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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 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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 93 93 93 92 90 86 84 83 82 81 81 82 82 80 79 77 77 76 80 84 86 87 88 88 88 89 90 91 92 95 96 98 99 98 99 100 102 104 106 107 107 106 107 nan nan nan nan nan nan nan nan nan nan 146 149 155 161 160 154 156 160 164 161 152 147 143 141 139 138 138 138 136 135 134 134 134 136 138 142 145 146 147 147 147 148 148 150 151 153 154 154 154 154 155 156 157 156 156 156 157 158 159 159 159 159 159 160 160 161 162 163 163 165 166 168 169 170 170 171 171 173 174 175 176 177 177 177 177 177 176 175 174 174 174 175 176 177 177 177 176 175 174 173 173 173 173 174 174 174 174 175 176 176 177 177 177 177 176 176 174 173 171 170 169 167 166 165 163 163 162 161 160 159 157 155 154 152 151 149 147 145 145 144 145 145 146 148 151 153 155 158 160 162 163 162 161 160 159 158 158 159 159 159 159 158 155 153 152 151 151 151 152 151 153 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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 90 88 85 82 80 78 75 74 72 73 73 75 76 78 80 83 85 87 88 88 88 91 92 93 95 97 99 99 100 100 101 102 104 106 107 108 109 108 109 111 117 120 124 126 129 nan nan 141 144 148 154 159 163 162 156 160 164 167 164 155 150 146 144 141 140 139 138 137 135 133 133 133 134 136 141 145 147 148 148 148 147 148 150 151 153 154 154 154 154 155 156 157 156 155 156 157 158 158 159 159 158 158 158 159 160 161 162 162 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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 100 99 98 97 96 95 94 92 91 90 90 89 89 88 88 88 89 90 92 93 94 95 96 97 98 100 100 101 101 101 101 102 103 104 106 109 108 109 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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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 113 112 111 109 110 110 110 111 111 111 111 111 111 110 109 109 110 111 111 109 106 105 104 103 102 101 104 106 104 102 101 101 102 103 103 105 107 109 112 114 115 117 121 124 127 129 131 133 136 139 146 152 158 157 153 156 160 167 172 174 175 175 175 174 173 170 166 163 159 154 151 149 147 145 143 141 140 140 141 142 144 145 148 152 155 157 157 157 157 157 156 156 155 154 154 153 154 154 156 156 155 154 154 154 155 156 157 157 157 158 160 161 161 160 160 160 160 161 162 163 164 165 166 168 170 172 174 175 176 177 179 180 180 180 178 176 173 171 171 173 175 178 178 178 177 176 176 176 176 175 174 172 172 173 174 175 176 177 177 176 174 173 171 169 168 168 166 164 163 161 159 158 157 156 156 157 158 159 159 160 159 160 160 160 161 160 160 160 160 160 161 160 161 161 161 161 162 162 162 161 160 159 158 158 158 158 158 158 157 155 154 152 151 150 150 150 150 152 153 152 152 153 154 156 157 nan nan nan 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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 115 114 114 112 113 113 114 114 114 114 114 114 113 112 111 112 115 117 116 112 108 106 105 103 102 102 105 107 105 105 103 103 103 103 103 105 107 109 111 113 114 117 120 123 127 129 131 132 135 138 146 153 159 159 155 155 158 166 170 173 174 175 175 174 173 172 170 167 163 156 151 149 147 146 144 142 141 141 140 141 142 144 148 151 155 157 158 157 157 157 157 156 155 153 152 152 153 153 155 156 155 154 154 154 155 156 157 158 158 159 161 162 162 160 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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 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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 112 111 111 111 112 114 115 116 116 114 113 112 110 110 115 117 118 117 114 110 107 105 105 106 106 107 107 107 106 106 105 105 106 108 109 110 111 113 115 117 121 124 126 128 129 131 138 145 151 157 161 162 162 161 160 164 166 170 171 172 172 173 172 171 169 166 162 155 151 149 148 147 147 145 145 144 144 144 144 145 148 151 154 157 157 157 156 156 155 155 153 150 148 147 148 150 153 155 156 155 155 155 155 156 156 157 158 159 160 161 161 160 158 156 155 155 157 159 162 164 166 166 167 169 171 173 173 174 175 176 177 180 182 183 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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 114 115 114 114 111 109 108 108 113 116 119 119 117 111 