123121123123124124124125127127131134137136131136136132133134136133134133135132133134135135135135137136136136136135136135139139136138137137139140140136139140140141142143143143143144146147148150150151151152152152152152152151151150150150151151151150149150149147145144144142141141141141140140140139138138137137136136137136136137136136136137136136135135135135134134134133133133134133133133134134133133132131131131132132132132133133133133133133132132131131131131131131131131130130131131132131131132132131131130131131130131132133134133134134134133133134135134134135135135134135136135136137137136136135137136136136137136134134135135134139135140134137138138138137139138139139137138137137137137137134134132132131131132133130130130128129130131132133134136138136136138136136139137136136 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999174175175173170168168168169169171169170172174176180185189189192193194195192193194195196198197197194194194191188188186999999999999163164163163163162160156155153153140141141141140139138135138136139136137136129127127128128132134136134134136134133132132128126125124124124123126127127126130131131132130128124120119114113110114114116113112111114110108105103101 97 93 86 89999999999 73 76 76 75 74 79 80 81 95104109106104104101110111113113114116115110109103106110110110114112114116120118120119120120119119117123123124128130134136136133134136136133133133132133132133133132134132134135135136137137134137137137138138139139137136139138139139139139140141140142143143144144144145147149149150152152153152152152152150150151151150150150151151151150149148147145144144143142141141141140140140140139139138137137136136136136136137137137137138137136136135135135134133133132132132132132132132132133133133131131131131132132133132132132133133133132131130131131131132131131131130130131131131131131131131131130131130131131131132132132133134134134133133135136136136137135135137136136137138137137137136137136138137139138138138137136136137137139139136135136136136138138139139141138138139138138138137137137138136136134136133132131131130129131130131133134135136135135137136136138138140137137 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999173171173173172170167169171169168169168168171177182182186188189193194195194195195195196196197199199197195193192190193186999999999161162161163164161157153151151148147142143142139140141141140139137138140138133129128127127128131132134135136136136135132131129128126126128127127128128129128131132131131127126124124124121118114114114112114113113115112107104104 97 92 93999999999 77 76 78 81 83 80 80 79 83 82 96102103105108110110110111113116117116116119115114116116116118117116116124121124122122118117117117119121124127129133134135134134136137137137133136134134134133132131136132134136136138138138136137137138140140138135135136138138139140140140140141142143143144145144145146148149151151152153153153152151151151151150150150151151151151151150149148145145144144143142141141140140140140139139138138137137136136136136136136137138138139138138138137136135134134132132131131131132132132132133132132131131130130130131131132132132132131131132131130131131131131131131130130130130130130130131131130130130130129131131132132132133133134135136136135135136137137137136136138137138138138138138138139138138139140141140140140139138139141139139139138137137138138136138139139140138138138139139137138139140137138137134133133134134132130130129132131134135135134135136136136137139141142141139 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999175172172170171170170171171168167166168170173175178182185187187190194195196196195196196196197197200200199195193192190193189177999162159158160163164163158152149149146146143145144142142143143144145142141138139132129127127127128131133135134136136137136133132131130129127128129128129131134135133132132129128127126126125122118114114116114112112115116115107104103 81 70999999999 76 82 79 81 85 91 83 87 88 88 87102101 99102107110112114112116116116116118120121122117122122123123123114119120119114119120117117120120120126131131134136134133135136137138137134135138137137137134132137136134136137136138140139139139140141141140141140139140140140140141141142143144144144143143144146147149150151152153154153153152151150150150150150151151151152152152151148146145145145145144144143143142141140139139139139139138137136136137137138138139139139139141140140139140137138135133132131131131131132132132131131131132131130130130131131132132131131131132132132132133132132131131131131130129130130130130131131132131131131131130131132131132132134135135136138136138138137139140139140139139140138138138138141139139140142144141142143143143143142143141141141140140140139139139138140140141138139139138137137137137139140137138137135136135132132131131132131132131135134134135136137136137140141142143143 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999176176175172170174174168169170167166170174171173174178182184187189191194197198198197199198199199200201201199197197195193189186181167162162155158163163164160153151149148147145146145145144143143144143139138138134132130129128128130131133135134136137137135134132133132131130130129130134131136136136135133129130128128125122120114113115114113113113112111109108106 96999999999999 72 79 81 76 81 81 92 82 81 89 90 95100 97102105109113114111116114121125120118119120121122122123123123122123123121120119116121118119122122124129132133130135133129125134136136135135135135137137137136136137138137138139139140140141140140140140140139140141142142141140141141142142143143144144144143145145147150151152155155154153153151150150150150151151151151152153152152150147146146145146146145145145145144143141141139139139139138137137136137137138139140140140141143141141141141141141139137135133132131131132132132131131131130130129131131131129129130130131132132132131132133132131131131131130130130129130130131131131132131132132132131130132133133134134135135136136138137139139140140142143142142141140140141141141141141143145146145145145145145145144146144143143144143140139139142140141141139140140142138139137139139138136136136136136135137134132132134133131132132133133135135136137138139142139141143144 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999176175176175172173170172169170170171177174178177176176178182185190191193195198199198199200199200201202203201201200198197196193190184174173169155158162163163158152151151148152150147146144143142141139139136134132131131130129127127128129131132133133135136135134135136137136133133133132133132136138135134135131130128128123119120117116117115116114114110104106104 96999999999 86 77 80 83 80 83 84 84 88 87 86 83 87 98 97 99102107112114117113117115115124127124121121121119122123123122123124124122121122124125122120122122125130131132134132132132127134134135135135132136137136136136136138139140140140142141142140139139139141140142141140141142141140142142143143143141143143144144144145147150152152153155154153152152150150150150151151151151152152152152149147147146145145145145145146146145144144143144143144142141141141141140141141141142142142142143142142141141141141140140139138135135134133132131131131131131130130131131131130130129129130131132132132132132132132131131130130130130130130132131132131132132132132132133131131132133134135135135137137138139139139141142143145144143141141142142141142142145146146147146147147148145144143145144146145143142143139140140140139139141141140141139139139139140138138136136136138136136135134134134134134134133132133136137138140141140139140142143144 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999177177176175179178175170170171174180182180182181180179179182185188191193196199200200201201202202202204203202203205202204203201198195190187184181170156159161160157154153152153154154152149147144143141139138137135131130130128127128126126127128130131131134135135135136139139138137137139137136134135139139136136135132131127123120118119120122122121119114111106110102999999 77 77 81 84 84 83 86 85 83 81 83 81 85 90 92 91 93 99101109112114114113120113121122125126124122123124126124124124124126126127126128132129123123125126129131132132133133132135136135135135138135135137135136135129132139140141142142141142141142143141141141141142141142142142141140143143142142143143142143144144145145146149151152154154154154153152151150150150151151152151152152152151150148147147147146146145146146146145145145146146147147146146146147145144144144143142142143144144143143143143144143141141140140139137136134133132131131133132132132133133132132131131130130131132133132132132132132132132132131130131131131131131131132132132132132132132131130132133134135137138137139138138140140141142145144144147144144143142143145146147147149149148149147146145144146146145146144144144143141141138139140140140139141138138138139137137136139134135136137137135134134134135135135134133133134136139140142143143140140144145147 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999175177178173171170171177177167169173178182184184184182181180183187190193196198199200198200202203202205205206205204205205204207204204202200194192189185185169155156156158159158157156155155154149147144142140142141139139134133132129128126124129128127128129131131134135136136139138137138138139139141139139137138139139138136131130129125124124126130999127125118121 90 97 95 90 83 80 79 82 87 87 88 89 89 86 80 79 82 83 86 85 91 96100109115116116116117127123122123122127123123125124126127129128128132132130132132134130126123126125130131133134134132132136135139137138137138137137138138138138139141141140141139141142144145142141142142142141142142143142143141142143143143143142142142144145144145144148151153154155156155155154153151151151151151151151151151150151149149148148147147146146145145146146146147147147148148149149149148147146146145144144144144145145144144144144144143144142140140140139138137136134132133133133132133132133134133132132131131131132133132132134133132132131132132132132132132131131132132132131132132132132132133133134134136137137137138138138139140143144145147147147145144145145145147147149149150149149147147145144144146144145144143143145144140140139142141139141140140139139139138136136135135136135136136135137136134136136136137135135135135138139139140145141141142144145150 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999177176176176175173170174175173169172176178181185186186186188190191193198198199199201201201202203204205206206206205203206207207208205203202199999196193186182176158152153155158158159160158157151148147144140144141142141140137136134129126123125126127128128129131132131134135135137139139138137137140143141142145141141142138137133135134130127128999999999999126117112107102 91 86 83 81 81 83 84 85 84 86 86 86 80 77 81 84 89 93 96102104116118119120121122127127127127125127127127126124127129129129131132132132134135135132129127131133133133134134133134134135139138139139138138137139136138139140141139142142142142140143143143144143142144142139140142143142140143143143142143144142143142141145145144144147150152154155157157156156154152152152151150151151151151151150150148149148147147147146146147148149150150150148149150150150149148148147146145145145145146146145145145145144145144144143141141140140140139138136135134133133133132132132133133132132132133133133133133133133133133132132132132132132132133132131132132132132132132132132132134133135135135135135137138139138140142143144145147145146145148148148151150150149149152151148147147146146146145145146144144144144143143143141139140140141140140139140139139139138136135135137138139139137139137136138138138138136137137139140142143146146147148149150147 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999178176177176178178177170172171172174175172175179184186188189191193196198199200201202202201202204204206207207206207206999207207207207206204999999999999999190185179170154150153154157160161160156150147146145143144141140140139136133131129127126126126128127129129129131130133133133133135137135135137140142142144148143143141141144999138135131129133999999999119124119116110 96 86 88 84 86 84 83 83 84 84 81 79 80 87 79 87 91 85 93 99104108108118117121124124126126128127127128126127127127127129130131129131131131134136136133133133134134134135135135136137139135138140140139140139139139138139139141141141141142142135141143143143144144141144143141141142141140141143143144145144144144144144145145143144145147150150153154155156157157155155153152151150150150151150150149149148149148147147147146147150151152153152151150151151151150150150149149148147147147147147148147146146146147146146146144142142142142141140139138137134134133133133132132132133132132132133133133134134133133133133133132133133133133133133133133133132133132132132132133134134134135136135136138137137139140141143145146147145146148149149150150150150150150151149148147146146146146146146143145145145145145142143142140141141142141140140140140139138137137138137138139139139140139139138139139139139139140137139140142144147146145145148148152151 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999179178178178178178181182179175175182179179178176175178181184186187190192194197199201203202202201201204205206207206208208207206207999208209205999999999999999999999189186175168151147152156158160159156149144144143142143139138137136134131128127127129129129130127128128128129129131132132132134136137138138141143143143145147143147140145999999999999999999122117118122119113114112108103 91 87 88 90 90 89 86 86 82 83 81 89 89 96 99100107 99107115109118116121122126125126127128129126126127127128128129129128128130130132134135135134134134135135136136137137137138138137138139140141140138140139139140140142142142141143143142141140141142143142142143142141142142140140143142143143144145145145145145146146145145146148150152153153155155156156156156156154154152151151150150150149149148148148148148148149151152153154154154153152152151151151151151150150150150150150150150150149149148148148147147147145143143142142142141140139138136134133133133132132132132132132133132133134134133134134134134134134133134133133133134134133133133134134134134134134133134135135135136136137137139139139141143145145146146148149150150150149150148149151150149148147147148148148147147146145145144145143143144142143142142144144143142142142140140139138138139139140140139139139140141140140140141141141141141141142144143147147150148150153156 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999179181182181181181182184186186184185184182183183182182182181183184188191189192195199201202202202202205205205207207207207208208208209999207209204999999999999999999999999189183175161146151154153154154151146141140139140140141139137136131128126129129129128127128128128126127126127128130131130132135137139138142144144146145144146147999999999999999111113114113116116116118103103112110106 92 90 97 94 93 94 89 90 94 94 96 98 98 94 95 97109101108120121121122121121121125124125125125124122125127126128128129129128127130132133134133133135135135136136136137137138137137137138139133134141140140139137137137137142142142143143142141141142142143143143144144143144142142141143143143145145145145141144147147147146146147149150151152152153154154155156156157156156155154152152151150150149148148149149150151153155155154154154154153153152151151152151151151152152153152152152152151150150151151150149148148146145142142142142142141139138137136135133133133133132132133132132132133134134134134134135135135135134135134134135135135134134135136136136135135134134135136136135137138138139139140139141143145146147148149151150152149150151149149153152149150148150150151149148148149148146145146144144144144144142144143144143144144143142141141141141142141142141140140140141142142142141140142143141141143147146147151154155157158158155 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999182182185186186185184183186189187188184184184185184185184188184182184187190190192194197198202203204205208207205207207206207209209208209208207209208205999999999999999999999999186183174155150151150150149148145140138137135139139138135134129126130127129128126128127127127127129127127126128129132133136140142143145142141146144142999999999999999999114112111111107103105106112105104109110104 96100102103103108109109108107107107106 99101100112114118117120118120120121120122122119122122123119121123125126127128128128127128130132132134131135136135136136137138137138136136132138136139135137140142141137139139139138141139142142142142143142140142144144143144143143143142142143143144146146147146142148149151149148148150151151152152153154153154155155156157158157157156154153153152151152153152153153153154155155155155154155154153153152152152152152152152153154154153153152152152151151152150149149148149148146144143142142141140140139138137135135134134133133133133133133133134135135135135136136136136135135135135135136136136136136136137137136137135137137136137137139138139139140141139142143145146148150150150152152152152152152149152153153152151150150151151150148148149149144144146146145146144147146145145145146148146144144143144143144142142142141142141140141141142140137138139143142142145146148150153153159160162164157 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999185187186187188187186187186186185188187187188190190190189189188189188186188189190192193198201203203205207209209207207208207209208208209210211210210208205999999999999999999999999999184180171158149147149147145144141137135135135136136134132128126127127128129126125126126128129129127128130131134133133135141141144145140142144143140999999112999114113113108106104105104102111106101108110101106108111114114116118112104104103100101108103105106115111108113115118120118119121123120122123129121122121122122123125126127128126128128132134135134134136135134136137138138138139138133138141142140140142143142142142138139141142141141141138138143144142139141142142142144142143143142144143146147147147147150149153153151150150150152153153153152154154154154156156157157158158157157157157158157157157156155156156156156156156155156155155154155154153152152152153154154154154154153153152152152151150149149150149149148149148146143143142143142140139138137136135134134133133133133134134134135135136136137137137137138138137137138138137137138137137138137136138138137139140140140141140142142142142142144146146148150151152153152152153152153153152154155153153152150150149148149148148147146146146146147148147150149147146146146149148146145147148147146146144143143141141142142142143142140141139141141144146147148149152153155155164159157160 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999186187190189191189188187187187185184186187188189191193194193192191190191191192191195196197201203205206208209209210209207207207208208208208209209211209208206201999999999999999999999999999186180170158145145146144143142139136133132132134133131127127127127127127128128126126128127130129131132134135135135136139140144146145141138999999999111113114113111109107109106107101106110111119119108108115118118122123125116115112116112113109105112111111119120111114117118118119118120121124123123124122123123125125125127127128127128129129131132132134133134135136137137138139139139139138139140141141140141142143142142142139142141141142139136135141144143139139141142141144143144144143143146148149150148148152152154155153152152152152153154153154154155155156156156157158158158158158158159160160160159158158158157157157156157156156156156155155154154153152153153155154154154153153152152152152151151151151150149149149149149149147145143141142141141140138137136135135134133133133134134136136137137137138139140140140140140139139139139140140139139139138138140140139141141141142141143142143144144144145146147149151153153153153153154154154154154154154152151151149150147148150149148150147147145147150149150149148148148148150149147148147147148149148147146145144145145144144143145143142143141144142145148149151152154160154159161159160162 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999182187192193192191190188185188186185186189190188188191193196196197196196196197197197199199201203205207209211210211210210209207205206207208208209209210210209207203999999999999999999999999999999184178170162147146143142140139137135133133134132131129128129130129130128128128127128129130135135137140141144147151149144140143144134999999999111113113114113113110110112113109107111109113113109111112116120118119116116118117121119119114114112112113112114112112113117116119119123122123125124123123122122123125129129126126127130129130130130131133133132134136134136137138138138139139138138139141142141140143143142142144143144144144143144141142138141139139140143142141141141144146147147149151151151148153153151153155153152152151151152152154154154155155156156156157157158158158159159160160160160160160159159158158157157158156156156156156155155154153153153154154154154153153152152152152151151150150150150150148149148149148147146144142141140140138138137136135135134134134134135136136137139139140141142142142142142141141141141141141140140140140140140141141141142142142143142142143143144144145146146147149151153152153154157159161158156155155153152152152152151150149150148151151147147146146147148149149149149149149151149148149149149149150149148147145147147146147148148147144145142145147146148149151152150154156154155156159160162 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999187188191194194192191191190188189189190192195196193189191192196199199198201201200200201201202203206208207209210210212211210208207205206208208208209209209210209208203999999999999999999999999999999999184180177171159150145143142140137135134134135135134131131132131133132133133134140147149152156156161159156156155155152143143137999999112112114116117115111110109112112109107110108111116121123124125125124124124124124123122122124120121120120118119119117116117115117118117119120123125125125124124124122125124127127129128129128127128129129129131132132131133134136135135136137139139139139139141144141142143145143143143143143143144144145136137144144144139142143142141141141143148148150151153154154151155154154154156154153152153151152153154155156156156156157158157158159159159159160160161161161161161160160159159158158157156156156156155155154153153153153154154153153152152152153152151151150150150150149148147147147148147147147145142140140140138136137136136137136136135134135136137138140142143144144144144144143143143142143142142142142142142143143143144144145144145145145146145144144145147146148149151152153154157154159164167158155164155162153152153152151150150149149148149147147147147148149150149150151150150150150150149150150152151147150149148146148150148151150150147147147149151151153157156154154156158157157159161162161 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999188191192193194193192192191190190190191193196197198197194192191195198200200200201201201202202202204206208209210210211211211212210209209208209209208209209210209209208203999999999999999999999999999999999999181182178166162153148147146141138136135136137136133133132135135138143148150155158160161162159160162164160159158152146135999999112113115117117119118116114109108110106107110120123125128126127127128127127127126126126126126123122122121119120122124123122122123122121119119121122127123127124124123126129126126127129127128127126127128128128129131132131131132134133135135136139140139141139140143144144142143145144144144143141142143143143143143142143140143143143144143144145147148151152155156155156156157157156156157155154153152152153153154155156157156156160157158159159160162160160160161162162162161161161160160159158158157157156155155154154153152152153154153153152153155153153154150150150150150149148147146146146147146146144143140140139139138137136136136137136136136136138139139141143143144144144144145145145145143144143143144146145145145144145145147148147147148148147148147148148149152153155157154156157158163163170172171169168168168165155156155154153153153150149148149148148149150150150151151151152151152150150150148150151151150151151148152154152153152149151150154152151152155154157156157158155159157160162160159159 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999191193192192193194194192192192191190191193196198200202202200198194193198200201199200201201202201201202204208210210211212211212213212211211211211210211210208209208209208203999999999999999999999999999999999999999999182172170169164156151148141138138138137134133135135136136143154162167167162166162161161999999165163157153147141999114114114113114117119118118119117110107107108111114120128130131129129129129131130129129126126126128125124123122125124123124123123123123123124126122123123122125127124122126127128127127126128129129125125125127128128129130131132132132133133134135136135140142143143141142144145143145145144142143143141141141142143143143145142142142143144141142147147150150151152153154156155155155159158159158157157156156156155154154155155156155156158156158159159159160160160160162162163162163163161161160160160159159158157157155155154154153153154154154153153154153153152151149151149148147148147147146147146147146145144142140139138138137136135135135136137138138138139140141143144144144144144145146146146146146146146146147148148147147147147148149150150150152151151150150149153153155156157155155156157158158167170173171170170170167157157157156156158159157153151152153151150153154154154154154155154153152152152151151154150150150150150153153154152152152151156154155160159156157155155157158159157158160161159158158159 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999187191192194192192193194193193193192192191193196199200202202202201203197195196201200199198199200201201200200202206210211211212212213213213212213213211211211210209208208208207999999999999999999999999999999999999999999999999999179178175171167161150143141139139137137138140140144160163164166164161160161163999999999999999155155152139125114112112112116118119119118118115110111113113117123131133132132131131131132132131130130128128127127126125126127126126125124124123123123122122123124123123122123126124122125125128126126125126131125128126126127128128131131131132133133134135135138138139143144143144144137143144144146145142142142142142141142142142143144144144143145145145145147149150150150148151152154153156158162163160163163160160159159157157156156155156157155156157158158159160160160160160161162162162163162163162161160160159159158159158157156155154154153153153154154154154153153152150149150150149149148150148148148146146145145145143142140139137137136135134134135136138138139139140140142143144144144144146147146147147148148149148149150148149150150150150150152154154153154154153152151151153153157155156156156157158159176173183179173163161177175159174165158159159157157158159157156155154156156159159156157157157156155155155157151150151152150151151153153154153154154157156160157159163164158158156160160157158160160161161161162161 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999190190191191192192192192193194194194193193196198200203205204206206203205202201199199198198198199202203203202202202206210211211212213214214214213213212211211211210210210209208208999999999999999999999999999999999999999999999999999999999171176172170164158153152152145145141144154160167154999162162160162164999999999999155157157156150145137119114115117122118117115116116110112112113120128132133132132131133132132131131132132132130129129128129128128128128128126125124123121124123121120121125125123124123124121125125127124126127129131131132132125128128130132132132134136136138137142138144141149149144144144143146145146146144142143144144143143142143143143143144144144146145144148150149149150151149149149155156161164158161168164165163163162161159159158159157158158157158157158158158159159160160160161161162162161161161161161161160159159159159158158157156155154153154154154153153154153152152149149148149147148148149148148147145145145144144143142141139138139136135135135135135135137138138139140142142144144145144146147147147147150151151151152151151152152151152153153155155156156155157156154155153155156156156156156156157170159176180177175175161175176175162169169161160160160160159159159158158157158163162161158159158158158158159156158150155156160158158157155154154154156157157157158158164165162162158160161159161162165164160163164163161 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999189191189188189190191192193193196195195195197199202205208209206207208209207207206204203201201202204206207207208207204205210210210212214214213213213213213212212211211210209209209208999999999999999999999999999999999999999999999999999999999999999175172173163161165163157159154160163166999999161162162161164999999151153153152156154152149148145133119117119121121116112112112111115118123128131133132133134133134132132132132132131131130129130130128129128128128128127126125124123126123122121121125126124124126122121126122125122124127131131131132130127128128130138140141140142139139140142142143145146147145143144145144144146144142141142143143144144145145141142143144144145146145146149148147150151150152150151155156157166163165171170168164164164164162161160160158158159160158158158159159160160160161161161161161160161160161160160159159159160159159158158158157154154154154154153153155154154153151148148147147147148148148148148147146146144144143144142142140139138137137137136136136136137137138138140142143143144146146148149149150151152152154154154153153153153154154152155155158156158160158157157156153154155155155156156156164171177172176173177175160173164163162163163162161162161161159159160159159159159163159157158159158160164157153161159152156153152159161159157155155156155158158164166163163169165164164162164162160168168163161162162160162 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999189190189186185189190192192192194195196196197200203205208208209210209209211213211210209208208208208209210210209210209207205209209209211212214214214213213212212211212211209210210209208999999999999999999999999999999999999999999999999999999999999999999999999999999167165165162163171166999999160164163164165158999155154151151149148148146146147144136123116118119118116114110112114121123129131131133134133133134134134134134133133132132131131131130130128130128129129128128128127125125123124123123126127125127124123125125122128124125131129130130131133132129131133136135143139145144145146145146146147147146147147145146146144145143139141141143145146145146145144142144145146145146147145146146147150148150150153149152155158160167169167165168166163164164163163162161161161160159158158159160160160162161162161161161161160160160159159159160159159159160159158157157157155154155156155153154155154154153152149148148147147148147147147147146146145145145144144143143140140138138138138138136137138138138138139141142143144145146148150152152153153153155154155155154154154154153153157154158159160160160160159158155154154156155155156158156173169171169171179163163161164164163162162170166160161168169161173161161161160164166163158158162164163164160166171162155157160157162157157156156158158159165166167169167169170170171166163164165165164163161162160160160160 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999188190192190188188189189190192193193195196198200203205206207209210210212212213214214214214213212211212211209209208209207208207207208209212213214214214214214213211211211211211210210208208999999999999999999999999999999999999999999999999999999999999999999999999999999999161162160160999999999999162161160161999999157158154154151149145145144146146142136125117118118116116110109112120125126129131132133134134136136135135135136136134134133133132133132131132129129130130129129131127126126125125124124123127125125124124123124126128127126126130126130130133134134134134136145147144149150149149146144148147147149149148142146145144143143141143144144144146145145145146144145146147147148147143143145147147150150150153154156157158161165168169166167166165166164163162162162162162160159158159159160161161161161162162161161160160160160160160159159160159159160159158158158157155155155156156155154155154155154152151149149147146147146145146147146145145145145144144144143143141138139139139138138140140140139140141142142143145147149150152152153153154154155155155153153154153155153155158157160160161161160161159160159155155155156155155174176176177157158170171161162165164164163163163172164161161170172174173162162161160168166161166167162162164164164169164163161160163164162162157157158159162169167166167170170168172171170164165165164167165164163164164159158160 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999191190192191189189190191193193196196198198200203204205207208209210211214214215215216215216215214214214213209209207209208210209207208210212214215214215214214213212211211212211209999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999166162162159999157157158159159154152151146139140999999140136125120120114114115110117119125128130131131132132135135136137137136136137136136135135135134134134134133132131131131130129131130129129128126125124124124125125124124124126125125127126127129129129132135133131133141142143145148152150150150148147145145149151150146146144141143139144142144145145145146144144142143147146148148147148148147146147147148149151151153154155155157160163165165167170167166165164163162163162162162161159159160161161162162162162162163162162161161161160159158158159159159159160160159158158156155156156156157156155155155155153152150150149149148147145145146146145145146146145145145145144144142141141140139139138139140140141140141142143144145148150151152152152151152154154153153154153153153152154155157157158160165163161161159159156155156155153155157173169173176156175171170164162163163164164164172176179173175179180178162162163162160159167165170161162166164166164170171161163165163163160160162161162165166168168172171170169169169166166167165165168168167165165165163160159159 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999192194195193193192192193194195196199202200199201203204204206207209211212216216217217216216217217215215215214211211210210209209211209210212213214214214214214213213212212212211211210999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999164160158999999156159158158157154152151145139999999138139135123119113112112118119121125128129131132135135134135136136136138137137136136137137136136135135136136135134133132132131130130128126126126126126125123123124124123122123125126128126127127130131132135132131133137140144148147147148150150151150148148150149155148154149146146147143142147148147148148147150147144143146147149149149148147147145147149149149151149153153152156156158164170168169166167165164164163164164163162162161160159160160162162163163163163163162162162161160159158157157158159159159160160159158157157156157158157157158157155154154153153152151150149148147147147146146145144145146145144145144144145144144142141140139140140141142142142143144145146148152153152149150152154153154153154154155154154156155155155159159161162162162163163162160162159159156154156171181172171170169167171172167164163165164168176175180182181181181176173165161161161159157166169162168164162165167166164165168168167162163164163164163164166167169170171173172170167170168168170174173170169170168166165165163164163 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999194193194195196197193192192193195196198202205203202202205207206207208210214215214217217217217217217217217217217216214211210209210209210213212212213214214214214213212213212212212212211209999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999160157155147157156157155154153149147142142141139140137132124118113116123119120121124129130133134137138138137137137136137137137137137137138138136135136136135137136132132133131131129128126126125124124124123122121123121123123125130129129130131132132135132134140140139140142143144148151151152152152152154153151150159160158155157158156152150151153151152152155149149147147149151151150150148150149149151148150152151152151151157158160160166168171170167167166165165165164163162161161160159159161162163164163163163164163163162161161159158157157158159159159159159159158157156157157159158158158157155153155154153153152151150149149148148146146145144145145145146145144144143143144143142141140141141143144144145146148149150152153153152150150151152152153151153153153155155155157154156157159159160161163164162159159156158155155160172171156172170170170169159165163165162164163173178178178181181181181176164166164161161160170168169165165167172167170176168169170167164173174167165167167166167171168175175173170169172171174170172172170173169169170168168167167164163 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999192196197198200201199196196196197198202205206204205206208209209210210212215216216216216217216217218218217218218217216214209209209210212212212213213214214215214213214214214213213212211210999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999161158156153155152150149147143142142143140138137134128121115122122122122125126128131132133135138139141140140138137138137138138139139140139137136136137136137136134133134132131130129127127125124124122124124123124123126127128127127130131133135135131133136142137144141146143145150153152153154154155155155152154154152157161160157153155157155153152153155157154153159152153156154154153153154153154154148153152153152154158157158161169166165168167167167169168166165165164162161160160160161162161163164164164164164163162161161160159158157157158157157158159159159158157157157158159159159158158156155155154153153153153152151150149150149147146146145145145145146145144144143143143143143143143143143145147147148150151151155155154152152147150150150150151151151153152153154156156156157158160160161160160159158156159159157171170155166170178172174166160161162161164163164178179179181181167166167182165165167164160161162166174165165169171174176174181171172177183184185184174171168170171169174172176174170172174172173178177173177185175175169167168166165165164163 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999195196197197197200201204202200199200201203206207207205207208210211210210210212215216217218218218217218217218217218218218217215211210211213213212212212214214214214213213215213213214214213213213999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999165164158156154150146143142143142141140137133132127121117116120122123125128129131135136136136137139141143142141139139139139140141141141140137136136135135137136133134133133131130130127126125124126125125124124125124128129129127127129133136137132130136146138136139142146144146148151152154153156155155154154157158159158159159157154156158158160159158157160161163156163156160161162160160160158158158158155154153154156159160160162172163164163164167167169168166166164163163161161160161161161163163163163164163163163162160160160159157157157156156157158158158158157157157158159159159161160159157157156154154153153154154153152151151150150149148148146146145146145145145143144144144144145144144147146148149151151151152151150150149149148149148147148150151151152152154154155155156155158159159158157156158161161157175157170172173171172170172174165161162162163164180180178178181183183167167167168166166164163162162165165167168168174178180180178181176176191187187185177181172173181171171175176178175188175177188178187188188183178173170167165167167173167167162 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999194193196198199199198201204205205202201201204207207207208205208209211211211211211213215216217218218219218220218218218219218219219216212211212212211212211211213214214214999999215217215215215214214213999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999163164160999150150147144141144138137134132129125123121120121121122125127130133134136137139139136138140141144143143142142143142142141140140138136135135135137138133133137135135133133130128128126126125125124125124124126126127126128132136138131132133146132132144139140148151153148147147150150153156156156157158158161156158158158159160163163168169168161161162163164167167162166165164166165163161160160157158156158160161165162163164165165165167168167167165165164164163162162162163162162162161162162162163162162162162160159159158157156156157156156157158158157157157158158159159159160160159158157156154155155155155154153153153152152151150151150149148148149147147146146146145145146147146147148149151151151151151152150149148147147147147147148148147150150151152152154153155154158157161162162161157160161161160174172159170171171171169172171171161163166166166180180180182183184168168169168167168167165165163162165170170171172175176179180174183187194189186185181184182174184181173177178179190184190190190178177185190189186178172169168167166169169166163161 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999206203999999999999999999999999999999999999999999999999999999999999999999999999999999999196196197198201202203204206207206205204203204208210209209208210211211210211211212212213214215218218219219219219219219218219219218219217216212212212211211210211213215215214999999999999214215212212210210999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999149148147146145142139135133129128124122123123122122122123127129132134134136137137138139140141142143144144144143143141141141141140139137135135134137139134133134136135134133134132130128128126126127126125125127128127127128130129133133129138142135136136140147149146153148146144145148153154155156156157159159161162160158165165165168168170165160160162163164166167168168169166167167165165164165165161160159160162166161162163165168167167167167164163162162162162162163163164163161161161161161162162163163162161160159159158157157157156157157157158157157157157158159160160161160160159159158157156155155154155154154154154154152152151151150149148149149148148147148147147147146147146148148151152151151150149150149147146146146147147147146147147148149150150151152153155157157159162159161161159160158162160159179167170170171169171161162164165166167168169169170181185187172171170170170169169170165170165166169172172175175175177172172180173181190195190182182185188189184172176178182183182186181178180186186183190182180178176173171166165165165166166164 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999211212999999210212999999999999999999999999999999999999999999999999999999999999999999198198197196198200202203204205207208209208207208208210210210209210211211211212212213213212212212213215217217216219219218218219219220220219218219214214214213211211212214215215217999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999148149149151147146146143139135133132130127123123125123122123125126129129133134135137137136137139140140141143143143142142141141141141141140140138136136137137139136133136138136134134133132132131130129129128128128125126127128129129130131133133133130134131131135141145147143149141138140145145147150154155155156157159160162160160161161162164169170162161163166163164167170168170171170169166168165165165163169161167168164164162165164165167167168167166163163161161159161160161161163161162162162162162162163162162162160159159158158158157157157157158157157157158158158159159160160161160160159159158157156156155155155154155155153153153154153152152150150150151150150149149148149149149148148150151153154152152151151151150149147148148150149149148147147149149150151152154155156158158160161160160158160162163163161159178168168170173162164164166168168168169170171170184185187187183173173171168170170170168169169169172175177178172178188192185179181177190186184184174179189191172175175176178178180181180181181182188184183185180180178176174173169165165167166163 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999213213211211210210211999999999999999999999999999999999999999999999999999999999198199197198199199199200200201203204205207209209209210210211211211211210210211211211210210211213213212210211213214215215218219219219218219220220220219217216215214215213212213214216218217217999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999148148148149149147143144140137137135133132128127126125123124124126127129129132134138138138138139139140141142141142141140140142144144141140141141138138138137137139137136138139138136134134133134133134132133131129128127128125126129126129130138136134136135131131139139144146147148138142144143144145147149155154157156154156158160161158158158162165168162162162163166168169172171170170169170167168165166167163171165166169169168169167166168171170168168165164163162161161161160161160161162161162163162162163162162162161160159159159158158158157157157157157157157157158158159160160160161160160160159160158158157156156156155156156156155155155155155153154154153152152151151150149150150150151151152154155155155155154154153153152151151152152151151150150150151150151152154154156157158160159158158158160160160161161158171170169168172175166167168175182183170170173174185185186186186172173173172174172169171169172167174177179179179180188190199194175184180180177179180178186187190172175177178180182182182180183182190188186182183181180178178179178176173166169168168 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999211211999208209209209210999999999999999999999999999999999999999999999999999999200202204202202202202201202202202204204206208208209208210210211211211212211211212212212212213213214214214215212210212214216218218219219218219219220219220218217216216217216215214215217218217999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999158159157999999999999151151149148149149148149148146145145141139139139137135132130129127127128128129130130132134138138138139139141139140141141142141140142145147146145144143142142139139138137136138140139140138138136137135134135135135135135134132132131129130129126130130134137132133132139138138137142142143145146141144142143145145145148149152152157158154155155159155156162160159166163163163165167169170170169168171170172171169167169168167167168167170171170167169168170168172170169166164163163165166165163162161161162162163163162162162162162161160160160159159159158157157157157158158157158158159159160161161161161160161160160162162158157158157157157157157157157156157158159158158158160160159157156154154155155155153154155156156157157156157157155157156154153153154154153151150151151151152153154156157159161160159158158160160159159164173162169172174173176177169170171180179173173175175176186187186185174172172174174172172173174173175173172173174182182184198196196193192197179176172181182181197199193189190192179181183183182182181182184189185182180182181181182180181180179175172172170 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999210210208208206208209208207207206999999204999999999999999999999999999999202198203204205202202204202202202204204202204205208209208208208210210211211211211211212213212212214213214214215214215212212213215218216217218218218218220220219218217217217217218217217217217217218216999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999163158158156155153152149149152151151150149150151152150150151149147141139139138134134133133132131133134133134135137139137136137139140140140140141141141140143147148149149146144144144142141140140138136139141140140139139137138136135134138138140139137138135133129129130129132133132132132131137142141146144141145145147146145144143143145146145147149152152156157157158162160168157164163165164165165168170165170171171170171172173172171172169170168167170168168168171172166171163171169174175169165164165167167167166167167168165164164163163163163162162162161161160159159159159158158158158158158158158158159160160161162161161161161160163164163162159159159158158158158158158159159161162161162161159160163165162161160159159158158157158158159158160159160160160161160160158157156159155154154151152152152153154153157158160161161159158158158164162164160167171175180175177177169170170172172174174175176178187188187176176173174171173174174172172172177173177176175189191190188189195196206203208183183180182179189207200199199192193193196182183190191194181201192179177178180180181180181182184184183175174172 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999207208209208208208209208208207206206205203206204202203999999999202204204205205204202205205202205202202202203205205205205207208209209210210209211211211211211212212213213213215214215215215214214212212213217215215217217217217218220220219218218219217217218218218217219218999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999163161159158157156156155152154154154155151153154154151151152151148144141140137135133135133133135135137139137137137137136136138139139140139140141141142142145149150150150149147146146144143143141139138138140142140140139139139139136136137135135136137137138136136133131131132136137133133136137142144143144142146142146148149147148148148153151152153155156157158158161163163164160160159163164167168166170169173171173172171172172173175172171171172172173172170170168171170174171171167174174174170166164166167167166167166167167167167166167167165164163163163162160160160160159159158158158158158158158158159160161161161162162162161161160161161161160160159159158159159158162161160162163163162163163163166164165165162160160159159158158159160161160162162162165163164164163161161160160158158155153153152156153155157158158163160160160159159159166167176172169174178178179168169169172171172174174176175178179188187179177175175175176174172173172172172177177182181195194188196189189187207202207202193182181174192196207201195199199200193202198195194194194194196192190190194181183182186189187188180180179178177 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999208208999999999208209208208209209208209209208207205206206206206205205202202206206207202203206206202201202202202204202202202202205205206207209210210211210210211211211211211212212213214215215215214214214214214214213211213214214214216217217217217218219219219220219219218218218216999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999167164162159159158157157154153157154154154155151152152151149150151150148142141141140135133135135135135137141142140138137136139142140141140139140140141142143146151153153152151149150148147146143141139138138137140143141139140138139141141139136136136135135136137137136134134133135137138144145148150154155151149150151150152153157159159159156159155155158159158157157156166167166165165162163161162168169167167169174175176173176174174175175173173173172172172172171173173173169169168167170172174171168166165167168167167168166167167167168170171170170168167166165162161161160160159159159160159159159158158159160160161162162163163161160160160160161161161161160160159160160160161162161162164164165165166169167166165165164163165165163163162161161161161163163165166167168168167167165164163161161155154153153153156154160160159162159160160159171172171170175184178177182183188169170174174173175176175176174176190190189190179177177170173184186176173173176177194197182187184186200197203186185182205201180181183193176195199192194200194193195205198203200200195199198196197206198192192182183188187186187187185181186 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999208209208208204208209210209209209209208209209208208206205205203203205204206206202203203204204203202202202204202202203203204206207208210212212212212211211211211211212212213213214215215215215214214214214213214212210212214214214215217218218218219219219221220220220219219217999999999999999999211212210999999999999999999999198198195190191999999999999999999999999999999999999999999999999168166163162160158158158158154153154155152151154152151152152150150149145143141138141139138137134134136136139142142140138139139143145141142140141141141143143146152152155154154154152151149148146145143140139139139139141140141140138139141140139137137137135133135135136136141141142145146156151154155161163163158158161155160162165164167167166165168167166170176167166161159162161159159161161170162164165170167171170174174175172176176173175174172174174173165173171173171174174173173174172170175173173169167166168169167168168168169167168170171174174173172170169167164163162161160160160160160160160159159158159160161162162162163162162160160159160160160163161161161161161161162163162161163164164166167169168168167166166166165165166165165164163165165164166166167168170171170171170168165165164159158158156155157157156163163159160159158165165170171174177182183180178188188187177177177173174176178180178177177199196196193184180175174196187186176174178194195190193182185182186199200189189188188188185183182182181178181199178194197200192197204197203198203194195199198199199196196202182185188189187192192191188187 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999208208209209208208209209208209210209209209209207208208207206205204203202203207207204205206206204203203203203204204205206207208210210212212212212212211210211212212212213214214214215215214214213213214213214214213212212212213213214214215217219218218218219219219220219219215219999999999999999213215213212999999999999199199198197197197197196198999999999999999999999999999999999999999171165164163161158160159159158157154154154156155154152149149149149149146145144142139138138136135135135139139140142142140141141142146147148146143142143145148149153157156157156156157155153150149147147146142142140140139141142142140139138139139138139139137136136137137137136140144144151154154158163166168166166167169167171175174171171174174172174173174174181176175174172170169169168168167173174169169175169169170169170176172172175175169172174174174174174173174175176175173171173174173171171173176174170168169169170170170169169169168169170174174175175174173172169166163162161161161160160161160160159159159160161162162162162163162161160161160160160160160162161162161162162163162162162161164166168168171171171170168166166166167167167167168167167168167169167172172174175175178176171170167165165163160160159159164163173168173166158169174175173174176176181176185183185187185180181180177179181184200186189189200194189198198193190199200199197195196195195187186189191183186200198201202190188190197186184185184197199184181178180181200197207192196197196192207197197197199200198196195185185191194193191193190188184 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999209208209209208209209210209209209209208211209209209208208206206206205206205202208208205206207207207208204204205205207207209210210211211212212212211211211210211212213213213214214215214214214213213213213213213212212212212211211210211212213215217218219219219220220220220222218999999999999999215214213211211208999200201199199199198198199200197199198197999999999999999999999999999999999169167164162162161159158159159160160159161162160157158156151148147147147147147146142138137134135136139141140140141142140143143144147149152155152149152155156158160159159157159157158157156156153153151148142143142144143141141142143141139140138138137136140137138139139139140141146149154158164166169170171174173174174172175177173176175177179175178180179180183183184175181176179173174174175173173175177175171168167169168172176173174177175175175175174174177174175177175174172172171171171171172173173174169167168170171171170170170170169169172175176176176174173172170167164163161162161161161161160160160159159160161162162162162162162162161161162160160159160161162161163162163162161161162163165165166170171172171171170166166167169170170171170172170168168168171180182182183182182171173172169167165169169167169171174177175175170174175175171172173176176177180185181186183185172182174176176179183195184185187199199191193198199191197201202191201190190189191188186189195197193199201203203202192208200197192194186205206207194183185184184183205194195201202178195195197199200199201200199191190189190192193193184181189 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999209209207207209210209209211211211211210209208209210208210210208207207206206204205203205208207205207207207208209210206208209210212212211211211211212212212212212211211211213213214213214214214214213213213212213213212212212211211211211211210212212214214215218219219220221221220222223219999999999999999213212209208208205207201200199200200201200200201201202200198197196195999999999999999999999171169168164164164162161159159162163166165168167164165166163159155149147145146145144142139139136139140143142141141143143143147147147149151151155155155155159160162162161160158159160160160158159158156154148146143143143143142142142141142140140140139137138138140141141141147149152156165166167170168169178168173174173176178179179178180178173180177178179178180184184183182180179178175181180177176177177175176174166169174171170180173174175175174174173173175175175176174172170167169172173175175175174174173173171170169169171171170170171171172174177178178177176175173172170165165164164163162161161161161160161161161162162163163163164163163162161162161162161166161162162164163163162161162163165166166168171169173171171169169168169172173170170172174170169169172180181182184179178178178174173169168169170171170171174175173175175174172172173169175180175175176181185185186184182183184188188182185182192192191192198198192199200200202193192193193193192192190192191191192195194197200202203203204208216196196193215213214210203190188191189186203210197195212192181181181180178201203203198200187192200193193195191196188188 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999208208210208208208208210209209210210213213211210208207209210209208208207206206206206206208206205204205207207207208208210210206208210212212211211212212212213213213212212211212213214214214214214214214214213213213212214214214213211210210211210210211211213214215216219221221221221999223224226224999999999999999999208209205206205203202200201202202201200200201201202200200199197195191999999999999999171168165163163164162162162163164164166171168169167167166167166162159151146144144144142141138139139141142145143144142145147151151151152153154155156156158158161161161161162162162161162163163160160158157154151147146144144142142142140141142139141139142140142144145150151153155155169167169172175166168171173175174176178179180179182181183179178178178178178179182183180183180182180180179181178180178177178177177177173173174174177174175173174172173171172173173172172172171170171168171175178178178175177175174173171170170170171171172172174174177178179179178177175174174173169166166166166164163163162161162162161161162162162163163164163162162161161160160161161160162163162163164163163164163166166166167171170171172171171171171172173173172172171172171171171179181182179180179180180182177177170169177181182177175174173173174175173173167171171176178174180181181182182183188185185188192188184186189188192194199197185199202201204200191190193193196195188189190192194195196197199202200202203194197198197196194212207207206189198200187185187184195210181182180181180182176177175197195201196204202199199197192196192185184 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999203210210210210210210209209209208210211215216215212211209210210210207207208207207205207204206207206206205204205208208207207210207209212213213213213213212211213213213213213214214214215214214214213214214214214214214213214213213212211211210211210210211212213214214214217220221222222223224224227226225223999999999999999999999207204203203203202202201199200199199200200200200198196193193193192183999999171166166163165165163164164164166165168169172169170168168167168166164158152149147145143141139141142140142144145144147148150153151153154155156156157157158159160160161161161160163163163163163164164163162159153151152148146145144144142142143142142142143144147154155156157157158160166171171168171172173176176178178179179178178179180180179177180177179176173180178181183181182180182182177181177182182181181181181180177175173177182177178177177175174173174174173173175175173174173170173175178178176178179177177176174173172172172173173175175178179179180179179178177175174174173168167167165165164163162161160163161161161162162162162163162163162163161161163163161161161162162163162163163164164167167166166169170172172173175176173173175169173171172173172172170178177178179181181182180181179179179177187186188182181177176174174173169169168176178176178179181180181181183183191186192188192191187193198198193201193198197200203205196197195193201194195194193195202200195196196198200201202201202205206198196196194190189189210212204197188188186181180183179180181180188181180178179184203201203200198201197199197192192189186 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999214212211210210210210210210208208210211212214216216216214211210211209209209208209209208207205207207208207207207204207208207209208207212212213212211212212212213213213213213214214214214214213214215215215215215215215215214214213213213212211212211212211213214214213214215217219220221223225224225227226226224999999999999999999999999203202203204203202200199197198199199198200200195192193192191190186186177169169169167166166165166167167169165168169172169170171168168167167166164161157154151148146145142143144146144146146148152154157156155156156156156157158159158160159160160160162161161164164165171168166163163158157158156155155155154154154155153155155157157159160160162163165167168170173170173175177178179180180183176173179177180178179177176175174177176175177177176179180181181181181182182183179178182183183183183180182181182182180180179178177175175175176176175177175176176175169170174177181179178180179181179177175175173174175175177177179181181179180179179178177176175174172169168166165163162162161161161160161161161161161162162162162162164164167164164164162162162161161162164164164165166166165165167169170171175174175174175177176175175174174175175175181177182182184181182181182184185182189187186185187185180181179179177170169175175175178179180179181182182183187196193189189194191192192197193201201201199203203203205198198198196198207204202201202202201201201202202200200202207204204207206197205206206189189211209191190189187185180186182181180182184192182178184185187201203205198195197196199198193196194193 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999215215214213212210210211211212212212214214213215215217218218216213211211209208208210209208207208207207209207207207205207207209210210212210212213212210212211212213213213212213214214214213214214214214215215215215215215215215215214214214213213213212212213214214215216215216217218219220223226227225228228228225999999999999999999999999999999999202205202200199197198200199199201199196193193193194193191184176174172171168166167167168169168163164169171172172172170169169169167167166165163161158153153149147150149148149150149152156158159157157157158158157159159159159159159159160160162163163166167168170171170170166165162163173172158157157157157159157160157162158159161168164166166167170173175174180178177178178184184181179176180178177169178177175176172177176175176176177180181179181182181183182180183183183179185185184182184184181183183183179179177177177176179177175177177176174174174175180182182178183183184182181180180177176177177179179180182181181180180180179179179178175175173170170169166163162162161161162162162162161161160162163163163164165166168169167167165166164162162162163164165166165166165165166168171171175178179177176177177176177175175178176182183182182184185182181182184185190191190188188189187184183174180181176175178177177176178179178179179181184186192185187189188192190190196195196201201202202203202195196197198197198199208205203204204202203199197199198199199199207210205206208207208208210210192191190190189209190189188186193183195184186187184185195185189189190189204206201201196197196194196197 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999214215215215212210213214214214214214215215215216216216217217218219217214213211210210210210210210210209209209208207206206207208209211213213212214215215215213212212213213213214214214212214213213214214214215215215214215216215215214213213213213213214215214214215215216216217217218219219219223225226227228228227222999999999999999217219999999999203204204205205203200200201200200202202200195199198196194194192190187184179171167167168168168164164167169170173171171171170168166167166164164167165162160156155154154154154154154151156159160159156156158159158158160161161160160160160161160162162164167169171168171170171170169165163163164160157163164165163163161160161164164166169169170171175177180181182182180184185183186181181181180179178178178177171169169175172178178179178179179179179180181183183184184184185185184184183181184184182180176185184182180181178177178180179179178179177182183178178182179182184186185183185184183182181182181179181182183183181181182181181180179179177176176175173170170175166165165165166165164164163163164164164165166167168168171172172170168167167167165163162163165165165166166165166166168170170172176179182180180180180181181180180178185185184182183185182182181188190190185184185190189187180184174175181182183175180179180180182184180181183185191191186188190190194195197198196197201202204202197193195197198199196205207206204205206204204203199198199198198200202203205206207208208208210211212210201193193193206193189188186185191187185189192193189189190187188187210211209210206200205200196203201 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999213213215216215214214215214213214215216216216217218219218218219218218218218212210210210211211210210210211210211210210208208208209209211214215215216217218216215215214214213213214214214214214213213213214214214215215214215215215214214213213213214214214215214214215217217217218219220220220220221223226227228228227999999999999219219220222224222217210211209209208206202201201201202205200200199203203204202199199200199189191179172170169171168166165169170171172171171170171169168164167166165167168167163163162158158160159158160160159159159158157158158158159160161160160161160162163161163163164168171172176175175175174173175169167165165163165170170169168169171168171174174174175176178178179183183183183184184184185183183181180181180179179177176176170170172172170177179180179178177177179179181183185182183183184185184182178183178177182178182182185184181181178178178177179178178179178184182179178182183182185186178187185185185185184184183183183184184183182183182182181180179178177177177176172172172170170173169171171171170168166165165166166168170170171172173173173172171170169169168167165164164165167167166167168168169169170172174176181184185184183183184183183187186187185184186186185182183189192185184183191189188180179177176177184184185177180181186184184184185183187189185192191188196203198200201198197198204206205200202204206208209208208208201207205206204204200199198200199200200202202206206207208208208209211216220221212208214205205207192189191189195189188187198193189191191190189209208202207211212207207209204206206 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999211215215214215215216215215215216217216218217218220221221220221220217216220216212211211211210211211211210213212214214213210211210212214215217217218217217216215214214214214214215215215215216217216215213213214214215215215215214214214214214215214214215215215214214215217219220221221221220221221223227228229229228999999999999223223224224225221215212210212212213208204202201201202206204203203202205205206204204205203195195190181175173173174169167168168168171171172170167169168168167168169169170169169168165164162161163163164161159161161160157159159158160160160161160160159161164163163162167170172177181179182178183180176173174169167168176176175175174177178178178177179179176179184183184185185183184187186181184179180183181182180179181178178175174175173177174178180179179178174176178178179185184184186185185184185185183182184179183181182184183185182182178182179178178178178180180183182182180178182184186184184187187187188188187187186186187186186184183183184184182180181178178178176174173173173171171172173173174174174172170170169170170172172172173173174175174173172173172170170169167165164165165166169168169170169169171173175179181185188188188188187187186188189189189187188187186187191192190192192191190186187186185185180181190179186183187189188185185186187192193185184192195201201201205202201200200206204206205203205207209209209210210210208205205207206205198199199200200203204205206205207207209214214217216214215221220217220210210209206199201191195192191189191192190190197187201208205203208213212211211211206208207 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999212214216214213212216216217217218219220220220220221223222222222220221218220218216214214213212213213214215215216215213213212213214212215217219219219219218216216215215216217217217217218219219219218218217215215214214216215215216216215216215215215214214215215215215216218219223223224222222223221226228230230230229227999999226227229229224223999999999212211213208211209207204203204205203203203202205207204203205202205207202199192187181182178170169169168169167171169169168170170172173173173173174173171172168170167166165166166165162162161161161159159160160160160161160160160161164165164166168171175179183185180182179184179171175173177178179179181182183179183181184187187183187186186187188185188188188186187185179180181181179178178179181179178176183177176179180178179181182179176181175183183182185184186188183182182178181185179182183180180184185185183183179172179179178180180181181175176181175185186186187185182187189190191190189189189190190188187184183183182183183183181178177178175175173172173172172175175175175175176175173172172172172174175175176175176175175175174174173173171170169167166165165166166167169170169169171173175179182185190194195194194199194193190189188190187189193194194193195195195194193188187187188189193190188182189191194192193189191192194196193189197200200208203204208206206203207204206205205206207209208210210208207208206206206206206204203204206204206207207205214215208208211218220220219219220221220219221217214213216189191195196198196194194194192204204205207206209209211211213211212214211210208 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999213213212213216218219219220220221221221221223223224223222222219220219217217218218218215215217216216218218218216214214214214214214216217219220221220218218217217215216217218220220220221220220220219219218216216216215216217218215218216215215214215215215216218217219221223225226226225225225226226228230230230230228230224229230231228225999999999999999999208209210205208208203204206203205204205207210210206202201203204202202198198190184182175172171169170170173170169168171173174179180180178176178177176175174169168169168167166164162162162162161161161162162162160161161160161162166166165169172177181181184184185185184174180178177182181178181186183187181188184189191186189189188189189189191191191189188190185183182183184179179180184180182181176180178179177177179183181180181181182184184184185185185184186183182180182184183182182178182184186182184184182177171178179176176177179181178180183182181184187186185185190189191192195195193191191192191188184183183181181183182178177177177176175172172173172172179176175175176178177176175174174174174176176176177176176177176175176176175173172171170169168167167168171173172171169172176178180184187191195198199196199196194194191191194193197196197197202197196195193186184190191195195195186184180182192193194192196195193193193199198196208209207205206206206203206208206206207207208210210211211209207209209208207207206205202206205203213215213213213214214214215217219220220219219220221216215212211218212209203197198198199199202202202208207206209208211212213214214215217217216215213210 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999216218212214215215215217220220221222221223224223224224222223224221222222220219220220217217218216220220220219220218214214214213213215217217219220221221220219218218217216217219220221221222220221221222221221220217217216216216219217218217216216217215215217218218221220221225226227226228228228228229229231231232232232232231231229226224224999999999999999999209209209206208206203200202202204205211213208211210208201201203196201203203197187185182179178174173173171169172170173177179182184185184184182182179179178174172171171171169168165165164162163162162163162161161160162161162163164166167169172179179182184185187184181184185186186186187187188190191192189184193194194195193193191192193187190191188189192188184190186184185181181184182182183183185183183181183182183186183184184184184182182178183183185182182181180182182183182182179175182185180181183182175176174176176176176176177176178175180180179180183182185188188187189192194196196195193195192188185183182181181180180178178176178177175175174174174174179176176174176182181176175174175174175177177178178177177176177176178177177177176175175172171171171171173174174172172177179184185186189193197199201197203198198199202198196201198198198196195198197198194192190198198200198189186184184186185195196199198198199201202203200199203204209204205206205206208208208208208209211211212210210210209209205208205205203203203203203207208216216215217215216214215216217217214213214214215214213212210208213209209196196197202203204205206209210211213216216217218219221223221222220218215211 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999216219220218217219219219222220222222223225224224225222223223224223223224223222220219218218221221220219219220221219217216216216216217218216221222222223222220220219219219220219221222223223222222222223222222220219218217217217217216217218217217217216217217219220222223224226227227228228229230230230230231232234234234236236999999999999220214216215212213999206205204206203200204203199202203210210209209207206207206208206201196198204203191184181183179175174174172173173170179183187186187187187184183183180183179178175174172171172171168165162164164162161163163162162162162162163164165168167169173181180187188189190185186184189190190190183185192193193190190192194193195195192193193193192193193194190194191193189191191185184185183184183184183187185186186183184185189185187185189185186185185183185183183183183181183184184182181181181181184184181184184186179180179179178176176176176175174174173175177175180182187188187188190192193195198198197194194189187184183182182182181181176175175178178176175176176178177177175175176179181172177176175175176177178179179179179178177178178180180180180181180178176176173174175176176174174178183186191191191194196199204203206203203201200196201200202203195195198200196202192193199197196200197199198200194200202199199199199200203200198201200202204205207207206206207206208209206206210209210212211211211211211209206209205205205205205206207209208209210213214212214216215216219221212212215215215215216217223216215213209202205203204205203207207209213214217221223224225226227227225224223221215211 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999216219218218217219221220221224224224223224225225226226226223222225224225224223221220218218220219219220220221221219218216218219219220220218221220221223224223222220221220220220221221222222222222223224223223221220219218219220219218219216215218218216217220221223224225227226227228228230230230230230231232234235236237238236999999999999218218216213213211999204206207205208208204201203205211209214209210206205200208207205205201195198200197188179188183176175171174176173178188185191191191189188187188186186185186181177177175173173171170167165160164164163163162164163163163163164165168170170171174179177185188189190189188190192192192193192192191190191193194194194194195195195194195193194193192195193197195195193194188187188183182184183188187186185186188183186187186187188188185185187187184184181182182182181182183185182183183184181181182182184182186184179180181180179179178177177175175175176177178174177182185186190191192193195195197199198197195192189184181183185183181178179183179183181181176177177179175176176176177174179179171180177177177178178179180180179179179180180183182183183184184184184182180175175176176177177184185190191190192194195198204205205201201200198198202202202205201204203204205205201206203200197198200205203199201199201194197198198203205204205210208207206208207206207208208207208207206208208211207207207209210208209210205205210208208209210209208209211211214212213218219216215215212212212211211213213218218218216217215215212209208207206204208211213212214216223221225227229229228230226226224223219215 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999217218219220216216216220220226225226223225226226226226226225224225226225225225221220218218219219220219221221220220218218219220220220221221219222224225224224225224223222221221221221221221222222222224224224222222222221222222221220221220219218219220220222224225226227228229229230229230230231230231232233233235236236238235999999999999219217999215214999999201207205205207204202202204208210202200205205202202198203203202198205204204207202196186185185180176173176175183187189194194192189190191190189188187186184184183179176175174173171170168165164164164164164164166165165164165167168169170171175178182184189189189191192192191192193192190194194186192195195195195197194196196194193195193193194195196197194194197191191191189188184183190191189184185186185187188189186186186184187189189188186184184182185185181183184182180181182183182184184186186187188185182179180179179178172177177174178176173175175177177181186188189190192195199199199199199198197195192185182182180179178179181181183182181177178180182179178179178179178181183180180178178178178179180180180180181182184185183182184184184185185187186187184184178178180184185187190194193195194195198201209206209207205202201205208204206207208207210211211212212209208207202199202208202200204205199201204204206207208212212212210206208208208207208208209209209210210212209207209208207208210209210209208206206206211207208208214217211213214216221220217217217216215214215215215216216218217216221218217214213214214213214214215215216221221224227228230229230229230229227226224226221218 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999225227230228224999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999217219221217218219218220222226226223223227226222224225224226225225225225225223222221220219220221221222222222221221220220221221221221221221223224225226227228228227227226225225224223222223223222224224225224224225226226226225225224222222221220221223222224226227228228229230230232230230232231232232233234233235236236236234999999999999999999999999999999999204206205204202204201203207208205202204200202203203209197198195199199204204206205199195189189182176176177183185187188190192192191191192192193192189188187183182184180175173172172171170167165165165165165166165165165165167168168170171171177179183186187189190189190192194195192194191191194195191194193196196196196199196195190190191191195196197198196198196194193190191191188188188188185179184185187188184189188186184184187190189187183178182182183184184185185183183185183183181184184185186187187185181181180179179180178175176177178180177181177178179178188190193190193196202202202200200199197195192188183181181180179186182182181182184178180180179181184180179181183184184182182181181181182181181180180181181182184185185184184184184185186186186187186183182180182188189191197194195195197198200206207209209208207213214210211212213213210208212213213211213214212211209207205208210205209207205208210210211213214214213211208208209209207208208208209210211206209210211209210210209211212210211209207206209212210210210215215215212215217220219220219219217216215217215214214217217216219218217218218219216216218216218218218222223223225227229231232231231233235230231229227227225222 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999232230230232235227222222225230999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999218217218215219220217217218218220221223228224223222226221223223224225224224226225225224224224222221220222222223223222222222222221221222222222222223225226225228229230230229230230229229228227227224225224225225226225225227228229227227226225223223224221223221223225228228229229230231231232232234234233234234234234236238235999999999999999999999999999999999999999999198206205203201204204207215208205206208203205201204201199200202200200200204202200208198194193183178181185189191193190197194191189194191192191192190188186181183183178176176172171170172170168168167167166167166165167167167168169170172173176179183184185189190193190191194195196196195196190194195197196198197198198198195197197193196197201195196198200198197199194193191193189188187187184183185182183183187188187186189189188191188189186183184184183183184185185183183184184184182183181185186187187185182183182181178178180179179175177182183192183186188185189193193194196199202202202200200200197195194191184184192190188183183182182183182181180177181181181181182183186187186186183184183184188186184183183184185185186186187186185185186186187186186186188188184184185191192193195195199202199201207207207210210209210216217219217215221213212213217218215215219215215215215213215210213213210210210212211209213210210215213210209210209208208208208209210207208209207207211208209218215218214214217214216211209213210210212214215214217218221221221222219219219217217216216216216216216216220220218220220221219219220220222223221223224226227230232233234234232232231230233231229226226223 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999228234235237236236235233231227228223999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999220219219219220219219216218217218222221223224224223226225226226226226223223223225225225225224225225223222219222222222222222222222223223223222223224224225226229229230231231231231231231231230229228226225225226226225226228227228228228228227226225223223223222222224224227228229229230231233233234235235235235235235234234235236999999999999999999999999999999999999999999999202206205206205210209210216218212209207206201203202208199199201203200202207200200211199194190183182188191194189191192193193191191193193191192190188187184183183182180182181179175170172172170169169169168168168169169169169170170171173174176178180186188190191192193193194193194193194194197197197197198198199199197199200198200198199200203197199197200202200201197197196196192195191189187186186186184189188189190190191185185190189185186182184184182183184184184184184183183182182183184183183188184184184183183181181179179180179179182180190189195197187191194194198197197199201201201200200201200198195191191189188186186184185187183182183183177178178185179179188187189190189189186186188189190189189190189189188188188188189188188189189190189188187188189190191190191192195195195198199202201202207208210213212217218214216219218216216218217220220219220218218217215220216213218214213213212209214214211214217207216214213212211211210210209209209206206207209209210211212213209220216219220221219220218217210210211211213215217217220222224225223222220219218218217216216217216216217217219222220222221222221221220221222224225225226228230233235234234234233232232230231233228228227225 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999232239237240239239239238237236234232234228223999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999220220218218220218218219220221222223224226226226225225227226227226226226224225226226227227226226226225223222222222223223221222222223223223223224225227228228230231232232233233233233233233231228229227226226227226227228229230230230230230229228226225225222224225226226228229229230232234235237237237237236237236235234234235238237999999999999999999999999999999999999999999999999199200208204205211219220215209207210206211199201205199205205199202203208205206206195191186191190193194192194195191192192193194193192190189188188185183184182181184181178174172172173172171170170170170172171171171170170172173176176178178180188190191191191192193192193194197197194195195198198198200199199201200202205206206199201202201202203203204203195196199198199196196195194189189187187184185189191188192193195191189190187185185185184181184185185186185183182184184183184182181183184185185186185184183181180184182180182183185190193195189192196197198202201201201202204204202201201200198195190192190190188188187187186186184184184185180190191183182189188191192192193191190190191191191193193192191190188190189184184189189189190190191190191191192192193193195194195196200197204202205207209214213217217217214214219220216217218220222221221220219219216218219218214221219215214213213215215214214218215214214212213213209211211211207206207206204209210211217212213220215215221217216216213212212212212214214214217217218222225226226225224224220219219217217217218218217219219222222221221221223224222223224225224226226228231235237235236235235235234232231231229230229229225 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999233236238238239238238237240238238237235236233229232999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999223221219219221222223222221221223224225225226227227226227226225226227228224227227228228227227228227226226224224222222222223222222222224223224223224226228228230231232232232232233233234234234233232230230228228227228228229230230230230230230230231231229228227228228227228229229229230231234236237237238237237237236236235234234238239237999999999999999999999999999999999999999999999999999196204207207214221216214209206211204203206203201203205205205207203208205204198197193192194193197193195194195193193190190192192191190188189186185184183182182182180180178174173172173172171171171173174174173174172173175177176178178179181187191192192191192195195191195197198190197197199200201201203203204205204204205206205206202205205205207206205198198199205201199198196194189188187190190188189193195192192195191192192195193186184182183184185184185185185185183183182183183185181185183185183184183180181181181180181182186184187189188194196199199197203204206206207207206205205202202199197193191192192191191189188190186186186186189186194184182182191195195194193193193191192193193193195194192191189189188184184185189189189190190191192192192192194193194194195199195199212208204210211219217220224223223220219221221221219221222220222221222221220219218219220220220221220218219217214215214219219217215213212212211210212212208209208207207209214213209210219213213221221214213213210213213212214218219224221218220222226227227226226226225224221219218218219219220219219221222220222222222222223224224226226226229231233236238238237236235235233233231232231229231228228226 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999239239239239238239239239239237237237238236235236999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999224222224224224223223224224224224223224226227227228227228229228229230229229227227230229229227227229229229225227226225225224223223223223224224225225225226228229230231232232233234234234234234234233233233232230228228228228229230230231231231232231231230229229229230229228228230229229230232234237238238237238238239238237235234233236237240238999999999999999999999999999999999999999999999999999999205207209220221222214203210210205211208201201201203203205206206206203204202200196190192200196195194195200193193193193193193194191190188187185184183182182182182182182177176174173174173174173174175176175175174176177178177179179179182189193191195195196198201196196197197198199201201200199201202203204206204203206207206203206207208207208207205204203205207204200200198197191189190190192192190193193193194193192197198199194188186186184185184185184184185186184185185186187183181182183183182183181184183184184185184187188184197193195196204201199199205209210208210210209207206205204200198195193192192193197190190188189187188188191189192188186187199198196195194194193192189195195195196195192191188188188188189190185189190190190193193194193194202190195195198199200205207212209210212221220224225225219221222222222222223220221221220223220219222222221220221219221222220219219217215216220221221217213213213213212212210211211208212213214214215214209217220213213213221212213214213216214213218221218221221221222225228229229227228227227226223222222222220220220221220220221222222223223223223225226227227231232233237237238237236235235234234235234233233231231228228228 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999237239239238237236236236235234233229237237237234999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999224224224224225226225225224225225225225226228228229228228227227228229231231232232231230229230230230231228227229228227227226224224224225224225225226226227227229230231230233233234235234234234234234234234233232230228228228228229230230231232232232232231230228229230229226227230231229230231233235237237238238239239239239237236236237235237239238999999999999999999999999999999999999999999999999999999202205210210210216219211208212211211207198200201198200205205205204201198197196197199202199197195196194193192192192193193194193192187186184184180181181183180181183184182182180178178176178178177177179179177177179180179180180180180182189195198200199195200198198201194197200193202201200202197204204203208209205206205205206209209209209208208207206203204203203200199200197196192191193194192193194193192193195197194197199197189184187185185187187187190191198190190191194193193192187185185182183185186188187187188186186187189192197202205203203205202207210211212213213212210209207203202197194193193194195196193193192190190192192192193193194194194200200195197195195194195196196196196196197193191190191191190191187191189191192192193199202202193196197198198199201202204210214208211214218221219219218221221222225224223221225223222224221223223220219222222222221222223221221219219219219222223222217216214217214216216215215212210213214214215216215217219215214214220213220214215216218217217218219220222223223225228231232231229230229228225223222222222221222221221222221221222223224225224225228229227229231234236239239239237237237236237236235234232233233233231230229 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999235234237237237235234231231232233234233233234234235999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999226226226225225226227227227226226226225226227229229229228228227228229231232232232233232231230231231231230230228226230230229227225222223225225226227227227227228230231231232234235234236236235234234234234235234232230228226228230230230230231232232232232231229230229229229228230229230231232232233236237238238237238238239238237237237237239240239239999999999999999999999999999999999999999999999999999999999206210221218220216216214212212211207206203203197198204203204199196198198199201201202200197197195195195193191190191194193191189189187185182184180184184185186186185185186188185183182181182181181180182181180181184184182184184183183189194195195198202202202200200199199200203204198197203204205206208209209209214214213205213213209209211209205208206205204201201200201202198196197198195195194191195196198194195195190189187189188188189190190191194199201200200199204205205204203201195194195189190193192191191191190187189192199203201204205208208208209214211213214213214212212209207204201198195194195198197196197196194193195196197197195201201201201200196196196195196197197197198202200195194201201191191190196188193192193194199201198200199198197199197202201206211214210211211212218221218218218222222222223225225224225228228226224222224223222222222223222222222221222221221220219221224221221222217216219217217217212212211212210210211212218211213221215214218219215216216217216216217219220220222223224224226228232232231231230230231226224224223223223222222222223223223223224225225227227229227230232232236239239240239237235236237236235234233233233233231231229227 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999238238234236235235234232232230228226228231232232232234233232999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999226227227228228227228228228228227227227227227227229228230230230228227226227228230231232232233233232232232232231231231229230228228230227226225223225226227227228228228228230231232233235235236236235234234234234234234233232230228227228230230231231231232233233233231230230229229229230231230230231233234235236237237238238238238237239238238238239239239239238999999999999999999999999999999999999999999999999999999999207212214216216223221211213213213208200204204203202201199199201200201202202203200200197198197197198196196199192197196195194190188185184185184184186186187186186189191188188188188186186186188186187186187185187187187188191191189187187191196193194197202203203203202201203194198203203201205206207209210211211213212214213212211213213213212211209208207205202201201201199200199200199195195196195196197195193196190191189190190191195197195201201202205201205204201200206205205204201206199201202198197195194199194192193193197199200204205208212210208210214210212213214214213211209207205203198202203195196200200197196197196198198198198199199202201202202200200195197198198197197198201193190202196196195196196196193197194195194198199199202201203201201199204206211212212212211212213219220218218221223224222225229229228230231228225223229223223223223223224223225224225226223222221220220222221223223218219219219219220214214212211211211212213212213216216217218216216216217217215217218219220221222223225225225228229233233235233233232231230228226225225223224224222222223225224225226227228228228231232231233237239240239237236235237236235233234234233233231230230228226 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999241240239240239238235233231229228228228227230233231232234234236999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999229228227228227228228228228228229228228229228227227227227228229229230230229229228227227228229231231232233232231232232232231230230231229228228230230227226226224226227228229230229229230231232234235236235235235234235234234235235234232230228228229230231232232233234233233233232232232231231232232231231232232233233235237238238238238238238238239239239240240242240999999999999999999999999999999999999999999999999999999999999999999207210218217226218222216209210211208205204204203202201202201203203202203203197198198198199200199196197198196198197196193192192190189187186190189189190188190190191190190190190189188189190191192192193193192192197190194194191190189192195193191194199201200203202203202202203204203203201207207209210211213212210213212213211212214210212210208207207205204208201202204199199201199201195199199200198194196193193194194195198197198201203205204204203201204202204206208205206206205207206207205204200196191192201195193196199200203205207209206207208210211208210213214214213211209207205202202199202199200200200200199199202202201200199199197192192196193201199200199198199194195195198196191191195196195196197197198199197197198199200200200200200201204202208209209211214216218213215218218220223224224225225229228230230230230229226225225224224224224225225225227227227227227223220223221222224223224222221220220221220214215215216213215214215215217221220220216216221219218217219218221224222224224224225226229230233234234235234235236235234233230231228227226225224224224225225226227227227227228231231232235238240240239237235235235234234232234233233233232231230228227 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999240241240239238239238235232231232232231225228227226230229233232999999999999999999999999999999999999999999999999999999999999999999999999999999221223999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999228231227229229229229228227229230229228228228229228228227227228229231231230231231231230229229228229229230232231231231231230229230229230229229229230231225223226227227228226228229230231231232233234235236237236236235234234234233234234234232230229229229230231231232232235235235234233232233233233233232232232232232234234236237238239239238239239239240240239241241241242241237999999999999999999999999999999999999999999999999999999999999210207217219227221223220216215212213209209205206202202201201203202203203203196198197199198199199199202200201201199194196194195194193194194193192192192192191192192192193193194194193193195196197197198198198197198199198196193190189189189190193194196199195197199200201200201202205204206207209210212212211212213212213212213213211208210212208208208208204206203202202198197201201203202201200200200198197197196196196197196201204206207207207206206205204203206208208205206205205207207208208209203198198197196199200200203202205204203204203204212210212206208211213215214212209206205204207199200203201203204202203206205203203198197197195193194192192200202201200199204196196193195192191193192196196198198199198198197198199200200200200200201202204206206209209210212216215216216216220221222226226227227229230231231231232228226226226223225225225226227227227229228229225222225224225225224227225224222222222222219217217218217216218217217217217218218218217217218220218220221222225224225226225226226231232232234235234232232235237236235235235234234231231228227226227227227227227226226226229230233234238240241240238237234234235233234235233232233232232231229229226 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999237239240239238237238233230231230232232231225225224228228227233999999999999999999999999999999999999999999999999999999235236236234238239238237234228227233236999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999227228229228228229229230229229228229228228228229229229229229229231231232234234234233234232231231231229231232234235235232233231230230230230230230230229227229227225225228229229230228231232232233234235236237237237235235233234233234234234233231229228229229230230231232233235236236234233234233233234234234233233233233234236236237238240241241241240240240240240240242243242241239236999999999999999999999999999999999999999999999999999999999209212214218219219224223222218215215216213210207209208201201203205204204201198198200201198198199203201199199199199191197195193191196195191191196192193192193193195195196197199197198199201202203203202202204202202200199199194191191190189191193194200204198197203202201203202205204206209209209211211212213212211211215215215212212213212212211213208205202202203207205201202201203203202203200201201201199199197198198201202200204206211210210211210207208207207208207208206201207208209210207206200202198197200201204206205201201202201200201202208208204206207209213214213211208206205205207200198203202206205206203205206204202201200199197195193192194196204202200196192203191197196197196196198199197200200201199199201200202200201202202202201206207208208210212211214216215215216217219223224222223225228228230232229230231228227226226225225226226227225225227228227227226222227225228228228229227223223223224224218219219220221218219219219219219219219220219220220222221225223223225226227227228229228230230233233235235233235235237239238239237237237237237237232230229229229229227227227227231232233237240242241240239237235234235235235235234234233231230230229229227 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999238239239239239238237238236235232232231232230224226226226231235233230999999999999999999999999999999999999999999999235235237236237238239239238238237236236239239999240244999999999999999999999999999999999999999999999999999999999999999999999999999999229230230230228227228228228230228226226227227228229229229229231232234235236237237237236236235233233232231232231234235236234232232231231231232231232231229230230229228227229229229228231232232233234234236236237237237237236234234231232233233230230229228228229229230233233234235236235235235233234235234235235234234234235236237236237239240242243242241241241240240241242243243243241238999999999999999999999999999999999999999999999999999999999210216215219219227228228228228226221221215208213212208207203204203205203202201200199198198201202199196194196195196194198196199202200200194194195197198199196196198199200201202203203205206206209210207205205204203204202202199194191189190191194196200204197202204203204204200204203206207209210211211211213214213213210213212212210209209209208208207207205205202203205205201200204202202200201200201201199205201201200203205206206208211212213213212211211209205208208206207210204202207210210203202200205202203206208207203202202202208203204211212208209206207210212212213210207206207201204204205202202206204204203204206208207207205202201197195196197197204203201202201197204199200194195194196198199199200200200200202201203202202204204205207208210210212211213212214214216217217219221222224224225226228231230227230230231229228227227227225225227227228226226228226228226226227226229229229224227224221225227222222221222221221221221222220221221221222221221223226227227226225226227227228230229229231232233236235236236237237238237239240241239239239239240239237235234233231230228228228229233235236239241242242241240238235235236235238235234235235233233233233231231 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999237238238238238238237240238237235235232231230230227226226232999999999999999999999999999999999999999999999234237236236237237237237238238238238239239239239240240239240241240238999234999999999999999999999999999999999999999999999999999999999999999999999230230229228228229228228228228228229228229229229231231232233235238239241241240239237238238237235234235234232231235235235234232232232232232231231231230231230229229229229230229229232230231234235236236236236236237236234233233233233233232232229229229228229232233234235236237237237236236235236236235236236236235236236237238238238239241242242241241241242242243243243243243243241241999999999999999999999999999999999999999999999999999999999999217221223220222228227225229229228227221217213214208208208205204202204202202201200200202202202200197194193192193193196198196200205204203207204201201198202197199199199200203207207207211211210210211209206205206205204203200197193190192193194196201200201202202200200201203204204206203208210212210210210209212214213213213214213208210210209209209208213208205205205204203202203203203207202205205204210207209208211211206207209210210211214212214215211210210209206209208209207204205202202201201201202207209208205204202203203208209203206201202197205208210212213212212209206207207206201202202202202202203204204208204208208207206203202201199199198204203203207204202204192194193194194195204200198204202202202203203204204204204204206209208210210210215213213212215217217219221224225226227229229229230231232230228229230231229228228225225225225226227227228228229229228229228229230227229229228225224225226223224224222222223223223223223223223224224224224225226226227227227226227228231230230229234233234236236235236235237237238239242241241240240242241243241239239237235233232233231232235234238241243244242242241238236236236236237234234234235235234234234231230 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999236235235236236236235233236236235233234232231232229227227230999229999999999999999999999999999999999235239239238237237237237238236235235236236238238239240240239239239240240237237229999999999999999999999999999999999999999999999999999999999999999999228229231228227227229229229229229230229229229229228228231233235238241241241241241239238238239238237237237236235232232235236236234233232232232230231232231231230231231232231231231231231233233234235237238237236236237236235235234234233233233232231230229230230233235236237237238239238238237237236237236236237238238237238239240239240239239239240239240241243243243244244244244243242241999999999999999999999999999999999999999999999999999999999214218224225226222222225225224228226230224226218214212210208208205204204203201200201202204204202202198195194193195205210210210211207207206205200204202202199197196198202209210212215213209207207209207209208208207205205204203200199195192194194196203203203202202206202203201202204205205207209210210211208210212213213214212215213214212211210210210209208212212208207208210209208211209209212216217214220219219220218216215217219216216214213213214213214214211210208206208209208209206207202207204203202207207206206203205205205203203205205208205205210209211211213211211209205204206206205202202202202202204206204205203204208208208206205208198205204204203204208205203202195195195195195197199204204204204204205205205207207207207208209209211211212213217214214217217223221223225226228229233230230232233234234232232230231232231229227226226226227228228229230231231232230231231231228227227228228227226227228225226224224224225225225225225225226226226227227227228228229229228229230231231231232233233233234237237238238236236238239240242242243243244244243244243244243241241239238237234236237238241242243243244243242241238237237236236235234235235234233233233234233 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999235234235235236236236236234234231235233235234233232231230227228227233232232229999999999999999241241242241238239239238239238238236234233233234235235236237238239239238239240239239238234235999999999999999999999999999999999999999999999999999999999999234230230231230229228228228230230229229228228228227227229234237239242242243242242241240239240239238239238238239237236234234236236236234233233232231229231231231232232233233233234234233234235236235237237237238238238237237235235234235235234233233231231232232233236237237238238239239239239237237237238236236237238238237238240240240240240240239239240239241242243243244244245245245243999999999999999999999999999999999999999999999999999999999213215217224227223221225224223224226224227224223222216219211206210210206205209202198202203203203203202199197202208207208202216205215204206209203211209210209206202201202208218216214215209207205207205208207210213209206204204204202200197194196197199204203202203206208204204205204203206205207207210209208210211211211211212212214214213212211210211210213205208211209212214217215214212212216215222220221221223218223220222225224224223217217217216213214212213213212210210211210207208205210210207205202205203201204207206207204204204203206203204209209211213210211211212213213208208205206205207203204206204205203204203202202204208207206205199207205204202203194195205204202203192194199201199203202205200205206202208207207206209209210210210212212214220212214217220219223224225227229231231232233237235234236234234235232231230232229229227227228228229230231231231231232233232233233232230228227226226226227228229227227226227227227227228228228228229230231231231229230232233233234237234233234234233234234235239239238238239240240240239241243244244244244245245245244244245245240239239238239239240241242244244244244245243242240238237236236234235233235234234234233232 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999234235235235237237236237237237237233234235234231232230226227230230229229233233999999999999999239239240240238235237239240239238236236235235233232233232233234236237238239239239238238237233236999999999999999999999999999999999999999999999999999999999999228229229232231230230230229229230228227227228227226228231234238241242242242242242241240238238238238237237237237239238237235236236236237236234233233233233233233234234235235236237236235237238237238238238238238238238238236236235234234234235233232232232233235236237237238239239240239240239238239239239239238238238238238239241241241241240239240239239239240241243243244243246246245999999999999999999999999999999999999999999999999999999999999212210220226225223224222223224223224225224224222222218215217216216216215204208205199202202203203204203202204213214216215212215216208220207215208219218224220217220215221214216209214210208207208208208208207209211209208206205204201199198198197198202206202203201207207206206205206204203206207206209206210209210210211211211211211211212213212212216212212212213214215217218221220220221221223221225223224225225227230226223227225227230230228224221219215218214215215213214213214212211211214213216214210204203203205206210207207205202205206207206210216216212209211210214209212209208200206203208207204207204208207207206202203202206206205205204210208206203202204204207207206206196195203197202202202209211207205204208206206206211212212213222215215217219222220220222225227230229231231232234234235236236237236236235235233233234233232230229229230229230231231233233234235234235235235234232230230228227228228228229229229228229230230230230230230232234235237236234235237235236240238238238239239237238238238239239240239240241241242241241241241243243243244245245245244244245244243241242240239240242243243243246246245245246243243242239237237236236236235235235235234234 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999239239238999999999999999237999999234233234235236237237237237238239241236236235236237230226224227227232233235235238999999999999999239241239239238237237238239239239238238237238238236232231230231232232234236237238237237236236234999999999999999999999999999999999999999999999999999999999999999999999227230232232230230229230228228228227226226226229233235238242243244243241240241239239238239238238237237238238239238237237236237237237236236235235235237236237238237236237239239239240240240240240240239239238240238236236235235235235234234234233234236237237237238239238239240240240240241241241241240239239239239240241241242241241240240239239240239240241243244244243245246245999999999999999999999999999999999999999999999999999999999999214216222226220221220223223225222222226225225224222222215221215210217217215207206204199202203203205205208211211210212219217219220219219218218219221222228224225224219220218214213209206206205206207207207207207209208208205204203202202201198197203207203202204205208209206207204205203207206206206206208207208209210212212213213209211211212212212213215215216217215220220222223222223224223226220228225228229230230232230233231229231232233234232229227224218218218216218215217218218219218219216222214213214205205204206205206207207208207210212212212216214211210208209210207211211210206201203203204205204204207207210206205205202201206204204210210209208207206206208210208206206207204202204206208206206207209205210211209210208215214213215215225218223220221221225225226231231230232234234235238237237238238237237236234233234234234233234231231231230231232233233233233234233234234232232232231231230230229230230230231231230231232232232232232233235238238238238240239242241244244244244244245244245245244242243242242242242242242244244244244243242243243244244244245245245244244243241242241242243244242244243246246246246247244244244243241239238238238237237236236236235 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999240241241240999999235239237236236234235235236237238238238238239241241243240240238236231224222220222231233236240999999999999999235238239239238237236236237238237232239240241240239238235232229229229228230232235235235234235235236999999999999999999999999999999999999999999999999999999999999999999999999999231232232231230229228228227226226226228232234237238242243243243241240241239239239238238238237237239239238239238237237237237237237237237237236238238238239239240241240239240240240240241240241241241241240239237236235235234234234234233234236236237237237238239239240240240240241241242242242242240240240240241241242241241240241239240240239239241242243244244244244244243999999999999999999999999999999999999999999999999999999999212213217224226225223219223227226223224227225224226225224223220214210211218217215208205204203203203207208208213213212212216220223225225226226224224223224225226227223221220217212213207205205205206206206206207207207208207206204203202202201200199207208206206206207207210210212210207206209207206204207207205208209208211211212213209210212213214217215217218220217221221222222223223225221225228225231228230232232235233234234234235234236236236235233231230224224220218215219218218216218224225215213215215211210205206205207209208210209210210211210213213212211206211213210212212211207206206203203204204205208207207210207206202205203203201205210212210210210210210210211210207211205204203203204205206207208205210209211212215218214218216219217222224221222223225225226230231232232234235236239239238238238239240241237237237234239235238234232231230230230232232234233234234234234234234233233232232231231231232232232232231231232233234234233234236238238238239240241242243245245246247248247248248248247247247246244245245245245244244245245245245245244244244244244244246247244243244243242241241242244245244246245245245246247246246245245244242240239240240241240239238237 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999242243242241240239237238234235235234233235235237238238238239240241242244244242241239234229226225221220225999999999999999230235236237239239238237236237238237237236235240241241241240240239235229227225224226229231233232233235236999999999999999999999999999999999999999999999999999999999999999999999999999999999229231231229229228228227226227228229233235235239241243244243243241239239239238239237237237238239238238238237238237238238237238237237237237238239240240241242242242241240241241241242242242242241242242240238236236236235235235234233236236237237236237237239239239239241241241241242242242242243242242241242242242241241241241240240240241241242243244243243246244242999999999999999999999999999999999999999999999999999999999213212215219225225224222222224225225225225228229228227222221219217215208209206208208209206204205202206212208211215216215220225227221229231232232231230227231230227226222220220216210205203203203205205204206206206205207207207205204203202203203205209210207203208207209209207211211211209210208208206205204205205207207209208210211210210211213216216220215217215217220221223222224225225221222227225227227229231233233235236237236236239238239239238237237236234232229223218221219217218224226231221221212216216213212204205206211209210208207210209207207212213216211212208214211211208207204205207208210210210206210205206205205204203206203202205205211212212214213213212211213214211208208204204204204206207208205206207210212216221218218218222224224220220221222226225226227230232234235236237238239241240242241242244244240239241236238237235234232230230230230231232233234235235236236235235235234234233233232233233233233232232232233235236237236238239240241242243244245246246247248250251251251252251250250248250249249248247246246246246246246245245245246246245244244244245246245245245243243241241241242244245245247245246247247247248246247246244242242242243244243242241240 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999244244244243242241240237236235235235234234235236237238238238239241242242243244242238237235228227227223217999999999999999999234236238238239239239240240241240239239237240240241241241241240240239235230225223224227230231231233236999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999231231230229228228228227228229233235237238241243244242242242240239239239238238237237238237237238239238237237238238238238237237238238239240240241242243242242242241241241243241243242243242242242242239237236236236235235236236237236236237236236238239239239241241241241241242243242243243243243243243243241241241240240241241240241243243244245246246245243242999999999999999999999999999999999999999999999999999999214215215216218220221224222221223225225225225226230229229222221219219218216213210206203210207206208210214214214216220222223227227228227234235237234235235234233229226224221212210207206205205204203204204206205206206205206205205203204203204205209206211209207210209210209209209211208209207211209208205205204205205207207207207208209211212211216211217220221219222224222221223223226225225224223226229229231234237240238238240241241242241239241238239239238236235234232228220220213225226222215219215226222215222208212205206209208209210211211210208211212212211215216213212209208208209208208208209209210211211211206206213206213213213212207203206205209211213213214214214214216215215212210209207202205207207206210207209212212212215218217218222229223223222223224228229229229232235236237238240241243243244245244244242244242242242241242239237234233233231232231231232234234235236237237237237237236235234234234234234234234233234234235235237239239241241242243245245246247248249251251250252251250252252250251252252251250249248248247248248248247245246246247247247247246246245246245244244243243242240240242242243244246245246247249249250249249248247247246245245244244244243244 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999247245245245244243242240238238238237237237237237238239239239239240241241241241241241239235231228229230226226233232234233236237238239239239240241243243243243243242241241240242241241241240240240238232226223223225228230231234235234229999999999999999999999999999999999999999999999999999999999999999999999999999999999999999230230230229229229229229228231234234237239242243242242242240239238238238238237237237237237239239238237237238238238238237238238238239240240241240242242243242242242243243242243242242243243242242241236236236235235236237238237237237237237238239240241240242241241242244243243243244244244243243242242242241241241241241241242242243243245247246245244243999999999999999999999999999999999999999999999999999999999215216217218224224222220220219221224225223227228229223227224222218216217217215214215213212210212214214215216217220222227228232230233233234236235238239237234234227228219212208207207207206206205204205204204206206206205204205205205206207209210211211211209208209209209210208208208210211210212210210208206207205205206207208206207209212212213217218215219220221224224224220225228226229226229226230231232233236238240242241243243244243243242240240240240238236234232231230228220216214225214213224223221218215213208211210207210208209214212214211211216213212215214214209210209210210210209209210210210210211211212212211215216215214213208211209211208206209212214215215216216216216216218215210216209209208209208209209211212216215215218221222223224224225223226225229230231231235238238240241241243245244247246245246247244247244242242242242239234234234234233233232232233235236237238238239239240239237235235235235236235235235236237238238238240241241242243245246246247247249251252252252252252252253252252252252251252252253252252251250249249248248247247247247248249248247246246245246246244244243241240241243244245246247247248250249251252251251250251250248247245245245246248 