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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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 38 38 38 38 38 38 37 37 36 36 35 35 34 34 33 33 32 32 32 32 32 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 134 135 135 135 135 135 135 135 nan nan 135 135 135 135 135 136 137 136 nan 138 139 139 139 139 139 139 140 141 141 141 142 143 144 nan nan nan nan nan nan nan nan nan nan 133 130 127 124 122 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 91 89 92 104 120 137 137 147 154 157 158 159 158 157 158 158 159 159 159 163 165 165 164 163 160 158 157 155 152 149 148 142 136 133 132 134 137 138 137 135 135 135 136 138 143 152 160 165 168 169 168 164 163 164 164 164 163 161 158 156 154 154 155 157 159 159 161 162 164 166 167 168 170 171 172 172 172 172 171 170 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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 135 135 135 135 136 136 nan nan nan 136 136 136 136 137 137 137 nan nan nan 139 140 140 140 140 nan 140 141 141 141 142 143 144 145 nan nan nan nan 147 147 147 146 143 139 134 130 127 125 123 122 121 121 121 122 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 105 100 95 92 92 90 95 110 128 138 140 152 158 160 160 158 156 155 155 156 158 161 164 165 164 163 161 159 157 155 152 150 149 147 145 140 134 131 130 131 134 135 135 133 133 131 130 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210 213 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 231 227 223 221 223 224 225 228 229 231 233 235 236 237 238 237 237 236 236 234 231 229 228 226 225 224 221 217 214 214 216 218 219 219 220 221 223 225 227 227 226 224 223 224 224 225 225 223 223 224 224 225 225 225 224 223 222 222 222 221 220 219 218 218 218 219 219 220 220 220 220 219 217 216 215 216 217 218 219 219 219 218 217 216 215 215 216 216 215 214 213 214 214 214 214 215 216 219 222 224 226 226 226 225 224 223 222 221 220 220 221 221 221 222 222 222 221 220 222 224 226 227 230 231 231 232 233 235 238 238 241 242 242 242 242 242 243 243 245 246 247 247 248 249 250 251 253 254 254 255 255 256 256 257 256 257 257 258 258 259 259 260 261 261 262 262 262 263 262 262 262 262 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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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204 200 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 203 204 206 210 214 nan nan nan 224 226 227 nan nan 234 237 nan nan nan nan nan nan nan 243 nan nan nan nan nan nan nan 230 225 222 223 227 230 232 232 234 236 237 237 238 238 238 239 239 238 237 236 235 232 229 227 225 223 221 218 214 213 214 216 217 218 219 220 222 223 225 226 225 224 223 224 224 224 224 223 222 222 223 223 224 223 223 223 222 222 222 221 220 219 217 216 216 217 217 218 219 220 220 220 219 218 217 216 217 217 218 218 218 217 215 214 215 215 215 216 215 214 214 214 214 214 214 215 217 219 221 224 225 225 225 224 224 224 222 221 220 219 219 220 220 221 222 222 222 222 223 224 225 226 228 231 231 231 233 236 238 239 241 243 243 243 243 243 244 244 245 246 247 247 248 249 250 251 252 253 254 254 255 255 256 256 255 255 255 256 256 257 258 259 260 260 261 261 262 262 260 261 261 262 262 nan nan nan nan nan nan nan nan nan nan nan nan 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nan nan nan nan nan nan 231 nan nan nan nan nan nan 243 239 nan nan 236 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 203 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 213 209 nan nan 202 201 201 nan nan nan nan nan nan nan nan nan nan nan 204 nan 205 208 211 215 216 213 212 216 220 225 226 228 236 241 nan nan nan nan nan nan 243 242 nan nan nan 237 236 nan 231 224 221 221 225 230 234 234 237 240 240 240 239 239 239 239 239 239 239 238 237 235 230 227 225 223 220 217 214 213 214 214 215 217 219 219 221 222 224 225 225 224 224 224 225 224 224 222 221 221 222 221 221 222 222 222 222 222 222 221 220 219 218 217 216 216 217 217 218 219 220 220 220 219 218 217 217 218 218 217 217 216 215 214 214 214 214 215 214 214 214 214 214 214 214 215 217 219 221 223 224 224 224 224 223 223 222 221 219 218 218 219 220 221 222 