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nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 142 141 142 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 146 146 143 139 134 129 124 120 116 114 111 nan nan nan nan nan nan nan nan nan nan nan nan 113 113 112 110 108 108 109 113 116 119 119 118 112 109 107 107 107 106 106 107 107 107 107 107 107 107 108 108 110 111 112 113 115 117 121 124 127 129 132 141 149 152 155 157 159 160 161 162 162 163 166 166 166 164 163 162 160 159 157 155 152 150 150 150 149 148 147 146 147 148 148 149 150 150 151 152 153 152 152 154 154 153 152 150 150 149 149 150 151 153 154 155 155 155 153 152 152 153 153 155 157 159 160 161 161 160 157 155 153 153 155 158 160 162 164 166 167 168 169 170 172 173 174 174 176 179 182 184 184 184 182 180 177 175 173 173 173 175 177 178 178 177 176 176 177 178 178 178 178 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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 146 146 146 147 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 128 129 128 129 128 nan nan nan nan nan nan nan nan nan nan nan nan nan 142 144 146 143 140 135 130 125 122 119 117 114 114 nan nan nan nan nan nan nan nan nan nan nan 114 112 111 110 108 109 111 114 116 119 117 114 110 108 107 106 105 104 105 105 106 106 106 107 106 106 107 108 108 110 112 112 114 115 120 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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 149 149 149 150 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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 161 160 158 157 156 155 155 157 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 128 129 130 132 133 135 136 136 137 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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 161 159 158 157 158 157 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 121 122 123 125 126 128 130 131 131 131 130 131 132 133 133 135 135 134 134 132 131 129 127 125 125 126 125 122 120 118 116 115 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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 100 99 nan nan nan nan 106 105 106 107 108 110 112 112 114 115 116 118 118 119 120 121 122 122 124 124 126 127 127 127 126 125 122 120 118 117 116 118 120 122 121 121 119 118 119 117 115 111 108 104 101 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 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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 115 113 106 103 101 101 100 99 98 98 98 97 98 98 99 99 100 102 103 105 105 106 107 109 110 111 113 114 115 116 117 119 120 122 122 123 123 122 120 119 118 118 118 118 119 121 123 125 125 124 122 121 120 116 112 109 107 106 105 105 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 164 163 160 150 142 134 142 152 157 161 162 162 160 155 149 145 142 142 141 140 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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 108 113 112 105 103 101 100 98 98 97 96 96 95 95 96 96 97 97 97 98 100 101 102 104 105 107 108 109 111 112 115 117 118 119 120 120 120 120 119 119 119 120 120 121 121 123 124 125 126 125 124 123 122 120 120 119 116 115 114 114 114 nan nan nan nan nan nan nan nan nan nan nan 161 157 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 152 145 136 130 129 139 150 155 160 164 163 161 152 143 141 140 141 141 141 141 141 141 143 145 149 150 148 145 142 139 135 135 136 137 137 137 136 134 134 134 136 137 139 139 139 140 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nan nan nan nan nan nan nan 348 348 347 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 84 86 88 91 93 95 99 101 102 101 99 97 95 94 94 94 94 94 95 95 95 96 96 96 97 98 99 100 101 102 104 106 106 108 109 110 111 112 114 114 115 116 117 117 118 120 122 124 125 125 125 124 123 122 123 124 126 128 130 129 127 127 126 125 124 126 nan nan 157 161 nan nan nan nan 165 165 162 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 150 149 150 151 151 148 144 141 140 140 141 141 140 139 137 135 134 135 138 141 144 141 139 136 134 133 134 136 137 139 140 139 139 137 137 136 137 137 138 139 142 144 148 149 150 150 148 147 146 145 144 144 145 145 146 146 147 147 148 149 151 152 152 152 154 155 155 156 157 157 158 160 163 168 172 175 176 175 174 174 174 175 176 179 182 186 190 192 193 193 190 187 183 180 177 