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999244244244245244243242242241240241240240240239238239239240240240240240240240240240241241239238235231230232232231234236238238239239240240239240242243243243243242244242242241241241242241240239240240238235227223222224226229231232234230999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999231230230229230229229230233235237240243242244244243242240239239237237238238238237237238238238237237237238238237237238238239240240241241241241242242242242243242243242241243242242242242241241237237235235235236239239239238237237237239240240241242242241243242243244244243243243243244243242242242242242243242242243243244244243244247247246243999999999999999999999999999999999999999999999999999999999215216218219221223225223223220221221222221224227228229228227226225223222221219217218219219217217218218217219224226226227228236236237236236236237236237238236236233231218212208207207207207205205206204204204204207206207206203203206209210209209209208212211210212209209211212209211213211211212213210209206209207206205206207210210208213216216217218218215219218215223223223225226227227222225226228232235232238235238237241245244244244243243243239240242240238237236236234231230224221224229211220220218224217217211209208210209210209212212210212211209212212212214213210210209211210211210210211211212211210210210213216216216214216213213212212210212211217209212213215216218217218219219220220219213211211210208209207210211214215213216216222224224224226226228233228230231234236237239240241241243245246247248248248247249247248246245244244243235239238236236237237235233234235235236238240241241240239238236236236235236236235236237239240241241241242243243244245245247247249251253254254254254254254254253253253253253254254255255255252253253252252251250250249249251250249248247246246247247246245244243243243244244245246247250250251251253253253251251251251250249248247247249250 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999242243243243243243243243242242242242242241241242242242242241240240239238238238240240239237236233231231233233236237239239238238239240241242243243243243243242243243241241241241241241240239239239237234230224221223225227230232241999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999232231230231231230229230233235237240243244243243242242239238239238238238239240239238238237238237237238238238237238238239240240240241241242242242244244243243243242242241240240242242241242241240237236236236237238239239239237237239239240240241242243241242243243243244243243244244244243243242242243242243243243243245246245245245246246246245999999999999999999999999999999999999999999999999999999999216217221222222222223223223223224222224222226228229231228228228229227225224225222222222222221221221221221222226225228227234234238239238238237239239239239235234225215210207207207207206206206206206205205206205207207206206207207209212213212214213213213214214213210211214215216216214212217217215214212210210207208208207208210213214214218217218219218218216215218215222222223225226225219220224226233232234238240237237239247246245244243246245242245245243240240240238238233231225220217219217211215219223221218216217209213212209210209212212211208210209211213212209210211211212212210210212213213213214214212213215216215214215217212215214215215213212210210211213215216218219219219220221221221217213214213212213213210214213214216213216221223224225226226228231231232232235238240241242244245247248249249250250251250251250248248247246245246244244241239238239238235233235235235236238239241241241240239238237236237237236236237238240241243243242243244245245246247247248250252253253254255254255257257255255255255257256256256255255254254254254255254253253252251250250249249248247248248248248246245243243243245246245248250250250252253254255255254253253253252251250250250251251 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999240240242242242243243243243243243244244244244244244244243241239239238236235236237238235234233232229230232235236238240239238238239239240241242241241242243242243242242241242241241241240239240239238234228222221222224226228999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999231231231231230230231231235237241243244243243242242241239238238239238239239238239237237237237238238237237238238239239241241241242242243243243243242244243245243242242241241241241241242241241240238236235237238239240240238239239240239239241243243242242243243243244243243243244244243242242243242243243242243243245246248247248248247248999999999999999999999999999999999999999999999999999999999999217219222223224223223222223223224223224223225228229230228229231229228229228223224221222224225224223223221224224227232233237237237238239240240239239238236235225215210207207207205206205204205205205205206204205206206208208211211213214215216216215216217217214215216217216216216216215217216215218215215206212212211209210209209215216216216216218220218218218217218218215220219222224225225219225225223230230237239241243241243242245246246246246246245246245244241242241239236237231227221228227209215214221217219219216228223220215213210212218211207210207218217212211211222212212208210210213214216215218218219217218220220217215214213213213218217216219214213213214217217218218214220221222223223221219215213215215217215217212226219221222222224225226228229229229238233235238239240242243245247249250251251252253252252253252251250250250250247247245246243241241239237236236234236236238239241243242241240238237238240240240237238239240243243244244245246247247248248249251253253254255255255255256255256257257257257257257257257256255256255255256255255255254253253253253251251251250250249248248247247244243244245247247249251251251253255257256255255255254255254254253253252251252 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999240242242241242241242242243244246246245246245244244243241240239238237234235235235232230229228226227229233235237238238237237238239239240241241241240240241240242242242242241241241240240240239239235227222220220221226229999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999231233231230230230232232235238240242245245245244244242239239239239239240239238239238237238238238237237237239238239240241241241242242243244244244244244244244244242242241240241239239243242241240239237235236238237239239240238239239239239241242242242243243242243243243243243244244243242242242242244243244244245246249251250249249248247999999999999999999999999999999999999999999999999222222219999217219223223224223224223222223223224225225226228229230227226228232231226226225226224223224224226224224222223221226232232233232234239241241238238241238234224220213209206206207206205205204205205207204204204207209208208211211214214215216218220219218218218216216216217216218218220220220218217218217218209214213212211210208208214217214214213215220219222220223220222219217217221226221224224226225226228229237233239237236237244245246248246246246246246246245243243243241238236235230221222223215230221221218221220222225224224221212211210219210209209216212217221211215211207214214211212214215215214219219223220227220218215219218216214218218218216216216216217217217217218215215219219223223224223222219217214215212215222216222220222222222224225226228230229231234235237239240242244245246249250252252252252255255255256255253253252251254251250249248246243240240238237237236236237238240241243243243241240239240242242243243241242243244244245246247248249248249250250252253255255255255255256258258258259260259259259259258257258257257257256256256256256256255255254254253253253252250249249248248248246245245245246247250251251252254257256257256256255256256256255254254253253252 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999244239238238239239241242244245245245245245245244243242241240239238237235232233231228227225225226228230233236237238238238238239240240240241241240240239242243242242241241240241240239239239240237229223221221221226229999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999232232231230232232234234237242243243244245245244243240239239240239240239239239239239238238238238238238238239239240240240240241242243244245244245244246246245243243240239239240241242242241241240239237237237238238238239238238239239239240241243244244243243243243242243243243244244242243243242244243999246245246247249250248248248247999999999999999999999999999999999999999999999228224225222220216219224224224224224225224222222223223225226226225226224226230228226230226228225224224225222224224224219219229227231232229234238240244242241241240237227219218212207205206208208207208208209210211210210208211210211212213215212214214219220221220218218218218219218219219220220221220223223221222220215217216216213213213213213212216215213214217218217219221222223221220218223218221222226223222225225221228232233233234236240244243245246246246247248248248246246244245243239238238230224220224219224220222225220221225219224223222222208209204209212212217219221221223220216216216212214218222222219218217216216224220221218217221219214218219218217218218219219220220219221221219219219221223224223224224223221219216216217218216221221222223223223225227228229235234234236238240242244246247251252252253253255253256256256256255254254254253254253253251249248245243241239238237236236238239240242244246243242241240240242244243245244244244244244246247248248250250250251253254254256256256256257258260260261261261260259259259258258259259259258257257257257257256256256255254254254253251250250249249249248246245246246247249250251252253256256258258258258258258258258257257256255255254 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999238236235238239240242999244245245245244244243242242241240239239237234230230227226225224225226227230234236238237238239240240240240241241241241240243243243242241241241241240239239239240238232225223221221225999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999231232232231231232233236238241242244244245245244243241240240239238238239239239238238237237237237238238238237238240239240240240241242243245245246246246245245243244241240240241241242242241241239239239238237238237238238238238239239239240242244245246245244243243242242245244244242243242243243244999999245244246247247249248248249999999999999999999999999999999999999999999999224228229227225220217220224224223223224225224225224222221223225223222224223226225223227225228224224222222222221220227226221224224228229232229233239245245243242240239236225220218211206206208209209209210210211211212211212211211212214216217215214220215213216217219220220220221221222221221222223225225225223221220223222224218216215214217213213212215217218219218219220220222223222223221220221220220223222225222226220225229230231232234241241243244245245244246246247248249247247246245243241238238235229222216217216232228225227221220224225224223217209206210208218219222220219218227215217218219219220216225219225221219219219219219219233230224224222222221222221223222223223223223224223223223223222221223224225227227227227226225222220220221223223225224225225228229231233234237238240241243245246249253254254254255257255256257257256256256256256255256255254254253251249246244242241239239238238239239240244246245246244242242242242243244244245246245246247247250248249251251252253254255256256257257258259260261262261261261260260260260259259259259258258257257257257256256256257256256255256254253251251250250250249248247248249250251252251252256256258259259259259260260260259259258257257256255 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999245243244245244243242242241241240241238235232231229228226224224226227228231234236236238239239240240240241241241241240244244243243243243242241240240239239239238236230225221221223230232238999236999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999230230232232232235238240241243245246243244244243241240239238239239239238240239238236237236236237237238237238239239239239239239240242243244245245245245245244243243242241242242242242242240239240239238236236237238238238238239237239240242243244246246245243243244243244244244244241244243242244999999999245246246248248248248999999999999999999999999999999999999999999999999223228228226224220218220222221221222221222223222220221219220223224227226226225225225222222220222222221220222220223224224221223225231228229236238240245244243242240237233223220217211209205204208210209211212212212213213213213215216217218219218217218218217219218220221219220220220222221223224224225224228228230228227222225221218216216215213216212214215218219218218218221223223222221221220221221223223224225224225225227230233233239236240243244245247248244246247247247249249248247246243242241238233232222224224223225223224217223221218226223223223211204212212215217222221220221219217223225224222218225226222229231229230230230230229228232232229228227225226227225225226225225225225225224222224224225229225225230229230231230228226225225223225226227227227228231230232235236239241243242245246249253254258254255255257254256257256256256256256256256256255256255254253252250245244242240239239239239239241244246247246245243244244244244245245247247247248248249249250251252253254255255255256257257258259260261262261261261261261261260260260259259258258257257257257257257257257257257257257256255254253252252253250250249249250252251251252253256258258259260261260262261261261261260260259258257257 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999244244244244243243243242242241241238235235235233235230230229229229228228231233235236238238239238239239238240240241243244243244244241242241242240241241240240238234228222219225229233237999999999999999999249999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999229230232234236238241244245244243245243243242241239239240239239239239239238236236236236237237237237237237238238238238239239240241241242243245246246246246245245244244243243242242241242241239239237237237238238238238239239239239242242243246246245248248248246246245246244246244243243244246999999243245245246247245999999999999999999999999999999999999999999999999999999223227227225221219218219221220219220220222222222222223220220221223226227227226226225223222221222221220220221221220223223222225223229234235237239242244245243242241236229222221218214211203203205209209213213214215215216216217216217218219219218218219219221221219222222220221221223222223225227229232233233236237234232228232227227222222223219221220219216218219217218217219221222221220221221219218219223224223220225233232230238237241239240240244245245246244245247245247247248247246244242243241240236232224223213228231229227227231227232225221219216208211217213215216219224213214229227226227219220222223224225230234233233235235234232234230229230228228228230230231228229228228231227226226225224225225225226226232231232233233230230230227230227230229234230231233234236238239241243243247247248250254255254255255255255257257256255256256256256257257257256256256255254253251248246244242241241241241241242244247248248246246245246246246246246248249250251250250250251252254254254255255256256257258259260260262262262262262262261261261260259259258258257257257257257258258257257258258258258257257256255254253253252251250251252253252253254256258258259260262263263263262262262262262262261261260259 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999245243246245244245244243242242242241239239238238236999999234235233231230230232234236236237237236237238238239240240241243244244244243243243243243242242241241240236232226220225229233234236243999238241243244249238228999235237999999999999999999999999999999999999999999999999999999999999999999999999999228231235236238242245244245246245244242241239239239240239239238238239238237235235236236237237236237237238238237238238239240239240241242243245246246247246246246243244243243242241242241240239237237238238238238238239239239241242243245247249249246250248247248249249247245245247247247245999242242244244245999999999999999999999999999999999999999999999999999999999999999223226224220218220219220219218220222223223224226225221221221222223226226226227225224221220220222220220221220221223223220222228236238239239240242244244243243240238233228221218223220205203207210211213216216216217218218218218218217216218219220219219222221220222221221223223225228230232231237239240241243236240235237228231232227224221226224220222219218219218218218221220221219221220220220220217219222228228225226229231241242242240234235243244245248245246246248247247247246245244243242240241238235227224230217228229226229231233228230225218215210214216222219220221220217218225225221221222223226227232233233236237236236235236236237235235234231230231231231233232229228228231230228230228226227228230230229229229233233235234235232234232231232232233237236237237238241242245246247246254250253256257255257255256255257256255255254254254256257257257256256256256254253252250247245243242242242240241243245248249249248247247248248248249249249249251250250251251253254254255255255256257257258258259261261263262261263262262261261261259259259258257256256256257257258258258258259259258259259258257256254253253252252253253254255254256259259261261262263264264263263263263263263264263262262262261 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999244241242246245246245243243243244243243242241999999999999999237236237236235236238238236235235236237237237237239239239240241243243244244244244244244243243243242241238233228230232233233235238238240243244243243239234240238237999999999999999999999999999999999999999999999999999999999999999999999999999999229233235238242245244244245245245243243241239240240240240239239239238236236235236236237237237237237237236237237238238239239239241241243245245245246247246246244242242243243242241241241241241240239238239238238238238239241243244245249246247249246247250251252251252251250249248248248244243242243240999999999999999999999999999999999999999999999999999999999999999999225221223218218218220222221220220223226225224227225222221220220221223225226226224222221221220222223223221224226226226226226228238236240241241241245244241240242237235225224219225217210205210211214214215216216217217217217217217216217218219220221221223222220221221224228231234237226234231241243244237238239236237233233232232232231232229235227229223222222222221222219219218219219221220218219222223226226225228228224231231237235238238237244244243244244245245246249251247245244244244243243243244240229222226219219226225224224227228216220212215220217220221221222223221224220223221222224226228232235236236238239239239239238238241240242237235234234234236236237234232232233235235234234235233233234235237236236235235236235237237236236234235235236236237239241240241241243246247249249250252254256256256258257256256257256255254253254254255256257257256255256256255255253250249247245244243242241241243246248249249249248248249249249250249250250252250251252253254255255256256256257258258258259260261264263262262262262262261261260259259259258258258257257258258258258258258259260261260260259258257256255254254254254255255257258260261262262263264263263264263263263263263263263263263263262262 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999246243244244245245244243243243244244243999999999999999999999999999241240240241242242239238237237236237237236237238238238238239241243242244244244244244244244244244243241237235236237235234235237238242243244243241240239241240999999999999999999999999999999999999999999999999999999999999999999999999999999999230234237242244246244246245244244243242241240240240240239238239239238236236237237237238237238238237237236237237237238238240240241244244246245245244246246245245244243243243241241241241241240240240239238238239239239242244246249246246245246247250251252253251253251251250250248249247248248246240999999999999999999999999999999999999999999999999999999999999999999222220220219219219219221222221220222226223224225223221221220219221221223224225224223221222221221222224225226229230229229229230238237241240242239243245247243241240241233225227220222211211213212214214215216216216217216217216218218217218218219221221221221221221228227233237240242243244238246247248241238235240241241233233235234237231232240233232228224225221219219220217217215216217220218221221222222224224223223225230234236237242240245245245243244244244245244245248246247246246247245245243245241233226229228227224223220218226222216223213218215219222222219224220218225225234228225227230232234235236238239240240240240241241241244240240242240240239240241242241236236236236239239239240240238240238239239240241241240238238237237242236237237237238239240242243244242244248250251253253255254257257257256257256257257255254254254254255255256256256257256256256256255254252252249247245244243242242244247248249251250249248249249248249250250250251251252252253255256256256257258258258258259260262263264263263262263263263262261260260260260259258258259259258258258259258260260260261260260259258257256255254254254255256257258261261262263264264264264265265264264265265264264264264264264263263 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999244244244245244244244245244244243245244243999999999999999999999999999999999241242243244241240238237236236235233233234237237237238239241243244244244245245245245245245245244243241239239238237238239241242243242241241241242241243244239238999999999999999999999999999999999999999999999999999999999999999999999999230233238242245245245245246245243243241241241241240239238237240239238237237237237238238237237238237237237237238237238239240240240243244244244245246246246245245244244243243243242241240241242240240240238238238239240242242245246245245249249249250250252253253252253252251252251251251251251247999999999999999999999999999999999999999999999999999999999999999999999999220220219219219219220221218219220222222225226225223222221219219220222224224224224223222223223224224226229228232232236237239241241242241242243244244241241239240237232233224222226214211215214213214216217217216217215216217218217217219218219222223222221226229231232235233244237248249247247249243241241240239238237235235243233234233239241239234231231227225225226221221218215216217218217217218220221220224220224228231233236238241239245247245246247246244244243245246247245242241247248240247245240236227228228228224225223219228214228217222216224218219218221223222222226234234225231233234234236237239241242242242242242242243243243243242241241241244242245245242245244239240240242242243243241242242241242243242243243243242242241241237238240239240244243246246247245251252251253255255254258255257257257257256257257256255255255255256256256257257256256256256256255255253252251248247245244242243245246248249250252250249250249249250251251251252252253254255255256258258258259259259260261262263264265264264263263263263263262261261260260260259259259259259259258259259259260260260261261259258257256254255255255256257257259261262263264265266265264265265265265265266266266266265265265265264 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999244242241243243243243244244245244246999999999999999999999999999999999999999999999999999999999999999999235233231227231234236237237238241243243244245245246246246246246246245245245243241240240240241241241240240241242241242242242999245999999999999999999999999999999999999999999999999999999999999999999999999999999231237241243245245245246246244242241240240240239239239238238238237238238237237237237237237236236237236237237237237239239240241243244245246246247247246245244243242243244243243242240241243241241239239239239240240240244247247249249250250249999999251251251252252250252250251250252251249999999999999999999999999999999999999999999999999999999999999999999999999999219220219219218218219219219219220223225225227226224222222222222223224225224223224224224225224226226228232230227231232241242242242243243245243243244243246243244244240237231226223221215214213211212215217217217217215217217217217218218221221222222222226230233236239231234234238240250251248243243243242240246249249248247245242242246243238245240236233232228227226226225222218218217217217220220219220221221223226231231235235236236237245249246245245244243241245242247245244241243245247245248247243237231230227235226225224226229222215215217212216218219222221224221222231237232228230236237238240241240242243243243244244244243247248247246246246246246247247247247246246246246247247245245246246245246245246246246245246244243244243242240241241243243245247248249250249252253253255257255256256258258258258258258257256256255256257257257257257257257257257256256257256255254253253250248247245244244245247249251252252251250252251251252252252253253254254255256257258259259259259259260261261263264265266265265264263264264263263262261261261260260259260259260260260260260261260261260261261260258257255255255255255256258259261263264265265266266265265265266266266266266267267267266267266266265 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999243241241241242243243243244999999999999999999999999999999999999999999999999999999999999999999999999999999999226228232235236237238241242241243244245246246246246246246246246246246244241241238237237237239241241241242242242242243243244236999999999999999999999999999999999999999999999999999999999999999999999999999237242242244245247246246244241242242241240240241241239238238238238238238237238237236237236237237236237236237238239240240240241243244245246246246246246245244244243242242244242241241242242242238239238240241241243246245247249248999999999999999250252251251252251251250250250250999999999999999999999999999999999999999999999999999999999999999999999999999999999220221220219218218219219220220222223224223226226226224223223224225225227226226228227227228227228228229228227233237238242243241243243243245245246247246243243244244242240237235232227222215213209210213215217217216216215217217217217218220220222223228230228237238235235236238238242243242241243244245247248248250248250250251246245249246245243239237237234230229228228226223218218219217220220221220220222223225232241237239243238242247246250245244243243243245244246246241244244247243243241247248246240233229230228229227232226236213220218219219219218220221222221224222230232233235237238239240241242244243245245245248248248248248248249249248248249248248249249249248249247247248249247248248247249249250250250249248247245246246247244243242244244245247248252253249250256256256257257257257258259259259258258258257256257256257256257257257257257257257257257257257256256256254253251250249246246244247249249251252253252252252253253253253254254254254255256257257258259258258259259260261263263264265265265265265264264264263263262262262261261260260260260260260261260261261261261261261260260258257256255255255256257259261263265266267266266266266266266267267267267267268268268268267267266265 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999243245244243243243243244245999999999999999999999999999999999999999999999999999999999999999999999999999999999224228232234236237239241243242244245246246246247247247248247247247247247246244241239239239240240240241242240241241242243244237999999999999999999999999999999999999999999999999999999999999999999999999999236241244246247247247247246243242241242241241241242242241239239239238237237237237237236237236236235235237237237238240240241241244243246246247247247246246244243243243243244243242242241242243242240239241242242242243246248246999999999999251250250250253251251251250249247244999999999999999999999999999999999999999999999999999999999999999999999999999999999220221223221221220221220221221222223226225225227226225225226227228228229230230230232232232234231231230230227231234239241243243241243243247244245244243242244244244242242241240238235234232223214213210211216217216217218217216217220217220218220222225229233239238238245236238250241250249250244243245248250249249251251252253252242244245248247249245239239233230230230230228225223224219219219221221221225226227228234239239240243248245247244246244245245244244245245245245246245245246240240243242249242242237230233228229228219219218216218220221222225223224226226231231231231234233235238239240241242244245250249248249249248248248249249250250250250250250251251250251250250250249249250250251250251252252252252252252250251250248248248247247247248248249250251252255254255257256258258259258258259259259259259259258258257257257256257258258258258257257257258259258258257260257256255253250249247249247247250250252252253253253253253254254255255255255256256257257258258258259258260260262263263263264265265266266265264264264264263263263262262261262261261262261261261261262262261261261260260259258257257256256256256258260262264266266266266266266267266267267267267268268269269268268267267266266 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999248243243244244245999999999999999999999999999999999999999999999999999999999999999999999999999999999232226227230233236237240243243244245245246246246247247248248248248247246246246245244242240239239240240239239238239240241241242999999999999999999999999999999999999999999999999999999999999999999999999999999999239243247248247247247245243243243243244244243242242242241240241240239238238237237237237236235237237237235237238238238241242243246247247247247248248246245242242243243244244243242241243243241241240240241242241242247248250999999249250251251250251253252253252251251999999999999999999999999999999999999999999999999999999999999999999999999999999999999999221222223225223221221221224226226228229231231230229231232232233234235235235237237237237240237238235234237237238240238240242245243245247247246246246246246243246246245245241240242237235235233231219215213214215218217218218218218220218220221220224225229239240238234247247248243250250249242243243241249250251251250251252249252248250249250250249248240239239234232236231230228225224227228222220221220225227229233235236247244245245245248248247246247245244243240245244246247247247247245248248245244245241239235230224232225232225221220220222225225227225228234233232232228230229230236237240240243248249249249249250250250250249250250250250251251251250251251251251251250251251251251252252253254254254255254255255253253254252252251250251251251251252251252254255257256258258258259259258258259259259260260259259258257257258257256256257258258259258257257257259258259258257256257256255253251250248247251251253252252253253253253254255256256255256256256257257258258258258259259260262263263264264265266267267266265265263264264264263262262262261262262262262261262262261262262261261260260260259258257256256256257257259261264266267267267267267267267267267267268268268269269269269268268268267266 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999231229230231233236238241242243244244244245245245246247248248248248248247246246244243243242240240240239238237237237238240240240239999999999999999999999999999999999999999999999999999999999999999999999999999999240243247248247247247246245244244245246246244244243243241241241241239239239237237237237236235235236237237238238239241241243245247248248248248249249245244243244241241244243243242242242241242241241241241243243243249251251248999999999251252251252253253253999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999219220223223225223223223225230234236235237237236237237237237238240240240240242242242242242242241237244243243243244244245247247247248250249246248243247249249249248248245243243242242239236233232234227219216213216218218219217217218219220221221224225232241243246246247249250249249251242242241245243251249251250251252253251250252249250250250251247248245244241238234234230227229233229226225219223224226230232237236245244247246247248248249246247245243238237242243245247242248248246244244249245244245245241234235226224233228224223226225224227227228227235234234227228227230233233239243242248249250251250250249251250251252250250250251251251251251251251251251251251251252252252253253254254256256256256256257258256255256255255254253254253254254255255256257256259259259259258259259258258258258260260261260260258258258257256256256256257258258258258258258259259259259259258258257256255253251249248250251250251251252254254254254254256256257256256257257258258258259259259260261261264264264265265267267267267265265264263264264262263262262262262262262262263262262262262262261261261260260259258258257257257258259260262265266267267267267267267267267267268268268269269269269269269269269268267 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999230233233234234236238241244243243243243243243245245246247247248248247248247247246243242242241239238237236235233235236999239999999238999999999999999999999999999999999999999999999999999999999999999999999999999241244245247247247248247246245246246246246245243242242241241240240239238239238238238237236237236237236238237238239241242244246247247244247249249249245243244243242241243243244244243243243243243243244244246247249250251252248999999999250249250251999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999218219221221224228227225225227233236240241241242243243243243243241242242244247250249248248249248246243249249249249249249249248248250252252251253251248245243252254250248247245244243243240241236233231237234221214212216221219218219221221221222222225227235244237239247235248248252251252251250244250252252251251251251250253252248249250249248251250251251246247245242235232225226231234228227226221224226229230232238244246248249247250248248247248246243243244244243244243247247247247243247246244246246245245239238238231235228230226225228228227227228231231233232233231232233235237241245246247248249250250250251251256250250249250254251251252249252248252252251251251251251252253254254255255256256257258257258258258258257257257257255255255255255255256257258260259259259260260260259260258257259260261260260260260259259258257256256256256258258260260259259258259260260259259259259258257256254252250249250251251251251252253254255255255255256257256257257257258258258258259260260262262264264264265266266267267267266265263263263263261262263262262262262262262263262262262262261261261261260261260259258258258258258259261263265266267267267267267267267267268268269269269270269270270269269269269268 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999248248247245243999999234234235234235236236239243243242242242242242242243244245245247247248248249249248248246243241240238237236234232232999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999241243245247248247247246246247246246246245244242242242241240240240238239240240239238237238236236235236235237239240242242243246247247248248248247246246243243242243242243244244244245245244243242244245246249251251252252252249999999999247246250999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999221217220222223223222224225226230234238242242244246245245247246246246247250254253254253252253255254252250249248256256254255255255253254254254253254253251254250252252250249246246245244243242235237242235237239238227218215217220220220222222222222223227228238240242242248238247240253252251251251252253252251250252251250251253254252248249249249256255254252250249248245238233231232231229232230226226224227229235238242246246248249251250250249249248247244245245245247242243247248248245248249249246252246245242243238238233228232229228227226229229231229230230230234234235238235237240241246247247248249250251251248251252248250247251250251251251251252252252252251251251250252252253254255256256257258259260259259259259260259259260259259258258257258259259260260260260260261260260260259259258257258260260261261261261260259258256256256257257258259260260260259260261261260260260260259259258257255253252250250250251251252252253253255255255255255256257257257258257258258259259261262263264265265266266267267268268267266265264264263262262262262262262262263262263262262262262262261261261261261261260259259259260260260261263264266266267267267267267267267267268269269270270270270271271270270270269269 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999247247246248245244243241238237237236237236236237238241243243241242242242242242243244245245246247248248248248248249248246242241239237235233230230999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999243245248248248249249248247247246245244243243243242242240240241241240241241239238238237237237237238239239240241243243244248248247247247246246247247246244246244244244244245245245245245245245247247248249251252252251250999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999221221222222222219220222223225231236239242243245247247247248247247249252254255256257255255257254255254254255253253259258258259257255256256256253254253254255252253253251250248248248247246246240240241239239240243238229216219221222222223223222223224225230237241245245253249252249250251252251251250251251250253252250251253253253253250248248249250252249248249251249243240234234237234232235228227225224230230232245247244246250250251251251250249248244246246246246245243241244245245247249248249247246253248248243239236232232227228230226228230230228231230230231234236237236242240241246246246248249249251247251252248252251250249250250250251251251252252251251251250250250252253254255257258258259260261262262261261261261261261261260259260260260260260260261262261261262261260261260260260258258259259260261261261262261260258257257257258259260260260260260261261260260260260260260260259259258256254252251250249250251252253253253254254255255256257257258258258258258259260261262263264265266267267268268269269268268267266265264263262262262262262262262263263263262262262261261261261261262262261260260260260261261262263264266267267267267267268267267267268269269270270270270270271271270270270270269 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999247246247247246246245244242241239239239239239238237237237240242242241241242242243243243243243244246246247248248249250250250250248245243241239238234231234239999232999999999999999999999999999999999999999999999999999999999999999999999999999999999999999243244246247248248249250249249248248246246244244244243243241240240242242240241239239239238238239239240240242241242244243245248249250249247247247247246247245247245247246246246247248247247247247250250251252253253252249251999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999222222221222224223223223222221222227233238242244245246248247249248250255256256257258259257256258258257256254250252259260258258258256257249248256256253251255253252253252252253252252249249248248246244245243241242244243236226221220219221223224224224225227232238242246248251250254251254254253253251252252250252254252252252252252253249249248248249249248247246253252250245245245243234239238235229228230230232234244247247245249251251250251253250248247241247246246247246244243244243244244245246248246246248248248243239237233231234229229227229228230229230230230232234238241240241246247249248249249250250250251252252252252251250249251251252253253253253253251252252251251250251253255257258259260261261263263263262261261263263262262261260261261260261261261262262261261262261261261260259259258258258259260261261261262262259257257257257258258259259259260260261261261260261260260260260260260259257256253252251250250251252253253253254255255256256256257257258258258259260261262263265265266267268268269270270270269269268266265264263262262262261261262262263263262262262262261261261261262262261261261260261261261262263265266267267267267267267267267267267268269270271270271271271272271271271271270270 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999247251249247247247245244244244242242242241240240239239238237239241242242240241242243243243243243244245246246247248249249250250250250249248246245244242238234235238238247999999999999999999999999999999999999999999999999999999999999999999999999999999999999999243243244247248249249250250249249248248247246246246245247243241241242242242241240239239239239238239241241242243243245245247248250251250247250250249246246248248249250248248249249249249249249252253254253253253253252252999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999225224223223224225225225224224228227229239243244247249249250252253257258258259259260261259258259257254254262257258249256257257257257256249253259258256253254254253253253253255254255254253250252250248246243248243244242244235227229221222223224224225225227232236243245249251254254253255255255253251253254252251254253253252253249252249246247247249250248249251253252248248246249244241233240230230232232238237237244243248249251251252247253251250248247247246245246245246246246246244244245245246246247248248245245242240237237233229231226229228230231230232238231234239242240241246247248249250250251250251251252252253253252251251250252253254255254255255255254254254253253253253257257258259260261261262263263263262262263263263263262261261260260262262262261262262261262261261260260260259259258258258259260261260260260261259258258257258259258259259259260260261260261262262262261261261260260259258257255253252252251251252252253253254255255255256256257257258258259260261262263265266267268268269270270271271270270269268266265265263262262261261261261261262262262261261261260261261261261261261261261261262263263264265266267268267268267267268267267268268269269270270270271271271271272272272271271270 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999251251249247246246245243244244243243242242241239239238238239241242242242242241242242242242243243244246246246247248249250250250250250250249249248248246242239238238240247999999999999999999999999999999999999999999999999999999999999999999999999999999999999999243242244247247247249250251249248248249249248247247248249247245243242242241242242241241239240239240241241241244242247248251250252253252251250251251251249249250249248249249250251252251251252253254254254253253252252999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999226228225223224226226228228227227229232233235244248250251253254254259261261261262262263264261260257262262258252258258257250257257256257257260255258258256252254254253254256255255255256255254255254253251248247251249247245244245242229225224226225226226229230231234245241249251254254255256255255253252254253252255253253253252252251251249248247246251250248252250250251255252251248246246249246234240239248249249236242245248251252249247250251250249247247246247246245246245245245245247250251245245247248246248245245244242240240234230226230229228230229236238240241242245244244244244246249251252252252252252253253253252252252253254253254255256257257257256256256256255255254257255256258259260261262262263264263264263263262262263262262261261261262262262263263262262262262262262259260259258258258258259259260260261262261261259257257258259259259260260260260260261261262262263262262262261261261260260259257256254253252252252252253253254254255255256256257257258259260261262263265266267269269270270271271271271271270269268267265265263262262261261261261261261261261261261260261261261261262262263262262263263264266267267268268268268268268268268268268269269269270270271271272272272272273272272272272271 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999252252252250247246245244244243244244243242241241240239239238240241243243243243241242242242242242244245246248248248248248249250250250250250251250249249249248243240239239241244999999999999999999999999999999999999999999999999999999999999999999999999999999999999999242243244245247247248248249250248248248247247247249249250247247247245244244243243242241241242242242241242241241245245248249248251252253252253253251250251250250250249250251251252253254254253253254254255254254999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999225230225224225225224228229229231232233236240244249252254255257260261262263262264263263262258255259258262262258258261257257257256256250259261256254255253251253255255257257255257256257257257257257254252251250250253250251248249244239230227228227228229229233232239250247253255257255256256256256253252254254253253252251250249252251251250250249245249249249255253251251252251253253251249251244238244241238241246241245248252250252252252251250250248247246246246246246245244245243243243250250246246249248253253245245245243242240239232228229230229230230240236239243244246244250253253254256258253253253253253253253252251252254254255258257257258259258257257258258258257258257257258258259260261261262263264265265265264264262262262262262262262262262262262263264263263262261261260259257258259258259260259260259260262262261261260259259259259259259259260260261261262262261262262263263263263262262261261260259258256255254253253253253253254254255255255256257258258259260262263265266268269270270271271272271271271271270270269267266265264263262262261261262261261261261260260260260261261261262262263264264265265267268268268269269269268268268269268268269269269269270270270271272272272272272272272272271271 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999251251250248247246245244244243242241243242239240240240241243244245245244244244245245246244244244245247248249249248248249249249250250250250250250250250249249244238240240241244246999999999999999999999999999999999999999999999999999999999999999999999999999999999999243242244244245248247248249250248248247247249250250251250247249250248248247246245244243241240242243242244246246247999999251250251251251251254252251252250250250250250251251250252254254255255255255255255253999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999229230225224224225225231234235236241244247246252254254254257259261262263264263264264264262262260259263261261260259257257257250254255250258252251256256249250254255258257256257259259258259259258252257256253251252255255248250248249244237232231230228230229230235242242253251256258259257256257256252250254254254253252252251250252250251249250249248248248254250252251251250253253253254254244242245243245236242241245250250252253253253253251251251248245244246246245244244246246245247243250247247245247249252246245245246244244240238234234233233239238239239238240249252251249250253255254257258254254254254254254253252252253255256257259258259260262260260260259259259258258257259260260261261262263263264264265265266265264264263263263263263263262263263263264263263263262263262261259257259259259259259260261262261262262261260260259259259259259259260261261261261262262262262262263264264264263263262262261261259258257256255254254254254254254255255256257258259259260262264265266268270270271271272272272272272272271271271269268266265264263262261261261261261260260260260260261261261261262262263264264265266267268268269269269269269269269269269268268269268269269270271271272271271272273272272272273272271 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999251999999999999248249247246245245244243243243243243242241240240242244246248249249249247249250249250251250248247247248249250250249248249249250250250250250249249249248249248245240241241242243244999999999999999999999999999999999999999999999999999999999999999999999999999999999999242242243243245247248249250250249249247249250251251251250250251251252253253251251249247245244244243244246249248248249249252253253252252253253253252253251251251251250251251251253254255256257257257256257999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999233232229229230230234237237240245248250253252255255256258259259262262263264263264263263262261261259257256259259260257257259255255256255249250249256255256258254255256258256257258259258259260259258259259257253251256254251250251252250248239234229232229231233236241246255253257257258256256256255256253253254254253253252252251252251252251251251251253254254251255253256257250252254253254249244242245239239241244250251252253253253253252252249250248248243247247245244246248247247244247249245247242245248247246246247247245244242242238235235235238241242244247248251252253255255256257258258259255255255255255254254253253255257257257258259260261262262262260261261260259259259259260261261263263263264264265266267267267266265264265264264263264264264264265264265263262262263262262261260260259259260261261261261261260260261261261259260260260260260261261261262262262263262263263263264264265264264263263262261261260259257256256256255255255255256257257258260261261262264265266268270271271271272272272272272272272272272271270269267266265264262261261261261260260260260260261261261262262262263264265265266268268269269269270270270270269269269269269269269269269270270271271272272272273273273273273273273272 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999253248249250248245244245245244243242242243242244244242243245245245248248248248249250251252252252252253252250249248249250250250250249249249249249250249248247248247248248248245240242242243244241240999999999999999999999999999999999999999999999999999999999999999999999999999999999242243243244244246247249250250251249249250249251250250251251251252252251252251250250249246246245245246249249249250252252252253254253254255255255253254253252251249250250250251253255256256257258259257999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999233233235235236236241240243246249252258257252254258258259261263262263263264264263263261263261261260259258258259253257256258257248249250258258257250251255258255255256255257258257258255257257260259260259256255256258254254253251252248244241235231235236236242246246254256256255256258256256254254254253253252254253253251252252252252251253253248253253252254253253252256254255255254254250247244244245243249251253253254254254254251252248247249249250247247245240246246248246248248249247247249243246246249248246245245249247245247237236237238243244246246248250253253253255257258258259260258256255255255256256256255256256258258259260261261262264263262262263263262262262261261261262262263263264264265266267268268267267267266265264265265265265265264264265264265264264263262261261261261261261261261262262261261260261261261260261261261261261261262262262263263262263263263263264265265265265265265264263263262261260259258257257257256257257258258259260261261263263265266268270271271271272272272272273272272272271271271271269268267265264263261261261260260260260260261262262262263263263264265266266267269269269270270271270270270270270269269269269269269269270271272272272272273273274274273273273273273 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999249250251249246244243244244242244244243243244245244245246247247247247247248249249249251252252252253253253252251250251251251251250249249249249249249248247246246246245245245243240240241242242241999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999245244245248249250249251250250251250250250251250251251252253253252252252252251249248247246246248250251251251252252253253256256257256256255255256253253252251250251249250251255256257257258258258999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999231232234234237241241241245249254254256254254258259260261259260262263263263262260261261261260260257257255258256257256258258254250257257258258258258251251259259255255256257257258257257259261261260261260262257257258257254254252248247250242240240237238239244249251255255257258258258254257256254254254254253253253252252251250251253252253254248252252251251253255254250255254252254254252248248251248253252254255254254254255253252250254252252251248251245246248247248248249250250244247247247247245247248247245244248243246245243241242245246247248248249250253254252255257258258259258258258257257257256257257257257257258259260260261262262269264264264264264264263263263262262262262263263263264264265266267268268268268268268268265267266266266265265264265266265264264264262262262261261262262262262262262262261261261261262262261262262262263263263263265265264264264264264264265265266266266266266265264264263262261261260259259258258258258259260260261262262263264266268270271271272272272273273273273274272272272271271270270269267265264263262261261261260259260261262263263263263264264264265267267268269269270270270270270270270270270269269269269269269270270271272272273273273273274273273274273273273 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999250249249248247245244244244243244244244244244245245246246246246246246247248249250249250252252253254254255254253251251251251251251250250250249249249248247246245243245244243242240240240240238239245248239999999999999999999999999999999999999999999999999999999999999999999999999999999999243245245244248249248248249250249250250250251251252253252251252252253253254252251250248248247248251252253254255254253253254257258258258256257256255255255248253251251252252252253256257258258258258999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999235236238241244245244246250253256256258258258257258261260260262262263262256260261257261258258256253258258256258257259256252256257257259260259258258258258260259257257257257257257258258260261261261261265264262260258257252254254249247244242241241243242241248254255255257259259259258258257253253255253254253253253252252252252253253253253253251251253250254254255253255256254249253251250253254253254255256255254255254253253255255254252252245250251250249244242242245249247246248247247249247245246250249250244250248246246244247246246247248249253253252253255253256257257257257257257258258257257257258258258259258258259261262262263264265266265266266265265264263263262262262263263263263264265266267268270269270269269269269267267268267265265265264267266266264264264264264263264263263263263263263262262262261262263262263264263264265265265265265264265265265265265265265265265266266266266266266265265264263262262261261260259259259260260260261262262263264265267269270271271271272273273273273273273272272272271270271270269268266265264263262261261261260261262263264264264264264265265265266267267268269269269269270270270270270271269269269269269269270271272272272273274273274274274274274274274273 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999249249249248245244243244244244244244244245245245244245246246246246246247247248248251251250252254254254255255254254253252251251251251250249249249249249247245244244244244244242241239240239239237239242241999999999999999999999999999999999999999999999999999999999999999999999999999999999999244243243245248249250250250251252251252251252253254254253251253252253253255255254253252251250253254253255254254255255255256256258259258257255256253257256252250251252253999999253254257258259258257257999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999234237241243245247251251253255257258259261258260262259262260261261262262259261261261259258259259258258256253257256256259257256257258258259256259260259259254256257253257256260257257257259260261262261260263263262260257258256252247244247251245241246248248254251254257260259260259259258257255253253254255253253255252252249249251250251252253250252253253252255255254255256255250253252252252253252251257253247255256254253253253255253252248247244252249247249249247250249250247248247247251250249250247248251251250249248247247248248246251251251253252255254256255256257257258258258258258258258258258259259259259260260260262263264265266266267267267267266266265265264263263263264264264264265266267268269270269269269270270270268267267267268265264266266265265265264264265264264264263263264263263263262262262262262263264265265265266266266266266267267266265266266265266266265266266266266266266266266266265264264263262262261260260260260261261261262263264265267269270271272272273273274274274274274273272272272272271271271269269267266265263263263262261261261262263265265265266265265265265266267268268268269269269270270270270270270269269269269269270270271272272273274274274274275275274274274273274 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999249251251248247246244244244244245245245246246247247247246247245245246247247246247249252252252253253254254255254254253253252251251251251250249248248249249247245243243243244244242240238237239238238239999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999242243243247249250249250251252252253252252252253255254253252253252252255256257256256254254254256255254254252252255256257256252256257257257258258256256999999999999999999999999254255256257257258258999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999249248999999999999999243236237238243246248255256257257257258259263260260261261261259261261260261261259262261260261260259260256258257259255253257259260258259259259262262261261259257260256257252252252257257256258261260260259257260261261262261261260256254252251251254250249252251251256257256258261260260259257256253254252250253254253253253254250251251252251252252252252253254256255255256254254255254250254253253253252252250256256255254254253253253255255248247248250252250247248249249249246251249249248251250250251251250250250251250248250251250249249251251254255255254252255256256256255256254256256257257258258257257258258259259259259259259260262262264264265266266266265264265264263263262262262263264264264266267267268269270270270271271271270268267267267266265268268265265267266264266264265263265263264265264265264264263263263264264265265265266266267269267268268267267266266266266266266266265266266266266266266266266266265265264263262262261261261262262262262263264265267269270272272273273273273275275275274274274273273272271271271270270269268267266265264263263262261262263264265266266267267266266266267266267268268269269269269270270270269269268268269269270270271272272273273274274274274274274274273273273273 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999250250250250249251250247245245246245245246246245247247248249249247246245245245245244245248252253254253253253254254255255254253254254252252251251249248248249249249246244244244244244242240240239238238239241242247999999999999999999999999999999999999999999999999999999999999999999999999999999999999999242241244247249250249250251253253252253253255255255254255252253256256257256256256256255256255254254254252999999999255256255255253255255999999999999999999999999999999999999999254999256257256999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999247247246999999999999242241240241244249253254256261262263258259259263258260262261263263261260261260260258260261260260262259256260260260261261260260261259259256261261263261258261258260261261260258257257257257257258262263261257258261261263263262261264260256257257258253257257258258259256260257258260260260258255255255255252251253254255256254253252254252254252254253253254254257254251258255257258256254253255251251250257256257251256254254253253249249255247248253251251250251249249252251249246246249251252252251251251251250251252252251251251252251250250253250253253255255256256256255256255256255256255255257258257257257258258258259259258258259259261262263263264265265264263263263263262262261261261262263264264266267268268269270270271271271270270271269268269267266266266266266265266267266266265265264264265264264267264264264264264265265265266266266266268267268268268268268268267267267267266266266266266267267267267267267267266265264264263263262262262262263263264264265266268269271272272273274274274275274275274274273272272272271271270270270270269268267266265264264263262262263264265265266267267267267267267268268268269270269269269269269269268268268268269269270270271272272272273274274274274274275275274274274274 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999251252252251250251249249246245246246246247246245247248250251249247246245245243243244245249252252254254253253253253253253253255255254253253252252252250249248248247246244244243243244243242240240240241243245246999999999999999999999999999999999999999999999999999999999999999999999999999999999999999242244244247248249249249250252253254254254256256255255256255255255255257257257256258258257256254252999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999249245244999999999999247244242242246249253253258261263258265259261266262265265264263262263260262261260259257259260260260261261259262262260259261261262262263261262263262260257260261261259261260260260260260258258257257255256262263262260260263263261262262261258258258260260258258259258257255255259261260260259259256258256253252253253254256255254254253252255254254254254254255256255258258257255257258258254255255252255257258252256258255255255254253251252255246249254255254253253249254252252250252253253254253253253253252251250252253252252252252253255255253252251249253255256254254255256255255255255255255256256256257257257257257258258257258258258259260261261263263263263262261261261261261262261260261262263263264266267268269269270270271271270271272269269268267267267266266266265265265265265266265266266265267266266266264265265265266266266266266266266268269269269269269269269269268268267267267267267267267267267267267267267267266266265264264264263263263264264264264265266268269271271272273273274274275275275274273273273271271271271271271271270270269268268267266265264264263263263264264265265265266267267267268268268268268268268268269269269268268269269269269270270272272272273273274275275275275275276275274274274274 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999252253253253252251250249249248247246246246246246246247248250250248246245243243244244245246250252253253252252252252252251253253254254255253253253253252250249248247247245244243243242242242240238238240243247250999999999999999999999999999999999999999999999999999999999999999999999999999999999999999241243245247248249249249249249251252252253255256256256256256256255256257257256258260260258259258256253999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999244244999999999999999246245241244246252255258257257259262257260263263263266264263262262261261260259259260259257259258259256258261263264263258259260258261262262262257257259261262261259260261260260258258257259253252256259260261261261261261259262260260260257256260259262262261261262258258260257259260261262259257255256257257254255252255254254255253253253255256255253255254254255257258257257256255257257257255257257256257258258258259256255255254254253256253247251254253250255255249254254254254253255254255255255255254255253252252253254253254253254256254254253253249249255256256256255253255254255254254255256255256256256256257256257257257258257257257258259260261261262261260260259260260260260260260261262263264265266268268269270269271271270270270270269270268268267269266266267266265267266265266266266265266266267266267266266266266266266267267267267267268269270270270270270270270272270268268268267268267268268267267267267267267266265265265265264264264264264265265265266267270271272272273273275275275275274275274273272272271271271271271271271270270269269268268267266265265264263263264264265264265265265266267267267267267268268268268268269268269269269270270270271271272273273273274274275275275275275275275275274274274 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999252254255255255253253251250248247247247245246247246247248250250250248246243244243245244245248249252252253254254252254251253252253253254255255254253253252250249247246246243243243241240239239238238240242246248251999999999999999999999999999999999999999999999999999999999999999999999999999999999999242244248249249250251251250248249249250251252253255256257257257257256256258259260260261261260260259999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999255253252252999999243999999999999999246247246253255257259260263260263261265261262264264265263263265263263259261255260260259258259258260260260258262263259257260262261261261262261261262263259262262260260261259260258258258257259258260260260261261262262255256259258262256255259261262257259262263263263263262258257261262259259258258257257256255256256255255254254254253253256256256256255255255255258258255254255256257258257254255257256255259258256257255253255253252254256255253252251251254256257256255254253253255255255255256255253253253255254254254256256254254255255256255253254254252256256256254253255255254254254254255255255255255255255256256256256256257257256256257258259260260260260259259258258259259259259260261262263264266267269269269270270271270270270271270270270268268268268267266270270265266266267266267267267267267267267267266266266267267268269269269269269269270271271271271271270270272269269268268268268268268268267267267267267267266266265265265265265265265265266266267267269270271272273273274275275275274274273272272271271271271271271271271271270270270270269269269268267266266265265265265265266266266266266266267268267267268268268269268268269269270270270270271271272273273273274274275275275275275275275275275274274274 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999253254254255255254254253250250248247247245247247247248248250249250249249248244242244243244247250251251251253254254254254252251251254254254254254254253252251248247246244243241242240240238237237237241243245246248999999999999999999999999999999999999999999999999999999999999999999999999999999999999246249251252252250252253252250250250251251252251256257258255256257257258259260260260261261261260999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999255256257255999251999999999999999249250253257257258259262265264265260265264270265265265265267266263261259259260259260259259257257259259260259258257261262262260260262261259262262260261262262262262261262259262262260261258257251253261261260262262262263261261259261260260260261261261258257259260258260260259259258259260258260258258257256256256256256256256255256255254256255257257256256255260254252254251254255257256258258255255254253254257257255254254254254255255249255255254253248251256255250250255252253254253250251250254251254252249254255257254254253253253256252256256258258254256254256256253255255255254252254254255255255255255255256256256257256256257257257257257258259260260260260259259259259259259259260260261263263264267269269269270270271271270271270270270270270269270269268267268267266266267266267267268268268267267267267266266267267268268269270270270271270271271272271271271271270270270269270272268267268268268267267267267267267266266266265265265265265265266266266267267268269270272273273274274275275275274274273272272272271272271271271271271271271271270270269269269269269268268267266266266266266267267267267267267268268268270268268268269269269270270270270271271272273273274274274275275276276276276276275275275275275275 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999253254253254255255254254253253251251249249248247247247246245246248249249250250251250247244243246248249249248249251252254254252252250252254253253253253253254252251250247244242242241240241239237236236235239242239239239999999999999999999999999999999999999999999999999999999999999999249245244245244244248252254254254253251254254254252252253253253254254254257258257256257258258260260260261260260259999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999258999999999999999999999999999999999999999999999999999264261257999999255256257260262261256254999999253255256259260261264260260261263264265267270265266264264264267267264263258259258259259260260259259258259259262262260259259260259262262262261257261262260262263263263262263261263260259254258259258258254255258259262262261262260262262261259257260260261260262260259258258258258261263261260260262260259259257256256256256257258258256257256257257256258257257256255255252253249253258257258258257258259257258258256256253254258255258257256254253252250254255254253256254252253254254254254253252253251252251251253254253253256256254258257257257256257258258258257256256256255254254254254253253254253254255254255257257256256255255257255255256257257257258259260260260261260260259259259259259260261262263264266268269270270270270271270270269269269270269269269268268267268266266266265266266267268268268268268268269269268268268269269270270271271272271271270271271272272272272271270270269269268268268267268268267267267267267266266266266266266266266267267268268268268268269270271272273274274275275275274274273273272271271272271271271271271271271271271271271270270270270270270269269268268268267267267267268268269268269268269268269269269269269270270270270271272272273274274274274274275276276276276277276276276276276276275 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999252254254254255255254253253253253252251249249248248246246245247248249250249252252249250248245246248247247247246249251253254253254251250251250251251252253253253252251249245242243240239239236236235233234237243244238238999999999999999999999999999999999999999999999248248999999999248249246245245244247253254257256255252253252252253252253253254253253254256257257255257256259260261261261261261999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999253999999999999999999999999999999999999999999999999999262266265999999999999259263264264264261999999255257259261262264266267266267266268265269267266267265266269268268267265263261261259260261261262261262262261261261262262262262262261260263259258263263261260263261263263262263261262262262261260260260259259257259259257263261260259261262263262261259261261261261260261258257260259262259258263262261259258257255255257257258257258258256254255257254256257253258257252253255251259253257255259255259260260259257256260258259258256255256254253253252252252254253255254252253253252252253254254254253251251251250249248251253254255258259259258257259257257258258258257256256255255254254253254253254253253251252254255255255256255254255255255256257257257259257258261260260260260259259259259260260261262263264267269269269270270270270270270270270269269269269269268268268267268266266266267267268269269269269269269269269270269270270270270271271271271271272271271271272273273273273272272271270270269269269268268268268268267267267267267267267267267267267268268268268268268269270271272273274275276276275275275274273272271271272272271271271272272271272272272272271270270271270271270270270270270270269269269269268268268269269269269269269270270270270270271271271272272273273274274274274275276276276277277277278277277277276276276 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999251253253254255254254253252253252251251249248248249248247246245247248248249251251250250248247246246247247248249249250251252254254254251251250249250251251251250249248249248244244239238238234235235232231234239243241236237237999999999999999999999999999247999257999248248249248248249999999245246250254254255255254254251254253251251251253254253254255256258257256255256259260260260261260260999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999257256262259999999999999999999999999999999999999999264265266268266999999999264266264263262263261259256257259259261262266267268266264266266265269270267264269269268267264266265265263263262262262262263263262263261261261261263263263261264262262264264264264263264262263263264264263258261261256257261257262259260259260260260261262261261260261262263262262259262263264262261259260263262262262262263261259258257257257257257257258257258258257254258256256257253254258258256255256257258257257259259259259259259255256260261260258253256256255253255254251251255253256252252252252252252253253249249251248247249251250249250254254255256257259259259254258258254258258258253250255255254254254254254253256252254251250252255255253254254254254255255256257257257258258259260261260261261260260260260261261262262264267268270269270270271270270270270270269269269270269269268268267267266267267268268268270270270271270270271270271271271271271271272272271271271272272272272272273273274274274274272272272271270269269268268268268268267267267267267267267268268268269269269268268268269270272273274275275276276276275275274274273272271271272272271271271271271272272272272272271271271271271271271271271271271271271270271271270270270270270270270270271271271271271272272272272273273273274275274275275276276276277277277277278278278278278278277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999250252254254254254254253251251253252249249247249248247248248247246247247248249251249247246246247247247248250251250249251252253255254255254252251250250249249249246247246247243240236236234232231234232227231233235237234234999999999999999999999247247250249999249249250999248248246245243244246249253254256256254252251250253251249250251255255255255257259258257257256257258258258259255249999999999999999999999999999999999999999999999999999999999999999999999999999258259260260999999999999999999999999999999999999999999999999999999257258999259254256255262999999265999999999999999999263264266269267999999259265270269999261263265262262261261261263266268266268265265266265267267269269266268269267267266267268266266261264264264264263263263263262264264265263261262263261262262263263261265265264264264264264263263262263258257261261260260260259260261261261262262262257258260258261259257261263264264260259260260263263261263260260259258258257257258258258255256258258257257255258255255258253258260259258257256258260257257259260260261258258259258259260256254256258259258255254253253252251254254249252251252250253252252250249250249241245247248250250252254251256258259256255259258257257256257255250255254254252252254253251252250249249250250253252253253253254254254255255256257257257257258259260260260260260260261261261262262263265267268268269270270270270270268269270269268268268269269269269270268267268269268268269269270271271271271271271271272272272272272272271272272272272273273273273273273274274274274274273272272272271270269269268268268268268268268268268268268269269269269270269270270271272273274274274275275276275274274274274273272272272271272271272271272272272272272272272272272272272271271271271271271271272272271271272272272272272272272272272272272272272272272272272273273274274275275275275275275276276277277277278278278279280280280280279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999255253253253252252251251251250250250250250249249249247246245245247247249248247247246248248249250251252252251252252253253253254254253252251249249248248247244245245242240236234233232235234232227227234235232235239226999999999999999251248999999250248999250250249249248246245245244246251252254257256254999251251251249249250252252250250254254256257257257257257255255254999999999999999999999999999999999999999999999999999999999999999999999999999999256257257259260259256999999999257256254999999999999999999999999999999999259257255257256999999999999999264999999999999999263264264266268269999264265272273271268265266269268267267265265265268269266266268269265266267269267269270268268267267267267267267266265267266265262263262262263262261263264265264267264263263264265265266265265265265264264264264263263262260262262258262260259259260260261261261261260260258261257254260262261262263263263259263264261260261260259259260257257257257258256256255256257257257255253257255254255256255254259259256258260259259259260260261259258255255258259260256256261255255256256255254254252250253249250251251252248249248248254247247246241244245247247247249251253250254254255255259256256256254255257254254249255252253250249250251250250250250251252253253253254254254254254255255256257257258259259260260260261262262262262262264265267268268269270270270271271271271270270271270269268268269269269269268269268268269269269270271271271271271271271272272272272272272272271271271272272272272273273273273273273274274274274274273272272271270270269269268269268268268268269269269269269269269269270272273273273274274275274275276275275275274274273273273272272272272272272272272272272272272272273273272273272273272272272272272272272272272272272273273273273273273273273273273273273273273273273274274274274275275276276276276276276277277278278279279280280280280280280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999254254253252252251251249250251251251250252251251249248246246247247248247248248248247248249250253253253252251252253253254253252253252250250249248248247245244244243240239236237234237234233229227229234232236999238999999999999249247999999248249247248248250250249249247246246247251252251254259257999999251251251249250253254252251251253253254254255256257258256254999999999999999999999999999999999999999999999999999999999999999999999999999256259259257256258260259255999251252255253255999999999999999999999999999999999999256256255255255258260263267267267268269270267266266266268270272270272270272275271270270270269268268268267268268267269266268267268270269269270268270270269269267267267266266266266266266265266262263263264265264265261263265265264263262265266266266267265265265266265264264264264263263263261259262260260260259260259260261261261261261260261258256257261261262262262263262261262261260260261259259258257258258258258255257258254255258256252255256256253257257257254259259259260259261261260260259259258258259258259259260258259260258257257256258257256255254250252251252253251251248248248251247245245244244246248246245247248250249252252255256256255254258252254255253255253253250250253250249249250251252252252253253253254254255255254255255256257258259260260260261261260261262263263263265267268269269269270271271271272272272271271271271270269269269269269269269268268269269270270270271271271272272272273273272273272273272272272272272272273273273272273273273273273273274274274274274273272272271270270269269269269268269269269269269269270270269270271273274274274274275275275276276276275275275274274274273273273273272272272273273272272272272272272272273273273272272273272273272272272272272273272273273273273274274274274274274274274274274274274274274275275275276276276276276276277277278278279279280280280281281281281281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999253251251249251250251251252253252251251252251249249250248247247247247248250250250250249253253253252252254251253253251251251250249249249248248248246246244243243241238237237235234237234228228999999999242999999241243245247246246246999247248248248249248248249248247247249251251254260262260999252251251250250254255255250250252252252251252251254257254249999999999999999999999999999999999999999999999999999999999999253260257264999248252256255259259260259259999250249252252250999999999999999999999999999999999999999999999258261262267269269269267268269272273273272271270269270272274276275274274269271271270270270269269269266270267267270271270272268269270270268269270270269268268268267266266266266266265263264263264263264265266265266262263265264265266268268267267266266266262263266265265264259260258262261261260260256258257258259260261261263261259258259258261260263263263263263261261259260260261261257256259255257259258257257258257258258258257255255257257254256258257261259259260260260260260261259259259259258259259260259259260260261261260260260260258258257255254249254253251253254253253251250248248247246245245246247247247247247249252254255257255255254254254255255256256256254254253253250250253251252252253253254253254255255254255255256257258259259260260261261262262263262262264266266269270269269270271271271272272273272272272272270270269269269270269269269269269269270270270270271271272272274274273274274274274274274273273272272273273273273273273273273273273273273274274274274273273273272272271270270269269269269269269269269270270270270271273274274274275275276276276275276275275275275274274274274273273273273272272272272272272272272272272272272272273273273273273273273273273273273273273273273274274274274274274275275275275275275275275275276276276276276276277277277277277277278279279279280280281281281281281281281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999251252251252253253252252253253252252253253248246247247249249250250250252251252252253254255253252252252250250249249250248248247246245244243243241239236237239237238238236232229231234237238239240242243245245246246246246247249248248249249248248248249250251251257263265264260257254253252252253255253253248252252253253252251999999999999999999999999999999999999999999999999999999999999999999999266265258260261263999999999999999259259259258999999251248999999999999999999999999999999999999999999999999999263260263267269268269269271270273273274275275273271272272273275274274272268270270272272271269269270269267269270270269272271271271271269267268269267269268270269269268267266267267265266266266265265264264265265263262261266265266266267267266267266266266267266266265265264259261261258262260259258261259259259259260261260261261262260258257258262263263263263262263263262261259260260259258258259256256259258258257254258258257257256255256257255260259258261261256257260260257260258261259258257258256258259260260260261261261261262261261257259256257254255252252251253255255255255253252253251249248248247247249250248250251251254255256257259258256257256255256255257257257255254253253254251251252253253255255254255255255255256256257258259260260261262262263262263263264264266267267271271269270270271271272272272272273272271271270269269269269270270270269269268270270270271271271272273272273274274274274275275275275275274274274274274274274274274274274274274274274274274274274273273273272272271271270270270270269269269269270270270270271273274274274275275275276276276276275275275275275274274274273273273273273273273272272272273272273272273273272272272273273273274274273273273273273274274274274275275275275275275275275275275275275276275276276276276277277277277277277277277278278279279280280281281281281281281281281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999252252253254255254254254254254253253255255252246248246248248249250251251253252251252252253253253252252250249248248249248247246245245244245244243241242239237239239239235233236234234236231237237239241243245246246248247248249248249250250251250250252253254259262265266263999257257257256255255254256254254254251252254255255999999999999999999999999999999999999999999255252252999999258254999256265264262264264999999999999999999999261258258999999251252256999999999999999999999999999999999999999265261260263266269270271269267271273270272273275275276275270274277274275275274274271271273273272271270271271271270271272271272272270271269271270268269268267265268266267266263267267267265264264264264265265265264265265266265266266267266268267265265267267268268267268267266261261260262260261260258260261261261261261261263263264263264262261259259259263263263262264263264263262261261258259259260258256255258258258259258257258257257258257257258259259259256258260260261260261260260259258258259258258257257258259259260260261261259262262263258259261260259258257256254253253255255254256255255253253254250250250251252251251251253255255255255257258256257258258257257256256257257256256255254253252252252254254255256255256255256256257258259260260261262263264264264264264264264265266268268271270270271271271272272273271272272273271271270269269269270270271269269269270271271272272272272273274274275275276275275276276276276275275275275274274274274274274274274274274274274274274274274274273272272272271271271270270270269269269270270270270271274274274274275275276276276275275275275275275275275275274274274273274273273273273273273273273273273273273273273273273273273273273274274274274274274274275275275275275276276276276276276276276276276276276276277277277277277277277277277277278278279280280280281281281281282282282282282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999252253255255256256256256255254254255257254252249248248248246247249250251251251251251251252252252251250250249248247247247246246246245245245244242243242242239240241241236234236238240240238238240242244246248248249249248248249249250251252254255256258260263265266267266263999259262259257260260254254256256255254254254255258999999999999999999999999999999999999999247255999260999257256257261261264257255258259999999999999999999999999999256256253250254257999999999999999999999999999999999267266267265265269270272272270271270270272273273276275275275274273277278277277275272274274274273271270269270269272272271271273270272272272272272269271269268268267265264266266265265265265266265264265266266266264266266266266262263266266266267266266267266267268268268269267264266263262262263262261262262262261263262260263264264264264264263263260260263264264264264260264264263264263262260258259257258256258255258258259259259256258258256258258258258260260259261258260261260260259260260258258259257258259259259259260260260260261260260261261261262261261261259259259259257256255255255255255255255255255254253252252254256255254254254256258257256258257257257258258259257257257257256257257256257257253252254254255256257256256257258259259260261262262263264265265266266266266265265266268268270272271271271272271272272271272272272273271271270268269270271270270270269270271271271272272273273274274275275275276276276276276276276276276275275275275275275275275275275274274274274274274274274274274273273272272271271271270270270270270270270271271273274274274274275275276276275275275275275275275275275275274274274274274274274273273273273273273273273273274274274274273274274273273274274274274274274274275275275275276276276276277277277277277276277277277277277277278277278277277278278278278279280280280281281281281282282282282282282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999254253255255253257257257256256256256255253252251248247246247247249250250250249251250251252252251251249249248248247247246246245244244244243243242241244243243243242242239239240241241240240242244245247248249249249251250251251251251251252253257261264267268267267266263262263264262257254254255255256257256255254255257257999999999999999999999999999999999999999255256254254256253250999999259256248240256999999999999999999999999999999255254253254253260999999999999999999999999999999999269270270270270272272272272273271273274276276274275276275273277272276278278278276275273276275275271271270269270273271272272271273272273271272272270270269269268268268268268265263266267266266266265266265265262263264260262263263264266266268268267267268268268267268268268267266266265263263263263261262263263263264263263262264265265263264263260263263260265265265265263263263262262263262261257260258259258258258258260258259257256258258258257259259260260259255259259259259259259259259260256260259259258258259259260260260261259261260261260262262262261261261260260260260259258257255255255255255255256256256255255257258256257255256256258258258259259258260257257258257258258257257257257258257257256254256256256256255258257258259260261261262262263264265266267267268267267267267266266267268270271271272271271271271271271271271271271270270269268269270270270270270269271271271272272273273274275275275276276276276277277276277276276276276276276275275275275275275275274274274274274274274275274274275273273273272272271271271270271270271271271272274275275275275275276276276275275275275275275275275274275274275274274274274274274273273273273274274274274274274274274274274274274274274274274274274275275275275276276276276276277277277277277277277277277278278278278278278278278278278278278279279280281281281281281282282282282282282282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999252254257254255255257257258256256256256254253251249248247247247247248251250249249249248251252252251250249249248247246245246245244243243243242243244245246245245245243240240240238238243245244245246246248250251250252253254256253252252254260264266267268267266266265264262261261260253253253253256256257255255255256999261260261261999260261259258255257999999999252257254249248251999999999253999999999999999999999999999999999999999999999253250252249999999999999999999999999999999999271271273276275275273274273272274272270272273276276276276277276277276277279279278275275274277277276271272270269270272272272272273273273270271272271269269267268268269268269268266265265266266266266264265264263262264263262263264263264264267268268269267269268268268268267267266266265264263264263262261261262263264263263264263265266266265262263261265264261265265264263262263264264263262260261258258256257259259258257259260260260258258259260259259259257257258257257258259258262258260261261257260261259259259260260259259259260261261262262262263261262262262261261261260261260260258257255255255255256256256256256257257257257256256256258258258258259258258259260260259259258258259257256259260258258260258256256257258258259260260261262262263263263264266266267268268268268268268268267267268269270271272272272271271271270270270271271271271270269270270271271270270270270271271272272273274274275275276276276276277277277277277277277277277276277276276275275274274275275275274274274274275275275275275276275274274273273273272272271271271271271272273275275275275275275276276275276275275275276276275276275274274275274274274274274274274273274274274275274275275275275275275274274275274274274274275275275275275276276276277277277277277277277278278278278278279278279278278278278279278278278279280280281281281281282281282282282282282282282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999255256256258257257258259256258258257255253252250247247247246247248249249250248247248250251250249249249249248247245245244244243243242242243244246246246245245249245240241242241243250250249249246248255258260260261261261261263264263263266267268268266266264264263262257254254253252999253255255256257257259999999999999999264262259260260259255255253255254251249249249247248999999999999999999999999999999999999999999999999999999999999259259262266265999999999999999999999999999272272274276278277275277277276276271275275276275276277277277274274273277277275279278278275275276275275273271269269272272273272272274274274272272272273269269270268267268269269268268266267268267268267266265266264265263264263263263266267267264266269269268268268267267268267267267266266264263263262262263260262266265264264264265265265265265264260264265264265264263263263263264264264264262261261261261259258257258258259260260259259260260259260259255257258258258257260259260262262260261260259259259261259259259260260260260260261262262262262263262262263262262261261261261260261260260259258258256257257257257257257257257257257257257258258258258258258257259257260259259259258260257258258259260259261260260259258258261261261262262263264264264264264266266267268268268268268268269268268267268269270272273273271272271271271271271270271271271271270270271271271271270271272271272272273274274275275276276277277277277277277277277278278278278277277277276275275275275275275275274274274274275274275275275275275275274275274273272272272272272272272272272274275275275274275275275275275276276277277276276276274275275275275275275275274275274274274274275275275275275275275276275275275275274274275275275275275276276276277276277277278278278278278278278278279279279279279278278278279279278279279280280281281281282282282282282282281282282282282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999253253259258259258259256258258259255254251249247247246246247248248250249249247247249248247245245246247247246244243244243243243243241243246247245244245247250251245242242243245247253253254255255260260260262265266267267267267267267268268268268266263260260258255253252254253251999252254256258262262264999999999999999999263260260259259255253251249251250250250249251249999999999999999999999999999999999999999999999999999999999263255259266261267265270999999999999999999272274275275277277277276277277276277276276275276275277278279278278278278277278278280277276279278276275272274272269272272273274274274274273273271274274274273271270270270269268267270270270269269270269269265266266262265265265264266267266265266267265269268266267268268268268267267266265265265263263262262262264265266264265265265265265263264263263261263265266265265265265261264266265265266261263263262262260258258260259259258257262261262259257257258258257259259260261260261261259261261261260260258258259259260260260260260260261261262262263262263263263262262262262262261261261261260261260260259259258258257257256258259257258257258258259259257258257258258258258260258259260259260259258257259259259261261261261260260263263262264263264265265265265265266267267268268268268268268269269269268268269271272273273273273272272272272271272271271271271271271271271271271271272272271273274274274275275276276276277277277277277278278278278279278278277277277276276276275275274275275274274274274274275275275275275275275275275274274273273274273273273273272273273275275275275274276275275275276276277277277276276275275275275275275275275275275275275275275275275276276276276276276276275275275275275276276276275276276277277277277278278278279279278278279278278279279279279279279279279279279279279280280280281282281282282282282282282282282282282282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999255259260258260259259259258259259258255252250248248247247248248249248247246243243244245245245244244246246245245243242243241242242242244246247246246249248249251255248245246246248249249254259259258260261265267266265268268269268269269268268266264259259255254253252252254254253252252254256258263266999999999999999999999264262262251999999252251251249250250249247250999999999999999999999999999999999999999999999999999999272266267266266268269270270270999999999999999999272275276278279276276276276276276276278277278279277278278278279279279276276276276279278276278277277275272274272271272273274274274275274273273271274275273272271270270270270269270270271270269271270270267264267263265262262268265268267267268267266267268266265265265267268268267267267267266265263263264261266264263265265265265265265265265265264263264265266265265264264262264264265266265265265265264263263259260261259261261260262261261262261260259258257259259258260259262262261261261261260260260260260260260261260260261261261262262262262263263263263263263262262262262261261261261261262261262261261261260259257258257258258259259259259260259258259258260258258256260260260261261259259258258260261261262262262262262263264261263265265265266266266266266267268268268268268269269269269269269269269269271272274273274274273273273272272273272271272272272272272271271271271272272272272274274275275276276276276277276277277277278279279278280279278277277277276276276275275275275275275275275274274274275275276275275275275275275275274274274274274273273273273273274274274274274275276276276277277277277276275276276276276275275275275275275275275275275275276276276277277277277276276276276276276276277276276276277277278277278278278278278279279279279279279279279279279279279279279280279279280280280280281281281282282282282282282282282282282282282283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999253259260260260259259260258258259258257253250248248247248249248248246244245243241243244244244243242244244245244242241241240241242243244245246246247249249249252256254254251251249246999999252257258259264267267268268269269268267268269268266263260257256255255254254254255255254253253255257999999999999999999999999999999999999999999999999999253250249251248246999999999999999999999999999999999999999999999999999999999268272270268268268268272271271270999999999999999270273276278278277275275276276277278279278281279278277277278278277278278277277276276277278277278277275274273274274272270272274275276274273274271270273270273273272271271269269270271271271271271271267270268265271269266269266267265268269266267267268268267266266266266264268269267267267267266266264264264264263262263265265265265264266265267264265264264263264262266263266265264265267267266265264263265265263262261261260260260261260260261262261261260259259259258257259260260261261261261260261260261261261261260261261261261262262262263263263264264264264264263263263262262262262262262263262262262262262261260260259260259257257258259258258258258259259257259258255258259259261261261261261260258259260262262263263263264264264265266265264266266266266267266267268268268268269269269269269270269269269270272271274275274274273273273272272273272272273272272272271271271271272272273272273274274275275276276276276277277277277278279278278278279279279278277277276276276276275275275275276275275275275275276276276276275275275275275276275275275275274274274274273273274274274274274275276276277277277277277277276275275275275275275275275276275275275276275276276276277277277277278277277277277277277277277277277277277277277277278278278278279279279279279280280280279280280279279280280280280280280280280281281281282282282282282282282282282282282282282283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999257260259259258258260259259260258256253250247246246249248248248246244245243242241243243244243242243244243241240239239239241242242243245246246247248250252256256253251250999999999999999999258260263265266269268268268267267267269269269266263261258259260257256255254254254254255260999999999999999999999999999999999999999999999999999999254253250249249248253999999999999999999999999999999999269273273272274999999999271270267271271270272273272272271270269267270268271274277278277276276276275276278278278279279279278277275279279279281280279276277278278280280278277275276274274274273270270275277276275275274272272274272273274270272271270270270272272273273272270273273272272271272271270270270271273270269270268268269269268268267266265268267266267267266266265264264264264264263265266265265265265267268268266265264265266265262263266266264264265266266267267265264264264265266264264261261261261261261261262261262262261258257256257260260260260260261261261261261260261261261261261261261261262263263262263264264264265264264263263263263263263262263263264263263263262262261261262261261261258259261259260260258260259258259258258258258260258262261261262262261259260261262263264262262265265264264266266266266265266266266266267268268268268269269269269269270270269269270271271273274275274274273273273273273272273273272272272271271272272272273273273273274275275276276276276277277277277278278279279279278279279278278277277277276276276276276276276275275275275276276276276276276276276275275276276276276276275275275275274274274274274274274274274276277277277278277277276276276275275275276275275275276276276276276276276276276277277277277277278278278278277277277277277277277277278278278278278278279279279279280280280280280280280280280280280280280280280280280281281282282282282282282282282282282282282282282282283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999256259261258259260260260260260258256253249246246246248248250249247246245247246243244244244243244242242241239238238239240241241241244244245247248249252254252252250247999999999999999999999260262266269271270269269268268268268268270263262262261258255262259257257257255259999999999999999999999999999999999999999999999999999999999999260256253247246251253254999999999999999999999999999271272273275274273272274999270273268270274273272273274273272272272272272272272274277275277277276275274275275277278278278278279279277277280280281281282282282279279281281280280277276276274274274272271272276278276273275275273272272273271274271272271271270272272273273273271272271272273273270275273273272273272274273272271269269269270270268267268267266267267268266266265265264264264263264264265264266266265266267267268267266266265266267265264264266265263264264265267266266264265264265264265265265264264262262262262263262263261262261261258260260262260261262261260260260261261261261261261261261260261261262263264264265265266265264264264263263263264264263264263263263263263262261262262262261262262258262262261261257257260260256257258258260258258259260260260260259260260261261263264264263264265263264264265265266266266266266266267267268268268268269269269269270270270269269270272271272275276274274273273272272272273273273273272272272272272273273273273273274274275275275276276277277277277277278278279279279279278278278278277276276276276276276276276275275276275276276277277277277277276277276276276276276276276276276276275275275275274274274274274274276277277278278278277277276277276276276275275275275275276277277277277276277277277277278278278278278278279278278278278278278278279278278279279279279279280280280280280280280280280280280280280280280281281281281281282282282282282282282282282282282282282282282283283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999247258261258258259259259260259257255252248247245246246247248249248248251250250248247247245246244243242242241240239238238240241242242246245246246248251255255254251249999999999999258258260263266269271272272270266265265267268268268265261259259255256260258256256256259262999999999999999999999999999999999999999999999999999999999999999999258245243252257249258256999999999999999999999274272275275276272276271273272273272274274272273272274274272272272273273273275277277274277276276275273271276277279278278279278279278278279282279281281282282281281281280280277276276273275276275274274276277279277276276275275275274274271274272272272272273273273274273274273273273273274274273272274274272273273274274273273270270271273272269270269268267267267267267264264265265265265265264266266265265263267268268268267267267267266268268267266266265266264265265267266266265264265265267266265266265265265265264264262263263265264260263262261260259261260261261261260260260260260260261260261261261261261262263264264264264265266265264264264263263263264263264264264264263263262263263263262262261261260260261262262258257257256260261258259259259259259260259259259259260261261262262263264264266265265263266265265265265265266266266266267268268268268268269269268269270270269269269270271272273275275274274273273273273273273274274273272272272272273273273273273274274274274275276276276276277277277277278278279278279278279278278278277276276276276275275275275276276276276276277277277277277277277277277277277277277276276277277277276276276276275274274274274274275277278278277277277277277277276275275275275275275275276276277277277277277277278278278278279279279279279279279279279278278279279279279279279280280280280280280281281281281280280280280280281281281281281282282282282282282282282282282282282282282282282282282282283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999258261257256259257259258258256254251248248248247249251251252251252252251251251249248248247244243241241241241240238237239242242243246244244244246250255258255255254256258259259259261262264267268270273270271271268268266265265265264260257256253259263263257257258262264265999999999999999260262999999999999999999999999999999999999999999999246244251261259262999999999999999999999273274275274275276275273273273272272271273273272272273274274272272272273274274276277277277274276276275273276277278277274279278278279279279277280279280278281281281279282280277276276277275275276271273276278278278276275277276275276275275272273273271270272272273273273270274273272273271272272270271274272273274273274274274271271272272272271271271267267266268267268268264266266266265265264265265265265266267266268268266266267266267268267267267266265267265264265265266266265265266264267268268267267265266267267266266266263262265262264264264263261261261260261260260260260260260260260260260261260261261263263264264263264265265265264264264264264264264264264264265264263263262262263263263263262262261261260262262259258258257257261261260260260260260260260260260259260261262262262262263265266266264264263266266267265265265266266266266267267268267269269268269269269270269269269269270272272272275275274274274274274274274274274274273273273273273273273273273273274274274275275276276276277277276276277277278278278278278278278278277277276276276276275275276276276276277277277277277277277277277277277277277277278278278277277277277277277276276276275274273274274276277278278277278278277278277276276276275276275275276276276277278278277277277278278278279279279279279279279279279279279279279279279280280280280281280281281281281281281281281281281281281281281281282282282282282282282282282282282282282282282282282282282282283283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999255262259254258258259258258256254250249249251250252253253252252252252250250251249250250250246244242241241241240237236238244243245245243242242243245250256259260260258260262261262262265266268270273273271272272270268266265266265266264259257258261264262256258260264265267263268999999999260261999999999999999999999999999999999999999999999246244251262261267999999999999999999273274272273273275275275275273272273272273273272272273273274274272272272273274275276277277278278278277277275277278278278278279279279279279280279281280280280282278281281281279277276275278277278278277276274277279277278278279277275276276276274273272272271274272272275274273273273272273272272272272270272274273273273273273274272272272272273272271271268269269269265265268267266266264265264263264266264264267268267268267267267267267266267267267267266265264264264264265266267265264267268268268267267268267268268268266265267262265261261262265265263263261260260261261260260260259260260260261261261261261261262264263264264265265266265265265265264264264264264265264264264264262263263263263263263262262262262261261261258258258258258262261261261261261259261261263262262262262263263263263264265266263264264267266266267266265265265265265265265266267267268267268268268270269269269270269271272272272273275275275275275274275275274275275274274273273273273273273274274274274274274275275275276276277276277277277277277277278278278277277277276277276277276276276276275276277277278279279279278278279278278278278278278279279279279278278278278278277277276276275274274274276277278278278277278278278277276276276276276275276276276276277277278278278278278278279279279279279280280280280280280280280280280280281281281282281281281281281282282281281281282282282282282282282282282282282282283283282282282282282282282283283283282282283283283284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999258260254256258259258258257254251250251252252252252252253252251250247248248248247249249247243243241241240239237236237241244244241240239240241242246251255258260260259262263262262265267268271272272272273269270269267265264265266266263262263262262262258262260264265999999269999999999263264264999999999999999999999999999999999999999999251250263265266266266999999999999272273274274272274274275275273271274274273273273272272272273274273272272272274275275276276277278277278278279276276276278279278277279280276280280280280281281278278280278279279279278276277278279279278278277277278275279279278278277276276276276277276273273268269274275275274271268274272272274274275274276273275273273272274273272271272272272272272271271270269270270269266268267265266266265264264264265265266265267268268267267268268267268267267267267266264263265265265266265266266266267266267268268268267267267267268267265265264262265262262266264265264263262260261261260260260260261261260261259262262261263264264265265265265265265266266265266266265265265265264265263264264264263263263262262262263263262262262262261261261259258261262261261261262263263263264264263263262263263264264264264265266267268268267267267267266266266265264264264265265265267266267267267268269269269269269270271272273273274275276275275275275275276276275276275275274273273273273274274274274275275275276276276276276277277277277277277277277277277277277277276276276276276276276276275276276277278279280280280280279280280280280279279279280279280280279279279279279279278277276275275275274276277278278278278278278278277276276276276276276276277277277277277278278278278279278279279279279279280280280280280280280280281281281281281281282282282282282282282282282282282282283282282282282282282283283283283283283283282282282283283283283283283283283283283283284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999257257257255257257258257255254252252251252253252253253252251249248249249248246246245245244244242241241239238237236237239240239240237237239242243244247250254257259260263264263263267269269271272273274273273271269269266265265266266264264263261257264263264265265266266999999999999999999999265266999999999999999999999999999999999999999999259263266268269270270999999999272272273274274275274274275273272275276275274273272273272273272274272272273271274275275275274275276278278278278276276280280280279278278279279280280280280281281279280281281281281282279279280280280277280280279279280279279277276277275275275275276275274274270271269273272273270271273275272276276274274274275275275274274275273272271272273272271271271271271270269269269268267267267267266266264264264265263267267265268268267267268268267267267266266266264265264265266266266267267267267268268268269268267267266266267266266265264262265265261261264264265265264262263262261261261261261260260260260262263263263264264264264264264265265266266266266267265264266265264264264264264265265264264263262262262262261263263262262262262258258258262262262260262264262262263265264261261261262261264264265262267267268268267267268267267266267266266266265264265265266265266266266267269268269269270270270271272273274275276276276276276276276276277277276276276275274274274274274274275275275275275276276276277276276277278278277278277277278277277277277276276276276276275275275276276276277278279280280281281281282281281281280280280280280280280280280280280280279279278277276275275275276277278278278278278278278277276277276276276276276277277278278278278279279279279279279279279279280280280280280281281281281281282282282282282282282282282282283283283282283283283283282283283283283283283283283283283283284283283283283283284284283283283284284283284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999249253254259257259258256256255254253252252253252253252252250249250249249248249247246245243243242241239239241237236238240237235235237238237241243244245247248252258261263263265266267269270272273274275273274273272271269267267267267264261999265258260262265266267267266266999999256255999999265266999999999999999999999999999999999999999262263266269270270270272272269272273274274274275276275274274273273275275276276275273270272272271273272273274273274274274275275277278278279278278276277276278281280276279280279280279279281282282282282283280282281282281281282280280278281280280280279278277277276275276275275274276276275270270273272273274274272274274275274277275276275276276276275274275275275274272272272271271270271271270268268270268266267267268267267266265264263263265264267266265265266267268269268267267266266266263264263266266265266267268269268269269268268267267267265265265265265263262264262265261262263264264264261263263263262261262262262261262261262263264262264265264264264263265265267267265266266266265265265265264264264264265265263263265263263262260261263262262261258261259259262262261261263262261259262264261265265261263262262265266265267264264268268268265265269269268267267267267267267267266266267267267269270269269269270270271271271272273274275275276276276276277277277277277277277276275275274274275275275275275275275275275276276276276276276277278278278278278277278277277277277277276276276276276275276276276277277278279280281281281283282282282282282282281281280280280281280280280280280280279278276276276275276277277278278278278278277277276276276276276277277277277278278278278279279279279280280279279279280280280280281281281281281282282282282283282283283283283283283283283283283283283283283283283283283283283284284284284284283283283284284284284284284284284284284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999245256258259260258257256255254253254253253253250254252251250251251250250252252251250248246244242241240240239239240241239237235234237239238240246245245246249255259261263264264265267269271271273274274272272273273271271270271270268266267999999259262261264266267268265264260259255256999263266267999999999999999999999999999999999999263268271272272272272273273275274275274274275274274275275275275275275276276277278275274272271271273274274274273274273274274275277277278279278278277275277280279280279279281279278279278278282284282282282283283283283282282282282282282280279279281280280278275274276275276275275275275273275274271272273275276275274275274277277276278275278277277277275274277275274273272272271271271271271271270268268269268267267267267267266266265264264263265267266266265265265266267268268266265264264263263263264265266266268268268269269269269269268267267266267266266264263262263262262263263264264263263262263263263263263263263263263263263263263263263264264264263263263263266267267266266266265266265265265265264265265265265264263263264263262262263263263263263258258261262260259261262261263262264264265261265263263260263263263264267267268268269269269269270269269269268268267267268267268269268268270269269270270270270271271271272272272272274275275276277277277277278278278278277278277277277275276275275275275275276275276276276276277276276277277277278278278278278277277277277277276276276276275275275275275276277277278278279280280281281281281281282282282282281281280280280280280280280280280280279279277276276275276277278278278279279278277276276277276276277277277278279278278278278279279280280280280280280279280280280280281281281282282282283283283283283283283283283282283283283283283283283283283283283284284284284284284284284284284284284284284285284284284284284284284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999256259259259257256255256255254254254251254248252252252252252252254254254252252251249247246245245243243242241240239238237237238237238244243247247248250257259261261263264264267269271274273274274274273273272272271272272272271270268268269267264267268268267268266260262259256256257260271273999999999999999999999999999999999266268271272273274275275275277277277277277276277278275275275275276277278278278277277277276274272276272271274274275275274275275276278278279279278275279276280281280279279279278279278277280280281283284284284284285285284284283284284284283281280282282278278280276274276275275275273275275274272276273273272273276275273273277278278278277278277274277276275276275276275271273271272272271272271270270270271270270268268268267267265265266265265265266266266265265265266267267267267266265265264263263264265266267267268269269270269269269269268266267266265267267264262261262263263264264265263263262261263264264264263264264264263264263263262264263264263262262264266265267267267266266266266265265264265264265265265265265265264264263263264265264265265264264262261260262263264264264264264263265265266266265266262262263264265264268269268265269270271270269269270269269269268268267268268268269271269270271271272271271272272272272272273274275275275276277277277278278278278278278278278277277277277277276276276276277276276276276277277277277277278278279279279278278277277277277277276275276275275275275275276276277277278279279279280280281281281282283282282282282281280280280280280280280280280280280279278277276276276276277277278278277277276276277276276277277278279279279279279279279280280280280280280281281280280280280281281281281282282282282283283283283283283283283283283284284284283283283283283284284284284284284284284284284284284284284284284284284284284284284284284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999256258260258256257256256256255254250253253253253253253253255255254254253251250249247245246244243243241240239238238237237238240241242247248248249257260261261263263264266270272273273273273273273273273273273272273274273272272273273274273273274274272272272264263265999999999999271272999999999999999999999999999999999269271272273274275274277277277277278278277277277277279278278277276276276277276277276278279277273273275273273276274274274275276277277278279279279280276280281281280278280279279278277275280280280281283283284284284283285284285284284284284284283280280277280275275276274274275275274274275273275274271272272274275276275276278278278278277277277277276276277274275275273271275273273273271272271272271272270271270269267267267267267267267267266267266266266266266265264266265266265265265264265265265265266267267267269269269269269269270269267268267267267268265264262262262263263264264264263263262264263265264264263264264264264262262266264263265266266263263263264267268267266267266265266265264264264265265266265265265266265265265264265265265265265261264260262263265262263265265266266266264266267266267267263263266267265265269270266267270271272270270270270270269270269268268268268268268271270271272273272273272272273273273273274274275275276276277278277278277278277278278278277278278278277277277277277277277277277277277278278278278278278278279279278278278278277278276276275276275275275275275276277277278278278279279279279280281281281281281281281281282282281281280280280280280280280280280279279277276276276275276276276276276276276277277276277277278279280280280280280281281281280280280280280281281281281281281281281281281282282282283283283283283283283284284284284284284284284284284284284284284283283283284284284284284284284284284284284284284284284284284284284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999256259258257257256256256255255256254254254254254254254257255255255254254252249246245244242243242241239240238239238239239240241243246249248251257260262262262262264267270272273277272272273273273274274273273273274274273274274275275274275276276276276276271268267999999269270269999999999999999999999999999999999267271272273273272273274277277277279279278281277281280279278279278278276276276277278278277279280277274276273275274275275273273276277278279280280280278278276279277279276276279279279278280280280281280282283285284285282284283285284284284282285283