223 223 224 224 224 224 225 227 230 230 231 235 237 238 241 242 243 243 244 244 244 245 245 246 246 246 247 248 249 250 251 251 252 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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 137 137 136 136 136 nan nan nan nan 141 141 141 141 nan nan nan nan nan 141 141 142 142 nan nan nan nan nan nan 143 144 nan nan nan nan 148 148 149 150 150 150 151 151 151 149 146 140 132 127 126 126 127 127 126 125 124 124 124 125 127 130 132 132 133 132 130 126 122 119 117 114 110 109 109 109 109 109 109 107 104 101 100 99 99 101 110 116 128 143 153 159 162 163 163 163 164 164 164 164 164 161 158 155 152 149 147 146 146 145 145 141 138 136 133 131 130 129 126 122 119 118 119 120 123 125 126 129 133 142 150 155 156 155 155 155 156 154 152 151 151 152 153 154 155 155 156 157 159 160 162 163 164 164 165 166 166 167 167 168 169 169 169 170 171 172 173 175 177 176 177 179 181 184 187 192 197 201 205 209 211 210 209 206 204 200 194 190 191 192 189 186 185 185 185 185 188 nan 202 210 221 233 nan nan nan nan nan nan nan 231 nan nan nan nan nan nan nan nan 204 207 207 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 138 137 137 nan nan nan nan nan nan 142 142 142 nan nan nan nan nan nan 141 141 142 nan 143 nan nan nan nan 144 144 145 145 nan 146 147 148 148 149 150 150 151 152 152 152 151 148 143 135 129 127 126 127 127 127 127 125 124 124 125 127 130 132 132 133 133 131 128 124 120 117 114 111 109 108 108 108 108 108 107 105 104 103 102 101 101 102 112 127 140 149 155 160 162 164 165 167 168 167 167 163 159 156 152 149 145 143 144 145 145 144 140 135 131 128 127 126 126 123 119 117 116 117 120 124 128 130 133 137 143 150 155 155 156 154 153 153 154 152 152 152 153 154 154 155 155 156 157 159 160 162 163 164 164 165 165 166 166 167 168 168 169 169 170 171 173 175 177 178 179 181 183 185 187 190 194 200 204 208 212 213 212 211 205 202 200 196 191 190 191 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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 138 138 138 138 nan nan nan nan nan nan 142 143 nan nan nan nan nan nan nan 141 141 142 142 143 nan nan 145 145 145 145 145 145 146 146 147 148 148 149 149 150 151 152 153 153 153 151 146 139 132 128 128 127 128 128 128 127 125 124 125 127 130 132 132 133 133 132 129 125 121 118 115 112 110 109 108 108 108 108 107 107 106 106 104 102 101 104 112 126 138 146 153 158 161 163 165 167 168 167 165 161 156 154 150 146 142 140 142 144 146 146 143 136 129 124 123 123 124 125 123 121 119 119 122 126 130 134 137 140 146 151 155 156 156 155 153 152 153 153 152 153 154 154 154 154 155 156 157 159 160 162 163 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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 141 141 141 141 142 142 142 141 141 141 141 142 142 142 143 143 144 144 144 144 144 144 144 144 144 144 143 143 143 143 nan nan nan nan nan nan nan nan nan nan nan 145 146 147 147 148 149 150 152 152 153 153 152 150 146 139 133 128 126 126 125 125 126 127 128 129 128 130 132 133 134 135 134 130 128 125 121 119 118 117 116 116 117 119 122 122 123 125 126 126 127 128 130 133 138 142 145 146 147 148 149 149 149 146 145 144 146 150 155 156 156 155 153 150 148 145 142 137 131 127 124 123 125 134 147 157 162 163 164 165 166 166 164 163 164 166 166 166 165 164 162 160 159 158 158 158 158 158 158 158 159 160 161 162 163 163 164 165 166 167 168 170 171 172 174 176 179 180 183 188 193 198 202 205 207 208 208 207 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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 144 144 143 nan nan nan nan nan nan nan nan nan nan nan 139 139 139 138 138 138 137 137 136 136 135 134 133 133 132 132 132 132 132 132 131 131 131 131 131 130 130 130 130 130 130 130 131 131 130 130 131 133 135 136 138 140 142 141 138 133 129 127 128 130 131 133 134 135 136 136 136 137 138 140 141 142 142 141 139 136 135 135 135 134 133 132 131 131 132 132 132 133 135 137 139 140 141 142 142 144 145 145 143 139 132 127 125 124 123 122 121 120 119 nan 119 120 121 122 123 125 126 128 128 130 132 134 136 138 139 141 143 144 145 146 146 147 148 148 149 149 149 149 149 149 150 150 150 151 152 153 154 156 157 