174 172 170 169 168 167 167 167 167 166 166 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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 350 349 348 347 346 346 347 349 351 352 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 89 92 94 97 98 99 99 99 98 97 95 94 94 93 93 94 94 94 94 93 93 93 95 96 98 99 99 101 102 103 104 106 108 109 110 112 112 113 114 115 116 118 120 121 123 124 124 124 123 122 121 122 123 126 128 129 129 127 127 127 128 130 134 141 149 156 159 154 nan nan nan 163 165 163 nan nan nan nan nan nan nan 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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 37 39 42 40 40 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 352 350 349 347 346 346 346 347 347 348 349 350 351 352 352 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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202 201 201 202 203 203 203 203 203 203 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 35 37 40 41 38 36 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 352 350 349 348 347 346 345 344 344 345 345 346 347 348 350 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 93 95 96 97 97 96 94 92 91 91 91 91 91 90 90 91 91 91 92 93 94 95 97 98 100 101 103 105 107 109 110 112 114 115 117 117 118 118 119 120 121 122 122 121 121 121 122 123 125 127 128 128 129 130 133 135 138 141 145 151 156 157 158 155 150 nan nan nan 163 165 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 152 154 150 144 135 129 126 129 134 138 141 143 144 143 141 138 132 130 131 132 134 138 142 143 142 141 138 136 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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 47 51 50 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 351 350 350 349 348 346 345 344 343 343 343 344 345 346 348 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 90 92 94 94 94 93 93 93 93 93 91 90 89 90 90 91 92 92 93 94 95 97 98 100 101 103 105 108 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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 352 350 347 346 345 343 342 342 341 341 342 343 345 346 348 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 88 89 91 93 95 96 97 97 97 96 96 95 94 93 93 94 94 95 95 95 97 99 100 103 105 106 108 108 110 111 112 113 113 113 113 114 116 117 118 118 119 121 122 123 125 126 127 128 129 132 135 137 138 138 140 142 148 152 152 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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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 110 107 105 103 103 104 105 106 107 109 111 114 116 118 120 121 123 123 124 125 126 127 129 131 134 134 134 136 139 145 149 151 153 154 156 157 158 159 159 160 160 158 156 151 149 148 149 149 149 149 150 151 152 153 154 155 156 158 159 159 160 161 162 163 163 164 164 166 169 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 134 145 157 167 169 172 174 177 180 183 186 187 189 191 193 194 195 195 195 195 195 195 195 196 195 195 194 194 193 192 193 193 195 197 198 198 198 195 193 191 191 191 192 192 192 191 190 190 189 189 190 190 188 184 184 184 189 194 198 200 201 201 200 200 200 199 198 197 196 195 194 193 193 193 193 193 194 194 193 191 188 184 179 176 178 180 183 184 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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 114 114 113 112 nan nan 110 106 104 103 103 103 104 105 105 106 108 110 113 115 117 119 120 121 122 124 125 127 129 131 133 134 134 137 140 147 150 152 154 155 156 157 159 159 159 159 158 156 154 151 149 149 149 149 149 149 149 150 151 152 154 155 157 158 158 158 159 160 161 161 162 163 164 166 168 170 172 174 175 177 178 180 180 179 178 176 173 170 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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 115 116 115 114 113 112 110 105 103 102 102 103 103 103 104 105 106 107 109 111 113 116 117 119 121 122 124 126 129 131 132 133 133 137 142 148 151 152 154 154 156 157 158 159 160 158 157 153 150 149 149 150 150 151 150 150 149 151 152 153 155 156 157 158 158 158 159 159 160 161 162 162 164 165 167 168 170 172 174 175 176 178 179 178 177 175 174 172 171 171 169 167 166 166 166 166 164 164 163 161 161 161 159 nan nan nan nan nan nan nan nan nan nan nan nan 158 166 173 176 179 182 185 188 190 193 193 194 196 197 198 198 198 197 