282279281278276276275275275276276272275274275275271273271274275276276276277278277278278277278277277278276276273275274273272272272273272271271271272271272272269271270268267267267268267268266267267267266266265266265266265265266265264264265265266266266266266266267268269269270270271270269268267269268268267267268265263264264265265265264264265264265265264264263264264264264263263267267267266266266267266267267266266267265266265262265265264264265265266265266265265267265266267266265265264265265264264263259261265264261266263263264263267264267266267267268268265265267267266268268267268268269272272271272270270270272271271269268268269270271272272272272272272272273273273274274274275275276275276278278278278278279278277278279279278279278278278278278278278278277278278278279279279279279279279280279279279279279278277277276276275276276275275276277277277278279278279280280281281281281281281282282282282282282281281281281280280281281280281280280279278277276276276275275275275275276277277277277278278280280281281281281281281282281281281281281281281281281281281281281281281282282282282283283283283283283284284284284284284284284284284284284284284283283283284284284284284284284284285285284284284284284284283284283284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999250257258257256255256256256255256255255255254254255256257257256255255255252248246244242241241242241240240239238240239239241243244247247248251256258259259259260263266268271273274273272272274273273272272273273274274274274274274275275276276276277277277273269269999271270270272999999999999999999999999999999999268271272274273272273276278279279280281282283283278278283282280280279278278277278279279279280279280278280273274275276274273276276277276279279277279279279279278277279279280277278277275280279280280281282283284284284284283281281284285283283283282282280280278278278278275277276276275276275272272274272273275276278278277278277277278277277278277278278276275275275273273274273274271272272272271272271271270271269270269268270268269268269268268268267267267266266266265265265266266265266266266267268267267267267268269269269271271272272271268268267269267267269264265264265265266265265266265264264267265265264265266267263264264268268269269267267266267265266266267266267267266267265264265265264266266266266267268268268268267268268267267267266265262263264263265263263263263267263264264265265265266265265270270268267268268268269268268269269270270271274272271271268271272272271271271272272273271272272273273273273274274274275275275276276276276276278278278278280280279279280280280280279279279279279279279280280280280280280280280280280280280281281281281280280279278278277277277276276276276276277277277278279279279281281282283283283283283283283283283283283283282282281281281281281281281281280280280279278277276276276275275275276277277277277278279280280281281281281281282282282282282282282282282282282282282282282281281282282282282282283283283283283283284284284284284284284283283283284283283283284284284284284284284284284284284284284284284284284284283283283283284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999257258256256257256256256256255256256256255255257258257257257257256255253252248244243241242242241239241240241241240241242242245246246247251254256257257256256260265267270272274274274273273273274273272272272273273274274274274275275276277277278278278273270271268272271999999999999999999999999999999999999999269271272273273273274278280280280281282283284285284283284284283282282281281281280280280280281280282278279277276276276276276277276275276276276275274276278280278278280280279280282281281280279280280277283283282284283284284283284283284283280280278280276277277275274275274277277274274275275277274276275275277277279278278278278278277277278279278277279276275275274274275275273274274275274272272272271271270268270269269269269270270271270269269270270269270269268268268268268269269268268267267268268268267267267269270270271272272272272270269268269268267265268264266267266266266266266267266266266267266267266266266269269270270271270271270268267266265263265265266266269266267265265264264265265266266266268269267269269269269270270270270269269268264265262266263262264263265265265266265266266266267266267268271270268269268270270269269269270271271271272272271271272272272273273272273272272272272272272273274274274274275275275276276276276276276277277278279279280280280281281281281280280281280280280281281281281282282281281281281281281281281281281281280280280279278277277277277277277277277277277277278278279279281282283284284285284284284284283283283284283283283282281281280281281281280280280280280279279278276276276276276276277277277277278279280280281281281282281282282283283283283283283283283283283283283283282282282282282282282282282283283283283284284284284284284284283283283283283283283283284284284284284284284284285285284284284284284284284283283283283283283284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999256256257257257256256256257257258256256258258258259259257256255254254250246245244243242241241241239240241241240242244245245246246248250253255254254255256262266270272273273273274273273274274275273272272272274273273273275276276277277277278278277273272270268999999999999999999999999999999999999999270271271272272273275278281280280280281283284286286285286285285285284283283283283282282282280281281281279281282280277277278278277276276275274275278276276277280280280280281279281281282280280280280280280281284284285285284286284283283282280278279281277279277276276275274275276276275273277278278274276276276277277278278279277278278277278279280280280279278275274274277275275276270273274273271272272271270271270270269268270269272272271271270271271271271271268270270268270270270270270269268268268268268268269268268269270271271272272271271270269269270269266266266266267266266268267268268268267266267267267268268268271270271272272270271270271265268267265269267269270268267267267269268269265266267268268269270268268270270270270270270270270270267267266266266267266267266267268267267267271268268268268271272270270270272272270271270270271272272273272274273273274274272273274274274273274274273272273273275275276276275276275276276277277277277277277277279280280281281281281281281281281281281281281282283282282282282283283283282282282282282282281282281281279279279279279279277277277277277277277278277278278279279282283284284285285284284284284284284283284283283283282282281280280280280280280280280280279279278278278277278278277277277277278279280281281281281282282282282283284284284284284283284283284283283283283283283283283283282282282282282283283283283283284284284284284283283283283283283283283283283284284284284285285285285285285284284284284284283283283283283283283284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999263999999999999999999999999999256257256257257256256258258258257258259260260261260259258257255254251249249246243242240240239241242243242243243242244245247246246248251253253253256259263269270272272272273275274274275275276276273272272272273273274276277276277277278279279278278275275273999999999999999999999999999999999999999269272272272273275278280279279280281283284285284285286287286286285285283283283283284284283282281283282282282282282280279278279278277276276277278275277277279278280280280280281281281280280280280280280281282283285285286285285285285281279279281279280278278276276276280274277278278278274278279278274276276277277277278278279277278278279279280281280280278276275275278278276275272275272274269268268270269270269270270269270269270271273272271271271271271272271270269269270270271270268269268269269269269268269268268269270270271271272272272271270269270270267268267267267267267268268268269268268268268268267270269269270272272272273274271271270271270270267267268268269269268267264268266265265267269269268270270271270271271269270271270269270269271268269271268269270271270270270270269268269272268272272272272272270271274274274275273276275276274274276276275275272275275273273275274274274275275273273274275276276276276276276277277277277277278277278278279280281281281282282282282282281282282283283282283283283283283283283284284284284283283283282282281279279279279279279278278278278277278278278278278278278279280282283284284285285285285285285284284284284284284283283283282281280280280280279279279280280280279279278278279278277277277277278280281281281281281282282282283283284284284284284284284284284284284284284284284283283283283283282282282282283283283283283283283284284283283283283283283283283283283283284284284285285285285285285285284284284284284284283283283283283283283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999263999999999999999999999999999999258259258258257257258259259259258258260260260260259260258257254253253250247244243244243245246247247246245244243243245246245246249251253253255258263268270272270271272273274275276275276275275275273272273273274275276276276276276278278279279277276276273999999999999999999999999999999999999999268273274274275278280280280279280283286286283284286287287283283284283283283283284284285285282281284284283283282282282282280281278278277275275274276277277276277277279279281281278281281281281276280281281282283282282285286286285285284281283279278279278278278277279278277278278278279275279276276276276276278278278279279278278279278280279279280279278276276279279279278279272273272273271271269269269268271272271271271272273272271272271271272271272271272271271271270272272272271269269269269270269267269268268268269270271272272273273271271270270269270268269268268268268267268268267269269270270271269271270271271271273273272274272272270270271269269268269269269268268268268264265266265267269270270270271271270270271271271272271272270271271272270272273273274272272272271271271273272272273274274274274274270273275275275275272273276277277275275278277277274276275275274274275275274275274275274275275275276277277277277277277277278278279278279279280280280281281281281282283282283283283283283283283283283283283283283284284284284284284284284283282282281280280280280279279278279278278278278278278278278278279281283284284285285286285285285285285284284284283283283283282282282281280280280279278279279279279279278279278278277277278278279280281281281281282282282282283284284284284284284284284284284284285285285284284284284284284284283283283283282282282282283283283283284283283283283283283283283283283284284284285285285285285285285285285284284284284284284283283283283283283283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999265999999999256253999999257258259258258259260260260260259259261261259260261260259259257256254252249247247248250250249249249249248247245244244247247248251252253254257262266269271271270271271273274275276276273276276278277276275275276277277277277276277278279279278276277275274276999999999999999999999999999999999999269271273275278279280280280281283286286284284286286287285285283287284282284284285285285285285283283285284283282282283283283280279277276275278274275275277277277277276280281277277281280276279278277281280279282280282285285286285285285284284280279280280279278277278277276276279280279276279276276277277277278278279280278278278279279279278280279279279276277274276278278275275273271273272271271267270271272273273272273273272273273272273271273274274273273271271271272271271271269270269269269270269269268269269270269270272272273273271271270271270269269270269270270270269270269269270270271271270271270271272273273274271273271271271273273272271271270270268270268268267265265266267268268269270270271272271271272272272273272270270272274273272274273275272272275273275274274272273273273273271274275275275273271275273273275276275275278277279279280276279275275272274275275275275274275276277276277277276276277277278278278278277277278279279279279280281281281281281282283283283283283283283283284283283283283284284284284284284285285285285285285284284284283283282282281281280280279280278278278279278278279278280283284284284285286286286285285285284284283283283283283283282282282281280280280279278278278279279279278278278278278278279280281282282282282282282283282283283284284284285285284284284284284285285285285285285285284284284284284284283283283283283283283283283283283283283283283283283283283284284285285285285285285285285285285285284284284284284283283283283283282282283283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999268999999999999256252256257257257258259260260260259259259261262260259261260260259258256253252253253252252251250249248248249247246246244244245248250252253253257259263265270271271271271273273274275275275275274275277277277276277276275276275276278278278279278276277277275276276999999999274273999999999999999999999270272274276278278280281283285286286286285285287289289288287286284285284285287284286287287287285285285284283282283283284284281280278277276275278278275279275277277277277277277278281282277277279277281277281280281281285286285285285284283283283280277282281280279279279278278280281278280280282280279279280279280280279279278278278280280279279278277277277277278277275276275274275273277274272270271272273273274273273273273273275273275275274274275274273274273273273272272273271270270268270270269270270270269270270271272272272272270271271269272271271271271270270272271270270271272271271271271271271270272272273272275273272273273273273274272271271271271267269269268268267268269269270269270270271271272272272272272273273273273273273273275275276276275276276274275276276275276275275275273275275275276273273276276277275276275276278279279279280276280279278276273275275276275276277277277279279280280279279278278278279279278278278278279279280281281282282282283282282283283283284283283283283284284284284283284283284283284285285285285285285284286285285285284284283283282281281280280279280279279278279278279281284284284285286286286286286285285285284283283283283283283282282282281280280279279278278278278278279279278278278278279281282282282282282282282282282282283284284285284284284284284284284284284284284284285285285284284284284285284284284284284284284284283283283283283283284284284284284284284285285285285285285285285285285285285284284284283283283283283282282282282282282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999269266263999999999253257256258258260261260260260259260261262261261260260259259257256254253254255254253251249250250247247247247246246247250252254256257256261263266268268270270271272272272274275275275275276277278279278276276276277278278276279279279278277277276277275277277999999999275999999999999999999999269273275276277279281282281283287287286288288288288287290289286287287288286286285287287287286286287287286284284283284284284284284282280278277275275278279279276277277277280280281281278276277277281281281277277279281284286287286282285283282283283282281280281283281282281280281282280281280281282281280281282281282281280280279279279280280279278278277278280275277277277280276273275276276275274270272274275275274274273275275277276277276275276275276277275275275274274273274274274272271271271270270270269271271271271271270271273271270270273270272272273273271272272272272272272271272271272270272272274273274273273272274273273273273274273272270271270270268268269268268269269269270270271271271273273273273274272273273274274274273274274274274275275275276276276277276276276276275276277277275274275276275275276279279279279279278279280279281278279276278277277277277278275276277277277277278279280280280280281280279278279280279279279280280280281281282282283283283282281283283284283283283285283284284284284283284283284284284285285285286285285285286286286286285285284284283283282282282281281281280280279279280282284284284285285286286286285284284284284283283282283283283282282282281280280279279279278279278279279278278278279280281282282282282283282282282282282282283284284285284284284284284284284284284284284284284284284284284284285285285284284284284284284284284284284284284284284284285285285285285285285285285285285285285285285284284284284284283283283282282282282282282282282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999266260260259256256256256257258261261261261262260261261261261259260260258257257257256256256256254252252252251251250252251251253254256258259260261261265265267269270271272270272274272274275275276275277277276277275276278279278280280278279278278278277277276275275276277999999281279999999999999999999999272276276277278281283284285287288286287288289290290289289288287287288288287288287288287287286286286287287286286286285285284285284282281280278277280279279275276276276276280281278281281281280280278280278277279279284285286282284283286285284284284282282282281282282282279280281282282281282281282282282283284283282283282282282281281280280279278276277279280276277278278277276278276276275275276276277275276276275275276276277278277277277277277277277277277276276277277276276276275273273274273273271271271271272271270270271270270270270269271269271273275274274274273273272272273273273273273274273274274274274274275275275275277274274274275275271270272271271270270269268269270270270271272272273274274274274273273273274275273275275275276275275275278277278278277278276277277277277278278278277277277278279280279278280280280280278277280280280281279278276278280280277279279278276278278277278279280281280281281281281280280280280279280280281281281282282283283283283283283283284283283283283283283284284284284284284284284284284285284285285286285286286286286286285285285284283283283283282282282282281280280280281283284284284285285285285286285285284284283283283283283282282282282281281280279279279279279279279279279279279279281282282282282283283283283283283283283283284284284284285284284284284284284284284284284284284284284284284284284285284284285285285285285285285285285285285285285285284284284284284284284285285284285284284284284284284284284284283283282282282282282282282282282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999261259257257257258257258259261262263263262261261261260260259258258258258258258259257257256255255255255254255255255255257257259259261263265262267268267269270270271273270273276275277277275276276278278274276279279280281280279279279279279278278278277276276275999999999999279277999999999275273273273277278279280282283285286288289289288290289290290290289288287286286284287287285287287288286285286287288288287287286285285285283283283282280277280279279275276276276280280276276278280280279277276278279280277283283281281283286286285285285284282281282281279278281281282281282283282283283282282282283284283284284285284283283282283282280279278276279279278277276277275275276277275277277277278278278277277278277277278278279278278278279278279277278275277277275278279278277277276274274275274274272271272273272270269270269271270270271273272270273274274274274273274274273273273273273274275275275276276274275275276275275275277277275276275272274274273272269270269271269271271271272273273273274274275274274274274274274275275276276275276277277276278278278277278276278276277278278278278278278278279280280280280280280281280278279280281282280282281277276278279279278278278278277278278278279279280281281281281281282281281281280281281281281282283283282283283284284283283283283283283283282282282283284284284284284284284284284284284285285286286286285285284284284284284284284285284283283283282281282281281281282283284283284284285285285286285285284284284283283283283283283283282281281280279279280280279280279279280280280282283283283282282283283283283283283283283283284284284284284284284284283284284284284284284284284284285284284285285285285285285285285285285285285285285285285285285285285285284284284284284284284284284284284284284284284284284283283282282282282282282282282282282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999259259254256258258258259258259261263262262262262261260260260259259259259259259259259259259257256256256256256257256257259260260260263263265267267267270267271271273273274275275276276276276276278279279278277274275275279279279278279279279278278279279278277275276276999999999278999999999274274275276277279280281282283284288288288289290290290290289289288287285285286284287285283286287283286287286286288287288288288283285284282284284284281279280281280275276276275279276276278277277279279278278278279279279280280285285286286286285285281283284281283281280279279281283283283283283284283283281283284284283284285285284284285284284284282280278277279279277277277276274278279279275277278277278278279279278279279279280280280279279279280281280279279278277278278278278278279278278277276274275276274273273271271269269269269270271271273271273273274274274274274274274273274273273273274274276275275276276275274274274277277278278278277277275275276275274273270270273272271272272273273274274274274275275274274275275275276276277276276277277277277277276276278278278276276276276278277277278278278279280280281281281280281281281281280280282281281283281278279279279281280279280278278278279279280280281281281281281281281282282282282282282283283283284283283283284284284283283283283282282282282282282283283284284284283283283283283284284284284285285285285285284285284284284284283284284283283283283282282282282282282282283283284285285285285286285284284284284284283283283283283283282281281279279280280280279280280280281282283283283283283283283283283283283283283283283284284284284284284284283283283283283283284284284284284284284284285285285285285285285285285285285285285285285285285285285284284285284284284284284284284284284284284283283283283283283283282282282282282282282282282282282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999257258255258258258259258259260261263262263262263262261261261260260261260261260260260259257257257256257259259260261263262264263264265266267268269269271272272273275274276276274273274276279279279279278277277278276277277276276280279277279275277278279278277276277279278279280999999275274274275278280282283283283287286289289289290291291291291290288288286286288287287286285283284282284285287284284285286288288287286285286284285284284283281281280279279274275275277278278279279280280279279279279278279279279281282281284286286285285286283282282281280281281282282282282282283283284283283282284285284284285285285285286286286287285283281278276278279278281277276275277274277278278276277278278279279279279279280281281280280281281280282280280280280280279278278279279279278278277277277275276273273274272271269269269269269273272271272273273272273274274274274273275275275274275275275275277275276277276276277278278277278275278277276277275276276276274273273274273272273273273273274274274274274275275275276275276276277278278278278278278278278278278277279280276276276279278278279279279280280281281281282282282282283282282282281282281282283282279281280281281280279279279280280280280281281281281282282282282282283283283283283283283284284284284283283284284284284283282282282282282282282283283283283283284283283283283283283284284285285285284285285284284284284284284284284284284284284283283283283283283283283283283284285286285285285285285285284284284283283283283283282282282280279279280280280280280281282282283283283283283283283283283283283284283283283283284284284284284284284284283284283283283284284284284284284284284284284284284284285285285285285285285285285285285284284284284284284284284285284284284284284284284284283283283283283283283282282282282282282282282282282282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999253257258258258257259260261261262262262263264264262260261261260262263262262261259258257256256258259259260262263263263267266265265266268267269269271273273272276275278278277274275275279274280280279277278279279281281276277277275275276276281280279278279277280279278278999275273275276276278280281283284285285288287289290291292291290291292289290289288288289289288289287286287287286284286286284284289287288287284285286286285285284283282280281281279278275277277279279278279280280278278278278278279281279279280281282282282282285283283282281280281280283283284283282283283283283284285285285285285284284284284285286285286286285283281280279280280279276276277277277276276278278278279279277280279280279280281281282282282282282282281281281280280280280279279279280279278277277276277275274274274274272272270273274272272273271270272273272273273274272273273273273275275275274278277279274277277278278276278278278279278276277278278277278278278277276275274272273273273273273273274273274274275276276276276275276277277278278278278278277277278277277278280279276277276277279279279279280280281282281281282283282282283283283283282283281282282283280280280281281281281281281281281281281282282282282282282282282283283284284284284284284284285284284284283283284284284283282282282282282282283283283283283283283283283283283283284284285285285285285285284284284284284284284284284283284284284284283283283283283283283283283285285286286286285284284284283283284284283282283283282282281280279279280280280281281282283283283283283283283283283283283284284284284284284284285284284284284284284283283283283283283283283284283283283283284284284284284284284284284285285285285285285285285285284284284284284284284284284284284284284284284283283283283283283283283283283282282282282282282281281281282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999250258258258257258259259260261262263263264264265263261262261261260261262262260258257258258258258259261262263263264265266266267266267266267269272271271272273276275277277277277278278275275275280279277278279279279282281279279280279277279282278280277279279279278277276274276275275276276280282283286286286289289289290290292292289290291291290290290290290290289288287289287287287286286287287286285289288285285284285284285285286283283283281280283281280280276276276276277277277277277277278278277279279279281283282281283282284285284283282282281282283284284284283284283284284283283286286286285285285284285284285286285285285285283284282281280278278276277277278278278279278277279280279278279279280280281282281282282282281281282280281281282282281281280279280279279278277277276276275274274275275272272274274274274272272272272272272272273272272274274274275275276275277277277277277277277278277277278278279278278278277277279279279279278278277277277277274274274273274273273273274274274275276276276276277277278278278279279277278278279278278278279279279277278278278278279280280280281282282282281282282283283283283283283284283283283283283282282283282283282282282283283282282283283283283283283283284284284284285285285285285285285285285285284284283284284284283283282282282282282282282282283283283283283283283283284284285285285285285285285285285284284284284284285284284284284284284283283283283284283284284284285285286285286286286285284284284284284283283283283283282281280279279280280280281281282282282282282282282283283283283283284284284284284284285285285284284284284283283283283283283283283283283283283283283283283283283283283284284284284285285285285285285285285285285284284285284284284284284284284284284283283283283284283283283283283283283282282281281281281281281282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999256258258258258258259258258258258258260261263262264265265264264263261261262261260258258257257257257258258259261262262263262263264266266264265264264266266270270271273275277278277277277279277276276275277280280281282283280279279280280281280282281281279281280280279279279278279279277275275278280282285287288288289290289290290292293289292291290290290290291291289289289288288287288288287286287286287287286286286287285284288288284284286285283282283282284282281281279280276279280281281281277277277277281278279279283284284282284284285284283283282283282283285284284284283284285285285284284286285286285284285284284284284285285285284283283282283282281278276277278278278277279278278278278280278278280280280281281282282283283282281282282282283283283282280280280279280279279278277276275275276276275275274274275275276276274273272270272273273271272272272274276275276276274275276275278277276278277278277277279279279276277278278278279280279279279279279278278278276276274273275273273274274275275275276276276277277278278279279280279280278278279279279279279279278279277278279279279279280281282282282282282282282283283283283284284284284284283284284283282283283283283283284284284284283283283283284284284284285285285285286286285284285285285285285285284284284284284284284283283282282282282282282282283283283283283283283283284284285285285285285285286285285285285283284284285285285284285284284284284284284284284284285285286286286285285285286285285284284283283283283283282282282281280279279280280280281281281282282282282282282283283283283283284284284284284284285285284284284284284283283283283283283283283283283283283283283283283283283283283283284284284284284284284284284284285285285284284285284284284284284284284284284283283283283283283283283283283283283282282282281281281281281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999263260258258257255258258257256256257257258259261262263264265265264264263263263263261258257257258257255257257258257258259261262261261264262263264262262263264266268271272274277276277275278280278280280276276275276276282282282283279281278281282285284285284285284283281279279279279280279280277999280282284284287288288290290290289291293290293292292291291290290290289287288289288287287287287288287287286287287287287288287287285284289288283283284284284285283285284283282280280280279279280276277277281278281281276281281280283284282284286286284286283282282283282284284283285284285285285285284284285285285285284284284284284284284284284283283283283283282280280279279279279278278278279279279279278278280281281281281282282282282283284281282283283284283283283282280280279279279278278278277274275276274273274274277276274274276276276275274274273273272272272274275275275276278275276276277278277278277277278279279279277280278278279279278280280280278277279279279278279277277274274275274274274274275276276276277276277277278279279280279280280279278278279279278279278279278276279279279280280280281282282282282282283283282284284284285284284284284284285284284284283285284285285285284285284284284284285285285285285285285286286286286285284284285285285285286286285284284284284284284283282282283283282283283283283283283283283283284284285285285285285284285286285285285285284284285285285284284284284284284284284284284284284285286285285285285285285285285285284284283283283283283283282282281280280280280280281281281281282282282282282282283283283283284284284284284284285285285284285284284284284284284283284283283283283283283283283283283283283283283283283283283283283283284284284284284284284284284284284284284284284284283284284283283283283283283283283283283283283283282282282282281281281281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999273269267264261259258257259257256256256255257258260262263263265265264264263262262262263259258259258256256253254253255256258259258257260257258259258258258259263264266267269271273275278276276276277278279278277280276277277278279278284286281281281283284283286286287287286285282280280280280280280278999282283284286288288289290291291288292293292291292292292288289290290290288290290289287286287287287287287287288288288288288287286287285283283284284287286285285284284284282281280281280280280279277278279278278277280281282282282284286286286287286283282281282281283285285283284284284284284284284284284285286285285285285285285284285284284286284284284283282281281280279279279279279279279280279278279281279280283281281281282282283282283282282284283284284284284283281280277278278278278278277277277278277277275272276276275276276277276275275276275273273273272273274274276274275277277277277277279278277277277278279279278279278279278279280280280280280278277280280280280278277276277276275275275275274275275276276276277278278279280280281281281280278279279278280279280280279279278279279280280280281282282283281281282283283282284284284284284285285285285285285285285286286286286286286286286285286286285285286285286286286286286286287287285285285285286286286286286285285284283283284284283283283283283283283283283283283283284284284284284285285285285285284285286285284285284284284284284284284284284284284284284284284284285286286286285285285285285285285285285284283283282282283283283283282281280280280280281281281281281282282282282282282283283283284284285285285284285285285285285285284284284284283283283283283283283283282283282282283282282282282282283283283283282282283283283283283284284284284284284284283284284283283283283283283283283283284283283283283283283283283282282282282281281281281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999273273273270266263260259259258257257256256257258258259261262264264264264264264263262262262261259256256257257254252252249250251252252256257258255257257254254258263264266265268269271273274274275277276277278280278278277277277278278283283284284283281284284284284285285286286288287286282281282281281280282279285283285286288289290291292291292294294293291290291292290291292292290289288288285285285286286286286286287288288288288288286285284284289288286286287286286286286286285284283281278278278279279279279278279280280281283284281281282284286286286285283282284283283285284283284284284285284284284284284284283285285285284285285284284285285284284285285284284282281281281281282280279279279279280280278281281281281282281281281281282283283283282282284284284284284284282280278276277279278278279278277277276279279277274275276277278277277277276276275275276274274274273275276275275276277275278277277280278277277278278277278280278279280279279280280280280280281278278278279279278277278278277275276276275275274275275276276278278278279280281281281281280279278279280280280280280279279279280280280280281281282281281282282283283284284284285283283284285285286286286286286286287287287287286285286287286287287286286286286286286286286286286287286285285285285286286286286285285284284283283283283283283283283283283283283283283283284284284284284284285285285285284284285286286284285283284284284284284284284284284284283284285285285286286286286285286286286286286285285285285284283283283283282283283283282281280280281281281281281282282282282282282283283283284284285285285285285285285285285285285285284284284283283283283283283283282282282282282282282282282282282282283283283282283283283283283283283283284284284284283283283283283283283283283283283283283283283283283283282282282282282282282281281281281281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999273271268267269266262260257257259259257259258257258259260261262263264264264264263262263262260260259257255256255253251250249250250251253252252253252254254256255258257262265267268272273275274278278277276280281280279278279278278278278279279280279280283281285285284284285285286286285286285282999283281280999281285285285285288289290291291292294295295292291288286286290291292291291289289290287285284285285285285286287287287288288288288285285285287286289288288286288287286286286285284284283282282280279281281279281282280282285282281281284285285286286284282285283283285285284285284284284284284284284284283283283285285284284286285284284284285283284285286285284282281282281282282280280279279279280281281282282281282281281282282283282283283283282283284284284284283283282281277276279279279279279278276277277277276277278277277277279278277278277277276276276276275275278275275275274274277276277276276276278277278279279278279278279279280280280280278281281281280278278280277279278278278279278276276276276275275274275277278278278280280281282283282281281280279280282280280281281279280280281281282282281283282281282282283284284284284284284283284285286286286286287286286287287287286287287287286287288287287287287287287287287287287286287287287286286286286286287285286285284284284283283283283283283283283283283283283283283284284284284285285285285285285285285285286286286286285284284284284284284284284284285284285286286286286286286287286286287286286286286285285285285284284283283283283283283283282281280280281281281281282282282282282282283283283283284284285285285285284285285285285285285284284284284284283283283283283283282282282282282282282282282282282283282283282283282282282282282282283283283283284283283283283283283283283283283283283283283283283283283282282282282282282282281281281281281281280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999269999269264273272267269270263265263261258258257259257259259258258259260261262263264263264264264263261260259258256255254255251250249249248250247247251252252252251251251251254254256260265268271272272274275277278278279277280281281280280279281281282279283279282283283281286285285284286286286286286283284999999999281279276283286286285288289290290291292293295295295293288289286288287291292292291289290289285285285284284285284284285287287288287288285284287286284288287287288288289288287287286286286285285285284284283282283283283281281281281284282283285286285286287284283283281284285284284284285286285285285285284283284284285285284285285285284283284285284284285285285285285283283283283283281280280281281281281282282282282281281282282282283283283282284284283283285284284284283284282283281280280279280279280278279278277277275278276277278278279278279278278278277276277277277277276275276275274276277277276276277276278278278279279279279279280280280280280281281281280278280281279280278278279278278278278277275276275275274275276277278278279280281282282282281282282282281281281281280281280281280281282282282282282282281281282282283284285285284284284284284285285286286287287287287287287286287287287289288288288287288287287287287287287287287286286286287287286287286287287286285285284284284284283283283283283283283283283283284284284284284285285285286286285285286286286286286286285286285284284284284284284284284285285286286286286286286287287286287286286286286286285285285285285284284283283282282283283283282282281280281281282282282282282282283283283283283283284284285285285285284285285285285285285284284284284284284283283283283282283282282282282282282282282282282282282282282282282282282282282282282283283283283283283283283283283283283283283283283283283283283282282282281281282282281281281281281281281280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999270265268271272999999999250256261260258260260258259258257260260260261263264264264264264263262261261259258256254253252250252252250248247245245251252253253252252253254254255257260264269271272272274275276278278279280280280281280281281280279282283283283283281280284284284286285282285285285286283285282999282282280280284285285287288289290290291292294295296293291290287287288286289291292291289291290288288285284283285285286286287287287287287287287287286286286288287288288288288288287286287286286287287287286285284285283283282282283282283283285286286286287286286286285282284284284285285286285285285285284284285284284283284284284284284281284283284284284284285285285285282283283282283284281281281282282282283283282281283283283283283283283283283285284283283284284284284283284284283283282281281281279278279280278279280280277276278279279278277279278279279278277280278278278277277275275276278276276276277277278278278278279278279279281281280280280280281281280281279281279279278278278278279279278277277277276275275275276276276278279280281282282283282282282282282281281282281281281281281281281282282283283283282281281282283284285285285285285284285285285286287288287287287288288289288288288287289289289289288288288288288288288287287287287287287287287287287287287287286285285285285284284284284284283283284284284283284284285285285285286286286287287287287287287287287287286286285285284284283284284284284285285285286286286286286286286286286287286286286286286286285285285285284284283283283283283283283283282282281281281282282282282283283283283283283283283284284285285285284284285285285285285284284284284284284283283283283283282282282282282282282282282282282282282282282282282282282282282282282282282282282283283283283283283283283283282282282282282282282283282282281281281281281281281281281281281281280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999262262262263999260258259258258259258261263264264263264264263261260258258258258256254254254253252251252248247248251254253254254252253255258260261263266270271272273274273275276278279279279280280281281282282281283283285284285285283284285285285285287284285287286285283284284283283281281284285286287287289290290291293294295294294292289292290290289289287291291291291290288289285284283284282285286286287288288287287288287287288288288288288289288288288289288288287286287287287285286285283283283284285285284284285286286286287287288287285283284284285285285285285286285285285283284284283283283283283282283282282282283283284284284285285285284284284283283284283285283283283282282283283283282281282283283283283282283282283283284283284284284285284284283282282282281281281279279280280280280281279278279279279279278279279279280281279279278277279278278277276276276276276275276276276278277277278279279279279280281279280281279281281279277280279279280280278278278279280279278278277276275276276277277278279280281282282282283283283283282282282282282282281282281281282281281281283283282280283282282283285285285285286285285286286287287288288288288288288289289289290289289289289289289289289289288288288288288288287287287287287288288287287287287286286286286286285285284284284284284284284284284285285285286286286287287288288287288288288287287287286286286286285285285284284284284284285285285286286286286287287287286287287286286286286286286285285285285284284283283283283283283283283283283282282282282282282282282283283283283283283283284284284284284284284284284284284284284284284283283283283283283283283283282282282282282282282282282282282282282282282282282282282282282282282282282282282283282283283283283282282282282282282282282282282282282281281281281281281281281281280280280280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999264264264263999999999259259260260261262263263263263263263262261259259258257257256255255254255255255254254254255256256256256257257258260262263265265267271272275274273277276276277279280280280281282282281281282283283284283285284283283286287287287287285285286286285286286286287286285284285285288287288290290290291292291295295294293291290290290289289290290291290290290290286286284284284285285286286286287287287288288289288287288288287289288287287287286287287287288287287287286285283283283284284286284285285286286287287287287287285285283284285284284285285286286285284283284284284284284283282282282282282282283283283283284283284285284283284285285284284282283283283282283282282283283283282282283282283283282282282282283284281283286285285285284281281281282282281281280280280280281280279278279278280279278279280280280279279279279279279279277278276277277277275276275275275276277277278278279279278278279279280281281281280279279278280279280279280280278279279279279279278277277276276277277278279280281281282282282283283283284284284284284283282282282282282282279281283283283283282283285284284285285285286286285286287287288288289289289289288289290290290290290290289289289289289289289288288288288288288287287287287287288288287287287287287286285285285285286285284284284285285285285285285286286286287287287288289289288289289288288288287287286285286286285285285284284284284285285285286286286286286287287287287287287286286286286286285285285285285284283283283283283283283283283283282282282282282282282283283283283283283283283284284284284284284284284284284284284284283283283283283283283283283283283282282282282282282282282282282282282282282282282282282282282282282282282282282282282282282282282282282281281281281281281282282282281281281281281281280280280280280280280280279279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999263263262999263258260260261262263263264263262263262260259259258257257257257257256255258258258258258259258259259259259261262264265266266268268272273274276276275277277277279278281282281283282281281282282285286285283285284283286287288287287285284286285287289288287287287288287286286287288288290291291292293294294295294294291291292290291291290290289289289290289286286285285285285285286287287287287288288286288288286287287287288288288287287288288288288287286287286286286284285285286285286286286286286286288288288287288285285286286286285284285287286286286285284286286285285285283283281283282282284284284284284284284283284284283283284283285284282283284284283284283284283282283283283281283283283282282283282286285285286285283285285284283281282281281281281280281281281280281282282280280279282279280280279281281279278279280279280280278277277277277278277276275277277277277278278279279278279279279281282282280279280280280280280280280279279278279279280279279278277277277277278278279280280281281281283282283284284285283284284284285284283283283282283283283282283283283284284285285285286285285286287286287287288288288289290290290290289290290291290290290289290289289289289289288289288289289288287287287287288288288288287287287286286286286286286286286286285285286286286285286286286287287287287288289289289289288288289288288288287287286286286285285284284284284284285285285286286286287287287287287287287286286286286286286285285285285285284283284283283283283283283283283283283282283282282283283283283283283283283284284284284284284284284284284284284284283283283283283283283283283283283283283282282282282282282282282282282282282282282282282282282282282282282282282282282282282282282281281281281281281281281281281281281281281281280280280280280280280280280280279279279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999262262258257260261261262262262263263262261260259259259258257257257258257258259258256257258258257258258258260261262263265266267268269270273273275275275276276277279279280280280283281280282283284286284284285281284285284284286286287285284285286286289287288289289288288287287287287289289289290291292291293294294295295293292292292293291288288290289289290289286286287286285285286287288288288287289287287287286287286288288289289289288288289289286288287287287287287287287286287287288287286287287286288288289288287287287287287286286287287287288287286287287286286286287285284284283282282284284284284284285284284285284285286285285285285284282283284284285285285285283283283283283282282282283283282282283283284285283286283286285285283283281283282282282281280282280282281281282279280279280283280280280280281280278278280279280283282279279278278279279277276277277277278278278279279279279279279279279281281279280280280280280280280279279279278279280280280279279278278277278279279280280281282281282282284284284284283283285284284285285285284284284283282282283283284284285285286286286286285286286287287287288288288288289291290291290291291291290291291290289290290290290290289289289289289289289288288288288288288288287288287287287287286286286286286286285285285286286286286286286286287287288288289289289289288289288289288288288287287286286286285285284284284284284284285285285286286286287287287287287287286286286286285285285285285285285284284283283283283283283283283283283284284283283283283283283283283283283283284284284284284284284283284284283284284283283283283283283283283283283283283283282282282282282282282282282282282282282282282282282282282282282282282282282282282281281281281281281281281281281281281281281281281280280280280280280280280279279279279279279278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999268266266261259260260260260261261261262261260259258258258258257257257257258258258257258257255256258257258261261262262263265267267268268269271274275276276275275275277279280280281281281280280281284286286287288288285286285285284284286286282286286287286286287287288288288286287289289290289289289288290290292295295296294294293293292291291289288290291290291289290289288288284284288286288288288288287289289289289288288288289288289290289286288288288288286286288287286288287288288288288288287288288288288289289289287287288287286286285287287287288288287287287287286285285285285284285285283283285284286283285284285285285284285286285286285284285284283285286285285286285284283283283283282283280282282282282284283285286284286286284285285284281281283282282280280279282282281281281281282282282282282279280280279279278278280280280280282282280279277279279279278277278278278278278278278279279279280278279280280280279280281280279280279279280279280280280280280280279279278278278279279280280281282283283284285284284284284284285286286284285285285285285284284284282283284282284285285286286285287287286288287287288289289289290288290290291290292292292292291291290291291290290290290289289289289289289288288288288288288288288287287287287287286286286286286286286285285285285285285286286286287287288289289289289289289289288288288288288287287287287286285286285284284284284284284284284285285286286286287287287287287286286286286286286286285285285285285285284284284283283283283283283283284284284283283283283283283283283284284284284284284284284284284283283283283283283283283283283283283283283283283283282282282282282282282282282282282282282282282282282282281282282282281281281281281281281281281281281281280280280280280280280280280280280280279279279279279279279279279279279279279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999272269266263259261260260260260260261260261259258256255255255256257257256257257258258258259259258262262260262264265265265266266268269270270270272273275275276275276279279280281281279282282282283284284286288287287286284283286285284287287285283286287287287285285288289287288288288288288286288289287288288291293295295296295294294294293293290292290291291291291291290290289287288287288287287289288288289289288289288287289289289290290290290288289289288288287287287288287286286286288289289288289289289288290290289289288287286286285286287286286288288288288287287286286286286285285285285284286284285285285285285284285286286285285284287286286285285285284285286286286286284284283283283283282282280281281281282283284283283285286286285285285284282284282281280280280280282282281281282281280281281281280281280280280280280280278281280280280281281280280280280278278279278278278277278278279278279279280279280280280281280280280281280280280280280280280280280280280281280279279278279279281281281282283283284285285285284285286286286286287285286285286286286285285284284285284284285286286286287287286287286288288288288289289289289290291291291291292292292292292290291290291290290290290290289289288288288288288288288288289288289288287287287287286286287286286286285286285285285285285286286286287287289289290289289289289288289289289288288286287287287286286286285284284284284284284284284284285285286286287287287287287287287286286286286286286286286285285285285284284284284284284284284284284284283283283283283283283283283284284284284285285284284284283283283283283283283283283283283283283282282283283283283282282282281282282282282282281281281281281281281281281281281281281281280280280280280280280280280280280280280280280280280280280280280280279279279280280279279279279279279279279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999271999999265263262262261260259260260260259258257255253252252253255256256256257257258258258258260259263264263265266266267268267268270272272272271271273273273275276277280280282279279278282282282284284285284287285286285285286285286286286286286284284286283286284287287289289287288287288289289289287287288288293293294295293295295295293296293291292291291291292291291291291289288289287289290289289288289289289289290289289290290290290290289290291290288287287288287287288288287289290287290290290290290289289289290290289287287285286283284286287288289289288288288287286286287286285285285286286287286284284286285285285286286286286287286286287286287286287287286286286286286285284282283283283282282281282281281281283283284283286286286286286285285284284283283283282282280283282282280281282280281280280281281280281280281281279277280280280280281280280280281280280278278278278278278278277278279279279280280281281281281280280279280280280281280281280280280281280281281280279279279280278281282282282283284285285284286286286287286287287287286286287287286285285285286286285285286286286287285287287287287287288289289289289289289290291290291291291291292293292292292292291291290290290290289289289289288288288288288289289288288288288287287287287287286286286286286286286286285286286286286287287287288289290290290289289289289289288288287286286287287286287286286286285284284284284284284284285285285285286287287287287287287287287286286286286286286286285285285285285285285285285285285285285285284284283284283284284284284284284284284284284285284284284283283283282282282283283282282282283282282282282282282282282282281281281281281281281281281281281281281281281281281281281281281280280280280280280280280280280280280280280280280280280280280280279279279279279279279279279279279279279279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999272999999999268267264261262261260259259259258256255255253253253253254254255256257258258259260260260260261264266267266266265267268268271273272273272272272275274274276277279280281282282282282282284285285285286286286286286286285287288286286285286285286287284284284285284288288286287290286287289289290288288291292294295296295294295293294295294294295294290292290292291291289290289290289289291291291291291290289290291290292290289291292291290290290291291290290291290289289289288289290291291288287290288288289289290291291291289288287285283285288289288289289288287288286285286286285285285285285286286285283285285285285287286286287288287287286288287286287287286286286285285286285284283283283282282282281281280280282283282282284286285287287285285284285284284284283282280282282283282280280282281281281280281282281281281281280280280280281281281282281280281281280280280279279278278278278277277278280280280281280280281280280279279280280280280281280280281281280281281281281279280280281280282282282283284284285285286286286287287287287285287287287288288287286286286286286286286287286287287286288288287288288289289289289289289290291290291291290290291292293292292292292292291291290290290290290290289289289289289289289289288288289288288287287287287286286286286286286286286286286286286287287288288289289290290290289289290289289288288286287287287286287286286286286285284284284284284284284285285285285285286287287287287287287287287286286286286286286286285285285285285285285285285285285285285284284284284284284284284284284284284284284284284284284283283282282282282282282282282282282282282282282282282282282282282282281281281281282281281281281281281281281281281281281281281280280280280280280280280280280280280280280280280280280280280280279279279279279279279279279279279279278278278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999271267264263262262259258259257256254253252254255254255254254255257258258260262262262262262264267268268266266266267268274275274274273273273275276275276277277279281280282282279282282285287286286286285285286287287286287288285286287286286286287286285287285285285284286287288289285289289289287290290291293297296294297295295296296295295297294292293292295290290291292292292289292291292292292292293293293290291292291291291292292292291290291291291290292292291290290290290290290291291289289290289288290290289292289287287285284285289289290289289289288288287287286286284284284284284284286286284285286286286286287287287287287287286286287286286287287286286285286285286285285284283282282282282281282281281283285283286284287286287286286286283285285285285284282283280283283282280280281282280282282281281282281280280280280280281281281282282281281281280280281280280280279279279278277278279280280281281281281280280280280281281281281280280280280280280280281281281280280280281281281282283283284284285285286286286286287287288288287288288287288287288287286286287286286286287287287287288288288289288289291290290290290291291291291291292292291292292293293292292290292292291291290290290290290289289290289289289289289289289288288288287287286286286286286286286287287286287286286286287287288289289289290290290289289288289288288287287287287287286286286286286285285285284284284284284284284285285285285286287287287287287287287286287286286286286286285285285285285285284285284285284284284284284284283284284283283283283283284284284283284284284284283283283282282282282282282282282283283283283282282282282282282282282281281281281281281281281281281281281281281281281281281281281280281281280280280281281281281280280280280280280280280280280279279278278279279279279279279279278278278278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999274999999999267266263262261260258260256254253253254256257257256255255258259260262263265265266265265267268269269268268270270272274275276275277275273277276275276278279280281282282282282281283282286287287287286286287287287287287288286285286287287286286286289284285285286284287289287286288289289289286289290293293295297296296295296297297296294295295293294292293291290292291292292291289294293294294294294293294293292292291292292293292292291290292290292291292292292291291289290290289290289290289290289289291290289291288286285288285289289289290289289289288287287286286286285285285285285286285284285285285286287287287288288287286285284284285285286286286286286285285285286286286285284283283282282283283282282283283283285285283287287285284285286286285285285284284283281281283282282282282282279281282281281282281280280280281282281282282282282281282281280281279279280280280279279279278279279281281281281280282281281281281281281281280280280280280280280281281280280280281281281281282283283283284284286286286287287287288288288288288289289288289288288288287287288286287288287288287287287288288288289290290289289290291291291291291291292292291293292292292291290290291291291291290290290290289289289289289289289289288288288288288288286286286286287287287286287287287287287287286287287288289289289290290290290290289288288288288287287287287287286286286286285285285285284284284284284284284285284284285285286287286286286286286286286286286286285285285285285285285285284285285285284285284284284284284284284284284284283284284284283283284284284284284283283282282282282282282282283283283283283283283282282282282282282281281281281281281281281281281281281281281281281281281281281281281281281281281281282282281281281280280280280280279279279278279278278279279279279279279279279278278278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999276279278269999266265263262261260259260258255255256257257257259259259259260262263263266267267268268267269269270270269270271272274274275276276279277280280279280278280280281282283282282282282284284286287288288285288288288289289288287286287287287287287288288287289290289289286288287287289288290289289290290292294293296296295295295296295296297295296296296295295295295291292293292293293293293293295294294294294294293292293293294294295294293292291290289291291293292292292292292290289290291290290289289288289292288291291287287287288289290288289288289288288288288287288287287286286287286285286286285286286286288288287289288286287286285285286287287286286284285285286286286288287288288286284285284282284281281284284284284285286286285286285284286286286286287286286286283282283285285282281281280280281282281281282281280282282282283283282282282283282282282280280280280280280280278279279279279280280280282281280281281282282282281281281281280281280280281281281281281281281281281281282282283283284284286286287288288287288288286287288287287289289289289288288287288287287287287287287287287288289289289290289290291289291291291291291291292292292291291292292291290291291291291291291291290290289289289289289288288289289289288288288288288287287287287287287286286286286287287287287286287287288289289289289289290289289290288287287287286286286286286285286285285284285285285284284284285284284284284284284285286286287287287287287287287287286286286285285285285285285285285285285285285284284284284284284284284284284284284284283284283283283284283284284284283283282282282282282282282282283283283282282282282282282282282282281281281281281281281281281281281281281281281281281281281281281281281281281281281282282282282281281281280280280279279279279279278279279279279279279279279279278278278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999271268265265265264263261260260260257255257258256257258260262263263262262265266268267269269270270270272271271271272272273275277277277278277278279283282281279281283282283281282283282283286286288288288287287289290289289288289289289289289289288288289287288289291290290288291290290290289289290291290292293294294296298295295297296296297297296296296294294294295296293293294293292294294294293294294295293293293294294294294294294295295294293292292291290291292293292293293290291291291291290291289291289288292291288287287287287288289290288287288288288288289289288287288288287287286286285286285285287287288288287287289289288287286286286288287287287286287286286287287287288288288287287286286285283284283283285285285286286285285285285285286287287286287287287287286285285284284284283283282279279281281282282282282281282282282282283282282283283281280280280281282281279278279279279279280281281281282281282282282282282282282282281281281281281281281282282281281281281281282282282282283283284284286286287287287288288288287287288287288288289290290289289289288288288288288287288288287287290289289289290291291290291291291291292291291292293293293292293293291290291291291291291291290290290289289289289289289288288288289288288288287288287287287287287287286286286286287287286286286286287288288288289289289289290290289289288288287287287287286286286286286285285285285286285285285285285285285285285285285286287287287287287287287287287287286286286286286285285285285285285285285285284284284284284284284284284284284283283283283283283283283283283284284284283282282282282282282282282282282282282282282282282282282282282282281281281281281281281281281281281281281281281281281281281281281281281281281281281282282282282282281281280280280279279279278278278278278279279279279279279278278278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999270267265264264263263261260260258256256258258259258259261263264264265265267269269270270270272272272273272272271276274274276278280278278279279282282281281282284284284284284283282283284287289289288288286287288288289288287288288288288288289288289291291288291291291290291291290289290290290290292292292293295295294295296297297298297297297297297294294294294297294294294294295295295296295295294294296297296294295295295295295294296295293293294294293292293293293294292290293291290290291290290290290292290289291289287287290289288289288286286288287287288289289288288289288287287285285288286284286288289289289287287288289288287286287287287288287288287288288288287286287287288288287287287286285285285284284285285286286286286286286287287287283285286287286287287286285285285283283283284283283279279282280279280282282282282283283283282282281281281281281280283282281280280280280280280280282282282283282282282282282283282282282281281281280282281281282281281281281282281282282282283282283285285286286287287289287288288287287289288289289289289290290290290290290289289289289289288289288288289289289290290291290290291290292292291291292292293292292292292290290291291291291291291291290290290289289289289289289289289289288288288288289289288288288288288288288288288288288287286286287288288288289289289289289290290290290289288287288287287287286286286286286286286286286286285286286286286286286286286286286287287287287287287287287287287286286286286286285285285285285285285285284284284284284284284284284283284283283283283283283283283283283283284284284283283283282282282282282282282282282282282282282282282282282282282282282281281281281281281281281281281281281281281281281281281281281281281281281281281282282282281281281281281280280280279278279279278279279279279279279279278278278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999268266264263263262262260259258256255257257258258259259261263265266266267268270271271271272273271273272272273274275276276277278278280281283284285283282283284285285284284284283285283284286289288288287285286286287287287287286288287286287288289289289292291292291292291292291291290290291292293291292293293294295295296297298298299299299297298298298296297297297293295294294296296296296295295295296296296296295295296296296295295295293293295296295294293293293294294292291293293292292291290291289289291288287290288288287291289286289287285287287286288288290287288289290290288287286285288287285287288289289289287287287287287287287289287288288288288287289288288288286287287289287287287286287285286285285284285285286286286286286287287287288288287287287286287287287287284284282283283283283283283281280281281281282282283284284284283282283282281281282282282283282281281281280281280281281281281282283281281282283283282282281282282281282281281282282282281281281281281282282282282283283285285286288286287287288287288287288288290289289289290291291291291290291290289289289289288288288288288289290289290291291292291291291292292291292291292292293293293292292291292292291292291291291291290290290290289289289290289289290289289289289290289289288288289288288289288289289289287287287287288288289289289289289290290290290290289289288288287287287287286286286286286286286286286286286286286286286286286286286286287288288287287287287287287287287286286286286286285285285285285285285284284284284284284284284284284284283283283283283283283283283283283283284284283283283283282282282282282282282282282282282282282282282282282282282282281281281281281281281281281281281281281281281281281281281281281281281281281281282282282282282281281281281281280279279279278278278278279279278279279278278278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999265262262262262262261259259257255255256256257257259260262263266267267269270271271271272273274272274273274276277278278277278277278280281282283284282284285285285286286286286285285287285287288288288286285285285285285286285288288287286287289290290291290291290290290290289289290290290291291292291292293294294296295297296298298299298298297298298294298298298298295295295295294297297297294295295296297297296296296296297296296295296294295295296295294294293293290292292291292291292291290290290290290289287286287285287292290286287288286286287287288289289288288288288287290289287288287287288286288289289289288286287286286287287288287287287288289289289289287288289288287288288287286288287286287286285284287286285286287287287286287287288288288288287287288288287287287287284285283284283284285284283282281282282283281283285285284283283283282282282283283283282282282282281281282282281281281282282283283282281282282282282281282282282281281282282282282282281281280282282283282282283284285285286286285286286288286288289288288289289290291291292291291292291292291291290290290289288289289288290290290290290291290290290290292292292292291292292293292293293292292292292291292292291291291291291290290290289289289289290290289289289289290289288288288288288288288289289289289288287287288288288289289289289289289289289289289289289289288288287287287287286286286286286286286286286286286286286286286286286286286287288287287287287287287287287287287286286286286286285285285285285285284284284284284284284284284283283283283283283283283283283283283283283283283283283283282282282282282282282282282283282282282282282282282282282282282282281281281281281281281281280281281281281281281281281281281281281281282281281282282282282282281281281281281281280279279279279279279279279278279279278278278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999268264264260262262261261260260259257255255257256257257259260263265267268268271272273271272273275274274275276278278279280279281278278278280282283284285285286285285286286287286285282285288287289289288289286285284285286285286288289289289289288288289289291291290291291291291291291291290291292292292293293294295296296296297296298298299299299299299298296296296296297297297296296298297295297295296296297297298297297296296298297296297297297295294297295295295294294292292290292292291293292293291290290288290287286286287287291290288287287286288287287289289290289288289287289289288288288287286288288288288289289286286290288287286288287289288288288289289289288287288289288288288286287287288287289287286286285286286286286287287287286287287287288288287288287289288288288287287285285284283283283283284284281281283282283285286285285284285284281284283282284284284283283282282282282282280280281281283283283283284283282282282281281281282282282282282282282281281282281281281282282283284284283285285286287287285288286287288289288289291290290291291291292292293292292292292291290290290290290290289290291290289290290291290290292291290291289290292293292293292292292292292292292291291291291291291291291290290289289289290290290290289289289289289288288288288288289289289289289289288288288288288288289289289289289289289289289289289290289289288289288287287287287286286286286286286286287287287286286286286286286286287288288287287287287287287287287287286286286286286285285285285285284284284284284284284283283283283283283283283283283283283283283283283283283283283283283283283283283283283283283283283283282283283283283282282282282282282282281281281281281281280280281281281281281281281281281281282282282282282282282282282282282282282281281281281281280280279279279279279279278279279278278278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999263262260261261261260259259258257256256258258258258259261265267268269271272273273272272275276276276276278279280280280281280279279279281283284285286287286285284286286286287286286285286288290288289289287286286286286287287288289289289289288286284289291292290291291291291292291292292291292293293293294295296295296297297297297298299299299300299298296296297297297298298297296296296296297297297296296299298297297298297298298297298298298296295298296295295295295294294291291291291293291292292290289290291288287287287290291289287286287287287288290290291290288291291289290290289289289289289290290289289289290287288288286287287288287287288288289289290289288288289290288289288287289290289288288287287287288287287287287288287287288289288288289289289289289289285288289288286287285285285284284284284284283284284284286284287287287284286283284284284283284284284283283283282283282282280280282282283283283283283282283284281281282282281281282282281282282281282282282281282282283283283284285286286288287288288288287287289288289289291290292292292292293293292293293293294292290290290290290290288290291290290290289290290291292291291290288290293292292292292291292292292291292291291291291291292291291291290289289289290291290290289288289289288288288287288288288289289289289289288288288288289289289289289289289289289289289289289290289289288288288288288288287287286286287287287287287287287287286286286286286286287287288287287287287287287287287286286286286286286286285285285284284284284284284284284283284284283283283283283283283283283283283283283283283283283283283283283283282283283283283283283283283283283283283283282282282282282281281281281281281281281281281281281281281281281281281281281281282282281282282282282282282282281281281281281281281280280280280280279279279279279278278278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999262261259260261261260259259258257257256258259260260261265268269270272273274274274273274275276278278278279280280281282281280280281281283284285286287287287286284287286285287287285287290290290289289288287287286287287288287286287288288287286285289285287290288290291290291292293294293293291290289294295295297296297297297298298299300301300299300300300300298299299299298298296296297299298297297298298298298298299299299300299299300298298298297297297296296296296296292291291292291292292292292291291289292288289288291290290288287287287287288289290291291290290291291290289290291291290291291290290290289289290288286287286286287289289289290289290289289289290289289288289290289287288289290290289288288289289289287289289289289289289289289289290290290290290289289289289288288286287286285285283284285285285285284284285285287287287285285285285284285285287285284283283284283284284282283282282282284284284282283283281283281281281282281282282282282282281281281282282282282283284284285285285286287287286287287288289289288289289290291291292292292293292293293293293293293291291291291290291290289290290291290289288289291291291291290290289291293293293292292292291292292291292292291291291292292291291291290289290289290290290290289289288289288288288288288289289289289290290289288288288288289289289289289289289289289289289289289289289289288289288288288288287287287287287287287288287287287287286286286286286286287287288287287287287287287287287287286286286286286286286285285284284284284284284284284284284284284283283283283283283283283283283283283283283283283283283283283282282282282283283283283283283283283283283283283282282282281281281281281281281281280281281281281280280280281281281281281281281281281281281281282282282281281281281281281281281281280280280280280279279279279278277277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999261260261260261261260259259259257258259260260261263265268270272273274276276276276275275277279279279279279279281281282281283282283284284285287287287287287287286287287289289289289289289290290289288288287287287286287287287287286286285285999999286288289289291292292293292291290293294292294291292293294295296297297298298299299299300300300299300301297297298299299299299298297297298298298299300300300299299298299299301301300299299298298297299296295297296295296295292292292293294294293292292291292291288290289291290289288286286287287290287288290290289289290289291290291289292291291291289291292290289290289287287284286285286287286288289289290289289289290289290290291290290290290289288290289289289291291290289289289289289290289289290290290289290290290289289289290286287287287285285287285285286285285285285285286286288285287287287285284286285286287285285283284285284284284284283281281284284283284283283283283282281281282283282281281282280281282281282282282282282284284285285286286286287287288287287288288288289289290290291292292292292293293293293294294294294292292291291291291290290290290291290290290289291292292290292292290290294293293293293293292293292291291292292291291291291291291291290289289290290290289289289288288288288288288289289289289289290290290289288287288289289289289289289289289289290290289289289289289289288288288288288288288288288287288288288288288288287287287287286286286286287287287287287287287287287287287286286286286286286285285285285284284284284284284284284284284284284284284284283283283283283283283283283283283283283283283282282282282282282282282282282283283283283282283283282282282282281280281281281280280281281281281281281280280281281281281281281281281281281281281281282282282281281281281281281281281281280280280280280280279279278278277277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999265999999268267264261261261261260260260259260259260260261262263265267270272275275276277277277276276276278280280280280280280281282283283283283285285286287288287287287287287287287290290290290290289290291290289288287287287287287288287287287285285288999285287289290291291292293293294292292292291294293294293293293296295297298296298296298300300300299298300301301297298299299299300300299299299299300299300301301300301299299300300301301301300300299298297298298296296297296296292292294292294293294294293293294293293289290289288286288287286287288288287288289288289288289289291290290291292291292291289290291290290290290290287286284284286285287286288290291291289288289290290291290290290290290289291290290289289290291291290290290290290290290288290290291291290289290290289289289289289288288286288286286286287287287286285286286287286287286285285287287284286286286284286285285286284285286285282283282282282282282282283282283282282283283282283283282282282282283283283283283282283284285286286286287287287288288287287287287288289289290290290292292293293293294293294294294294294294293292292291291291291290290291290290290291289290291291290292293292290294293293293293293292291292291292292292292291291291291291291291290289290290290289289289289288288288288288289289289289290290290289289288287288289289289289289289289289290290290290290289289289288288288288288288288288288288288288288288287288288288287287287287287287287287287287287287287287286286287286286286286286286286285285285285284284284284284284284284284284284284284284284284284283283283283283283283283283283283283283282282282282282282282282282283283283283282282282282282282282281280280280280280280280280280280280280280280280280280280280280281281281281281281281281282282281281281281281281281281281281281281280280280279279278278277277277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999267999272268266263262262262260261261261261262261262263263265266269272274276277277277277277277276276276278280280280280280280281282283283283284284285286287287286286286288288288289291291291291291290290290290288287287287286287287287288287288287284289284285289290290289291293294294294293292295294292293294293295294294294297298298298297297300300298301298301298298299299299300299300300300300300299299300301301300301301300301302301302302301301301300297301299298298296295293293295294295294295294294294292294291292289290288289288287287286287287289288288289288289289290292292291290288293292292293293291291291290291291290290286285288286285286286288289289290289290289290290289289290290290290290290290291290290290290290291290291290291290289290289290290291291291290291290289290290289290288287287287286287287287288287287286286286289288288287286285287288287286287287286286285285284285286286285284283282283282281281281283282284284283283283283284283282284282283283284284283283283284285285286287287287288288288288287287288288289289289289290290291292293293294294294294294295295295294294293292291292291291292291291291290289289289289291289290292293292292293292292293293292292292292293293293292292292292291291291291291291290289290290290289289288288288287288288289289289290290290289289288288288288288289289289289289289289290290290290290289289288289289288288288288288288288288288288288288288288288288288288287287287287287287287287287287287287287286286286286286286286286285285285285285285284284284284284284284284284284284285284285284284284284284284283283283283283283283283282282282282282282282282282283283283283283283282282282282282282280280280280280280280280280280280280280280280280280280280280280280281281281281281281281282281281281281281281281281281281281281280280280280279278278278278277277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999276273268268265265264263263262261261261262264264264265266267269271275276277276276277278277277276276276276277279280280280280280280281282282284284285285286286285284286287288289290290291291291291292291291291289288288287287287288287288288287289289286289284288290289289290291293293293293295294295292293294294293293295294295295296298296296297298298298299301301298299298299300300300300299300300299299299300301301300300301301303303302302301302301301299297298299299298296296297298297296295296295296294294295294294291292289291289288287289289288289289288289289289290290291291291289291292292292294294290292290291291291290290291289287287286285285286288288289290290288288289290289289291291291290290290291292291291291291291291291289292292291290290291291290291291291291291290289287289288288289287287290288288288288289288287287288288288288287288289288288287288287287288286286286287284286286286285286283283283282282283282284284284284284284283284283283282283283283282283284283284285284285285287287288288288288287287288288289289289289289290290290291293294294294294295295295295295295295294294294292292291292291291291291290290289287289289290291292292292291290293292292293293292293293294293293293293292292292292292291291291290290290290289289289288289288288288288288289289289290289289288288288288288289289289289289289289289289289290290290289289289289289288288288288288288288288288288288288288288287288288288288287287287287287287287287287287287287286286286286286286286285285285285285285285285285284284284284284285284284284285285285285285285285285285284284284283283283283283283282282282282282282282283283283283283283282282282282282282281280279280280280280280280280280280280280280280280280280280280280280281281281281281281281281281281281281281281281281281281281281280280280279278278278278277277277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999278274270269267264264263263262261261263265266267268268269270272273275277277276276277278278277276276276276276277278279280280280280280280282283283284285286285285284285286287288289290291291292292291292291291291289288287287287288288289289289288288289289287287290289290291292292292292293295294295293293294293294294295293295296296296296296297297298298299299299301299299298299299300300300299301299300299299299301301300300301302303303303303302302302301298298298298299298296295298298296297297296296296295296296294293292292290291290289288290289289290289290289290289290291291291291290291291293293293292292295292291291291290290289288286286286285284287287288290291289291290290289290289291291291290291290291291291291291292291289292290290290290290291291291291292291291292292292288288289288289289288289290289289290290289288287287288289289289288286289288288287287287288287286286287287286286287286287286286285283282283283283284284284284283285285284285283284285284285284284284284283284286286286287288288289288288287287289289289289289289290290290291292292294294295295296296296296296295295295295294294293292291291292291291291291290288290291290292293291290291292292292293294293294294295293295294293293292292292292292292291291291290289290289288289288288288288288288289288289289289289288288288288288288289289289289289289289289289289289290290289289289289289289288288288288288288288288288289288288288287288288288288287287287287287287287287287287286286286286286286286286286285285285285285285285285285285285284284284285285285285285285285285285285285285285285285285285284283283283283282282282282282282282282283282283283282282282282282281281281280280280280280280280280280280280280280280280280280280280280280280280281281280280281281281281281281281281281281281281280280280280280279278278278278277277277277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999278275272268268266265264263262262262264266268269270272272274275276276276276276276276277278278278277277277276277277278278279280280280280281283283284285285285284284285286287287289290291291290291292293292291292290290288288287286288288289290289288999288290291291290291292293293293293293293294295294294294294293293295297294295295296296297298297297297298299299299299299299298299300299300300302299300299299300300301300301301301302301302303302301302302301300301298298298297297298297297298298296297297297296297295293294292291292291290289289290290291289289288289289290290290290292292291291292292293291292293293292292291290289289289288286287287284282285287289289289290290290290290290291291291291291292290291291291291292292289289290290290291290291291291291290291291292290292292292288288290290289289289290289289289289289288287288290290288289288289288287287287288287286288289289286287287287286286287287285285284283283284284284285284284285285285285285285285286284285285285284285285286286286287287288287288288287288288288289289290291288290291291292292293294295295295296296296296296295295296296295295294292292291291293291292291291289291291290292292293290292293293295293294294295294295295295294293293292292292292292292291291290290289290289288288288288289288288288288288289289288288288288288288288288289289289289289289289289289289289290289289289289289289289289288288288288288288288288288288288287287288287287287287288287287287287287287287286286286286286286286286286286285285285285285285285285285285285285285285285285285285285285285285285285285286285285285285285284284284283283283283282282282282282282282282282282282282282282281281281280280280280280280280280280280279280280280280280280279279279279280280280281280280280280281281281280280280281280281281280280280280280279278278278278277277277277277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999281277275273271267264264263262262263264267269270271273273274275276276276275275276276277278279279279278278278278278278279279280280280280281281283283284285285284284284285286288288288290291290291292292293292292291290290288288288287288288289290290289999999292292292293293294294293292294293294295295295294294293294294295296294295295297297298298298297297297298299299299299299298298299302299302302300300300300301302301301301300301302302303303303303302301302300301301298301300299300299299300300297298297297295298297294294293291292291290289291290291290290291291288290290288288287288290292291292292292291293292292292292292292291290288288287287285285283285287289289288290291291291291289290292290291291291291292291291291292292292289290292292292290291291291291291292293292291291289290290290289290290290290290289289289291289290290290289289289288287287288288289287288288288288286288287289290289288287285286285285283283284284284284284285285285285286286286285286286286286285286286284286286287287287287288287288288288289287288290290291291290290291291292293293294295295296296296296296296295295296295295295294293293292292293291292292291289292293293293292293293293294294295294295295295295294294294294294293293293292292292292291291290290289290289289288288288289288288287288288288288288288288288288289289289288289289289289289289289289289289289289289289289289289289289288288288288288288288288288288288288288287287287287287287287287287287287286286286286286286286286285286286285285285285285285285285285285285285285285285285285285285285285285285285286286286286285285285284284284284284284283283282282282282282282282282282282282282282281280281281280280280280280280280280280280280279280280280279279279279279279279280280281281281280280281281281280280280280280281280280280280279279278278278278278277277277277277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999277275275269269265264263264264264265267270271271273273274274275275275275275276276277279280279279279279279279280279279280280280281281281282283283284285285284284284285286288288287289290290290292292293292291291291290289289289289288288287288289291291290292293293292293293294293293293293294294294295294294293293294295293296295296294297297298298297297297297297298299302302302302299299302301301299300300300300301302301301302300302303302303303303303303302300302300298298300302299300299300298298299298298297298298295296294295293292291290294292291289291291289289289289287288288287288291292291291292292292291290291292291291292291291290289288288287287284282286289290288291292292292290289289291291289290290289291291291292292292292290292292292292291292291291291291291291290289290289291291290290291291289289288289289291290291291291291291290290289290289289289288288288286288287289288290286290288288284285285285283282282283284285285285285285285285285286286286285286287287287286285286287287287287288288287287287288288288288290290290291291290290291292293293293293295295296296296297296296296296296295294295294295294293293293293292292291292292292293293295294295294294295296295296295295295294294293294294293293293292292292291291290290290290289289289288288288288288288288287288288288288289289289289289289289289289289289289289289289289289290289289289288288289289289289289288288288288288288288288288288288287287287287287287287287287287286286286286286286286286286285285285285285285285285285285285285285285285285285285285285285285285285285285285285286286286286285285284284284284284284284284283283283283283282282282282282282282281281281280280281280280280280280280280280280280280279279279279279279279279279279280281281281281281281281281281281280280280280280280280280279279279278278278278278278278278277277277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283275273273271269267265264264264265267269271272273273274274275275275275277277277278279280280280280280281281281281281281281281281281281281282283283284285284284284284286287288288287288289290290291291292292291292291291290289289289289288288288289289291293294294294292295294293293293293294294294296296295294294294294294293296296296296297298298297297297296298300300301302302302302302302303301299299300300301301301301301301300301302302302302304302302303301300299299298301300300299299299300300298298300299298299295296296294294294290293294295292290288292288287287290289287288288287292293292291291291292291288290293290290292293291290289290291290288288285283287289288288290291291291291290291291292292291290289291291290291292290291293292293292292291291291292293293292291291291289290290290293293290291289291290290291291291290291291290290290288290289290288289290289286288287289289291286285287287286286286285284285285285284285286285284285286285285286286286286286286286287287285287287288286286288289287288288290289289290290290290290291292291292292293293293293293294295295296296296297296296296297296294294295294295295294294294293293291292293293294294294295296295295295296296296295295296295294294294294294293293293293293292291291291291290289289289289288288289288287287287287288288288288289289289288289289289289289289289289289289289289289289289288289289289289289289289288288288288288288288288288288288288288287287287287287287287286286286286286286286286286286286286286285285285285285285285285285284284285285285285285285285285285285285285285285286286286286285285284284283283283283283284284284283283283283282282282282282282281281281280280281280280280280280280280280280280280279279279280279279279279280280281281281281281281281281281281281281280280280280280280279279278278278278278278277278278278277277277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999276273272269268267266265265266267269271272272273274275275275276277277278279279279278278280281281281281281281281281281282282282282282282283283284285284284284284286286288287287288288289291291291291291292292291291291291291291291290290290290290290292293294294294295294294293293294294294294295295294294295295295293294292293296296296297297298297297298298298297297301302303302303303303303299301300300300301302301301301301301302302303302303303302302301301299299300300301300300303300300299298296299298300299297297296295294293293294294295290292290287289288288289290290287287287291291293293290291291291291292291291292291291290292287294291288291290288287285286288290291292291291291292291291290292292291290290289290290292290291292292293293293292292292292292291292291290291293293291291291291291291291290290291291291291291291290291290289290289289289289289289289290288288288287287288286284288287286286286286284285284285285285286285284285285286286286286286286286286286288287286287288287287288288290290290290290289291291291289291291291292292292293293293294294294294295296296297297297297297297297296295296295295295295296294294293292292293294294294292295295296296296297296296296295296295295293293294294293293293293293293292291291292291290289289289289289289288288288287288287288288288289289288288288289289289289289289289289288288288289288288288288289288289289289289289288289288288289288288288289289288288288288288287287287287287287287287287287287287287287287287287286286286286285285285285285284284284284285285285286286286286286285285285285285285286286286285284284283283283283283283283283284284284283283283282282282282282281281280280280280280280280280280280280280280280280280280279279279279279280280281281281281281281281281281281281281280280280280280279279279278278277277278278277277277278278278278277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999278275273272269269267267266267268270271271271273273274275275274276278278279279279279279279280281281281281281281281282282282282282283283282283284284285284284284286286286287287287288289291290291291291292292292291291291292292291292292292291291292294294294294294294295294293294293294294295294295294293294295295295295292293293296297296297297298298298298298297297298299302303303303302302303300300301301302302303301302302302303302303302302302303303303302301300300299302300300299302301302300299297299298299300297297296296296293294293292292292291289289290288292291292291290286288292292294293289290292291293292291292293291292293289287292290290290290289287287287286291291293292291291292291291291292293292291291292291291292292292292292291292291292292290294292293293293292293293293293291291291291291291290291291290290290290290290290290290291290290290289290289290291290288287286289290286288287285287287287286287286286286285284285285284285285286286285286287287287286287286287287287286287288290290289289291291291291290291290290292292292292292292293293293294294294294295295296296296296296298297297297296296295296296296295294294294295295295294295295294295296296296297296295295295295296294293294294294294293293293293293292292292292292291290289289289289289288288288288288288287288288288288288288288288288288288288288289289288288287288288288287288289289288288289289289288288289288289289289289289289289289288288288288288288287288288288288288288288288288288288287288288287287287286286286286285285285284284284285285285286286286286286286285285285285286286286286285284284283283283283283283283283283284284284283283283282282282282281281280280280280280280280280280280280280280280280280280280279279279280280281281281281281281281281281281281281280280280280279279279279278278277277277277277277277277278278278278278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999275272271271269268268268268268269271272272274273274274273275275276277278278278279279279280281281280280280280281281282282282282283283283284284285284284284285285287286286287287288288291290290291291292292293291292293292292292292293293292291292294295294294294293294294294293294293294294295295295295293295295295294293296295294296297297297297298298298298299299299298299300302302302301300299300301301301302302303303304304303303304303302303303302303302301302300301300301300299301300301301300299297298298297296297298296297296294295294291293292292289289293290292291292291291290287288292293292291289292292291291291290292290293292287287289293292292290288286287287287290290291291292292292291291291292291292292292292291292292293293292290291291293291292293294290291292292292293293292291292291291291291291291290290290290290290291291290290290290290290289289289290289291291288287286288286288288287286288288287287287287287286287286285285285285285286287286286287287288288288288288288288288288289290290289290291291291292291291291292292293293294293293293294294294295295295296296296296296296297297297296297297296297297297295295295296295295295294296296295293293296296296296295295295295295295294296295295294294294294294293293292292292292292291290290289289289289288288288288288288288288288288288288288288288288288288288288288288288288287287288288286288288288288288288288288288288288289289289289289289289289289288288288288288288288288288288288288288288288288288288288288288288288287287287286286286285285285284285285285285286286286286286286286286286286286286286286285284283283283283282282282282283283283283283283283283282282282281281281280280280280280280280279279279280280280279280279280280279280280281281281281281281281281281281281281281280280280280280279279279278278278277277277277277277277278278278278278278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999278277273271270269270269269269270271272272273274274274274275274274275276277278277278279280280280280279279280279280280281281281282282282283284284284284284284285287287286287288288288289290290290290291291292292293293293292293293292292293293293292294294295295294294294294294295295294294294295295295295294294295295294295293293294294296297297298298298298298299299299300300299299300300300299300300301302302302303303304303305304304304304305304304304302303302302302303303302301299300302301301301300300299298298299298298297296297296295296293294294292290292293292291290293289289291290292290292292293291293292292292292292291292292292291290290288292292291290289287288289289291291292291293293292291291293292292292292291292292291292293292291291291291292291292294292291291290293293293293291291291291291291291291290287288289289290290291291290290290291290290290289289290289289289290290289286286287288289288287287287288288286287286287286286285286287286287288287287287288288289288288289288288288290288289290291290291292292292291292292292293293294294293293293293293294295295295295296296296296297297296297297297297297297297298297296296296295295295296295295296293295297297296295293295295296296296294294294294294294294294294293293292292292292292292291291290290289289288288288288288288288288288288288288288288288288288288288288288289288288287287288288287288289288288288289288288288288288289289289289289289289289289289288288288288288288288288288289289289289289289289289289289288288288288288287287286286285285285285284285285285286286286286286286286286286286286286286286285284283283283283282282282283282283283283283283283282282282282281281280280280280280280280280280280280280280280280280280280280280280281281281281281281281281281281281281281281281280280280280279279279278277277277277277278278278278278278279278278278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284279276273272270270270269270270272274272274274274274275274274274276276278278278277278279279278278278277277278279280280281280281280281281282282283283283284285285287287288287288288287290291291291291291291292292292293294293293293291291292292292291294295295295294294294294295294296295294295295296295294294294295294294294294294295295296296297298298298298299300300300300301299300301301300299300301302302303303303303303304304304304303305305305303302303303303302303301300299300300301302302302302302301299299299299299298300297294297299297297294294292295294293292291293293291290291290291290295294293293292291292292294294291292292292291290290291292292292291291288289290291292292292292293293293292292292292293293292291291293292292293291290293293291292293293293292291291291291292291293291289289291290291292291290290290289290291290291291291291290290290290289289289289289289290288287286286286289288289288288288289289289288287288287286287287287287288289289289289288288288288287288287288287288288290290291291290291291291292292293293293293294295293294293293293293295295295295296295296296296297297298298298297297297297298297297297297297295297296296295293297295296296296295295295294294295296295296294294293294294294294293293292292292292292292292292292291291290289289288288289288289289289288288288288288288288288288288288288288289289289288288288288288287288288288288288288288288288289289289289289289289290289288290289288288288288289289289289289289289289289289289289289288288288288288287287287286286285285285285284284285285285285286286286286286286286286286286286285284284283283283283282282282283283282283283283283283283282282282281281280280280280280280280280280280280280280280279280280280280281281281281281281281281281281280280280280280280281281281280280279279279278278278278278278279279279279279279279279279278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283278276274273271270271271270270273274275274273275275274275275274276276278279279277277278278278277277276277277277279280281280279279280282282283283282284285285286286287288287288287287288290291291291292292292292292293293294294293292999291291292292292293295294295295294295294296296296296295296296296295294294294294294294293295294296296297297298298298298299301299301301301301302301301302302302302301301302302303303304304303305304304304303302303304302302305303303303302302302301301301301301302301300301300300300300299298300299297299299297299298296293295293292292293294294292291291292289290290295294293295292293292294293291292295292292291290290292292292292291292289291293292292292292293294293293292293293292292292291292293293291291293292293291291291292292292292292291291290291291291291288289290291290291292291291290290290290291291291290291291291290290290289289289289287288287287287288287288289289289288287289289289288289288287287287287288290289290289291290290289289290287288287287287290290290290290291291291292292292293293293293293293294293293294294293295295295295296296296296296296297298298298298296298298298297297297297296296296294296295295296297297297297296295295296296295295294294295295295294295294294293293293293293293293293294293293293292292291290289289289289289289289289289289289289289289288288288288288288288288289289288288288288287287287287287288288288288288287288289290290290289289289289288288288288288288288289289289289289289289289289289289289288288288288287287287287287286286285285285285284284285285285285286286286286286286286286286286286285284283283283283283283283283283283283283283283283283283283282282282281281280280281281281280280280280280280280280280280280281281281281282281281281281281281281281280280280280280280281281280280279279278278278278279279279280280280280280280279279279278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999280278278276274272274274273271271274275275275275275274276273275276276276276277278279276276276275277275277277277279279279278279280278277280281283283283283284286286286287287287289287287289288291292292292292292292293294294294294295294292291290291999292293294294295295296295295295296297296296296296296296294295295295295294294293295296296297297297297298298299299299299301301301302302301302302303303302302302302302302303304304304303304304303301303303304304302303304304304303305302302302301301302302300301302302301300300299298297296298299299298297296296296296295293293291292295294292292292295295294294294294292292293293294293292291294293292292291291293293290290290290292292293293292292292293293292292293293293293293292292291292292291292293292291292293293293292292292293292292291291291293293292292292292291290292292292291291290290291290290290291291291291290289289290289291287288287286286287287289289289286286287288288289288287286287287288289289289289289289290291291291290290288288287288287290291291291290291291291292293292293293293293293293294294293294294295295295295296296296296296297296297298298298298298298298298297297297296297296296297296295295294297296297297297296295296294297295295296296296296295295295295294294294294294294294294294294294294293292292291290290289290289289289289289289289289289289288288288289289288288288288288288288288288287287287287287287288288289288288288288289289289289289289289288287287288288288288289289289289289289289289289289289288288288288287287287287287287286286285285284284284284284285285285286286286286286286286286286286285285284283283283283283283283283283283283283283283283283283283282282282281281281281281281281281281281281281281280280280280281281281282282281281281281281281281281281280280280280280280280281281280280279278278278279279280280280280280280280280280280279278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999275276999280999279278277277275274275275275274275275275275275275274277276275275276276276277277277279277275275274274273273274276279280279280279279278275277279280282283284284285284285287288288289289289289289292292292292292293293294295295295295295293292292290999999292294294295296296296296296295296297296296296296297296296295295296295294294295296297296297297298297299299300299300300301301302302302302302303303303303303303303303303303303304304303303304303302304304303303304305305304303304305303303301301302302302301300302302302301301300298299297298298297300299297298297296295295294293295296293293293293295295295295295295293292294295293293293291292293292293293294293292289292291290290291292293293292293293293292293293293293293293292294292292292292291293293293292292293294291290290292293293292291291293292292292292292291291292291291291289290291291290291291291291290290290289289288289288287287288287286290290287289289288287288287285287286287286287288289289289290290290291291290292291291290287290288289290290291291291291291291291293293293294293293293294294293293294294295295295296296296296296297296297296297298298298298298298298297297297297297297296296296297296295295296297296297297296296297296295295296296296297296295296296295295295294295294295295294295295294294293293293292291291291291290291290289290289289289289289289289289289289288289288288288288288287287287287287287286287287288289289288289289289289289289289289288288288287287288288288289289289289289289289289289289288288288287288287287287287286287286286285285284284284284284285285285286286286286286286286286286286286285284283283283283283283283283283283283283283283283283283283282282282282281281281281281281281281281281281281281281281281282282282282281281281281281281281281281281281281280280280280280281281281281280279279279280280280280280280280280280281280280279278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999278274273275999277278275276276275277276276276276277276276276276276277276276276276277277277278278279279277275275274274273273276279279280280280278276276276278279280282282282283284285287288288289289289288289292292292293293293294294294294294295295293292999999999999292293294295296296296297297297297296296297296297297297296296295295294294295295297298296296297298299299300300301301301301301302303302302303303303302302302303302302303303304304304303303303303303305305303304307307305303304304305303302301302301302302302301302302302301300302299298297298295300298299298299298298295296294296296295294294294292295294295295295295294294294294293293293293292294293294294295295292292291290289287293293293291292293292293293292293294293293293293293293292292292293292292292293293294294291292293292292292291290290291291291292291291290292292290290291290290290291290291291290290291289290290287288290288288291290290290290290290290290289289288287288287287287287287288288289290291291292291291290291291290287288291290290290291290291291291292291291293293293294293293293293295294295295295295295295296296296296296297295296296297298298298298297297297296297297297297297297296296297296296296295297297296296297296296296296296297296297298297297296296295295295295294295295295295294295294294294293293292292292292292292291291291291290290289289289289289289289289289289289288288288288287288288288288287287287286288289289289289288289289289289289289288289289288287287287289289289289289289289289289289289288288288288288287287287287287287286286285285285284284284284284285285285285286286286286286286286286286285284283283283283283283283283283283283283283283284284283283283282282282282282281282282282281281281281281281281282282282283283282282282282281281281281281281281281281281281281280280280281280281281281279279279280280280280280280281281281281281281280279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999273275276276276275276276278276277277277277277277276276277277276276277277278278277278279279278279279276276275275274275280279280280279278276276277278279280282283284283283287288288289289290290290290292292293293293294294293294294294293293292293999999291292295293294294296296297297297297297297297296297297297297297296295294294294296296297298297298298299299299300300301301301301302302302302302303303303303303303302302302302303304304304304305304303302305306304306303306306304303304305303301302301301302302301300300300302299299299298297299297300297296300297297295294296295297297297295294295295292296295295296296295295294295294292292292292293293294294294294294292291289290288288292293294293294294293294293293293293293293293293292291291291291292292292292293292292293293293292291292292292292291290290292291291290292290291290290292290290290290290290292291289289289289289289287288289287291291291291291290287287288289289287288289288287287287288289289290291291291290292291289291290291289289289291291291291291291292293293292293293294293293293294294294294294294295295296295295296296297296297296295296297296298298298298297297297297296297297297297297297297297297296296297297297295296297296295295296297296297297297297297297296296296295295295294294294295295295294294293292292292292292292292292292292291291291291290290290290290290290290290289289289288288287287287288288287289288288288288288289289289289289289289289289289289287289287287287288289289289289289289289289289288288288288287287287287287287287286286286285285285284284284284284284284284284285285285286286286286286286286285284284283283283283283283284284283283283283283284284284284283283283283283282282282282282282281281282282282282282283283283283282282282282281282281281281281281281281281281281281281280281281281281281280280280280280280280280281281281281281281281281280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286999270273277277277276276277278278278278278278278278277276276277277277278278278278279279277279279279281277276278275279275275274274279279277276277276277278278280280282284285288288289289289289290289289290291291293293293293293293293293294294293295999999292294293294294295296296297297298297297297297297297297297297297296296296296296295297297297298298299299299300300300300301301301302302302302303303302303303303303302302302303303304303304304304304303303303305304305304303305306303304304304304302301302301300303302302301301303302301301299298301299298299301300298300300301299297295298297295295293294295296296296296297295295294295294291293293294293293294294295294294291291289292291293294294294294293294294293293293293292291293293294293291291291290291292292292292293292292292292292292292292293292290292292291290292292292292291292291293292291290291291291292289290288289288287287287288287287288291291288288288290288288288289289289288288288288289289290290291291290292292291290290290292291291288289291291292292292292293293293293293295294293293293294293294294294295296295296294296296297297296297296295297296297298298297297297297297296297297297297297297297298297297297297297295295296296296296295297296297296297297297297297296295297296296296295295295295295294295294294293292292292292292292293293293293292292292292291291291291291291291291290290290289289288288287287289289289289289289288288288288288289289289289289288288288289288288289287287288289289289289289289289289288288288288288287287287287287287287286286286285285285285284284284284285285284284285285285285286286286287286286285285284283283283283283283283284284284284283284284284284284284284284283283283282282282282282282282282282283283283283283283283282282282282282282282281281281281281281281281281281281281281281281281281281280280280280280280281281281281281281281281281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283999275277278277278278278279278278278277278278277276275276277278278278279279277279278279278277278278281276276274275278275279278279276274276276278278276278281281283284286287289290291291288288289289292292293292292292292293292294291292293293293999292292293293292294296297297297297297297297297297297297297297297297297297297296297297298299299298298299299300299300300301301302302301301301302302302303303303304303302302303303304304305304304305305305305303305304304303305305304303303304304304304304303302302303303302300300301302301300299299300300299299299300298299298301298297296296294294294293294298297299297296296296293294294294294294294295294293294294295294294294292289291293294294295294293293293293292293294293291291293294293293292292291289291291292294293293291291291291291291291291293292293293292291292292291292292292292292291291290289291290292292288288291288289288287289289289289289287291290288287289288289289289288287289288289288290290289291292290291291291291290291290290289290289291291291292291292292293295294294294294294294293294293293293294294294295296296296297297297297296296295297297296298299297297297296297297297297298297297297297297298297297298297297296296296294296296296297296297298298298297295298297297296297296296295295295295295294294294294293293292293293293293293293292293292292292292292292291291291292292291291290290290289289289288288290290289289289289289288287288288289289288288289288288288288288288288288288288289289289289289289290289289289289288288288287287287287287287286286286286285285285285284284284284284284284284285285285285286286286286286285285284283283283283283283283284284284284284284284284284284284284284284283283283282282282282283283283283284284283283283283282282282282282282282281281281281281281281281281281281281281281281281281281281281280280280280280280280281281281281281281281280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999282277275278277278278278279279277278278278280280278276276278279279279279279278278279280279278280280278279276276275276280275277280277277278278278279280280281282283286287288289290291288289291290287291291292292291293293293293293292292292293293999295293293293294295297298297298298298297297296296298298298297298298298298297297297298298298299299298297299300300300301302302302302302302302302302303303303303303302303302302302302303304304304305305305307305306305305302303305305303303303303304303303303303303302302303301301302301301299300301299301301300299298298300300300298298297297295297297296294296298298297297297295296295295293294294293293294295294294294295295296293293294293291292295294293293293292293293293292293292293293293293292291290289290292292292292294292291290289289290291292292292291291292291292292292292292292292292291291290291290292292292289288290289289289289289290288288288289289289289288288289289289289290288288290289289289290290290290290289291292292292291291290292290290292292292292292292294295294294294294294295295294294294293293295295294295295296296297297298298297297296296297298298299298297297296297296296296297297297297297297297298298297297297296295296296297297296297298298298297298298298297299297296296296296296295295295295295294294294294293293293293293294293293293293292292292292292292292292292291292292292291292292292292290291289289290290289289289289289289288288288288289288288288288288288287288288288289288288288289289290290289289289289289289289288287287287286286287287287287286285285285285284284284284284285285284285285285285285285286286286286286285284283283283283283283283283283283283284284284284284284284284284284283283283283283283283283284284284284284283283283282282282282282282282281281281281281281281281281281281281281281281281281281281281281281280280280280280280281281281281281281281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287283278275277278278277278277278278277278278280280279279279280280281281280280281281280280279281281280280277277277277278281276277277277278280279281282281282284283284284284287287288291291291291291293291293291291291291293294293292292291292292292999292291293294295295297297298298298298298297296298298298298298299299298298298297298298298299298298298298299299300301302303303302302302302303303303303304304303303303303302302302302302303304305305306307306305304305304303301301301303303304301302303303301302303303303304302302302301301301302301302301300301300300298302299300299299298298300297296302301300299299299299295296297296294294294294293295293292293295294295294296294294294294291292293294293293294294293293292294293292293293291292292293293293291291291290291290290291292291291292292290290290293291291290291292292292293290290290290290290291291290288288288289289289290290290289289290290291290290289289289288290290290290290289288289289289290291291291292292291292293291291291290289290291291292292291292293293294295294294293294295295295294294293293294294295295295295297297297298298298298297296297297298299299298297296297296296297297297297297297297297298298299298298296296297298298298299298298299300298296298298299298298297297296296296296296296295295295295295294295295293293293294294294294294294293293292293293292292291292292292291293293292292292292291291290289291290290290290289289289289289288288288289288288288288288287288288288287288288287287288289289289289289289289289289288287287287287287287287287287287286285286286285284284284285285285285285285285286285285286286286286286285285284283283283283283283284283283283284284284284284284284284284283283283283283283283283284284284283283283283283282282282282282282282281281281281281281281281281281281281281281281281281281281281281281281281280280280280280281281281281281281281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291285280278277277278278278278278280279280279280281279279280282282283283282281282281281281280282279278278278278280283283281282276276279280281281282282284284283282284284286289288291291291291291291293293295294293294293293293293293291291292292291292293294295296297298298297298298298298298297297299299298299299299299299298299298299300299298298299299299300301301302302303304303303303303303304304304304305303303302303302302302304305306305305307307307305305305306306302301302301301301301301302302301301302303303304304302302303302303302303303304303301302301302302302301300298302298298300297300303302301300299299296296299296296295293295296294294294297294297297297295294295295293294293293294294295295295294292294293295294294293292291292294291294294293291292290289290291292292292291291291291292291292292291291291292292292290291291292292291291289291290289289290290289289291290289289289290291290290290291289289289290292290290289289290289290290290291291292292292292293293292292291291291291292291292291292292294294295295294295294295294295295294294293295295294295295296296297297298298299299297296296297297299298298297297298297297297296297298298298298298297298298298298297297297298299298298298297298300300300298298299298297296297297297297297296296296296295295295295294294293293293293294294294294294294294294294294293293293293293292293292293293293293293292292292290290290291290290290289290290290289289288288288288288289289288288288288288288288287287287288288289289289289289289289289288288288287287287287287287287286286285286286285285285285284285