158 160 161 162 162 164 166 171 177 181 183 185 184 180 174 173 172 171 171 170 169 170 171 174 175 175 175 176 176 177 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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 144 143 nan nan nan nan nan nan nan nan nan nan nan nan 139 138 138 138 138 137 137 136 135 134 134 133 132 132 132 132 132 133 132 132 131 131 131 131 130 130 130 130 130 130 130 130 130 130 130 130 131 132 134 136 138 140 141 139 134 129 127 126 128 129 132 134 135 136 135 134 134 135 136 138 139 139 136 133 131 131 133 136 137 135 132 129 129 127 127 127 129 132 136 141 144 145 145 145 145 144 143 141 138 132 127 125 125 124 124 123 121 120 nan 119 119 120 122 124 125 127 129 129 131 132 134 136 138 139 141 143 144 145 145 146 147 148 149 149 149 149 149 149 149 149 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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 149 149 149 148 148 147 146 145 144 143 141 139 137 137 136 134 133 131 131 130 129 127 126 125 124 123 123 122 121 120 120 119 119 119 119 119 118 118 118 119 119 119 119 118 118 117 117 116 115 115 115 115 115 115 115 115 115 114 114 113 112 110 108 107 106 105 104 103 102 101 103 110 117 122 124 124 125 126 127 127 128 130 nan nan nan nan nan nan nan nan nan 129 127 nan 127 127 127 128 128 128 128 127 129 138 146 148 147 145 145 145 144 144 144 147 149 152 154 155 155 155 155 155 156 157 158 159 160 165 161 158 156 155 154 154 155 156 156 155 154 154 156 158 159 161 162 165 167 167 166 166 169 174 179 182 184 184 183 180 181 182 183 184 186 188 193 202 204 203 205 206 204 198 194 196 202 207 206 206 205 205 205 204 204 204 204 203 204 207 206 206 207 206 202 198 197 198 197 197 196 197 198 198 203 211 219 223 220 215 209 203 198 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 220 nan nan nan nan nan nan nan 220 218 217 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 224 nan nan nan 224 226 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 149 149 149 149 148 147 146 146 144 143 141 139 138 137 136 134 133 132 131 130 129 127 126 124 123 123 123 122 122 121 120 120 119 120 119 119 118 118 118 119 119 119 119 118 117 117 116 115 114 114 114 113 114 113 114 114 114 113 113 112 111 110 109 108 106 104 103 102 101 101 103 109 116 119 121 124 128 129 129 129 129 130 nan nan nan nan nan nan nan nan 131 129 128 nan 128 127 127 127 126 125 124 122 123 130 140 146 144 142 141 141 141 142 144 147 149 151 152 154 155 155 156 157 158 160 162 164 165 165 163 163 162 161 159 157 156 156 153 151 150 149 149 152 154 157 163 169 174 173 171 170 170 173 179 184 185 184 183 182 181 179 180 186 193 199 nan 206 210 209 206 203 199 190 187 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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 150 150 149 149 148 147 147 146 145 143 141 140 138 137 136 135 133 132 132 130 128 127 125 124 123 123 122 122 122 121 121 120 120 120 120 119 118 118 118 118 119 119 119 118 117 116 116 114 114 113 113 113 113 112 113 113 113 112 112 111 110 109 109 108 106 104 102 100 100 101 104 109 115 116 120 124 127 129 130 131 131 131 132 nan nan nan nan nan nan 132 131 130 130 nan nan 127 127 126 124 122 119 117 118 123 131 138 140 141 138 137 139 142 146 148 150 151 152 154 156 156 157 158 159 161 163 166 166 165 166 166 166 165 163 162 160 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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 236 236 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 234 235 237 238 238 240 241 240 239 238 236 235 235 233 232 231 231 231 230 229 229 228 227 228 229 231 232 233 235 238 243 248 252 254 254 252 249 247 244 244 244 245 245 244 242 244 245 245 244 243 241 241 241 241 242 242 240 238 237 236 238 238 239 239 239 238 237 236 235 235 235 236 238 241 242 243 246 249 250 251 250 nan nan nan nan nan nan nan nan nan 255 254 nan 254 nan nan nan nan 253 254 nan nan nan 252 252 248 247 250 252 252 251 249 249 249 250 250 250 249 248 248 nan nan nan nan nan 253 256 nan nan 261 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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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