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nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 2 5 8 10 10 11 13 15 16 15 14 11 8 7 8 8 9 10 11 10 10 9 8 9 12 14 17 20 22 23 25 25 25 25 25 24 23 22 21 20 20 20 20 21 22 23 24 26 27 29 29 31 32 33 34 35 35 36 37 37 37 38 38 38 38 39 41 42 44 46 49 51 52 52 52 52 52 53 53 53 51 48 44 41 37 35 33 32 33 33 34 36 37 39 42 45 47 50 51 53 54 56 56 57 57 56 55 54 53 52 51 52 52 53 54 56 58 61 63 65 67 69 71 73 74 76 78 79 80 81 82 82 83 83 83 84 84 84 83 82 82 82 82 83 83 83 84 84 84 83 84 83 83 83 82 82 82 81 80 80 79 80 80 80 78 76 77 79 86 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 132 131 130 127 123 120 117 114 111 108 108 107 106 104 103 101 100 100 100 101 102 102 104 105 105 105 106 107 105 104 101 100 101 103 105 106 107 109 111 112 111 110 108 108 108 109 110 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136 137 140 142 145 145 146 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 123 123 122 120 117 114 112 108 105 105 105 104 103 102 101 100 100 100 100 101 102 104 105 106 107 107 108 106 104 101 101 102 104 107 108 109 111 113 114 113 112 111 111 110 110 111 111 111 112 113 114 113 113 111 110 110 111 112 115 115 115 114 112 110 108 106 105 104 104 105 106 108 109 110 111 112 111 112 112 113 114 116 117 117 117 117 117 118 119 119 120 120 120 121 122 123 125 126 128 130 132 133 133 131 130 128 129 130 132 132 132 132 132 132 131 131 128 124 115 105 92 85 84 85 86 nan nan nan nan nan nan nan nan nan nan nan nan 96 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 81 82 81 82 82 82 82 84 85 86 86 83 79 nan nan nan 62 63 63 65 66 66 68 69 71 74 77 81 86 92 97 101 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 164 164 164 167 168 169 168 166 165 164 164 164 163 163 163 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nan nan nan nan 71 69 70 72 72 73 75 77 79 84 87 92 97 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 164 165 166 166 165 165 163 163 162 163 163 164 164 164 163 163 163 163 161 160 160 160 160 160 159 159 157 158 157 157 158 158 159 159 158 158 157 156 154 152 149 146 145 144 142 140 138 135 132 138 144 152 154 154 153 154 153 153 153 152 152 151 150 149 148 147 147 145 145 144 143 142 141 141 141 141 143 nan 144 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 6 6 7 7 8 9 10 11 10 9 5 1 2 3 6 9 11 12 13 15 18 20 21 22 23 24 24 23 23 22 20 19 17 16 16 16 17 17 19 20 21 23 24 26 27 28 30 31 32 33 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nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 6 6 5 3 2 1 1 2 3 6 8 9 12 14 15 17 20 20 21 23 23 23 23 23 22 20 18 16 16 15 15 16 16 17 18 20 22 23 24 26 28 29 30 31 32 33 34 34 35 35 34 35 35 36 36 38 39 41 44 47 50 51 53 53 53 52 51 51 51 51 53 54 55 55 54 53 51 48 44 42 39 38 37 36 38 40 42 45 47 49 51 52 54 54 54 55 55 54 56 57 58 59 60 58 57 56 56 56 58 59 62 64 66 68 70 72 74 76 78 78 79 79 79 78 77 77 76 77 76 76 75 75 74 74 74 73 74 74 74 75 77 77 76 76 76 76 76 76 76 76 79 82 92 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 105 108 109 109 108 105 102 100 99 98 99 101 101 101 101 99 99 99 100 100 101 103 107 108 109 109 109 108 106 106 108 111 112 114 116 117 118 119 117 114 111 109 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nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 1 -0 1 2 4 6 6 7 8 9 9 10 9 10 10 9 9 10 10 11 12 13 16 18 19 21 22 23 24 26 27 29 30 32 34 36 38 41 43 45 48 49 51 53 53 54 55 56 57 58 60 62 64 64 65 65 65 63 62 60 58 56 55 54 54 53 54 55 56 59 60 62 64 64 64 63 63 63 63 64 64 65 66 68 70 71 72 74 74 74 74 73 73 73 73 73 73 74 74 74 75 76 79 81 83 84 85 87 89 91 93 95 97 98 99 98 97 93 90 88 87 87 85 84 81 78 76 75 73 72 70 69 67 65 64 64 63 63 63 63 64 64 64 63 63 64 64 64 64 65 64 65 64 64 65 64 64 64 63 63 63 63 64 66 67 68 68 67 67 67 67 68 70 73 77 80 82 84 87 89 90 91 93 96 nan nan nan nan nan nan nan nan nan nan nan 119 123 125 126 nan 126 130 132 133 132 129 126 124 123 126 130 nan nan nan nan nan nan nan nan nan 141 143 144 144 144 144 144 144 144 145 146 145 143 141 139 139 137 136 133 132 131 130 129 128 127 124 125 125 124 123 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