285285284285285285285286286286286286286285285284283283283283283283283283283284284284284284284284284284284284283283284284284284284284284283283283283283282282282282282282282282281281281281281281281281281281281281281281281281281281281281281281282281281281281281281281281281281281281281280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283279277279279279279278278278280281281281282282281282282283284283282283283282281281281280280280278277276277279280282281283281281280281281282283283281282283284285286287290290291291290290290291293293293295293293293292292292293293292292293293294296295296297298298298299297298298297297297298298298300299299299300300299300300300300300299300300300300300302302303303304304304304304304304304305305305304304304304303302303302305305305306307308306306304306305305305304303303302302302302302302302303302303302303304303303304303303302303304304304303302300301301300302301298298302299298300301302302302300300300298298299299297295296295294295298297292293293297297297297295294292293293294294294294295295296294293292293292293293293293291291293292293294294294293293292291292294291291292292292292292294294292291292293293292291290291291290293292290290291290290289291290290290292290290291291291290290290290290291291291291291290290290290290289290291291291292292292293293293293293292292292292292292291293292292294294294294295295295294295295295295294293295295295295296295296297298298298299298298298297297297298298298298297298298297297297297297297297298298297298298299298297298297298299299299298297298298300300300299299298300296296297297297297296296296296296295295295295294294294293294294294293294294294294294294294294293294293293293293293293293293293293293293293292290290290291291290290290289290290290289288288288288288289289289289288288288287288288288288288288289290289289289289290288288288287287287287287287287287286285285285286286285285285284284285284284285286285286286286286286286286286285284283283283284284284284283284284284284284284284284284284284284284284284284284284284284283283283283283283283283282282282282282282281281281281281281281281281281281281281281281281281281281281281281282282281281281281281281281281281281281281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285283280279279279280279279278280282282282283283282283284284284284284283283283283283280280281278279279278277277280281281281284283283282282282284284284284283284285285289289290290290291289290291290293293292294294292292293292293294294293294295295295297297297298298298298298297298298298298299299299299299299299299299300299300300300300301301301300301300300302303304304304304304304305305304305306306305303303305305304303303303303303307306304306305306305305305304304304303304302302302302303303304304304304303303302303303303303303304303304304303302301300300300299300300300301303302302298302302302303300301300300299300298297297297296294294295295293292293295295297297293293292294295294295295294294294294294294294294293293293293294294293293293293293291292291295294290292292291291291292292291292291292292292292292294290291289292292290290292291290289289290290292291292290291291291291292291291290290290291290291291291291291290291291291292291292292292292292292292292293293293293292293292292293294293293294294294294294293295295294295295295295294295296295295296296297297297298298298299299299298297296297298298298298298298298298297296297297297298298298298298298298298298298298298298299299299299298298299299298299300298299296296297297297297296296296296296296295295295294294295294293293294293293293293294294293294294293293293293293293293293293293293293293293293291291291290291291291290290289290290290289288288288288288289287288288288288288287287288288288288288288288289289290289288288289289288288288287287287287287286286286286286286286286285285285285284285285285286286285286286286286286286285284283283283283284284284284284284284284284284284284284284284284284284284284284284284283283283283283283283283282282282282282282282281281281281281281281281281281281281282281281281281281281281281281281281281281281281281281281281280280280280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283283283281282280280280280280283283285283284284284285286285284285283283283284282281280277278277279279281279281285284282285284284285284284284285285284285285286287286287289290290290292291290292292292294295295293293293293293293294294295295296296297297298298298297297297297298299298299299299299299299299299298299299300300300301302301301302302301302302302303303303304304304304304305305305306306306305306304305305304304304305305305306304304305304305304304304304303303305305303303302303303303304304304304304303302302304303304304304304304302302299300300300300299300301301302302300300300301302302301301301301301301298297299299297294297292293293293294295293295296295294294293294294295295295295294293293294294294293293294294293296293293293293291292291291289291290291292292291292291291292292292293291292292291290291292291291292291291290290291289289290290291292293290291291291291292292292292290290291291291290290291290290291291292293293292292292292292293292292292293294294293293293293292293294293294294294294294294294294294295296295295295295296297297296296296298299298299299299299299298298298297297298298298299299298298298297297298296297298298298299299297298298298298299299299298299299300298298299299299299299299297297296297297297297296296296296295295295295294294294293293293293293292292292292292293293293293292293293293293293293293293293293293293291292291291290290290291290290289289289290289289288288288288289289288288287288288288288287288288288288288287288289289288289288288288288288287287287287287287287286286286286286286286286285285285285285285285286286286286286286286286286286286285283283283283284284284284284284284284284284284284284284284284284284284284284284284283283283283283283283283283282282282282282281281281281281281281281281281281281281281281281281281281281281281281281281281281281281281281280280280280280280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291285283282281282281281282282282284285286286285284284286287287286285282282282282281280277274275279282283281282284286286285285284284285286285285285286287288288288288289289289291290292292292292292291291292294295295294294295295296296296296297297297298298298298298298298298298299298299299299299299299299299299300300300300300300302301300301302302302303303303304304303304304304304305305305306307306306306305305305304304304303302303304303305304306303305304304304302303303304305304303305304305305305304305305304304303301302303304304303303303303301301302301300299302300300300299300298299303302302301301300300301302301298299297297294294294295295293293295295295296295295294293296295294294295295294295294295295294294295296295295294294293295294293295293292291292292292292292292291291292293292293292292292291291291291292292291291291292292291292291291289291292292292291290291292292291291292291293292291292291292291290290290291292292292292293293292292292292292292292294294294292293293292291292293294293295294295294294295295295296296295295295295296297298297298297298299299299298299299299300299298298297298299299299299299298299299298298297297298298299298298297298299299298298298299300300299300300299298299298299298299298299297296297297297296296295295295295295294294294294293293293292292293292292291291292292292292292292292292292292293292293293293293293293292292291291290290290290290290290289289290289289289289289289289289289289288288289289289288288288288288288288289289288289289289289289289289288287287287287287287286286286286286286286286286286286285285285286286286286286286287287287286286286285284283283283284284284284284284284284284284284284284284284284284283283283284284283283283283283283283283282282282282282282281281281281281281281281281281281281281281281281281281281281281281281281281281281281281281281280280280280280279279279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294286999279281281282282283284286287288287286285284286289289287288285281281281279279275273273276278282283283285286286287285286286285285285285286287287288288288288289289289290290289292292291291291291292295294296295295295296296296296297295295296297297297298298297298298299298298298299299299299299299299299299300300300300301301300301299300301302302303301303304304303304304304304305305306306306306306306306305305305305305303305304304307305306304305302302303303301302303304304304304304304305306305305304304303303303302303304305304303302303303302301301300300304303303299302301299303302302302302302301298302301301295298296296296296297297296296296294294296295295295294294295295295293295296294294295296296296294295295295294296294293292294294294296294292292290292292291291291292292291291292292291291291290291292290290291290290292292292292293292291291289292292292291291292292292291291291292292293292292291292292291291291291292292292292292292292292291292292292292293293294293294292292292293292293294293294294295295295294295295295296295295296296297298298299299299299299299299298298299298299299298298298299299299299299299299298298298297297297298298298298298298298299299299298299300300301300300299298299298298299299298299298298297297297296296295295295295294294294294294294293293292292292292291292291291291292292291292292292292292292292293292293292293292292291291290290289289290290289290289289289289289289289289290289289289289289289289289288288288288288288288288289288289289289289289289289289289288288288287287287287286286286286286286286286286286286286286286286287287287287287286286286286286285285284283283283284284284284284284284284284284284284284284284284283283283283283284283283283283283283282282282282282282282281281281281281281281281281281281281281281281281281281281281281281281281281281281281280280280280279279279279279279279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293294295999287999280282282282283286285287288289288287285286286290288287287285283282280276276274273277280282284285287288289287285287288287286287287287287287288288289289289290288290290291290292291292291292292292295296295295295295296297296296296296295295296296297297298298298298298299299299300299299299299299299299300300300300301301300299301301300300301301301303303303304303304304304305306306305306306306306306305305305304304304304305304304306305305304303303302302302301305302303303304303303304306306305305305303302303303302304303305304302302302303304303303301303304304302301302304303301299303302302302300298301298296295296297298298297298297296296296295294293293293294295295294294293294295294294294295297296296294295294295295294295294294294296296294293292291292290290290290292292292292290292292290289289290291291292292292291290291291293292291292291291292292292290290291291292291291291291290291292292294292292291291292291293292292293292292293293292291292291292292292293292293293293293293293292294294294294294296295295294295295296298298296297298299298298299299299299299299299299300299299298298298298299299299299299299299299299299298298297298298297297298298298299299299299299299300302300300299299299298299299298298298298298298297297297296296296295295295295294295294294293294293293292291292292292291291291291292291291292292292292292292292293293293292292291290290290290289290290290290289290290290289289289289289289289289289289289289289288288288288289289288289289289289289289289289289289289289289289289288288287287287287287287287287287287286286286286286286286286287286286287287286286286286286286285284283283283284284284284284284283284284284284284284284284284283283283283283283283283283283283283282282282282282282282281281281282281281281281281281281281281281281281281281281281281281281281281281280280280280280279279279279279279279279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292291289285283282282283284285284285288289289289289288287288288288286285284285284282280277276276276278281282283287288288289285287288287287288288288288289288289289290291291290291290291291290292292293292293292293292294296296296296296296297297297297296296296297297297297298297298298299299299300299299299299299298299299299300301301300300300301301301301301301301302302302304304304304305305306305305306306306306306306306306305305305305306302304304303304303302302301305304301303303304304303303305305306305305306304302304304304305304303303302301302300303305303299303303304303301302301304303300300300300301303298298300300296296296296299299298298298296296295295293294295294294295295294293293295295294294294295295296296295295295295293293295293292292294295294294293292289289291290291291293293292291291292292291291291292292293292292292291293293293292293293292292292292291291291291292292292291291291291292292294293292292292292293293293293293293292293293291292292292292292293293293293294296296294295295294295295296294295296296296295295296298299298297297298299299299299299299299299299298299299299299299298298298299299300300300299299299299298298298298298298297297298298299299299299299300300300301300300299299299299298298297299298299298297297297297296296295295295295294294294294294294294293293292292291291291292291291291292292291292292292292292292292293292292292291291290290290290289290290290290290290289289289289289289289289289289289289289289288288288288288289288288288288289289289289290290288289289289289288288288288288287287287287287287287287287287287287286287286287287287286286287286286286286286286285285284283283283284283284284284284284284284284284284284284284283283283284284284284283283283283283283283282282282282282282282282282282282282281281281281281281281281281281281281281280280280280280280280279279279279279279279279279279279279279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291291999999287287283283283285285286286285288289290289290290290289289288289288999282283283283283279278280281283284284286288289288289288288288288289290290289289289290290290291292291291291292292291289293293293293294294294293295296296296296296296296296297297296296298299298298298298298298298298300300300299299299299299300299299299299300301301301300300302301301301301302302302302302303303303304304305305305306306307306306306306306305305304305304305302303303304304302305305305304303303304304304304304305305305305304305303304304305305304304304301304304304301301302304302302303301301302301300304302300300300300299299299298301297295296296297299299298295297296296295294294295293295295294294294292293294293292295293295295294294294294294294294294293293291291293294294294293292290291292292292292292291292291292293293292291291292292291291292293292294294292293293292291292291292291291292292291292291291291292292290294294293293292292292293293294293294293293292292292293292292293292292292293295295296295295295294295295295295296296297297295296296297298299299300298298300300300300299299299299299299299299299300298298299299299299300300299300299299299299298298298299298298299299299299299299300300301301301301300299298298297298298298298299299298298297298297297296296296296295295294294295295294294293294293292292292290292292292291291291291292292291292291292291292292292291291291291290289289289289290290290290289289289289289289288288288289289289289289289289289289289288288289289288288288288289289290290289289290289289289289289289289288288287287287287287287287287287286287286286286287287287287287287286286286285286285286285284284284284283283283283283284284284284284284284284284284284284284284284284284284283283283283283283282282282282282282282282281281281281281281281281281281281281281280281280280280280280280280279279279279279279279279279279279279279279279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287286288287286285284285285285285286286287288289289289290288290292291289999999999999999999281281282281281284286286287290290289289289289289289289290290290291291291290291291292292293293292292291291292294293294294295295293295295296296296295296295296296297297296297297298299298298298298299300300300300300300300300300300300300300300300300301301302301302302301302302302302303303303303303303303304306306306306306307307307307307307306305305304303303302301302301302304302304302302303304305303304304304305305305305305304303305304304304305303305304304303302303303303303303303302301300301303303304304300298298298300300300299301301300295295296295298297295296295295295295293294294294294295294293293292292293294295294292292294294293295294294294294292293293293293292293292295293290290291293294292292294292292292292293292293293291292292292293293293291291291293293292292292291292292292292291291291292292292292292292292293294294293292293294293294294294294295294294293293293292292293292292293295295294295294295294295295296296296296296297295295296297298298297299298298299299299300299300299299299299299299298299299299299299299299300300300300300300300300299299300299300299299300300299299300300300300300301301300299299300299298298298298298299298298298298297297297296296296295295295294294294294294294294294293292291292292291291291291291291291291291291291291290291291292291291291290290290290290289289289290289289289289289289289288288288288288289289289289289289289289289289288288288288288288288289290290290290290289289289289289289289289289289289288288287287287287287287287287287287287287287287287287287286286286285285285286286285284284284283283283283283283283284284284284284284284284284284284284283284283283284283283283283282282282282282281281281281281281281281281281281281281281281281281281281281281280280280280280279279279279279279279279279279279279279279279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289282284285285284285285285285286287287287288288288288288289292293999999999999999999999999279280282282283285287287288290291290289288290290289289290290291291292292292292292292293293292292292291292292295295295295295296297296297296296295295296296296298298298298299299299298298298297298299300300300300300300300300300300301300300300300300302301302300300302301302302302303303303304304303303303304306306306307307307308307307307307306305305303304303303303303303302301303302303304304304304304305304304305305305305306304305306304304304305305304305304304301301301301304304303301300302302302302301301300300298298297299298299301301300295296299295296300299298295298295295294293296296294294293294293294292293295295294294294293293293296296296297294292293293295293293293296291293292291291292294293293295294293293293291293293292291292291293291291293294293293294293293293292292292292292293291292291291292292292294292293293293293293293294294294295294293293293293293294293293293292293293293293295293294296295295294294296297297296296296296296296294297298298298299298299300299300300299298299299299299299299298298299299299299299299300300300300300300300300300300300300299300301300300300300300301301301300301301300300300299298297298297298298298298298298298297297297296296296295295294294293293294294294294294294293292291291291291290290290291291291291291291291291292292291291290291291291290290290290289289290290289289289289288288288288288288288289289289289289289289289289289289288288288288289289289290290290290290289289289290290290290290289289289289289288288288288287287287287287287287287287287287287287286286285285285285286286285284284283283283283283283283283283283284284284284284284284284284284284284284284284284283283283283282282282282282282282281281282281281281281281282282282282281281281281281281281281280280279279279279279279279279279279279279279279279279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286283284285284284285286285285286287287288288288288287286291292999999999999999999999999999282280283284286288289288289290290290289289290290289290290291290291292292292293294293293293292293291291292293293295295294296298296298298298298298297297297298299299299300300300299299298298299298299299299299299299300301301301300299300300301301300301301301302301303303303303303303303303303304303303304305305306307307308308307307307307307305305304304306303303303304304301302304302302304304303304305306305305306306306305306306306306305305304306305305304303302302301303304301304301301301301303303302300301299299303298298299297298297298296296296298299295299299299295298295296295294295295295294294294294295295296295295295295295294293294295296294293294294293294294293294295294296292297294294294295294294293293294294294293293294291294294291291292291293293292293293293293293293292292291294291292292293292293292292293292292293291294294295294295294293293292293293292293293293293294293294294294294293294295296295294296296296297298296297297295297297297297297298298298299299298299300300298298299299299299299299300300300298298299299300300300300300300300300300300300300300300300301300300301300300300301301301301300299300300300299298297297298298297297297298298297297296296296295295295294294293293293294294294294294293292292292291291290291290291291291291291291292292292291291291291291292292290290290290290290290290290289289288288289289288288288288289289289289289289289289290288289289289289289288289290290290290289290289290290290289289290290290290289289289289289288288288287287287287287287287287287287287287286285285285285285286286285285284284283283283283283283283283283283283283284284284284284284284284284284284284284283283283283283282282282282282282281281281281281281281281282282281282282281281281281281281281280280279279279279279279279279279279279279279279279279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292288285284284284285285285285286286286287287288289289288286287288292296999999999999999999999999282280286285287288290290290290291291290289291291291289291291291291293293294293293295294293293294293292293292294293295295296298298299298298298298298297298299299300299298300300300300299298297297298298299300300300299300300301302301301301301301301300301301303302302303303302303303303303303304304305304304304306307307307308308307307306306305305304303303305304304304304303303302302304305305303303304305305305305305305305305305304305305304304305305304304303302304304303303303303302302302301302302301301302303298300302299296297296296297297296299296297298299296297296296296295295295295294294294293293295295293293295296296295296294293293293294293293293294293294295296295297294295295294296294294294294294293292292292292294294293294294294293294291291292292290291292292291292291293293293291291292291292293293293292292292293294293294294294294295295293292294293293292293294293293292293293294294294294294295296296295294295295296297298296296296296297297297297298299298298299299299298299300300298299299299299298299299300299298298299300300300301300300300300300300300300300300301300301301301301300300300301301300300300299300299300299299298297297297298297297299298297297297296296295295295294294294293293294293294294294293293293292292291291291291291291291291291291291291291291292292292292292292292291290290290291290290290289288289289288288288288288288288288288288289289289289289289288289289289289288289290289289289289289289290290290290290290290290290290289289289289289289288288288287287287287287287287287287286286286285285285286286286286285284284283283283283283283283283283283283283283283283284283284284284284284284284284283284283283283283282282282282281281281281281281281281281281281281281281281281281281281281281281280280279279279279279279279279279279279279279279279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286285284284284285286286287286286286287288289288288288286289290290999999999999999999999999999283283286290289291291291292292292291291291292291290290291292291292293293294294294294293293295296295293999999293294296295296297298300299298299299299299300300300300300300299300300299299298297298299299301301301302301301301301302302301301301301301301301302302302303303302303305304304302304304304305305305305305306307307307307306306306306305304306305305304304303302304304303303304305306305304304304305305304304304305304305303302305306306305303303303302302304304304304304304303303302299299299300302303301299301300298301299300296295295297299298298298299299295298296295297297295297296295294293295295294296296296296295295295294294293294295294295295295295295296296295297295294294295294295295293293294294293292291293292292294294294293293293291290292291293290291291291292292292292293292292292292293293292295293293293293293293294294294295294295294292294294295292293292294294295293294295294295294295296296296296296295295297295298296297295297295295296297297298298299299300300299299299300299298299299298299298299299299298298298300300299300301300300300301300300300300300300300300300300300300299300300301300300300299299299299299299297297298298298298298297297298297297297296296295295295294294294294294293293294293293294293293293292291291292291291291291291291290291291292292292293292292292292292290290290290291291290290289289288288288289288288288288288288289289289289289289289289290289289289289290290290290290290289289289290290290290290290290290290289289289289289289289288288288288287287287287287287287286286286286286286285285286286285285285284284283283284283283283283283283283283283283283283283283283283283283284284284284284283283283283282282282282282281281281281281281281281281281281281281281281282282281281281281280280280279279279279279279279279279279279280280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285284284285286286287287286286286287287289289289288288289292291999999999999999999999999999999999283287290290291292293293292293293292292292291291292291291292292293294293293295296295295296296297295294296295295296297298298299299299299300300299300301301301300300300300300299299299301300298299300300301302302302301301302303303301301301302303302302302303304304303303304304303303303304304304304304304304305306305307307306306306306306306305304306306306305303303305305304305305306306305305304304305305304304304303304302302304304305305305303303303302305305304304303302303303304301299299300301302302300299300299296300299298296297297300298299299300297297296296298296297298298298296294295294295296295297294294296295295294296296295295295295295297297297296298296295296296295295296295293294294293294295294292292293292292292294293293293294292292291293294294291292292292292292292292293293294293293293295295293295294293294295294295294294293293294293293294292294293294295295295296295295295295295296297297297298296296297295295296296297296296296296297297297298299299300300300300299299300299300299297298299299299299299298298299300300300300300300300301301301300300300299300300300300300300300299300300301301300300300300300299299299298298297298298298297296296297297297297296296295295295294294294294293294293294293293293294294293293292292292291291291291291291291291291292293293293293293292292292292290290292292291291291290289289289289289289288288288289289289289289289289289289290290289289289290290290290290290289289289289289289290290289289289290289289289288289289288288288288288288287287287287287287287286286286286286286286285285285285285285284284284283284283283283283282282282282282282282282283283283283283283283284284284284284284283283283283283282282282282282282281281282281281282282281281281281282282282282281281280280280279279279279279279279279279279280280280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289289300293291287286287285285285286287288287285286287287288289289289289290292295999999999999999999999999999999999999285289291292293294293294294293292292291292291292293294293292293294293291295296296297296296296297298298298298298298299299299300300300299300300299300301302301302301301301301300300301300301300301300301302302302302302301302302303301300300301303301302303303303303304303303303303302302303304304304304304304304304305306306307306306306306306305304306306306303303304305305305305305305305305305305305305305305305304303304304304305305305304304304303305305305304303303301300300304299299303302303300300301300299300299299300298300298297300300299300300297297298298299297298298299300298298296295295296294296296296297296296296295295295294295295296298297298299297297298298296297296296295294294295294294295295294294292293292292293294294295294294295295293293292291292293293293293292293293293293295293293292293295294294294295295295296295294293293293292293291292293295293294295296295296296295295295295296296297297298297297296297297297296295297296297297296298298298300300299300300299300299299300299298298299299299299299299298299299300300299300300301300300301300300300300300300300300300301301301301301301300300300300300299300299299299299298298297298298297297296297297297297296296295295295294294294294294294294294294292293295293293293293293293292291291290291291292291292292293293293293293292292292292291290291291291291291290290290289289289289289288289288289289289289289289289288289289289290290290290290289290289289289289289289289289290289289289289289288288288289288288288287287288288287287287287287286286286286286286286286286286285285285285285285284284284284284284283283283283282282282282282282282282283283283283283284284284284284284284283283283283283283283282282282282281281281281281281281281281281282282282281281280280280279279279279279279279279279279279280280280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288289297299292287287288288286285286286288288287285286287287288289289290290291293999999999999999999999999999999999999285290292292294294294294294295295294291292293292293293294292293294294292294297296296297297298298298298299299299299300300300300300300300300300300300300301302303304303302302301302301302302301300301301301303303303303302302302303302302300301303302302303303302302302304302302302301302302302303304303304303303304304305305306306306306306306306305305307307306304305304304304304305304305304304304305305304305305304304304304302304306305305303301302302303302304304303304303304301301304301304301300300301300300299300301300300300300301301300298298300298299299300298298299299298298300299299297297296295297298299297298297297297295296294295296297297299299298298297297297297297296297296296296295296296293293295295294294293293292292293293294292295295295295293292292293294294294294293293293294294295294294294295295296296293293294295295293293293293293293292292293294293294295297297297296296296296296296297296296297297297296296296297297296296297297297297298297298298299300300300300299300299300299299299298298298299299299298298299300300300300300300301301301301300300300300300300300301300300301300300301301302300300300300299299299299298299298298298299298297296297297296296296296296296295295295295294294294294294294294294293294293293293293293292292292291291291291292292292292293293293293293292292292292291291291291291291291290290290290290289289289289289289289289289289289289289289289289290290290289289289289289289288288288289289289289290289289289289288288288288288288288287287287288288287287287287287286286286286286286286286286286286286286285285285285285284284284284283283282283282282282282282282282282282282283283283283283284284284284284283283283283283283283283283283282282282282282282281282282282282282282282281281280280280279279279279279279279279279279279279280279279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288296295293291290288288287286287287289289286284285286287288288289288291294296999999999999999999999999999999999999287292292293294294294295294295295294294293293294294295292294999293294999999298298299298298298298298299299299298299299299298298299300299299300300301301303303303303303302302302303303302302302300300301301302303303303303302303303303302301301303302301303304302302302303302302302303302303302302303303304303304304305305306306306306306306306307306306305307307304304304304303303304303304303304305304304304305303303303303303302303304305304302301303301301305305305304302304301301301300301303302300299300301299298297300300300300300301301298298300300299298298299298299299299299299298300299301299300299297298297298299298298297298297296298297297297299298298297298298297300297296297297297296296296295293294295295294293294293293293293294294295294293295294292293294295294294295296295295295294295295295294295295295296295293295296295294292292293293294294296292293295294295296297297297297297296298296296297296297297297297297297295297295295296297297297297297297298299299299300300300301300299300299298299299299299299299299299299300300301300300300301301300300300300300300300300300300300301301300300301300300300300300299299298299299299299299299297298298298298297297297296296296296296296295295295295294294294294294294294294293293294294293294293293293292292293292292291291292293293293293293293292292292292292292291290290290290289290290290290290290289290290290289289290289289289290290290290290290290290289289289289289289288289289289289289289289289290290289288288288288288288287287287287288287287287287287286286286286286286286286285286285285285285285285285285284284284284283283282282283282283283283282282282282282282283283283283283284284284284284284284284283283283283283283283283283282282282282282282282282282282281281280280279279279279279279279279279279279279279279279279280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291292290290289287287286287287289290289287285284286287287289288290292296999999999999999999999999999999999999289292294293294294295295295295295295295295294294293294295296296294294298297298298298298298298299300299299299299299299298298298299299299300299300300302302302302303303302303303303303303303302302302302302302303303303303303302303303303302301302302302302303303303302303302302302302302303303304304304304304304304304304305306306306306306307306306305306305307307306305306303304306303305305304304304305305306305305304304303303304305304305303302302303303303303302304303301301300301300301302301301300301300298298299298299299300301299300300298299298298300300299298299298300299299299299299300301301300299299298298299299298297298297297298297298298298298298298298298296298297298297298298296297297296296294295295295294294294295294294294294293294296293293292294294295295294295296295296296295296295295295295294294295293295296295295294294293293293295293294294294295296296297297297297296297296296297297296297297296297297297297297295295295296296297297296297298298299299298298300300300300299300300300299299299299298299299299299299300300300300300301301300301300300300300300300300300301301300300300301300300300299299299300299299299299299299299298299299298298297298297296296296296296296296296295295295295295294294294294294294294293293294293293293293293293292293292292291292292293293293293293293292292292292292291291290290290290290289289289289290290290290290290290289290290289290291291290290290290290289289289289289289289288288289289289289289289289289289289289288288288287287287286286286287287287286286286286286286286286286286286286285285285285285285285285284284284284284283283283283283282283282282282282282282282282282283283283283283283283283283283283283283283283283283283283283283283283283283282283282282282282282281281280280280280279279279279279279279279280279280280280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291289289289287286286286286286287289291290288288287286288290291291291292294298999999999999999999999999999999999999289294294294295295295295295296296296294294295295294295295296296296297297298298299298299299299299299300299299300299299299298299299299299299300300301301302303304302303303303303303303303302302302302302302302303303304304303302302302303302300302301301302302302302301301302302303303303304304304305305304304304304303303304305306305305306307306306305306305305306306305304303304306304304304305305305305306304304305305304305304305305304304304303303303302303303301302303303301300299301300300301301301302301299300299301301301301299299299299299299300299300300301302301300298299300300299298300301301299300299301299299298299299297297299298298298299298298298298298298297298297297298298298298298298297296294294294294294295296295294294294293293294295294293293295295296296296296296296296296296296295295295294294296296295294294295295295292293292293292294295295295295296297297296295295296296296297298298297297298297296297296297296296295297296297297297296296297298297297299300300300299300300300300300299299298298299299299299299299299300300300301300301301301301301301300300301300300300300300300300301299300299299300298299298298299299299298299299299299299298297296297296296296296296296296296296296296295295295294294294295295294293294293294294294294293293294294292292292292294294293294293293293293292292292291291291290290290290289290289289289289289290290290290290290290290290291291291291290290289289289289288288288288288288288288288288288288288288289288289288288288287287287287286286287286286287286286287286286287286286286286286286286285285285285285284284284284284284284283283283283283282282282282282282282282282282282282282283283283283283283284284284284284283283283283284284283283284284284283283283283283283282282281281280280280280280280280280280280280280280280280280280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289289287287287285284286286286288291291289289288287288293295293291291291293999999999999999999999999999999999999289291295294294294295295295296296297296295296294295296296296296295297297298298298298298298298299299299300300299298299299299299300300299299299301301302302303303303303303303303303303303303303302302301301302302303303304303302301301301302301300301301302302302303302302302302302303303303303304304305305304305305303302302303305305304305305306306305305306305306306306305303303303303303302301304304304304304303303303303304304303304304303303303302302302302301304302302303303301300302302301301301301302302302300300301298299299300300300301300300299299300300300301301301299298299300300299299301300299299300299299298299299299298298298298299299298298298298298298298296297298298297297299298298297297297296295295295295294296296295294294294296294296295295294294296296295294296296297296296295296296296296295296295295295293293296294294292293293294293292294295295295295296296297295297296296297297297297297296298297296297298297297296295297296296296297297296296297297299300300300301300300300300300300300299299298299299299299299299299300300300300301301301300301301301300301300300300300301300300300300301300300300300301299299299298299299299298299299299299298298297297297297297296296296296295295296296296295295295295294295295295295294294294294294294294293293293293293294293292294294293294294294293293293292292291291291290290290289289289289289289289289289290290290290290290290291291291291291290290289289289289288288288288288288288288288288288288288288287288288288288288287287287286286286286286286286286286286286286286286286286286286286285285285285285285285285284284284284284284285284284283283283283283283283282283283283283283283283283283284284284284284284284284284284284284284284284284284284284284284283283283283282282282281280280280280280280280280280280279280280280280280280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295287287286285286286286284284286287290291291290289288288288293296294292291291999999999999999999999999999999999999999290293292294295295295295296296296296296295296296296297297297297296297297298298298298298299298298298297298298298299298300300298299299300299300301301302303303303303303303302302303303303303302302302301302302301303303303302302301301300301300300300301302302302302303302302302302303303303303304305305305304304304303302302302303304304304305305305306305305305305306306306305303305304305304303303303302303305303304305305304305304305303304303304302303303302302303304303301302301300302302303302302302304303302302301301299300301301301302302301301301300301301301301301300299300298300299300300303299299299298299300299298299300300299299299299298298298298299298298297298298298298298298299298298298297297296295295295296295296296295294295295296296295296296295296296297297295296296296296296297297296296296296295295295295296296296293293293293295295293295295296296296295296296296296296295295298297296298298298298298298298298297297296296296296297298298298297296297300300301300299300300301301300300300300299299299299299299298299299298300300300300301301301301301301301300300300300300301300300300300300299300301300299299299299299299299298298298299298299298297297297296296297296296296296296295295295295295295295294294294294294294294295294294295294294293294294294293293294293293294293293293294294293293293292291291291290290290289289289289289289289289289289290290290290290290290291291290290290289290289289289288288288288288288287287287287287287287287287287287287287288287287287287287287286286286286287287287286286286286286286286286286286286286286286285285285285285285285285285285285285285284283283283283283283283283283283283283283283283283284284284284284284284284284284284284284284284284284284284284284284283283283283282282281281280280279280280280280280280280280280280280280280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296279281283284283283284285284284285286289290290289288287287287287291295294291294295999999999999999999999999999999999999999292292292294294294295295296296296296295295295296296296297298297297297297297296297298299299299298298296298297297298298299299299298299300301301301302302302303303303303303303302303303303303302302302301301302302301302303302301301301300300300299299301301301301302303303302301302303303304304305305305304304304304303303303303303304303302303304304304304304304304305303305304306306306304304303303303302304303303304306305304305305306303303303303303303303304303303304304303301302303303302303302302304305304303303302301301301302302302302302301301301300301301301301300300301301300300301301300300299300299299299300299300300299300300300299300299297298297298298299298298297297297298297298298297296298297297295294295297296296296296296296297296295296296297297297298298298297297297297297297296296296296296295294294295296295295294294293293293294293294296296297297296295295295293297296295294296296297298298298298298299298298297296296295297297297298298298298298299300300301300301300300300300300300299300299299299299299299298299299299299300301301301301301301301301301300300300301300300300301301301300300299300300299299299299299299299299298298298298298297297297297297297296296296296296296296295295295295295295294294295295295294294294295294294294293294293293295295293293293293293293293293294293293292292291291291291290290289289289289289289289289289289289289290290290291291291291291291290290289290289289289289288288288288288288288288288287287287287287287287287288287288288287287287287287286286287287287287287286286286286286287287287287287287286286286286285286285285285286286286286286285284284284284283283283283282282282283283283283283283284284283284283284284284284284284284284284284284284284284284284284283283283283282282281281280280280280280280280280280280280280280280280280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288282274278282283282283283284284285286288290290290288286284284284283289295295290294999999999999999999999999999999999999999999293292292293295294296296295296296296294293295296297296297297297297296296297296297298298299298298298297296297297297298299299299298299300301301302302302303303303303304303302304304303303303303302302302301302301302302302301301300300300300301299298299301301301301302301302301302303303304304304304304304304305304304302302303303303304302302302302302304303303303302305306306306305305304304304303303303304305305305306304305305307305304302302302303303303303303303304303303305303303303303303302303303304304303303304303301302303303303303303301301302301302303303302301301299300301300299299299300299300299298301300299299300300300300299298298298298298297298299299299298298297297297296298297296295297296297297295294295295296296296297297296296297296296297298297298298298298297296297297297296297296296296295294295296296294293294294295294294293297295296297297297296295296295295295296296295296296296297297298299299299298298298296296297298298298297298298298298298300300300301300301300299300300300300300300299299298299299298299299299299300300300301301301301302301301301301300300300301300300301300299300300299299298299299299299299299298299299298298298296296296296297296295296296296296295295295294294294294294294294294294294294294294294294295293293293293294294294294293293293294294293294294293293293292292292292290290289290290290290290290289289289290290290290291291291291291291291291291291290290290290289289288288288288288288288288287287287287288288287287288288288288288288288288287287287287287287287287287286286286286287287287287287287287287286286286286285286286286286286286286285285285284284284283283283282282282282283283283283283284284284283283284284284283284284284284284284284284284284284284284284284284283283282282281281281280280280280280280280280280280280280280280280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999282282270273277280280279282283283284285287290289289289289287285282281284281287297295292293999999999999999999999999999999999999999999293292293293296295296295295296296295294294296296296297297297297297297296296297297297297297297297298296297297296295297299299298299299300300301302302302302303303304303303303303303302303303302302302302302302302302301301301300301302302302301299300301300299300300301301301302303303303303303303303303304304304304303302302302303303302301301301304304305305302304302304305306305305306306304304305306305306306305306306305307306305304303303303303303302302304304304305304305305303302303303303303304305302303303305304304303302303303304303303303302303302303303302302301300300301299300300300303300299299298300300299298299299299300299299298299298298298297298298299299298298297297296296297296295295297296297294294295296296297296297297297297297296297296296297298298299299298297297297297297297297296296295296296296296294294295295293296294294295297296297296297297296296296296296296296296296296297297297298299299299298298299298297298297299298298298298298299299300299299300300299300300299299300300299300299299299299299298298298299299299300300301300301301301301301301301301301300300300300300300300299299299298298298298298298299298299298298299298298297297297296297297297297296296296296296295295295294295294295294294294295294294295294295294294295294294294294294294294293293293294294294294294293293292292292292291291291290290290290290290290289290289290290290290290291291291292292291291291291290290290290289289289288288288288288287287287287287287287288288288287287287288288288288288287288287287287287287287287286286286286287287287287287287287286287286286286286285286285285285286286286286286284284284284283283283283282283283284284283284284284284284284284284284284284284284284284284284284284284284283283283283283283283282282281281281281280280280280280280280280280280280280279280279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297287284280277277280281281281281282283284285285289292292289286285284283281278290287288296295294999999999999999999999999999999999999999999293292293296296296297296295294294295294294295296295294298298298297296296295295296297296297297297298298296295297296298298299299300300300300301302302302302303303303303303303303303302303303303302302301301302302302301301301301300301300300300301300299299301299300301301302302303303303303303302302301302303303303302302303302302301301302301301303303304304304303303303304305306306305306305304304305305306306306306305306306305306306305304303303303304304304304304305305305305305305302303305301301302303303302305304305305304304304304304303302303302303302302302303302300300301299299300300302301300300299300300299299298298298298299299299298299298299299297298299299297298297297296297296297297296297296298298298296295297297298296297297297297297296296296297298298298299298297297297297296297296297295296296296297294295295294294294294294295295296296297297297297296296297297296296296295296296296296297298298299299300298299299298298298298298299299297298299299299300299299299300300300299299299299300299299299300300299299299299298299299299299299300300301301301301302301301301301301300300300300300300300300299298298299299298298299298298298299298298297297297297297297296296297297296296296296296295295294294294294294294294294295294294294294295294295294295294294294294294294294294294294294294293292292293292292292292291291291290290289290290290289289289289289290290290291291291292291291291291291290290290289289289288288288288288287287287287287287287287287287287287287287288288288288288287287287287287287287287287287286286286287287286286287287286286287286286286286286286286286285285285286286286286285285284284284283283283283283284284284285285284284284284284284284284284284284284284284284284284284284283283283283283283283282282281281281280280280280280280280280280280279279279279279279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286286288279279280282283281281283283283284285285286290291292291287283281279280278282288293297295298293999999999999999999999999999999999999999291294294295297297296296294293295295295294294295296295297297297297296295295295295295296296296296298297297296297298297298299300300300300301301301302302303303303303303303303303302303303303302302301302301301302302301302302301301300301301302301301301300301301301302303303303303303304303303302303302302302302304305302302302301301302301301303302303303303304305305304304306306306305306305304304304305305305305305305304306306306306305303303303302303305304305304305305305305304302302302302302301302303304304304305305306306303304303304305303304304304303303302302303302300300300300301301302301300299299298299299299298299298299300299298298298297298298299297298298297298297297296297296298298298296298297299297297296297298298295297297297297296297297297297298299298297297296297297297296297297296297297297296296296296295294295296296296296296297297298297297297296297297297296296296295296296297297297299298299300300299299299299299299299298300300297299298300299300299301300300300300299299299300299299299299299299299299299299299299300299300300300300300301300301301301301301301301300300300300300301300300299298299299299299298298298298298299298298297297297297297296296297297297296296296296296295295294294294294294294294294294294294294294295295295295294294294295294294294294294294293294294293292292292292292292292291291290289290289289290290290289289290289290290290290290291291291291291291291291291290290290289289289288288288287287287287287287287287287287287287287287288288288288288288288288288287287287287287287287286287287287287287286287286286286286286286286286286286286286286285286286286285285285284284284284284284284284284284284285285285285285284284284284284284284284284284284284284284284284283283283283283283283283282282282281281280280280280280280280280280280279280279279280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284284291284281280279282284287286284284285284284284284285287288289290290289285281279278277282287294297296294300999999999999999999999999999999999999999292293294296296296296294295296295294296294295296296296296296295294294295295294295296296296296295296296296296297297297299299300301301300301301301302302303303303304304304304302303303303302302302301302301302301300301301301301301301301302301302302303302301302302303304304303302303303303303303303303302302302302303303302302302301301301300303302302303303303304304304305306306306305305306305304305305305305304305305304306305305303303304303302303302303303305304305305305305304303303302302302303304304303304304305305305303303302305304303305305304304304302303303302301301302301300301302302300302300298299299300300299300299299300299299299299298298299299299299298296298297298297297295299297298298297296296297297297297297297297299297297297299299298298298298298299298297298298297296297298296297296297296296297297296296295295296297297298296298298297297297297297297297297297297296296296297297298297299299298300301300300300298299299300300300300300301302298301300300301301300301300300300300300299298300300300300299299299299300299300300300301301301301300300301301301301301301300301301301300300300300299299298299299299299299299298299299298297297298297297297297297298296297297297297296296296296295294294294294294294294294294294294294295294295296295295295294295295295294294295293293293292292292292292292291292292292291291290290290290289290289290290290289290290290290290291291291291291291291291291291291290289289289288288288288287287287287286287287287287287287287287287288288288288288288288288288287287287287287287287287287287286286286287286286286286286286286286286286286286286286286286286285285285284285285285285284284284284284285285285285285285285284284284284284284284284284284285284285284284283283283283283283283283282282282281281280280280280280280280280279279279280280280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283282283286288288289291289287286286286286286285286287287288290290287283280281281282288290295297296293999999999999999999999999999999999999999291293294296294295295295295293295295295296294295295296295295295294294294294293295295296296295295296296296296297296297297298299300301301300301301302301303303303303304303303303302302302303301301301301301301302301301301301301300301300301301302302301302302302302303303302304304303303302304303303303303302302302302303303302301301301303300302303303303302303303304305305305304305304305306305305305305303305305304304302304304303303303302303302302302303304303304304305305305305304303303302303303304305306305304303306305305304304304305305305306305305304304303303302301303303302302300303301302301302300300300299300300298300300300300300298299299299299299299298298298297297298299298298297298297299298296298298297296296299297297297297298298299299300299299299299298298298297297297298297296297295295296296296297297297297296296296297296297297298298299298298297297298297298297297296296297297298297299300298298297299300301301300298299298299301300299301301300300300301300300301300300301300300300299299299300300300300299299300299300299300300300301301301301301301301301301301301301301301301301301301300300300299299299299299298299299299299299298298299298297298297297296297296298297297297296296296296295295294294294294294294294294294294294295295295295295297297295295295294294294294293293292292292292292292291291291291291291290290290290289290290289289289290290290289290290290291291291291291291291291291291290290290289289288288288287287287287287286287287287287288286287287287288288288288288288288288288287287287287287287287287286286286286286286286286286285286286286286285285285286286286286286286286286285286286285285285285285284284284285285285285285285285285284284284284284284284284284284285285284284283283283283283283283283282282282281281280280280280280280280279279279279280280280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999280280280283286288290291292293291289287287287286287287287287288288289288284280279282285289295298297298296294999999999999999999999999999999999999999292293295296294294294295294293295295296296295296296296296295295296294295294294295295295295295295295295295296297297297297298299300300301301301301301302303303303303302302302301302301301302302301301300301301301301302301301301300301301301301301301301302302303303303303302302301303303301303303303302302303303303303302303303303302302303303302302302303303303304302303304303304304305305305304304304304305305305303303303302303301302305303303302302302303304305305303304305305304304303304303303304305305306304305304304304304305304305306304305304305304303303303303303303302302302300300301301302302301301301300300300300299299300300300301299299299300300299298298298298298298299299297298298298298299299296299297297298299299297298299297297298297296297296297298297299298297298297298297297296296296296297297296297297298297295297296296297298296297298298298297297297297297297297296297296296296297298300300300299298299301302301300298298298300300300301300298301299300301300300301301300300300300300300300300300300300300300299300300300301300301301301302302302301302301302301301301301300301301301301301301300300299299299299299299299298298298298298299298298298298298298297297296297297297297297296295296295295294294294294294294294294294294294294294294295295294295295296294295294294294294292292292292292292292292291291291291291290289290290290290289290291290290289290290290290290290290291291291291290290291290291290290290289289288288287287287287287286286286287287287288288287287288288288288288288288288288288288288288288287287287287287286286286287287287287286286286286286286286286286286286286286286286286285285285285285285285284284284284285284284285285285284284284284284284284284284284284284285285284284284283283283283283282282282282282281281280280280280280280279279279279280280280280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999276277280284287289291293294295293289287289288287287287288288288287287285282279279283290294298299299298296294999999999999999999999999999999999999289292294294294294294295294293293295296296297294294295296295295295294294294294294295294294294294295295296296297298298298298298299300300301301301301301302303302302302302301301301301301301301301301301301301301302302302301301301302301301302301302302303302302302302302303302301301303302301301301300304301301303303303303302302302304303304303303303303303303302302303305303303304304304304304304305305304304304304305303305304303302303303303305303302302305304306305302304303303303303304304302305305305306305304305306303304305306305306306305304303304304303303301303303302304302302301301300301302301301302301301300300300300300300300299300300300300300300300298298299298298299299299298298298299299299299297297297298297299297297299297298297296296296296295297297297298298298299299299298299299297296297296297297297298298298298296296295297296296298298298297297297297296297297297297297297297298299299300301300299299300301301301300300298299300300300300299300299299299300301300301300299300299300300300300299300301301300300300300301300301301301301301302301302302302302301302301301301300301301301301301301301299300300298299298299299299299298298298299298298298297298297297298296297297297297297297296295295295295294294293294294294295294295294294294295295295295296295295294294294294293293292292292292292292292292291292292291291291290290289290290289291290290289289289290290290290290290290291290291291290291290290290291289289289289288288288287287287287287287287287287287288288287288288288288288288288288288288288288288288287287287287287287287287287286286286286286286286286286286286286286286286286286286285285285285285285285285284283284284285285284284284284284284284284284284284284284284284284285285284284284283282282282282282282282282281281280280280280280280279279279279279279279280280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999279999276276278283287289290292294295295295291289289287287287287287287286285283282280280283289293296299298299297297296294999999999999999999999999999999999293294294294294295295293293293293295296296295296296296296295295295295293294293293294294294294295294295296296298298298298298298298299300301301301301301301302301302301301301301301302301301302302301301301301301301302302301302302302301301302302302302302302303301301302302302302303303303303302301300302302301301302302303303305304304303303303303303303302302301304304304304302303303304304302304304304305305304304304303305305304304303306305305303304302302303304304304304303303304303304304302304304305304305304304305304303305305305305305304304303304303304304303303303302304304302302301301301301302302302302302301300300301300299299299300301302301300299299299296299297297296295296296297298298298296297297297295296298298297300299298298297297296295296296297298297298298299299301299299299297299299298298298297297297298298298297296296297297297297298298297298297298298298298298298298297298299299299300301300301300301301301300301300298300300301300299300300300299300298301300300300299300300299300300300301301301301300301300301301300301300301302302302302302302302302302302302301301301301300300301300301300300299300300299299299300299299298299299299299299298298298298298298296297297297297297297296296295295295294294294294294294295295295295294294295295295294295294294294294293293293292293293292292292292292292292291292291291291290291291291291290290290291290290291290289290290290290290290290290290290290290290290291290289289289289288288287287288287287287287287287287287288288287287287287287287288287288288288287288287287287288287288288287287286287287286287287286286286286286286286286286286285285285285285286285285285285285284283284285285284284284284284284284284284284284284284284284284284284285284284284283283282282282282282282282281281280280280279279279279279279279279279279279279280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293999999999999999999999999999999999999999999999999999999999999292999999999278277278279281282283285287289290292294295295296294291289287287287287286286285282282282283285291294296298298298299298298296295999999999999999999999999999999293294294293293293294293293293292295296295296294296296294296295295295294294293293292292294294294294295295296297297297297298297297298299300301301301301300301301301301301302301301301302302302302302301301301301301302302302303303303302302302302302302302302302302302302302302302302303302303303302302303302302302302301304305305304304304303304303303303302302301303304305303302302303304304305306304305305305305304303304303304304304304306306304304302303303302303303305305304303304304304303303302302304304304305305304305305304303304305305304305305305304303303304304303303303303304303302302302302302302302302302302301301301301299300299300301301301301301299299299298298297296297296297297297299299297296299297297296296297297299297299297297296295295296296296295297297298300299299298299299298300299299299299299296296298298298298296297298298296296296296297297298297297297297298298298298297298298300299300301300298300300300301300299299299299299300300300300299300300300300300300300300299299300300300300300301300301301300300301300300302301301301302302302302302302303303303302302302302302301301300300300300300299300299299299299300300300300300300299299298300299298298298298297298297297298297297297297296296295295295294294294294295295294295295294295295295295294294295294294294293293293293293293292292292292292292292291291291291291291291291290290290291290291291291291290290289291290291290290290291290291291290290290291291289289289288288288287287288287287287287287287287287287288288287287288288288288288288288288288288288288288288288288288288287287287286286286286286286286286286286286286286285285285285285285285285285285285285284284284284284284284284284284284284284284284284284284284284284284284285285284284283283282282282282282282282281281280280280279279279279279279279279280279279279280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298999999999999999999999999999301303999999286286289290999292287285282280282281282284285286287287288289291293294294295296294291290288286286286284284285285287289292294295296297298298298298299296296294999999999999999999999999999999292294292292292295295293293294294295296295294295295296296296295294294293293293294292292293294294294294295295297297297298298297298298299300300301301301301300301301300301302301302301302302302302302302302301301302302303303303303303303303302302301301301302302302302302302302302303304304304304304304303303304303303304303302302302304304303303304304303303301302303304304303303304304304304304305305304303303304304303303303304304305305306306304305303302303303304305304304305304304303305304303303303304304305305304304305304304305305305304304304305305305304305305304303304303303304303303302302303302302302302301301301300301300301300301301300301301301301300300299299299297297298298296298297299297297296299298298297297298297299298297298296296296297297297296297299299300300300299298298299299300299300299299298298298298298298299297296298298298296296297297297298299298298299299299298298297299299300300300301300300301301300301301299299299301300300300300299300300300299300300299298298299299300300300300300300301301301300301300300301301302302302302302302302302301302303303302302302301302302302301301301301301300300300299300300300301300300301300300300299300299298297298298297298298298298298297297297297296296295295295294295295295295295295295295295295296295294294294294293294294293293293292292292292292292292292291291292290290291291290291291291291291291291290290290290290290290290290290291291291291291291290290291291291291290289289288288288288288287288287287287288287287288288288288287288288288288288288288288288289289289288288288288288288287287287287286286286286286286286286286286286286285285285285285284285284285284285285284284284284285285284284284284284284284284284284284285284284284285285285285284284284283283282282282282282282281281280280280279279279279279279279279279279279280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295295999999999999999999999290296999999282283283284286287287285287287287287287288289291291291291291292293294294295296296295291290287285284285284287290291293295296296297297298298298298299299297296295293999999999999999999999999292294295296293294295295296294293294294295295294294296295295295294293293293293293293293292293294294294294295295296297297298297297298299299299300300301301301301301301300301301301301302302303302303303302302302302302303303303303303303303303303302301301301303302301302302302302302302304304304304305305304304305305303303303303302301301302303303303302301303303304304303303302303304304304303304304304304303302303304303303304305305305306306305304304303303302303303305306305304304305305303304304303304303305305304304305305305304304305304304304304306306306305304304304304303303302302304304303302303303302302303302303303302301300301301301301300300300301301301299297298299298298299298298298298298297298298299298299300300298299300299297297297297298298299299299299300300299298300301299300300299300300300299299299299298298298299297297297297298298298298298297298299298298299299298298298297298299300300300299301301300301300300300300300300299300300300300300299300300300299300300300299299299300300300300299300300301301301301301301301301300300302301302302302302302302303302303302303302302303302302301301301301300301301301301300300301301301301300301300299299299299299298298298298298298298298297297297297296296296295295295295294295295295295295295295295295296295295295294294294293293293292292292292292292292292291291292291292292292291291290291290290291291290290290290290290290290290290290290290291291291291291291290291291291291290289288289288289289288288288288288288288288288288288288288288288288288288288288288288288288289289289288288288288287287287287287287287286286286286285286286286286286286285285286286285286285285285285285285284285285285285284284284284284284284284284284284284284285285285285285285284284283283282282282282282281281281281280280279279279279279279279279279279279279280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298294293999999999291290290300293289287283283284284285287288289290291291292292293292293294293293293294294295295294295296294291290287286288288289291292293295295295297298298297297298299299299298297296296999999999999999999999291292293293294294296296296296293295295294293294294294296295295295294294293293293293291292293293293293294294295296297297298297298298298299299299300300301301301300301301301301301302301302303303303303303302302302302303303303304304303304304303303302302302301302300300302302302302302304302304304305304304304304304303303304303303302302303303302303304303301301303303303303304304304304304304304304305304304302302302303304304305306306305306305306304306304303303305304305305304303303303303305305306304304304304304304303305305304305305305305303305304306304303305304304304304303303303303304303304303303304303303303302303303303301300301302302300300300301301300300299298299298298298298297298299298298298298297298298298298297298299299298297298298298299299300299299300300300300299299298299299299301300300300299299299299299298298298297297298297298298298299299297299298299299299299298298299297299300300300300300301301301301300300300299299300301300300300300300299300299300299299299298299300300300300300300300300300300300301301301300302301301300301301301302302302302302302303302303302302303303302302302302300301301301302301301301300301301301301300300300300300300299298298298298298298296298298298298297297296296296296295295295295295295295295295295295294295295295295295294294293294293293292292292292292292292292291291292292291292291291291291291290291290291291290290290290290290290290290290290290290291291291291291291291291291291291290289289289289289288288288288287288288288288288288288288288287287287288288288288288288288289289289289288288288288288287288287287287287287286286286286286286286286286285285285286285285285285285284284284284284284284284284285284284284284284284284284284284284284285285285285285284284283283282282282281281281281281280280279279279279279278279279279279279279279280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299299296293295999999291294292288288287287288288288288289290291292292293293294294295294294294294295294294295295295294296296294294293291290291292292291292295296296296298298297297297299298299299298299298297295295999999999999291292292293293294296295295295297295295295294293294293295295294295295294293293293293292292293293293293294294294295296297297297297297297298298298299299300301301300300300301301301301302301302302303303303303302302302302303303304304304304304303303303303302301300301300301302302302302302302304304304304304304304304303304302304304303302301302302301303304304302303304303303302304303304304304304304304305304303303303304304304305305305304306305306306305305303303303304304305304304302304305302305305305304303303303303304304305305304305305305304305305304304304303304304304305304303304303304303304304303302301303303304303303303302302301302302302301301300301301302301301299298298298298297299298299301299299298298299299298298298298300299298298299299299298299300300300300300300300301299302301301301301301300300299299299299300299298298297297297296298299299299298298299299299299299298298299299300299300300300301301301301300300299299300301300300300301300300299300300301300300298299299299299300300300301300300300299300300300301301301300301301301301301301301301302302302302302302303302303302302302302302302302302302302302302301301301301301301300301301301300299300298299298299298298298298297298298298297297297297296296296295295295295295295295295295295295295295295295295295295294294293294293292292292291292291292291291292292292292291291291290291291291291291290290290290290290290290289290290290290290290291291291291291291291291291291291291290290289289288289288288288288288288288288288287287288287288287287287288288288288288288289289289288288288288288288287288288287287287287287287286286286286286285285285285285285285285285285285284284284284284284284284284284284284283283284284284285284284284285285285285285284284283283282282282282282282281281281280280279279279279279279279279279279279280280280281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297295291291999999999291291290288288289290290290291292292293293293294294294295295295295295294296296295296296296296296296294295294294294294294293293295295297297297297297296296297298299299299299299299299297297297999999999291291292293292294294294295295296295294295295293293293294294294295294293294294293293293293293294294294294294294295296296297297297297297298298298299300300300300300301300300300301300301300301301302302303302302302303303303303303304304304304303303303302302301302302302302302302302303302302302302303303304304304303303303302304304303303301301301300301302301301301302302302302302302302305304303304304305304303303304304303305306305305304305305305305304304303304303304305304304303304304304303304305305304305303303302303305304304304305304305305304304304305305305304305305305303304306303304304304304303303302301302303303303303302302302302303302302303302302302302301299302301300300300300300300301300299298299300299300298299299298299299300299301300298298298300301301301300300300299301301301301301301301300300299299300299299299298299297298299298298299298298298299299300299299299299299300299298299300300300301301301300300300299299300300300300300301300299299300299300300300299299298299300300300300301300300300300300301301301301302300302302301301301301302302301302302303302302302303303302301302302302302302302302301301302301301301301301301301301301300299300300299299299299298297298297297298298297297297297297297296296296295295295295296295295295295294294294295295295295295294294293293293292293292292292292292292291292292292291292291291291289291291290290290291291291291290290289289290290289289290290290291291291291291291291291291290290290289289289289289289288288288288288287287287287287287287287287287287287287288288288288289289289289289288288288288288288288288288287287287287287286286285285285285285285285285285285284285285284284284284284284284284284284284284284284284284284285285285284285285285285285284283283282282281282282282281281281281280280279279279279279279279279279279280280280281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297294290999286292285288289290290292293293292293292293293293294294294294294294295295295294295296296295296295296297296296295296295295295296296297296297297297298297297297298298298298299298297299300300300298297296295999999291292293293292293293294295295296295294294293293292293293294294295294294294294293293292294294295294294294294295295295296296296297297297298298298298299300300300301301301300301301300301301301301301302302302302303303303303303302303304304303303303302302302302303302303302302303303302303302302301302303304303303303302302303302303302303302302301301300301302301302301302303302302302304305304304302302304303303302303304304305305304305304304305304305305304304304304303304305305305304302302303304304303304304304303304305305304304304303303305304304303303304304306306306305305304303304306305304304304303304303303302302303303302302302302302303303302303303302302301301300300300300301301301302301301302301301301300301300301299298298298299299301302300299300300301300301301300299300300301301300301300300299300300299299298299297298299299299299299300299299297299299298299300299300299299299299300299300301300300300301301301300300299298299299299300300300300299299299299300301300299299298299300300300301300300300300300300299301301302301301301301302302302302302302302302303302302302302303303302301302302302301302302302302302301301301301301301301301301301300301300299299300299298298298298297298298298298298298297297297297296296296295295295296295296296295295295295295294295294294294294294293293292292292292292292293293292292292292292291291291291291291291290291291291291290291290290290290290289289290289290290290290291291291291291291291291290289289289288288288288288288288288288287287287287287287287287287287287287287288288288288289289289289289289289288288288288288288287287287287287287286286286285285285285285285285285285285285285285284284284284284284284284284284284284284284284285284285285284284285285285284284283282281281281281282281281281281281280280279279279279279279279279279279280280281281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298999999296298300296293288289289289290289291292293294294294293293293293293293294294294295295294295294295294294294295295295295296297296296296297297295296295296297297298298297298297297297297298298298298298298299298298298297297296295999999289292293295292292291294294296296295294292293294293293293292293293293293293293293294294294294295295294295294295295295296296296297297297297297298298299300301301302301300301301301301301301301300301301302301302302302303303303303303303304303303302302302302301302303303302303303302302303302302302302302303303302301302302302303303301303302304304305303303304304302303302303304303302302303304304304303304303303303302304303304304303304304304305305305306304304305304304305305305304302302304303303304305305304306304304303303303303303304303305304304305304304304306305305305305304304304304304304304304304303303303303303303302303302302301303302303302302302301301302301300300301300300301301301301301301301302302300301301302300300299301300301301300301301301301301301301300301300300300301301300300301301301300300299299299299299298298299300300299300300300299299299299300300300300299299300301301299300300301301300300300300299300299299298298298299300299300300301299299300300300300300299299299300300300301300300300301301300301301301302301301302302302302302302302303302303303303302303303303302302302302302302301302303302301301301301301301301301301300301300300300299299299297298298298298297297298298298298298297297297297296296296295296295295296295295295295294295294294294294294294293293293293292292292293292293291291292292292292292292291291291291291291290291291291291291291290290290290290290290290290290290291291291291291291291291291290290290290289289288288288288288288288288288287287287287287287287287287287288287288288288288289289289289289289288288288288288288288288287287287287287287286286286285285285285285285285285285285285284284284284284284284284284284284284284284284284284284284284284284284284284284283282282281281281281281281281281281280280279279279279279279279279279280280280280280281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301297999296300297296294293292293292291292293294295296295295294294293294293294295295295295294295294294295294295295295294295295297297297297295296296296296296297296298298298297297297297297297297298298298298297298297298298298297296295999999290293293292294294293293294295295293293293292293293293293292292292293293294294294294294294295296295295295294295296295295295296296297297297298298299300300300299300300299301300301301301301301300301301302302302302302303303304304303302304303303302302302301301302301302302302303303302302302302302302302302302301301302302302303302303304303304304305305305302302303303302303303303302301303303304304304304303303303302305304306306304304303303304305305305305305304304302302304303302303303303304304305305305306305304305304303302302303304304303304305305305305305305305304304304303303303304304303304304303303304304303304303303301301302303303303303302302302302302301301301301301301301301302302303301303303303301303303303301301301299302301301301300300301301301301301300299299298298299300301300300301300300300301300299299299298299299299300300299299300300300299300300300300300300300300300300302300301301301300299300300300300299299299299298299300300300299300299299300299299299299299299300299299301300301301301301300301300301301301302302302302302302302303302303303302303302303303303303303303302302302302302302302302302301300300301301300301301300300300300300299299299298298299300298298298297298298298298298297297297297297296296295295295296295295295295295295295295295295294294294294293293292292292292293293293293292291291291292291291291290290292291291291291291291291291291290290290290290290290290290290290290291291291291291291291291290290290290290289289289288288289289289289288288288287287287287287287287288288288287288288288288289289288288288288288288288288288288288287287287287287286286286286285285285284284285285285285285285285285285284284284284285284284284284284284284284284284284284285284284284284283283282281281281281281281281281281280280280279279279279279279279279280280280280280280280281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299297301299298297296296296296294293292294295296296296296295295295294294294295296296296295295295295295295295294295296295295296296296295296295295296296297297296296297297297297297297296297298297297297297297297297297298298297297296297291287289294294293294294293293295295294294293292292293293293292293292293294293294294295295295295296296296295295295295295294294295296297297297297298298299299300300300300300300301301301301301300301300301301301302302302302302303303304304304303303303302302302302302302301302302302302302302302302302303302301302302301300301302302303302302305305305305302303303304303303303301302302302302304303303303303303303303303303302304304306304304304304304303304305305305305304304302303303302304304304302304304305306304304304304304302303304304303303305305303304305303304305305304303304304304303304304304303303304304304304304304304303303302302302302303303303303303302302302301300302302301302301302303303302304303302303303303302302303302302301301301301301302302301301301300301301300299302301298299299300302300300300300300300300298298300299299298299300300300300301300300300300300301300301301300300300302300301301300300301299300299300299299298299299299299299300300300299300300298299300299299299300299299301300301301301301301302302302301301302302301302302303303303303303303303302302302302303303303303302302302302302302302302302301301301301301301301301300299300300300300299299300299298299298297298298298298298298298298297297297297296296296295295295295295295295295295295295294295294294294294293293292292292292292292292293292291291292292292291291291291292292291291291291291291291291291290290290290290290290290290291291291291291291291291291291291290290290290290289289288288288289289289289289289288288287287287287287287287288288287287287288288288288288288288288288288288288288288287287287287287287287286286285284284284284285285285285285285285285285284284285284284284284284284284284285285285285284285285284284284284283282281281281281281281281281281280280280280279279279279279280280280280280280280280280280281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299299300299298298298297297296296297297296296296296296297297297297296296296295295295295296295295295294294295294295294294295295295295294295295296296296296295296297297298298296296297297297297297297297297297297297298298298297298299299298298297294293294294294294293294295295294294294293293293293293292292293293294295295294295295296297297297296296296296295295295295295296296296296296297297297298299299299299299299299300300301301300300299300300301300301301302302301302302303304304303303303302302302302303301301302301302302302302303302302302302302302303302301300300300301302302301302305305305304303303303303304304304303303302302304303302302303302303304303303303302302303302302303304304304304304306305303303301304304303303304305304304305304303302304303303302302302303303303303304304303303304304304305305305305304305304304304304305304304304304304303303303303304304303303303304303304304305302303303302301301303303304301302303303303304304304303302302301301303302302302302302301301301302302301301301301301301301300299302299299300301301301300301301299300299298298298300299299299299300300301300300301300300301300300301302301300300300301300301301300301301300300300298299299298298299299299299299299299299300299299299299299299300300299299300300300301300301302301302302302301302302303302302302302303303303303302303303303303303303303303303303303302303302302302301302301301301301301301300300299300300300300299299299299298298298297297298298298298298298298298298298297297296296296295295295295295295295295295295295295295294294294293293293292292292292292293292292292291291292291291292292292292291292291291291291291291291291290290290290290290290290290290291291291291291291291291291290290289288288289289289289288288289289289289289289289288288288287287287287287287288288288287289288288288288288288288288288288288288288288288287287287287287287286285285285284285285285285285285285285285285284284284284284284284284284285285285285285285285285285284284284284283282281281281281281281281281281281280280280279279279280280280280280280280280280280280280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297999999300300999999303301299298298298299296297297296296296297298298298297298298298298298298297297296296296296296296296295295295295294295295294295295295295295295295294295296295295296296296296297297297296296296297296297297297296296296296296296297297298299298298298297296295294293293293293292294296295295295294293293294293293293293294294294296297297296296296297297297296296296296295295295295295296297297297297296297298299298298298299299300300300300300301300300300300300300301301302302302302303303303303303302303303302302302302302301301302302302302302302303303302301302301302302303302301300300301301301304304304304304304304304304304303303301302302302302302303301303302303304303303303303304303303302301303302302303305304304304303302304304305304303304304305305304303302302302303303304303304303303302302304304305304304304304305304305305305304305304304305304304303304304303304302303304304304304303304304303304304304303305301304303303304302302302302302303304304303302302301302301303302302302302302302301302302302303302300301301302302300302299300300299300301302301301301299299299301299299299300300299299299299299299300300300300301300300300300301300300300300300301301301300300301301300299298298299299299299299299299299299299300299299298300299299299299300300300301300301301301301302301301301302302302302302302302303303303304303303303303303303304304303303303303303303303303302302301302302302301301301301301301301300301300299300300299299298297298297298298298298298298298298298298298298298297297296296295296295295295295295294295295295295294294294293293293292292292292292291292293292291292292292291291291291291291291291291291291291291291291291291290290290290290289290290290291291291291291291291291291290289289289289290290289289289289289289289289289289289289289288288288288288288288288288288288288288288288288288288287287287287288288288288288287288287287287287286286285285285285285285285285285285285286285285284285285285285285285285285285285285285285285285285285284284283283282281281281281281281281281281281280280280279279280280280280280280280279279280280280280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299999302300999300999999999999999999301999999999999999999999999999999999999999999999999999999999999999294296299297298299300299301298999298298297296296296296296297297298299298298299298298298298298297297296296296296296295295294294294295295295295295295295295295296294295295295295295295295295295294295296296296296296295296296296296296296296296296296295296297298297297297296295295294293293294294294295295294295294293294294294293292293293293294294296295296296297295295295296296296296296295296296296296298298297297298298298298298297298298299300299300299299299299300300300300301301301302302302302302303303303303302303302302302303302301301302302302302302302302302302302302301302302303302303302301301302301302302303305302304304304302305303303303302301302302302302303301302304303303303303303303303303302301302301302302303302303302303304302302304302304303304304304304304303303302303304304304305305304304304304304305305305304305304303304304304304305305305305306306305304304304304303303303303303304303304303303302302304303305303304303302303303303304303303304304304304303302304302303303302301301302302302302302302301302300302301301301302302302300301300299301301301302301303302302301299300299300299299300300299299299300300300300301300300301300301301301301301301300300300300301300300300299301299299298299298297299299299299299299300300300300300299300300300300300300301300301301301301301301302301301301302303303301302303302303303303303302303303303303303303303303303303303303303303302303302302302301302301301302301300301300301301300299299300299298298297298298299298298298298298298298297297297297297297297296296296295295295295295295295295295295295294294293293293292292292292292292293292291291292291291291291291291291291291291291291292291291291291291291291290290290290290290290290290290290291291291291291291290290290290289289290290290289289289289289289290289289289289289289289288288288288288288288288288288288288288288288288287288288288288288288288288288288288288288288287287286286286285285285285285285285285285285285285285285285285285284285285285285285284285285285284284284283282282282281281281281281281281281281281280280280279280280280280280280280280280279280280280280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299302299300301302301299300295293999999999999299999999999999999999999999999999999999999999999999999999999298298299298296295296297298298297299298298297297297296296297297297298298299299299298299298298298297297297297296296295295294294294294295295295296296294295295296294295296296295296295295295295295295295295295295295296295296296296296295295295296295295295295296296297295294295294295294294294294295295295295294293294293293293293293293294293295295295295295295295296295295295296296296297297296296297297297298299297299298298298298297298297299300299299299299299299300300300300300301301301302302302302302302302302302302302303302303302302301301301302303302302302302302302302302301301301302302302302301300301302302303302303303304304302304303303302303303301300302301302303302304304304303304303303303302301301302300300301302301302304302304305303303303303303303304304304304304303302303303304303304305304303303305305306306305305304305304303303303304306305304307306305305305304304305304303303305305304303302303302302303302303303303302304304303303303305305304304304304304304304304303303303303301302302303302302302302302302301301302302302301301302302300300300299301301301302302303302302300300300299300299299300300300299299300302301301301301300301300300300301301301301300300300300301301299300301299300298298298298298299298298299299299299299300300300299299300300300300300300300301301301301301301301301301301302303303302302303303303303303304303303303303303303303303304304303304303302303302302302302302301302300300301301300301300300300300299299299299298297298298298299298298298298298298298298297297297297298297297297296296295295295295294295295294294294294294294293293292293293293292293293291293293293292290291291291291291291291291291291291291291291291291291291291290290290290290290290290290290290290290290291291290290290290290289288289289289289289290290290290290289289289289289289289289289289288288288288288288288288288288288288288287288287287287287287288288288287288288288288287287286286286285285285285285285285285285285284285285285285285285285285285286285285285285285285284284283283282282281281281281281281281281281281281280280280280280280280280280280279279280280279280280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302299297299299300300300301302302303303999999303302302301302300999999999999999999999999999999999304304303302301301300298298297295295296295296297297298297296296296296296296297297297298298298298298299299297298298297297297297296296295294294294294295296296295296294294294294294296296296295296295294295295295295295295296295295296295295295296296295295295295296295295295295295295294294295295295293294294294293294295295294294293294294293293294294293295296296296295295295297297297298296297297297298298297296296298298300299298299298297298298298298298298298299300299299300300300300300300300300301301301302302302302301301301302302303302302302301301302301301302302302302302302301301301302301301301302302302302301301300300302302302303303303303304303304303303303304303302302300301303302302304303303303302302302300299300300300301301300300300301303303304304304303304302303303304304304304303302303303302302302303303302304304304305305304304304304306305304305305305305303304305306305304304305305306305304303303303304302303303302302303303303304303302303302303303304305305305305305305304304304304303302302302303302302303303302302302302302302302302302302301301302301301300301300301301301302302302301300300300300299299299300300300300301300301301301301301301301302301301301301300300301301301300300301300300301301299298298300298297297296298299300299299298300300299299299300300300300300300300300301301301301300301302301302302301301303303302303302303303303303303303303303303303303303304303304304303303303302302302302302302302301301300301301301300300300300300299298299298298298299298299298298298298298298297297297297297297297297297297296296295295295295294294295294294294294294294293293292292293292292293293292293293293291291291291292292291291291291291291291292292291292291291291291291291291291290290291290290290290290290290291290290290290290291290289289290290289290289290290290290289289289289289289289289289289288288288287287288288288289289288288288288287287287287287287287287287287287288288288288287287287287287286286286286286286285285286285285285285285286286286286285285285285286285285285284284283283282282281281281281281281281281281281281280280280280280280280280280280279280280279280280280281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294290298299299301299299300301301302302302304303304304302303302300300999999999999999999999999304302302302303303302301299298297296296296296296296296297297297296297297297296297297298298296298298298298298298298297298298297297297297296295294294295294295296296296296295294294294294295295295294295295295294294294295296296295295295295295295295295295295295295295295295295295295295296296296295295295295294293293294294294294294295294294294293293292294295295294297297297296296296297297298299298298297298298298297297299299299298299299299299298298297297297297298299300300299299300300299300300300300300300301301302301302301300302302302302302302302302302302302302301302302301302302301301300301301301301300301301302301301301301303301302302303303303303302303304304304304303303303303303302303301304304304302303303301299300300302303302302300301300300302302302303304303302303302302302303304304303303303303303302302303302303303304305305303304303304303303304304304305305306305304305305306305305305305306307306305304303302303303303304302302303304302303303303303303304305305304305303304305304303304304303302302302302303301302302302303302302303303303303302302302302302302301301302302302303302302302302300300300301301300300300300300299300300301301301301300301302301301302302302300301300301301301301300300301301301300300300298298300298298300298298299299299299299299300299299299300299300300300300301301301301301301301301301301301302301302303302302302302303303303303304304303303303303303303303304304304303303303302303302302302302302301301301301300300300300300300299299298298297299298297298298297298298298298298297297298297297297297297297297296296296296295295295295295295295294294294294293292292292293292293292293293293292292292292291291292292291291291291291291291292292292292292291291292292291291290291291291291290290290290290290290290290290290290289289289289290290290290290290289290290289289289289289289289290289289289288288288288288288288288289289288288288287287287287287287287287287287287288288288288288288288287287287287287286286286286286286286286286285285286286286286285285285285286286285285284284283283282282282281281281281281281281281281281280280281280281281280280280280279280280279280280280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299299299297298299298299299301301302303303304304305304304305304304301300999999999999999999999999302302301302301302302301298297297296296296296296296296296297297297297297297297297297297297297298298298298298298298298297297297297296296296295294294294296295294296296296295295294294293293294295294295295295294294294294295295295295295295295294294294295295295294294294293295295295295295296295295295295294295294293294294294294295295295294293294294293295295293296295297296296296296298297298298298298297298298298298298299299299299299299299300298298298298298297298299301300300299300299299299299300300300300300301302302302302302301302302302303302302303302302302303303301302301301301301301300301301301302300301302302300301302301302302301303302303303303303301302304303303303303303303303303302303303304304303301301302303302301302303303302302303302303302303302302302303303302302302303302302304304304303303303303301301303303304304303303304304302302303304304304305305305305305306305305306306305304305306306305304304305305305305304305304303303303303303304304305304304305306306306305304304305305304304303303303303303303301302303303303302303301302303303303304303303303302303302302302303302303303302301300300300300300300301301301300299300299302301301301301301301301301301302302302300300301301301301301301300301301301300300299298300300300298298298298299299299299299299300299299299300300300300300300301301301301301301301301301301302302301302303303302302302303303303303304304304304303303304303303304304303303304303303303303302302302302300301301301300300300300300300300300299298298299298298298299297299298298298298298298298297297297297297297297296297296296296295295295295295295295294294293293292293292292293292293293293293292292292292291292292291291291291292291291291291292292292292292292292292292291291291291291291291290290290290291290290290289289290289290290290290291291291291291290291290290290289290289290290290289290289289288288288288288288288288288288287288288287287287287287287287287287287288288288288289288288288288288288287287286287287287287287286286286286286286286286285285286285285286285285285284284283282282281281281281281281281281281280281281280280280280281280280280280280280280280280280280281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299298298298299299301300301303303303303304304304304306305303302300999999999999999999999301999302301300301301299299298297296296296295295295296296296296296297297297297297298298297297298298298299298298298299299297297297298297297296296295295295295295296296296296295295294294294293292294294295295295295294295295294295295295295295295295294295294295296295295294294293294294295295295295295295296295294295295295295294294294294295294293292292291292294293294295295296296296296297298298298299298298298298298298298298299299299298300299300299299298298298298299299300300300300299298299299300300300300300300300300301301302302302303302302303303303302302302303302302301301301301301301302301299301300300300300302301301301302301301302302303304303303303303302302302302303302302302302303303303303304304302303302301302302302301302302301302304304303303303302302302303303303303303303304303303304304304304303303304304303302302303304303302302304304303303304305305305305306305305305306305305306306306306304305305304304305306305305305304303302303303304305305304305304305305305305305305304303304306304303303303303303302302304304303304304303303303304303303304303304304304303303303302303303303302302301302301300300300300299299301301300300298299301302302301301301301302302301301302302301300300300300301301301299300300300301300300299299300300300299299299299298298299299299298299299299300300301301301301301301301302302302302302302301302302302302302303303302302301303303303304303303303303303303303303303304303303303303303303303303302302302302301301300301300300300300300300300300299298298298296297299298298297298298298298297298298298297297297297297297297297297296296296296296296295295295294294293293292292293293292293293293292290293293292292292292292292292292292292292292292292292292292292292292292292292292292291291291291291291291291290291290290290289289289289290290290290290291291291290290291290291290290290290290289290289290289289288288288288288288288288288288287288288288288287287287287287287287288288288288289289288288288288289289288287287288288287287287287287287287286287286286286285285285286285285285284284284283282282281281281281281280280280280280280280280280280280280280280280280280280280280280280280281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299299298298299299299302301301302303303303303303304305305303303302300999999999999999999999999300301300299299297298297297296296296294295294296295296296297296296296297297297298298298298298298299299300300299299299298298298298297296296295295295295295295296295295294295294294295294294293294294294294294294294295295294294295295295295295295294295295296295294294294295295294294295294295296295295295295295295297294293294295295294295294292291291290292293293295296296296296298298297298298297299298299300300299298298299300299298299301300300299299298298298298299300301301301300300300301299300300300299300301301301301301302302302303302303303303301301304303303302301302302302301301302302301300301301301301301303302302302302302301301301302303304303302302302302302302302302302303303302303303301303302302302303302302302303303302302302303302304304304304304302302302303304304303303304304304304304304304303304304303301302302304304303302303305304303303304304304305306306307306306306306307307307306305305306306306306306306305305305304305303304304304306305305304306305305304305304304304304305306303303304303304303304304305304304305305305303303304303305304302303303304305304303304303303303303301302301300300300300300301300301300299298299300302302302301301302302301302301301302302301300301301300300300301300300300300301300300298298299299299299298298298297298299299300299300300300300300300301301301302301301301301302301302302302302301302302302302302302303303303303303304304303303304304304303303303303303304304303304303303303302302302301301301301302301301300300300299300300299298298299297297298299298298299298298298298298298298298297297297297297297297297296296296296296296295295295295294293293292292293293293293293292292292292292293292292292292292292292292292292291292292292292292292292292293293292292292292292291291291291291291291291291291290290290291290290291291290291291291290291292291291292290290290290290290290290290289290289288288288288288289289288288288287287288288287287287287287287288288288288288289289289288288288288288288288287287288287288287287287287287286286286285285286285285285285285285284284284283282281281281281281281281280280280280280280280280280280280280280280280280281280280280281280281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299999300299300300300300300299298299298300300302302301301303304304304304304303301999999999999999298301302300300300298297296297297296296295294293295296297297298297297297297298296298298298299300299299298299299299300299298299299299298298297297296295295295296296295296296295296295295294294295293294294294294294295295295295295293295295295295295295295295294295295294294294294294294295294294294295296296296295294295295295295294294295294294296293293291289290292294294296297297297297297298299298298298299298299299300299299299300300300299299300300299298298299297299299300301301301300299300299300299299299300300301300300301301301301302302302302302303303303302302302302303301301302301301300301301301300300301301301301302302302302301302302302303304304303302303302302301301302303303302302301302301302302299301302302302302304303304304304304304303303303303303302302303303303304304304303304303304304303304305304304303304302302302304304303303304305304303303305303304305305306306306305306306306306307305305305306306306306306306307306306306305305306305304304304305304306305306306305304304305305304304306306304303305305305305305305304305305305304303304305305305305305305305305304305304303304303303302302300302301301301302302302302302301300300300301301302302301302301301301301301302302302301301301302301300300300301299299300300300300301300299300299299298299298298299299299300299300300300300301300301301301301301301302302302301302302302302301301301301303303303303303303303304303303304304304303304303303303303304304303303303302302303303302302301301300301300301301301300301300300300299300299300299298298298298298298298298298298298297298298297297297297297297297297296296297296296296295295295295294293293292292293293293293293292292292293293293292292292292292292292292292292292292292292292292292292292293293293292292292292292292291291291292292292292292291290290290290291291292290291291291291290291292291291291291292290289290290290290290289289288288288289289289288288288288287287287287287287287288287287288288288288288288288289289288288287288288288287288288287287288288288287287287287286286286286285285285285285285284284284283282282281281281281281281280280280280280280280280280280280280280280280280280281281281281281282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299299299300300300300299300300301300299300301301301302301301300301303303304303303303302999999999999999299299300299297298296295295296296296295293294295295297297298298297298298298299298298298298299299299299299299299300299298299299298299299298297297295294296296296295295295295296296296295295294294294294294294294295295294294293293294294295295295294295294294295295295294294294294294294294295294294295295295295294294294295294295294294294293294295294292288286290292294294296296296296298297298298298298299299299299299299299299300300299300299299300300299299299299298299300300301301301300299300299300299300301301300300300301301301302301301301301302302302302302302302302301302302301301300301300300301301301300301301302301302302302302302302303303302303302303302303301302302302302302302302301302303302302301301301301302302302304304304303303303302302303303302301301303302303303304305304303303303304303304303303305305303303302303304305305304305305305302304303305304305305307308307307306307307307306306306306305306306306306306308307307307305306306306305305305306305305306308307306305304304303305304304304304303305303303305305305304305305306306306305304304304304302303305305304305305303304303303302301301300300301299299301300300301302301301301301301301302302302302302301302301301301302302302301301301301301301300299300300299299300300300298299300299299299298299300300299300300300301301301301301301301301301300301301302302301302302302301303301302303301303303303303303303303303302303303303303303303303303303303303303303303302302302302302302302301301300300301301301301299300300300300299299299299299299297297298298298298298298298298298298298298297297297297297297297297296297297297296296295295295294294293292292292292293293293292293292292292293293293292292293292292292292292292292293292293293293292292292293293293293292292292292292292292292292292292292291291291291290291291291291292291291291291291291291291291291290291290290290290290290289289288288288288289289288288289288288288287287287287287287287287287287288288288288288288289288288288288288288288288288288288288288288287287286286286286286286285285285285285285284284284283283282281281281281281280280280280280280280280280280280280280281280281281281281281281281282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301299299300300299299298299300301301300300300301301301302302301300301300300301303303302302302999999999999999999301300298297295294295296296294294294294296296297298298298297298298298299299298296297299299299299299298298298299299299298297299298296297296296294296295295296295296295295295295295295294295294295297293294295294294293293294294294295295294295295294294295294293293293294294294294294294295294295295295295295295295295294295294294295295295295293291289288289292294294296296296297298297297298298299298299299299299299299300301300301301301301300300300299300299301301300300301300301299299299300299300301301301300299301301302302301300302301301301301301300302302302302302301301301301300301301300300300300300301301301301301302302301303302303303304304303303302301302302301301302300301300301302302304302302302300301303303305303304304303303303302303303303302302301302302302302303304302303302303304302302304302302303304304304304304305304304305305305304305304304303305307307308307306306307306306306306307307308308306307307307308306306307306306306305306305304306307308307307307306304306305306307305304304306303304303305305306305305306306305305305304305304305305304304303305305305305304304302302302301301301299301298298300300301301301301301302301301301302302302302302302302302301301301301301300300301301300300299300299300300300300300300299299298300299300300299300299300300300300301301301301301302302301301301301301302302301301302302301302301301302302302302303303303303303303302303303303303302302303302303303303302303302302302302302301301301301301300301301300301300300300300299300300299299299299299299299297297299298298298298298298298298298297297297297297297297297297297297297296296295295295295293293293293292293292293293293293292292292293293293293293292292292292292292291291292292292292292292292293293293293292292292292292292292292292292292291292291291291291292291292293292292292291291292291292291291291291291291291290290290290290290289289289288289288289289288288289288288288287286287287287287287287287288288289289289288289288288288288288288288288288288288287287287287286286285286286286286285285285285285284284284284284283282282281281281281281281281280281280280280281281281281281281282282282282282282282282282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301301301298297299300300300301301301301301301302302302302302301300301300300301302303303303303999999999999999294300298297296295294295296296294294293296297297297297297297297298299298298298297296297298299299299299298299299299299298298297298297296296297297296295295296296296295296295295295294294294294293295297293294293294294293293293293293295295295295295294294294293293293293293293293293294293293293294295294294295296296296294295295295294294295294292290289289290292293294296297297297297297297299299299299300299300299299299300300301302302302301301301301300300300301301301301300299300300301300301300300300300301300300301302302301300301300300300300301301301302302302302302301301301300300299300300300301301301301301301302302302302302303303303304304304304303302303302301302301301301301301301300301302301302301301301304305304304304304304304303303303302302301303302302302302303303303302302302303303302303304302303302303304304303304304304304304305306305304304303304306306306307307306306306307307306307307307307309309307306307308307307307307306306304306305306308308308308308307307306305305305307304304306307307304304307305306305305305306305306307306306306305305305304305305305305302302303302302301302301301299300299299301301301301301300301301301302302302302302302302302302302302301301300301300301300301302301300300299301299300299300299301300301300299299301300300299299300300302300301301301301302302301301301302302302302301301302302302302302301301302302302302303302302303303302302302303303303302303303303303303302302302302302302301301301301301300300300301301301301300300300300300300299299299299299299299298297298298298298297297298297297297297297297297297297297296297297297297296296295295295295294293292292292292293293293293293292292293293293293293293293292292292292292291292292292292293292292293293293293293292293292293292292292292292292291292292291291292293293293293292293292292292291292291292291291292291291290290291290291290291290290289289289289288288288288288289289288287287286287286286287287287287287287288288289288288288288288288288288288288288288287287287287287286286286287286286286286286286285285285284284284284283283282281281281281281281281280280280280280280280281281280281281282282282282282282282282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304303301300300298300300300300300301301301302302302302301302301301301300300300301302302303303303999999999999999999999297297294294293294295295294294296297298297297297298298298298298298299298299297298298297298300297298299298298298298297296297297296296296296296296296296295296295296295294295294294294293293294294292294293293294294293294293294294294295295295294294294293293293293293293293294294293294293294295294294295296296296295295295296296295295293292291291290289291293293295297297297298298298299299298298299299298299297299299301301301301301301301300300300300300301301300301300300300301299301301300300300300300300300301301301301300301301300300300302301301302302302302301302300300299300300299299300301301301300301302301302302302303303303304304304304304304303302303302302302301301301301301302302301303303303303303304305304304304302304303303303303301301302302303304302303304303303302303301302302301303304304304304304303304304304304304304306305305304304304304305305303305305306306307307307307306307308308308309309308307307308308307307308306306307307306308308307307307307307306305305304305304304304306306306306306306306306307307305305306306306306306303305305305305305305305304303302301302302301302302301298299300301301302302302301301301302302302302302302302301302302301302302301301300300301300300300300299299299299299299299299301300301301300299300300300301300300300301300301301301301301301302301302302301302302302302302302301302301301302301301302302302302302302302303303302302302302303302303303302303302302302302302302302302302301301300300300300300301301300301300299298299298299299299299299299299299298297298298298298298297298297297297297297297297297297297297297297296296296296295296296296295295293292292292292293293293293293294293293293293293293293292293292292292292292292292292293293293293293293293293292293292292292293292292292293291291291291292292292293293293292293292293291291291292291292292292291290291291291291291290290290290289289289289289288288288289289289288288287288287287287287287287287288288288289289289289288288288288288287288287288288287287287287287286286285286285286286286285286285285285284284283283283282282281281281281281281280280281280280280280280281281281281281281282282282282282282282283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304302302301301301301301300300300301301302302302302301301301301301301301300300301301303302303303301298999999999999999296296293292292294296295294295297298297297298299298299299298298298298299299299298298299300300298298299298299299298296296296296296296295296296296296296296296296296296294294294292293292294294294293294294294293293293293293293294294295295294294294293293293293294293293293294294294294295295294295295296297296296296296297298296295294294293293292289289294295295296297297297297298299299299299298298299299299300299299300300301302301301300300300299300300301301300300301300301301301301301300300300300299300300300300300300299300301300300300300301301301301301301301300300299300299300300301300302301301301300302302302302302302302302303303303303303302302302302302302303302301301301301299302300301300301302302302303304304302301303302303303302302303302302302302304304305304304304304303302301301303303304304304304305305303303305305304304303302304303304304305305305304304306305306307307308306307308309308309309308308308308308308309306307307307308306307308308306306306307307306306305307307304305306306306306305306306305307307307307306306306306304304305305305305304304305303302302302302301301301302300300300301300300301302301301301301301302302302302301301301301301301301301300299300301301299299300299300299300299300300299300299301300300301300301301300301301301300301301300301301301301301300302302302302302302302302302301302302301301301302301302303302302303302302301302303302302303303303302302302302301302302302301302302302301301301301300300300301301301300301300300299298299299299299299299299300299299298298298298298298298297297297297297297297297297297297297297297296297297296296296296295295295294293293292293293293293293293293294293294293294293293293293292292292292292292292292292292293293293293293293292292292292292293292292293293292293293293292292293292293292292292292292292293292292292291292292292292291291291291291291291290290290290289289289289289289289289289288288288288287287287287287287287287288288289288288288288288288287287288287287288288287287287286286286286286285285286286285285285285285285284284284283283282281281280281281281281281281281280280280280281281281281281282282282283283283283283283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304303301301302301299301300301301301301301301301301301301301301301301301300300301303303302301301299999999999999999294295293291288290293295295294294294298298298297299298299299297297297298298298297297298298297297297298299299298298297297296297296297298296297296296296297297296296295296295295294294293294294293294294295295295294294294295294294294295294294294295295295294294294294293293293293293294295294296294293295296297296296297297296298297296294294294293291289292296297297296297297297298298299299299299299298298299299298299299300300302302300300300301300299298300300300300301301301301301301300300301301300299301300300299299299300300299301300300301301301301301301300301301300301300300300300300301302302302301301301302303302302302302302303302303302303303302301303302302302302302301301301300300300300301301302303303302304304302301303302302303303304303303303303303304304303305304305304302303303303302303303304303304304304304303303302303303303302302303302304304305305305306304306305305306305305306308307308308308309308307307307307307307307306305307307307308308308307308306306308309308308307306307307307306306306306306307306306307307307306306306306304304304304304304303304303302302301302302300301300301301299300301300301301302302301301300301302302302302301300301301299299299298299300300300301300297298300300299301299299300300299300301300300300301300300300300301301301301301300300301301301301301300301302302302302302302302301302302302301301302302302302302303302303303302302302302302302303302303302302301302302302302302301301302302301301301301300300301301301301301300299300299299299299299299298299300300297297298298298298298298297297297297297297297297297297297297297297297297297297296296296295295295295295294293293293293292293293293294294294293294294293293293293293293292292292292292293293293293294293293293293292291292292293293293293292292293293293293292293292292292292292292292292293292292292292292292292292291290291290291290290291290290290290289289289289288288288288288288287288287287288287287287287287288288288288288288288288287287287287287287287287287286286286286286285285285286285285285285286285285285285285284283283283282281281281281281281281281281281281281281281281282282282282283283283283283283283283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301304303303303303301301302302302302302302301302302303303303302302300302301301301302303303303302298297294294999290291289289289287286289293295293293295297297298298298298298299299297297297297297297297296297296297297297298299297297298297296297297297297297297297296296296296296296296295296296295294293294294292