197 197 197 198 199 199 200 201 201 202 202 202 200 200 200 201 201 202 201 200 198 197 196 195 195 194 193 191 190 188 188 187 186 185 184 185 190 197 203 205 206 205 204 202 201 200 199 198 197 196 195 196 196 197 198 198 198 198 197 196 195 192 190 187 186 186 186 187 187 187 185 184 181 177 175 172 171 169 167 167 165 164 164 164 165 165 165 164 164 163 163 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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 116 116 116 115 115 115 114 112 109 106 103 101 101 102 102 103 103 104 105 106 107 109 112 114 116 119 120 122 124 126 128 129 131 131 132 136 142 149 152 153 153 154 155 156 157 158 159 158 157 152 149 147 148 150 152 153 152 151 151 152 154 154 156 157 157 157 157 157 157 158 158 160 161 163 164 165 166 168 169 171 173 174 175 176 177 176 176 175 173 173 172 172 171 171 170 170 171 171 169 168 167 166 165 164 162 160 156 153 149 145 nan nan 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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 115 116 115 115 115 115 114 114 111 108 105 102 100 100 99 100 102 104 105 107 108 109 110 112 114 116 117 119 120 122 124 125 127 129 129 131 136 142 150 153 153 153 153 154 154 155 155 156 157 158 156 153 149 148 149 152 153 153 152 152 153 155 156 156 157 157 157 157 157 157 158 158 160 161 163 163 164 166 168 169 171 172 173 174 175 174 175 176 175 175 174 174 174 174 173 173 173 173 173 173 172 171 170 168 166 164 162 160 157 155 152 150 150 152 158 163 166 171 176 179 181 183 184 185 187 188 191 194 197 198 199 200 201 201 201 200 200 200 200 199 200 201 202 204 207 208 211 211 212 210 207 203 203 203 204 204 204 203 202 201 201 202 201 200 199 197 195 194 191 190 190 194 199 203 206 206 205 203 202 201 202 202 202 200 198 195 193 194 194 195 197 199 200 199 200 200 201 201 199 196 192 188 185 185 187 189 190 191 188 186 183 179 176 173 170 168 167 167 167 167 167 167 167 166 165 165 165 165 165 165 164 164 164 164 165 166 168 169 169 168 168 168 168 169 169 168 168 167 166 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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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 116 115 115 115 114 115 113 112 109 105 104 103 101 101 100 101 102 104 106 107 108 109 110 112 114 115 116 117 119 121 122 124 126 127 129 131 135 142 150 153 154 154 154 154 154 153 152 150 153 157 159 158 155 151 147 149 150 151 152 153 155 156 157 157 158 157 156 156 156 157 158 159 161 161 164 166 167 169 169 171 172 173 173 174 174 175 175 176 175 175 175 175 175 175 174 174 174 174 175 174 173 172 172 170 168 166 164 162 161 160 161 162 164 166 170 174 176 178 179 180 182 183 184 185 185 185 188 191 195 197 199 200 201 202 202 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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 114 115 114 114 112 111 108 106 106 105 104 103 104 103 103 103 105 106 107 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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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 113 113 112 112 111 110 109 108 106 106 106 108 107 106 104 104 105 105 105 108 110 111 112 113 114 115 116 118 121 122 123 125 128 131 137 145 151 155 156 157 157 156 154 150 144 146 151 159 163 164 162 159 155 152 153 154 156 157 158 158 158 158 158 159 159 160 161 161 162 163 164 165 168 170 171 172 173 174 175 176 176 176 177 177 177 177 177 177 176 177 177 177 177 177 177 177 177 176 175 173 172 171 169 168 169 170 173 175 176 178 179 179 180 181 181 181 182 182 183 184 183 183 183 183 184 188 191 193 196 198 200 200 201 201 202 201 201 202 202 204 207 209 212 215 217 218 219 220 220 218 215 216 216 212 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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 111 111 110 110 110 108 107 106 106 108 110 111 110 106 105 104 104 105 106 108 109 109 110 111 112 114 115 118 120 121 123 125 127 131 137 147 154 157 158 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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 110 111 110 110 110 109 111 112 115 114 112 109 107 107 106 107 108 108 110 111 113 113 112 114 115 116 118 120 123 125 128 130 137 144 151 156 159 159 157 153 150 154 160 167 171 174 175 174 173 170 165 164 163 163 163 163 163 164 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