293293294294295294294294294294293294294294295294293294294294294294294293293293293292293295295296296296295296297297297296296296295297296295293294293294293295294296297297297298298297297298298299298299299299298299299299300300299300300300299300299300300300301300301300299301301301301301301300301301300301299300300300300300300300301300300299300300301301301301301301300301301300301300301300300301302302301300301301302301302301302302302301302303303301302302301301302302301302301301301300301301301301302301302303303303303304302302302303303302302304304302303303304304303303304304304304302303302302303303304304305305304303303303302305303302302302304303303304303304305304304304305305305305305306306306307307305308309308308308307307307307308308307307307309308309308308308309308307308308308306307308307307307306307306307306306306305307306307307304304303304304304303303304303303303302302301302301302300300300301301301300300300302300302302302302301302301301301300300301301300299298299300300299299299297298299300300300299299300301300301300300298300301301301301301301301301300301301300300301301302300300301301301302302302302301301302302302301301302302302302302303303303303303302303303303302303303303303302303302302303303302301302301301301301301300301301300300301301301300300300299299299300298299298299300300298298299298298298298298297297297297297297297297297297297297297297297297297297296296296296296296296295295295294294294293294294294294295294294293294294293293293293293292292292292292293293293293293293293292292292292292292292292292291291291293293293292292292292292292292291291292292292292294292292292292292291291291290291291291290290290290290289289289289289289289289288288288288288288287287287287287287287288288288288288288288288287287287287287287287287287287286286286286286286286286285286286286286285286285285284284284284283282282281281281281281281282282282281281281282282282282282283283283284284284283283283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301303303302302303303302301302302302301302302304303303303303303304303302303302301301302304304303303299298296294292289290289289288288286285288292292292293295298297299298299298298298298297298297297296297297297298296298298297298299298298298297296296297297297297297296296295295295295295295295296296295294293294293293293292292294294294293293294294294294294294294294294294293293294294293292292293294293293294296296297297296297297297297297297296296296295294293294294294294295295295296297297297297296297298298299298298299299300299300300300299299300299299300300300300300299300300301301301301301301302301301301301300301301300300300299300300299300300300300299299300301300300300300301301301302300300300301301301301302301301301302302301299301301300300301301301301302302302302301302301301301301301301301301302302301302301300302303302303303303302303303303303305302303303303304303304304304304305305304305304304302302302304304303305304305303303303303304303303303304304303303304303304303303304305305305306306306305305305306307307307307307307306306306306306307307307307307307309308307309308309308308307307307308307307307307306306307307306306306305305304304305304304304304304304303303304304303302301302301301300299301301300301300301300301301301302301302302302302301301300300300301300301300301301300300300300298298299299301301301301301299300301302301301301302301302301302301301302302301301300301301301300301301301301301301301301302302302302302302302302301300302302301302302302302302303303303302303302303302303303303302303303302304303304303302302301302302302301301301301301302301301301300301299299299299299299298298299299300299300299299298298298297297297297297297297297297297297297297297297296296297296296296296295295295295294295295294295294294294294294294294294294293293293293293293293293292293293292293293293293293293293293292292292292292292291292292291291291292292292292292291291292292292291291292292292292292292292292291291291291291291291291290290290290290290289286290290289289289289289289289289288288288288287287287287288288288288288288288288287287287287287287287287287286286286286286286286286286286286286286286285285285285285284284284284284282282282282281281281281282281282282281281281282282282282283283283283284284284283283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301301302304302302302302302302301300301301302304304304303304303303303303303304304302302302303303303302301299298295293293291292292293999289287286290291291293296298298298298299299298298297297297297296297296297297297297298298298299299298298299298297296297297297298297296296296295296295296295296296296295294294294293292293293292294294294294293294293294294294294294294294294293294294293294294293293294294294294297298298298296296297296297297298297296295294294294294295294294295296296296297297297297297297298298298298298299299299299299299300300300300300300300300300300300300300300300301301301301301301301301301301301301300300300300300300300300300300299299299300300300300300300300301301301301301301301301301301301301302301301301301301302302302301301301301302302302302302302302301301302301301301301301301301301301302302302303303303303303303303303304304304303303303303303303303304304304304304304303303303303303304303304304304304304305305304304305305304304304305304304304304304304305305306306306306306306307307307307307307308308308308308308308308308308308308308308308308308308308308307307307307307307307308307307307307307307307307307306306306306306306306305305305305304304304304303302302302301302302302302301302302302302302302301301300301301301301300301301302301301300300301301300301300301301300300300300300300300300300300300300300301301301301300301301301302301301301301301302302301301301301301301301301301301301301302302301301302301302302302302302302302302302302302302302302303303303303303303303303303303303303303303303303303303303302302301301301301301301301301301301301301301300300300299299299299299299299299299299299299298298298298298298297297297297297297297297297297297297296297296296296296296295295295295295295295294295294294294294294294294294295293294293294294293294293293293293293293292293293293293293293293293293293292292292292291292291291291291292292292292292291291291292292291291291291291292292292291291291291291291291291291290290291291289290290290290290289290290290289289289289289289288287287287287287287288287287288288288287288287287287287287287286286286286286286286286286286286286286286285285285285286285285285285285284284284284283283283282282281282282282282282281281282282282282283283284284284284283283283284283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301303301302303303302303302302303302301301301302303303304305304304304303304303304302302301300298297300301302999999999297999999999999999999999999999285286289291294295297298299299298299298298298298297297297297298298297297297297297298298298299299299298297297298297298297297297296296296296296296297296296295295295294294294293294293294294294295293295295294294295295295294294293294294295295295294295294295295294296297298299300296297297297297296298297297296295295294295294295295295296296296296297297297297297297297297298298299298299299299299300300300300300300300300299300300301301301300301301301301301300301301301301301301300300300300300300300300300300299299299299299300300300300300300301301301301301301301300301301301301301301301301301301302301301301301301301301302302302302301301301301301301300300300300301301301301302302302303303303304303303304303304304304303303303303303303303304303304303304304304303303303304304304304304304304304304305305305305305305305305305305305304304304304305305305305306306306306307307308307307308308308307308308308308307307308308308308309309308309308308308308308308308308308308308307307307307307307307307307306306306307307306306305305305305304304304303303302302302301302302301302302302304302302302302301301301301301302302301301301302301301301301300300301301301301300300300300300300300300300300300300300301300300301300300300301301301301301301301301301302301301301301301300300301301301301301301301301301301301302302302302302302302302302302302302302302303303303303303303303303303303304303303303303303303303303302301302301302301301301301301301301301301301301300300299299299299299299299299299299299299298298298298298298298298298298297297297297297297297297297297296296296296296296296296296295295296295295295295295294294294294295295295295294295296294294294294294293293293293293293293293293293293293293293293292292291291292291291292292292292292292291290291290292292291290291292291291291291291291291291291290291290290290290290291290290289289289289289290289289289289289289289288288287287287287287287287287287287287287287287287287287287287287287286286286286286286286286286286286286286285285286286285285285285285284284284284284283283283282283282282282282282282282281282282283283283283283283283283283283284283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302302302301302302301302302303302302302302301301302302302303304305305304303303302303302302301299296999999298999999999999999999999999999999999999999999999286289293294296297298299299299299298298298297297297298297298297297297297298298297298299298298298298296298297297297296296297296296295296296295296295295295295294294293293292292293294294295295295295295295295295295295295294294294294294295295296296296296296296297298299299298298297297297296296299297298297296295296296296296296296296296296297297297297297297297298298298299299299300300300300300300300300300300301301300300301301300300300301301301301300300300300301300300300300300300300299299299299299299299299299299300300300300300300300300301301301301301301300300301301301301301302301301301301301301301301301301301302301301301301301301301301301300300300301301301301302302302303303303304304304303303303304304304304303303303303303304304304304304304303303303303303304304304304304304304304305305305306306305305305304304304304304304304304305305305305305306306307307307307307307307307307307308308308308308307308308308308308308308308308308307308308308308308308307307307307307307307307306307307307307307307306305306305305305304304304304303303304303303302302302302302303302301302302302301301301301300300302301301301301301301301301301301301301300301301300300300300300300300300300301300301300301301301300300300300301301301301301301301301301302301301301301301301301301301301301301301301301301301301301302302302302302302302302302302302302302303303303303303303303303303304303304303303303303303303303302302302301301302301301301301301301301300301301301300300300300299300299300300300300300299299299299298298298298298298298298298297297297297297297297297297297297296296296296296296296296296296296296295295294295295295295295296295295295296294294294294294294293293293293293293293293293293293293293292292292291291291291290292292292292292291291291291291291292291290291290291290290290291291291290290291290290290290290290290290289289289289289289290290289289289289289289288288288287288287287287287287287287287287287287287286286286286286286286286286285286285285285285285285285285285285285285285284285285285284284284284283283283283283283282282282282283282282282282282283283283283283283283283283283284283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301302302302302302302302302302302302303301302302302302301302301304304304302302303302302301301296296999999999999999999999999999999999999999999999999999999287291294295296298298299299300299299299297297297298298298298298298299298298298297298298298298298298297297297297296297296296296296295296295295296295295295295294293293293293293292292293294294294294294294295295295295294295294293294294295296296297296297297296297297298298297297297297296297298298297298297296296296296296296297297296296296297297297297297297297297298298299298299299300300300301301301301301301301300300301301301300301301301301301301301301300301301301301300300300300300300299299299299298298299299299300300300300300300300301301301301301301301301300300301301301301302302301301301301301301301301301301301301301301301301301301301301300300301301302302302302302303303303303303304304303303304304304304304304304304304304304304304304304304303303303303303304304304304304304304304304305305305305305305305305304304304304304305305305305305305305306307307308308307307307307307307308308308308308308307308307308308308308308308308308308308308308308308308308307307307307307307307307306307306307306306305305305305305305305303304304304303303302302302302302302302302302302302301301301301301301301301301302302301302301301301301300300301301301301301300300300300301301301301301301301301301301301301301300301300301301301301302301302301302302301302301301301301301301301301301301301301301301302301302302302303303303303302302302302302302303303303303303303303303303303304304304304303303304304304303303302302302302302301301301301301301301301301301301301300300300300300300300300300300300299299299299298298298298298298298298298298298297297297297297297297296296296296296296296296296296296296295295295295295295295296295295295295295295296295294294294294293293293293293293293293293293293293293292292292292292290291291291292292292292292291291291292291291292291291290290290290290290290290290290290290290289289289289290289290289289289289289290289289289289289289289289289288288288288288287287287287287287287287287287286286286286286286286286286286285286285285285285285285285285285285285285285285284284284284284284284283283282282282282282282282283282282282282282282283283283284283283283283283283283283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300302302302302302303302303303302302302302300301302302302302299299299302302300300300301301300299296296999999999999999999999999999999999999999999999999999999290293295296297298299298299299300299298297297297298299299298299299298298297297297298298298298299298298298298297297297296296297296296296296296296295296295295295294294294294293292292293293294294295294294295295296295295295294294294295295296296297297296297297298298298298298297297296295298300298298298298297297296295294295297296296295296297298298297297297297297297298298298299299300300300300301301301301301301301301301301302301301301301301301301300300300300300300300300300299299299299299298298298298298298299299299299300300300300300300300301301301301300300300300301301301301301301301301301301301301301301301301301301301301301301301301301301301301301301301302302302302303303303303303303303304303304304304304304304304304304304304305304304304304304304304304304304304304304304305305305305305305305305305305305305305305305305305305305305305305305306306307307307308308308308307308308308308308308308308307307307308308307307308308308308308308308308308308308308308308308307307307307307307307307306306306306306306305305305305305305304304304303303302302303302302302302302302301301301301301301301301300301302302302301301301301301301301301301301302301300301301301301301301301301301301300301302302302301301301301302302302302302302302302301302301302301301301301301301301301302301302301301301302302302302302303303303303303302302302303302303303303303303303303303303303304304304304304303303304303303302302302302302302301301301301301301300301301301301301300300300300299299299299300299300299299299299299298298298298298298298298297298298298297297297297297297296296296296296297296297297296296296296295296296296296295295296295295295295296295295295294294294294294294294294294294293294293293293292292293293292292292291291291291291291290291291291291290292291291290289291289289289290289290290289290290290289289289289289289289290289289289289289288289289289289289289288288288288288288287288288287287287287287286286286286286286286286286286286286286285285285284285285284284285285285285285285285284284284284285284284284283283283283282283283283282282282283283283283283284283284284284284284283283284284284283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301303302303302301302303304304304303302302300301302302302303300299299299298299299299299297297296999999999999999999999999999999999999999999999999999999999291292294296297297298298298299299298298298298298298298298299298299298298298298298297298298298298298299299298297297297296297297297296296296296297297296296295295294294294293293292291292292292293294294294294295295295295295295294295295296295297297297296296298297298298298298298297298296300299299298298299298298298296294293294296296295291296297298298298297297297297298298298298298299299300300300301300301301301301301301301301301300300300300301300301300300300300300300300299299299299299298298298298298297298298298298299299299299299300300300300300301300300300300300300300301301301301301300301301301301301301300301301301301301301301301301301301301300300301301301301302302302302303303303303303303303303303304304303304304304304304304304304304304304304305304304304304304304304304304305305305305305305304305305305306306306306306305305305305305305305305305306306307307307308308308308308308308308307307307307307308308307307307307308308307308307308308308308308308308307307307307307307307307306307306306306306306305305305305305305305304304304304303303303302302302302302302301301301301301301301301301301301302302302301301301301301301301301301301301301301300300301300300301301301301301301302301302302302301301302302302302302302302301301301302302301302302301301301301301301301301301301301301301302301302302303303303303303303303302302303303303303303303303303303303303303304304304304304303303303304303302302302302302301301301301301301301301301301301301301301300300300300300300300300299299300299299299299299299298298298298298298298298297297297297297297297297297296296296296297297297297297296296296295296296296296296296296295295295295296295296295294294294294294294294294294294293294294294293292292292292291292291291291290291291291291291291291290290291290291290289289288289289289289289289289289289289289289289288289289289289289288288288288289289289289288289288288288288288287287287288287287286287286287287286286286286285285286286285286286286285285285284284284285285285285285285285285285285284284284285284284285283283283283283283282283283282282283282283283283283284284284284284284284283284284283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301302302302301301303303304304303302302300300301302302303301300299299299299299298296295294294999999999999999999999999999999999999999999999999999999999290293294294297298298298298298299298298298298297298297297298298298299298299298299298298298299298298299298298298297298297297297298297296296295296296296296296295294293293294293292292292291292292292294293294294295295295296294295296296296296296297297297297297298298298298298298298298297298299298298298298299299298297295292291294297296296296297297298298298298297296297298298298299299299299299300300300300301301301301301301301301300300300301301300300301300300300300300300299299299299299299298298298298298298298299298298299299299300300300300300300300300300300300300300300300301301301301301301301301301301301300300301301301301301300301301301301301300301301301301301301302302302302303303303303303303303303303303303304304304304304304305304304304304304304305304304304304304304304304304305305305305305305305305305305305306306306306305306305306305305305305305306306306307307307307307308307307308307307307307307307307307307306307307307307307307307307308307308307307307307307307306307307307306306306306306306306306305305306305305305304304304304303303302302303302303303302302302302302301301300301301301301301301302302302301301301301301301301302301301301300301300301301301301301301301301302302301302302302302302302302302302302302302302302302302302302302302301301301301301301301301301302302302302302302302303303303303303303303303303303303303303303303303303303303303303304304304304304304304304304304303303302302302302302301301301301301301301301301301301301301300300300300300300300300299299299299299299299299299298298298298298298298298297297297297297297297297296296296296296297297297297296296296296296296295296296296296296295295295295295295295295294293294294295294294294294294293294294293293293292292292291291291290291292291292291291291291290290290290290290290288288288289289288288288288288288288288289289289288289288289289288288288288288289289289289289289288288287288288288287287287287287287287288287287287286286286286285285285285285286285285285285285284284285285285285284284285284284284284284284284285284284284284284284283283283282283283282282282282283283283283284284284283283284283283284283282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301302302301301302302303304303302301300300300301302301300300300299300299299298295294300999999999999999999999999999999999999999999999999999999999999291291294295296297297297298297297298298297297298297297299297298298299298299298298298299298299299298298299298298297298298297297297297297296296295296295296295295294294294295294292292292291291292292292293292293294295295295295295295297296296296297297297297296298298298298298298298298298298298298298298298298299299298296294292999295297296297297297298298299299298298297297298298298299299299299299300300300300300300301301301301301301299300300300300300300300300300300300299299299299299299299298298298298297298298298298298298299299299300300300300300300300300300300300300300300300301301301301301301301301301301301301300300300300300300300300301300301301301301301301301301301301302302302303303303303303303303303303303303304304304305304305305305304305304304305304304304304304304304304304304305305305305305305305305305305305305306306306306306306306305305305305306306307307307308307307307308307308308307307307307307307307307307307307307307307308307307307307307308307307307307307307306307307307306307306306306306306305305305305305305304305304304304303302303302302302303302302302302302302302302301301301302302302302302302302302302301301301301301302302301301301301301301301301301302302301301302302302302302302302302302302302302302302302302302302302302302302302301301301301301301301301301302301302302303302302302303303303303303303303303303303303303303303303303303303303303304304304304304304304304304304303303302302302302301301301301301301301301301301301301301301300300300300300300300300300300299299300299299299299299298298298298298298298298297297297297297297296296296296296297296297297297297297296296296296295296296296296295295295295296295295295294294293294294294294294294294294293293293293294293292292292291291291291291291291291291290290291290291290290289290290289288288289288288288288288288288288288288288288288289288288289289289289288288288288289288288288288288287287288287287287287287287287287286287286286286286286285285285284285285285285285285285285284284284285284284284284284284284284284284284284284284284284284284284284284283283283283283282282282282283283283283284284283283283283283283282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302302302301302302302302302301300299300300300301301299299299299300300298296295295295999999999999999999999999999999999999999999999999999999999999288291294294296296296296297297297297297297298297297298297298298298298297298298298299298298297298299298298298298297298297298298298298298297297297296296296297295295294294294293293293293293292293293293293293294293294294295295295295296297297296296296297297297297298297298298298299298298298298297299298299299299299299298297295292293295296297297298298298298299299299298297297298298298299299299299299299300300300300300300301300300300300299299299300300300300300300300300300299299299299299298299298297297297297298298298298298298299299299299299299300300300300300300300300300300300300300300301301301301301301300301301300300300300300300300300300300300301301300300300300301301301301302302302303303303303303303303303303303304304304304304304304305305304304304304304304304304304304304304304304304304305304304305305306305305305305305306306306306306306306306306306306306306307307307307307307307307307307307307307307307307307307307307307307307307307307307307307307307307307307307307306306307306306307306306306306306306305306305305305305304304304304303303303302303302302303303303302302302302302302302301302302302302301301301301302302302301301301301301301301301301301301301301301302301301301301302302302302302302302302302302302302302302302302302302302302302302301301301301301301301301301301301302302302303303303302303303304303303303303303302302302303303302302303303303303303303303303304304304304304304303303303302302301302302302301301301301301301301300301301301301301301300300300300300300300300300300300300299299299299299298298298298298298298298298297297297297297296296296296296296296296297297297297297296296296296296296296296296296296295296296296294295295294295294294294294294295294294294293295294293292293292292291291290291292291291290290290290290290289290290290289289288288288288288288288288288288288287288288288288288288288289288288289288288288288288288288288288288287287287286287287287287287286287286287287286286286286286285285284285284285285284284284284284284283283284284284284284284284284284284284284284284284284284283284283283283283282283282282282282281281282282283283283282282284283284283282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302302301301300302302302302301301299299300299299299300300298298298298298295293292294296296999999999999999999999999999999999999999999999999999999999291294295296296296296296296297297297297298298299298297298298297297298297297298298298298298298298298298298297297298298298298297298298298297297297297297296296296295295295295295295293293293292293293293293293294294294294295296296296296297296296296297297298298297297299299299299299299299299299299299299300300299299299299297293294295295296296297297298298299299299299299298297297298298299299299299299299300300300300300300300300299299299299299299299299299299299299299299299299299299299298298298297297298297297298298298298298299299298298299299299299299300300300300300300300300300300300301301301301301301301301301300300300300300300300300300300300300300300300300300301301301301302302302302302303302302303303303303304303304304305304304304304305304304305304304304305304304304305305305305304304304304304304305305305305305306305305306306306305305305306306306306306306306306307307307307306307307307307307307307307307307307307307307307307307307307307307307307307307307307306306306306306307306306306306305305306305305305305305305305304304304303303302303303303303302302303303302302302302302303302302301301301302302302302301302302302302302302302301301301302301301301301301301301301302301301302302302301302302302302302302302302302302302302302302302302302302302301301302302301301301301301301302302302302303303303303303303303304303303303303303302302302302302302303303303303303303303303303303304304304304303303303303302302302302302302301301301301301301301301301302302301301300300300300300301300300300300300300300300299299299299299298298299298298298298298298298297297297297297297296296297297297297298298297297296297297297296296296296296295295296294295295295295295295294295296295295295294294293293294293293293292291291291290291291290291290290290289289290289289289289290289289288287287288288289288288288288288287288288288288288288288289288288287288288288288289288288288288287288286287287287286287287287287286286286285285285285285284284284284284284284284284283283283283283283283283284284284284284284284283284283284284284284284284284284284283283283283283283282282281282282283284283283283283283283283283282283282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302301302302301302302302302302302300299300300299299298299299298298298298297295291291294296999999999999999999999999999999999999999999999999999999999289292294294295295295295295295295296297297297297297298297298298296296298297298297297298298298298298297297298297298297297298298298298298298298297298297297297296296296295295295295295294293294293294293293294294294294294295296296296296296296296296296297297298299298299299299299299298299299300300299300300300299299300299299297294294295295296296296295297298299299299299299299298298298298299299299299299300300300300300300300300300299299300299299299300300299299299300299300300299299299298298298298297297297297297297298298298298298298298298299299298299299300300300300300300299300300300300300301300300301301300300301300300300300300300300299299300300300299300300300300301300301301301301302302302303302302303303303303303303304304304304304304304305304304305305305305305305304304305305305305305305305305305305305305305305305306305306305306306306305305306306306306306306306307307307306306307307307307307307307307307307307307307307307307307307307307307307307307307307307307306307306307306306306306306305305305305305305306305305305304304304303302302302303303303302302302303302302302302302302302302302302302302302302301302302302302302302302302302302301301301302302301301301301301302302302302302302302302302302303303302303302302302302302302302302302302302302302301302302302302301301301302302302302303303303303303303303303304303303303303303303303302302302303302303303303303303304304304304304304304304304304304303303302302302302302302302301301301301301301301301302302301301301300300301301300301300300300300300300300299299299299299298298299298298298298298298298297297297297297297297297297297297297297297297297297297297297296296295295295295295295295295295295294295294294294295295295294294293293293293292293292292291291291291291291291290290290290289289289289289289288289289289289288288289289289288288288288287287287287288288288287287288288288287287287287288288288288288288288287287287287286286286286286287286286286286286285285285285284284284284284284284284284283284284283283283283284284284284284284284284284284284285285284284284284284284283283283283283283282282282282282282283283283283283283283283283282282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299300301301301302303302302302304301300299299299299299298298298298298298298296292290293296295999999999999999999999999999999999999999999999999999999290294295295296295295295295295295296297297297297297297297297297297297297297297298297297298298298297297297297296297297298298297298297298298298297297297297296297296296296295295294295294294294294294294294294293293294295296296297297296296295295296296297297298298299299299300300300299299300300300300300300299299299300300299298295295295296296296295999296298298299299300300299299299298298299299299299299299300300300300300300300300300300299299299299300299299299299300300299299299298298298298298298297296297297297297298298297298298298297298298298298299299300300300300300299300300300300300300300300300300301300300300299300300300300300299299299299300300300300300300300301301301301301301302302302303302302302303303303303303304304304305305305305305305305305305305305306305305305305305305305305306306306306306305305305305305305306305306306306306306306306306306306306306306306307306306307307307307307307307307307307307307307307307307306306306307306307307307307307307307307307307307307307306306306306306305305305306306305306306304304304304304303302304303303303303303303303303303303303303303303302302302302302302302302302302302302302302302302302302301301301302301301301301301302302302302302302302303302302302303303303303303303303303303302302302302302302302302302302302301302302302302302302302302303303303303303303303303304304303304303303303303302302302302302303303303303303303303304303304304304304304304304303303302302302302302302302301301301301301301301302302302302302301300300301301301301300300300300300300299299299299299299298298298298298298298298297297297297297297297297297297297297297297297297297297297297296296296295296295295294295295295295295295294294294294294294294294294292293293292291292292292291291291291291290291290289289289289289288288288288288288289288289289288288289288287288288287287287287287287287287288288288288288287287287287288288288288288287287288288287287287287287287286287286286286286286286286285285285284284284284284284284283284284284284283283283283283284284284284285284284284284284285284284285285284284284283283283283282282282282283283283283283284283283284284283282283282283282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298299301300301303302302300301303301300299299298298297297297297298297297296293292292295295999999999999999999999999999999999999999999999999999999291294295296296296296296296296296296296296297297297297297297297298297296299299298298298300298298298298298298297298298297297298299297297298297297297297297296297296296296295295294295294294294294294294294294294294294295296296297296296296295295295296297298298298299299299299300300300299299299300300300300299299300300299299299296296296296296295295296296297298299299300300298298299298297298298299299299299300300300300300300300301300299299299300300300300300300300299300299299299298298298298298297296297297296297297297297297298297297297298298298298298299299299300300300300299299300300300300300300300300300300300300300300299299299300299299299299299299299300299300300300301301300301301301302302302302301302303303303303303303304304305305304305305305305305305305305305305305305305305305305306306306306305305305305305305305305305305305305305305305306306306306306306306306306306306307307307307307307307308308308307307307306306307307306306306306306306306306306306307307306306306306307307306306306305306306305305306306305305305305304304304303303304304303303303303304303302303303303303303303303303303302302302302302302302302302302302302302302302301301301301301301301301301301301302302302302302301302302302302303303303303303303303303303302302302302302302302302302302302302301302302302302302302302303303303303303303303303303303303303303303303303302302302302303302303303303303303303303303304304304304304304304303302302302302303303302302301301301301301301301301302302302302301301301301301301301300300300300300299299299299299299299298299299298298298298297297297297296296296296296296297297296297296296296296296296296296295295295294294294294294294294294294294294294294294293294293294293292293293291292292292292292292291290290290290290290289289289289289288289288289288289290290288289289289288288289288288288288288288288288288288288288288288287287288287288288288288288288287288287287287288287287287287286286287286286286286285286285285285284284284284284284284284284284284283283283283283283284284284284284284284284284285284284284284285285284283283283283283282283283283283282283283283284283283284283283283283283282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298299300301302303302302302300301299299299298297298298297295296296297297296294291291293294999999999999999999999999999999999999999999999999999291293295295295296296296296296296296296296296297297297297297297297297298298299298299299299299299298298298297298298298299298297298297298298298298298298297297297297297297296297297296295295295295295295296296296295295296296297298297297297297296295296297299299299299299299299300300301300300300300301300301301300299299299299299298297298297296296296295296296296297298299300299299299299299298298298298298298298299299300300300300300299299299299299299299300299299299299299299299299298298298298297297298297297297297297297297297297298297297297298298298298298298299299299299299299299299299299299299299300300300299299299299299300300300299299299299299299299299299299299299300300301301301301301301301302302301301302303303303303303303304304305304304305305304304304305305305305305305305305306306306306305305305305305305305304305305305304305305305305305305306306306306306305306307307307306307307307307307307307307307307307307306306306306306306306306306306305306306306306306306306306306306306306306306305305305305306306305305305305304304304303304303303303303303303304303303304302303303303303303303303302303303302302302302302302302302302302302302302302301301301301301301301301301301302302302302302302302302302302303303303303303303303303303303303303303302303302302302302302302301301302302302302302302302302303303303303303303303303303303303303303303303302302302302302302302303303303303303303303303303303303303303303303302302302302302302301301301301301301301301301301302302302302301301300300300300300300300300300299299299299299299298298298298298297298298298298297297297297297297296296297297297297297297297297296297296297295296296295295295294294295295294295294294295294294294294294294294294293293293292292292292292291292291291290290291290289289289289289289289288288288289289290289289289289289289289289288288289288288288288288288288288288288288287288288288288288287288288288288288287287287287286286287287287286286286286286286286286286286285284284285284284284284284284284283283283283284284284284284284284284284284284284284284284284285285285284284283284282282282282284283283283283283283284284284284283283283283282283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300300300300302301302302301300300298299298296298297297297296295296296296295292291291294999999999999999999999999999999999999999999999292292293294295294295296296296296296296296296296297297297297297297297297297297298299298298298299298299298298299299298299299298298298298298297298298297298297297296297296296296296295297296297296296296296296296296296296297296297298298298298298297296296297298299299299299300300300300300300300300301301301301301300301300299298298298298298298297297297296297297297296297298299299299299299299299299299298298298298299299299300300300300300299299300300299299299299299299299299299298298298298298298298298297298298297297297297297297297297297297297297297298297298298298298298299298298299299299299299299299299298299298298298299299299299300299298299298299299299299299299299299299300300300300300301301301301301301301301301302302302303303303304304304304304304304304304304305305305305306305305306306306306306305305305305305304304304304304304304304305305305305305305306305305305306306307307307306306306306306306307307307307306306306306305305305305305305306306306305305306306306306306306305305305305305305305306306305305305305305305305304303303303303303303303303303303303303303303302303303303303303303303303302302302302302302302302302301301302302302302301301301301301301301300301301301301301301302302302301301301302302302303302302303303303303302303303303303302302302302301301301301301301301301301301302302302302302303303303303303303303303303303303303302303302302302302302302302302302303303303303303303303303303303303303302302303302302302302302302301301301301301301301302302302302302302301301301300300301301300300300300300299300299299299299298299299298298298298298298298297297297297297297297297297297297297296296297297297296297296296295295295295295294295294295295295295295294294295294294293293293294293293292292292291291291291291291291291290290289289289289289289289289289288290290289289289289289289289288289288288288288288288288288288289288288288287288287287287288288287288288287287287287287287287287287287287287286286286286286286286286286286286285285284284284284284284284284284284284284283283283283284284284283284284284284285285284285284284284284283283283282282282283283283283283283284284283283283283283284284284283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299300300299299300300300300300297299297297297296295296296296295295295296296293291290292999999999999999999999999999999999999999999292293294294294294294294296296296296295296296296296297297297297297297297297297298298298297298298298298299299299298299298298299297298297298297298298298298297297297297296297296296297297298297297297296296296296295296296297297296297298298298298297297296296297298299299300300300300300300300300301301301302302302302301300301300999999999999297298298297297297297298298294296298299299299300300300300300300299298298298299299299300300299300299299299300300300299299299299299298298298298298298298298298298297297298298298298298298298298298298298298298297298298298298298298298299300299299299299299299299298299299299299299299299299299299299299299299299299299299299299299299300300300300300301301301301301301300301301301301301302302302302303303304304304304304304304304304304304304305305306306306306306306305305305305305305305304304304303303303304304305304304304305305305305305306306306306306306306306306306306306307306306306306306306305305305305305305305305305305305306306306306306306305305305305305305305306306305305305305305305304304304303303303303302303302302303303303303303303303303303303303303303303302302302303302302302302302302301301302302301301301301301301301301301301301301301301301301302301301302302302302302303303303303303303303303303303303303303303303303302302302302302301302302302302302302302302302303303303303303303304304304304304303303303303303302303303303302302302303303303303303303303303303303303303303303303302303303303302302302302301301301302302302302302302302302302302301301301301301301301301300301300300300300299299299299299299299298298299298298298298298298298297297297297298298297297297296297296296296296296296296296296295295294295295295295294295294294294294294294294293293293293293292291291291291291291291291291290290290289289289289289289289289289289289289289288289289289289289288288288288288288288287288288288288288288288288288287287287287288288288287287288288287287287287287287287287286286286287286286286286286286285286285285285284284284284283283283283283283283283283283283283283283283283283284285285284284284284283283283284283284282282283283283283283283283283285284284284283285283283283282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301299299299299300300300300298297298297296296296295295294294294294295296294293292292294999999999999999999999999999999999999292294295295295295295293294295295296295296296297296296297297297297297297297297296298298298298298298298299298298299299298297298297297296297298297297298298298296297297296296297297297297297298297298297296297296295296296296297297296298298298298298296296297298298298298299300299300300300300300301300301301302302302302302301999999999999999999999999298297298298298299299999295296298299299300300300300300300300298297297298299299300300299300299300300300300300299299299299299298298298298297297298298298298298298297298298298298298298298298298298298298298297298298298298299299300299300299300299299299299298298299299299299299299299299299299299299299299299299299299299299299300300300301301301301301300301301300301301301301302302302303303303303303304304304304304305304304304304305305306306306305305305306305305305305305305304304303304304304304304304305305304305305305305305306306307307306307306307306307307307307307307307307306306306306306306306305305305305305305306306306306306306306306305305305305305306306306306305305305305305304304304304303303303302303304302303302303303303303303304304303303303303303302302302302302302302302302302301301302302302301301301300300301301301301301301301301302302301302302302302302302302303303303303303303303303303303303303303303303303302302302302302302302302302302302302302302303303303303304304304304304304304304304303303303303303303303303303302302303303303303303303303303303303303303303303303303303303303302302302302302301301302302302302302303303302302302302302301301301301301301301300301300300300299299299300300300300299299299298298298298298298298298297298298297297297297297297296296296296296296296296296296295295295295294294294294294294294294294294293293293294293293292292292291291291291291291291291291290290290290290290289289289289289289289288289289289288289289288288288288288288288288288288288288288288288288288287287287287287287287287287288288287287287287287287287287286287286286287285286286286286286285286285285285284284283283283283283284283283283283283283283283283283284284284283284283284284284284284283283283283282283283284284283283284284284285284283284284284284284283283282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300300297298300300300300300299300297297297296296293293294294294294295296295294292293294294292999999999999999999296295294294295295295295295295294294295295296295296297296296296296296297297297297297296296297298297297298298298298298298298297298298297298298298298298297297297297297297297297297298297297298297298298298298298297297296297296296296297296297299298298298297296297297298298298299300300300300300300300300300301301302303303303302302301999999999999999999999999999999297297297297298999999296297298299300300300300300300300299297297298299299300299299299300299299300299299299299298299299298298298297297297298297298298297297298298298298298298298298298299299298298298297298298298298299298299299300300299299299299299299299299299298298298299299299299299299299299299299299299299299300300300301301301301301301301300301301301301302301301301302302303303303303303304304304304304305304305305305305305306306306305305305305305305305305305305304304304304304304304305305305305305305305305306306307307307307307307307307307307307307307307307307307307306306306306305305305305305306305306305306306306306306306305305305305304305305306306306305305305305305304304304304303303303303303303303303303303303303302303303303303303303303303302302302303302302302302302302301302302302301301302301300301301301302301301302301301302302301302302302302302302303303303303303303303303303303303303303303303303303302302302302302302302302302302302302302302303303303303303303304304304304304304304303303303303303303303303302302302302303303303303303303303303303303303303303303303303303303303302302302302302302302302302303303303303303302302302302301301301301301301301301301300300300300300300300300299300299299299299299299299299298298298298298298297298297297297297296297296296296296296296296296295295294295295295295294294294294294294294293294293294293293292292292291291291291292292291291290290290290290290289289289289289289288288289289288288289289289288288288287288288288288288288288288288287288288287288288287288287287286287288288288287287287287287287287287287286286286286286286286286287285286286284284284283283282283283283283283283283283283283283282283283284284284283283284283283284284284284284284283283283283283283283285284284284284284284284284284284285285284284283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296295298299300300300300300300299298297296295294292293293293293294295295294294293293293292292292292293999999295294294295296296296295295294294294294295295295296296296296296296296296297297296295296297297297296297297298298298298298297297298298298297298298298298297297296298298297297297298298298298298297298298298297298298297298297296297297297298298298299298297297297296296298299299300300300300301301301301300301301301301303302302301301301999999999999999999999999999999999999999999999999999297298299299300300300300300300300299298298298299299300299299300300299299299299299299299298298298298298298297297297297297297298297298298298298298298298298298298299299298298298298298299299299299299298299299300300300300299299299298299298298298299299299299299299299299299299300299299300300300300301301301301301301300300300300300300301301301301301302302302302303303303303304304304304305305304305304305305305306305305305305305305304304305304304304304304304304304304305305305305305305305306306307307307307307307307307307307307307307307307307306307306306306306306306306305305305305305305305305305306306306306305305304304304305305305305305305305305305304304304304304304303303303303303303303303303303303303303303303303303303303303302303303302302302302302302302302302301302301301301301300301301302301301301301301301302302302301302302302302302303303303303303303303303303303303303303303303303303303302302302302302302302302302302302302303303303303303303304304304304304304304304304303303303303303303303303302302302302302303303303303303303303303303303303302303303303303303302302302302302302303303303303303303303303303302302302302301301301301301301300301301300300300300301300300300300300300300299299299298299299299298298298298297297297297297297296297296296296297296296296296295295295295295295295295295294294294294294293294294293293292292292291291291291291291290290290290290290290290290290289289289289289289288289289289289289289289289289288288288288287288288288288288288288289288288288288287288287287287287288287288288287287287287287287287286286286285286286286286286286285285285285284285284284283283285284283283283282283283283283283283283283283284284284283283284284284284284285284283284283283283284283284284283283283283284284284284284284284284284283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298297299299300300301300299299297296293293292293293293293293295295295294294294293293294294294293294294295294295294295295295294294293293293293293294294293294295296296296296296296296296296297297297298298298298298297297297297297298297297298298298298298298297297298298298298297298298298298299298298299298297297298297298298297297298297297298298298297297298297297296297298299299300300300301300301301301300301302301302301302301301300999999999999999999999999999999999999999999999999999294298298299299300300300300300300299299298298298299299299299299300300299298299299299299298298298298298298298297297297297297298298297298298298297298297297298298298298299298298298299299299299299299300299299299300300300300300299299299299299298298299299299299299299299299299300300299299300300300300301301301301301301301300300300301301301301301301302302302302302303303304304304304305304305305304305305305305305305305305305305305305305304304304304304304304304304305305305305305305305305305306306307307306306306306307307307307307307307307307307307307306306306306306306306305305305305305305305305305305305305305305305305305304305305305305305305305304304304304304304304304303303304303303303303303303303302303303303301302303303303302302302302302302302302302302302302301301301301301301301301301301302302301301302301301301302302302302302302302302302303303303303304303303303303303303304303303303303303303303302302302303303303303303303303303304304303303304304304304304304304304304304304304303303303303303303303302302302302303303303303303303303303303302302303303303303303302302302302302302303303303303303303303303303303302302302302302302301301301301301301301300300300301301299300300300299299300299299299298298298298298298298297298298297297297297297297297297297297296296296295295295295295295295295295295294294294294294294294293293293292293292292291291290292291291291291290290290291291291289289289289289289289289289289289289289289289289289288288288287287287287288288288287288288287287287288287286286287286288287288288288287287287287287287287285285285285286287286286286286285285286285285283284284284283284284283283283283283284283284283283284283284285284284285284284284284284284284284283284284283284283285284283284284283283284283283284284283283283284283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298299299299300300301300298297297294294293293293292292292293294294294294294293293294294293293294294294294294293294294294293293293292293292292292293293293294295295295295295295295296296295296296296296296296297296296297297297297297297298299298298297298297296296297298298298299298298298298298298298297297299298297297297299299298298298298298298297297298298297298298298298299300300301301301301302301301301302302302301301301301301999999999999999999999999999999999999999999999999999295299299299299300300300300300300300300299298298299299299300299298299299298298298298298298298298298298298297297297297297297298298298298298298298298298298297298298298299298298298299299299298298299299299299299299300300300300299299299299299298299299299299299299299299299299300300300299300300300301301301301301301301301300300301301301302301301301302302302302303303304303304304304305305305305305305305305305305305305305305305305305304304304304303304304304305305305305305305305305305306306306306306306306306306307307307307307307307307307307307306306306306306306305306305305305305305305305305305305305305304305305305305304304304304304305304304304304304304304304304304303303303303304304303303303303303303304303303302303303303303303302302302302302302302302302302301301301301300300300301301301301301301301301302301301301301302302302302302302303302303303303303303303303303303303303303303303303303303303302302303302303303303303303303303303303304303303304304304304304304304304304304304304304303303303303303303302302302303303303303303303303303303302302302303302303303303302302302302302303303303303303303303303303303303302302302302302301301301301301301301301301301300301301300300301300300299299299299299299299298298298298298298297297297297297297297297297297297297296296296295295295295294295295295295295295294294294294294294294293293293293292292291290291292292291291289290291291291291291290290289289289289289289289289289289289290289289289288288287288287288287287287287287287287287287287287287286287287287288287287288287288287286287287287286285286286286286286286286286285285285284284284284285283283284284284284283283283283283283284283283284285285286285285284284284284284284283283284283284284283283284283284284285285284284283283283283283283283283282283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300300299300300300300299299298295294294293294293292292292293295294294293293294294293293292293293293293294294294294293293293293292292292292291292292292293293294294294294295295296295296296296296296294296296296296297297296296296297298298298297298297297297297297297297298298298298298298298298298298297298298298299299299299299298298297298298298298298299299299298298298299300301301302302302302301301301301302301302302302301301999999999999999999999999999999999999999999999999999297298299299299300300300300301300299300299298297298299299299299299299299298298298298298298298298297297297297297297297297298298298298298298298298298298298297298298298298299299299299299299298298299299300300299299300300300299299299299299299299299299299299299299299299300300299299299300300300300301301301301301301301301301301301301301302301301302302302302302302303303303304304305305305305305305305305304305305305305305305305305305305304304303303304304305305305305305306306306306306306306306306306306306306306306307307307307307307307306306306306306306306306306305305305305305305305305305305305305305304305305305304304304304304304304304304304304304304304304304303303303303303304304303303303303303303303303303303303303303303303303302302302302302302301301301301301300300300300300301300301301301301301301302301301301301301302302302302302302303303303303303303303303303303304303304304304303303303303303303303303303303303303303303303303303303303304304304304304304304304304304304304304304304303303303303303303303303303303303303303303303303303303302302302303302303303303302302302302303303303303303303303303303303303303302302302302302302302302302301301301301301301301301300301300300300300300300300300299298298299298298298298298298297297297297298297298297297297297297296296295295295295295295295295295295295295294294294294295294294293293293293292291291291291292291291291291291291290291291291290289289289289289289289289289289289289290289289288289288288287287287287287286286287286287287287287286287286286287287287287287287287287287287287287286286286286286286286286286286286285285285284284284284285284284283283284284283283283283283284284283284285286283284284284283283283284284283284283283283283284284284284284285285284285283284282283283283283283283283282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301301300300300300300300299299299295295295294292293293293293293294294294294294294293293292292292293293293294294294294294293293292291291291292291291291291292293293293294294295296295295296296296295295296295295296297297297296296296296297297297297297297296296297297297297298297298298298298298298297298297297298297298299298299299299298298299298298298298300299298298298298298299300301302302301301301301300300300301301301301300999999999999999999999999999999999999999999999999999999297298299298299300300300300300300299300300299298298298299299299299298299298298297297298298298298297297297297297297297298298298298298298298298298298298297298297298298298298298298298298299298298299299299300300299299300299300299300300299299299299299299299299299299300300300300299299299300300300301301301301301301301301301301301301302302302302302302303302303303303303304304304304304305305305305305305305305305305305306305305305306305305305304304305305305305305306306306306306306306306306306306306306306306306306306306307307307306306306306306306306306306306306305306306306305305305305305305305305305304305305305305304304304304304304304304304304305304304304304303304303303303304304303303303303303303304303303303303303303303302302302302302302302302302302301301301300300300300301301301301301301301301301301301301301301302302302302302302302302303303303303303303303303303304304303304304304303303303303303303303303303303304304303304303303304304304304304304304305304304304304304304304304304304304303303303303303303303303303304304303303303303303303303303302303303303303302303303303303304304303303303304303304304303303303302302302302302302302302302301302301301301302301300301301300300300300300300299299299299299299298298298298298298297297297297297297297297297297296296296295295295295294294294295295295295295295295294295294294294293293293292292291291291291292291291291291291291291291291291290290290289290290289289289289289289289289289289288289288288287286287286287287288287287286287286287286286286285287286287287286286286286287287287287286285286287287287286286286286285286285284284285285284285284284284284284284284283283283283283283283283283283282282283283283282283284283284283284283283284284284284284284284284285284284285285283283283284284283283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303300302301301300300302299299298295295295294293293293293293293295295295294294294293292292292293293294293294293294293293292292291291291291291291291292292293293294294294295296296296295295295294295295295295295296297296297296295296297296295296296296296297297297297297298298297298297298298298297297297297297298297298299299298299299299299299299300300300300300300299298298298299299300300301300301300300299299300300301301300300999999999999999999999999999999999999999999999999999295296297298298298299300299300299300300300299299298297298298298298298298298298297297298297297297297297297297297298298297298298298298297298298298298298297297297297298298298297298298298298298298299299299299299299299299300299300299300300300299299299299298299299299299300300300299299300300300300301301301302302302302301301301301302302302302302302303303303302303303303303304304304304305305305305305306305306306305306306306306306305305305305305305306305305306306306306306306306306306306306305305306306306306306306306306307307307307307307306306306306306306306306306306306306306305305305305305305305305305305304305304304305304304304304304304304304305304304304304304304304304303303304304304303303303302303304303303303303303303303303302302302302302302301302301301301301300300300300301301301301301301301301301301301302302302302302302302302302302303303303303303303303303303303304303303304303303303303303303303303304303303304304304304304304304304304304304304305305305305304305305304304304304304304304304304303303303303303303303304303303303303303302303303303303303303303303303303303303303303303302302303303303303303303303302302302302302302303302302302302301301301301302301300301301300300300300300300299299299299299299298298298298298298297298297297297297298297297297297296296296295295295295295295295295295296295295295295295294294294294293293293292292292292292291291291291292292291291291291291291290290290290290289289289289289289289289289289288287288288287287286286287287288287286287288287287287286287286286286287287286286287287287287287287287287287287286287286286286286285285285284284285285284285285284285284284284284284284284283283283283282283283282283283282283282283283283283282283283283284284284284284284284284284284284284284284283283283284284283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298301300299299299300299299298295295296294293293293293293293294295294294294294292291292292293293294293293293293293292291291291290291290291291291292293293293294294294295296296296295294294294295293294294294295295297296296297295296296296296295296296297296296297297297298297298298298297298298298298298299299298298298299298299298299299299299300299300300300299299298298298298299299300299299299299299299299299299299299300300999999999999999999999999999999999999999999999999999295296297297297298298299299300299299299299299299299297297298298298297297298297298298298297297296296296297297296297297297298298298298298298298298298298298298297297298298298298297297298298299298299299299299299299299300300300299299300300300300299299298298299299299299299300299299299300300300300301301301301301301301301301301301302302302302302302303303303303303303303304304304304304305305305305305306306306306306306306305305305305304305305305305305306306306306306306306306306306305305305305305306306306306306306306306307306307307307306306306306306306306306306306306306305305305305305304305304304305305305305305304305305304303304303304304304304305305304304304304303303304303304304304304303303303302303303303303303303302303302302302302302302302302302302302301301300301300300300301301301301301301301301301301301302302301302302302302302302302302303303303303303303303303303303303303303303303303303303303304303304303303304304304304304304304304304304304304304305305304305305305305304304305304304304304304303303303303303303303304303303303303303302302303302302303303303303303303303303303303303302303303303303303303303302303302303302302303303302302302302302301301301301300301301301300300299300300300299299298298298298298298298297298298298298297297297297297297296296297296296295296296295295295295295296295295296295295295295295294294294294293293294293293293292292290291291292292292292292292291291291291290290290290290290290290289290289289289288288288288287287286285286287287286286287287287287286287287286286286287287287287287287287287287287287287287286286286287286286286286285285284284284286285285285284285285284284284284284283283283284283282283283283283283284284283283283283283283282282283283283284284285284284284284284284284284284284283284284284283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298299299299299298296297299295296294294293293293293293294294294294294293292292291292293293293293293292292292292291291290290290290290290291291292292292293294295295296297296295295294294294294293293293294295294295295295295295295296295295295295296297297296297297297298297297297297297297298297298298298298298298297297298298298299299299299299299300300300300299299299299299299299300300300299299298298298299298298299299297999999999999999999999999999999999999999999999999999999297297297297297298299299299299300299299299299298298297297297297296297297297298298297297297296296296297296297297296297297298298298298298298298298297297297297298298297297297297298298298299299299299299299299299300299300300300300300300300300299299298299298299299299299300299299299300300300301301301301301301301302301301301302302302302302302303303303303303304304304304304304304305305305305305306305306305305306305305305305305305304305304305305305306306306306306306305305305305305305305306306306305306306306306306307307306307307307306306306306305305306305305306305305305305305304304304304304304305304305305305304304304304304303304304304304304304304304304304304304304304303303303303304303303303303302302302303303302302302302302302302302302302302302302301300301300300301301301301301301301301301301301301301302302302302302301301302302302302302303303303303303303303303303303303303303303303303303303303304303304304304304304304304304304304304304304304304304305304305305305305305305304304304304304304303303304303303304304304304303303303303302302302302302302302303303303303303303303303302302303303303303303303303303302302302302302303302302302302303302302302302301301300301301301300300300300300299300299299299298299298298298297297298298298298297297297297297297297296296296295295295296295295295295295295295296295295295295295294294294294294293293294293293293292291291292292292292292291292292291291291291290290290290290290290290290289289289288288287287287286286286286286287286287287287287286286287287287286287287287287287287287287286287286286286286287286286286286285286284285284284284285285285285285285285285284284284285284284285284284284284283283284284284283283284284283282282283283283283283284284284284284284284284283284284284284284284284284283283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297297297298298298297297297296295295293293292293293293294294294294294293292292292292293293293293292291291291291291290290290290289290290291291292292292293294295296296296296295294294294293293294294294294294294295294294295295295296295296295296296297297296296297296297297297297297297297297298299299298298299299299298299299299298299299298298299300300300300300299299299299299300300300300299299298298298298298298298298297999999999999999999999999999999999999999999999999999999296297297296297298298299299299299299299299299299298297297297296296296297297297297297297297296296296297297297297297297298298298298298298298298297297297297297298298297297298297298298298298299298299299299299299300299300299300300300300300300299299298298298299298299299299299299299300300300301301301301301301301302302302302302302303303302302303303303303304304304304304304304304305304305305305306306305305306305305306304305305305305305305305305305306306305306305305305305305305305305305305305305305306306306306307307306306306307306306306305306306305305305305305305305304304304304304304304304304304305305305304304304304304303304304303303303304304303303304304303303303303303303303303303303303303303303303303303302303302302302302302302302302302302302301301301300301301301301301301301301301300301301301301302302302302302302301301301302302302302302303302302302303303303303303303303303304303303303303304303304304304304304303303303304304304304304304304304305304304304305305305305305304304305304304304304304304304304304304304304304303303303302302302302302302303303303303303303303303303303303303303303303303303303303302302303303302303302302302302302302301302301301300300301300300301300301300299299300299299299299299298298298297297297297297297297297297297297297297296296296296295296295295296296295296295295295295295295295295296295294293294294293294294293293293293293293293292292292292292292291292292292291291291291290290290290290290289289289287288287287286286286286287287287287287287287287286287287287286286287287287286286287287286287286286286286286286286286286285285285285285284285285284285284285285285284284285284284285285285285283284284284284285283284284283283284283282283283284283283283284285285285285284283284284285284284283285284284284284284283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299298298298299300297297297296295295294293293294294294294293294293292291291291291292293292291291290290290290290290289289289288289290290291291292292293295296296296296295296294294293293292293294294293293294295295295295295294295295296296296296297297296296296296297298297296297297297298298298298298298298298298298299299298299298298299299299300300300299299299300299298299300299299299299299299299299298299298298298298299999999999999999999999999999999999999999999999999999999295296296297298299299299299299299299299300299298297297296296296296297296296296296296296296296296297297297297297296296297297297297298298298298297297298298298298298298298298298298298298299299299299299299299300300300300300301300300300300300299298298298298299299299299300299299300300301301301301301301301301301301301302302302302302302303303303303304304304304304304304304305305305305305305305306305306306306306306305305305305305305305305305305305306305305305305305305305305305305305306305306305306306306306306306306306306306306306306306306306305305305305305305304304304304304304304304304304304304304304304304304303303303303303303303303303303303303303304303303303303303303303303303303303303303303303303303303302302302303303302302302302302301301301301301300301301301301301301301301301301301301301302301302302302302302302301301302302302302302302302302303303303303303303303303303303303303303303303304304304304304303303304304304304304304304304304304304305304304304305305305305304304304304304304304304304304304303303303303303303303302302302302302302302303302302302303303303303303302302303302303303303303303303302303303303302303303302302302302302302301301301300300300300300300300300300300299299299299299299299298298298297297297297297297297297297297296296296296296296296296296296296296296296296295295296294295295295294295295294294294294294294294294294293293293294293293293293293292292292292292292292291291291291291290290290290290289289288288287287286286286287287287287287287287287287287287287287287287287287286286287287287287286285286286286285286285285285285285285285285284285286285285285284285285284285285284285285285286286285285284284285285284284284283284284283283283283285284284284284285285285285285285285284284283284283284284284284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298297298299301299298296296296296295295294295294294294294293293292291291290291292292291291290289289290289289289288289289288289288289290291292292293294295295295295296295295293292292293293294293294294294294295295295295295295296296296296296296296296296297296297297297297297297297297298298298298299298298298299298299299298298299299299300301300300300300300300300298298299299299299298299299299298299298298298299298999999999999999999999999999999999999999999999999999999999999294296297298298299299299299300300299299298298298297296296295296295296296295296296295295296296296297297296296296297297297297297298298299298298298298298298298298297298298298298298298298298299299299299300300300300300300300300300300300300299299298298298299299299299300299299300300300301301301301301301301301301301301302302302303302302303303303304304304304304304305305305305305305305305305305306306305305306306305305305305305305305306305305305305305305305305305305305305304305305305306306306306306306306306306306306306305306306306306306306305305305305305304304304304304304304304304304304304304303303304303303303303303303303303302303304303303303303303303303303303303303303304303303303303303303303303303303302302302303302302302302302301301301301301301301301301301301301300301301301301301301301301302302302302302301302302302302302302302302302303302302303303303303303303303303303303303303303304303304304304304304304304304304304304304304304304304304304304304304305305305305305304304304304304304304304304304304304304303303303303302302302302302303302303302303303303303303303303303303303303303303303303303303303303303303303302302302302302302302301301301300300300300300300300300300299300299299298299299299299298298298297297297297297297297297297297296296296296296296297296296297297296297296296296296296296295296295295294295295295294294294295295294294294294295294294293293293293292292292292292292292291291291291291291290291291290290289288288288286287286287287287287287287287287287287287287288287287287287287287286287287286286286286286286286286286285285285285285285285285285285285285285285285286285285286285285285285285285285285285284284284285285285284283284283283283282283283283284284283285285284284284285284284283283282282283283284284284284283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298298297296297297296295295295295295295295295295294293292290290290290290291290290289289288288288288289287289289288288288287288290291291292293294294295295295296296295293292291292293292293293293294295296296295295295296296296296296296296296296296296296296296296296297297298297298298298298299298298298298298299299298298299299299300300300300299300300300300299299298298299298299299299300300300299298299299299999999999999999999999999999999999999999999999999999999999999292295297297298298299299298299299299299298298297297296295295295295295294295295296295295296296297297297296296296296296297297297298298298298298298298298298298298297298298298298298298298298298298299299300300299299300300300300300300300300299300299299298299299299299299299299299300300300300300301300300301301301301301302302302302302302302303303303303304304304304304305305305305305305305305305305305306305306305305304304305305305305305304305305305304304305304304305305305304305305305305306306306306306306306306306306305305305306306305305305305305305305304304304304304304304304304304304304304304303303304304303303303303303303304303303303303302303303303303303303303303303303303303303303302303303302303302303302303302302302302302302302301301301301301301301300301301301300300301301301301301301301301302302302302302302302302302302302302302302303303302303303303303303303303303303302303303303303303303304304304304304304304304304304304304304304304304304304303304304305305305305305305305305304304304304304304304304303303303303302302302302302302302303303303303303303303303303303303303303303303303304303303303303303303303303303303303303302302302302302301301301300300300300300300300300300299299298298299299299299298298298298297297297297297297297297296296296296296295295296296296296296297297297296296296296296296296296296295295294294294295294295294294294294294295295294293293293293293292292292291291291292291291291291291291291291290290289289289288288287287286288288288288288288288288288289288289288288288287287287287287287286286286286286286286286286286286286285285285285285285285285285285285286286285285286285285285286286285285285284284284284284284284284283283283283283283283284284284285284284285284283284284285283283284283283283284284284283284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296298299296297296296295295295295295295295294294293291289288289290289289289288287287287288287287287288288288288287287287288289290291291292293294294295295295295294293292292292292292292292293294294296297296296295296295296295295296296296297296295296296296296296297297298299298298297297298298299298300299299297298299300300300300300297299299300300300300300298298299299299300300300300300300299299299299299999999999999999999999999999999999999999999999999999999999999999296297297298298299299299299299299299298298297297296296295295294294294295295296295296297297297297297296296297297297298297298298298298298298298298298298298298298298298298298298298297298298298298298299299299299300300300300300300300299300300299299299298298299300299299299299300300300300300300301300301301301301301301301302302302302303303303303304304304304304304304304305305305305305305305305305305305305304305304305305305304305304304304305304305304304304304304304304305305305306305305306306306306306306306306305305305305305305305305305305305304305304304304304303303304304304304304304304304303303304303303303303302302302302303303303303303303302303303302302303303303303303302302302302302302302302302302302302301302302302301301301301301301301301301301301301301300300301301301301301302302302302302302302302302302302302302302302302302303303302302303303303303303303303303303302303303303303303303304304304304304304304304304304304304304304304304304304304304304304305304304304305305305305304304304304304303303303303303302302302302302302302303303302303303303303303303303303303303303303303303304303303303303303303303303303303304304303302302302302301301301301300300300300300300300300299299298298298299299299298298298298298297297297297297297297296296296296296296296297297297297297297297297297296296297297297296296296295295294294294295294294295295294295295295295295293293294294293293293292291291291292292291291291291291291291291290290289288288288288288288288288289289288289289289289289289290288288288288288287287287286286286286286286286286286286286286286286286285285285285285285285285285285285286285285285285284285286285285285284284284284284284283284283283283283283283283284284284284285284285285285285284285284285284283283283284284284284284283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294295296296297297296295295295295295295295294293292291288287288289288288288286286286286286287287288287287287287287287287287288289291291292293293294295294293293293292291291291291291291292293293293294296296296295295295295295296296296297296296296296295296296296297298297298297297297297297298298298298298299297298299299300300300300300299300300300299299299299300299300300300300300300299300299299300298296999999999999999999999999999999999999999999999999999999999999297297297297298298298298299299299299299298298297297297296295295294294294295295295295296297297297296296296297297297298298298298299299298298298298298298298298298298298299298298298298297297297297298298298299299299300299299300300300300299300300299300299298299299300299299299299300299300301300300301301301301301301301301302302302302302303303303303304304303304304304304304305305305305305305305304304305305304304305305305305304304304304304304305304304304305304304304305305305305305305305305305306306306306306306306305305305305305305305305305305305304304304304304304304304304304304304304304304304304303303303303303303302302302303302302303303302303303303303303303303303303303302302302302302302302301302301302302301301302302301301301302301301301301301301301301301301301301301301301301302302302302302302302302302302302302302302302302302302302302302302303303303303303303303303303303303303303303303303303304304304303304304304304304304304304304304303304304303304304304304304304304304305305305304304304304304303303303303303302302302302302302302303303303303303303303303303303303303303303303303303304303303303303303303303303303303305304303303303303302302301301301300301301301300300300299299299298298299299299298298298298298298298297297297297297297297297296297297296296297297297297297297297296296296296297297297297297297296296295295295295296295295296295295295294294294294293293293293293292292291291291291291291291292291291291290291290290290289289288288288288288288289289289289288289288288288289289288287288288288288287287287286286286286286286286286286286286286286286285286285285286286286286286286286286285285285285286286285285285284284283284284284284284284284283284283283283283283285285285285286285284285284285284284283283283283284284284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297294296296297297295294294294294294294293292291288287287288288288287287285286285285285285287286287287287287287287286287288289290292293293294294294294292292291292291292291292292292293293293293294294295296296295295296296296297296295296296296295296295296297298298297297297297297297297297298298298297299297297299300300300299299299298299300299298298298299300300300299299300300299299300298299299300298999999999999999999999999999999999999999999999999999999999999298298296297297298299298298298298299300299298298298297296295295294295295295295295295296297297297296296296296297297298298298299299299299298298298298298298299298298298298298298298298298298297297298298298299299299300299299300300300300301300300300301300299300300300300299299299299300300301300300301301301301301301301301302302302302303303303303303303303304304304304304304304304304305304304304305305305304304304304305304304304304304304304304304304304305305305305305304304304305305305305305305305305305306305306305305305305305305305305305305305305304304304304304304304304304304304304304304303303303303303303303303303302302302302302302302302302302303302303303303302303303302302302302302302302302302302301301302301301301301301301302302301302301301301301301301301301301301301301301302302302302302302302302302302302302302302302303303302302302302302302303303303303303303303303303303303303303303303303303304304304304304304304304304304304304304304303303304304304304304304305305304304304305304305304304304304304304303303303303302302302302302303303303303303303303303303303303303303303303303303303303303303303303303303303303303304304304303303303303302301301301300300300300300300300299298299299298298299299298298298297298297297297297297297297297297297296297297296296297297297297297297297296296295296296297297297297297297297296296295296295295295295296295294294295294294294293293293293293292291291291290291291291291292292291291291290290290289289289288288288288289289289290290289289290289289288289288288287288288288288287287287287287287287287287287287286286286286286286286286285285286287286286285286286286286286286285286285285285284285285284284285284284284284284283283284284283285286284285284285286286285284285285284284283284284283284285285284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292295296296295295295294294293293293292291288287287288287287286287285284284283283284287287287287287287287287287288287289290291292293292294293294290292293292291291291291292292293293293293294293294296296296296297296296296296295296295296295296296296297298297296296296296296296297297296297296297297300298299299299299298298299299299299298297298300300300300300299298299299299299299299299300300999999999999999999999999999999999999999999999999999999999999999298298297296297297298297298297297298298299298298297297296296295294294294295295295295296297297296296296296296297298298298299299299299298298298298298298298298298298298298298298298298298298298298298298298298299299300299299299300300300300300300301301300300300300299299299299300300300300301301300301300301301301301301301302302302302303303303303303303303304304304304304305304304304304304304304305304304304304304304304304304304304304304305305305304304304305305305304304304304304304305304304305305305305305305305305305305305305305305305305305305304304304304304304304304304304304304304304303303303303303303303303303303303302303302302302302302302302302302303303303303303303303302302302302301302302301301301301301301301301301301300301301301301301301301301301301301301301302302302302302302302302303302302302302302302303303303303303303302302302302302302302303302303303303303303303303303303303303303303303303303303303303303304303303303304303304303303303303304304304304304304304304304304304304304304304304304304303303303302302302302302302302303303303302302302302303303303303303303303303302303303303303303303304304303303304305305304304303303303303302302301300300300300300300300299299299298298298299298298298298297298297298298298297298297298298297297297297297297297297297297297297297297296296295296297296297296297297297297297297294296295295295296296296295295295295294295294294294293293293292292291292291291291292292292292291291290290290290289289289289288288289289289290290289289290290290290289289289289289289289288288288288288288287287287287287287287287287287287286287287286286286286286286286286286286286285286286286285285285285285285284285285284285284284284284283284284284285285285285285286287285286286285285285284284284284284284284284285284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296296296295296295295294293293293292291288286286286286287287285284284283282283283285286287287287287286286287287288289289290291292292293294291292292291291290290290290291292293293293293293292293294295296297297297297296296296296295295296297297297297297296295295295295296296297296296296296297298299298298299299299299298298299299298298298300300300301300300299298298298298298299299299300301999999999999999999999999999999999999999999999999999999999999298298297297297297297298297297297297298298298297297297296296296296294294295295295295296296297296296296296296296297298298299299299299299299298298298298298298298299298298298298298298298299298298298298298298298298298299299299299299299300300300300301301300300299299299299299299300300299300300300300301300300301301301301301301302302302302302302303303303303303303303304304304304304304304304304304304303303304304304304304304304304304304304304304304305304304304304304304304304304304304304304304304304304305305305305304304304305305305305305305304305304304304304304304304304304304304304304303303303303303303303303303303302302303302302302302302302302301302302302303303302302302302302301301301301301301302301301301301301301301301300300300301301301301301301301301301301301301301302302302302302302302302302302302302302302303302303302302302302302302302302302302302302302303303303303303303303303303303303303303303303303303303303303303303303303303303303303303304304304304304304304304304304304304304304304304304304303303303303302303302302303303302302303302302302303303303303303302303304304303303303303303303303303303304303304304304303303303303303303303302302301300300300300300300300299299299299298298298298299299298297298298298298298298298297297298297297297297297297297297297297297298297297296296296297297297297297297297298297297297296296295295295296296296295295295294294294294294294294293292292293292292292292292292291292292291291291290290290290289289289289289290289290290291291290290290290290290290290289289289289289288288288288288288288287288287287287287287287287287287287287287287286286286287286286287287286287286287286286285285286285285285285285284285284284285285284285284284284285286286286287286286286286285285285285285284285285285284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295294295296295295294294294293292290287286286287288288286285283282282281281281283285286287286287286286287287288288290289290292292293293293292290291290290289290290291292293293292292292293293294296297296296296296296296295296296296296297298298297296296296296297297297297297296296296297297298298297298298299299299299299299299298298299300300300300300300298298298298298298298298299301300999999999999999999999999999999999999999999999999999999999999297297297297297297297298298297298297297297297297297297297296295295294293294294295295296295296296296296296296297297298298298299299299299299299298298298298298298298298298298298298298298299298298298298298298298298298299299299300299300300300300300301300301300300299299299299299299299300300301300300300300301301301301301301301302302302302302302302302302303303303303303304304304304304304304303304303304303303303303304303303304304303304304304304304305304304304304304304304304304304304304304304304304304304304304304304304304304305305305304304304304304304304305304304304304303303304304304304303303303303303303303303303303302303303302302302302302302302302302302302302302302302302301301301301301301301301301301301301301301300301300300300301301301301301301301301301301301301301301302302302302302302302302302302302302302303302303302302302302302302302302302302302303303303303303303303303303303303303303303303303302302303303303303303303303303303303303303303304304304304304304304304304304304304304304304304304304303303303303303303303303302302302302302302303303302303303303303302302303304302303303303303303303303303303303303303303303304303303303303303302302301300300300300300300300300299299299299298298298298299299299299298298298299298298297298298298298298297297297297298297298298298298297297296297297298297298298298298298297297298297296296295295296296297297296295295294294295295294294293294293293293292293292292292292291291291291291290290290290289289289289289290290290290291291291291290290290290290290290289289289289289288288288288288288288288287287287287287287287288287287287287287287287287286286287287287287287287286286286286286285285285285285285285285284284284284285284285285285285285285286286286287286285286286286285285285284285284284284284283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293292295295295294294293292292288287287289287287286285283282282282280280282284286287286286286287287287289289290289289290291292291289291290290289289289290290290291292292292292293293293294294295295296296294295296296296296297297298297297297295297296296296296297296296295295295297297297297297297299299299299299299298298298299299299299300300300300299298298297298298299300299300300999999999999999999999999999999999999999999999999999999999296297297298298298298297298298298297297297297297297297297296297295296294294294294294295295295295296296297297297297298298298298299299299299299299298298298298298298298299298298298298299298298298298298298297298298298298299299299299299300300300301301300300300300300299299299299299299299300300300300300300300300301301301301301301301301302302302302301302302302302302303303303303303303303303303303303303303303303303303304304304304304304304304304304304304304304304304304304304304304304304304304304304304304304304304304304304304304304304304304304304304304304304304304304303303303303303303303303303303302303303303303303303302302302302302302302302302302302301302301302301302302301301301301301301301300300300300300300300301301300301301301301301301301301301301301301301301301301301301301302302302302302301302302302302302302302302302302302302302302302302302302302302303303302302302303303303303303303303303303303303302302303303303303303302302302303302303303303303304304304304304304304304304304304304304304304304304303303303303303303303302302303302303303303302303302303303303303303303303304302303303303303303303303303303303304304303303303304303303303303303302301300300300300300301300300299299299299297299299299299299299300299299299298298298298298298298298298298298297298298298298298298298297296295296297297297298298298298298297297297296296296295295295296296296296296295295294294295294294294294293293293293292292292292292292291291291291291290290290290290289290289290290290291291291290291291291291291291290290290290290290289289289289288288288288288287288288288288288288287287288288287287287287287287287287287287287287286287286286286286285286285285284285285285285285284284284285285287285286286286286287286287287286286286286285285285285284285285284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293292293293293292293293292291288287288287287286285284283281281281280280281283285286286286286287287287288288288289289291290290291290290290289288287288289290292291292293293292293293293294295294295295295295294294297297297297297297296296295296297296296296296297295295294294295296297297297297297298298298298298298298298298299300299299300300300299298298298298298298999302299299299999999999999999999999999999999999999999999999999999999999297298297298298298298298298298297297297296297296296296297297296295296294294294295295295295295295296296297297298298298298298299299299299299299299299298298298299298299299299299299299298299298298298299298298298298299299299298298299300300300301301301301300300300300299298299299299300300300300300301300300300300301301301301301301301302302302302302301302302302302302303303303303303303303303303303302303303303303303303303303304304303303303304304304304304304304304304304304304304304304304304304304304304304304304304304304304304304304304304304304304304304304304304304304304303303303303303303303303303303303303303303302302302302302302302302302302302301301302302302302302302301301301301301301301300300300300301300300300301300300301301301301301301301301301301301301301301301301301301302302302302302302302302302302302302302302302302302302302302302302302302303303303303303303302302303303303303303303303303303303303303303303303303302303303303302303303303303303304304304304304304304304304304304304304304304304304304303303303303303303303303303303303303303303302303303303303303303303303303304303302302303303303303303303303303303303303303303303303304303303302302301300300300300300300300299299299299299299299299299299299300300300300300299299299299299299299298298298298298298298298299299298298297296295296297298297298298298298298297298297296296296296295295295295295295296296295295295295295295294294294294293293292293293292292292292291291291291290290291291291290290290290290290290290291291291291291291291291291290290289289289289289289289288289289288288287288288288288288288288288288288288288288287287287287287288287287287288286286286286286285285285286285285285285284285285285284285285286285286287287287287287286287287286286286285285285285285285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291292291291292293293290286286286287286285284284283281280281280279280283285286285287286286287287286288289289292292290288289290289288288287286288288290292291292291291292293293293294295294294295295295295295297297297297296296295296295295296296296296296296295294294295296296297297297297297297298298298298298298298298299299299299299299299299299298298298298298999999299299300300999999999999999999999999999999999999999999999999999999297297297298297297298297298298298298297297297297296296297298297297297296295296296295296297296296296297297297298298298298299299299299299299299299298299298298298298299299299299299299298299299298299299298298298299299299299299299299300300301301300300300300300300299298298299299299299299299300300300300300300300300300300301301301301302302302302302301302302302302302302302302302302302302302302303303303303303303303303303303303303303303303303304304304304304304304304304304304304304304304304304304304305304304304304304304304304304304304304304304304304304304304304304304304303304303304303303303303304303303303303303303302302302302302302302302302302302302302302302302302301301301301301300300300300300300300301301301300300300300300301301301301301301301301301301301301301300300301301302302302302301301302301302302302302302302302302302302302303302302302303303303303303303303303303303303303303303303303303302302303303303303303303303303303303303303303303303303303304304304304304304304304304304304304304304304304304303303303303303303303303303303303303303303303303303303303303303303303303304303302303303303303303304303303305304304304304304303304303304303303302301300300300300299300300300299299299299299299300299299299300301300300300300300299299299299299299299299298298298298299298298298298297297297297298297297298297297298298297297297296296296295296296297296296296295296295295296295295294295294293294294293293293293292292293292291291291291290290290290290290290290290290291291291291291291291291291291291290290290290290290289289289289288289288288288288288288288288288288288288288287287287287287288287287287287287287287287286286286286285285285285286285285284284284285285285285286285286286285286287286287286286286286286286286286286285285284284285285285284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286289290291292293292288286285286285285284284283282282281281279279282284283284286286288287286288289289289290290290289290290289288288287287289289291291290291291290291293293292293292294294294294294294294296296297295295296296295295294295296296296295295294293294295296296297297296297296297298298297297298298298298299299299299298298299299299298298298298298999999298299298301999999999999999999999999999999999999999999999999297297297297298297297298298298297298298298298297297297297297297298297297297297296296296296296297297297297297297297298298299298299299299299299300299299299298299298298298299299299299299299299299299299299299299299299299299299299298300300300300301301301301301300301299299298298298299299299299299300300300300300300300300300300301301301301301301301301301301301301302302302302302302302302302302302302302302302302302303303303303303303303303303304304304304304304304304304304304304304304304304304304304304304304304304304304304304304304304304304304304304304304304304304304303303304304303304304303303303303303303303303303303303303302302302302302302302302302302302302302302302301302301301301301300300300301301301301301301301300300300300300300300300301301301301301301301301301301301301301301302301302301301302302301302302302302302303303303303303303303303303303303303303303303303303303303303303303303303303303303303303303303303303303303303303303303303303303303303303304304304304304304304304304304305304304304304304304304304303303303303303303303303303304304303303303303303303303303303303304304304304303303304303303304304304304305304304304304304303303303303303303302302301301300299300300300300299299299299300300300300300300300301301301300300300300299299299299299298298298298298298298298299299298297298298298297298297297298298298298298297297297296296296296297297296296296295297296296295296296295295294294293294293293294293293293293293292292291291291291291291291291291291291290291291291291291291291291291291291291290290290290289289289289289289289289289288288288288288289288289288288288287287287287286287286287286286287287286286286285286285285285284284284284285285284285285285285285285285285285286286286286286286286287286287286286286285285284285284284285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292289290289291291287284283283282283282282282283281280279278279280282281283285285287287287286288288288288289290289289289288288288288288288289289291291290290290292292292291291292291291292292293294293295295296295295296295295295294295295295295295294293294294296296296297297297297296297297298297297298298299298299299299298298298298298298298298298297297999999999299299999999999999999999999999999999999999999999296296296297297297298298297297297298297297298298298298298297297297298298297297297296297297297297297296296296297297297298298298298299299299299299300300300300300299299299298298299298298299299298299299299299299299299299299299299298299299300299300300300300300301300300300300299298298298298298299299299300300300300300300299299300300300300301301301301301302301301301301301301301301301302301301302302302302302302302302302302303303303302303303303303303304304304304304304304304304304304304304304304305304304304305305304304304304304304304304304304304304304304304304304304304304303303303303303303304304303303303303303303303303303303302302302302302302302302302302302302302302302302302302302302302301301301301301301301301301301301301300300300299300300300300300300301301301301301301301301301301301301302301301301301302302302302302302302303303303303303303303303303303303303303303303303303303303303303303303303303303303303303303303303303303303303303303303303303303303303303303303303304304304304304304304304305305304304304304304304304303303304303303303303303304304304303304304303304303303303303304304304304303303303304304303304304305304305305304304304303303303303303303302302301301301300300300300300300300300300300300300300300300300301301301301301300300300300300299299299299298298298299299298298299299298298298298299298298297297298298298298298298297297297296296296296297296297297296296297296296296296295295294293294294294294293293293293295294294292292291291291291291290290290290291291291291291291291291291291291291291291290290290289289289289289289289288289288288288288288288288288288288288287288287287287286287286286286287287287286286286286285285285284285284284284285284284285285285285286285285286286286286285286287286287287287287286286286285285284285284285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290288288289290289285283281281282281282281283280280280279278278281283283285287286286287285286285287286287288287287287287288288286288288288288289290289289290291291290290290290290291290291292293292294294294294294294294294294294294294294294293293293294294295296296296297297297296297297296296297297298299299299299298298298297296297297297297297297295999999999999999999999999999999999999999999999999999999298297296296297297297297297297297297297298297298298298297298298297298297297297297297297297297296297297297297296297297298298298298299299299299300300300300299299300299299298298298299299299299299299299299299299299299299299298299299299299299299299299299300300300300300300300300298298298298298299299299299299299299299299299299299300300300300300301300301301301301301301301301301301301301301301301301301302301301302302302302302303303303303303303302303303303304303304304304304304304304304304304304304304305305305304304304304304304304304304303303303303304304304304303304304304304303303303303303303303303303303303303303303304303303303303303303303302302302302302302303302302302302302302302302302301301301301301301301301301301301301300300300300300300300300300300300301301301301301301301301301301301301301301301301302302302302302302302302302303303303303303303304303303304303304303303303303303303303303303303303303303303303303303303303303303303303303303303303303303303303303303303303303304304304304304305304305305305305305304304304304304304304304304304304302304304304304304304304304304303303304304304304304304304304304304304304305304304305305304304304305304304304303303303302302301301300300301300301301300300300300300301301301301301302302302301301300300300300300300299299299298298298298298298299299299299298299299299298298298298298298298298298298298297297296296296296296296295296295296296295295295295295294294294293294293293292293292291293292292292292291290290290290290290290290290290291291291291291291291291291291291291291290290289289288289288288289289289289289289289288289289288289288288287288288288287286286286286286286287286286286286286286285285285285284284284284285284285285285285286285285286286286286287286287287288288287287286286286285284284285285285285284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290287288289290290287282282281282282281281280279280280278277278279282282285286285285284285286285286286286286286287287287288289286288288289289287290290290290292291291290290290290291292291292291291291291292293293293293294293293293293293293292292292294294294294295295295296296296296296296295296296297298298297297297296296296297296296296296295297296298999999999999999999999999999999999999999999999999298296296297297296296297295297297297297298298298297298298298298298298297297297297297297296297297296297297297297297297298298298298298299299299300299299299300299298299299299299299298299299299299299299299299299299299299299299299299299299299299299299298299300300300300300300299299298298298298298298299299299299299299299299299299299299300300300300300300300300300300301301301301300301301301301301301301301301301301302302302302302302303303303303303302303303303303304304304304304304304304304305304304304304305304305304305304304304304304304303303303303304303303303304303304304304304303303303303303303303303303303303303303303303303303303303303303303303302302302302302302302302302302302303302302302302302302301301301301301301301301301301300300300300300300300300300301301301301301301301301301301302301302301302301302302302302302302302302302302302303303303304304304304304304304304303303303303303303303303303303303303303303303303303303303303303302302303303303303303303303303303303303303304304304304304304304305305305305305304304304304304304304304304304304304302304304304304304304304304304303303304304304303304304304303304304304305305304305305305305304304304304304303303303302302302301300299300301301300300300300300300300301301301301301302302302301300300300300299299299299298298298298298298298298298298298298299298298298298298298298298297298298298298297297297297296296296296296296295295296296295295295294294294294294293294293293293293291292293292292292292292291290290290290290290291291290291291291291291291291292291291291291290290290289289289288288288289289288288289289289289289289289289289289288288288288288287286286285285286286286286286285285286285285285285287285284284285286285286285285286286286286286287286287288287289287288287287287287286286285285285285285284285284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288289289290290289286286284283283281281281280279278277277278279282282282285286282285284285285286286286286286286287287287286287288289289289289289291290289290290291290289290289291292291292292291290290291290290291291291291292293292292291292291292294294294294294295295295296296296296295296296296297297297297297297296296297297296296296296297298297297999999999999999999999999999999999999999999999999999295296295296295297297296295296296297297298298297297296296296297297297297297296296296296296297297296297296296296296297298298298298298298298299299299299299298299299299299299299298298299299299299299299299299299299299299299299299299299299298298298298298299299300300299299299298298298298298298298298298298298298298298299299298299298299299300300300299299299300300300300300300300300300301300300301301301301301301301302302302302302303303303302302302303303303303304304304304304304304304304305304304304304304304304304304304304304303303303303303304304303303303303303303303304304304303303303303303303303304303303303303303303303303303303303303303303303302302302303303302302302302302302302302302302302302302302302302301301301301301301301301300300300300300301300300301301301301301301301301301301301301301301301301301302302302302302302302302303303303303303304304304304304304304304303303303303303303303302303303303303303303303302303303303303302302302302302302302302302302303303303303303304303304304304304304304304304304304304304304304304303303303303303303303303303303303303303304303303303302303303303303303303303303304303304303304304304304304303304304304304304303303303303302302301301300300300300300300300300300301301301301301301301301302302302301301300300300299299299299299299298298298298298298298298299299299298298298298298298298298298298298298297297297297296296296296296296296295294295296296295295295294294294294294294293293292293293292293293293293292291291290290291290290290291291291291292291291291292291292292291291291290290289289289289288288288288289289289289289289289289289289289289289289288288288288287286286286286286286287286286286286285285285285285286285285285286285285286285286286286286287287288287288287289288288288287287286286285285285285286285285284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288290290290289289289288284284280281281280280279277277278279280281284285285285285284284284285285285286286287287286286287287286288290290290290290290290291290290290290289290291291292291291291290289290289289289289290291291291291291292292293293294294294294294294294295295295295295295296296296297298297297296296295296296296297296296296297298297295999999999999999999999999999999999999999999999999999296296296296296296297296295296296297297298298298298295297297297298298298297296296296296296297297296297297297296297298297298298298299298298298298299299299298299299299299299298298298298298298298298298298298298299299299298298298299298298298298297297298298299299299298298298298298298297297297297297298298298298298298298298298298298298298298299299299299299299299299299299299300300300300300299300300300300300300301301301301302302302302302302302302302303303303303303304304304304303304304304304303304303304303303303304303303303303303303303303303303303302302303303302303303303303302303303303302302302302302303303303303303303302302302303303303302302302302302302302302302302302302302302301302301301302302302302301301301301301300300300300300300300300300300301300300301301301301301301301301301301301301301301301301302302302302302302302302303302303302303303303303303303303303303303303303303303303303303303303303303303303302302302302302302302302302302302302302302302302303303303303303303303304304304304304304303305304304304304304304304304304303303303303303303303303302303303304303303303302303303303303303303303304304303304303304304303304304304304304304304304304304303303302301301301300300301300300300301300301301301301301301302302301302302301301301300300300299299299299299298298298298298298298297299299300299299299298298299298298298298298298298298297297297297297297297297297296295295295294295295294295294294294294294295294294293294294293293293293293292292291291291291291291291291291291291291291291292292292292291291291290290290289289289289289289289289289289289290290290289289289289289289289288288288288288287287286286286286285285286287286286285285285284284285284284283286285285284285285285286286286287287288287287287287288287287286286286285285284285285285285285284285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289289290291289290287286284281280279279278278277277277278280281281283284285284284284284284285285285286285286286287288288288289290290291291289289289290289290289290290291290291289291291290288289289290290289290290290290290291292293293294293294294294294294294294295295295295295295295296296296296297297296295295295296296296296296296297298297296999999999999999999999999999999999999999999999999295296296296296296296296297297296296296297298298297297297297296297297297297297296296296296296295296296296297297297297298298298298298298298298298298298299299299300299299298299299299299298297297298297298298298298299299299298297298298297298297297297297298298298298298298298298298298298297297297297297297298298298297298297298298297298298298298298299299299299299299299299299299299299299299299300300300300300300300301301301301301302301302301301302301302302302302302302303303303303304304304304304304304304304303303303303303303303303303303303303303302303303303302303302302303303303302303303303303302302302303303303303302303303302302303303303303303303303303302303302302302302302302302302302302301301302302302302302301301301300300300300300300300300300300300301300301301301301301301301302301301302302302301301302301302302302302302302302302302303303303303303303303303303303303303303303303303303303303303303303303303303302302302302302302302302302302302302302302302302302302303303303303303303304304304304303304304304304305304304304304304304304303303303303303303303303303303303303303303303303303303303303303303304304304304304304304304304304304304304304304304304304304303303302302301301301301301300300301300300300301301301302302302302302302302302301301300300300299299299298300299298298299299299299299299299299299299299298298298298299298298298298298297297297297297297297297297297296296295295295295295295295295294294293295295295295294294294293293293293293292292291291290291291291291290291291291291291291291291291292291291291290290290289289289288288289288289289289289289289289289289289288288288288287288287287287288287286286286286286286285285285285285284284284284285285284284284285285284284285285285285286286287286286287287287287287287287286286285285285285285285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285288289289288289287284283280279278277277277276278280281281281283283284284284285283284285286286286286286286284287287289289289290290290289288289290290289289289289290290290289290289289289289289289289289289290290291291292293293293294293294293294294294293295295295295294295295294295295296296297296296296295295296296296296296296297297297297999999999999999999999999999999999999999999999999295295295295296296296296297298296296296296297297296297298297297297297297297297297296296296297295296296297297296297298297297297297298297298298298298299299299299299298298298299299299298298297298298298297297297298299298298299298298298297297297297297297297298298298298297297297297297297297297297297297297297297297297297297297297298298298298298298298298299299299298299299299299299299299299299299300299300300300300300300300301301301301301301301302301301302302302302303302302303303303304304304304304304303303303303303302303303303303303303303303303303303303302302302302302303303303303303303303302302303302303303303302302302302302302303303303303303303303303303303302302302302302302302302302302302302302302302302302302302301301300300300300300300300300300300301301301301301301301301301302302302302302302302302301301302302302302302302302302303303303303303303303303303303303303303303303303303303303303303303303303303303302302302302302302302302302302302302302302302302302303303303303303304304304304303304303304303304305304304305304305304304303303303303302303303303303302302303303303303303303303303303303304303304304304305305305304305304304304305305305304304304304304303303302302301302302301300300300300300300300301302302302302302302301302302302301301300300300299299299298299299299299299299298299299299299299299299299298299299299299299298298298298298298297297297297297297298297297296295296294295295295294295294294294295294294294293293293293293293293293292292292291291291291291291290291291290290291290290290291291291291290290290290289289289289288288288289289289289289289288289289289288288288287287287287287288288287287286287287285286285285285284284284284284283285285286285285284285285285285285286286286286287286286286286286286287286285287287286286286286286285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288288289289290287286283281279276276276276275278279282282282282283285284285285285285285284285285285285286287288288288289289290290290289289290290289289290289288289286289289289288288288288289288288289289289290292292293293293293292292292293293293295294293294293294296294295295295295295296295295296295295294296295295295295296297297297296999999999999999999999999999999999999999999999296296295295295295296296296297297296296296296296296297297298297297297297297297297297297296297296296297297297296297298298298297297297298297298299299299298298299299299299299298299299298299297298298298298298297297298298298297299298298297297297297297297297297298298298297297297298297297297297297297296297297297297297298297297297297297298298298298298298298298299299299298298298298299299299299299299299300300300300300300300300300300301301301301301301302302302302302302302302302303303303303304304304304303303303303303303303303303303303302303303303303303303303303303303302302303302302302302302302302302302302303302303303303303303303303303304303303303304303303303303303302303302302302303302302302302302302302302302302302302301301301300300299299300300300300300300301301301301301302301301302302302302302302302302302302302302302302302302303303303303303303303303303303303303303303303303303303303303303303303303303303303303303302302302302302302302302302302302302303302302302303303303303303304304304304303304303305305305305305305305305304304304304303303303303303303303302303303304304304303303303303303303303304303304304305305305305304304304304304305305305304304304304303303303302301301302301301300301300300300300300301301301302302302301301302302302301301300300299299299299298299298298299298298299299299299299299299299299299299298298298298298298298298298297297297297298296296298296296296295295295294294295295294294294294294294295294294294292292292292293293292291292291291291291291291291291291291291290290290290290291291291290291289290290290289289289289290288289289289289289289289289289289289288288288287290289288288287287286286287286285286286285284285284285285284285284285284283285285284285285285285285286286286287286286285285286286286288287287286286285286286286286285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288290290290286285284281280277276275275275278279281281282283283282283283285283284284285285285286285286287287288289288289290289290289289290290290289288289288290289289289288288287288288289290289290290291291291292292293293293292292293292293293294294293293293293293294295295294296295295296295294295295295295295294294294295297296297297296999999999999999999999999999999999999999999294296296296296296296296297296296296295296295295295296296297297296296296297297296296296296296296295296297297296296296297297297297297297297298298298298298298299299299299299299298297298299299298298298298298298298298298298298298297296297297297296297298297297297298297297297297297297297297297297296296296296297297298297297297297297297298298298298298298298298298299299298298298298299299299299299299299299300300300299300300300300300301301301301301301302302303303303303303303303303304305305305304304304303303303303303303303303303303303303303303303303303303303303303303303303303303302302302302302302302303303303303303302303303303302303303303303303303304303303303303302302303302302302302303303302302303302303302302302302302302302301301299298299300300301301301301302302302302301302302302302302302302302302302302302302302302302303303303303303303303303303303303303303303303303303303303303303303303303303303303303303303302303302302302302302302302302302302302303303302302303303303303303303304304304303303304304304304304304305305305305304304303303303303303303303302303303303303303303303303303303303303303303304304304304304304304304305304304305304304305305304304304304304303302301302301301301301300300300300300300300301301301302302302301301302302301300300300300299299299299298298298297298298299299299299299299299299299299299299298299298298298298298298298297297297297297297297296297296296296295295295294293294294295294294295294295294294294293293292293293293293292292292292292292291291291291291291291291290290290290290291291290292292289290290290290290289290289289290289290289289289289289289289289288289288288287288286288287285287287286285285285285286285284284284285284285284284283285285284284284286285285285286286286286285285285286287289288286286286288286286286286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289288288288287285283281279278277275275276279279280281282282282281282284285283284284284284285285285286287287288288288289289288290288288289290290289288289288289289289289289288287288288289290291291291292292291292293292293293292293294294293293294294294294292294294293295295296296295296296295296296296295295295294294296296296296296297295999999999999999999999999999999999999999999999296296295295295295296296295295295295295295296296295295294294295295296296296296296296297297296296296296296297296297296297296297298297297297297297298298298299299299299299299299299299298298299298298299298297297297297297297297297298297296296296296297297297297297297297297296297297297297297297296296296296296297297297297297297297297297297297297298298298298298298298298298298298298298298298298298299299299299299299299299299299300300300300300300301301302302302303302302302302302303303304304303303303303303303303303303303302302302302302302302302302303303303303302303303303303302302302302302302302302302302302302302302302302302302303303303303303303303303303303302302302302302302302302303303302303303302302302302302302301301301300300298999299300300300301301301302302301301301302302302302302302302302302302302302302302302302302302302303302303302303303303302302303303303302302303303303302303303303303303303303303303303302302302302302302302302302302302302302302302302302303302302303303303303303303303303303304304304304304304305305303303303303303303303303302302303303303303302302302302302303303303303303303304304305304304304304305304304305304305305305304304304304304303303302302302301301301300300300300300301301301301301301302302301301301302301301300301300300299299299298298298299299300299300299299299299299298299299299299298298299298298299298298298298298297297297297297297297297296296296296295295294294295295294293294294295294294294294294293292293293293292292292292292291291291291291291291290290290290289290290290291291290291290289290290290289289289288289289289289289289289289288289288288290291289289289289288287287287286287286286285285286286285285284285284284284284284285285283284285285284286286285286286286286286286286287288287288287287287286286287286287287287286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287288288287286285284281278277277276276278280282280280282281280281281285284284284284284284284285285286286286287288287287287288288288290290290289289288289288288287288287288287287288288288289291290291292291291291292292292292293293293294293293293293293292292294295294295296295294295295296294295296296296294295294294295297296296296297296294999999999999999999999999999999999999999999297297295294294295295294294295295295294295296296295294294294295296297297298297297297297297297296296298297297296297297297297297297296297297297298298299298299299299299299300299299299299298299299298298297298297297296296297297297297297296296296297296296297297297297297297297296297296297297296296296296296296296296297297297297297297297297297298297298298298298298298298298298298298298297298298298298299299299299299299299299299300300300300300300301301301302302302302302302303302302303303304304303302303302302302303303302303302302302302302302302303303302302303303303303302302302302302302302302302302302302302302302302302302302302302302302303303302303303303303303302302302302302302302302303303303302302302302302302301301301300300298298299300300300301300301301301301302301301302302302302302302302302302302302302302302302302302302302302302302302303302302302302303303302303303303303303303303303303303303303302302302302302302302302302302302302302302302303302302302302303303303302303303303303303304303303303303304304304304305305305304304304303303303303303303303303302303302302302302303303303303303303304303304304305305305304304304305305305305305305305304304304304304303303302302301301301301300301301301300301301301302301301301301301301301301302301301301300300300299298298298299300300300300299299299299300299299298298298299298298298298298298299297298298298297297297297297296296297296296296295295294295295294295294294294294294293293294294294293293293293293293292292293293293292292292291291291291291290291291291291291291291290291290289290290289290290290290289290289289289288289288288289288288289288288288288289288287287287286286286287286285286286286285285285285284284284285284284284285284284284284285285285286285285286287287289288287287287287287286286286286287286286286287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283287288287284283282279278276277277278278281282279283280281278284284284284284284283283284284286286285286286286287288288288288288290290290289289289289288288288288287286288288287288289290290290290290290290291291292292292292292292293293293294292291292293293293293294294296296296295295296294295296295295295294294295295297296296296295294294999999999999999999999999999999999999999999999296294999999293293293293294294294295295295294294294294294294295297297298297297296297297297297297296297297297297297298297297296297297297297298298299299299299299300299300299299299300299298298298298298297297297297297298297297297297296297296296296296297297297297297297297297297297297297297296296296296296297297297297297297297297297297298298298298298298298298298298298299298298298298298298298298299299299299299299299300300300300300300300301301301301302302302303303303303303303303302303303302303303303303303303304303303303302302302303303303304303303303304304303303303303303303303302302302302301302302301302302302302302302302303303303303303303303303303303302303302303303303303303303303303303302302302302302302302301301300299298299300300300300301300301301301302301301302302302302303303302302303303303302303302302302302302302302303303302302302303302302302302302302302303303303303303303303303303303303303303303303303303303303303303303302303302302302302302302303303303303303303303303304303303303304304304304304304304304304304304304304303303303303303303303303303302302302302302303303303303303303304304304305305305304304304304305305305305305305304304304304304303303303302301300301300300301301300301300301301300302301302301301301301301301301301301300300299299298298298299299299299299299298298298299300299299298297298298298298298298298299298298298299298297297296296297297297297297296296296295295295295295294294294295294294293293294293293293294294293293293292293293293294294292292292292292292292291291291291291291291291291291290291291291290290290290290290290289289289288289288289289288288288287288288288289288287286286286286287287286286286285285285285285285284284284284284283283284284285284284285286286285286286286286287287287288287288287287287287286287286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288287286283282280279278280280278279280281281281284283285284284283283283284284283283284285284285285286286287287288287288289289289290290290289290289289288288287287286287287287288289290290290289291290291291291292292292291292291292293292293293292291293294294294294295296295295295293294294294295295294293293295295297295296297297296294295999999999999999999999999999999999999999999999294294293999291295293292293293293294295294293293294293294294294295297297297297296296297297297296297297296297297297297297297297297297297298298298298299299299299299299300299299299299299298298298298297297298298297297297297296296297296296296295296296297297296297297297297297297296297297297295296296296296297297297297297297297297297297297297297298298298298298299299298298299298298298298298298298299298298299299299299300300300300300300300300301301301302301302302303303303303304303303302303303302302303303302303303302303303302303303303303303303303303304304303303303304303304304303302302302302302303302302301301302302302302303303303303303303302303302303302302303303302303303303303303303303303302303302302302302302301301300300298300300300300300300301301301301302301301302302303303302303303303302302302302303303302302302302302302302302302302302302302302302302302302302303303303303303303303303303303303303303303303303303303303303303303303302302302302302302302303303303303303303302303303303304304303304304304304304304304304304304303303303303302302302302302302302302302302302302302302303303303303303304304305305304304305305305305305305305304304304304304303303303303302302301300300301301301300300300300301301300300301302301301300302301301301301301301300300299300299299300299300299300299299299298299299299298298298298298298298298298298298299299298299296296297297297297297296297297297296295295295295294295295294294295295294294293294294293294294294293293293292292293293294293292292293292292292292291290292292292291291292291291291291290290288290290290290289289289288288289289288288288288287287287288288288288288287287287287287287287286286286286286285285285283284284284283282282282285285284285284285286286286286286286286287287287287287286286287287288287287286287287286287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285285286283281281281283283283281280281282282282285285285284279284284284283282282283284285284284284285285286287288289288288289289289290289290289289289289288287287287287288288288288289290289289290289290291291291291291291290291292292292292293291292293293292293293294294295294294294293292293293292292292295294295295294296296297297296296294295999999299300297999999999999999999999999999295294999292293292291292293293294294293293293294294294294294294296297296296296296296297297297297297297296297297297297297297297297297297298298298299299300299300299299299300299299298298298298298298298297297297297297297297296296295295295296297297296296296296297297296296297296296296296295296295296296296297297297297296297297297297297297297297298298298298298298298298298298298298298297297298298298298298299299299299299299299299300300300300300301301301301302302302302302303303303302302302302303304303302303303303303302302303302303303302303303303303303303303303303303303303303303302302302302302302302301301301301302302302302302303303302303302302302302302303303303303303303303303303302302302302302302303302302302301301300300300300300300300300300301301302302302301302302302302303302302302302302302302302302302302302302302302302302302302302302302302302302302302302302302303303303303302303303303303303303303303303303303303303303303303303303302302302302302303303303303303303303303303304304304304304304304304304304304303304304303303303303303302301302302302302302302301303302303303303303303304304304305305305304305305305306305305304305305304304303304303303303303302302301301301301300300301301300301301301301301301301301301301301301301301301300300300300300300299299298299299300300299299299299299298298298297298297297298298298298298299299298297296296296296297297297296297296297296295294295295295295295294294295294294294294294293293293294293293293293293293293293293294293293293293293292292292292292292292292291291291291291291291291290290290290289289289288289289288289288288288288288288288288288288289289290288287287287287287286286286285286285285284285284283284283284283283284284285286286285285286286286287286286286287286286286286286286287287287287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286286282281281282282284280282281280284285280285286285283282284284284284283282282282283284285284284285286287287287287288288288289289289290289289288289289288288288288288288288289289290290291289290291291291291291291290291291291291292292292292292293292292292292293294294293292292292293293293292291290292294294295294295295296296296294295294999999999298296295999999999999999999999296295295999295294293292292293294294295294294294294294294295294294294295296295295296296296297297299296296296296297297297297296296297298298298299299299299299299300300300299299299298298298298298298298297297297297297298298297296296296296296297297296296296296297297297297296296296296296295296295295296297296297296297297296297297297297297297297297297298298298298298299299299298298298298298298298298298298299299299299300300299299300300300300300301301301302302302302302302302302303303302301302302302304305303303304303304303302303302302303303303303303303303302303303303303303303303303303303303303302302303302302301301301301301302303303302302302302302302302303303303303303303303302302302302302302303303303303302302302301301300301301300300300300301301301302302302302302302302303303303302302302302302302302302302302302302302302302302302301302302302302302302302302302302303303303303303303303303303303303303303303303303303303303303303303303303303303303302302302303303303303303303303303303304304303303303303304304304304304303303303303303303302302302301302301302302302302302302302302303302302303303304304305303304304305305305305305304304304304304303303303303303302302301301300300300300300300301300300301301301301301301301301301301301301301300300301301301300300300300299299298300299300300299299299298297297298298297297297297298298298299299299298297296296297297298298297296296296296295295295295295295294294294294295295294295293294294294294293293293294294293292292293293293293293293293293293292292292292292291292291292292291290291291291290290290290289289289289290289289288288288289289289288288288287288288288289288287287287286287287285285286286284283285283283284283283283283284283285286286286286286286285286286286286286286285286285285286286286286287287286286286286286287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286286286282281283281282284284283284281282282286283282284283282282283284283284281281283283283284285286285287288287286288288288288290289289289288288289289289288288289289289289289289290290291290291291291291291291292291291291290291291292291292292292292292292293293293293293293292291293292291291290291294293295294294293294294295294294295294293999999297295294296999999999999999999296296296295296295294293293294294295295295295295294295295294295294294295296295295295295295296296297297296296295296296296295295297297298298298299299299299299300300300299299299299298298298298298298298298297297297296298298297296296295295296296296296296296295297296296296295296296296296295295295296296297296296296296296296297297297297297297297297297297298298299298299299299299298298298298297298298299298298299299299299299299299299299300300300301301301301301302302302302302302303302302302302302302302302303303303303303304303303302302302302303302302303303303303302302303303303303303303303303303302303302302301301301301301302302301302301302302301301301302303303303302303303303302302302302302301302302303303303302302301300300300300300300300300300301301301302302302301302302302302302302302302302302302302302302302302301302302302302302302302302302302302302302302302302302303303303303303303303303303303303303303303302303303303303303303303303303303302302302302303303303303303303303303303303303303303303303303303303303303303302302302302302302301302301301301302302301302302302302302303302303303303304304305305304305305305305305305304304304304303303303303303302302302301301300300300300300300301300300301301301301301301301301301301301301300300301300300300301301300300300300300300300300300299299298298298297298298297297297297298299299298297298298297296297297297297298297297296296295295295294294295295295295294294295294295295294295294294294294294294295295294294292293294293293293293293293293292292293292292292292291291291291291291291290290290289290289289289289290289288288287288288288288288288288288288288288288287286287286285286285285285285284284284283285282283283282283283284285285286286286286286285286286285285286285285286285285286286287286286286286286286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283284283284282283283284285284283283280282281285282281281284283284285284280283282283283284283284285285285286287286288288288289290290289289288288289288289289289289289289289289289289289289290290291291290291290291291291291291290290291291291292292293293293293293293293293294293292293293292292291292293291293294293293294293293294294294294295294999999297293293999999999999999999999295297296296296295294293294294293293295296296295295294295294295295294294294295295295295294294295295295297297295295296296297297297297298298298298298298299299299300300299299299299299298298299298298298297297296297296297297297296295295296296296295295295296295295295296296296296295295295295294295296296296297296296296296296297297297297298297297297298297298298298298299299299298299298298298298299299299299299299299299300299299299299299299300300300300301301301301302302302302302303302302302302302301302302303303302303303303303302303302302302302303302303303303302302302302303303303303303303303303302303302302301301301300300301301301301301301302301301301302302303302302302302302302302302302302302302302303302302302302301300300299301300300300299300300301302302302302301302302302302302302302302302301302302302302302302301302302302302302302302302302302302302302302302302302303303303303302302302303303303303302303303303303303303303303303303303303302302302302302303303303303303303303303303303303303303303303303303303302302302302302302301302301301301302301302301302301301301302302302302302303303304304304305305304304304304304304304304304304304303303303302302302302301301301301300301301301301301301301302302302301302302302301302301301302301301301301301301301301301301301301301300300300300299299299298298298298299298298298299299299299298298298298297297297297298298298297297297296295295295294295294294295294295295295295295295295295295295294295294294294294294293293293294293294294293293293292292292292292291292292291291292290290291290290290289288290289289289289288288288288288288288289288288288288288288288287288287287286286286285285285285284284283284284284283282283283283283284284284285285286287287286286286285285286285286285286285285286286285285285285286285286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999282283284283284285284284284284283283281281284285283281281283283282286285282282281281283283283284285285285285286287287288289289289289289288289288288288289289289289289289289288288289288288290290290290290290289290290290291290289289291291290291292292292293293293293293293292293292292292292291291291291293293293293293293293293294294293294295295295294294295999999999999999999999999999295295296294294294294294294294295297297296296295295295294295295293294294293295295295295295294296295296295296297296297297298297297298298298298298299299299299300299299299299299298298298298298298298297297297298297297297296296294296296296296295296295295295295296296296296296296296296295295296297296297297296297297297296296297298298298298298298297298298298298299299299299299298298299299299299299298299299299299299299299299299299300300300300300300300301301301301302302302302302302302301301301302302302302303303303303303304302302303303302302303302302302302302302302302303303304304304303303303303302302302301300300300300301301301301301301302301301301301301302302302302302302301301301302302303303302303302301302301300300301300300300300300300300301301302302301302302302302302302302302302301301301301302302302302302302302302302302302302302302302302302302302302302302303302302303303302302303303303303303303303303303303303303303303303303303303303303303303302302303303303303303303303303303303303303303303303303303302302302301302301301301301301301301302301302301302301301302302302301303303303304304304305304304304304305305304304304304303303303303303302302302301301301300301301301301301302302302302302302302302302302302302302302301301301301301301301301301301301301301300300300300300300299299299298298299299298298298298299298298299299298298298298298297298298298297297297296295295295294294294294294294295296295295296296295295295294295294295295294294293293294294293294294294293293293293293293292292291291291290290291291290290290290290289291288289288289288288289288288288289288288288288288288287287287287287287287287286286286285285284284283284283282283283284283283283283283283283284284284283284285285285284284285284285286285285285285286286286286286285286286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999281283282281283282283283281281281281281281283283282282282280283283284283281283283283283282283283283285285286287286287288288288288288288287287288288288289289289289288289289288288289289289290290291290290290289290290290290290290289291290290291292292293294293293293293292292292292292292292291292292291292291292292292292293293292293291292293294292295999999999999999999999999999999295296296295295295295999999999999297297296296295295296294295295293293293292293295294295294294294294295295296296296297297297297297298298297298298299299299299299299300299299298299298298299298298298298298297297297297297296295296296296296296296296297296296296296296296297297297297296296296297297297297298296297298297297297298298298298298298298298298298298298298299299299299299299299298298298299299299299299300300301300300300300300300300300300300301301301301302302302302302302302303302302302302303303303303303305303303302302303302302303303303302303303302303302302302302303304304303304303303302302301301302301301301301300301300301301301301301302302302302302302302302302302302302302303302302303302302301301301300299300300300301301301301301301301301302302301302302302302302302302302302301302302302302302302303302302302302302302302302302302302303302302302302303302302303303303303303303304303303303304304303303303303303303303303303303303303303303303303303303303303303303304303303303303303303303303303303303302302302302302302301301301301301301301301302302302301301302302302302302303303303304304304304304304304304304304304303303303303303303303302302301301301301301301301301301300301302302302302302301301302301302302302302301301301301301302301301301301301302301301301300300300300300300299299299298298298298298299299299298298299298298298298298298297297297297297296296296296295295295294294295294294294295296296296296295295295294295295295295295294294294294294294293293293293293293293293292291291291290290290290290289289289288288289287289287288288288288287288288288287288287287287287287287287287287287287287287286286286286285285285285284285285284285285285285284284284283282283284284285284285284285285285285285285285284285285285285286285285285286286285285286286285286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999281282280281281281281282282282280281281281283283283285282283284284285284284284284283283282282283284285285285287288287288287288288288288288287287287287288288288288287287288288288289288288289289290289289289289290290290290290291291291290291291292292292292293293293292293292292292292292291291292293292292292292291292291292293292292290290291291286999999999999999999999999999999999292293293290293294999999999999999999296296296295296295294294296294292293292291294294294294293294294294294296296296296298297297298297298298298298298299299299298298299298298298298298298299298298298298298298297297298296295295296296296296296296296297296296296296296297298297297297297296297297298297298297297298298298298298297298298298298298297297297297298298298299299299298298298299299299299299299299299300300300300300300300300299299299300300300301300301301301302302303303302302302302302301302303303303303303303305303303302302302303303303303303303304304303302302302302303303304304304303302303302302301301301301301301300300300300300301302301302301302302302302302302302302302302302303303302302302302301301300298300300301300301300300301301301301301301301302302302302302302301302302302301301302302302302302302302302302302302302302302302302302302302302302302302302302302302302303303303303304303303303303303303303303303303303303303303303303302303303303303303303303303303303303302302302302302302303303303302302302302302302301302302301300301301301301301301301301301301301302302302303303303303303303304304304304304303304303303303303303303303302302301301301301301301301301300301301302301302302302302303302301301302302302302301301302301302302301302301301301302301300300300300300300300300299299299299298298298298298298299299298298298298298297297297296296296297295295296295294295295294294294294294294294294295296295295295295295295294294294294294294294294294294294294294293293294293292292292292292291290290291290290289290290288288289289289289289289288289289289289289288288287288287287286287287287287287287286286287287288288287287287285285285286286286286285285285285284283283284284284284284284284285283285285285286285286286286285285285285285285285286285286286286286285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999282280280280283281283282282282280280280283283283283285283284285285286285285284284284283283283283284285285286286288288288287289288288288288289288288287287288288288288287288288288289289289289289289290290289290290291291291291291292292291291292292293291293293293292292293292293292293292291291292291291291291292290291290292291291290290289291290285999999999999999999999999999999999999292293291294999999999999999999999999296295294295295296296297296291291291292293294294294293292293294294295295296296297297297298297297297298298298298299298298299298299298297297297297297297297298298297298297297296296296296296296296297296296296297296296296297297298298298297297298298298298298297297297298297298298298298298298297298297297298298298298298298298299298298298299299299299299299299299299299299300299300300300300299299299299299299299299299300301301301302302302303301302303301302301302302303302303302303303302302302302302303303303304304304304304304302302302302303303304303303303303303302302301301301300301300300300301301302302302302302302302302302301302302302302302302302303302302302302301301301300300300301300300301301301301301301301301301301301301301301301301302301302301301302302302302302302302302302302302302302302302302302302302302302302302302302302303303303303303303303303303302303303303303303303303302303303303303303302302302303303303303303303303303303302302302302302302302302302302302301301301301301301301301301301301301301301301301301301301301302303303302303303304303303303303303303303303303303303303303303302302302301301300300300300300300300300301301301301301301301301302302301301301301301300301301301301301301301301300301301300301300299300300300300300299299299299299298298298298298298298298298298299298297297297297296296295296296296296295295295295295295295294294294295295296296296296295295295295294294294294294294294295295295295295294294293292291292291291291291291290290290291290290290290289289289289288289289288289289289289289289288288288288287287287287287287287286285286288286286286288287287286286286286286286286286286285285284284284283283284283282283283283283283284284284285285285286285285286286285285285286286286285285286285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999279280280279282281282282283283280283279283282283282282284285285285285283286284284284284284283284284285286286287288288288287288288289288288287287287287288288288288288289289288288290290289288288289289290290291291291291291291291292292292293293292294293294293293293294294294293292292291291292292292292292292292291291292292292291290291291292291291999999999999999999999999999999999999999999294294999999999999999999999999999295293999294298294297296292292999999292294294293292292293293294294294295296296296296297298297297298297297298297298297298298298297296296297297297297297297297297297297297297296296296295296296297295296295296297295296297297297298297297297298298297298297297297297297297297298297298297297298297297298298298298298297298298298298299298299299299299299299299299299299299299298299300300299299298299299298298298299300299300300301301301301302300301301302300301301301302303303303302302302302302301302304303303303303304303303303303302301301302302303303303303303303303301301301301301301301301301301301302302301301301301301301301302302302302302302302302302302301301301301300300300300300300299300301300300300301301301301300301300300299301301301301301302301301301301302302302301301302301301301301301301302302302301302302302302302302302302302303303302302302302303303302303303302302302302302302302302302302302302302302302302302303303302302302302302302302302301301302302302302301301301301301301301301300301300300300300301301301301301301301302302302303303303302303303303303303303303303303303303302303302303302302301301301300301300300301301301301301302302302302302301301301301302301302301302301301302301302302302301301301301300301301300300300301300301300299300299299299299298299298297298298298298298298297297298296296295296296296296296296295294295296295295294295295295295295296296296296296295295295296294295295295294294295296295295294293292292292292292292292292291291291291290290290290289288289289290288289288288287288286287288288288288287287287287287287286286287286286287287286287286287286286286287286286286286286285285285285285285283285285284283283284283284283283283284284282284286286286286287289285285286286286286286287287286284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999279281281283282280279283282282283283283283284284283284284285286286286285285284283284284283283283284285286286287287287288288288289289288287287287288288288288289288289289289288290290290289289290290290290291292291292292292292292292291293293293294293292293293293293293294294294292292292292292292293292293293292290292293291290290290291293293293290291290999999999999999999293293293290999999999999999999296296999999999999296294999999999999999295293291999999999294294294293292293294294294294296296297297297298298297298298298297298298297297297298298298297297297297298298298298298298298297298297297297297297297298298296297297297297296297297297297297298297298299299298299298298298298298298298297298298298299299299299299299298300299298298298298299299299298299298300299299299299299299299299299299299299299299299299298297298298298300300301300299300300300301301300300301302301301301300302303302302302303302302302303303303302303304303304304303303302302302302302303303303302302301301300301300300301300300300301301301302302301301301301302301302302302302302302302302302302301301301301301300300300300300300300300300300300300300300300301301300300300300301301301301301302302302301302302301302302302302302302302302302301302302303303303303303302303302303303303303303303304303303302303303303303302302302302302303302302302302302302302302302303303303303303303303303303303302303302302302302302301301301301301301301301301301301300301300301301300301301301302302302303302302303303303303303303303303303303303303303303303303303303302302301301301301301301301300301301302302302302302302302301301302302302302302302301302302302302302302302301301301301301302301301301301300301300300300300300299299299299299298298298298298298299297298298298297297295296295295296296296296295295295295295295294294295295295296296296296296296295295296295294294295294295295295294294293293294292293292292292292292291291290290290289290291288289289289289288288287288287287287287288288287287287287287287287287286286286287286286287287287286287287286287287287286287286286285286285285285285285286285285284284284285284282283283283282283284285286287286287288284287287286285286286286285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284283283281283284283283283282281282282283284282283283283284285285286286284284283283283283283283283283284285286286287287288287287289289289289288288288289289287289289288288287288290290290289290290291291291291291292292292292292292292292292293294291293292292292293293292293294294293293293293292291291292291291292291291292291290289999999290291290290291289289999999999999295294294293292292292999999999999297296295999999999297298999999999999999999295292999999999294295295294293294294294294294295296296296295298297298297297297299298297297297297298298298297297297297298298298298298297297297297297297297296297297298298298297297295296297297298298298298298298298299299299299298299299299298299299299299299299299299300300300300299301299299299299299299299299299299299299299300299299300299299299299299300299298299298298299299299299300300300301300300300301301300301301300300301300300300301301303303303302303303302302303303304303304303304305305303303302303302303303303303302302302301301301301301301301302301301301301301302302302302302302302303302302302302302302303303302302301301301300300300299300300300300300300300300300300300300301300301301301301302302302302302302302302302302302302302302302302302302302302302302302302303303303303303302303302304303303303303303303303303303303304303304303302302302302302302303302302302302302302303303303303303303303303303303303303303303302301302302301301301301301301301301301301301301301301301301300300301302301301302302303302302303303302303303303303303303303303303303303303303303302302302301301301301301301301301302302302302303303302302302302301302302302302302302301302302303303302303302302302301301302301301301301301301301300300300300300299299299299299299298298298298298298298298297297297297296295296296296296296295295295295295294295294294295295295296296296296296296296295296296296296296296297295294295295294294293293293292292293292292292292291291291290289289290290290289288287286287287287286287288288288288288288288288288287286287287286286288286288288287287286287287287286287286286286286285285285285285284284284284284284284284284284282283283282283284284284285286285287288286285285285286285286286289285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283283283283283283283283282282282281284283281283283284284285285285285285283283283283282283282284283284283283285285285287287287287288288288288287288289289288286287287289289289289289289290290289289291292291291291292292291292292292292293293294294293293294293293292293292292293294293292292292291291291291291291292291290290292291290290290289290290289289289289290999999294295293293292292293293292999999999297296294999999999999999999999299299297296295293999999999295295295294294294295295294295296295294295296296296297297296297298297296297297298297298297297298298298298298298297297297297297297297297297297297297297298298297297297297297297297297298298298299299299299299299298299299299298299299299299300299299299299300300300299301300298298299299299299300299299299299300299299299299299298299298299299299298299298298298299299299299300299300301301301300300301301301301299301300301300300301302302301301302301302302303303303304303304304304304304303303303303302303303303302302302302301301301301300300300301301301301302302302302302302302303303303303303302303302303302302301301302301300299299300300300300301300301300301300301301301301301301301301301302302302302302302302302302302302302302302302302302302302302302302302303303302303303303303302302302304303303303303304303303303303304304303303302302302303302302302302303303303302303303303303303303303303303303303303303303303302302301301301301301301302301301301301301301301301301301301301300300301300301302302302302302302302303303303303303303303303303303302303303303303302302301301301300301301301300301301302302302302302302302302302302302302302301302301302302302302303302303302302302302301301301301301301301301301300300300300299299299300300299299299299299298298298298298297298298297296296295296297296296295296295295295295295295295295295296296296296296296296296295296296295296296296296295295295294294294293293293292293293292292292292291292291290289289290290289289288288287287287287287286288288289288288288288288287288288287287287287288288288287287286286286287287287287287287288286286286286286285285285285285285284283284283283283284283283285285284285285286286287284285284285285285285286286287285284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999282282283284283283283282282283283282284283283283285285285285284285285284283282282282282284284285284283283283283284285286286286286286287287288289288289288287287288287287288288288288288289289290290291292290290290291290291292292292292293293292294294293293293293292292292292293292293293292292292291291293292293294291291292291292290290291290289288289288290289290289294293293293292288289291293293293999999999295294293999999999999999999295299298297296293999294295296296295294294293294295295295296296295296297297297297297296297297296296297295296297296296297297297298297297297297297297297297298298298297297297297298297297297297298297298297298298298298299299299299299299298298298298299299298299298298299300299299300300300299298300299298299299299298299299299299298299299299299299299299299299299300299298298298298299299299298298298299299300301301301300301301300300301301299299300301300300300300300299300300300302302302302302304303304305303304303303302303302303302302302302301301301301300300300300300300300301301301301302302301302303303302303303302302302302302302302302301301300299999300301301300301300301301301301301301301301301301302302301301301302302301301301302302302302302302302302301302302302302302302302302302302302303302303303302302303304303303303303304304303303303303303303303302302302302302302302303303302303303303303303303303303303303303303302302303303302302302302302301301301302301301301301301300300301301301301301301301302302301301302302302302302302302302303303303303303303303303303303303303302302302301301301301301300300300301301301302302302302302302302302302302301302301301302302302302303303303301302302302301301301301301301301301301301300300300300300299299299299299299299299299299298298298298298297297298297296296297297296297296296296295295295295295295295295295295296296296296296296295295295296296296296296296294294294294293293293294294294292293292292291291292291291289290290290290290288288288288288285287287287289288289288288288288288288287287287287287288287287288288287287286287287287288286287286286285285286286286285285285285285284282282283284283283284284283284283285285286286285285285285285285286285286286286287285285 999999303303302301302301297297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283283284283284284282283283284285285283284283286284285284285284284284284283283283284283283283284282283283282282284285286286286287287287288288288288287287287287288287288287289287287288289289290290291290290291291291292292292292293292291292293293293293293293292291291291293293293292291293292291291291290292293292292292290291292293292999999999999999999999288289295295293291290287999999999293293293999999295295295295294294999999999999999297296294294294293293295295295294295294294294295296296297296297297298296297297297297298299296296296296296296297295297297297298296297297298298298298298297297297298298297297298297297298298298298298298298299299299299299299299298299299299299299299299299299298299299299300299299299299299298298297298299299299299298298297298298299298299299299299299298298299299299299298298298297299299299298299299299299299301300299299300300299301299298298299298299300300299299299299301302302302302302303303303303304304303303303302302302302302302302302302301301300300300300300300301302301300302302302302302303302302303303302302302302302302302301302301300999300300301301301301301301301301302302302302302302302302302302301301302301301301302302302302302302302302302301302301302302302302302302303302302303303302303303303303303303303303304305304303303303303303303303302302302302302303303303303303303303303303303303303303303303303303303303303303303303302302301301301302301301301301302301300301301301301301302301302302302301301301302302302302301302302302303303303303303303303302302302302302301301301301301301301301300300301300301302301302302302302302301301301301302301301301302302302303303303303303303302301301301301301300300300300300300300300300300299299299299299300299300299299299299298297297298298297297297297297297297296296296296296296295295295295295295295295296296296296296296295296295296296296296296296295294294294294294294294293293293293292292292291291291291290290290291290290289288288288287287287288288288288288289288288288288288287288289288287287288288288288287287286287287288288286287287285285285286286286286284285285284283283284282283284283284283284284285286286286285284284285284285285285285285285286286285285 305302299298300302301300307297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289283283283283283284282285285286287286286284284284284284285285285286285286283283283284283284282281282282281282282283283286286286286286287287288287287287287287287287287288288287288288288288289289288290290291291292292292292292293292291291292292293293293293292292292293292292292292293294293292292292291291292294294292292291292294294294292294999999999999999999999296295293291291287999999999291292292292999999293295294294294999999999999999296294294294294294293294295295295295295295294295297296296296297297297297296296296296296299297297296294296295296298298297297297297297298298298298298298297297297297297298297297297297298298298298298298298299299299299299299299299299299299299299298299298298298298299298299299299298299300299297298297298299299298297297296297297297298298298299298299299298299299299298298298297298298298297298298298298299299299299298298298298299298297297298299299299299299300300301300300301301301301302302303303303302302303303303303303303303303302302302301300300300300299299300300300301301300302303302302302302302303303302302302302301301301301301302300999999301302302302302301301302302302302302302302302302302302302302302301301301301301302301302302302302302302302302302302302302302302302302302302302303302303303303303303302303303303303303303303303302302302303303302302303302302303303303303303303303303303302303303303303303303303303303303303303303302302301301301301301301301301301301301301301301301301301301301301301301301301302302302302301301302302302303303303303303303303303302302302301301300300301301301301301301301301301301302303303302302301302302301302302302302301301302303303303303302302302302301302302301301300300300300300300300300300300300300300300300300300299299299299298298298298298298297297297297297297297297297297296297296296296296296295295296296296296296296296295295295295295295296296296296295294294295294294294293293293293293292292292292292292291290290290291291290289288288287287287287287287287287288288288288288288288287287288287287287287288288287287287287287287287287287288289288286285285285285285285284284283281282285284283284283283283285285285285286285284285285285286286286285285286286286286286285 304303300298297298296297299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999282283283285285285286285286287288287287287287287287287286287286286284284284283283284283283283282282283283283283283284284285287287287287287287289288287287287287286287287287286288288288288287288289289290292292292292292292292292292293292292293293293292292292292291291293293293292295294293293292294292292292292295292292293294295294295290296999999999999999999999999296292293291290288999290292292292292999999293293293296296293999999999999999294293293293293294294295295296296296295295296297297299297296297296296296296296296297297295296293294295297297298298298297297297297298298297298298298297297297297297297297297297297298299299299299298299299299299299299299299299299299299299299299298298298298298298298298298298298298298297297297298298298298298297297297296297297297298298299299299298299299300298298298298299298298299299298298298299299299298298298299297298298298298298299299298299299298300301300300301301301301301301302302302301301302303303303302303303303303303302302301300300300300300299300301300300301301301302302302301301302302303302302301301301301300301302302302301302302302302303302302302303302303303302302302302302301302302302302302302301301301301302302302302302302302302302302302302302302302302302302303303303303303303303303302304303303303303303303303302302302303303302303302302302303303302303303302302302302302302302302303303303303303303303303303303303302301301301301301301301302301301301301301301301301301301302302301301301301302301302301302301302302302302303303303303303302303302302302301301301301300300301301301301301301301301302302303303302302302302302302302301301302302302303303304303303303303303302302302302301301301300301301301300300300300300300300300300300299300300300300299299299298298298298298297297297297297298296297297298298297296296296296296296296296296296295296296294295295295295295295295295295294294294294294294293293293293293293293292292292292291291290290290291290289289288288287286286287287287286287288288288288288288288288288289287288288288288287287287286287287287287287287287288286285285285285285285285285285283284283282284283282282283283285285284285284285285285285285285286285285284286286286286285285 999301300295294294294293299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284284285284285286286286286287287288288287287287287287286286285284284282282282282282282281282281283284283283281282284284284286287286286287286286286286285285285285285286287286287287288288287288289290291291292291291292292291291293292293291292292293292293293292291293292293295295294293294294295294293292291291290291294294294294295295293293291293999999999999999999293999292292292291290289291291291292292291291290292294293291999999999999999295292295295294294294295296296296296296296297297296297297297297296295296297297297296296296297295296295296297296297298297297298298298297297298296297297298297297298298297298298298298299299299299299299299299299299299299299298299299298299299299298299298298299298298298298299298299298297298298298298298298298298297297297297297298297298299298298299298297299299298299299299300299300299298298299298298298298298298298298297297298298298299300299299300299299300300299300300301301301302301301301301301301301302302303303303302302302302302301301300300300300300300300300300301301302301301301301302302303303302302301300301300300300301302301302303303303303303303302303303303303303303303303302303302302302302302302302302302302302302302302302302302302302302302302303302302302302302302303303303303303303303303304304304304303304304303303302302302303302302303303302302302302302302302302302302302302302302302302303303303303303303303303303302302301301302301302301301301301301302301301301301301301302302302301301301301302302302302302302302303303303303303303303303303303303303302301301301301301301301301301301301301301301302302302302302302302302302302302303302302303303303303303303303302303303302302302301301300301300300300300300300300300300299299300300300300300299299299300299299299298298297297298297297297296297297297297297297296296296295296296297296296296295295295295295295295294294295295295295295294294294294295294293293293293293293293293292292292292291291290291291290290289287287287286287287287288288288287287288287288288288287288288287288287287286288287286286287287287287287287287286285284285285285284285285285283283284284284283284283283283285285284285285284285285285284285284285285285286285286285286285285 999298296296294295294293294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284282282285285287286287287288287288288287287287286286286285284283283284284283282283281282282280282284283282282283283283285286286285284286286285284286286284284285286286287288287287288288288288289290291291292292291293292290294293293292290292291291292292294294292293292292295294293293293294293293293292291293291290296293293294293294292294290291999999999999999999999999292293292290289291290291291292291290291291290999292291999999999999999999999295295295295294293295295295295296296296298296296296296297297296296298297297298296297297296296295295295297297298299297296297297297297297297297297297297297297297297298298298298298298299299298299299299299300299299299299299300299299298298298299299299298299299299300299299299298299298298298297298298297297298297296297297297297297298298299298298297297299299299300300299300300300300298300299297297298297297297298298298299297299299299300300301299300301301301300300300301301302301300300300301301301303302303303302302302302302302301301301300300300300300301300301301301302301302302301301302302302303302302302301301301302301302302303303304303304303303303304303303303303303303303303303302302302302302302303303302302302302302302302302302302302302303303302302301302302302302302303302302303303303303303304303303303304303303303302301302302303303303303303303302302302302302302302302302302302302302302303303303302303303303302303302302302300301301302302301300301301301301301301301301301301302301301301301301301302302301302302302302303303303303302303302302303303302302302302301301301301301301301301301301301301301301302302302302302303302303302302303302303303303303303303303302302302302302301301300300300300300300300300300299299300299300300300300300300300299299299299298298298297297297297297297296296297297298297297296296296295296296296296296296296295295295294294294294294294295295295296295295294293294294293293293293293293293293293293293293292292291291291290290290289288287287286288287287287288288287287287287288288287287287287287288288288287287287287287287287287288288288288286285284285285285286285282282282283284283283284283284283283284284284284284284284286285285285285286285285285285285285284285284 999300300296296293294292295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999280282285285287287287287287287287287287287286286286286284284284284285285284283282282282284283284282283282282282283283285285285284285285286285285285285285285285286286287287287288289289289288288290291291292291291292291290293293292292291290292291290292292293293292292293293293293293293293293292293293293294291292295297293293294293294295294293294999999999999999999999290292291291289289290290291291291291291291292292292291291291999999999999291999295294294293293292293295295295295295296296295296296296296296296295296296297298297298297297297296296297297296297296296296296297297297298298298298298297298298297297298298298297298299299298300299299299299300299299300299300299299298299299299299299298299299300300300299299299298299299298298297298297298297297297298297297298298298298298299299299299299299300299299300299299299299299299298298297298297296297297297298299298299299298301300301299300300300300299298299300301301300301301301300301301303302303302302301301302302302301300300299299300300301302302301300301301302301302302301301302302302302303303303303302303302302303303304304304303303304304304303303303303303303302303303302302302302303303303303302301302302302302302302302302302302303303302302301301302302302302302302302302303303303303303303302303303303303302302302302302302302302303303303303302303303303302302302302301302302302302303303303302302302302303303302302302301301301301301301300300300300300301301301301301301301301301301301301301301302302302302302302302302302303303302302302302303303302302301301301301301301301301301301301301300301301302301301302303303303302302303302302303302302303303303303302301302302302301301301300300299301299300300300299299299299299300300300300300300299299299299298298298297297296296297297297296297297296297297297296296295296296297296296296295295295294294294294294294294296295296295296295294294294293294293293293293293293294293293293293293292292291291291290291289288289288286287287288286287288288287288288287287287288287287286287287287287287287286286287286287288289287288287286285283283285285285283283283283284283283283283283284283285284285285284284285284285285284285284285285285285285284284285285 298300299296296295293293295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999280285284285286286287287287287287286286286287285285287286286286285287287284285284283284284285285283283283281281283283284285286285285286286286285285285285285285285286286286287288288289287288289291291291291291291291291291293292293292292290290289293293292292291292292292293293293293291294293295292292292291289293291292294294294294294296297296292999999999999999999999289290291289289288288289289289290291291291292291291291290290290290290286293999292293294293293293292293294295295295295294295296295296297296296295295295296298298299297298296297296296295296295295296296296296297297297298298298298298298298298297297298298298299300300300299298299300300299300300300300299299300298299299300298300299299300300300300300299298298299299299298298298298298297297297298297297298298298298299298298298299299299300298299298298298299297298298297297296296297298298298298298299298299299300302302302301301301300299300299300300300300301301300301300299300302302303302301301301301301302300301300300299300301301301301300300300300301302301302301302302302302302302303302303303302302302303304304304303303303303303303304303303303303303303303303302302302302302303303303302302302302302302303303303303303302302302302302302302302302302301301303302302303303303303303303302303303302302302302302302301302302302303303303302303302302302303303302302302302302302302302302303303303302302302302302301301301301301300300300300300300300300301301301301301302301301301301301301301302301301301301302302302302302302302302302302303302303302302302301302301301301301301301301301301301301301301301302301303302302302301302302302302303302303303303302301302301301302302300301301300300300300300300300299299299299299299300300300300300299299299298298298297298297298297297297297296297296297298298297296296296296296297296296296295295295295293294294294294294295295295294295294294294294294294293293293293293293293293293293293293293293292291292292290289290289288288289289288288290289289289288289287287288287289288287286287287287286288287287289288286286287287286285285285285284284283285282283283283283284283284283283284285284284286286285284286285285285284284284285285284284284285287286285 296298298296294294293295293999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284283283285287288288287286287286286286287287287286287287286286287288287286285286284285284286285286284284283283284284284284284286286286287287287286285285285285285285285285285288288288289288288289292292289290291290291291291293292293292292293292291292293293293294292294292292293293292290293292293292292291291291292291292293294293294295296297295291999999999999999999999287288290287288288287287288288289290290290291291291291290289290290288999999999288290289289293294293291292295295295295295294295296296297297297296295296295297297295297296297297298297295295296295296295296296296296297298298298298298298298298298298298298298299300300300299298299300300299300300300299299298299299300300300300300300300299300300300300300299299299299299299298299298298299298298297297298298298298298298298298298297298299299298298298297297298298296298298297297297297299298299298297298298298298300300305305302303301299300301301301301301300300300301299299300300300301303302301301301301301302302301301301301301301301301300300300301301300301301302302303302301301302302302303303302303302303303304304303303303303303303303303303303303303303302303303302302302302302302302302302302302302302302303303303304303303303302302302302302302301301301303303303303303303303303303303303303302302302302302301301301301302303303303303302303302302302303303303302302302302302302302302302301303303303303302301302301301301301300301301301301301301301301301301301301301301301301301301301301301301301301302301302302302302302302302302302302302302303303302302301301300301301301301301301301301301301301301302302303303302302302302302302302302301302300302301301301301301301301301301301300300300300300300300299299299299299300300300300300300300299299298298299298298298298297297298297298297296297297297297297297296296296297297296296295295295294294293293293293294295295295295294294294293293294294293293293294294293293293293293293293293292292292292292291291291290289289289289288288288289288288288286287287288288287286286287286287287287288288286287286287286287287286285285285285284284284284283282282282283283283284284284284284285285286286284283284285285284284284284285285284285284285284285285 295297296293295294295297295999292295295999999999297296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284289282283287287289288287286286286286286285288288287287288287288288288287288285287287287287287287286286285284285285284285285286286286287286287287285285286285284284285284284286286287288289288289289289291290290290290290289292291292292292292293290290290292292293293293292293293294295293292292293291293291293291292294293292293294294293294295295294292290999999999999999999288288289287287286287287288288289290291290291292292291292291292289287284999999288284282289289291292291289294295294294295295296296297297297297297296297295296297295295296296298297297296296295295296296295296296297297297298298298298298298298298298298298298299299300300298298298299300299300300300299299299299299298299300300300300300300300300299299300300299299299299299299299298298298299298298297297297298298297297298297297299297298298298297297298298298298298299297297298298298298298299299298297299299297299299299300300301302300301303301299301301298299298299299299301299299300303301301302300301301301301301300301300300300300299300299300300301300301301302302302302302302303302302302302302303304304303304303303303303303303303303304304303303302302302302302302302302302302302302302302302302302302302303303303304304303302302302302302301302302302302303303303303303303303303303303302302302302302302302302301301301302303303303302303303302302302303303303302302302302302302302302302302302302302302302302301301301301301301301301301301301301302301301301301301301301301301301301302301301301302302302301302302302302302302302302302302302302302303302302302301301301301301301301301301300301301301302302303303303303302303302302302302302302302302302301302302301302302301301301301300300300299299300300300300300299300300300300300300300299299299299298298298298298298297298298297297297296296296296297297297296296296296297296295295294295294293293293294294294295294294294294294293293293293294294294294293293293293293293293292293293293293293293292292291292291290290290290290289288290288289290288288287287287287288286287286287287287287287287285287287287287287285284286285285286285285284284283284283283284284284283284285284286285285286284283284284284284284284284284285285284284285285285286 295296298298297295295294291289289291292294294294294293294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999281283283285286288289287285286286285286286288290289288288287286286286286287287286287288288286288286286286287286287286286283284285285286285287286286286285285285284284284284285286285286287287288288289290290291290291290290291291292291292292293293293290290294293292291291293294293294293293292292291291294292292293293294293292293293292292293294294294294292999999999999999999289289288287287999288288287288289289290291292292292291291291293999288284283999285284290291291292293294288999294294296296296297297298297298300296297298296297295296296294297298297297295296295296296296296295296297296296297298298298298298299299298298298299299299300299298298298298299300299299300300298299299300299300299300300299300300300300300299299299299299299299299299299298299299299298297297297296296296298297297296298298297298298297297296298298298298298298299298298298296298298298297298298299298298299299299300300300299300303301301300300300300299299299299299300300299301301301302302301300301301300300300299300300300299299299299300301300302301302301302301301302303303303303303303302302303303303303304303303302302303303303303303303303303302302303302303302302302302302302302302303302302302302303303303303303303303303302301301302302302302303303303303303303303303303303302302302302302302302302302302302302302303303303302302303303302303303302302302302302302302302302302302302302302302301301301301301301300300301300301300301301301302301301300301301301300300301301301300300301300301301301301301302302302302302302302302302302303302302302302302302301301301301301301301301301301301301302301302303303303302303303302302301301301301301302301301302302302301301301300301301300299300300300300300300300300300300300300300300300299299299298298298298298298297298298298298297297297297296297297297297297296297296296296295295295295294294294294294294294294293293293294294294293293294294294294294293293292293293293293292293292293293293293293292292292292292292292292292290289291290288291289288288288287288287286286286286287287287287287287287287287287287284285285284285285286285285284283286286284284283284285284285287286285286287286284285284284284284285285285285285285285285284285286 295297297299296294290289288289290291292293292293294293295296296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283284285286287287285286286285286287288289290289289290289288288288287287286288288289286286287287285287287287287286285284284285284285284284286285285286284285284284285284285286285285285286288289290291291290289290291290291291291291289292293293293293293294293291290291292293293294293294291291291293293292292292292291292293294293293292292293294294293292290999999999999290291291290288287999288288287285999291292293293294292290999999292292999288284281283281999999999999999999999999999999295296298297297298298298299299299297299297296297296299297297297297297295296296296296296296296297296297298298298298298299299299299299298298299300300298298297297298299299299299299299299299299299299299300300300300299299300299299299299300299299299298298299299299299299298298297296297296296297298297298298298298297297296297297298297297297298298298297298298298298296299297297298298298298298299299300300300300299300299299299299298299299300299299299299297297299300300300300302301302301300300299299299299300300299298299300300300301301302301302301301301302302303304304304304303302302302303303304303303302302302303303302302303303302302303303302302302302302302302301302302302302302302302302303303303303302301301301301301302302302303302303303303303303303303303303302302302302302302302302302302302302302302302302302302302302302302302302302301301301302302301301302301301302302302302301301301300300300301301301300300301301300300300301301300301300300301301301301301301302301301301301301301302302302302302302302302302302302303303302302302302302301301301301301301301301301301301301302303302303303303303302301301301301301301301301301301301301301300301300300300300300299299299300300299300300300300300300300300300299299299298298299297298297298297297298298298298298297297297297297297297296296296296296296296295295295294294294294294294294294294293293293294293293294294294295294294294293293293294293293292292292292293295294293294294293294293294294294293291290290290289289288289287288288288288286286286287287287287287288287287287287286286287286285286286285286286285284286285285284284284284285285285286285285285286285285284284284284285284284285284284284285285285285285 295294292293295288290290288289289291292293293292296295296295295295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286283283285287286285285286287286288288289288289289289289289287287287287287286286287287287286287288287288288285289286285284284284284285285286285285284285285285284285285285285283285286286287289288289290292289290290290290291291290289289290290290294294294294293293291291291292290290291293293290292292292293292291290289292292295292292291291292292292291290292289999999999290291292290288999999288288288288999999292294294293292289999999999292291287285283283285999999999999999999999999999999295297298297298297297297299299299298298298298299299301299298298298297296296295296296296297296298297298298298297298298298298299299299299299299300299299299297298298299298298299298298298299299299299299299300299299299299299299299299299300299299299298299298299299299298298298298297297297296298297297298298299298297297296295297297297298297297297296298298297298297299297298298299299298298299299300301300301301300300300299298299299298299300300299298299297297299300300301301299301302301300300299298298299300299299298299300300300300301302301301301301301302303303303304304304303304303303303304304304303303303302302303302302302303302303303303303302302302302302302302302302302302303302302302302302303302302302302301302302302302302302302303303304303303303302303303302303303303303302302301302302302302302302302302302302302303302302302302301302302301301303303301302302301302302302301301300301301301300301300302300300300300300300302302302302300300301301301300300300300301300301300301301301302301302302302302302303303302303303303303302302302302302302302302302301301301301301301302302301303302303303303302301301301301301301301301301301301301301300300300301301301300300299300300300300300300299300300300300299299299299299298297298299299297297297297298298298298298297297297297297297296296296296296296296296296295295295295294294295295294294294294294293294294294294294294294295295294294294294294293293294294293293294294295294294293294296296296295295292292290289290288289289291290288288287286285286286286287287287286286288289288287287285286286285286285285286283286286285286284284285284284284283285285285284284284285285284284284285284285283284284284284285285285285285 294292294295291291290290290289291292293293290293295297293295293294289999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285284282285284285286286286286287288289290289289289289288289288288287286285286285287288287288288288287288287286285283286284284284284284284286284285284285284283284284284286285285285285287287287286288287292291290289290289289290290291290289290289292292293294292291291291291291291291292293293292293293292292291289289291294294999292292291291292292291290291293292999999289290291290288288287289288290290290290290290292293293293999999999999999291287286285285288291999999999999999999999999999999297297298298298298298297297300299299300300301301302302303300300297296296297296296297298297297299297297298298298298299299299299299299299300300299299298297298298298298298298297297297297298299298298299300299299299299299299299299299299299299299299299298298297298298298298298297297298297297297297297298299298297297296296296296297297297297298298298297299297297298297298298298299299299299300301300301301301300299299298297299299299300299300298298299299298299299300301302301300299299299299299299299299299300299299298298298299299301302301300302301302302302303304303303304304304304304304304304304304303303303303303303303303303303303304304303303302303303303302302302302302302302302302302301303303302302301301301302302303303303303303303304304304303303303303302302303303303302302302302302301302302302302302302302302302302302302302302302302302302303303302302302301302302303302301301301301302302301301302300300300300301301301302302302301301300300300300299299299300300300300301301301301301301302302302302302303303303303303303303303303302302302302302302302302302301301301301302302302303303303303303302302301301301301301301301301301301301301301300300301301301301300299300300299300300300299299299299299299300299299299298298298298297298296296297297297297296297297297296297297296296296296296296296296296295296295295295294294294294294294294294294293294293293293295295295294294293293293294294293293293293293293295294295294294295295297297297296296294292291291292291290290288288288288287287287288287287287287286287287287287287287286287286286287285286286286284285287284285285287285286286286285285285285285284286285285284284284284284285285285284284284285286286285286 293294295292291290289290290291292293292291292294295294295296295289291295292999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999280282283284285286286286285286288289289290290289289288288289288289288287286286286286288288288288287287287287288285287283284284283281281284285285284283283283285284284284285285285285285287287286287288289290291289288289289289289290290290289290290291290293291293290290292291292292291292292293293292292292290289288289292292295999999292291293292292292292291291290290290289289287287287287287287288289290290290290290291294294293999999294287999999999285286284286291999999999999999999999999999999999297298300298299298297296299298299300299300302304304302302301299298297297298298298298297298298297297297298298298299299299299299299300301301302299299300300299300298298298297298298298299297298298298299299299299299299299299298299299299299299298298297297297297297297297296297297297297297297297298298299297297297297298296297296297297297297298298298298298297297297298298298298299299299300301301301301301300299299298299298299299299300300299300299298298299298299300302301300299298298298298298298297298299300299299300300300300301300302301301301302302303303303304304305304304304304305305304304303304304303303303303304303304303303303304303303303303303302302302302301302302302302302302302302302302302302302302302303303303303303303303303303304304303303302302302302303303302302302302302302302302302302302302302302302302302302303302302302302302303303302302302302303303303303302301301302302302302302303302301301300301301301301302302301301301300300300299299300299300300301301301301301301301301302302302302303303303303303303302303302302302301301301301301302301301300301301302302302303303302303303302301300300300300300300300301301300300300300300300300300301300300300300300299299299299299299299299299299299299299299299298298297297297296296296296296296296296296296296296296296296296296296296296296296295295295295295294293293293294294294294294294293293293294294294294294294293293293293293293293294293293293293294295294295296293297296295297295293292292290290292291292292288288287287287287289287287286287287288287288288288287287287287286285286286286286286287286285285286284284284285284284285284284285284284284284285285285285286285286285285286286287286286287287 290291292290291289288288289290291292291291292293292293293295295295293999296292288999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999281285285286286287285285286286288289289290288289289288289288289289288287287286286285286286288286286287286286287290289288286284284284282283284285284283283283284284284285285285285284287287286287288288290290289286290288290289291290289289289290288291291291292291290290291292292292291291291293292292292292292290290290291291290290999999999293292291292292290291292290291289290291290289286287287289290290292291292291291294293291999294293292999999999999285285289290293294999999999999999999999999999296298298298298297296296299299299299298301301305304304304302300300299299298298298299298299298298297297298298298299299299299299300300301301302301301300300298300299299300298297297298298298297298298298298298298299299299298298299299299298298297297297297296297297297296295296296297297297297297296298298297296297297297296297295297297298296297300298298297296298297297297298299299299299299300301301301300300299299298297298298298298299299299299299298299299299300300300299299299296298298296297298299299300299299299300300300300300300301302302303303302303303303304304304305304304304304304303303303304303303303303304303303303303303303304304303303303303302302302301301301301302302302302302302301301302302302302302303303303303303303302302302303303303303302302302302302302302302302302303302302302302302302302302302302301302302301303302303302302303303303303302302304303303302302302303302303303303303302302302300301302301301301301301301300300300300299299299300299300300300300300300301301301302302302302302303302302303302302302302302302302302301301301301301301301301300300301302302303303302302302302301301301300300300300300301300300299300300300300300300300300300300300300299300299299299299299299299299299299300299299298298297297297297296296296296296296296296296296296296295296296296296296296296295296295295295295294294294294294294294294294294294293293294294294293293293293293294293293293293293293292293293294294293295296296295295297297293294292294291290291292292293291291288287288287287287287287287288288288288288288288288287288289286287287287286289289285286286286285287285286286285285285285284284284285286285286285286286285286286287286287286286287287287 291288290290289289288289289291291292293291292292291293294296295295292292297295289286999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285285286286286287286286287287289289289289289289287288288289289289286288288288286285286286288287287286286285287288289289286286285285283284284284284284284284284284284286286287287286286285289289289288289290290289290292293293292291290289289288289291291292292291290290291291291292292292291291291292292291291290290290291289289292290293293292291291292293292292292291290290290290291291290285288288289291292291290292292295294294295295294293292999999999288290291290293293294999999999999999999999297297298297298297297298298299300299299301303304303304305305304304304304299298300300298298298299298297297298297299299299300300300301300300301302301301300300299300299300299299297297297297298297297297297297298298297298298298298297298298298297295296297297297297297297296296297297297297297298297295296296296297297296296295294295297297298297297298298297296295296297298298298298300298299299300300301301300299299298298298299298298298298298298299299299298299298300301299299298299298298298298297298297298298298298299301300300300300300301302302302302303303303303303304304303304304303303303303303303303303303303303303303302303303303303303303304303303304304302302302301301301301301301301301302302302302302302301301301302301303303303302302303302303303304303304303302302303302302302302303302303303303303303302301302303302302302303302302302302303304304303303303302303304303302302302302302303303301301302303301301302302302302301302301301300300300299299299300299299299300300300301301301301301302302302302303302302302303303303302302302302302302302302301301301302301301300300301303303303302302302302302302301301300300300301300300300300299301299300300300300300300300299299300299299300300299300300300300300299299299299299298298297297297296296296295295296296296296296297296296296296296296296296296296295296295295295295294294294294294294294294294294293293293294294294293293292293294294294294294294294293293293293295295296295295295295294295295294293294292292293292292294291290289289288288286288288289287288288288288289288288288288291290291287287287289287287288287288287288287287287286287286285285286285285284284285286286286285286286286287287288287287288287287287 288289288289289289288289289292291291292292292291292294295297296297295293293292290289999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287284285285286286287288288288289289289289289289288288289289288289289288287288287286286284285286285287287289287288289289289284285286285285284284284283283283284284285286287287288289287287288288289289289288290292288290292292292291291290290289288289291291291292292292291292292292292292291292293292293292290291291291291292290289999292294292291291291294295295293293293291292291290292291290999288288291291292292291291293294294294294296295295291290290999289291289290291293295294999999999999999999299297296297297297298299298299300300302301303301303306306304308303304302301301298299298298297298296296297298298297299299299299300301301300300302301301300300300300299298298299297298298298298297297297297297298297298298298298298298298298297295295296297297296297297295296297297298298298298298297296296296296296296296296297296297297298298297295297297296296297297296296296299299299299299299299298300299299299299298298299299299298298298298298298299298298298298299298297297298300300300299297298298298298298299299300300300300301301302302301302302303304304303302302303304304305304303303303303303303303303303303302302303303303303302303302302303303303303303303303302302302302301301301301300300301302301301302301302300301302303303302303302302303303303303304303303303303303303302303303303303303303304304303303302303303302302302303303303302303303304304303303302302304303303302302302302302302304303302302301301302301301301301301301302301300299299300299299299299299299299300300301300301301301302302302302302302302302303303302302303302302302302302301301301301302301301301301301302302302302302302302302302301301301300300300300300300300300300300300300300300300300299300300300300300300300300300300300300300299300299299299298298297297296296296296295295296296296297297297296296296296296296296295296296296295295295295295294294294294294294294294294294294294294294295294294293293294294294294293294294294294292292294294294294294294294295294294294293293292296294295295293290292293290291289288289288289289288288288290289288289288289289292291291287292290290289288288290291286286286286290289288286286286285285285285286286286285286286287287288289289288287288287287288287 286286287289288288289289289289290293293293293293293293294294297298297296295292290289289999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284285286288288288289289289290288289290289289289289290289288289289290288288287287286287289291289289287286288288290290286284289290287285285284284283284285287286286286288288289288287287289287289286288289290290289289291290290290290289289289290290290290290291291291291293292292292292292292293293294292292292294293292292292291999292297294293291291294294293294293293293292293292291292291290999999999291293293291292294292293294295294294293294292290291285287292291291292296295296294999999999999296296297297297299299300299299299304303303304305303305305304308307304301302300298298299297298297297296298299298299300299300300300301300300299300301301300300300299298298298298298298299299299298297298298298298298298298298298297297297298298297297296297297296296297297296297298297298298297298297298297297297296295295297297298297297298298296297297299296298298297296297298297297298298298299299299299299299299300299298298298298299298298298299298298298297299298298298299299300302302300300298298298298299298298299300300300300300301301301301302303304303304304303304303304304305305303304304303303303302302302301301303303302303303303303303303302303302303303303303303303303303302302301301301300301302301301301301302301300302302302302303302302302303303303303303303302302303303303303304304303303303304304303303304304303303303303303303303304303304305304303303303301304304303302302302302302302302303303302301301302302302301301301302302301301300300300300300299299300299300300301301301301301301302302302302302303302303302302302302302303302303303303302302302302301302301301302301302302302302302302302302302302301301301301300300299299300300299299299300300299300300299299300300300299300300300300300300300300299299299299300298297297296296296295296296296295296296297297297296296296296297297296296296296296295295295295296294294294295295294294293294294294294295295295294294294294294294294294294294294294294293292294295295295295295295295296293293293296294295294295295294294295293290290290289289292288288289289289289290290290290290290293294294289293290290290290290291287287286286286288289288286285285286286286286287286287286287287289287288287288288288288287287287288 288288289289289289290289289290290291292293294295293295296297297298297297295999291290291999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284286287288287289290290290291290288290290289290289289289288288288283288289288288287287289292291289289287289289288288287287290291287287286286286285285286286286287288288287287286286287287286285289289290290288289287289290291290289289290290290289291290291291291291292292292293292293293293292293293291294294293292293292291292290291292293291291295295295293292296292294293293292292292291291290999999999293291288291291292293294295294293294295294291293288290293293999293294295294294999999999999295295296300299298301299300298299300305305304304304304304304303303304301301300300300299300298297296295299299299300299299300299301302300300300301302302301300300299299298298298298299298299299298298299299299299299299299299298298297297299298298298298297297296296296296296298298298297298298299297295298298296297297296298297297298297297296294297298298298298298298297297298298297297298298300299299299299299299299300300299299299300301299300300299300300299299299301300301300301301300300300301299298297298299299300300301300301301301301302302302303303303305305305304304304304304305304304304303303303302303302302303302301302303303303303303303303303303303303303304303303303303303302302302301301301302302302301302302302301301302303303303303303303304304304304304303303303303303304304303304303304305305305304304304304304303303303303304304304304304304304303303302303304304303303303303303302303303303303303302302302302302302301302301301301301301301300300300300300300301300301301301301301301301302302302302302302303302303302303302303302303303303302303302301302301302302302302302302303302302302303302302302301301301301301302301300301301300300299300300300300300300299300300300300300300300300301301301301300300300300299300299297298297296296297296296296296296297297297296297297297297298298297297297297296296296296296295295295295295295295294295295294295295295295295294294294294294294294294294294295294294293293293295295295295295295295296293294294295295294293294294294294294293293290290289288290291289287289289289290290289290290289289294292289293292291292292291289288289288290289288291291288288288288288286287287287287288288287287289288288287288288287287288288289 289288289290290290289289290291291291293293293294295295295296295296298297296294293293293295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284284284284286287288289290289289291289289288289289288288288286287286287287289289288288288286292292291290290289290291289289293293289291287287288288286286286286286287288287288288288287288288287285286285289287288287288288288290290290290290291290291291291292292293291291292293293293293293293293292294294293294293293293291292290289290291294295295292296296298298292296295294293295294293292291292293999999999999292290999298294297295293294293293294293293293289291295293999999294296294999999999999999299299297300298299300301299300300300305307303304304303305305304300299301300299298300300298298297297296297298298299298300300301302302302301302301302302302301299300299297298298298298299299297297297298298299298298298298299299297299296297298298298298298298298298297296297297297296297298297298297297298297297297297297299297296297297297298299298299299298296298298298298301297296297298299300298299300298300300299300300299301301300300301299300299299301299300301300301300299301300301301300299299299299299299300300301301301302301302301302302302303303303304305305305305304304305305305304304304304303303303303303303303303302302303303303303302303303303304304303303304303303303303303303303302303302302302302301302303302303302302303304303303304304304304304304304304304304303304304304304303304304304304304304305304304304303303303304304304305305304304304304303303304304304304304302304301304304304304304304303303302302302302302303303302302302302302301301301300300301300301301301301301301301302301302302302303302302303302303303303303303303303303302303302302302302302302303304304304303302303303303303302303302302302301303301303301301301300300300300300300301300300300300300300300301301300300301301301301300299300300299299299298298299297297297297296296297296296297296296297297296297297297297297297297296296297296296294295296296296296296296295295294295294295295294295295295294295295294294294294295294295293293293295295295295295295296295294294295296295293294292292294294293292291291290289289290290289288288290290289289289289290290290293289289289294293293292292290288289290291289289290290291288289287288287288288289287288289288288288289288288288288288287288288289 288289290291291290291290292291291291292293294294293294294294294294295296296294292291291292999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284284284285287288289289288290290289288288287288289288288287288287287287287288288288288289288291290288289290290291292292291293293292290290288287287286286286287287286287286286288288288288288287285287288290290288288287288288290290290290291291291290292292292292292291292291293294294293292295294294295294293293293292291294293287289290293292293295293294295295297292293295294296295294295294293293292999999999999999999999999999999294295292291290293292292294294293295999999293294297295999999999999999999298299298298298301303299299300302305306302305305304303303303303301299300300298300297297296295298296299298297299299299300301302303302302300301302303302300300300299298297298296297297298297298299299299299299298299300299300300299297297298297297298298298298299298298297298297297297298298296296297297297298298299299298298298297298297299299299299298299298299299298298300299298297298300300299300299300300300300301300299301301299300301301301301301301301301300301303299302302301302302302302301299299299300300301302302302302301302301301301302302302303304304305305305304304305305305306306305303304304304304304304304303302303303303303303303303303304304303303303303303304304304304303303302303302303302302303304303303303303304304304304304304304305305304304304304304304304304305304303304304304304305304304304305305305304305304304305305305305305305304304303304304304304304304303303305305305305304304304303303303303303302303303303302302302302302302302301301301301301301302301301301301302301302302302302303302303303303302303303303303303303303302303302302302302302302303304304304303303303303304304303302302302302301301304303300300301300300300300300300300300300300299299300300301300300301300301301301300300300300300299299298298298298297297298297297296296297297296296296297297296297297297297297297297297296296297297296296296296296296296295295295295294295295295295295295295295295295294295295295294295294294294295295294294294295296295294295296296295292292292296295295294290290290290290289289289288289289287290291291291291293293291291289289294292293292292291290289289290289289288289289289289287287287288289289289288287288289288288288289289288288288288287288288 290290290290291291292290291290292292293293293293293293294293294293293296297297295294293294293999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285283284286286288288287288289291288288290290289290288289289288288285284285289290289288287286288290289289289290292291293293289289292289289287288286291286284284285287286286287288287288288289287287288289289289288288288288289290291291291291291291291290293291292293292294291292292293294292294294296295295295294293290290295293290290291291291291290292293293298297293293294295294293293294296295294292999999999999999999999999999999296293293291293292291292292294293294999999294294294999999999999999999999999301299298298298298299297297300298299298304302300302300299300299297298299297298297296295296296297298298297297298299301302302303302302302302302301300298300300297298298297297298298299297298299299298299299298299299300300299299298297298298298298298298299299299297297297297297297297298298297297298298297299299300299298298297298299300299298298297297298298298298298299299299298298301300300300300302299299301300299299299300300301301302301302302303303301303303302301304303302303304303303302302301301301302301301302303302302302302302301302302302303303303303304306306304304305305306306306306304304305306304304303303303304304303303304304303303304303303303303303303304303304304303303303303303303303303304304303304304304304304304305305303304304304304305304304304304304304303305305304304304305305304303304304305304305305305305305305305305305305305304303304305304304304304304305305305304304304304304303303303303303303303303302302302302302302302302302302301301302301302302301302301301302303302301302302302302302302302302302302303302302303303302302302301302303302303304303304304304303303303304304304303303302302301302302300300300300300300300300300300300299299299299299300300300300301301301300301300300300300299299298298299299298298298297298297296296297297298296296297296297296297297297296297297297297296295296296296296296296296296295295295294294294295295296295295294293294294294294294293293292294293293294294293294293293295294295294295294290290290291294293293290290290289290290293289288289290288288290292290293293292294294290289293293292291292291290290289289290289288287289288289288288289289290289289289289288288290289288289289289288288288288287288288 290290290291292289291290291291292293293294294294294293293293295295294295294296295294294297295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999282280282284283286286288289289288286288289289289290289289289289289288288289289287290289289289291290290289290288289289288289290292290290289287287286286287283286285284285285287287287288288287289287287287287287289289288288286287287288288289290290290291290291292292292291292292293294294293293293293293293294295295295295294290999294290290290289290291291290289291292294293292289293293294293293295295296292999999999999999999999999999999999293293292293292291290292291294294294295999999999999999999301300999999999999298297302305298298297301300300300298299299300300301303300300298298297298296296297297297296296297298297297298298299301302302303302301302303302300300301300299298298298297297298298298297297299299299299299299298300300300300299299298299299298298299299297296298297297297297297297298299299298298298298299299299299299299298299299299299299298297297298298298298298298299299299298297299299298299298299299301301301297299299300302301302304304303301302301303304301302301302302303303304304303300301300301302301302302303302303302302301301301302302303302303303303304303304303303304304305305305305305305305305304304304304304304304303304304304304304304304303303303303303303303303304303303303303303303304304304303303304304304304304304305305304304304304304305304304304304304304305305305305305305304304304304304304304305306306306306306305305304305305305305305304305305305305305305305304304304304304303304303303303303303303303302302302302302303303303302302302302302302302302302302302302302302301301301302302302302302302302302303301303302303302303302301301302302303302303303304304304303303304304305304303303303302302302301301301300300300300301300300300300300300299299299299299300299299299300300300299300299299299299299298297297298297297297296297296296296296296296295296296296296296296296296296296296295295295295295296295295295295295294294294294293293293294294294294294294292293293293293293292292293293292292293293293293292292294294294293294292290290291291292292293292296291292290288291289288287288287288292292289289289288288290291290292291292291292291291290289289290290289288289289289288288289289289288288290289288290290289289289288288288288289288288288288 290291291291291292291292292293293295294293294294295294292293292295296295295297295295296296294999999999999293999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286283284285286285284287287289290289287286288288289287288289288289289288288287286286288289289288288288290291290288287287289288289291287292292287282286287287286284286286287287287288288289289288284288288289288286287289289289289287287287289290288290290290290290291291292292292292292293292293292292293293293293294294294295295294288999294291290292290292292291290291291291293292292291290292292292294295295294293999999999999999999999999999999297295294292293291291292291291292293293293999999999999999999300300999999999999301301303305298299301301300299300299299297297299299301299296297297297296297296297297296296295297297296295297298299299300301302302301302302302301302302299298298299297297298300297297298297298299299299299299299299300300299298297298299299298298298299298297297296297299297298298298299299299299299299298299300300299300298298299299299299298297297298297298298298298298298298299298298298299298298300299299300301299301299299300298301304303303303303303303305300301301305305303304304305304302301301302302302302302303303302302303301302301301301301302302303303303302303303302304305305304305305305303304304304303303305305304304304304304303304304304303303303303304303303303304303303303303303303303304304304304303304305305305305305305304304305306304305304305305305305305305304306305305305305305304304304304304305305306306307306306305305305305305304304304304306305305306305305305304304304303303303303303303303303303302302301302302301302302302302302301301301301301302303302303303302303302302302302301301301301302302302302302302302301302301301301301300302301301302302303303304304303304304304303303303302302302301301301300299300300300300299299299300300299299299299299299299299299299299299299299298298299298298298298298297297297297297296296295297296296295296295296296296296296296296295295295295295294295295295296296296295295295295294294294294294293293294294294294294293293293294294293291293293293292292292291293293293292292293294294294294293291292292292292293294294294294291288290287287287287287287287288289289289288288288291291290292293292290292289292290289290289289290288289289289290290289289289288289289288288288289290289288288288288288288289289289288 291291289289289290291290292293294294295294295294295294293293293295297296297297296296291292292999999999297298293999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999282286286284285286287287288289288288289289289291290288288288287288288289288288287286285286291288290288290289290290290290290291290288290289289290287288290288286287287290287286287287287287288289289289288286286289286287288288287289288288288289289289289291290290291291292293292291292292293293293293292292292293292294293294295294293293999292292291291290291292289290291290291291293293295292294295290293295294298294292999999999999999999999999297299295292293293294293291292999293295293294999999999999999999299300299298297300301300302301302300300300295299298299299298297298299300300298298297297297297296297296295294296296297297296297297297298300301302302302302302302300300299298299298297297299299299297296297296297298297297298298298298298298298297296298298298297298297298298295296296296299298299297297298298298298298298298298298296299298299297299299297297295298300305298298298298296297298297297298298297298298299299299298300299301301301301299300300302301302302302300301304303305300301303302304304303304301301301301301302302301302302302302302301302301302302301302302302302303302303302304305304304303304304304303303303303303303304304304304302302302303303303304303303303303304304303303303302303302303303303302303303303303304304304304304304304305305305305305305305305305305305305305305305305305305304305304304304304304304305305305306306306306306305305305305305304304305305305304305305304303304303303303302303303303303303303303302302302302301301301302302302302302301301301301301302302303303303303302302302302301301301301302301302302302302302301302301302301301301301301301301302301303304303303303303304303303303303302301301301301300300299300299299299299299299299299299299299299299298299299298299298299298298297298298298298297296298297297297297297296297297296296296296296296296296296296296296296296296295294295295295295296295295295295295295294294294293294294294294294294294294294293294294293292294294293294293292293292291292294293292292292293294295294295294292294294294293295295296295288287287287287286289286286287286289289290291291293288289293294293291292292290290289289290289289288289288288290291290290290290291291289288289289291289290290288289288288289289289289 291291290291291291291290292293293296295295295295295296294295294296296296297297293295291289290999999999295295293999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284284284286285285288288288288288288289290290289290291289290290289289288287287288289288287287288291291290290290290289289292291292290290289289290286288289288288288286287287288287286287287287287289288288288288287287287289290287285289290290289288289289290291291291291292292292291294292292293293293292291293294291293293294295294294291999999292292291293291292292292291291294292292293292293290297292292293295294295293999999999999999999999301301300295999999295295294294293291999293295295296999294295999999999300301302300300301300300299301303301297299299300298299300299298298298299299297297297297298297298297296296296295297297297298297298298299300301302303303302302302301300299298298298299299298298297296296296297296298297298297297297297298298297297296298298298298298295296298296296297297297296297297298297298298297297299299299298298296298298299299301296298297299300296296297298297298296297298298297297297298298298299298298300297301301301300299299301301301301302301301303302307306306305303305304305304304304301301301301302302302302302302303302301302302302302301302301302302302303303302303304303303303303303304303303303303303303304304303303303302303303303304304304303304304304304303303302302303302303303303303302303304303304304304305304305305306306305304305305306305305306305305305305305305306305304304304304304305305305305306306306306306306306305305305305305305305305305305306305305304304304303303303303304303303303303303303302303302302302301302302302302302301301301301301302302302302303303303302302302302302302301301302301301301302301302302302302302301302301302302301302302302302304303303303304303303302302302302301301301300300300300299299299299299299299300299299299298299299299299298299298298298297297297298298298297297297298297297297297297297297297297296296297296296297296296296296295295296294295295295295295296296296296295295295295295294294294294294294294294294294292294294295294294294294293293294293292292292291292293293292292292293294294291295294293295294295294295295294292290290290289287288292292293289289290292289290291294290294295293292291290290290288289290289289288288288288289291291290290289289290290291289289290290289291291288288288287288288288288 292293293293292293292292293294294294294295294295295295295295294296295293296296292293294290293295297298295291293999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285285286286285286285287287288287287288288288288289289289290291289289288288288288288289288289288288289289289289290289290290290289290290291292292291291290288289289287287288289289288287286286287287287288289288288289288286287288290291288288289290290289290291291292290289290291292292292292293290293291293292292292292293290292292293294294294292282999291292292292292292294293292293292294294293291298290291294298296297293293292999999999999999999999300298300999999999999999294297298294999296297299298299297296999999999300300301301301299299296297299298305301301300300300299299299299298298298298298296297298297298298296297297296297298298298299298299299300303303303302302302303303300299299299298299298299299299298297297297296296297297298297297296297297298297298296299298298298298299298299299299299299297296296297297296297297298299297298297297298297297299297299301296299298295298298297297298298297297298298299297297298299298299299299299300300300300301299298300301300301301301301300303303303308307305305305305303303303304303302303303303303303303303303303304303302301303302302302301300303302302303302302303302302303303304303303303303303303303305303303303303303303303303303303303303304303303304303303303303303303302302303304303304304304304305305305305306306306305305304306305306306306306306305305305305305306305304304304304304306306306306306306306306306306306306306305305305305306306306306305306304305304303304303304305304304304304304302302302302302302302302302302302302302302301301302302303303303303303303303302302302302303302302301301301302301302302301302302301301302302302302302301302302301302303304303303304303303303301302302301301300301300300300299298299299298299299299299299299299299299299299300300299298298297298298298298298297297297297297297297297297297297297297297297297296296296296296296296295295295294295295295295295295295295296295295294294295294295295294294294293294293293294294294294294292293294294293294294293293293292293293293292292291292294294294295292292295297294294295295296293294293292289291287290292294292292291289288288291293294294294293291292290289290289288288289289288288290289288290290290290289290291289290288289291291289288289288288287288288288290288 294295294294294294294294295294294296296296295295296297298297297295296295295292292293292294294293299292292291293999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287287287287287286286288289288286289288289289292292289287289289287288287288288287287288288289288288289288289288290289290290290288288289290292290292292291289289287288287286288290287287287286287287288288290289289290289289288288290291289289290289289290290290290291288289290291293291291293293290292291292292292292292291292292291293294294294294999999999292292293293293293293293293292292292291293291292293291295296295295294999999999999999999999294297296296999999999999999295297299999999296297296295297295297297999999301300299300299298298297297300305309305299301299300299299299297297298298297297297298298298297298297297297298298299300299299299300300301304303302302302301302302300300300299299299300299298298297297298298297297298299299297297296297296297297298297298294297299298299299299299299299298298296297297297297297297298298299298299299298299297298297301301300299298297297298299299298299299297298297297298298298299299299299299299298301298301300297299300301301304304302302301304304307308308300302302305302303302302303302303304304304305304304304304305304303303303303302302303303302302301302301301302302302303303303303303303303303302304303303304304304303303303303303303303303303303304304303304303303303303303303303304305305305305305305305305306306306305305305305305305306306306306306305305305306305306306305305305304305306308307307306307306307306306306306306307306306306306307306306307305305305306304304304303304303304304303303302302303303303302302302303303303302302302302302302302303303302303303303302302302302302302302301301301301302302302302302302302301301301302301302301302301301302302303303303303304303303303302302302302301301300300300300300299299299299298298299298298299299299299299298299299298298298298298298298298297297297297296297297297297297297297297297296296296296296296296296296295295295295294295295295295295295294294294294294294294293293294294294294294294294293293294294293293293293293292291292293293294294294293293293291292292292292293292293294293293296297293292293297296292293296295292289289290292292289288289291287287290290292291292292292290289290290289289290290289289289289288289290291291291291289289290289289290290290289289290289288287289289290290290 295295296295295292293293293293295294297295297296297297298297296296294295295294292293293294293294293291290999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288289289288289289289291290291289288287289289287287289289288288289289288288287290289289289289288287285288291289289289290289290289289289290289288289288292291291289288289290290290289287287287286286287287286287289290289290289289288286288289289290291290289289290289289287287289290289288289292293291291291291291292292292292292292292291293293294293293999999999293292289290293294293293292292292291292293290288293292293293294293294293999999292292292999999294295999999999999999999297297295999999297298295296295294297297999999999300297296297298298297299301307305299300299300300299299296297296297297297297297298297298297298298298297299299299298298299299299299300304302302302302302301301301300299299299300299298298299298297298298296296295296298297297297297297296298297298298295298299297298297300298299299299297297297297296297297297298298298297298298298298299299299301299300299299296295297299300297297296299299298299300298299299300299300300300301300302300300301301300303303305305302303303304303303302302302303302301303301301302302302303304305304306304306305305305303303304302302302303303303303301301301301301302303303303303302303303303303303304303303303304303303304303303303303303303303303304304304303303304303303304303304304304305305306305306306306306306305306305305305305305305306307306306306306305305306306305305305305305305305306307308307307307307307306306306306306307306306307307307307307306306304305306305304304303304304303304304303302302303303303303303303303303303303303303303303302302302303303303303303302302302302301302302301301301301301301301301301301301301301301302301301301301300301301301302302303303303303302302302302302301301300300300300300299299299298298299298298298298298298299299299299298298298297297298298297298298297297297297297296296296296297297297297297297297297297297296296295296295295294294295294295295295295295294294294294294294294294294295294294294294294294294294294294293294293293293293293292293294295294295295294294292293294293292293294294294294299298297295293294295293294295294294293290289288288290294291290291291288290291290290289291290290289291290290289289290289289289289289290290289290291289290291291290289290290289287290291291291290289290291291290 295295295295295295293295294293296297297297298299298298297297298296295297295295293294293294293295292290289289999999296287999999999999999999999999999999999999999999999999999999999999999999999999999999999999294999999999999999999999292289290289290293292291294291292291291288288289289287287289287287287288289288287288288289288288287286285287289289288289289289289289289289290289289289288290290292290290291289290290290289288288287286287288288287285288289289290290289288289287289291291291291291291290290288287286288289289291288289290290291291291291292292292293292292292293294294293293293999999999999292999999292293294293292291291291293293291291291293294294294293294291999290293291291999999294295999999999999999999296295999999999296297296296294294294295999999999999296296295298298298297305308306301298303301299298298299296297296296298296298297298298299299298298297299299297298298299299300300303304303302302301301301301300301300299299298299297296298297296297295296295292296296298299297298297297298298299298297297298297297298299298298298298297297296297297297297298298298298298299298298299299300299297298300300297297298298299298297296298297297296295299298299299299299299300301300301301301300303302303303303304303302301301302302301301302301302302304302303302302302302303304303305305304304304303305304303304302302302302301301302302301302302302303303303303302302303303302304303303303304303304302303303303303303303303303303303303303304303304304304303303304304304304305305306306305306305306305305305305305305305305306306306306306305305305305306305305305305305305306306307308308306307306306306306306306307307307307307306306306306305305305305305305305304304304304304304304304303303303303303303304304304303303303303303303303303303303303303303302302302302302302301301301302302302301301301301301301302301302301300300302301301301301300300300301301301302302302302302302302301301301301300300300300299299299299299298298298298298298298299299299299298298298298298297298298297298298298297298297297296296296296297297297297297297297297297297297297297296296295295295295295295295296295295295295295294294295295294294295295295295295295295295295294294294294293293293293293292294294295295296295295295294294294294293294293295296296296296295294293294293293294294293294292291291290291292291292290289289289289289289289290291290291291290291292291289289289290288289289289289289289289290289290290290289289289288288289290289290290290290291289289 293293292293294293293295295297296297297298297299298298298298297293295295294295294296293294294293293292290292290289290291287286286286999999999999999999999999999999999999999999999999999999999999999999999999999294297999999292292293294293294292293293293291296292290289290289288289287287287287287288289290290290290288287287288287285286286286286287286289290290289290290290290289289288289290290291290290291290291289290289287286286286286287287288289290291289290290290288288289290289291292292292291291290289288287288287288292292292290290291291291291292292293293291292293295295294295293999999999999293292292293294293293294293293294293292292292292292292295295294294293999293294294294294999295293999999999999999999297295292999999999297298297297297295294999999999999999296297294292295297299305304304301299302302300299299299296296296297298298299298298299299299298299298300299298299299300301301303302303303302302303302302302301300300298298299299297298297296297295296295297295295297297297297298297298297298298299297297297297297298299298298298298298297297297297297297298298297298298300300299300300300299299300298296293299299298299300295298297298298295294300299299300300300301301302301300302301301301303303303304303303303300300300298299302301303303302304306303303304303303303304304303306304304304304305305303303303303302302301300302302303302302303303303303303303303302302304304303302303303303303303304303303303302302303303303303303303303303304304304304303304304304304305305306306305306305305305305305305305305305305305305305306306306305305305306306306306306306306306307307307306306306306306306306306307307307307307306306305306306306306305305305305305305304303304304304304304303304304304303303304304303303303303303303303303303303303303303303302302302302302302301302302302302302302302301301301301302301301301300300301301300300301300300301302302301301300302302302302302302301301301301300301300300299299299299299299299298298298298298299299299298299298298297297298299298297298298298298297296296296296296297297297297297297297297298298297298297297295295294295295295295295295296295295295295295295295295295295295295295295295295296295295294294294294293294293293293293293295295295295295294295294293293294293293293295295296297295295295294294293293293294295294294292292291291291291291291289288289291290290289290290289290290290290292290290291289289290289289289288291290290289289290290290290289288288287288288289289290289291291291291 293294294293293293293293296296296296297297297298299299298299295294296295295294293292292291291293294292292290290290291999999285288286289999999999999999999999999999999999999999999999999999999999999999999999294295294291293294294295296296295295295293293292293292292293291291291287288287290289288288289290290290288287287287287287286286286285285288290291291290290289289290289290290291289290291289289289291292292292292289286287286286288288288288287290291290290290289287288290291291292290291290290289290290289288288287286286288290290290291292293292292294292290291294293294293293999999999999291292293292292293294294294294293293294292292291291292293293295294293293293292292293294295295295296294295999999999999298298294999999999999296298297297297295295295999999999999293296296291293297300299299299299300300300299299299299298296296298297298296298298299299299300300301302300300299299300301302302304303303303302302302303304302302300299299300299300298298297297295296297296297298298297298298298298298299298299299298298298299299299298298298298298298298298298299298298298298297298300300300301301301299299298298299296296299298299298300298300298299296298295301300301301300301300301303303303302301302301302303305305304304301302300300301299299300302303302306303303304305303303305304305305306304303304304304304304304303303303303302302303302303304303303303303303303304303303303304304303302303303304304304304303303303302302303303303303304304304304304304304303303304305305304305306306306306306306306306306306306306306306306305306305305306306306306306307306306306307307306306307307307306306306306307308307308307307307307307306306305306306306305306305305305304305305305304304304304304304304304304303303304304304304303303303303303303303303303303303302302302302302302302302302301302302302302302301301301302302301301301301300301301302301301301301302302302302301301302302302302302301301301300300301300300300299299299299299298298297298298298298299299300299298299298298298298298297297297297298298297296296295296296296296296296297297298297297298298297297297297295296296296296296296295295295295295295295295294294295295294294295296296297295296296295295295294294294294294293294294293293294293294294293294294295295294294293294297296297296295295295296294293294294294293293293293292291290290290291290291291290291293291292291292292291290290290290290290290290289289289289290291290291290290290288289289289287287287288289289289291290291291292291 294293293293293293293294296295296297298298298296299298296297294295295296295293294293293292292292291293292291289290291999999286287286289288999999999999999999999999999999999999999999999999999999999999999295299299296292294296297298297298298298295294294292293292291292288287286287289289290289289289289290289290289289288287288288287287287287287288289288288290289289290290289289290291291291290290289289289290290292291288288287287288288287286288289291291290290290289289288288290291291291290292290290289290290290289290286287288289289290292292294291293295293293293294293293293292999999999290292293293292292293293293293293294293293292291291293293293294297295293291292292291293294294294295295293293999999999999299298295999999297294297296299297299298297296999999295297296297298999295297299297299300300299299298299299298300299297298298297296299298298297298299300301301301301299299299300301302302303302303304304303302303301302302303302300298297298298297298296296296297296297297299299298298297298298298299299298298298299299298299299298299298298298298299299299298297298298299299300299299300301299299299298296297297296297299299296296300299300297295300301299301301302300301301301304305303301301302302302305304304303302302300299298301299300300298301302305306304304304306305304304305305305303304305304303303303303304305304303303303303304304303304302302303303303303302303303304304304303303303303304303303303303303303302302303303304303304303303303304303304304304305304304305305306306306306306306306305306306306306306305305305305306306306306306306306307307306306307307307307307306305306306306306307307307307307307306307307306306306306306306306305305305305304305305304304304304304304304304304304303304304304303303303303303303302303303302302302301302302302302301302302301302302302302302301301301300301301301301301301301301301301300301301302301302302302302302302302302302302302301302302301301301300300299299299299299299298297298298299299299300300300298299299298298297298298297297298298297297296296295295295296296297297297297298297298298298297296297297297297295296296297297296295296296295296295295295294294294294295296296296297296296296296296296295294295294293294294294293293292292294294294293294295295296294295294294294293294293293293293293293293292292292292293292292292291290292292291292293291291291292292291291292291291292290290289289289288289289289289290289290291289289289289289289289289290289290290290291290290290290292290 293293293292293294294294295295297298298298298298296297297296295297296297295296294294293293293293293293293291291291291289292291292289288288289289999999999999999999999999999999999999999999999999999999999999295298297296297297298297297297297297297293292291291291290291287288287289290289289288288288291292290290289289289288287287287287286287287288288289288290291290290291290289290291291291290289289289287288290290291289288284286287288286287287288289290290289289288287286286289289288291290290290290290290290289288290289288289289290295295295294289293295296294294294292294999999999999293293294294293293293293293293293293293293293293293292293295294295297296293292292292292293293294295292292294295999999999999297295999999298298299295294999299301299295294999999296297297298297999293294297298297299301299298298298298298298299299299299298297297298298299300300300301301301301301300300301301301302303302303303303302302302300301301303302301300300298298297299299299298298297296297298298298297298299298298298298298298298300298301299299299299298297298298298298298298298299299299299300299300301300299299299297298297297299298297296298299301299299298300296297298300301300301301302302305305305304301302302302303302303302302301299298300301302299298298300302304306303302302304305304305306306305306304305305303302303304304306305304304304303304304303303304304303302302302301303303303304303304304303304304303303303302302302302303304304304303303303304304304304303304304304305305305304305306306306305305306306306306306306306306305305306306306306306307307307307306306306307307306306307306306308308307307307307307307306307307307307306306306306306306306306305305305304305305305304304304304304304304304304304304304304304304303303303303302303303303302302302302302302302302302302302302302302302302301301300301301303302302302300300301301301301301301301302302302302302302302302302302302302302302302302301301301300300299299299299298298298298298299299299300299300299299299299298298297297297298298298297297297296295295295296296296296297297297297298297298297297297297297296296295294297296296296296295296295295295295294294295294295296296296296297297296296296296295295295295294294293293293291293292293293293294295294295293294294293294295293294294294294293292292291291291291292293293291291292292290292292293293294293292292294291293292292292292290290290290289289291290290290290289290289289288288287288289289291291289291292292291289289290291291290 292293294293293294295295297296295298298297296296296297296296297297296295296295294294293294294293292293293293292291289288290293290289290288290291289289999999999999999999999999999999999999999999999999999296295298298297298297297298297295295295294292293293292290290289289287287288289289290288289288290289288289288287286286287286286286286286287288288288289291290291291291291290289290291290292290289289289287287288290286290284287286288288289288289288289288289288287287286287288289289289287291290290291290290290288288290290290290290295294294295295292292293294294294293295999999999999292293293295293293293292292293292292294293290291293294294294295296296295294294293293291293293293293291291294999999999999298296999999298299299299296999999999999300297296297297296296298298298294999296297297296299301299298298298299298297298298298298297299300298297297300300300301300301300301301300300301301302301301302304303302302302299301303302302302300301300297299301300297298295297297298299299299298298299299299298299298298299299299301300299299299299299299298298298298299299300299299300300300300300301300300300300299298299300300299298300299300300300300298301300300301300300301301302301302301302303303303303306303301302302302302302300300300299301298301302302303305304303302304304305305306306306305304304304303302302303305304304304304304304304304305303304303302303303302304302303303303303303304304304303303303303303303302303304304303304304303304304304303304304304305304304304304305305305306306306306306306307307307307307306306306306306306306306307306306306306306306307307306307307307307307307306307307307306307306306306306307306305306305305306305305305305305305305305305305304304304304304304304304304304304304303303303303304303302303303302302301301302302302302302302302302302302301301301301301300301301302301301302301301301300301300302301301302302301302301301301301302302301301302302302301301300300300300300300299298298298298297298299298299299299299299298298298298296297297297298299298298298297296296295295296297296296297297297297297297298297295297297297297297295297297297297297295295295295295294294294294295296295296296297296296296296296296296296295295295294293292293294294294294295293292294295295296294294294294293295294294293295294293292292292292292292294292291291291292291291292292294294294293293294293292291291291291291291291291290290289290290292292292291291289289289288288288289290291291291291293292292289290290292291291 292292294295294295298297297296297295295296296297296296296297296296295295295295294293292293292293293293293292293293290289291290291290290292291293294289289999999999999999999999999999999999999999999999294294298297297297296296296296296295295294293290292291291290290290290288288289290289289288288290289290288287286287286286287286287286285286286287287288290291291290291291291290289291291293291290289288289286288288286290289286288289286292288287291289290288289288287287288286288288289288289287290291291291291289288290290290292292290295295294295295292292293294294295294999290291292293292292293294294292293292292293293293293292294291293292294294295295295295294294294292292292290290290999999999999999999999294294999999296297296295999999999999999298297297296296296295295294298295297295294296999299299300298299298298297299296299296297299296299297298297300299301300301301302303301300300301301301300302302303302302302303302302302302301302301301300300301301299298297297297298299299299298298298298299299300299300299299300301300300300300299300300299299299299299299299299300299300300300300300300300300301301300299300298297299298296299296300297295297299300298303300300301302301302302301303302303303305304302302302304304303302301303303301301302305306302301301302303302303303303305305306308305303304305304302303302302303303303303303303303303303304304304303304304303303302303302303303303304304304303303303303303303303304303304303303304305304303304304304304304304304304304305305305305306306306306306306306307307306306306306306306306306306307306306306306306306306306307306306307306306306306306306306306306306306305306306306306305305305305305305305305305305305304305305305304304304304304304304304304304304304303303303303303303302303303302302302302302302302302303303303303302302302302302302301301301301302301301302302302301300301300301301301301301300301301301301301301302301301302301301301301300300300300300299299299298298299297299299298300300299299299299298298297298297298298298298298298298297297296296296296296296296296297297296297297297297297297297297297297297297297297297296295295296296295295295295295296296296297297296297296296296296296297297296295294294294294294293293295295295295295295296296296296295295294294295294295294295295293293294292292293293293292293292292291291291292294294295293295294293294294293293292292292292292292291291291291291292292292291291290289290289288289290291291293293293292293292292291291291290291 291292295296296295296296295296296295295295296297296296296296295295294295295295295294293293292293293293292292293292291291289290290290288288289291295289999999999999999999999999999999999999999999999999294296297296296295294295295294294295293293290292292292291292291292290290290290290288289288288288288288288287286287286287287287287286284285285286286287290290290290291291290290289290289291291291291289288290287288289292285286289290288290293288289289288288287288288288288288290289289288288289291293291290291291290290291291292292291293294293293293294293294294294296999292291292293292293294294293294293292292292292293291293293291292292292294294294293294294294294294293293292292289999999999999999999999296295295999999297296999999999999999999999296297297296295294295294294294293297298301302999299298297298298298297298296297298296298298298297299297299300300301303303303302303302301301302304303301302302302302302302302302302303303301302300300301300299299299299296297296299299299297298299298299299300300300300300300301301300301300298300299300300300300299299299299300300300299300300301300301300300300301300300300298297299298300299298299297300299299301301298300302302302302301301302301302303302304305302303303302304304304302304301302300301301303302302301302302302303304305306307308306304302304304304304303303304303303303303303303303303303303302303302302302301301302303302303302302303304304303303303303303303304304303304304304304303304303304304304303304304303304304305305305305305306306306306306305306306307307306307306306307306307307306306306306305305305306306306306306306306306306306305305305305306305305305305305305305305305305305305305305305305305305305305305305304304304304304304303303304304304304303303303303302302302302302302302302302303303302303303302302302302302301301302301301302302302301300301301301301301301301301301301301301300302301301301301302302301301302301301301301301300300300299299299299298299299299298299299300300300299299299298298298298298299298298299299298298297297297297297296297297296297298298298298297297298297296298298297297297297297297297296296297298296297295296296295295297296296296297297296295296296296297296296295295295296296297296294294295296296295296296295296294294293295295295295295295295293294292292291291292292293292292293293292291292292294292295294295294294294294294293293293292292291292291292292291292292293292292291291291291290289288289290293294294293292292292292291290290290291 290292295297294297295295295295294294295295297297296297295295295296293293294294294293292292292292293291290290290291290290290288289289286289289287291999999999999999999999999999999999999999999999999295293296297297297297295295294294295293292291293292292292292292292291290290291290290289289287288288289288288285285285285285286286287286285285286285286289288290290289289289289286288289287288288289289290292290288289285288285285283288290292294286287289288288288288288289289290291290290291290291290292291290290290289290290291290291291293294293294292293293293293294999999291291292292293292292293294294293294292293293293293294294292291292293293293293293293295294294294294296293292291999999999999999999999294294999999298296296999999999999999999999999295296296294295294292292999999301295303300301299298298298297297296297297298300298297299299299299299299301301302303303303302303303302302302302303302303302302302302302302301302302302302302300302300300301300298298297297297298298298299299299299299301301301301301301301302302302301302301301301301301301300300300299299299300300300300300301301301300300301301301301300300299300301301300300301301300298299300300299300302304303302302301301302303302304303303303302303301303303303302301301297299300300303301301301301302303302304306307304307305304304305304306304305303304303303303302303302302302302303303303302301301301301303303302303302303303304304303304304304303303304304304305304304304303304305304304304304304304304304304305305305306305305305306306306305305306307307306306306306306306306306306306306305305305305306306306306306305306306306306305305304305306306305305305305305305305305305305305305304305305305305304304305304304304303304304304304303304304304304304303303303303302303302302303302302302303303303303303303302302302302301302302302302302302302302301301301302302301300300301300301300301301301301301301302302302301301302301301301300301300300300300299299299299297299299299299299299299299299299299298298299298298299299298298299298297297297297297297296297297297298298298297298297296297298297296298298297297297297297297297298298297296296296295295295296296296296296296297296295296296295296296295295294295296296296296296294294293295296294295295296294295294296295294294293295294295295292292292291292292292293292293294293293293294293294294296296295293295295294294293293292293293291291292292293294291291291291291291291291290290290289290292293293293292292292291290290290291291 290293295297295295296296296295295294294295295295297297296296295294294293293293294294293291291292291291290290292292291289290290290288287289290289290999999999999999999999999999999999999999999999999999295296297297297295294294292292292293294294292292291291292292291291290289291290289289288286287290290286290287289286288286287287287286285286285286286287287290289289289289289290289288287286287286291293292285287285283288285281282283284292289288289289288287287288287288289289288290290290288293292289289290290290290289290291290290291291292294294293293294293293999999999290291291291292292292293293292293293292292292293294293292291292293293292292293293293295294294294294294294294291999999999999999999999293294999999298295295999999999999999999295296295294296294296297300295999999300297298999303301297298298297296296295297300298298297298296299300300299300302302304304304302302302304302302302303301303303303302302302303301302302301301302300300298300300299299300298298297298298299299298299299300300301300300301301302302302301302301301302302302301301300300300300300300300301301301301301302301300300302301301300301300300300301299300302301301301300299300299299299301305303304303300302301301304304302302302303303303304303303303302301299302301301300300301303302302303303303305305306306304305304305304304305304305305305302302301301302300302302302303301301301301301301302302302301303303303304304304303304305304303304303304304304304304304304304304305305305304304304304305304305305305306306306306306306306306306307307306307306306306306306306306306305305304304305305306306306306306306306305305305305305305305305305305305305305305305305305305305305305305305305305305305304305304304304303304304304303303304303304304303303303303303303302303302302302303302302302302302303302302302302301302302302302302302302302301301301301300300300301301300300300301301301301301301301301301300301301301301301301300300300300300299299299299299299298299299299299299299299299299299299299299298298299298299298297297297297297297297297297297297297298296297297297298298296297298298298297297298297298298297298298297297296296295295297296296296296296296296294295295295296295295294294294295295295296296296296296295295292293295294295294294293294294293292295295294291294292291291291292292292292292292292292292293292293295294296294293291293292292292291291291293292292292292292293292291290291291291291291291292291290291291293293292292292292292290289289290292292 294294298298297296296296296296296295294295295294296297295296294295293292292293294293291292292292292292292292292291291292290289290290290289289290999999999999999999999999999999999999999999999298999295298297298298297296295295294293295296293294292292292292292292291290289288290290290288287288290291291287290287288289288287288288287287286287286286286287289291290289290288290293290290287288290291293290290286284283285283284281281284288287290288291288288287287287287287288287287289290290289290289289290289289290290289290289291290291291293293293292293293293999999999999290291291291292292293293293293293292292292293294292292293292292292293292292293293294294294294294294296298296294294999999999999999999295295999297297295298296296294293292293293294293296296293294299301290999999999298295302302299297297296297296296297299301299299297293298299301301303303300302304303304304302301301301301300302302302302302300300301301302302302302301299300300298299299299301300297298298298299299299299299299300300300300300300300301301301301301301300300302301301301300301301301300300302301301301301302301301300301299301300300299299299300299298301302302300301300298299300296999300302300302302302303303303302302302304301303305304304304302302300297300302301301301301301302302302302303304304304303303303303304304304304305305304304304302301301301301300301301302302301301300301300300302302302301302302301302302302303304303303303304304304304304304303304304304305305305304305304304305304304305305305305306306306306306306306306306306306306306305305305305305305305305305304306304306305305305305305305305306304305305305305305304304304305305305305305305305305305305305305305304305304304304304304304304304304304304303303304304304304303303303303303302302302302302303303303301302302303303302301302302302302302302302302302302301301301301300300300300301301300299300300300300301301301301301301301301301301301300300300300300300300299298298300299298298299298298298299299298299299299299299299299298298297298298297297297297298298298298297297297297298297297297296298297297297297297297297297297297297298297297296296295296295296296296296296295296295295294294294294295294294294293292293294295294294295295294294292295295294294294294293293293294293294294294294294291291292292291292293293292292293292293293293294296295296294293293292293293293292292292291290291292292291292292292292292291290292292292293291292292293291292292292292291291292293292292290290292292 296295299298299299296296296296296295295294295295295296296294293293292291292292292291292291291291292292292292291291288290289290291289289291288292999999999999999999999999999999999999999999295294296296300299298298295298295295296294294293294293293292292291291291291291289290292292291290288289289291291290289290288288287286287287288288287288288288288287289292290292291293294295289289288290291290292284284284285285284286288289286288288286290287288289288288287287287288288288289289290289288288289287287289290289290291290290290288290292294294292292291290999999999999288290290291291292293293293292291292293293294293292291292292292292291292293292292292292293292292293294294295295296294293999999999999999999291999296297297298296293292292293293293293294294296296296295295294293297999999999301298300296298294296296299295293298295296296295296298302303302301301301303303303302303300301301299300300301301301301301300300300301301302301301301299299298298298299299298298298298298298298299299299300300300300300300300301301301301301300301301301301301301300300301301301301300301301301301302302302302302302301301301300300300300300299300301301300300301301300300299298299296300301302302303302302300299302303304303302304303303304303303300297300301300303302301301302303303302302303302302303303305303304303302305303303304304302301301301300300299300301301302300301300301300300302302302302301302302301302303301302303303303304303304304304304305304304304305305304304304304304305304304304305305305305306306306306306307306305305305305305305305305305304305305305305304305306305304303303305305305305305305305305305305304304304304305304304304304304304305304305303304304304304304304304304304304304304303303304304303304303303303303303303302302302302302302303303303302302303302301302301301300301301301301301301301301300300300300300299299299300300300299299299300300300300301301301300300300300300300300299300300300299299299298298299299298297298298298298298298299298298298298299298298298298298298298297297297297297297297298298298298298299299299299298299299298299299297298297297297298297298298297297298296296296297298298297297297296297296295296295295295296295295295294294295294296295295295294296295295297296298294293293293294293294294294294294294294293292292293292293294293294293293292293293293294295295295294293293293292293293293292292292292291291292291292292291291292291291292292291293293292293293293292292292292293294292292293293292291291292 294297299296296296297297296297297297296295295294295296295294292292292291292291291291292292292291291292291291291289289289289290291289290290289290999999999999999999999999999999999999999999294293295297300299297299299298297296295294292293292292293295292293293292291291290290292292290290290290289292291292289288290289288288287288288288288288289289288288288290290290290292291292290290289293289288284286286286286286284292290290290290291291289288288289288288288287288287290290289290289289289288289289288284289290292292290289289289291292294292291291290999999999999288289291291292292293295294293293292292293294295294292292293291292292291293293292292292293293292293294294294294296295295294294294999999999999999295296299298296296296296294293295295293294294296295298300299297297999999999999299302298295296296297293297295299301299297297297299299300302298300301300302301302302301299300301300301301300301300300301301300300301301300300301300299299299298297297297298298298298298298297298299299300299299299299300302301301301300300301301301301301302301300302300301301301301301302302302303303303303303302302301301300300300297299299300301301300299299300299298298299299298299299302300300302302302300302302302302302301301302301302300300300299301298301301301301301302302303302301302302302304304302304303302302301301303303301300300300300300299300300299301300299301300300301301302302302301301301301301301301302302303303303303303304304305304304304304305305304304303303304304304303304304305305305305305306305306305305305305305304304305305305305305304304305304304305304304303303304304304304304304304304303304304304303303305304304304304304304304304304303303303304304304303303304304304303304303303303303304303303303303303303302302302302302302302303303303302302303303303302302302301301301302301301301301301301300301300300300300300300300300300300299299300300301301301301301300300299301301301301300300300300300299299298299298299299298299298298298298299299299299299299298298298298298298298298298298297298298298298298298298298299299299299298299299299299299298297297298297297297298298298297297297297297297298299298297297296296297296296296295294295296296296296295295296296296295295295295295296297295297297294295294293293293293295294294294295293293293293293293293294294293294293293293293293294295295294293293293292292293292293291292291291292291292291290291291291292291292292292293293291293292292291293291292291293291291292292292292291292293 296299298297296296296296296297296297296295294295294295295294292291291292293292291291292292293293293293292290292290290288290291292292292290290291999999999999999999999999999999999292294296295297301299300303300297297295295294294293292292291292292293293293292292292292291290291292291291291291290290292288290289288289287285287288288287288288288290290290290289289289289289289292291291293290291290285284286286286287287291291292293291291293289291289289287287288287289288290289288288289289288288289290288289290291292291291289289288291292293289290291999999999999289289290291292292293294295294294294294293294293294294292292292292293294292292293293293293293293294293294295295294293293294293294293291999999999999296296295299296295295294295296296295294294294299298299299300298298999999999999999300999296303300294298297297293298300297297298298298299300300300301301300301302301300299299300300300301300302302303303302301300301301301300300300299300300299299299298298299297298299298298299299300300299299300300300302302302302301301302302302302302302301301301301301302302302303303302302303304304303303303302302301301301300300300301301302302302302300299299300299298299299300300301300301304304303301300300301301301301300301302301300300300301300301303301302302302302302302302303303302302304304304304303304302301303301300300300300299300300300300299300300300300299300300300301301303302300302301302302301302302302303303303304304304305305304304304304305306305304304304304303304304305305305305305306306306306306305305305306305305305305305305305305305305305304304304304304304303305304304304303303303303303303303303303304305305304304304304305305304303304304304304304304304304304304304304304304304303304305304303304303302303303303302302302303303303303303303302302303302302302301301301301301301301301301301300300301301300300300300299300299300300299299300300300301301301301300300300301302302301300300300300299300299299299298298298298299298298298298298298298299299299298299299299298298298298298298297298298298298298298298298299298299298298299299299299299299298297296297297297298298298298297297298298299298298298298297297297297298297296295295296296296296296296295297296296296296295295295295296294296295295294294293294293293294294294293293294294293293294293293293293293294294294294293294293293293293293293292293293292292293292292291292291290291292290289291291291291291292292292292291291291292292292292292291291290290291292292293293293293 297298296296296294296294296298297296296295294294295295294294293292291292292291290291293293293293293293293289290290290290289290290292291291289288999999999999999999999999290290292292294297296299301299302300298297297295294294293292292292293292292291291290291292291292292291291292291292290290289291289288288287286286287288287287285288286285290290290290290288288289289288287291291291292292286284285285285289286293292288290287288290293291289288288287286289288289288288289288289289289289289288288289288287288287290291292290289291290292293288999999999999286287288290290290291291293293294294294294294294295294293293293292291291291292291292293293293293293294295294295294293293293292293293294292290999999999294294295999999296295295295295296295296297298999298297297299300299297999999999999999999999300304304297302303295301297298295297299298299299299302300301297298300302302302300301300300300301302302303304302301301299299298302299300300301301300301301301298296300301299300299299299299300300300300300300301302301302302302301301302302301301302302302301301301301302302303303304304304304303303303303303302301301301300301301301301300302302301300299301299299298300300300301300302302301304303300300300301300300300299300299301301302303305302301301301301301302302303302303303303303301304303302302304303300301302301299300299299300299300300300300300301300300300300300300300302303301302302302302302303303304303303303303303303304305304304304304304305304304304304304303304304304304305305305305306306305305307305306306306306306306305306305305305305305305304304304304304304304304304304304304304304304303303303304304305304304304304304305304305304304304304305304304304304304304304304304304304303303303304304304304304304303303303303303303303303303303303302302302302302301301301301301301301301301301299301301301301300300300300300300300300300300299300300300301301301301301301300300301301301301301300300300300299299298298298298298298298298298298298298298299298298298298298299299299298298298298298298298298299299298299299298298298298299298298298298298297297297297296296296297298298298297298298299299299299298299299297297297298298297297296295296296296296296295296296296296297296296296295296296296295294295295295294293293293294293294294294294293294294294294294293294293293294294293293294293293293292293292293293293293293291292292292291291291292291291290291291291291291291291292291291292291291292292292292290290289290290291292293293292292 298297296295294294295294295295296296296295295294296294294293293292292292291290292293293293293293293292292290288290289288289289289289289289290288999999999999999999999292291291291292292296298300302302300296296296295294293293292292291291291291291292292291291291291291292292291291290291290290290290289288289288288288288288290289289290286289286288289290290290290288289288290291292292287287293294287287287289293294294290288286290290290291290291291290288289289288288288290291290289288290289290290288289289290290291292290290290291290291290999999999999286287289289290290290291290292292293293293294295295294295294294293293292292292291291291292293293293294294294294294294293292292292292292293292290290292291294294294295295297294296295294295296296297298300296295297300299298298999999999999999999999300301305304296294300295298296294298295298299300299301300298297299300301300300302301300301301301302301302303301302299299298298298300300299300300301301301301299298302300299300300300300300300300300300300301301302302301302302302302301301302300301302303301304302302302302303304304304303304304304303303302302302301301301303302300302302301301301301300299299298298299300300302300302303299303305302300300302301300300300300300300300301300304300301301302302302302302305303303303303303302301304304303303301302301301299300299298299298299300300299299300300299299300300300300300301301300302302302302301302303303303303302303302303303304304304304304304304304304303304304304304305304305305304304305304304304306306305306306306306306306305305305305304305304305304304304304303304303304304304304304305304303303303303303304304304304303303303303303303303304305304303304303303303304304304304303303303303303303304304304304304304303303303303303303303302302302302303303302302301301301300301301301301301301301299300300301301301301300300300300300300300300300300300300300301301301301301300300301301301301301300300300300299299299298298299298298298298299298298298298298298298298299299299299299299299298298299298298299299299299299298299298297297299299298297296298297297297296297296296297297298297297298298299299299298298299298298297299299298298297296296296296296298297298298296296296297296296296297296297296296295294295293293294295294293295294294294294293294295295295294294294293293293293293292294294293293293292292292292292293292292292292293292292292292291290291290290291291291290291291291291291290289290292291290290290289289290290292292292293292 298299298296294294293294295295295295296297296296296295295295295292291291291291291294292292292292293292292290289290290289290292291289289288287289999999999999999999291292290291292292292292295297299299298295296295295295295292292291291291291291292292292291291291291292292291291290291290290290290290290289289289288287288287289290290289288288289289288289291289292290290291290285292286287286287290287287294290290295297296290287291290289288291289290290288289288288289289289290290289289289289290292290290290288290291292291292290290290291999999999999285287289289290291292290291292287293293293293294294295295295294294294293293293292291293293293292292293293293293294294294293292293292292293294293293294295295294293295295295295297296295296295296297297297299999294293293999999999999999999999999999999999296302305298298293297297300299299297298300301299302301300300298300301300301302302301300300299301301301301300301299298298296298299298300299300300303301301300300303301299300301301300301300300299301301301301301301301299301301302300300301299300302302301302302302302302304304305304303303304303303301302302301301301301302302301303303302302301302304300299300299298298298298299301301299303302300302301302300300304306306304300300300300302302303301302303302302303303303302301302302302300300303301300302300301299298300298298298298299300299299299299299299300299300300300301301301301301302301301301302303302302302302302302302302302303303304304304304304304304304304303304304304305305304305305304304304306306305306306306305305305304305304305304304304304304304304304304302303304304305305305305305304304304304304304304304304304304304304304304304304304304304304303304304304303303303303303303303304304305304304304304304303304303304304303303302302303303303302302301302301301300300301301301301301299299301300301301301301300300300300300300300300300300300300301301301301301301300300301301301301300299299300299299299299299299299298298297298298298298298298298298298298298298299299299298298299299298298298298298299299297297298297298297298298297297297298298298297296296295297297297299297297298298298300299298298299298298299299299299298298296295296296298298298297295295295296296296296297295295297297294294294294294293294295295294294295295294294295295295294294295294294294294294293293292292293294293293293292292293293292293293292293293293292292292291291291291290290291290291291290290290292290290290290290291290291290288289290291291292291291 297298297296294294293294295295295296296296296293295296296295295292292291292293292288293293293294293292291290290290290290292293292288286288290293999999999999999292292292292292292292292292291296298297297295296298297295294292291291292292292292292292291292291291291292292291291290290289290290291290290289289288288288287288288289288288287288289291290289291290288293292286285286286287287286285288288288286289290290294294296289291289291290289287288288289289288288289288290290290289290290290289289291291290290291292292290290290289290999999999999286288289290291291292292291291292292292292293293294294294294294293293293292292293292292293293292291291292292292292292293293293293292291292293294293295296295295294295294293293295296296295295294296296296297298999999297297999999999999999999999999999999999295301301302298303298301300301300299302300300303300300300299299300300299299302303301301300303302302301301302301299299298298298298299299300299302301304301302301301300300300301301304301299300299300300300301301301301303303302302301300300300300301301301301301301303303304304304303303302304303303302301301300301301300302302301301302303301301301300299298298297297298298297298298298300301300299299302302299299305305304300299299300301300302301305303305304304303303302302301301301300301301301302302300301301299299299298298297299298299298298298299299299299300300299299300301300300300301300301301302301301302301302302302302303303303304304304304304304304304304304304304303304305305305305305304305306305306305305305305305304303304305304304304304304304304303304304305303303303303304304304304305303304303303303303303304303304304304304304304305304304304304304303303304304303303303303303303303304304304304304305304304304304303303303302303302303303302302302302302301301300300300300299301300300300299300300300300300301300300300300300300300299299300300300300301301301301300300300301300300301300299299299299299299298298298299298298297297298298298298297298298297298298299299299299299299298299298298298298299299299298297298297297297297298298298297298298298297296297296297297297297298298298298298299298299300299298298298299299299298297297297297297298298297296297296295295296295296296296295298296296295294294294292295295294294293294295294294295295295294295295294294294294293294293293293293293292293293293293293292294293293293293293292292291292291292290290289290290290291291291291290292291290291291291291291291291290290290290290290292291 296300298296296294293292293294295295295295295295295295296295294293294293293294293293293295292293293292292291291291290293293292291288289291297293291999999999999291292292293293292293292292292294295294292293297297296294294293292292292293293292292292293291292291292291292291291291290289290290291290289289289289289288289289288288289288287287287288290290289290286289288287288287289288288287288286287288286289291290289291287289290289287289289289288288288289288289289290291290289290291289290290290290291291291290291291291290291289999999999999286287289290290291292291292292293292292293293293293292294293294292292292293292292293292292292292292291291292292291291292292293294293292292292292293293296295295294295295294293293294295296295296295295294295294297999999999999999999999999999999999999999999296295295299302299300298302302301301300305303300302301300300300299300300299299302302301302300300302303303302302299299299298298298298298299298299299302302300300298301298300300301301301300300301301300300301301300300299303303301300301301301301300301300300301301302303302303303303303302302303303302302301300300300299300301301303302303303304300301298297296297297297297297298299297298298301300300301301300298298305307304302301301300301301301302301302301302303303302301300300301301301299300300300301300299299299299299298298298299297298298298298298298299299300300299299299301301300300300300300300301301301301302302303303303303303303303304304304304304304304305305304304305305305305304304304305305305305305305305305305304304304304304303303304304304304304304304304303304303303303303302302302303304304303303303303304303303303304303304304304304304305304304304303304304303303303303303303303304304304304304304304304304304304303303303303303302302303303302300302302302301300300300300300301300300300300299300300300300300300300300300300300300299299300300300300300301301300300300300300300300300300299299299299299299298298299299298298298297298298298297297298298297297298298298299299299299299298298298298299299299299299297297297297297297298298298297298297297296297297296298299298298298297298298298298298298299298298298298298299299299298297297297297297297297297298296296296294295296296295296298296296296295295295295294294295295295294295295296295295296295295295294294295294294294293293294294294292293293293293294294293293293294295293292291291291291291291291290290290290291290290290289289289290290290291290291291291291290290290290291291292 297298299297294296293292293292294294295296297296294296295295296294294294293293294294294292294294292292291290292294295295294293293290288291293295999999999290292293293292292292292292292293293293294291291293295294295294293292292292292292292291291291291292292292292291292292291292291290290291292291290289289288290288288287287286286287288288287287286290289290288288290289289288290290288286285286286287289291291290291291290291289289290290289288288289288288288287284290289289289290289290290290291291290291292292291292290289290999999284287287287288289290290291291291291293292292292292292293292292293293292292292293292293292292293292291291291291291292292291292292292292293293292292292292293294296295294293292292999293292297295297295296296294293295296295999999999999999999999999999999999999999299298297297299301301302299301301301301299304305301298303301300298300301300300300300301301300299299301302302301299299300300299298297298298298299300297299300299300300298299299302300299300300300300300301300301301299300300302303303302301301301302301300302301301301302303302302302303302302302302301300301301300300300301301301301300303303303304304301300297299299298299298298298298297298300299297299302300301299298301307302304300301303302300302303302302302301301301301301300300300300300299300300300299300297299299299299298298299298298299298298299299298298299299299299299300300301300300300300300299301301302302302302302303303303303303303303304304304305305305304305304305304304305304304304305305305306305306305305305305305304304304304303303304303304304304302304303303303303303302302301302303303303303303303303304303303304304304304304304304304305304303304304304304303303303303303303303303304304304304304304304304304304304304303303303303303302302302302302302302301301300300300300300300300300300300299299299300300300300300300300300300300299300300300300300300300300300300300300300300300300300300299299299299299299299299298298298298298299299298298297298298298298298298298298298297299298298298298299299299299299299297297298297297297298299299299298298298298297297297298299298299299297298299298298298298298298298297298298299298299299298297298297296297296296298296297296295296296296295295295295295295296296296295295295293296295295295295296296295295295295295295295294294293293293293293294294295294293293293293293293293293293293294293291291291292291291291290290290290291290289288288288289288289289289289290291290291291290290290290291290 296297294294293293293292291292293293294295295296297296297296295294293293292294293294293290292292292291293290296295293294292293292293292292291290291293290291294294293292292290291292292292293293293292293294295295295294293293292292291291291291292291293292292292293292291292292292292292291292291291290290289288288288288287287286288288289289287288287288289290288288287288287290290288289289287285286289289288289290291292291291291290290288289289289289289288288289287287288287289289290290290290291290290291292292292291290289999999999286287287288288288289290290290290290291291291291292291291292292293293293292293293292292292292292293291291291291291292291291292292293293294293293293293293293295294294292294294999999999999295296297297296297294999295297294999999999999999999999999999999999999999295297298300299299298301297300297299301304302303301299300299300300301301300301299299299300298299299299301300303298297300298298298298298298297297299299300301298300301300302301301299300300301301300300300300301300300300299301302303301302298299301301301302303303304302301301301301301302302301301301299301302300300300302301300302301303301301299300300299298300300298298299298299297298298299300298297299296300299299300307305303304301302300299305303302302300301299300301301300299299300300299299298299299300299300299298300298298298299299299298300299298298299299299300300300299299300299299299300298301301301302302301302302302302302303303303303303304304304305305304304304304304304304304304306306305304305306305304306304304304304304305304304303304305304303304304303304303304303302303302302301302303302302303303303303304303304304304304304304305305304304304304304304304304304304304304304303303304304304304304305305304304304304304303303303303303303302302302302301302301301300300300299299299300299299299299299299300300300301300300300300300300300300300300300300300299299299299299300300300300300300300299299299299299299299299299298298297297298298298298297297297298298298298298298298297298298298298298299299299299299299298298298297297297297298300299298297297297297298297298299299299298299297299298299297298298297297297298298300299298298297297296298297297297296297297297296295295296295295296295295296296296296296295295295295296296296296296296296296296295296295295295295294294293294294294294293295294293293293293294294294294294293293293291291292291291292290290290290290290290290289288286288289289288288289290289290290290289290289290290289 999300291292292292291290291291291293293295294294296297297297294296295292293293292292293291291291291290289292293291292291289291291292291290290291291291292292292292291291291290291291293293294294293294294294294294294294293293293293292292291291292291292291292291292292292293293292291292291291292291290290289288288287288287288287289289288288288287288288289290286289288289290290291289289286290290290288288289289290290291291291289290290289290289289288289288287287287288287288289289290289290291291291291291292292292290290289999287288288288289289289289289289290290291291291291291292291292292293293293294293293293293292292292292292292291291291291291291292292291292293293293293294293293294294295295293999999999999999999999999297297297297296999999999999999999999999999999999999999999999999999999999999999297299298296296299302302296300302303303302302299299299299300300300299299301297297298302301301301298298298298298298298299298297297297297298299301301299301300300302300300300301299300300299300300302300300301300300300301301302301297300300299301304303302300301301302301301301301300300301300300299299300300301301301301301301301301300300299299299299299300298298299298298298299298300298297297297296302299299301306303304305303300301302302304302301300301299300300300301300299299299300300298297297299298298299299299297299299299299299299299299299299299300299299299299299300300299300300300300300300301301301301302302302302303303303303303303303302303303303303303303303303304305304303304303304304304304305305305305304305305304304304304304304305305303304304303303303303303302302303302302302302302302303303303303303303303304304303304304304305304304304304304303304304304303303303304304304304304304304304304305304303303304303303303303302302302301301301301301301301301300300299299299299299298299298298299298299300300301301300300300300300300300300300300300300299299299299299299299300299300299299299299299299299299299299299298298297298298298298298297297297298298298298296297297298299299298298298298299299299299299299298297296297297297298298299298297297297297298298299299299299298298298298299298298298298298298298298299299297298299299297297297297297297297297297297296296296297296296296296296296298297297296296296296297297296296296297297296297296295296296297295296295295294294294294294294295294294293293293293293293294293292292293291291291291290290290291291290291291290289289289288288288289290289290291289289290290291289290289290290 999999292293291292292289290291292292294295295295298296297297295294294293291291292293293291291291290290293290293291291292291292293292292291293293294294293291291291292292291290291291292293293293293293293292292294293293293293292292292292292292291290291290291292292292292293293292291290292291292293291289289289290291290290288289290290290289289289290289291290288289290288288289289292290286291287288288290289290290290292290291292291289290289289289289289289288288288289288289289289289290290291292292292290292292292291290289288287288289289288289289289289291291291292291291291291292292292292293293294294294293293293292292292291291292292290291289290291291292291291292293293294294293293295294294295294999999999999999999999999296297296296298999999999999999999999999999999999999999999999999999999999999299298298298298296293300297303303303301302300299299300298298299298298299300299298298298299301301301299299298297297298297298298298297297299298301300302301300302300301299299300300299301301300300300301301299299300301301299300301301300301300299300303304301299300300300301301300300300301300299299300301299301300300301300300299300301300300300299301300299299297298297298298299299300297297297295299297301302302304303302303306300304301303303302302301301300299301300299300300299299299298299298298298298298298298298299298299299300300299299299299300299299299299299299299299300300299299300300300300301301301301301301302302302302302302302303303303302302302302302302302303303303304305303303304304304304305305305305305305306306305305305305305304304304303303302303303303303303303302302302302302302302302302303303303303303303304304304303303304304304304304304304304304304304304304303304304304305305304304304304304304303303303303303302302302302302301301301301301300300300300300299299299299299298298298298298298299299300300300300300300300300300300300300300300299299299299299299299300300299299299299299299299300299300299299299298297297298298298298298298298299298298298297297297298298298299298298299299299299299299299299298299297297297297298298298299298295296298298298299298299297298298298299298299298298297298298299298299298298299299299298298298298297298299297297297295295296297296296295296296297297298297297297296296296297297296297297296296297297296296296296296296296295295294294294294295294295293293293293293293293293292292292292291291291291290291291291291291290290291290289289289289288290290289290290289290290290291290290289289289 999999999292293293292292292292293295295295295296297297297295293294293293292291291292293292291292290293292290290290291292293294294293292292293294295293293291292291292292292292293293293293294293293293293293293293293293293293293293292293292293292291291290291292292292291292291291291290292292292291291289289289291290291290289289290290291289291289291290290290289289287288287287289291288288288288289289290288291291291291291289291290290289290289289289289289289288289289289290290289290291290291292292291292292291292292290288999288289289290288288288290290291292291291291291291291292292291291294294294295294294293293292292292291291291292292292290291292292292292291292293293294294294294294294294293292999999999999999999999999296296296295999999999999999999999999999999999999999999999999999999999999999296296296296297296297300300299297297298298299298298299298298298298297297298297297299298298298298298298298297297296296298296296296296298298300299301300300299299300300300298300300300300303300300300300302300301300302300297298298299300299298299300301299300299299299301300300300300299300299299299299299299300301301301300300299300300299300299300300299299300297298297296298299299300300299297297298298299303301301295298299300300299299302303301301301301301300300301301300300299299299299298298297297297297297298299299297298298299300300300299300300300300299299299298298299299299299300300300300300301301301301301301301301302302302302302303302302302302302301302302302302303303305304303303304304305305305305305305305306306305306305304305304304304303303303303303304304303302303302302302302302302302303302304304303303303303304304304304304304304303304304304304303304304304304304304304304304304304304304304304304304304303303303303302302302301301301301301301301300299300300300299299299298298298298298299298299298299299300300300300300300299300300300300300300300299299299300299299300299299298298299299299299299300300300299298298297297297297298297298299298298298298298298298298297298298298298298299299299299299299297298298299299298297297298298298298297297297298299299298297298298297298298299298298299298298298299298297297297297298298298299299298298298299298298298297296296296297296295295296296297297297297297296296296296295296295296296297296297296296296296296296296295296295295294295295294295294295295293293293293293292293292291291292291291290291290291291291291290290290288289290289289289289290290292290289290290290290290290289288288 999999999292293294293292293294294294297298295296297296295294292294293292292292291292292292292292292291292291291291291294293291292293293294294295295295296295294294293292293293294294294294293293293292292292293293293293293293293292292291292291291291291291291292292291291292292293292291292292291290290291289289291291291291290291292291290289289290290291290289290289289288288288286289288287286286291291290291290291291291292292291292291291289290289290290290289289290290290289289289290291291291291291292292292292291291290289289290289289288287288288289289290291291291291291290291290291292291292293294295294293293293292292291292290291293294293292292292292292292293293293293295295294293292294295294999999999999999999999999999295295999999999999999999999999999999999999999999999999999999999999999999999999298297297298296297299298298300297299297297297297296298298298297297298297297298298297297297297298297297296297296297296296295296296297298300299300300300300300300299300299299299299300300299299301300301300299300299299299299297294297298301300300299299299300300299299301301300301300299299298298298298299300300300300300300299299299299299300301300300299299298298297299300300301301300299299299298297296299299301299298299300300299300301301299300301300301300302302301299298299299299298298298298298296298299299298299296298299299300300301300300299300299300300299299299299300301301301300300299299300299301301301302301301302301302302302303302302302302301301302302302302303303303304304304304304305305304304305305305305306306305305304304304303303303303303303304304303303303302303303302303302301302303302304303303303303304304304303303304304303304304304303303304303304304304304304304304304304304304304303303303303303303303303303303302302302302301301301301301300300300300300299299299298298298298298298298298298299299299300300300300300300300300299299299299299299298298299299299298299298297298298299299299299298299299299298298297297297298297298299299299298298298298298298297297298298298298298297298298298299298299299299299299298298298298298298297297297297298298299299299298298297297297298297297298298298298299298297297297298298299298298298298298298298298298297297297296296296296296296297296297297298297297296296296296296296296296297296296296297296296297297296296296296295295294295296294295295295294294293293293293293292292293292292292292292292292292291292292291291291290290290291290290292291291291292290290290290290291290290290290 999999999293294293293293292293294297296297297298296296294294294294293292292293293292293293293294293292293292292291292291293293294294294295295296296296297297297297295294294293294294294293293293293292292292293293293293293293294292292293293291292291292292292292292292291292293293293293293293292291291291290290291292291290290291291292292290288289289291290289289289289288289288287286287286287287287289288292291291291290290289290290292290291289290290289290290290290289289290290290290291289291290291292291292293293292292290290290290290289288289289289288289290291291290291291291291291291292292293293293293294293292291292291291291292293294292292292292293292292293293293293294294294295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292297297299298298299299298296297298297297298297298297296295298298297299299297295296294296295297297297297298297297296295295295296296297298298299299299297299299300300300299299299301299299299300299300299301300300298298299298298298298301301302302302300299300300298302301300301300298298299298297297298299298299300299299299300298299298301301301300299299298298299300302300302301301302300300301297297298300300299297301302300299299299301301300300301300301302301300299298298298298299298299299298298298298299298299298298299299300300301300300299299299300299300300300300300301300301300300300299299299300300301301301301302302302302302302302302302302302301302302302302302303303303303303303304304305305305304305305305305304305304304304304304304303303303304303304303303303303302302302303303303302303303304303302303302303304304303304304304304304304304304303304304304304304303304304304304304304304304303303303303303303303303303303302301302301301301301301302301300300300299299300299299298298298298299299298298298298299300300300300299299299300299299298298299299298298298298299298298298298298299299299299299298298298298297297297298298296298299298298298299298298298298299297297298298298298297298298297298298298299298299298298298298297297298297298298297297298297298297298297298297297297297297297297298296298297298297297298298297299299299298297297298298298297299298297296296296296296297297296296297297297296296296296297296296295296296296296297296296297297296296296297296295295295295295295294295295295295293293293292293292292292293293293293292293292292293293293292292291292291291291291291291290291291290290290291290290291290290289290 999999999293295294294292293292293294294297297295297296295296295294294293294294293293293293294294293294293292292292292292293293294294294294296296296296297298297296295295295295295294294294294293293293293292292293293293293293294294295294293292291291292292293293292293292292293293293293291292293292292292291291292292291290290292292290292290289288289288289289289288288287286288287287286287288288288289289289290291290290290291289290290289289289290290290290290289289289289290290290291291290290290291292293293293294295999291290290291290290290289289289289289289291290291292292291291291291292292293293294293293293292292293293293292292293293293293293293293292291293294292292293999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297297299300301300301299298298298296296296295297298295296294298298297299297295297296293295294297296296298298298297295296295295296296297297297299299299299298299299300299300300299299299299298299299300299300301302300300299300300300299302303303304303300300299300299299299297298297298300301299298298299299298298299299299300300300300298299300300300300300298299299302305301302300301301302301298298297297298299299302300298299298298299299299299299301299297299299299299300297296298299298298299299299299299299299299299299299299299300300300299300300300300300300300300300300300300298299299299299299299299300300301301301301301302302302302302302302302301301301301302301302302302302302303303303303304304304304304305305305305305305305304304304304303303303304302303303303303303303303302302303303303303303302303303303303303304303303304304304304304304303303304304303304304304303304304304304304304304304303303303303304303303303303302302301301301301302302302302301301300300299299299299299298298298298298298298298298299299299300300299299299299299299299298298298298298298298298298299298298298298298299298298298297297297297297296297297298297298298298298299298298298298298299298298298298298298297297298298299298298298298299299298298298298298298298298297297297298298298297298297297297297297297298297297297296296297297297298298297297298298298298297297297297298297298298297296296296296296297297297298297297297297297296297296296295295296295295296296296296296297296296296297297296295295296295295295295294294294294293292292292293293293293293293293293294294294293293293293294293293293292291292292292292292292291290291291290291292291290290290 999999999295296295294292292293293295294298296295296296296295295294294295294292293293293293293295294295294292292292292292293292292293294294295296296295297297297297296295296296296297296296295295294293293293293293294293294294294293294294293292291292293292292292293294293293294293293292293294294294294293292292292293291291292292292291291291290288289289288288288289289288288287287288288287288289289289290292290290290291290291290290290290290290290290290290289289290290291290290292290291292291291291292293293293294294292292292291291291290290290290290290289289290291292292291290292291291292292292293293293293293293292293293293292293293294295295294293293292291293294293292291999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298297300300302303302300300299298298296296296295298297296296295297297297297297297296295295295295297298297297296297295296297295297296297298297298300298299299299299298299300300300300299299298299300295299300300301300300301302300300299300301298302303300300300298298299298297296299299299300299299298299299298299299298298300300301301299298299300298298300299297298300301302302302300303301301301300298297299299299300299299299299298297299300297299299299299299298299299300298297298298298298298298298298300300298298299300299301299301301301300300300300300300300300299300300300301300300299299299299299299298300301300301302301302302302302302301301302301301302301301301302302302302302303303303303304303304304304305305304304304304304304304304305304304304304302302303303303303302303302302302303303303303303303303303303303303304303304305305304304304304304304304304304304304303304304304303304304303303303303303303304304302302302302302302301302301301302302302301301301300300300299299299299298298297298298298298298299299299299300299299299299299299299298298298297298298298297297298298298298297298298298298297297297297297297297297297297297297297298298298298298298299299298298298298298298298297298298298298298298298298298299298298298298298299297297297298297298298298298298298297297297297297298297297296297296296296297298298298298298298298298297297298298298298298298298297297297297297297297297297297297297297297297297297296295295296296296296296297297296297296297297297296296295295295294294295295294293294293292293293293293293293293293293294294294294294294294294294294294294294293294293295293292292292292291291291291291292291291291291 999999999999294294293292291293293296296296297296295297297296295294294295294294294294295294294294295294294292292292292293293293293293293294295295296296297298298298297296295297298297296296296295294294294293293293293294295295294293293294293293294294293292292292293293293293293293294293294294294295295294293292292292292292293291291291291290290290290289289289289289289289288288290289289290289290290290290291290290289291291290291289290290290290290290290290290291291291291291292292291291292293290292291293292293294293293294293293291291291291290290291290290290291291291292292291293292293292292293293293293292292292292292292293294294294295294295295294294293293294296294293999999999999999299299999999999999999999296296295999999999999999999999999999999999999999999999999999999999999999999999999999999999999297300299299301301300301300300300297297297296298297297297295297297298300298295293295293294294294295294295296296296298298297298297296297298298299298298298299299299299299299300299300297299299299299300300300300298299300299299301300299300303300301302302300301299299300297298299298298298298297297297297297297297296297298298299299300300300299299300299300297298299300303301302302301301302300298298299299298301299299298298299298298299299297298298298298300298296299300300299297299298300298297299299300299298300299301301301301300301300300300300300300300300300300299300300301300300299299300299299300299300300300300301300301300301301301301301302302302302301301301301302302302302304303303302303304304304304304304304305304304305304304304304304304304303303302302302302302302302302302302302303302302302303303303304303303303304304305304304304304304304304303303303303303303303303303303303303303303303303303303304304303302302302302302302302302302302302302302302301301300300299298299299298297297297297298298298299299300300299299299300299299299299299298298297298298298298297297297298298297298299298298298297297297297297297297297297297297297298298298298298298299298298298298298298299298298298298298298298299299299298299298299298298298298298297297298298298298298298298298298297297297297297297297297297297297298298298298298298298298298298298297298298298298298298298297297297297296297297297297297297298297297297297297296296296296296296296296296296296296296296296296296296296295295295294294294294293293293293292293293293293293293293293294294294294294294294294295295295294295295294294294293293292293292292292291292291291290291291291 999999999999294294294293292292295295295294298297297297296298295295296295296295296296294294294294294294293293293292293293293293291293294294294296296296296297298298298297296295295296296295295295294294294294294293293294294295294293293294294294293293292293294293293293294293293292293293295294294295295294292292293293292293292291290291291290290290290289289290290289290289289288289289291290290290289290290290289290290291290290290291289289290290290291290291291291291291290291291291292291293293291294293294291291292293292292292292293292291290290290291291290290291291292291291291292292292292292293294293293293292292292292292292293293293294294294295296295294295296296296294999999999999298298300999999297299999999298297296296298298999999999999999999999999999999999999999999999999999999999999999999999999999296298299299300298298300300300302301297298298297298299296295294296297300298295295294294294291294294295293294297296296298298297297296300297298298299299298298299299299299299298298298298298298298299300299296299297297299299298301299301301301298299301302301300299300299298299298297298297297297297297296297297295296297296297298299298299299299298300299300299300300301304301300303301301300300299299299299300300299299298299299299299298299300298298298299299299298300300300299298298299299299299300300300299299299300302302302302302301301300300300300300300300300300300300300301301300300300300300300300301301301300300300300301300301301301301301301302302301302302301300301301301303303303303302302303303303304304304304304304304304304304304304304304304303303303302302302303303302302302302302303303302303303303304303303303303303304304304304304304304303303303303303302303304303302302302303303303304304303303303303303303302302302302302302302302302302302302303302302301301300300299299300298298297297297298298298299299299300299299299299299299299299299298297297298298298298297296297298298297298298298298297296296296297298298298297296296296297298297297297297297298298298298298297298298298297297297297297298298299299299299299297297297298298298297296297297297298297297298298297297297297297297297296297297297298298298297297298298298298297297297297297297298298298298298297297297297296297297296296297296297295295296296296296296296296296296296296296296296296295296296295296296296295295295294294294294293292293293292293293293292293292292292293293293293293293293294295295295295293295295294294293293293293293292292292293291291292291292292 999999999999296295295293293293293296296296295296297296297295295295296296297297296296296294294294294295295294293293293293294294294294294295295296297297297297298298297297297296296295296295295294294294294294293293292294294293293292293294293294293293294294295294294294295294294294293294295294294295295295293293292292292292292292291290291290291291290290291291291291291291290290291290291290289289288289289289290290290289290290290291291290290290291291291291292292291292291291291291291292292291292293293290293291292294296294294294293293292291290290291291291290291291291292292291291292291292292292293293294293293292292292292293293293293293294294296295294293294295297296293999999999300301298298999999296999999999296297297297298296293999999999999999999999999999999999999999999999999999999999999999999999999999298299299299298298299299301301302299298297299300298298296296296296297296296297295294295294294293295295295296295295296297296296296297298299299299298299299299299299299298299298299299298296297299297297299298297296299301299300298301300301297299301301301299299299298297297297297298295297297296296296295295296296296295296297299297298299298298300298299300301301300302301301301302300298298300301300298300299298299299298297298297300298299301300300299297298297298299298297298298298298299300300300300300300300302301301301302301301301300300301300300300301301300300300300300300300300299299299300300300300300300300300301301300300301301300300301301301301301301301301301301302303303303303302303303303303304304304304303304304304304304304304304304303304303302303302302302303302301301302302303303302302303303303303303303303303304304303303304303303303303302302302302303303303302302302303303303303304304304303303302302302302303302302302302302301302302302303303302301300300300299299299299298298297297298298299298299299299299298299299299298298299299298298298298297297297297296297298298298298298297297297296296296297298298297296296296296297296296297297298297298298298298298298298297297297297297298298298298299299299299299299298297298298298297297298298298297297298298298298297297297296296296296296297298297298297297297298298299299298297297297297297297297298298297297297297297297297297296296296297296295295295296297296297296296295296296296296295295295296296296296295296296295295295294294294293293293293293294293294293293293293293293293294294294294294294295295295295294294295294295294294294294293293293292292292292292292293293293 999999999999999297295294296294295295296296295294295295296296296296296297296296296295296296295297295296294294294294295294295294295295296295296296297298297297298298299298297297296295295295297296296295295294293294293294293293294294293293294294293293294295296295294295295292294294295295295295294295295296293293293292293292292292291291291291291291291290290291291292293293293292291290292291288290289290290290290290289289290290291291291291291291291291291292292292292292292292291291291291291292292294294291295294294295294294295294294293293292291292291291291290291291292291292292291292292292292292292292294294293293293293293293293293293293294294294294294293294294297294292999999301299301297299298297296296295999296296297297296295293999999999999999999999999999999999999999999999999999999999999999999999999999298299298297298299299299299300300299297298300301298295298297298296296296296293293293294292293293295295295296296295296294296297297298298298298295297298299299298298298299299299298299299298297298299297296298297299299300300302299301299301301999301300300299297298298296296295294294295294296296295295295296296297296297297298299297298297299298299300300300299300300301302302302302300298297300301298298297298298298300299295298299299299298301300297297297297297298299297298298298299298298299300298299299300299301300302301301301300300300300300300300300300300300300300300300300300300300299300298297298299300300300300301300300300301301301300301301301301301301301302302301302303303303303303302303303304304303304303304304304304304304304304304304304303302302302302302303303302302302302302302303302301303303303302303303303303303303304303303303303303303303302302302303303302301301302302302303304304304303303303303301302302303303303303302302302302302303303302302301301300299299299299299298298298298298299299299299299299299299299299298298298298299299298297297297297297297296297298298298298297297298297296296297296296296295297297296296296297296297297298298298298298298298298298297297297297297297299298298299300299299299299299298298298298298298298298298298298297298297297297297297297297297296296297297298298298297297298298298298298297298297297297298298298297297297297297297297297296296296295297296296296296296296296296296296296296296296296296296295295295295295296295295295295295295295294294294293293293294294294294294294293294295294295294294294295295295294294295296296296295295295294294294294294294293292293294294293294293294 999999999999999298296294295297294294294294294294295295295295296295296296296296297298296296296297297295295295296295296294294295295295297296296296296297298297297298299298297297297295295295296296295295295294294293294295294294294293294294293294292293294294295295295295295296293294296296295294295296296295294293294294292293292292292292292292291292292292291291291293291291292292295292292295293293292290290291291290290290291291292291290291291291292292292292292292293293292292292292291292291292294294294295293295294293295294292292294293294293293294291291290289290291292292292293293293293293292292293293294293294293293293293293294294294294294293294294293293294295295293999999999999298299298299999295296296296296297298297296295294292298999999999999999999999999999999999999999999999999999999999999999999999999297299298297298300300299298298298298299297298300300299298294296293298296295296295295294291293295294293295295295296295296297297299297298298297297297297297298298299298299299300297298299297299296301297299298296297299300302302300300300304299297300299299298297298296294294297295293294295295295296294294295297298298298298298299298299300299299299300302300301302301300300301302300299298296299300299297297298298298300300298298299298297298299299298297298298296297297296298298298298298298298300299299299300302300302302301301301302301300300300300301300301300300300300300300300300300300299299298298299299301300300300300301301300300301301301301300301301301301302302303302302303302303302303302302303303304303304303304303303304304304304304304304304303303302302302302303303303303302302302302302302302302303302303303303303303303302303303303303303303303302302302302302302301301301301302302303303304304304304304303302302302302303304303303303303303302303303302302301301300300299299299298298298298298298299299299299299299299299299298299298298298298298297297297297296297297296296296297298298297298298298298297297296297297295297297297297297297297298297297297298298298297298298298297297297297297298298298299300299299299299299298298299298298298298298298298298298298298298297297297297297297297297297297297298298298297298298299298298298298297298297298298298298298298298298297298297297296296296297297297297297296296296296296296297296295295296296296296296296296296296295296296296295295295295295294294294294294294294294294294294294295295295295295295295295295295295295296296296296296295295294294295295294294294294294294294294293294294 999999999999999298297299296296295295295296295295295295295295296295295295296298297297297297297298297297296295295297295296295295296298299297300300298297300298297299299299298298297296295297296295295295295294295296295295294295294293294294294294293293294294293294295295295295295295296296294294296296296295296293293293293293293293293292293292292291291291291291291291293291290290288289293294292290290290290291290290290291291292292292291292292292292292292292292292293293292293293292292293293294295295295294294295295295293999999293294293294294294293292292291290290290293293293294294294294294294293294293294293292292293292296293294295295295294294293293294294293294292291999999999298298298298297296296296298298299300300299299298297298298999999999999999999999999999999999999999999999293999999999999999999999999297298298300296298299298298299298301301298301297299299299300297295297296298296296297294292293294295295295293295295294294298298298297297297296297296298298297298299299299299300300298299297300298299299299297298300300302298300301300303303301301300298298297297298296295297297295293294294295294295295294296298299298298299299298299299299299298300300300301301302301300301301302300301299298302299298299297299299298298299299298297298298299300300296297296297297297298298297298297299298298299300300300299301301302301302302302302302301300300301301300300300300300299300300300300299299299298299299300300299300299300300301301301300300301302302302301301301302301301302302303302302302302301302302302302303304303303303303303303304304304304304304304303304303302302303303303303303302302302302302302302302302302302303302303303303303303303302303303303303303303303303302302301301301301301302302303303303304304304303302302302302302303303303303303303303304303302302301301301300300299299299298297298298299299299299299299299299298298299299299298298298298298298298298298297296297296296297297298298297298298298298297297297297297297298297298298297297298298297297297298298298298298298298298298298298298298298299298298299299299299299299299298298298298299298298298298298298298297297297297298297297296296296297297298298297298298299298298298298297298297297297298298299298297297297297297297297296296296296296296297297296296296296296296296296296296296296296296296296296296296296295295295294295295294294294294294293294294294294294294294294294295295295295294294295296294296295295296296296296296295295295295295295294294293294295295294294294294 999999999999298297295293298298296294294296296296295295297296296296295295296296297296299299298297296295295295295296295297297298298298298299299299299300301302301298299299299300298298296298297297296293295295296296296295294296295294294295294295295295295296294294295296296295295294295295296295297295295295297295295295294293293294294293293292292292291291292292291292292292291290288288287291290292292291291292292291291292292293293292292292293293292292293293293293293293293293293293294294294295295295295294294295295295294999295297295294294294293293294293292291290291292293294294295294294294295294294294293292293294294294294293293294294294296295295294294295294292290999999999300299297296298298298297298298298299300301299300300299298999999999999999999999999999999999999999999999999293292999999999999999999296299298298299295295298297298297294297302298299297298299301299299297298298297297296296294293294295296297297295295295296294297296297297296297297297296297297298298299298296299299299300300298299298300300299300302301301300300299301302302302301300300299298298299301303304305298298296296295293293294296297297298299298298300299299299299299300300301302301301301301301301301301302301302299300300298300296300299300300301298299298300301301295299298298298297297298299298298300299299299299299299301299300300301302302301301303302302302301301301301301300300300300300300300300299299299299301299298300299300298300300300300301301301301301302302302302302303303303303302302303303303302302302302302302302302303302303303302302303304304304304304304304304304304304302303303303303303302302302302302302302302302302302302303302303302302303303303302303303303303303303303302302302301302302302302302303303303303303303303303302302303303302302303303302303303303304303303302301301300300299299299299298298298298299299299299298298298299299298298299299298298297297297298298298298297297296296296297298298298298298299298298296297297297297295298298298298298298298298298297298297298297298298298298297298298298298298298298299299299299299299299299299299298299299299298298298299298298298297297297297297298297297297297297297297297297298298297297298298298297297298297298298298298298297298297297296297296296296296296296296296296296297297296297297296297297296296296296296296296296296295295295295294295294295295295295293295295294294294294294295295295295295295295295295295295296296296296296296296296296296295295295295295295294295294295295295295295295295 999999999999999999999297297292296293293294295295294296297297297297296294294295298297299299298297297296295296295295295297298297298299299300300299299301302303302300299300299301300301300298297292295294295296297297296297295296295295295295295295295295295294294295295296296297296296295297296296295295293294294297297296295294296295295292293292292293292291293293291292291292292291290289287291291291291292292292292292293292293293293293292293293293293293293293294295293293294294294294295294295295295296294294294294295295295294297296296295294295295295295294293292290291292293294294294294295294294294294293293292293294294294294294295295295296296296296296296296295294291999999999297298297297299296296298299298298301300300299301300299999999999999999999999999999999999999999999999999297999290292999999999999296296300298298297296293296296296298296297298301300299299299301300297298299298297298299297299294295295296298298297297296297296297296297297297297296297298294298298298298299299300298299298296299298299301298299301302301303302302301302300297300300299300298297297299300302303303300299297295296295295298297297298298298299299300300301300300301300299301300301301301301301301301301301302303300301302301297297297300300299300300299300301299301300298298300300298297298299299299300298299299299299299299300301300302301302302302302302302301301302301300300300301300300299300301299299299299302299301299300302299300300300299300301301301303303303302303303303303303303302303303302303303303302302303303302302303303303302302302303303303304304304304304305304304304304303303304304304304304302301302302302302302302302302302303303302302302303303303302302302303303303303303303303302302302302302302303302302302302302302302303302303303303302302303303303303303303303304303303301300300300300299299299298298298299298299298298299299299299299298298298298299298298298298298298298297297297297296297298297298297297298298298297296298297298297297298298298298298298299298298298298298298298298299298298298298299299299299299299299299300299299300299299300299299299299299299299298298298298297297298297298297297297297297297297296297297297298298297298299298298297298298298298297298298298297296295297296297297297297297296296296296297297297296296297296296297296296297296296296296296296295295294293293294294294295295295295295295295295295295295295295296295295295295295295295295296296296296296296297297296296296296295295295295295294294293295295294295295295295 999999999999999999999999293293294293292291293294295296297298297298296295295295296298298297297296296296296296296297297297298298299299299299299300300301303304303303302303303302301300299298298295295294295297298298297299298296295295295295295295296296296296294295295296296296296297297297296296294295296296294295297296296297296295294293291292292293293294293293292291291292292292292290288289290292292292293293293293294293293293293293292291293294293292293293293293293294295295294294294295294294295295294296295999296297295999296298298296296296295295295295294292293292293293294294294294294293294294295294294292293294295294295295296296296296296297296296296296294294291288999999291298299298298299297297297297299299300300301301300297999999999999999999999999999999999999999999999297297999295297999999999296296295300297297297296294295296296297298300298298300301301301299299299298297298299298299298299293296297295297298298298298293297297297298296296296296295297298298299299298299299299300300301301297298298297299301304304302300300301301300300299299301301300299299298298304302300301300300296295294294295296297297298298299299299299301301300301300300300301301301301301302302302302301302303304301301302301303299301300298295297298298297299297301300299300300300298299300299300299299298298299298298299299301301302302303302302302301302302301301301302300301301301301300299300300299298298298301302300301302302299299300300300301301302303304304303302303304303303303303304303302302303303303303303303303303302302303303302302302303303303304304305304304305305305305304303304303304304304302302302301302301301302302302301303302303302302302303303303302303303302303303303303303302302302302302302302302302302302302302303302302303303303302302303303303304303303303304303303302301300300301300299299299298298298298298298298299299299299299298298299298298298298298298298298297297298297297297297297297297298298297297298297297297297297298297298298298299299299298298298297297298298299298298298298298298298299299299299299298298299299300300300300300300299299299299299298298298298297297297297297297297297297297296297296296296297297298298298299298299299298297299299298298297298297297297297297297297296296297297296296296297297297297296296297296297297297296296296296296296296295296296296295294294294295295295295295295295295296295296295296296295295296295295295296295296296296296297296296297297298297296296296295295295295295294295294295295295295294295296 999999999999999999999999999999295295295999295295293294294296295294294295295293294295294294294294295296295296296297299300297299299299299298300300300301301302301302298302302301300298296296296295297295294295296297296298297296295296296295295295293296296295295296296296297296295298297297297297294295296295295296298297298296295295293295291294293293293291294294293293291291290291293292290290290292293293293294294291293291293293295294294294294294294293294293294294294295296295295295294295295295295296296296294999295296999999300297297296297297296294295294293292293293290293293294294294295293294294295295294294293294294294295296296295296296296296296296294291292294294291288288289293298299298299298297296297297298302300300299299298999999999999999999999999999999999999999999298299298299298297294999299296297300299296295298295298299299299298297301300298299301300302301298298298297298297300299299298295296295298296299298298299297297297296296294295294295296297299296299299299299299302299299300297299299297298298300304302300302301301300299302300299299299300300299297298304303300304305305297297299300296296296296296298299298299299299300301300300300300300300300301301302302302302301301302303302302302303302300300299299300298298302302298298302298299300300299299299296301302298300298299298298299300300301300300302303304303304302302301302302302301301301301301300299299299298298300300300300302300300301301298302300300300301301302303303303303304304303304304303303303303303302303303303302303303303302302302303302302302303303303304304304304305304304305305304304304304304304303303302302302302301301301302302301302302302302302302302302303302302303303302302303303303302302302302302302302302302302302302301302302302302302302302302302303303303303303303303303303302302301301999999299299299299299298298299298298298298299300299299299299299299298298298299298297297297298297297297297297298297297297297297296297298297297297297298298298299299299299299298299298298298298298298298298298299298298298299299299299299299299299299300300300299299300299299299298298298298298298298297297297297297297297298297297297297297297297298297298298298298299298298298297298298298298297298298297298297297297297297297295297297295295296297296297297297297297296296297297296296296296295295295296295295294295295295295295295295295295295294296295295295296296296296296296295295296296296296297297296297297296296295296296296296295295295294294294294294294294295295295295 999999999999999999999999999999999999999999999999292293293294295294293294295293293293293293294294295294294295296297297300297296296298296300300299300301301301298298299299303300295294295294295294294294295295295295294295295296295296295295295292295295295294295296297297296296296296295296296296297296295296295296295296297295294294293294294293293293292291291292292291291291291291292291289290289292293293293294294292293292292294294295294294294294295294294294294294295296296295295295295296295296297297296296999999298298999999297294296294297297296295295293293293291291293290290294295295295294293293294295293293294295294295295296296296296296295295293291291290293295294292290287288292300300299299299296299298297299301301300300299300999999999999999999999999999999999999999999298297299300299296297999296298299299297298298300295299300301300300297300300300302301301301302298298297298299298299299296298297298298298296300297298298293296293295297299296294295295296296297299299300300299299299299299300298300299300300300303302301301301300301300300299300297299299299299297296299301301303303300297299299298298295296298297298298299299299298300300300300300300300301300300301302302303302302303303302302302303303303301298300300300300299301300301299299300298299300299299299297298299301301300300299299299300299300301301301302303303303303302302302302302301301301302300300300299299296299299300300300302299300300301302301300302302301302303303304304304303303304304304302302303303303303303303303302303303303302301302302302301302302303303303304304305304305304304305305304304305304304304302302302302302302301301302302302302302302302302302302302303303303303303303302302303303302302302302302302302302302303303302302302302302302302302302302303303304303303303303304304303303303302300300299299299299299299298298299299298299298299300299299299299299299299299299298298298297298298297297297297298298297297297297297297295298297297297297298299298299299299299299299299299298298298298298298298298298298298298299299299299299299299299299300300299299299300300299299298298298298297298297297297297296297296297297297297297296297296297298298298298298298298298298298299299298298297297297297297297297297297297297297297297297296297296296296295295296296296296295296296295296296296295295295295295294294294294294295295295295295295295295295295295295296295295295296295295295295296296296297296296297297297296296296296296296295295295295295295295295295294295295295295 999999999999999999999999999999999999999999999999999292294294293293293294294292293292292292292293292293294294297298298297297297297298300300300299301302301300299301302300299297297295294294295295296295296297295294293295295297296296295294294294295294295295297295295296296296296296296294295295295295295294296296297297295295293292293293293293292292292292292292292291291291292291292290290290290290292293293293293292292292292294294294294295295296295294294294294295295295296295295295296297296294296296295295999999298999999999999292295296296294295295294292292290290290290290290293293294294293292293293293293293294295295295295296296295295295291291290291290292293290295999999999287291296300300297299299300300300299301299299301299298999999999999999999999999999999999999999999298297298299297296295999295292295299297297298298299299299299299299298298298300299299299299300300302301298300299299299297298298299298298299297296298297296295296292295298298295297295296297298299299299298298299299297299298298300300300300301300300300300299300301299297299299299295297300297295300301299299299299299298298298300298298298297297298298298298299298300301300300301300300301301301300301301302302303302303304302303301301302303300301302299299299301302302300301301299299299300300299300299299299301302301299300301301300300300300301302303303303303302302302302302301301301301301300300299299298301300299302302301300299301300301301301302302303302303304304305304304304304304304303302303303303303303303302303303302302302301301302301301302302302303304304304305305304304304305305305305304305304303301302301302302302301302302302302302302302302302302302302303303303303303303303303302303302302301301302301302302302302302302302301301301302302302302301302303303303303303303303303303302302301301300299299299299298298298298298298298298298299299299299299298299299299299299298298298298298297296296296295297297297296296297297296296298297297297297298298298298299299300300299299298297299298298298298298297298298298298298299299299299298298299299299299299299299300299299298298298298298297298298297297297296296296296296297296296297297297298298298298298298298298298298298297298298298297297297297297297297297297297297298296297297296297296295296296296295295295296296296296296296296296295295295294295295294294294294295295296295295295295295295295295295295296296296296296296296296296296296296297297297297297296296296297296295296296296296296296296296295295295295296295 301999999999999999999999999999999999999999999999999294295293292293292293294293292292293293292290292293295296296296298297299299298300300301300300300300303301300300299300299298296294296295295296296296296296295295295295295297296296296296296296295295296296297295296296297296296296295295295295296296297295296297296295294294293293293293293293293293293292292292292292292292292292291292291290291290292293293293293294292293293294294294294295296296295295294293294295295296296296296296296297296294293293294999999999999999999999999999999296296295295294293292291291290289289290290292293293294294293293293294293294295295295296296296296295294291291292292293292291291291291999999999294295297300299298300301298300299300303299300300298296295999999999999999999999999999999999999999999295296296295293292999294294294296292296293293299300297300301299299298299299296299296297298297300300298302302299297297295299298298299297295297296294296295295295293295296294295295296298298299299298299299299300298299299300300299299299299300301300302301300300300300298298297298296295296299299299298299300299298298297297294297298300297297297299297296297298297298299300299299300300301300301299300300301301301301302302302302300299300299299300300298300300301301300301300299298300300300299300300300303299300300299300301301301299300300300301302302302302301301301301300300300300300299300299299298302300301302303303298299300299300300301300302300303302302303303304304303303304303303302302302302302302303302302301301303302301301301301301301301301301302302303304304303303304304303304303303302303302302302301301302301302301301301302301302302302302303302302302302303302302302303303303302302301301301300300301301302301301302302302301301302302301301301302302303303303303302302303302302303302302301300299299299298298298297298298298298298299299299299298299299298299299298299299299298298298296296296296296296296296296296296297297297297297297298297298298299297298299299300299299298299299299299298299298298298298299298298299299298298298299299299299299299300300299299299299299298298298298298298297297297296297296297296296296297298298297298298298298298298298298299299298298298298298297297297297297297297297297297296296296297297297297297296296296297296296296296296296296295296296296295295295295295295295294294294295295296296295295295295295295295296296296296296296296296296296297296296297296296296297297297296296296297296296296296296296296296296295295295295295295 301999999999999999999999999999999999999999999999999999293292292294292293293292291291292292291292292292293294295297297298298297298299299301302302302302302302302300298298299298296297297295297296296297296296296296296296296296296296297297296297296296297298297296296297296296297296295295295296295297297297296296295294294293294293293294294293293293293291291291293292292292292293292290291292291294294295294294294294294294295295295295295296295295293295294293293295296296296296297297295297298296295293293999999999999999999999999999999999999296295293294293292292291291289288291292292292293294294293293294294294295296296296296296295293290291292293292292293292292290290999999292295297297299299299299300299299301302304302300300297295999999999999999999999999999999999999999999999999296295294291292999293297301294293293295294294294296301301299299299300300297299296298299299298297303301300299298297298299299298298297296296295295294294294295293294295295295295297297298299299299299298298298297299298299300300299300301299299300300300301301300300300300299296298296295303301299300301299298298298297296295297299299300300301298297296297298298299299299298300301300300300301300300299300300300300300301303302301298301300300301299300298301301301301300299299299299299300300300302300302300302301300300301302301300302301301301301302302301301301301300301300300300300300299299299298301301301303303301300301300299299300301302302302303303303304303305305304304304304303303303302301302302303303303302302302302301301301302302300301301302302302303303303304303304304304303302302303303302302302302302303302302301301302302302302302302303303303303302302302302303302303303302302301301301301300301301301300301301301301302301301302302302302301301302302303302302302302303303303303302302301300299299299298297298298298298298298299298299299299298298298298299299299299299299299298298297296296296296297296296296297296297297297296297297298296298298299298299299299299300299299299299299299299298298297298298298298299299299299298298299299299300299299300300299299299299298298298298298298298298298297297297297297297297297297297297297297298298298298298298298298299298298298298298298297298297297296297296297297297296298297297298297296296296296296296296296296296296295296296296296295295295295295295295295295295295296296296296296295295295295295295296296296297297298297297297297297296296296296296296296296296296296297296296297297297296296296296296296296296296295 301999999999999999999999999999999999999999999999999999999293294294293293293292290290291292292291293293295294294295298298298298296299300300300302302302302302301301298298297297296298297296297296296297297297297296296296295296296296296297297296297297297297297296296296296296297296295296296297297299298297295296296294294294294293293293294294293292292291292292293293293293292293292291292292292295297297294295295295294296296295294295295295295294295295295294295296296297297296295297295296295296295999999999999999999999999999999999999999999296296294292292294293293292292291291291292292293294294294294294293294295296297296295294290290290291292293293292294294292291290290289294296298299298299300297300300301301302303305303302300297296999999999999999999999999999999999999999999999295296295293293292292298295294295291296295295298295302302301301300300300299298297298298298303301298302300300297298299298300297298298297297296295294293295295294295296294295296297298297300300300300301300300298299299299299300300300300300299299300301300300301301301300298298296294300300303299300298299299298297297298298299300300301301300298299298297298298300300299299300300300300300299300300301299300300300301300302303302300302302301302300302301303301300300300300299299300300300299300301300301298300301301301301301301301301301301300301302301301301301300300300300300300300299300299299299302300303303300298301301300298299299302302303303304304305304306306306305305305303302303303303303304304302302304303303302301301301302301302302302302302303302303303303303303303301302302303303303303303303303302302302302302302302302302302302303303303303302303303302302303303303303303302302301301300300300301301301301301301301301302301301301302302302301302302302302302301302303303302302302302302301300300299299298298298298298297298299299300299299299299299299299298299299299299299299298298297297296297297297297297297297297297297297296297298298298298298298299300299299299299299299299299299298299298298298298299299298299299299299299299299300300300300300300300300299299299298298298298298298298298298298297297297297298298298298297297298298298298298299298299299299299299299299298298298297297297297297297297296296297297296296297296296296296295296297297296296296296295296296296296296295295295295295295294294295295296296296296296296296295295296295296296296296297297297297297297296296296296296296296296296296296296296296296297297297296296296296296296296296295295295 301302999999999999999999999999999999999999999999999999999999293292292293293292293292292294292292293295295294295298298298299298296300300300302302303302303297298301300300299299296298297296297296296298297298297297297296296296295295295296295293296298298297296296296296295296295294296296295295296296296297295296295294294294294294293294294293292292292291294294294294294293293291291292293293295292295296295293294294294296296296296296296296296296296295296296296298298297295296297297295296295297999999999999999999999999999999999999999999999295297294293292293293292291291291292292291292292293293293293294294294295297297295293291290290290291292292293294293291290289289291295297297298297299299300300299299300300303302306306304301298297296999999999999999999999999999999999999999999999297297297295293292294293295297293296293295298296297298301304301300299299299299296296299299300298299297298298298296299298298298297298298297296296295295294295295295295295296295297297298300300300300301300298300300299299301301301301301301301300301300300301300299300299298295295299300298298299297297299297297297297297299299299300301299300301299299297299299299299300299301301300301301300302301300300300300301303302302303301301303302301301303300302302300300299299300299299300300300302303301303301301302302301301301300299299300300301300302300301301301300301300300300300300300299299300300303302302299299299299299299299300301302303303303305304304304304306306305305305304302304303304304304304304303303303303302302301301301302303303303302303303303303303304304304302302302303303303303303303302302302302303303303302302301302302302303303303303303303303303303303303303303303303302302300300301300300300301301300300300300301301301301301301302302302302302302302302302302303303302303302302301301300299299298298298299298298298299299299299299299298299299299299300299299299299298298298298298298296297297297297296297297298297296297297297298299299299299300300299300299299300299299299299299298298299299299299299299299299300299299299299300300300299300300300300299299299298298298298298298298297297297297297297297298298298298298297297298298298298298298299299299298298298298298298297297297296296297296296297297296295295295296297295295296296296296295295296296296296296296296295295295294294294294294295294294296296296296296295295295296295295296296296296296297296297296297297297296296296296295295295296296296296296296296296297296297296296296296296295295295295294 301302303999999999999999999999999999999999999999999999999999999999999293293294294294294295294294294297297295297298299299300300297300300301301299302300301300300300300300298298297297297296296296298297299297296297297297297296296295296296294295297297297296295296296295295295296295295296295295297297298295297296295295295294294293294293293293293292292293295294294294294293292292292293294294294293294294294294293292293295295295294296295296295296296296296296297298297296296296298297295294297297999999999999999999999999999999999999999999300294298293294292293293293292292292292292292292292292292292293294294295295296293291288289291291289288289289291291290289289288288291296298298298299298299301301300300298299300301302303302299298296295294999999999999999999999999999999999999999999298299296295292294295296300297300297294298295296295295297302301300299298300299297296296300300296299298298297302300297298298298298298296296296296296296294295296295295295296296297298299300298300301300300299300300299299300302301301301302301300300300301301299299297299296296296299299299298298298297296297298298297297299298298298301301301301301298299299299299300300300299300299302301301301302300300301301301300301302303304305303304302302303303302301301301299299299299298299300302301302303303302301301302301301301299300300301301301302302301301300300301301302301301300300300301300301300300302300300299299299299300301300301303304304304305305305304305306306305306305305304304304304304303303303303303303302302301302302302302303303303304304303303301304301302301302302302302302302302302302302302302302302301302301301301302302302303303303302303303302302303303303303302302302301301300300300299299300300300299299300298299299300300300302302301301301301301301301301302303302303302301301301300299299299299298299298297298298298298298298299299299299299299299299299299299298297298298298297297297297297297297297296297297296297297298298298299299299300300300300300300300300300299299299299299298298299298299299299299299299299299299299300300300299300300300300299299299298298298298298297297297297297297297297297297297298297297297297297298298297297298299299299298298298299298298298297297296297297297296296296295295295295295295295295295295295295296295296296295296296295295295294294294294294294294294294295295295296296296295296295295296295296295296296296296296297297297297297296296296295295295295296296296296297296296296296296296296296296296295295295295295295 301302303999999999999999999999999999999999999999999999999999999999999999295293294294295295295295295295294294296298298301302301301301300303301301302302302300300299299300299298297297297297296296297298298298298297297297297297297297296298296296296296295294295296295295295296296296298297295296296297297297296296295296295295294294294294293293293293293295294294294294293292294294295293295296295294296294296295294293294294294297296296296296295296296296298297298297298297297298297296295297298999999999999999999999999999999999999999999999295296295293293293293294293294292292291291292292292291291291292292293294293292288288289290293291288286999292287288285286286289288292295295296298299297299297301297300299299298300300300300299299297296296295296999999999999999999294293999999999999297296295293291294295298301299299294292295295295296296297297298298298296298298296295296299300304305297298296299300301298298299297297296296297296296295293294296295295293296297298298299300299299300300298299300300299300301302301302301302299300300300301300300297299297298298301301299299298299298297297297300301295296300298299298301300298298297298299299299300300300300300298299299300300299300299298299300300300300302302302302302301301301303301301302300299298299299299299299300302302302302303303302301301299300300300299300300300300300300301301301301300300301301301301300301301301301301300299300300300299300300300300300304303303304305304304305305305305306305305305304304303303303303301302303302302302302302301301301302301303303303303304303303301302302301301301301301301301301301301301301302302302301301301301302302302303303303302302302302302302302303303303302302301301301300299300299299299300300300300299299299299299299300300302301301301300302300301301301302302302302301301300300300299298298299298299299298298299299299299299298299299299299299299299299299298298297297298298298298298298297298297297297297297296297298298298299298299299300300299300300299300300300299299299299299299299299299299300300300300300299299299299299299299299299299299300299299299299298298298298298297298297297297297298297297297297297297297298298298298297296297298298298298298298298298298298298297297298298296297297296295295295295295295294295295295295296296296296296295295295295295294294294294294294294294294294295295296296296296296296296296296296296296296297297297297297297297297297297297296296296296296296296297297297296297296296297296297296296296295295295295295295 301302303303999999999999999999999999999999999999999999999999999999999999290293294293295295295294297296296295296300301299299300302302299300300301302303303302300300299299299298297298297298298298297297298298298298297297298297297297295295296295295295296296296295294296296297297297297298299297297297296296297296295294295294295296295294294294294294295294294294295294293295294294294293295297296293295295296295294294296296297296296296296297296296297298298297297297297298298297297295298297298999999999999999999999999999999999999999999999999294293999295294294295294294292292293292292293292291291292292291291291292293287290291293294292288999999999999999286287290291293294297297298298299298299298299299299299299300298298298298297298297297297296296294295999999999999294293999999999999293295292294295294297298298299296297294295295296295296295297298299297299299299298298298298298304302299300300301300301302300298300299298297296296297295295295295295295296296297299300300300300300300300299299301301300300301301300300302301300300300299299299300296299301299299300302300299299298297297297297296298297296300296300297301301298297297298299298299300299299300300299300299299300300299299299300301302301299301302302303303302304305301301301301300300298300299300300299299300302301302303302302302301300301299300300300302301300299300301302301301301300301301301301301301302302302302302300300300300299300300299300302304304303304304305305305306306305305305305304305304304303303302302302302302302302302301301301301302302302302303304302302302302302302302301302301301301301301301301301301302301301301301302302301302302303303302302302302302302302302303303302302303302301301301300300300299300299300300300300300300299301301300301302302302301302301301301301302303303303303302301301300300298298299299299299299299299299299299300299299299299300300300299299299299299298298298299299299300299300299299298298298298298298298299299299300299299300300300300300299299299299300299300299300299299300300300300300300301300300300300300299299298298299299299299300300299299299298298298298298298298297297297298298298298298298298298298298298298298297297298298298298298298298298298298297297297298297297297296296296296296296295295294294295295295295295295295295295295295295295295294294293293293294293294293294294294295295296296295295296296296296296296296296297296296297297297297297297296296297296296296296296296297297296296297297297297296296295295295295295294294294 301302303303999999999999999999999999999999999999999999999999999999999999999293293294294293294295294295296296296297300297302303304298300301301302303303303302301301300299300299298298298298298298298298298298298297297297298298297298296297297295296295296297295296297296297297296297297297297297296297297297296296296295295295296296295295295294294294294294294294295295295295293294293293294296294294295295296295295293294297296296296296298298297297297297297297297296296296296296297297297297999999999999999999999999999999999999999999999999999999999999999299296295294293293292293293293292292291291290292289290290289289292290291292293290288284283285290288290291294295297297297297298298298298297298298299299298298299298297297298298298297296298298296295296298295295291289999999999999292291294291291292297296297297299299296295295294297297296296297299299298298298300300302300300299302301301302302299300299298298299300300299298300295295295296296297297297296297297299300301301301300300300300300301301300300302301301301302303301301301300301301300301301299300302298301300299300299300299298297298298297298302302300297300300298298299300299299299300300301299300300301299301302301300299300300303302303305303303304304304304304305305301304300300299298300300300299300300300302304304303304304302303300301301300300301300302302301301301302302301303303301301301301301302302302302303303305302302301301300300299300302303304304304305306306307306306304305305305305305304305303304304303303302301302302301302302302302303302302303302304303303303302301304303301301301302301301301301301301301301301301302302302302302303303303303302302302302302302303303303303303303303302302302303302300299300299300300300301301302300300301301300301302302302302301302302302302302302301302302302301300300300300299298298299299300299299300299299299299300300299300300300300299299299298299299299300300299299300300300299299299299298299299299300299300299300299300300300300299300299299299299299300299299300300300300300300300301300300300300300299299299298297298298299299299299299299298299298298298298298298298298298298298298298298298298298298298298298298297297297298298298298298298298298298297297297297297297297297297296295296296295295294295295295295295295295295295295295294294295294294293293293293293293293293293293294294295295295295296296296296296296296297297297296296297297297297297297296297296297297297297297297297297297297297297297297296296296295295295295295294294 301302303303999999999999999999999999999999999999999999999999999999999999999999294292292292293295294295296297296296297300298299299301301300301303302302302302302301301301301300300300299299299299298298298298298298298298299298298298298297298297296297297298296298297297296297297297296297297298299298297297297297297297297296297296296296296296295295295295295295296295294294294293293293295295293294296296297297296296295298295296297298297297297297298298298299298300300300297297298298298999999999999999999999999999999999999999999999999999999999999297298298999999294293294293293293292292291290290290291292292292293293292291292293292291289285285288291292293295297297297297296296294297296297298298297297297298298298297297297297297298298297297297295296296297297297294293999999999291293293292292292291293295298297297295296296295297293293297299295298299299299297300302301298301301299302303300300299300300299299299300300300298300300299298297297296298297296297297299300300300301300301300301300302302300301302302302302302301301300300300300300301301301300300298298298298299300300300299298299298297297296296301297298299301300301297298299300299299299301301301299300301299301302301301301301302302305304303304305305302304304303304304302301301299299298299299298298300298302303303302303303303302301301301301301301302303301301300299301301302301302302302302301302301301302303303303305305302301301300299300300303303302303304304305305305305306305306305305304304303303303304303303302303303302302302302302303302303303301303302303303303304303303302301303303301302302302301301300300301301301301302301303303303302303303302302302302301302302302304303302302303302302300303301300300299299299300300300302301301300301301301300301302301302302302302302302302302301301301301301300300300300301300299299299298300299299299298299299299299300300300299300300300299299299299299300300299300300300299299299299300299298299299299299300300300299299299300300300299300300300300299300300299300299300300300301301301301300300300300300299299299299299299298299299299299299299298299298298298298298298298298298298298298298298298298298298298298298298298299298299299299299299299298298298298298297297297297297297296296296296296296295295295295295295295295295295295295295295295295294294293293293293293293293293293294294294294295295295295296296296296296297297297297297296297297298297297297296296296297297297297297297297297297297297297297297297296296296295295295294294294 301302303303999999999999999999999999999999999999999999999999999999999999999999999291289292291291292293295295297296297296297299299301301302303304303302301301301301301301300301301300300299299299299299298298298299299298299298298297297297297297297295297297296297298297297297296296296295296297298297297297297297296297297296296297296296296296296295295294295295293295296294293294293294295294294296296296296296298297296296296296296298299298297297298297298299301301297297298299297297297999999999999999999999999999999999999999999999999999999999999999999999999999999999294294293293293292291290289290292291293293294294293292294294293291286285288293295294294295297297297296297296295298298297298296296297297297297296297298297297297298297297297294295296296296296297297296294999295295295295296296296294295297296297296295296297299297293294296297296296298297298298299300298299299300301304304303302301299300298301298299298300298299297297297298298297296298300296297298299299300300301302301300300300300300302302302302302301301301301301301301301300301300301301300299297299299300300300301299299300298299297301299299297302300301301299299299299299299298298298299299299299299302301300300301302303305304306304304306307306305303302303303303300300299298299299299299299301300302302304302302303303303303302301301302301301302302303302301301301302302302302302302302302301303303304304304304303302302301301300300302301302304304304305306305305305306305305305304304303304303303304303303303303303303302302303303302303303303303304304303303303302302303304301301301302300301301301301301301301301302302302301302303303302304303303303303301302302304304303303302302302303303302302302300301300300300300300302302300301302302301301301301302302302301302301301302302302302301301301300301300300300300300299299299299299299299299299299299300301300300301301300300300299299299300300300300299299300300300299300300300300300300300300300300300300299299299299300300300300300300300300300300300300300300300301301301301301301301300300300299299299300299299298299300299299299299298299299298298298298298298298298298298298298299299298298297297298298298299299299298298298299299299299298298298298297297297297297297296296296296296295295295295294295295295295295295295295294294294294294293293292292292292292293293293293294294294295295295295295296296296296296297297297297297297297297297296296296296296297297297297297297297297297297297297297297296296295295295295295294294293 299301302298999999999999999999999999999999999999999999999999999999999999999999999999999291290292291293294295296295296296298299300301301303304305303302302302300301301301300301301300299299299298298299299298298299299298298298298298298298298298298298297297297297298297297297296296296297297297297297297296297297297297298297295296296295295295295294294296295295294293293294294295294295295295295296297297297297296295294294295295296299299299300299299297296298298298298298297297296296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294294294294293291290290291292292293294294293293293293292291289292287290294297297296297297297296297296296296298298297297296296295296296296296296297297296296298297298298295294296295296296295295296294293295294295297294294295294294294294296294296294297296294295293294296297297296296297298299297297299298298300301303303303300299298300300301301300297298300299296297297299301299297298298297298299300300299302301300300302301301302302303301300301301301302300300301300300301300298299300300299302300299301301300300300299299298298297300300299300300300299299298299299299298299298299299298299299300299299299299301302302303303305305304306305308307305302304304302303302302299298299299300299299299300301301302303302303303303303303302302301301299299300302303302302302302303304303302302302302302302301303303304304303302302302301301303302303303304302304305305305304304304305304304304305304303303303303303303303303302303302303302303302302303303303304304301301302301301301301300300300303302302302300301303301301301302302303302302303302302303303303302303302302303302303303302302303302301301302301301301300300299301300301301302300299302301301301301301301301301301301300301302302302302301300300300300300300300299299299299299300300299299300300299299300300300300300301300300299299298299299299300300299299299299299299300300300300300300300300300300300299299300298299299299299299299299300300299299299299301300301301301300300301300300300300300299299299299299299299299299299299299299299298298298298298298298298298297298298298298299298299298298298298298298299299298299298298298298299298298298298297297297297297296296296296296296296295295295295295295295295295295295294294294294294294293293292292292291292292292293293293294294294295295295295295296296296297297297297297297297297297296296296296296297296297297297297297298297297297297297297297297296295295295295295295294294293 300301999303999999999999999999999999999999999999999999999999999999999999999999999999999999289291290292292296297295296297299299300301301302303304303302302302302302302301301301301300299299298298299299299299300300299299298298298298298298299298298298298297297299297297297298297297298297297298297297297297297297297298297297296296295294294293294294295296293293294294294294295296294294294295295296298297296296296295295295296296296299301299301299299297297297296297297296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294292291291291291292292292293294294293292292290288287291294295293296297297297297297297296297296297295299297296297296295295296296297296296296297297297297297296297295294294293294294294294295293294294295296294294296292293293292292295299299301301302296297295296295295296297297299298299298299297299299300301301302301301303301298298303302301299296299299298299301300298301299300299298298300299301300301300300300300301300301302302301302302301301301301299301300300300300299299298297296300298299300299300299298298297299298299300300299300299300300299299299299298297298298298299298298299299298297299298300301301301302303304305304303304307308306303303300300301302302297302298299299299300300301300301301301303302302302303301301301302301300300301301301302302303303303303302302302302302302303302303304304303302302302301302303302302304305304305306304304304304304303304304304304303303303302303302303303302302304303303303302303302302303303303303301300301301301300301302302302302302301301302301302301300301301301302302302302301303303301303302302302303303303303301302301301302301302302301301300300300300301301301300300299299300301301302300301302302302301300301301301301301301300300300300300300300300299300300300301300300300300300300300299300301299300299299300299299298298299299299299300300299299299300300300299300300300300300300300299300299299299299299299299299299299299300299300300300300301301301301301301301300300300300300300299299299299299299299299299299300299299299299299298298298298298298298298297298298298298299299298298298298299299299299297298298298298298298298298297297297296296297297296296296296295295295295295294295295295295295294295295295294294294294293293292292292291291291292292293293293294294294295295295295296296296296297297297297297297296297297297296297297297297297297297297297297298297298298297297297297296296295295295295295295294293293 301303999301999999999999999999999999999999999999999999999999999999999999999999999999999999999291291290295296294295297299299299301300302303304305304303303302302302302302301301300300300300299299299299299300300300299299298298298299298298299299298298298298298298298297297298297297298297298298298298298297297298297297297296296296295294293292293294295295295295295296296294295294295294294296296297297298297296296296296296297298297298300300301300299298298299298294296296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292293292293292292293293292292291289290288287290293293294296296296296297296296296298298298298296296296296296295296296296297296297298297298297296295295295293294294294294295294295295294293294294294293291295294294294293292293300296300296292293299297295294296297298298298297297298298299299300301301301302304302301299299301301301300298299299297300298300298299299297300298298299302304301301301300299300298298301300300301301301301301301301300299299299299299300300300298299298298299298301300299299298298298299298300300300299300297298301300298298297295298299298297297298297296298299297298299301300300303303304304303303304304304305304301302300301302297301300300299299298299300300300299301300300302302302301302302302301302301301302302300301303303303304304303303302302303303303302303303304304303301303302302302303301303304304304304305304303303303303303303303303303303302302303302302303302301302304303303303302302303302302302303302303302301301301301301301302302302302301300302302301301301301300301302301302302301302302301302303302302302303302303302302302301302301301300300300300300300300300300300300300299300301300301301301301303302302302301301301301301301301300299300300300300299301300300300300300301301301301301301300301300301301300300300300299299298298298299299299299300299299300299299300299300299299300300300299299299299298298298298299299299300299300300300300299300300301301301301301300301300301300299299299299299299299300299299299299300300300299299299299298298298298298298298298298298298299299299299299299299299299299299299299299298298299299298298298297297296297297297297297296296296296295295295295294295295295295295295294295294294294294293292292292292291291291291292292293293294294294295295296296295295296296297297297297297297297297297297297297297297297297297297297297297297297298298298297297297296297296296295295295294294293293293 302301302300999999999999999999999999999999999999999999999999999999999999999999999999999999999999288289294296294296297298300301301302302303304304303304304303303302302301302301300300300300300299299299299299299299299299298298298298298298298298297298298298299298298298298298299298298298298298298299298298298298298297297296296296296296295294294296294294295295295295295294295297296296297297297298298298297296297296296300301299299300301299299301300300300301298302302298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289293293293292292291291290999293292290288288291293293294296293293294294295295296296298297297296295294294295296296296296296296296297298299298296294293293294294294295294293294294295297295296296294295293294296295293295295292294296294295294295292295294295296297298299299300298298299300298299301302302302302304302301300302302302300301302300299298297297297297300295298298298297300300301304303303302301301302301301301301299301301301301301301299300300300300299299299298299298298298298301300300299298298298298299299299300297297297298301299297298297297299300298298298298298298299299298299300301300300301302303303305305304304303303303302299300301302301299300300301301301299299302301301303300300299302300301302302303302300301301300302301302303303303303303302302303304303304303303302303303303303304304304304302304305304304304304305306304304303303303303303303302302302303302302304304303302302302302302303303302302302302302301302303303302301302302300301301301302303300301301303302301302303302301301301302302302303302302302302303302302302302302302301302301301301302302303301300300300301300301300301301301301302302301302301301302302302302302301301301301301301301300300300300299300301301301300300300300301301301301301302301301301302301300300300300299299299299299298299299299299299299298299299300300300300300300300301300299299299298298298298298299299299299300300300300300300301301301301301301301300300300300300299299299299299299299298299299299300300299299299299298298298298298298298298298298298298299299300299299299299300299299299299299298299298299298298298297297296297297298298297297297297296296296295295294295295295295294295294294294294294293292292291291291291291291291291292292292293293294294294295295295295296296296296296296297297296296296296296296296296297297297297297297297297297297297298297297297296296296296296295295295294293293292292 300301302297999999999999999999999999999999999999999999999999999999999999999999999999999999999999287289294296294295297298299300301301302304303303303303303303302302301301301301300300300300300300300299299299299299299299299299299298298298298298299299298299299299298298299299297297298299298298298299299299299298298297297296296296296296295295295295293294295294295295296296296297297297297296297298298298298297297296296298299299301298301301300300300299299301301300300298297293999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292293291293293292295999296296294294295294294294294293294294294294293294294295296296296295294296295294293293295295296295295294295296298298298296294293294292293294295295293292295296296294296297295295294293296297295294295290295296296296294294294295296295296297297299300299300300299298299301303302303304303301301303300301301302301300300297298295299299297297300296297300299298299299299304301302301300302300298299301301300300300299299300300300301300300300299298298297298298298298298301300299298298299298299299299296296296296296300299298297297297297297298298299298298298298299299300299301300301301302300300303302302303305305301303304303302301302298299301300298300298296299300300301303304303303300301302301301301304301301300301301301302301302302303303302304304304305304303304303303302303304303304303303302303303304303303304304306305303303304303303303303303302302302301302302303303302302302302303303303303303302303302302302303303300301302302303303300301301300300301301304302300303302303303302301302302302302302302302301301301301301301302302301301301302302301301301300300300300300302301300300301301301300300301302301302302303303302301301301301301301301300299300300299299300300300300300300300300301300301301301301301301301300300299299299299299299299299298298298299299299299298299299299299299300300300300300299299298298298298298298298298298299299299300300300300300301301301300300300300300300300300300300299299299298298298298298298299299299299299299299298299298298298298298298298298298298299299299300300299299299299299299299299299299298298298297298298297297297297297297296296297296296296296295294294294294294294294294294294294294293293292291291291291291291291291291291292292292292293293294294295295295295295296296296296296296296296296296296296296297297297297297297297297297297297297297297297297297296296296296295295295294294293293292291 297296298298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289291293294296297298299301300301301302302303302302303303302301301300300300300300300300300299299299299299300299299299299299299298297298297297299299298298298298298297297297296297297297298297297298298297298297297297296296296296295295294295295294294294294295295296297296296295296295296296296297296298297296295296297300299298301299300300299298299299300302299295297296298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293292294293292293292290290292295294292294294295294294294294294293293294293294294294295295294295295295295295294293293294294294294295295296296297296295295295293293293293294296294293292293294295295296296294294293292290289289290292292292296295294295295295296296295296297298298298299300301299301303302302300300301302304301301300300300301300299299298298299301299299298299300299299298297299299301303301299300300299301300300299301299300299299300297300301301300300299299298298298297299298301300300299299297298298298299298295295296296296299299298296298297299298297297297297298297297298299298299300300300301303301302304305303302307304305302298301301301299299300299301301296296298297299300304304303304303304304299299301301304300301302302302301302302303303304303304303304304302303303303304303302304302303303303302303303303303302303304304303303303303302302302302303302301301302301301302302303302302302302302302301302301303302303301302302301300301301302303302300300300302300301302301302301302304302301301302302302303302302303302302301301301301301301301301301302302302301301301300299300300300300300300301301301301300300301301301301301302302302302301300301301301301300299300300299300300299300300300300300300300300300300301301301301300301300300299300299299299299299298299299299299299299299299300299299299299299299299298298298298297298298298298298298298299299300300300300300300301301301300300300299300300300300301299299299298299298298298298298298298298298298299298299298298298298298298298298298298298298298299299299299298298298298298298298298298297298297297297297297296296296296296296296296295295295294294294294294294294294294294293293293292292292291291290290290290290290290291291291291291291293293294294294294294295295295295295295296296296296296296296296296296296296296296296296296297297297297297297297297297297296296295295294294294293293292291291 296295298301298999999999999999999999999999999999999999999999999999999999999999999999999999999999999290291294295296297298299300300300301301302303302303303303302302301301301301300300301301300299300299300300300300300300300299299299299298298299299298299299298299299298296297297298298298298298298298298297297297297297296295296296296296295295295294295295295295296296297297296296297296296297297296296296296296295296298298297299300299297300299297297299999999294293297294999999999999999999999999999999999999999999999999999999999999999999999999999999999999298297299999999294293293292293293292291292293291291293293293294295295295295294294294293292292293293294294294294294293293293294293292294294293293293293292294295295293294296296296295293293293292294294293292294293294293295294294294294292291294293292295293292294293295294294296295296295295295294295296297298300301301301302300301299300303304300299299300300299298298297298298298299300299300300298302300298298298300299297298299298298299299300300300300299301299299299299299300300300299299299298298298298298297298300299299298298296298298298298298298295295296296299298298298296297297297297297297296297297297297298298298300300300302301303303303303303303303304300300302302299301299299300298298296297295295297298298302302300304304305304305302302303303300299302302301301299300300300303301301302303303304304304302303303303303303303303302302302302303302302302303303303303302302302301302303302303301302300301301302302302302302301301302302300301301301301301300301301301301301301301302301300300299300300300301301302302302303302299302302301301303303303303302302302301301301301301302301301300300301300300300300297298298299300299300300300300301300300300300300300300301300299300299301300300300300299299299299299299299299299299299299299299299299299300300298300300300300299299299299299299299298298298298299299298298298298299299299298298299298298299297298297297297297297297297297298298298299299300299299299300300300300300301300300299300298299299299299298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298297297297297296296296297296296296296296296295295295295294294294294293294294294293293293293292292291291291291291291291291291291291291292292292291292294294294294295295295295296296296296296297297297297297297296297297297297297297297297297297297297297297298298298297297297296296295295295294294294293292292 298293297296299293999999999999999999999999999999999999999999999999999999999999999999999999999999999999292295295296297298299300300300301301301303302303303303302302302302301301301301301300300300300300300300300300300300300300300299299299298300299299300299299299297297298298298299297298298298298297298297297297297297298297297297296296296295294295295296295296297297296296297297297297296297297297297297296297296297300299300301300299297298299297298999999999298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297297297297298297296294294294294293294289293293291294293293294294295294293295293294295294294292293293294294294294294294294293293292293293293294294295294294295296297295294297296296296294293294294295295295294293295296294294294293293293292292297296296296294293295294295296294294295295294294295296296297297298301299301301301301300299301302301301300300300300300300300299299299300301301299298298298300300301298300298298299301300298300299300300302300300299299299300298299299300300299300300298299298298298297297298299298298297297296297297297297298297297298298298298299301295294297297296297297297296297297297298299299299299301302302303303304303303302303303302303303300301300297300299300298297297295297299298299299301299300302302303304303302302302302299299298300301302301301301300300300300301302303302303303302302303302302302302303303303303302303303302302303303302302302302302302303303303301300301300300301301302301302301300301300299300301300300300300299299300301300300300301300300301301301300300301301301302301302302303303303303303303303303302303302302302302301302301302302302301301301301300299300300300299299299299297300299299299301301300300300300300300301301299300299300300300301300300300299299299300299299299299299299299299299299300299299300300300300300299299299299300300299299299299298299299299299300299299299299300300299299299299298297298298298297297297298297298299299299300300300300300300301300301301301301301300300300300300299299298298298298299298298297298298299298298298299299298298298298298298298298298298298298298298298298298299298299298298298298298298297297297297296297297297296296296296296296296296295295295295295294294294294294294293293293292292291291291291291291291291291291291291292292292292292292293294294295295295295296296296296296297297297297297297297297297297297297297297297297297298298298298298298298298297297297297297296295295295294294294293293 295291297298294292999999999999999999999999999999999999999999999999999999999999999999999999999999999999293295295296297297299298299300301301301302303303302302302302301301300300301301301300300300300300300300300299300300300300300301299299298297299299299299299298298298298298298298298299299298299297297297297297298298297296296296296296296295294295295296296296296297296296296297297297297297298298298299298297298299300299299302300297297297297300999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296294294295298296295294293292292296292292293293294294293293294294293294295294295295294293294294294293293294294295294294294293293293293293293294293295295296294294295295295298298297297296296295295296296295295295295296296295293295294293294293296295297296295295295294294293295295295295297296295296297297298299299299301301301301302303301301300300300300300302301300300300300300301299299298300299299296299302298298298299299299299298299300301303300301300298300300300301300301301300300300300300299299298298297296299298298298298297297297297297298297297297298297299299297297297297297297297298298298298297298299299300300299300302302303303304304303305304304304304303303303302301300299299298297297295295298299299301300299299299301300303303302303301301302300300302302302301301301301301300301301301303303303303302302303303303304302304304303304302303303302303302304302302302302302302301302302302302302301301301301302301302303301299301302300300301301301302302301300300301300300299299299300299300301300301301301301301304303302302303302302302303302302302302302302303302302302302302302301302302301300301300300300300300299299298299299299299299299300300300300300300301301300301300301301300301301300300299300299299300299299298300299299299299299300299299299300300300300299299299300300299299299300300300299299299300300300300299300300300300299299299299299299299298298298297298297298298298299299300300300300301300301300300301301300299299300300300300299298298299299298298298298299299299299299299299299299299298298298299299298298298298298298298298298298298298298298298299298298298297297296296297296296296296296295295295296296296295295295295295295294294294294293293293292292291291291290290291291291291291291291291291291292292292293293294294295295295296296296296296297297297297297297297297297296296296297297297296297297298298298297298298298298298297297297296296296295295294294293293293 296297299300296296999999999999999999999999999999999999999999999999999999999999999999999999999999999999293295296297297298298298300300301301301302302302302302303302301301301300300300300300300300300300300300300300299300299300299299298298297298299299299299299299298299298298298298298299298297298298298297297298297297296296296296296296296296296296296296296296296297296296296296297297296297298298299299297297298299299298298296301299300300999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293294295295294293293292291291294294292293293292293293293293293294294294294295295295294295294294294294293294294293293294294293293294294294294294296296296293294295297296297297299298297295295296296297297297297296294295295294296295295294294294295296296295295297297294293295295296296296295295298299298297300299301300300301300301300301301301300300300300301300301300299298301300300300300298298297302299300297299299298299299298299299302303301300300300302302302302300300300300300299299300300299298298298297296298298297297296297297298297298298298297298299299303303303297297297297297298297298298298298300300301300300300300302303303303303304303303302303303304302302302302300300299298298296298301299299299299300301300301301300302303304303302302301301302301302301302300300301300300300300300301302303303303302302303303303304303304304304304303303303302302302303303303302303302302302303303303303303302302302301302303302301301302301302300301303302301301305302301301300301300299301303301300300301301301302302301302303302302302302301302303302301302302302303302302302302303302301302302301302302301299299300299300299299297297298298299299299299300300299298300300300301300300300301301301301301300300298298299299299299299300300299299299300299300299299299300300300300299299299298299299298299300300299299300299299299300299300299300300300299299299298299298300298298298298298297298298298299298298299300300300300300300300300299299299299299299299298298298299299299298298298298299300299299299299299299299298298298298298298298298298298298298297296297298298297298298298298298298297297297296296296296296295295295296295295295295295295296295295295295294294294293293292292292292291290290290290291291291291291291291291291291292292292293293294294295295295296296296296296296297297296296297296296296295296296296296296297297297297298297297298298297297297297296296296296296295294294294293293292 304302300298300297999999999999999999999999999999999999999999999999999999999999999999999999999999999999292295295296297298298299299300300301301302302301301301301302301301301301300300300300300300300300299299300300299299299299299299298299299299298299298298297298298299298298299298299298297298297298299298298299298296297296295296296296297297296296296296296297297297297297297297297298297298298299298297298298299299297297297297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295293292293292292291291293292294293293294293293293294293293294294293295295293295295295295294294293293293294294294294294294294294294295295295294294295296298297298298298299297297297297296296296297297296296296295294295295296295295294295295295296294293296295295295295295296295296295297296298297298298299299298302300299300299300299299300301299300300299300300299300299300299300298297297297300301299299300299299298300300300301301300300301299300303303302301299300300300300299299299299299298298298297297295298297296296296297297298297298297297298298299299296303298297297297298298298298297298299299300301300300301300302302302301302302302302302302302301301301301301302301298300299298298297297298299299299299301300299301300301303303303302302301301302301302302300299299299299297298300301302302302302301302303302303303302304304303303303303303302301302303303302302302303302302302302303303301300302303301302302302301301301301302301301301301302301302304303302301300301300302302300300302301300301302302303302301302303302301301303303302302302302302303303302302302302302302302302301301302301299299299299299299300298297298298299299300300300299300299299299300300300300301301300300301300301300300299299299299300299300300299299300300300300300300300300300300300299299299299298299298299300299299299300300300300300300300300299300300300300299298298299299299298298298297297298298298298298298299299299300300299300300299299299299298299299299298298298298298298299298299299299299299299299299299298299299299298298299298298298298298298298297297297297297298298297298297297297297296296295296295296295295295295295295295295295295295295296295295295294294293293292292292291291291291290290290291291291291291291291291291291292292292293293294294295295295296296296296296297297297297296296296296296296295296297296296296296297297297298297297298297297297297297296296296296295294294293293292292 296301301302299297999999999999999999999999999999999999999999999999999999999999999999999999999999999999292294296295296297298298299299299300300300301300301301301301301301301299300299300300300300300299299299300299299298299299300299299299298299299298298298297299298298298298298298299299297297298298298298298297298297297296296296296296296296295296296296296296296296297297297296297298297297297296296297298299299297296296296296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298292291292292291291292293294294294293293293293294293294294295295295295293294294295294294295294294294294294294294294294294294294294294296296295296298298298300300299299299298297297298298298298297296298297295295294296296295295295295295296296294999295296296295295295295294296297297298298297299300300299301301299300299299299299300299300300299299299300299298300299297297298298298300296301297299299299297298298298299299300301299301301301299303303303299299300298299299299299298299298298298297297297296298297297296297297297298298298298297298299300300299299298297298298297298298297297298300300301301300301301301302301302302303303302302302302301301301300300301299299298301299299299298299298300299300300300300299300300300301303303303301301302302302301300299300300299299299299299300301301302303302302302302303303302302303304302303303301302302302300302302301302302303302302301301302303302302303302302302302301301301302301301301302301302303303303303303302301301301301302301301300300301301303301301302303303303303302302303304304302302302303302302302302302302302302302302302301300300299299299300300299299299299299300298299299299300299299299300300300300300300300301301301301300301300300300300300299299300300300300300300300300300300300301300300299299299299299299299299299299299299299300300299300300301301301300299300300300300299298299299299298298298298297297297298298298298299299299300299299299299299299299299298299299299299299298298299298299299299299298298299299298299298298298298298298299298298298298298298298297297297297297297297297297297297296296296296296296295295295294295295294295295295295295295295295295295294294294294293293292292292291291291290290290290290290290290291291291291291291291291292292293293294294294294295295295296296296296296296296296296296295295295295295296296295296296296296296297297298297297296297296296296296296295295294294294293292292 296296299304298298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295296295296296298297298299299299300300300301301301301301300300300300301300300300299300299299299299299299299300298299299299298299298299299299299298298298298299298298298298298299298299299299299298298298298297297297296296296296296295295295295295295295295296296297297296297297297297296296297297298299300298297297297297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302999999999999999999999999295297292291291292291291293292293294293293293293293295294294294294293294293294294294294295294295295294294294294294294294294294294294294295295297296297297298298299299298299300298297298298298294298298297297297295295295294294294295294295295296295294999297294295294294294295296295296296297297297298297298298300299300299299299299298299298297298298298299299296298298297297298297296297298298297298298298298299298297298299300300300301302300302299303303303303299303300299299298298299298298297297296296297298298296296296296296297296297298297298298299300300299300296298298298298298298298297300300301299299300300301302303302301302303302302301301301302301301299299299298301300297299299300300299299298298300301299300299301300302301302303301302302302302301300300300299299299299299299298300300302301301301302302303304303302303303303302302302302302302302300301302301302302302302302302300302302302303303302301301301302301301301302301301302301301301302302302302301302301301301301300301301301301301302300302303303303303304303303303303303302302302302302302302302302302302301302302302301300299300300300299299299300299300299298298298298299300301300299299299301300300300300300300301301301301300300300300300300300300300300299299300300300300300301300300300299300299299299300300299299299299299300300300300300301300300300300300300299300299299298298298298298298297298297297297298298298298298298299298298298298298298298299298298299299298299298298298299299299298298299298299299299299299298298298298298298298299298298298298298298297297296296296296296297296297296296296296295295295295295294294295295295295295295295295295295295295295294294294293293292292292291291291290290290290290290290290290291291290291291291291291291292292293293293294294294295295295295295296296296296296295296295295295295296296296296296296296297296296297297297296296297297297296296296295295295294294293293292 293293294296297298999999999999999999999999999999999999999999999999999999999999999999999999999999999999296297296295295296297298298299299300300300300300300300300300300299299300300300300300301300299299300300300300300300299299300299299300299298298298299298297297298299298299298299299299298299299299299298299299299298297297296296297296296295295296295295296295295295296296297297297297297297297297298297298297298296295298298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294293999999293292293293291291291293291292292291293294293293293293293293293293294294294294294294293294293294294294295295294293294293293293294295295294294295295294295296297296297297298297298298300300299299299298298297298297296297297297297295296295294295295295296294295294294999293294294295295294293294295296296298298299299300300298299300298299299299299299298299298297297298298297297296296298297295296297296296301300298298296297297297298299300300300300301300302301302300303303303304303303299299299298298298298298298298298298297296296296297297296297297297297298299300300300299300300299300298298299299299300299301299298299299300300301302302301301299301303301301302302301301301299299299298300297299298299300300299299299299300299301301301304303300299303302301303302301301300301301299299299299300300299299300299301301301302302302302301302301302303301302301301301302300301301301301302303302302302303301303303303302302302300301301301300301303304302302302302300302302302301301301300301301302301302301302302302302301301302303303303303303304303302302301302303302302302303302302302301301301301300300300300299299300300299300299298299299299298299300299300300300301299301300300300300300301300302301300301300300301301301300300300300299300299300300299300300300300301300299299299299299299299300299299299299299300300300301301301300300300300300300300299299299298298298298298297297297298298298298299299299298298299298298297297297298298298298298298298298299299299298298299298299299299298299298299299298298297297297298297298298297298298297298297297296296296296296296296296295296295295295295295295294294294294295295295295295294294295294294294294294294293293293293292292291291290290290290290290290290290290290290291291291291291291291292292292292292293294294294294295295295295296295296296296295295295295296295295296295296296296296297296297297296297296296296297297296296296296295295294294294293293 294293296295299299307999999999999999999999999999999999999999999999999999999999999999999999999999999999296297296295296296297298299298299299299300301301300300300300300300300300300299300300300300300301300300300300300300300299299300299299298298297298298298297296298298298297298298299298299299299298299298298299299298298298297296296296296295295295295295295295295295295296296297296297297297298298297297297297297295295298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295999999294293291291291291290291290292291292291292292293293293293293293293293293294294295295294294294294294294295294294294294294294293294293294294294294295295295296296296296297298294298298296299300300298298298299298297297296297297297298297297297296296295295295295295296296294295294295294294293294294293294296296298298298298299298299300300300300299299298299299297297297296299299299298298297298297294296293292301301301300299297298297297298299299299300300302302301302302302301302302303304301301298298298296298297297298298298297297296296296296296296296298298295298299300299300300300300300300300299298299300301300301299299299299300301301301302301301301302302302301302302302301301299299299299299298298298298300300299300298297298300301303302304300300300302302300302302302303300299300299298300299301301300300300301301301301302302302302302302301301303302302302302301301301300301300301301302302303303303302301303302302302301301301302302301302302302301301301302303302302302301301300300302302302302302302302302303301302302301302303303302302301302302302301302302302302302302302302302302301301300301300300298300299299300300300298298298299299298300300300300299300301300300300300300299300301301301300300301300300300301300300300300299299300299299299300300300300300300299299299299299299299300300300300299299300300301301300301300300301299300300300300299299298298297298298297298298298298298298298299298298298297298297297297296297297297298297298298298298298299298298298299299299299299299299299299298298297298298298298298297297297297298297297297297296296296296296296296295295295295295295295294295294294294294295295295295295294294294294294294294294293293293293293292292291291291290290290290290290290290290290290290290291291291291291292292292292293293293294294294294295295294295295295295295295295295295295295295295295295295295296296296296296296296296297296296296296296296296295295295294294293293 291296297300300299303302999999999999999999999999999999999999999999999999999999999999999999999999999999296296296294295296296297298299299299299300300300300300300300300300299299299300300300300299299300300300301300300300299300299298298298297297297999999299298297297297297297297298298298299299298299298298298298298297297297297297297296296296295295295295295295295295295296296296297296297298298298298299298296295294297299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302999296296293292291291292291290291291290291292293292293293293293293294293293293293294294295294294294294294294295295294294294294294294294294294294294294294294294295295296296296297297297298298298298298297300301300300298298297297297297297298298297296296295295295296295294294292999295297295292293294294293293293294295295296298298297299299299300300300300299299299298298298298296297298297298299298301295297295297297300301302298300298299296297297299299299301300301301301302303302302302302301300301300299299298298299299298296296297298297297296295295296296297298298298298299300300299300299300302302302299299300301300299300299300300301301300301300302301302301301301302302302301301301300300300300299299299299299300299299300300300299300300300301302302300299301301302303303302301300301299299299299299299300300299300300300301301301301301302302301301301301301302301302302302302301300301302301302302303302303302302302302302302302302301302301302301301302301300301301302303302302301301301300301302301302302302302302303302301301301301303302301302301301301301302302302302302302302302302302302301301301300301300300301301299299299300300299298298299299299300301301300299300300300300300300300300300301301300300301301301300300300300300300299299299299299299299300300300299300300299299299299299299299299299299300300300300300300300300300299300300299299300300299298299298297297298298298298298297298298298298298298298298297297297296296296296296296297297297298298298298298298298298298298299298298298298298299298298298298298298298298298297297297297297297297297296296296295295295295295295295295295295295294293293294293294294294294294294293294294293294294294294293293293292292292291291291290290290290290290290290290289290290290290290291291291291291292292292292293293293294294294294294294295295295295295295295294294294294294294294295294295295295295296296296296296296296296296296296296296295295295294294293292 292296298299301299303999999999999999999999999999999999999999999999999999999999999999999999999999999999296296295294295295296296297299299299299299299300301301301301300300299299299300299299299300300299299300300299299299299298298298299298297295999999999999295298297297298297298298299299298298298298297298298298298297296297297296296296296295295295295295295295295297296296296296296297297297297297297298296294297296295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302298296295292292292292292292292292292291293293293294294294293296293294293294293294294294294295295295295295295296294294294294294294294294294294294294294295296296296296296296297296297297297297297298298298298296297297297296296295296297298298296296296295294295295294295294293292293295293294293292293293294293294294295294295298298298300300300300300300301300299299298298297297298298299298297298296298295295297296299300301300299300298298297298299300300302301301301301302302302300302302302301300299298297297298298298295295295296296297297298296297296296297298298298298299300300300299299300300302299299301300300300299299300300300299300301301301301301302301301301300301301301302301301300300301300300300300300302298299300301302301300300300301299300300299299301302304304303302302300299296298298299299299299299299299300301300300301302302301302301301301301301302301301301301301301301301300301302302303303303303303303304304303302302302302302303302301302302301301301303302302301301301301301302301303302301301301301303302302301302302303302301301302302301301301302302302302302301302302301302301300301300299299301300299299299299299299299300299299299300300300299299299300300300300300300300299300300300300301301301301301300301300300300300299299298298299300299299299299299299299299299298299299299299299299300300300300300299299300300300300299300300300299298298298298298298298298298298298298298298298298298298297297297296296296295296296295296297297297298298298298298298298298298298298298298298298299298298298298298298298298298298298298297297297297297297296296295295295295295295295295295294294294293294294294293294294294294294293293294293293293293293293293292292292292291291291290290290290290290290290290290290290290291291291291291291291292292292292292293293293293294294294294294294294294294295294293294294294294294294295294294295295295295295295295296296296296296296296295295295295295294294293292 300302301297298298297298999999999999999999999999999999999999999999999999999999999999999999999999999999296295294293294295295296297298299299299300300300300300300300301300299299299299299299299300299299300300299300300299299298298299298298297295298999999999295298298297298298297299299299299299299299298298298298298297297296296296297296295295296295295295296296296295296296296297296297297296296296296296295295297297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297297296293292292293293293292293295294292293294293294295292293295296294294295295294294295295295295295295295295295294295295295294294293294294294294295295296296296296297297297297297296296297296299299299297296296296296295296296296297297297295296296295294295294295295293292290294296294294295294294293292292293294295296296297299299299300299301299299300300299298298298297297297298298299298297295294296295295294297298297297297298297299298299299299300301302302301300302302300299299302301300300299298297298298297297297296296296297297297297296296297297296297298298299299299300300299298300302300299300300302301299300300300301300300301301301301300301301300301300301300300302302302302300300301300300299299299300299301300300300301300300300300302300300300300301299302301303302301300298298298298299298299298298299298298300300300301300301301301301301301300301301301301302302302301301301300301302302302303303303303303304304303302302302302302302303301300301303302302302301302301301301301301301301301302301301302302302302301301302303304303303302301302303301302302302302302302302302302302301301300300300301301300300299298298298299298298299298298299299299298299299299299299300300300300300300300299300300300301301301301301301301300300300299299299299299299300299299299299299299299299299299299299299299299299299300300299299300300299300300300300299299299298298298298298298298298298298298298298298298298298297297296296296295295295295295296296296297297298298298298298298298298298298298298298299298298298298299299298298298298298298298297297298298297297297296296295295295294294294295295295294294294295295294294294293294294293293293293293294293293293293293293292293292292291291290290290290290290290290290290290290290290291291291291291291291291291292292293293293293293293294294294294294294294294294294293293293293293293294294294294295295295295295296296296296296296296296295295295294294294294294293292 298298301301297298298299300999999999999999999999999999999999999999999999999999999999999999999999999295295294294293293295296296296297298299299299300300300300300300300300299299299299299299299301300300300301301300299299299299299299299299298298298298999298297298298298298299298298298299299298298299299299298298297297297296296296295296295296295295295296296295296295295294295296296296296295294295293292294295297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298296293292293293294293293296294293292294293293293294295294294294295294293294294296296296296295295295294294294295295294295294294294294294294295295295296296296296297297297297298298298296297299298297297298297296297297297297296295296293296296295295294294294294292294296294296296297294295295295293293293293294295295297297297298297298299300298297300300299298299298297297297297297299295296293295295295294294293293297295295298299299298298300301301301301302300300301301300299298301303300300299298298298298297297296297296296296296297296296297296297296298298298299299300300300298299301303305299300301301300299299299300301301300301301300300300301302300300300300300301301302301301301301301298300299299299301301301301300300300300300300300301299298298300301299300302303301300298297297297297299299299298300299299298299300300299301301301301302301302301300302301302301301301301301301301301302302302303303304303303304304302302302302301301301302303301301301300302302302301301301302302301301303302302301301302303301301302302302302301302301300301301301301302302302302302302302302303303302302302301301301303301300300300299299299299298299299299298298299298299299299300299300300300300299300299300300300300300301301301301301300300300300300299299299298299299299299299299299299299299299299299300300299299299298300300300299299300299300300300300300299299298298298298298298297298298298298298298298298298297297296296295295295294294295295295296296296297297298297298298298298298298298298297298298298298299298299299298298298299298298298297297297298297297297296295294295294294294294293294294294294294295294294294294293293293293293293292292293293293293293293293292292292291291290290290290290290290290290290290291290290290290290291291291291292291292292292292293293293293293293293293293294294294294294294293293293293293293293294294294294295295295295295296296296296296296296295295295294294294294293292291 295293298298295298300299299302999999999999999999999999999999999999999999999999999999999999999999999999296296294293294295295296297297297298299299300300300300300299299299299299299299299299300300300300300301299300300300300300300299299299298298297297298297297298298298298298298298298298298298298299299299299298297297296296297296296296296296296296296295295298298295295294295296295295295294293294295294294294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295299299295293293293294295295295294293294294293293294294294293294294295296295295296297296296296296295294294294294295295295295294294294295294294295295295296296296296297296297297297297298298296298297297297297296297296296297296295294999292294295294295295294293292296297295295294294296296295294294293292293294294295296297296298297297297299299298301300300300299299299298298297297297296296296295297296295294294293294295297298300300300299299300300301302301302301301301299299298299301302301300300299299299298296297297296295297296295296297296298296296297297297298298299298297297299299302300300300298299298300298299299300301300299300301300301300301301301300299300300302300301302302301301302299299299298298299301301300300300300300299299300300299300299298302299298301301299301300299300297297301301301300300298298299299300300301301301302302301302302302303303303302301301301301301301301302302302302302302302302302303302301302302302301301301302301300302299301301301301301300300300301301300302301301301301302302302302302302300300301302301301301301301301301300300301301301302301302302303302301301301301301298300300299299299299299299299299299299298299299300299299299300300301300301300300300300300300301300301301301301300300300300300300299299298298299299299299299299300299299299299299299300300299299299299299299299299299299300300300299299299299298298298298298298298298298298298298298298298298297296296296295295295295294295294295295295296296297297297297297297297298298298298298298298298298298299298299299298298298298298298297297297297298298296296295295295294294294294293294294294294294294294294294294293292293292293292293293293292292293293293293293292292292291291290290290289290290291290290290290290290290290290291290290290291291292292291291292292292292293293293293293293293294294293293293293293293293293293293293294294294295295295295295295295296296296296295295295295294294293293292292291 298296297298297299298299300300299999999999999999999999999999999999999999999999999999999999999999999999298297295293293294295295296296297298298299299299300299299299299299299298299299299299300300300300301301300299300300300300299299299299299298297299298298297298298297298297298298298298298298297298298298298298297297297297297297296296296295295295295295298297297294294296295295295295294293293293293293295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293293296297295295294293293292293295295295293293294294295294295294295294295294295295295295296296296296296296295295295294295295295294295294294295294295294295295295295296296296297297297297297296298297297297297297296297296297296296295294294294292999293294294295295294293293292295293294295295296296295293294293293293294294296295296298298297297299299300300300300300300301300299298299298297298296297297296294294293296294295297297299299298301299298299300300300301300301301301300301299299302301301300300299299298299298297298297296297297297297297298297297297296297297298298298298298298299297299300300300301298300299299300300299300301300300300301300301300301301301301300301301301301301301302302302302300300299298299299300300300300300299300300299299302300301300297299299298301301300298297297296298298300299297298298298298300300300299300301301301302301302301302302303303302302301302301301301301301302302302302303303303302303302302301301301301301302301300300301301300301302301301300300300301301301301301301301302301301301301301302301301301302302301301301301302301301301301302301302302302302301302300300301300301300300299300300300299299298299299299299299299300299300300300300301300301300301301301301300301301301301300301300300300300300300299299299298298299299299299299299299300300299299299299299299299299299299299299299299299299300300300299299299299299299298298298298297297298298298298298298298297297296296295295295294294294294295294294295295296296297296296296297297297297297298298298298298298298298298298297297298297298298297297297297297297297296295295294295293294293293293294294293293293293294294294293293293292292293293292292292292292292292292292292292291291291291290290290290289289290290290290290290290290290290290289290290290291291291291291291292292292292292293292293293293293293293293292293293293293293293293293294294294295295295295295295295296295296295295295295294294294293292291291291 299297299297298300298298298299296999999999999999999999999999999999999999999999999999999999999999999999298297295293293294294294295296297297298298299299299299299299299299299298298299299299299299300300301300300299300299300299299299300299299298298299299299299299298298298298298298298298298298298298298298297297296298297297297296296296295295295295293297297295294293293294293293294294294293293294291292999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293296298297296294293292292293294294295296294295295296296296295295294294294295295294295295295296296296296296296295296294294295295295295295295295295295295294295295295296296297297298298297297297298297297297297297297297297297297295295294294294294999288291293293293293293293293294295295296296295296295295294295294294294294295296297298298299298299300300302301302301301300300299299298299298297297297297295293295294294296295295297299298299300300298299299299301301301301301301300298298299301301300300299299299299299298298298297297297297297297298298297298297297297297298298299298298299299297295300300300299299299299299300299300301301301301300301301301301301301301301301301301302301301299302301302302301300300299300299299299300300299299298299299300300299300299299300300303302301300297298296297297298298296297298298298299300300300300300300301303302302303303302303302303302303302301301302302302302302302302302303303303302302302301301301301302302302301301301300301302300301302301302301301300300301301301301301301301301300301301301301301301302301301302301301302301301301301302302302301301302301301301301301300301301300300300300300300299299298299299299299300299300299300300300301301301301301300300300300301301301301301301300300300300299299299298298298298298299299299299299299299299299299299299299300299299299299299299299299299299299299299299299299299299298298298298298298298298298298298298298298297296296296295295295294294294294294294295295295295296296296296296296296296297297296297297297297298297298297297297297297298297297297297297297297297296295295294294294293294293293293293293294294293294293294293293293293292293293292292292292292291292292292292292292291291290290290290290289289289289289290289289290290290290290289289289290290291291291291291291292291292292292292292292292292292292292292292292292292293292293293294294294294294294294295295295295295295295295295294294294293293292291291291291 301298300301299300300299299299296298999999999999999999999999999999999999999999999999999999999999999999297296295294294294294295296296297297298298298299299299298298299299299298298299299297299298299301299300300300300300300300300299300299298298298299299300299299298298298298298298298298298298298298298298296297298297298297297298296297297297295294294297293293293292292292292293293294295293291292291294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294296298295292291292293294294295294294295295295296295295295295295293294294294295296297296296296296296296296296295295295295295295295296295295295295295294295295295296296297298298296297297297296296296297297297298297297296295295294293293293289290291292293294295293292292293294296296295296296294294293294294294293294295295297297296299299299299300301302301302302300300300299299299297298297297296296295295295297298296296297297298299300300298298299299300300302301301300300298299298301302300300299299299299299299298298297297297297297297298298299298297298299298298298298298298298298298298298301299298300299298299300299301301301300300301301301300301301301301301301301301301301301301301301301301301301301300300300300299299300299298298298298298298297297298298300300303301301301298297297299298298296297297298299298299300300300300300300302302302301301301302302302302302302302302302302302302303302302302302304303303302302302302302302301301301301300300300300300300301301301302302303302300301301300300300301301300301300301300301301301301300301302302301301301301301301301302302301301301302302301301301300300300300301300300300300300300299299299299299299299300300300300300301301301301301301300300300300300300301301300300300299299299299299298298298298298298299299299299299299299300300300299299299299299299300299299299299299299299299299299299299299299298298298298298298298298298298298298298298297297296295295295295295295294294294294294294295295295295296295295295296296296296296296296296296296297297297297297297297297297297297297297297296296295295295294294294293293293293293293293293294294293293294293293293293293293292292292292292291291291292292291292291291291290290290290289289289287288289289289289289289290290290289289289290290290290291291291291291291291292291291292292292292292292292292292292292292292292293293293293294294294294294294295295295295295295295295295294294293293293292291291291290 300299300300300299299300298299298299301999999999999999999999999999999999999999999999999999999999999999298297296293294294295295296296296296297297297298298299299298298299299299299300300299296297299300299301300300300300300300300299299300300298300300299299299299299298298298298298298298299298297297297297296297297297298298297297296297297295297296293294294292291290292293293294292294295293291292292999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298299293296293291290291293293295295294294294295296296295294295295295295293293294294295296297298297297297296296297295296295295295295295295295296295295295295295295296297297297297297298298298296296296296296297297296297297297296295294293294293291291290289290293293293294291293293295295296296297296295294294294294294294296295296297298297299300301302302302301301301302301300300300299299299298298297295295294295295295294294295296296297297297299299299299299300300301302301300300299299300302302299300300300300299299299298298298297297297297298298299299298299299298299298298298299298299298298298297299300299299299299299301300302301301300301300300300300300300301300300301300300300301301302302302300300301302301300300299300300299298298299298297296298297297298298299299302302298301300302298297297298299297297297298298299299300300300300301302301301302301301301302302301302302301301302302302302303302302302302302303303304303303302302302302301301301301301301301301300301301301302302302302301301300300300300299301301300299299299300300300300300300301301301301301301300300301301302302302302302302303303301301301300301301301300301300300300300299299299299299299299300300300300301301301301301301301300300300300300300300300300300299299299299299299298298298299298298298298299299299299299300300300300300300299299300300299299299299299299299299299300299298298298298298298298298298298298298298298298298298297297296296295295294294295294294294294294294295295294295295295295295295296295295296296296296296296297296297297296296297297297297297296296295295295295294294294293293293293293293293293293293293293293293293293294293293293292292292292292291291291291291291291290291290290290290290290289289290288288289289289289289290290289289289289289289290290290290291291291291291291291292292292292292291292292292292291291291292292292292292293293294294294294294294294295295295295295295295294294293293292292291291291290290 301300300299300298298298299299300300300999999999999999999999999999999999999999999999999999999999999999298297296294293295294295297296295296296297298297297298299298297298298300301300299298999298299300300301300301300300300300300299299299300300300300300299299299298298298298297297297298298298297297297297296297297297297297297296297297296295295296294295295291290291292291292291293293293290294294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294297294291290288289292294296293294295293294295295295296295295295295295294294295296296296297296296296296296295296296296296296295295295295294295295295295295295295296297297297297297297295296297295296296296297296296297296296295295294294294293291291290290292291292293293291296295293293294295296295294296294294295292294294294293295296297300300301301301301302302303302301301301300299299299299297299298296295295296295295295297296296297299298298298298299299299300300300300301300300301300302300300299300300300299299298298299298298298299299299299299299299299299299299299299297299300299300299299299299300299300299299299301301303301301302302301301301300301300301300301301300301301300302301302301302300301301301302301299300300298299298298298298298298299298298299299299300300300300299299299297297298300297298299300300300300299300301300301302302301300300301301302302302302302301302302302301301302302302301301301302303303303303303302302301301301302301301301302302301301300300301301301302301300300299299299301300300299299299299298298299299298298299300300300300301300301301302302301301302302302302302301301300300300300301301301301301300300300299299299299299300300300300300300301301301301300300300301301301300300300300300300299299299299299298298298298298298298299299299299299299299300300300300299299299300300299300300300299300299299299299299299299298298298298298298298298298298298298298298297297297297296296295294294295294294294294294293292293294294294294294294295294295295295295295295295296296295296296296296296296296296296295295295295295294294294293293293293293292293293293292293292293292293293293293293293292292292291291291290290290290290290290290290290289289289289289289289289290288288288288288288288289289289289289289289289289290290290290290290291291291291291291291291291291291291291291291291291291291291292292292293294294293294294294294294294294294294294294294293293292292291291290290290290 302301299299300299300298299300300302302999999999999999999999999999999999999999999999999999999999999999298297296294294294294295296296296296296297298297297297298298298297296299299298300298298298299300300300300300300300300300300299299298299299299300300299299298298297296297297297297298298298298298297296296296296296297298296295295294294294295296296297293294291292293294292292292294293999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289291288287288291294293292293293295294295295294295295295294294295296295296296295297297296296296295295295296296296296296296295295294294294295294295295295295296296297297297297296297297296296296294295296296296296296296295295295294293293292290291290290292293292293293293293294294295296295296295293295294295293292293293294295296297300299299300300300301302301300300300300300300300299300299299298296294297296295295296294296297299295295296297298299299299299302299300301300299301301301302300300300299299299298298298299298298298299300300299299300299300299300299298299299299299298299297300299298298298299299299300299301305301301302301301301301300300301301302301300300300300300301301301301301301300301301301300300299298299299299298297298299300299299299300299300300300299299298297298296297298297297298298299301301300300300300299302302302300300300301301301302302302301302301301301300300301301301301301301300302302303303301301301301301300301300300300300301300300300300300301301301301302300299298299298299299299298298298298298298298298298299299300299300301301301302301301301301301301302302302302301301300300300300301301301301301301301300300299299299300300300300300301300300301301300300301301301301300300300300300300299299299299299298298298298298298298299299299299299300298299299298299299299299299299299299299299299299299299299299298298298298298298298298298298298298298298297297297298297297296296295295294294294293294294293294293293294293294294294294294294294294294294295295295295295295295295295295295295295295295295295294295294294293293293293293292292292292292292292292292293293293292292292293292292291291291290290290290289289288288288288288288288288288288288288289288287287287288288288288288288288288289289289288289289289289289290290290291290290291291291291291291291291291290290290290290291291291291292292293293293293294294294293293294294294293293293293293293292292291291291290290290290 301300300299300299299300299299300301307999999999999999999999999999999999999999999999999999999999999999297296295295294295294295296297296296297297296297297297298298299298297999298299300297299299301301301300301301300300300300300300300299298299300300300299299299298296298297297297297298298298298298298297296296296296296296296295293293294297295295296291288288290291292294294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287290287288293293293293294293294295295294295295295294295295296295296295295295295295295297296296296295296295295296296296296295295295294293294295295295295296296297297298297296295295295295295294295295296296295295295294294294295294292291291290290291290292293292293293293293294294297298295294296295293295293292292293293293295295298298299299299299299301300300301300301300300299300300300298298296296298296296296296295296295296296296297296296296298301303303299300300300300300300300300299300299299299299298298299298298298299299300299299300300300300299299299299299300298298299299298299299299299299299299299300300300301302301301301300300301300300301300301301301301301301300300301301300301301301301300299299301300300297298298298297299299300301301300300299299299299299299298298298297295297297297297298299300300301299299299299300301301300300301301301302301301301301301302301300301301301301301301301300300300300302302301301301301301300301300300300300300300300300300300299299300299300299299298299298298299298298298299299299298298298299299300300300301301301301302301301301301301301301302301301301300300299300300301301301301301301301300300300300300300300300300300300300300300300300300300300300300300300300300300300300299299299299299298298298298298299299299299299299298298298298299299299299299299299299299299299299299299299299299299298298298298298298297297297298298298298298297297298297297296296295294294294294293293294293293293293293293293293293294294294294294294294294294294294295294295294294295295294294294293293293293294293293293293293292292292292292292292292292292292292293292292292292292292291291290290289289289288288287287287287287287287287286287287287287287287287287287287287288287287288288288288288288288288288288289289290290290290290290291290291291291290290290290290290290290290291291291292292292292293293293293294293293293293293293293293293292292292291291291290290290290290290 303301301302301299299301300299300301300999999999999999999999999999999999999999999999999999999999999999297297296295295295294292296297297297297297297297298298298298299299297298299300300297300300301300302301301301301301301300300301300300300300300301300299299298297296297296297297298298299298298298297296296296295295295296295295293293293294294294294290294294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290292293289292293293293293294294295296295295295295295295296295295296296296295295295296296297297297296295295295295295295295295295295294294295295296295295295296296296297296295294295294294295295295295296295295295294294293293293293292290289288289292290291292291292292293293293296294296296295295295293293294293293293292294295296297297299300298299300301301301301301301301301300299299299298298296296296297297297298297297297298298298297297297300301301301300300300300300299300300300300301300299299299298299299298299299298299299299300300300300300300299299298299299299300299298300299299299300299299298299299299300300303303302301300301301301301301302301301301302302301301301301300301300301301301301301299299301301300298298298299299299300300301301301300300300301299300300299299298299296297296297300300299299300300299298300299301301300300300300301301302302301302302302302302302302301301301301301301300299300299300301301301300300300300301299300300300300300300300301300300299299299300301299298297298299298298299298298299299298299299300299298301301301301301301301301301302301301301301301301301301301300300301301301301301302302301301301300301301301300301301300301301301300301300300300300301300300300300300300300300300300299299298298298298298298298298298298299299299298298298299299299299299299299300300300299299299299299299299298298298298298297297297297297297297298298298298297297297297297296296295294294294293293293294294293293293293293293293293293293293293293294294294294294294294294294293293294294293293293293293293293292292292292292292292292292292292292292292292292292292292293292292292292291291291290289288288288287287287286286286286286286286286286286286286286286287286287287287287287288288288288288288288288288289289289289290290290290290291291290290290290291290291291290290290290290291291291291291292292293293293293294294293294293293293293293292292292291291291291291290290290290290 300299301301302301300302300299300300299300999999999999999999999999999999999999999999999999999999999999999298295296295294293999295297297297297297297297298298298299298298299299301299300299299301302302302302302302301301300301301300300300300300301301301300299298297296296296296297298298298296297297297296295295295294294295296295294294293295295292291999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290294290291292292292293294295295296295297296297296294295295296294295298297296295296296296295295295296296295295295295295295295296295295295295295295294294295295295296296296295294295294293294295295295295294295295294293293292291293292288289290291291290290291291292292293294295293295296296295296294295294294293292292293293294296297298299300300299301302302301300302301301301300300300299299298298297296298297298297297298298297298298298298298300302301299299300300300300299300302301300300301299299299299300300300301300299299299299299299300299300300299299298297299299298299299299299300300300300299299299299299300300300301303301301301302301301302302302301302301303302302302302301301300302302302302302300300300301301300300299300299299300301301302301301302301301301300299299299300300299299298298299299299299301299299299300300300300300301301301301301301302303301301302303302303301301301302302300300301301301300300301302301301300300300299299299299300300300301301301300300299299301301302299298299299299299299299299298299299300299300301299300301301300301301301301301301301301301301301301301301301301301301301301301301302301301302302302302302302302302301301301301301301300301300300301301301301300300300300300300300300300299299298298298298298298299299299299299299299299298299299299299299299300300301300300300300300299299299299299299298298298297297297297297297298298299298297298297297297297296296295295294293293293293293293293293293292293293293293293293293293293294293293293293293294294293293293293293293293293293292292292292292292292292292293292292292292292291292292292292291291291292292292292291291290289289288288287286286286286285285286286285285285285286286286286286286286286287287287287287288287288288288288288288288289289289289289290290290290290290290290290290290290290290290290290290290290291291291292292292293292293293293293293293293293292292292292291291291290290290290290290290290 999999302303304302301303301299299300300301301301999999999999999999999999999999999999999999999999999999999999999295296295295295295296297297297297298298298297298298299299299299300300301300299301302302302302302302301301302301301300300301301300300301300300298298298298297297297297296296296296298297296296295295296295295297296293293295297298298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291291290291294293293294295296296296298296296296296295295296297298299298298296297297298297295295295296296294295295295295295295295295294294295295294295295295294295296295295295294294294293295295295295295295294294293293292293293292289290291292291291290292291292293293293293295295295297298296295294292292291292291291290293293296299299300300300300301302302302302302300301301301300299299299299298297296298298297298298298298298299299298301300301301300300301301300300299298300299299300300300299300300300301300301300300300300300300299300300300300299299298298299299299299300300299299300299300299299299300300299300301301300302301302302301300302301301301302302303302302303302302301301302301303303302300300300299301300300300300300300300301301301302301301301301300300300299299300301301298300299299299300299301298298298300299299299300300300300301301301301301301300301302301302302301300300301301300301300299300300301301301300299299298299298299299299299300301301301300300300300301300301301299299299299299299300299298298299299299300301301301301302301301302302302302301301302301300301301301301301301301301301301302301301301301301302302302302301301302302301302302301301300301300300301301301301300300300300300300300299299299298298298298298298299299299299299299298299299298298299299300300300300300300300300300300300300299299299298299298298297298297297298297297298298298298298297297297297296296296295294294293293293293293293293292292292292293293293293293293293293293293293293293293293293293293293293293292293293293293293292292292292292292292292292292292291291291292291291291291292291291291291291291290290289289288287287286286286286285285285285285285286285285285286286286286286286286287286287287287287288287287288288288288288288288289289289290290290290290290290290290290290290290290290290290290290290291291291292292292293293293293293293293293292291291292291291290290290290290290290290290290 999999999305306302302302301299299299300300300301302303999999999999999999999999999999999999999999999999999999999999297296296296296296297298298298298299298298300300298298298299300300300301300302302302303303303303302302301301302301301301301301300301300300298299299298298296296296296296296296296295296297297295296296296297295292294295297300300999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290290291291292293294294296297296296296296297296296297298297298298298298298298298296296297296295296296296295295295294295295295295295294294295293294294295295294295295296294296295295294295297296296296295295295295295293294294294294293292292291291292291295291291291293292293293294295296298298297294293294291292291291292292293999297298300300300300301302301301302302300301301301300300299300299298298299299297298298299300299299302301299299298298299299297302302301301300299300300300301300301300301300302301301301301301300300301300300300300300300300300299300300298298299299299299299299299299299299299299299299299301300301300302302302302302302300301301302302303303303304302302303302302302302302302301301300300300300302302300301300301301300301302302301301301301301300300300300299299300300301300300300300301300298299299299299301300299300301300300301300300301301301302301301302300301300300301300300300300299299300300300300300296297298298300300300300300299300300300300300299300301300300298299299299299299299299299298299299300301301300300301302302302302303302302302302302303302301302303303302302301301301301302302302301302302302302303302301301302302301301301301301301301301300302301301301300300300300301300299299299299298298298299298298299299299299299299299299299299299299300300300300300301300300300300299299299299300299299298298298298298297297297297297297298298298297297297297297297296296295294294294293293293293293293293292292293293293293293293293293293293293293293293293293293293293293292292292292292292293293292292292292292292292292292292292291291291291291291291291291291291291291290290290290289288287287286286286285285285285285285285285285285285285285286285285286286286286286286287287287287288288288288288288288288288288289289289289289289289289289289289289290289289289290290290290290290290290291291292292292292292293293292292292292292291291290290290290290290289289289289289289 999999999304305303303302300301299301300300301302303304302999999999999999999999999999999999999999999999999999999999297296296296298297296298298298297299300299299297300298299300300301301301301301301302302302303302303303302302302302301302300301300300300299298299300299298297296295296296296296296296296296297296295295294294296295295296298299297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288290291291292294295295297296296296297298296295298299297297298298298299298298297296296296296293297296295296295295295295294294294293294295295294294294294294295295295296295296296296296296296295295295295295295294294294294293293292291292292291293293292293290291293293293296295294296297298295292295293292293292291292999999999999298299299299298300300300300301302302300301300301300299300299300299297300299298299299300300301301300300302302301300300302300300299300300300301301301301301301301302301301300301301301301301301301300299301302301300300300299299298300299299299298298299299299299299299298298298299299300299299300300301301302302301301301302302301300301302303303303303303302301301301302302302301300300301301302301301301301301301301301301300301301301300300299299299299300299298300300300300300302299298300298300300300298298299299299300300298299300299300301302300302300301300300300299299298299299298299298297299298297297298298298299299299299299299301301300299299300300300300301299300300299300300298299299299300300300300300300300301302301302302301301302301301302301302302302302302301301301300301301301302302302303302302302302301302301301301301301301301301301301301301301300300300300300300300300299299299299299298298299298299299299299299299299299299299299300299300300300300300301300300300300300300299299299299299299298297298297297297297297297297297297297297297297297297296296295295294294294293293293293292292292292292292292292292292292293293293293292293292293293293293293293292293292292292291291292292292292292291292292292292292291291291291291291290291291291291291290290290290290289289288288287286286285285285285285284284284284284284284285285285285285285285286286286286286286287287287287288287288288288288288288288288289289289289289289289289289289289289289289289289290289289290290290290291291291291292292292292292292292292292291291291291290289289289289289289289289289289 999999999999304304304303301301301302300301301302302302302302999999999999999999999999999999999999999999999999999999999296296296297298298298298297299299299299298301300298300300300301301302302301302302302302302303303303303302302302302302301300300299298298299299299299297298296296296297297297296297296297296296295294296297296294295295299301999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290292291293294295296295295294295296297296298298299299296295296296299298298297297296296296298297296296295295294294294294294294294294295295294294294293294295295294295295296296296296296296297296296296296295295295294293292290288290291291292293293292293292291292292293295296295297298295293293293292292292292291292999999999297299298297299299299299300300300302302302301301301300300300299299299300298300299300299299301302301301300300300301300300301299300299301299299301300301303302301301300301302302301301302302301300301301302302301301300300300299298299299299299299297299299299299298298299299299299299300300300300302300302302302302302301301302302302301301302303303303303303302302301301302301303302300300301303302300301301301301302302301301300301301301300301300300299299299300298300300300299300299302301300299300300298299299300300299299300299299296299300300299301299300300300299299299299298299300299299297298300299297298299297298296298299299299301301301299299300300299298299299300299300300300300299300300299300300299299300300301302301302302302301300300301301301301302301301301301301301300300301301302302302302302302302301301301302301301301301301301301301301301301301301300300300300300300300300299299299299299299299299299299299299299300299299300300300300300300300301300300300301301300300300300299299299299298299299298298297297297297297297297297297297297297296296296296296296295294294294293293292292292292292292292292292292292292292292292293293293292293293293293293292293293293292292292292291291291291291292292291292292292292292292291291291291290290290290291291291290290290290290289288288287287287286285285284284284284284284284284284284285285285285285285285285285286286286286287287287287287287287287287288288288288288288289288289289288288289288289289289289289289289290289289290290290290291291291291291291291292291291291291291291290290290290290289289289289288288288288289 999999999999999304303298300999299300300301301300301302302300301999999999999999999999999999999999999999999999999999999999296295294297296296296297297298298299299299299299300300300301301301301301301302301301301302302302302301301301301301300299299299298298298298298298297296296295295296298296296295295296296295294294294293293293294295295297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292292293294294294294294293294295299297299296298297296295296295295295297297296296295295297297297296295295294294294294294294294294294295294294294294294293293294294295295295295295296296297296296296295295295295294294293292291290291291290291291290291291293292292294295294294296296293293293292290291291293294999999999999297299299299299299300299300300301300301300300301301301299301300298300301300299300299299299301301301301301300300301301302301301301299300300298302301302303303302301300301301301301301302302299301301301301301300301300300299299298299299299299299299299298298298298297299299300300299300300300300300301300302301301301301302302302302301301303303303303303303302301301301302302303302302300300302301300300300301301302301301301299300300301301300299299298299299299300300300300300299300301299299299299299299298298299300299299299299300298297300300299299300299299299297298299299298298298299299298299299299297298299297299300298299301301301302302300300299298298299298299299300300299300300299301300298299299299299299300301300301300301301301301300300301300302302302301301301301300300301301301302302302302302302302302301301301301301301301301301301301301301301301301300300300300300300300300300299299299299299299299299299299300300300300300300300300300300300301301300300300300300300300300300299299298298298298298298297297296297296297297297297297297297297296296296296295295295294294294293293293292292292291291292291291292292292292292292292292292292292293293293293293293292292292292292291291291291291291292292292292292291291291291291291291291290290290290290290290290290289289289288288288287287287286285284284284284284284283284284284284285284285285284284284285285286286286286287287287287287287287287287287288288288288288288288288288288288288288288288288289288288289289289289289289290290290291291291291291291291291291291291291290290290289289289289289289289289288288288288 999999999999999999300295999999999301301301300298300302302302301302301303999999999999999999999999999999999999999999999999296296296296296296296297297297298299299299299299299299300300300300301301301301300300301301301301301301300300300300299298298298299297297296297296295297296296295297297297297296296296297296295294293292292292292294291288999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300298295292291293291292293294293293294295295296296296296295295296296296296296296295295295295293294295295295294293293294294293293293294294294294293294294293292293294294294295295295295295294295298296296295295294294293293292291290289289288290288290289291291292293290292292293296295295293294293291291290999297295292999999999296297297295297297298297297298298300300299300300300301301300300300300300300300298300299300301301301300300300299300299300301299299300299300300301301302301301302298301301301301300301299301299301300300300300299299300298299299299299299299298298298298298298298299297298299300300300300300300300301302300301300301300301301300301301301302302301302302303302302300300300300300300299299298297300300300299300300300300300300300300299300299299300300299298299299299299299300299298298298297298298298298298298297297296298299300299299299300299300299300300297298299298297299299297299299299297297298298298299298298298298299299300300301298299299300300300300299299300300299299300301299300301300301301300299299300301301301301300301301300300300301301301301300301302302301301300300300300299301301301301301301301301301301301301302301301301301301301301301301301301301301300300300300300300300300299299299299299299299299299299299300300300299300300300300300300300301300300300300300300300300301300300299299299299298298297297296296297297297297297297297297297297296296295296295295294294294294293293293292292291291291291291292292292292292292292292292292293292293293293292293292292292293292292291291291291291291292291291291291291291291291291291290291290290290289290290290289289289289289288288287287287287286285285284284284284284283283283284284284284284285285285285284285285285286286286286286286287287287287287287287288288288288288288288288289288288289288288288288288288289289289289289289290290290290290291291291291291291290291291290290290290289289289289288288288288288288287288 999999999999999999999999999999999999999300298296999302302302302302301300302999999999999999999999999999999999999999999999297297296297297297297297297297298298299299299299298299299300300299300301301300300300300300299300300299299298298299298298297298298297297297297297297296296295297297298298297298296296296296295293292292292292292291289295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299299297294291290290290291291293293294293294295295295296295296294294295295294295294294296295295294294295296295294294294294294294293293293294295295295295294294293293294294295294295296296296295296297296295294294294293292292291290289289289290290287288288288289290291291291292292292291292293294294295291999999297295295999295295296295295294296296296297297298298299298298300300300301300299300299299300300300300298300300301300300301300301300299300299299300300300300300299301301301302299299299301302302301302301303300300300300299299300299299300299299299299299299299298297298298298298298298298297299300301300299300301301301300301299298300300301301301301301302302302301301301302301301301299298299298299299298298297299298299299300300300299300299299300301299299299300300300298300300299299300300298298297297297298298297298297298297297296297299300299298298299299299298298297298297298298297299299298298298299299299298298297298298299299300299299298300301299299300300300300300300300300301300301299299300302302302302302301300300301301302302302301300301301301301301301301301302302302302301301301300300301301301301301301301301301301301301301301301301301301301300300300301301301301301300300300300300299299299299299299299299299299299299299299299299299300300300300300300300300300300300300300300300300300300300300300299299298298298298298297297297297297296297296296296296296296296295295295295295294294294293293293292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292291291291291291291291291291290290291291291290290290290290290290289290289289289289289289289288288287287287286286285285284284284284283283283283283283283283284284284284285285285285284285286286286286286286286287287287287287287288288288288287288288288288288288288288288288288288288289289289289289289290290290290290290290290290290290291290290290289289289289289288288288288288288287287287 999999999999999999999999999999999999999300999999999999302303302302302302301301999999999999999999999999999999999999999999999296295297297297297297297297298298299299299299299299299300300299300300299299300300299299299299299298298298299298299298298298297297297298297297297296296296300299999999299297298298298297296294294295294293294294289295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298298295292291289289291291292293293294294293294296297296297296296293294294296295294295295295295294294294295295294294294294293294293293293293295295295295295294294295293293295295296295295294295294295295294293293293291291290291290289289288288289288288289289288289290291291290290293293293293291294293999999298298296295296296296295295296294296295296297297297297298297300299300300299299300300299300300300299299300301301301301301302301300300300300299299299301300300299299299299300301301300301300302302302302301303302300301300300300300300300300299299298298299299299298297299299299298298299298298298299299300299300300300300300298299300299300301301301300301300302302302301300301300301300300300300300300299299298299299299299299299300300300299298299300299300299299300300300300300300300300300300300299298297298298298298298297297297296295296298298299298299299300300298298298298299298297299299298298298299299298298298297297297298299299300299299300300300299300301301301301301301301301301300302299301303302302303302302302301301301301302303302302301301302302302301301301301301301302301301301301301301301302301301301301301301301301301301301301301301301301301300300300301301301301300300300299299299299299299299299298299299299299299299299299299299299299299299299299299300300300300300300300300300300300300300299299299299299298298298297297297296296296296296296296296296296296295295295294294294294293293293292292292292292292292291292292292292292292292292292292292292292292292292292292292292292292292291292291291291291291291291291290290290291291290290290290290289289289289289289289289289288288289288288288287287286286286285285284284284283283283282282282282283283283283284282285285285285285285285286286286286286286287287287287287287287287288288288288288288288288288288288288288288288288289289289289289289289290290290290290290290290290290290290290289289289289289289288288288288288287287287287 999999999999999999999999999999999999999299999999999304302301301302302301301300300299999999999999999999999999999999999999999295297296297297297297297298298298299299299299299299299299300299299299300299300299299300300300299298299298298298297297298298297297296297297296296298296299299999999999999298298297298297297298296297296294297297292999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297294293291290290291292293292293294295295296297295297295296295295296294297296295296295295295295295294295294293293293293294294294295294293292292296297296296296295295293295295295296295296295294295295295295294292291290288289288288288288287288287288288288288289289289290289291293292293293293292291999299298298297296295295293295296295293295296296297298297297297297296300298298299299299301300300299301301301301300301300301301302302301301301301299300300301301301299302300299301301301302301301301302302301302301303301302302301300300300300300300299298298299299299299298298296299298299298298299298299301300300300300300300298299301300300300300301300300300302301302302302302301301301301301301301301300300298299301300299299299299300300300300300300300300300300300300300301300301301300300300301301300300299299299299298298298297297297297296298299297296298299299300298298299299299299299299299298299299299299297297297298299298299298299299299299299300300300301302302302301301301302302302299299299301302302302303302302301302301302302302302303302302301303303302302302303301301301301301301301301300301301301301301301301301301301301301301301301301301301301301301300301300301301301300300299299299299299299299299299298298299299299299299299299299299299299299299299299299300300300300300300300300300299300300299299299299298298298298297297297297297296296296296296296295295295295295294294294294294293293293292292292292292291291292292292292292292292292292292292292292292292291292292292292292292292291291291290291291291291290290290290290290290290290290290290289290289289289289289289289289289289289288288288287287287286286285285285284284284283283283282282282282283283283283283284285286284285285285286286286286286286286287287287287287287287287287288288288288288288288288288288288288288288289289289289289289289290290290290290290290290290290290290290290289289289289288288288288288287287287287287287 999999999999999999999999999999999999999999999999999302302300300300301300300299299298298999999999999999999999999999999999999999296296296296296297297297298298298299298298298298298299298298298299298299299299297299299298298298298297297297298297296297295296295296295294295298295298297999999999999999300299297297298295295297300297296297292999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293292290291291290291293293292292294294294296296297294295295295295297296296295295295295295295295295294293294293293293294295293293293293292292292295290296294295294295294294295295296295295294295295295295294290291285285288288289288286286288287288287288289289289289289290292290290291291292291999999999999298297295295295295294295295296296296295296297297297298298300300297297297299298299301300300300298299302300301301302303302302302302301301299300301301301301300299299300299301301301301301301301302303302301302302302301301300300300300300299299299299298299299298298298298298297297299300298299299299299299300300300301299299299299300299300301301300302302301302301301301302302301300300302300301300300299300299300299299299299300300301300300300300300299300300300300300301299300301301301301301300300300298299299298298297297298297296296296298298297297298298299299299299298299301300299298298298299297297298299298299299300300299299299299298298299300301301302302302302302302301301299300300300299299300301300301302302302302301302301302302302302302302302303303303303303302301301301302301302301301302301301301301301301301301301301301301301301301301301301301300300300300300300300299299299299299299299299298299298298298298298298298299299299299299299299299299299299299299299300300299299299299299299300299299298298298298297297297297297296296296296296295295295295295295294294294294293293293293293292292292292291291291291291292291291291292292292292292292292292291292292292292291291291291291291290290290290290290290290290290290290290290290290289289289289289289289289289288288288288289288288288288287287286286286285285285285284284283283283283282282282282282282282282282283284284284285285285285285286286286286286286286286286287287287287287287287287287287288287287288288288288288288288288288288288288289289289289289289289289289289289289289289289288288288288288288287287287287286286286286286 999999999999999999999999999999999999999999999999999304301300297297299300300299299298300300299299999999999999999999999999999999295296296296296296297296297298297298298298298298298298298298297298298298299299299298298298299298297297296297296296295295295297295296295296295296296296293999999999999999999999999999999999999297299299296295294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288290291291291292294293292290292293294294295295294294295294294296296296295294294294294294294295293293294293293293294294293292292291290290291291291291292295296296295294295296297296294294295295294294292289999999286286287287285286287286287288288289289290290290289290291291290291291290287999999999999299297297296295293293295295295295296296295296297297298298297297299298297298299299300299299299301301302302302301304303302302302301301302300300300300301301300299300302301301301301301301301301300301302302300301301300299300299299299298298298298298299298299298298298299298297297297298298299298298298299299299299300298299299299300299300300299301301301302301301301301301301300301301301300299300300300300300300299300300300299300300300298299299300300300300300300301300301301300301300300300299299300299299299299298297297297297296296296298296295298298298298299299299298300300299299299299299298298298298298299300298299299298298300300301301302301302301300302302302302301302302302300301301300299299301300301301301301301301302303301302301302302301301302302302301303302301302301302301301301301301301301301301301301300300300300300300300300300301301301301300300300300300299299299298298299299299298299298298298298298298298298298298298298298298299298298298298299299299299299299299299299298298298298298298297298297297297296296296296295295295295295295294294294294294294294293293293293293292292292292291291291291291291291291291291291291291291291291291291291291291291291291291290290290290290290290289290290290290290290290290290290290290290289289289289289289288288288288288288288288288287287287287286286285285285285284284283283283283283282282282282282281281281282282282282283284285285285285285286286285286286286286286286286286287287286287287287287287287287287288287288288288288288288288288288288288288289288289289289289289289289288289289288288288288288288287287287286286286286286286286 999999999999999999999999999999999999999999999999999999999300999999298301300300299299300300300299299999999999999999999999999999296295295296296296296296297297298298298298298298299298298297297297299299299299299300299299299297297297297297296296295295294295294294294293295296293999999999999999999999999999999999999999999999999298295295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291291292293294294292288289291293293293294294294294294295294296297296295294294295294294294294293295294293293294293293292292291290289290290290291292293293294294295295295298297296296295294294294293292999999999999284284284284286286287287288288288289289289289288290290290290290290289999999999999999297297297295294294999295296295296295296295295296297298297297297299299299298298298299299299299300300301303302303300302302301302301300301299300301300301301300300301301300300299301301301300300301301301301301299300301300298299299299298298299299299299299298298298299299298297298298297298299299299299299299299299300299299299299300299299300301300301300301302301301301301300300300301300300298299300300300299299299300299300300300299299299300300300299301301300301301300301301300299300300299298299300299299298298297297297297296296296297297297296297298298297298298297298299299299299299298298298298298297299300300299299299299299300300300300301301302301301301301302302301302303302302301301300300301301302301301302301302303301299301303302302301301301301301301301301301301301302302301301301300301301301301300300300300300300300300300300300300300300301300300300300300300299299299298298299299298298298298298298298298298297297298298298298297298298298298298298298298298298298298298298298298298298298297297297297296296296296296296295295295295295295294294294294294294293293293293293292292292292291291291291291291291291291291291291291291291291291291291291291291291290290290290290290290290290290289289289290290289289289289289290290290290289289289289289288288288288288288288288288287287287287287286286285285285285284284284283283283283282282282282282282282281281282282282282286284285285285285285285285285285285285285286286286286286286286286286287287287287287287287287287288288288288289288288288288288288288288289289289289288288289288288288288288288288288287287287287286286286286285286286 999999999999999999999999999999999999999999999999999999999999300300999999999299298300300301300299297297999999999999999999296999999295295296296296296296296297297297298298298298298298299298297298297298298298298299299299298298297297296296296296295295295294294295295293296296294999999999999999999999999999999999999999999999999999999999294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290293292289287287289290292293293294295294294295295295296295295296295294292292294295294295294294293294293293294292292291290289289290290291292293294294295294296295297297297296296296296292291291999999999999281283282282286286286287288289289289288288289289290290290292292291290999999999999999293297296999999999999295295294294294294296296297296296297298296299297299299298298298299300300300300300302301302301302303301302300300301300300301301301301300300301302299301301301301301301301301302302302301300299300300299300299299299299299298300300300299299299300299299299298298297298299300300299299299299300300300299300300300299300300300300301301301301301301302300301300301300301300300300300301300300300300300300301301301300299300300301300299301300300301301300300301300300300300298298298299299298298298297297297296297297297296298298298298298298299299299299299300299299299298299299299299299299299299299299299298299300299301300301301303302303301302302303303303303303302302301301301302302301302302302302301302302301301300301301302302302302302301302302301301301301301301301301301301301301301301301300300300300300300300300300300300301300300300300300300300299299299299298298298298298298298298298297297297297297297297298298298297297298298298298298298298298299298298298298298298298298298297297297296296296296296296295295295295295295295294294294294294294293293293293293292292292291291291291291291291291291291291291291291291291291291290291290291290290290290290290290290290290290289289289289289289289289289289289289289289289289289289289288288288288288288288287287287287287287287286286285285285285285284284283283283282282282282282282282282282282282282282282282284286284285285285285285285285285285285285285286285285286286286286286286287287287287287287287288288288288288288288288288288288288289289289289289289288288288288288288288288288288287287287287287286286286286285285285 999999999999999999999999999999999999999999999999999999999999999299999999999299299300299300299299299298999999999999999999297999297295296296296295295295296296297297298298298298298296297297297297297298298297298299298298298297296297296296296295295294294295295295295295295295294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293292289288289289290291292293294294293294294294295295294296294295293290291294291293292292293292293292292292292291291290290289290290290294296295297297297296296296296296295296296294290999999999999999282280282281282284284284285286286287286286287288289288289290294292290289999999999999999294295999999999999999293295294294294294295294295295295298298296296297297298297298298299299300301300300300301301302303302302301302302302301301301301301300300301301302301301301301301301301301301301301301300300300299299298299299299299299299299300300300299299299299299299298299298298297299299299299299299299299301300299300300300299299300300300300299300301301301301301301301301301301300301301300300300300300301300301301301301300300300301301300299300301300300299300300300300300298298298297297298299298297297297296295296296297297297297297296297297298298299299299300300299299299298299298299299298298298298298298297297298300299299299299301302302302302302303303302302302301301301300301301301302302302302302302301301301301301301302301301302301302301301301301301301301301301301301300300301301300300300300300300300300300300300301300300300300300300299300299299299299298298298298298298298298298298298298298298297297297297298297297297297297297297298298298298298298298298298298297297298298297297297297296296296295295295295295295295295295294294294294293293293293293293293293292292291291291291291291290290290291290290290290290290291291291290290290290290290290290290290290290290289289289289289289289289288289288289289289289289289288288288288288288288288287287287287287287287287286286286286285285285285284284283283283283282282282282282282282282282282282283283283283282285285283284284284284285285285285285285285285285285285285285286286286286286286287287287287287287287287287287287287288288288288288288288288288288288288288288288288288288288287287287286286286286286286286285285285285 999999999999999999999999999999999999999999999999999999999999999298999999999300298297298298298299298298298298295298297298297297296296295295295295295295296297297297297298298298298297295297297296297297297298297298298297297297297296297296296295295293296296296296297294295297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290289289290290291292293294295295295294296296295294294294293293999999999999294293293293292293292293292291290290291292289289290292294295296297298298299298296296296296296290292288999999999999281281280281281282283282283284285284286286286286287288288290290292291289999999999999999299297999999999999999999294295295294294294293294292293296295295296295296295296297296297298298299299300300300301301302303303304304303303303302301302301301300300300300301300301301301301301302301301300301301300299299300298299298299298298298299300300300300300299299299299298298299299298297299299299299299298299299300301299300300299298299299300301300300300301302302302301301301301301302302302301300300300300300300302301301301301301301301301301300300300300299299299299300299299299299299298298298299297297297297297297297297296297297297298297298298298298298299298299299299300299299297298297298299299298299298299298298297298299299299299300300301302303302302302302301301301301300301301301302302302303303304303303302301301302301301301301301301301301301301301301301301301301301301301301300300300300300301300300300300300300300300300300300300300300300299300299299298298298298298298298297297297297297297297298297298297297297297297297297297297297297297297297297297297297297297297298298297297297297297297296296296296295295295295295295294295294294293294293293293293293293293292292292291291290290290290290290290290290290290290290290290290290290290289289289289289289289289289289289289289289289289289289288288288288288288288288288288288288288288288288288288287287286286287286286286286286286286285285284284284283283283283282282282282282282282282282282282282283283283283284284284284284284284284284284285285285285285285285285285285285285285286286286286287286287287287287287287287287287287288288287287288288288288288288288288288288288288289288287287287287286286286286285285285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999299297297297297298298298297297298297296295296296296293999999999295295295296296297297297296297298298298297298297296297297297297297297298297298298297296298297295296296294295296296296295295296293999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288290290290291292293294296294295296295297296293292292292292999999999999999999289290291291289292293293289292293292291291290292293293294296297298298299298296296296295295999999999999999999278281281281281282283283284283284285287287286286287287287289288290289287999999999999300298297295999999999999999294295295295295295293293296296293294294295296295295296298296297295297297298299299299301301301303303305304303303302303302303301301300299300301301301301301302301300301301301301301300300299300299299299299299299299300299300300300300300300300299299299298298298299299299299299299299298298298299300300301300300299299300301301300301301302301302301301302302302301301301302301301301300300300300301301301301301301301301301301301301301300300299300299299300300299300299298298298298297298296296296297298298297297298297298298297297298298299298299299299299299298299298298298299299299299299298298297297297298298299299299300300301301302302303302302302301301300300301301302302302303303304303303303301301301301301301301302301302301301302301302301301301302302302301301300301301301300300300300300300300301300300300300300300300300300300300299299299299298298298298298298298297297297297298297297297297297297297297297297297298297297297297297298297297297297297297297297297297297297296296297296295296295295295295295295295295294294293293293293293293292292292292292291291291290290290290290289289289290289289289289289289289289289290289289289289288289289289288288289288288288289289288288288288288288288288288288288288288288288288288288288287287287287286286286286286286286285285285285284284284283283283283282282282281281281281281281281282282282282283283283283284284284284284284284284284284284284285285285285284285285285285285285286286286286286286286286286287287287287287287287287287287287288288287287287287287287287287287287287287287286286286286285285285285285285284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999299999999999297298298999298298298296297999999295999999999999295294295296296297297297297298298297297297297297297297297297297298298298297297297296297298299297296296295295296296295295295296295293999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288289290291293292294295294295294296295294291292292291290999999999999999999999292292292999291291291290289290289290289289288291291293294294296295296296294294294290999999999999999999287280281281281282282283284285283285285287286286286285286287288287288287286999999999299298296999999999999999999292293294294293293292293293294293293294295296297296297297298297296296297297296295299300300300301302303303303302304302302302302301301300300300300300301301301301301300299299300300301301300299298299299298298298298299299300300300300300300299300299299300299298298298298298298298298299299299298298299299301300300300301301301302300301302301301301301301301302301301301301301301301301300300299299300301300300301300301301301301301301300300300299300299299299299298299299299298297298298297296296296296296297297297298297297297296297297298297298299299298298299299299298298298299299299299298299298298299297298299299299299300299300301302302302302301301301301301300300300301302302302303304304304302301301300301302302302301302301301302301301301301301301301301301301301300300300301300300300300300300300301300300300300300300300300299299299299298298298298297297297297297297297297298297297297297297297297297297297297297297297297297297297297297297297297297297297297297297297297297297296297296295295295295295295294294294294294293293293293293293292292292292291291291291290290290289289289289289289289289289289289289289289289289289289288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288287287287287287287286286286286286286285285285285284284284283283283283283282282282281281280280280280280281281281281282282282282282282283283283283283284284284284284284284284284284284284284284284284284285285285285286286286286286286286286286287287287287287287287287287287287287287287287287286286286287286286286286285285285284284284284284284284283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298298296297298298297297999297296298298999999296295295295297297297297296298298297296296296296297297298297297297298298298296297297298297298297295296295296298295295294295295292293999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290292292292293293295294295295292292292288288288289999999999999999999999999999999999999999999999999999999999288288286286285290290291292291292294294293292292999999999999999999282281281282281282283282282284284285285286289289288287288288287288288288288288288999296293295999999999999999999292292293294294292291293293293292293293294294295296296296297298298297298298298298298298298300300299301301302303304302302300300300301300299299300300300300300300300300299298298300299301300299298298298299298298298299300299300299300300300300299300300299299299298298297298299298298298299299299300300299300300300301301302301301301301301301302301300300301301301301301302302301300300300300300299300301300300299300301301301301301301301301301300300299299299299298299299297298298298297297297296295296296296297297297297297297297297297297297298297297297298298298298299299298299299299299299298300299299297298298299299299300300300300301302301301301301301301301301301300300301301301301303303303302301301301301301302303302302301301302302302301301301301301302301301300300300300301300300300300300300300300300300300300300299299299299299299298298298298298297297297297297297297296296296297297296296297297297296297297297297297297297297297297297297297297296297297296296296296297296297296296296295295295294294294294294294293293293293292292292292292292292291291291291291290290289289288288288288288288288288288288288288288288288288288288288288287288288288287287287287287287287287287287288288287287287288287288288287288287287287287287287287287287286286286286286285285285285284284284284283283283283283282282282281281280280280280280280280280279280280279279279278283284283283283283283283283283283284283283284283284284283284284284284284284285285285285285285285285286286286286286286286286286286286286286286286286286286286286286286286285285285285285285284284284284284283283283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298298296999298298296297297297999297297297999296295297296297297297297297297297297296295297297297297298298298299299299299299297299298299299298297296297298297296295293294293290999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297298296999999999999999290291291294293294294295295295294293292294999294294294999999999999999999999999999999999999999999999999999999999999999999289999999999999999999999999296295295999999999999999999999280281281282282282282283283284284285285284285287288286288289288289288288288287289288294999295294999999999999294294293294294293293293293292293293293293294294295296295295297298297297297297298298298299299299299301299300301301302303301302301301301301300300300299299300300300300300300299298298300301301300299299299299299299299299299300299300300300300300300300300300299299299298298298299299299299299299299300301300301301300300300301302302301301301301301301301302302302301301301302301301302302301301301300300299300301300300301301301301301301301301301301301300300300299299298298297297297298297297297296296295295296295297297297297297296297297297297297297298298298298298298298298298298299299299299299299300299300299299301300300300300300300301301301301301301302302302301301301300300300301302302302302302302301301300300301302302302302301301301301301302301301302302302301301301300300300300300300300300300301301300300301300300300300299299299299298298298298298297297297297297297297297296296296296296296296296297297296297297297296297296296296296297297296297296296297297296296296296296296296296296295295295295294294294294294293293293293292292292292292291291291291291290290290290290289289288288288288288288288288288288288288288288288288288288288288287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287286286286286285285285285285284284284284283283283282282282282281281281280280280280280280279279279279279279279279279279282282283283282283283283283282283283283283283283283283283284284284284284284284285285285285285285286286286286286286286286286286286286286286286286286286286286286286285285285285284284284284284284284284283283283283283 999999999999999999999999999999999999999999999999999999999999999999999999999999297297297999999297297296999296297296297297297297297297296296295295296297297296298297297297297297296296297296298298298298298299299298298298299299299298298298297297296297297296295294292292291999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291291292293293294294294295293293293292293293292294294294294294291290293999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999279280282282282282283283283282284285283282283284285286288287288288288287289288286286288286999999999999999999292294294293295294293294293292291291292292293293293293295295295296296295296297297297297299298298298299300299301301301301300301301301302301300300300300298299299300300300300301299299299299300299299299300301299299299299299300301300300300300299300299300300300299299299299299298298300299299299299299300300300300301301301300300302301301301302302301301301302302302302301302301302302302302301302302302300300301300300300300301300301301301301300300301301301300299299298299298297297297297296296296295295295295296297296296296298297296297297298298298297297298298298298298298298298298299299299300299299300300301300300300300300300300301301301301301301301302302302303301301301300300300301301301301302302301301300298300300302301301301302301301301301302302301302302301301301300300300300301301300300300300301301301301301301300300300299299299298298298298298297297297297297297297297297296296296296296296295296297296296296296296296296296296296296296296296296296296296296296296296296296295295295295295294294294294294293293293293293293292292292291291291291291291291290290289289289288288288288288288288288288288288288288288288288288287288287287287287287287287287287287287287286286286287287287287287287287287287287287287287287287287287287287287287286286285285285285285285285284284284283283283282282282282281281281280280280280280280280280280280280280280280280280281281282282282282282282282282282282282282283283283283283283282283283283283283283284284285285284285285285285285285286286286286286286286286286286286286286286285285285285285284284284284284284283284283283283283283283283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298297295295297297297297298297297296296297297297297297296297297297297298297297297297296296297296297298297296297297297297297297298298298297297298297296297297296295295294293293292999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291292293293293294296296296296295295294293293291293293293294293292292999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999279282282283282283282283282282283283283282283284285286286287287289288287288289289286288999999999999999999999999292292292293294294293292292291292291292291292293292294294295295296296295295296295295299297297297297298299299299299299299299299300300301300300299299299299298299300299299299300299299299300299299299299298299299299299299299300300301300300299300299299300299299299298298298298299299299299299299300300300300300301300299301300301301301301301302301301302302302302301302301301301302302301301302302301301301300300300300300300301301301302301300300300300299299300299299298298297298297296296296296295295295295296295296296296296296296297297298297298298297298298297298298298298298298298298299299299300300299299299299300300300300301301301301301301302303303302302302301301301300300300300300301301301301301300301300300300301301302301302302302302301301301301301301300301300300301300301301301300300300301301301301301301301300300299299299298298298298297297297297297297297296296296296296296296296296296295296296296296296296296296296295295296296296296296296296296296296295295295295295295295295294294294294294294293293293293292292292292291291291291291291291290290290289289289288288288288287287287288288288288287287287287287287287287288287287287287287287287286286286286286286286286286286286286286286286286286286286286286286286286286286286286286286285285285285285284284284284284283283283282282282281281281281281281281281281280280280281281281281281281281281282282282282282282282282282282281282282282282282282282283282282282282282282283283283283284284284284284284284285285285285285285285285286286285285285285285285285285285284284284283284283283283283283283283283283283283283282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297999999295296296296296297297297296296296297297296296296296296296296297297296296296296296295297296297296297297297296296295295296296296296296296296297297297296294293292292292293999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290292293294294295294296297297297297295295295295292292292293293292291290299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999279281281281282283283282282282282282283282282283283284283286286288288287288288289290289288999999999999999999999999999999999294294294294294291292291292293292292293293293294294294295296294294295295295301298298297297297298298298298299298298298298299300300300299298298298298298299298298299299299299300299299299299299299299298299299299299299300299299299300300300300299299298298299298298298299299299299299298299298299299300300300300301301301300300301302301301302302302302302301302302302302302301302301301301301301300300300300300300300300300301300301300300300300298298299299299299298296297296296297296296295295295295295295295295296296296296297296297297298297297296297297298298298298299298298299298298299299298299299300299300300299300300300301302302301302302302302301301301301300300299300300300301301301301300301300300299301301300301300301301301301301301301301301301301301301300300300300300301301300300300300301301301300300300299299299298298298297297297297297297296296296296296296296296296296296296296295295295295295296296296296296295295296295296295295295295295295295295295295295294294294294294294293293293293293292293292292292292291291291291291291291290290290289289289288288288288287287287287287287287287287287287287287287287287287287286286286286286286286286286286286286286285285285286286286286285286286285285285285286286286286285285285285285284284284284284284283283282283282282282282281281281281281281281281281281281281281281281281281281281281282282282282282282282282282282281281281281282282282282282282282282282282282282282282282283283283283283283283284284284284284284285285285285285285285285285284284284284284284284284283283283283283283283283283283283283283283282282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294999999999297296297298298297296296296295295295296296296295296296297297297296297296297297297297297298297296297297297296296297296297297297297297296296296296293292292292292293999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292293294295295296296297298298297297295293294293292293293293292291288999999999999294294294293294999999999999293293292291293291999290290289291290290289290290290288277999999999999999999999999999999999999999280281281282283283283283282282282282282283282282283284284284285286287287288288288288289287288286999999999289289999999999999999999294294293292295291291292291291292292294294294294294294294294294293296294297297297297296296296296297298298298298297297298299299299298298297297297297298298298298298298298299298298298298300298298298299299298299299300300299299299300299300299298298299298298299298297299298298299299298299299298299299300300301301301300300301301301302302301301301301301302302301301301301301301301301301300299300300299299299300300301300300300300300300300299298298299298298298296296296296296296295295295294294297295296295295295296297297297297297297297297296296297297298298298298298299298298298299299299300300300299300300299300300300301301301301302302301301302302302300300300300300300299300300300301301301300300299300301300300300301301301301301300301301301301301301301301301301300300300300299300300300300300300300300299299298298298298297297297297297297297296296296296296296295295295295295296296295295295295295296295295295296296295296295295296295295295295294295295295295295294294294293294293293292292293292292292291291291291291291291291291290290290290290289289288288288288287287287287287287287287286286286286286286286286286286286286286286286286286286285285285285285285284284285285285285285285285284284285285285285285285285285285285284284284284283283283282282282282281281281281281281281281281281281281281281281281281281281281281281281281281281281281281281281281281281281280280280281283281282282282282282282281281282282282282282282282283283283283283283283283284284284284284284284284284284284284284284284284283283283283283283283283283283283283283282283283283283282282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296296999999999999999296298299299298297296295296296296296296296296296295296297297297297297297297297297297297296296297297297297297296297297296297297297297297296295294294293294293293999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293294294295295295296297296298298297296295294295294293294295295292292297999999999999294296296294293294293293294293293291294292291291291291291291292291291291291290289282278999999999999999999999999279279280281282281282282283284283283283283282283284284283283285285285285286286286288289288288287287288288286287999999290290290289287287999999293293292294293293293292292291290291293294294295296295295296297296296294296297297297297296295296297297298298299297298297298298298298297297297297298298298298296298298298298299297297298300300300299299299299299299300300300300301300300301301301299298298298299299299301301300300299299299299299299300301300300301301300301302301302301301302301301302302302302302302301302301302301301301301301301300300300300301300300300300300300300300300299299300299298298299297296296296296295294295294294295295298296296296296296297297297297297297298298297297298298298298298299298299298298298299299300300300300300300300300300300300301301301301301301302302302301301300300300300300300300300301301301302301300301300301301301301301301301301301301301302301302301301302301301301301301301300300300300300300300300300300299299298298298298298297297297297297297297296296296296295296296295295295296296296296296296295296296295295295296296296296296296296295295295295295295295295295295294294294294293293293293292292292292292291291291291291290291291291291291290290290289289289288288288287287287287287287287287287287286286286286286286286286286286286286286285285285285285285285285284284284284284284285284284284284284284284284284284284284284284284284283283283282282282282281281281281281281281281281281281281281281281281281281281282281282282282282281282282282281281281281281281280280281281281280280281281282282282282282282282281282282282282282282282283283283283283283283283283283284284284284284284284284284284284284284284284283283283283283283283283283283283283283283283283283283282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298298299298298297296297297296296296296295296296296296296296296297296297297298297297296297296297296297296296297297297297297298298295296297295296297297296297299291999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294295295295296296296296297298297296295296296295295295296296294293294296999999999295296297296296294295295295293294293292293292291291292291291291291291290290291290289287284284283284287286282281277275275279282283283283284284284283283283283284283284284284285284286285286286287287286287289288288288287287286285999999290291292292291290290290290290293294293292292291291292293290292293294293294294295295296296295296296297298295295295295295296296297298297297296297297297298297297297297296298297297298297297298297298298298298297299301299299300300300301300300301299300300300300300300301299300299299299299299299299301300300299299299299300300301302302302302301301301301301301301301301301302302302303302302302302302302302302302301301301301301300300300300300300300300299300299300299299299299299297298297297297296296296295295296294297297298295295296296296296297298297297298298298298299298298299299299300300300299299299299300300300300300299300299300300300300301301301301301301301302302301301300300300300300300300301301301302301301301301301301301301301301301301301302302302302302302302302302301302302301301301301300300300300300300300300299299298298298298298298298297297297297297297296296296296296296296296296296296296295296295296296296296296295296296296295296295295296296295295295295295295295295295295295294294294293293293293292292292292291291291291291290291291291290290290290289289289289288288288288287287287287287287287286287286286286286286285286286285286286285285285285285285285285284284284284284284284284284284284284284284284284284284284284283283283283283283282282282282281281281281281281281281281281281281281281281281281281281281281281281282282282282282282281281281281281281280280280280279281280281281281281282282282282282282282282282282282282282282282282283283283283283283283283283283284284284284284284284284284284284284284284283283283283283283283283283283283283283283283283283283283282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298298298298298296296296296295295295295295296295296296296297296296296296296295296296296297297297296296295297296297298297298297297297298297298299299298299303299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297295295295295296295296296296296295296295296295294294295294294292291999999999295296295296296296296295295295294293294294292291291291291291291291291291290291290289289287287286285283287287287288285284282281283283283282285286286284284284283283284285285285285286285286286287287288286286288288288288288287283285999999291291291292292292292292292291290293292293292292293292293291289290290291293294294295295294294296296297297295295295296296297297297298297297297296297297297296297297296296296297295296297297298297297297298298297298298299299298300300300300300300300300300300301300301301300300301300300301300300300300299302300300300300301301302301302300302301301302301300301302302302302302302302302302302302302302301302302302302301301300301300299300300300300299299299299299299299298299298298297298297297296296296296295295296296294295295297297297296297297297298298298298299299299299299299299300300300300300300300299300300300300300299299300300300300300300300300300300300300301301301301300300301300300300300301300301301302302301301302302302302301301301301301302302302302301301302302302302302301302301301300300300300300300300299299299298298298298298298298298297297297296297297297297296296296296296296296296296296296295296296296296296296296296296296296295296296296296296295295295295296295295295295294295294294294293293293293293292292291291291291291291291291291290290290290290289289289289288288288288287287287287287287286286286286286285286285285285285285285285285285285285285285285285284284284284284284284284283284283283284284283284284284283283283283283283283283282282282282281281281281281281281281281281281281281281281281281281281281281281281281281281281281281281281281281280281280280280280280279281281282282282282282282282282282282282282282282282282282282283283283283283283283283283283284284284284284284284284284284284284284284284283283283283283283283283283283283283283283283283283283282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299299299299300299297296295293294295295295295296296296297298297297296297296296297296296295297296297297298298298297298298298298298300299300299300300299300303295296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296295294295295294294294294295295296296296296295295295295295293289290288999999296296296298296297298297296296295294293294292291291291292292293294291291291292292290289287288288286285284284283283286284285285285285285285284284283284285284284286285285286286285285286287288288287288287287288288287288289288286286999999291292291292292293292292293291291291291289292292292292291291290290289292293292294294293292293294295299298296295296296297298298297296297297297296297298298298297297297296296296297296296297297296295296295296296297298298298299299300300301301300299300301300301301301301300302302302302301301301300300300302301301300299300301302302302302302301302302302303302302303303303303303302302303303303303303302303303302302301301302301301301300301301300300300300300300299299299299299298298298297297297297296296296296295295295297296296298298297298298298298298299299299299300300300300300300300300300301301301300300300300300300300300300300300300300300300300300300300300300301301301300301300300300300301301301302302301302301301301302302302301301301301301301301301302302302302302302302302302302301301301301300300300300299299299298298298298297298298298298297297297297297297297297296296296296296296296296296296296296296296296296296296296296296296296296296296295295296295296296296296295295295295295295295294294294294293293293293292292292292291291291291291291291290290290290290290289289288288288287287287287287287287286286286286285285286285285285285285285285285285285285285285285284284284284284284284284284283284283284284284284283283283283283283283283283282282282282281281281281281281281281281281281281281281281281281281281281281281281281281281281281281281281281281281281281281281281281282282282282282283283283283283283283283283283283283283283283283283283283283283283283283283283283283284284284284284284284284284284284284284284284284283283283283283283283283283283283283283283283283283283283