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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 256 256 nan 256 256 256 256 256 nan nan nan 254 254 254 254 255 255 254 254 254 254 254 254 254 254 253 nan 252 252 252 252 252 nan nan 252 252 252 252 252 nan 252 252 252 252 253 253 252 252 252 252 252 252 nan 251 251 251 250 250 250 250 250 250 249 249 249 249 249 249 249 249 248 248 248 248 248 248 247 248 248 248 248 248 248 248 248 248 248 248 248 248 248 248 248 248 247 247 247 247 246 244 244 244 244 244 245 245 244 244 244 243 243 243 243 243 243 243 243 243 243 243 243 243 243 243 243 243 243 242 242 242 242 241 241 241 242 242 242 242 242 242 243 243 242 242 242 242 243 243 243 243 243 243 243 242 242 242 242 243 243 243 243 242 242 242 243 242 242 242 241 241 242 243 243 243 243 243 244 245 246 246 247 246 246 247 247 248 248 249 248 248 249 250 251 252 253 253 253 253 254 254 255 255 256 256 256 256 255 255 255 255 255 255 255 255 255 256 256 256 256 255 254 254 254 255 255 256 257 257 257 257 257 257 257 256 256 255 255 255 255 255 255 256 256 256 256 255 255 255 254 253 253 252 252 252 252 252 252 252 251 250 249 248 247 246 245 244 245 246 247 246 247 247 248 248 248 249 248 248 248 248 248 248 249 249 249 249 nan nan nan nan nan nan nan nan nan nan nan nan 252 252 252 nan 252 252 252 253 253 253 253 253 254 254 254 254 254 254 255 255 255 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 258 258 nan nan nan 257 257 257 257 257 257 256 nan nan nan nan 255 255 255 255 nan nan 255 255 254 253 253 253 252 252 252 252 252 252 nan nan 252 252 252 252 252 nan 252 253 253 253 nan 253 253 252 252 252 252 252 251 251 251 251 250 250 nan 250 250 250 250 249 249 249 250 250 249 249 249 249 248 248 248 248 248 248 248 248 248 248 248 248 248 248 248 248 248 249 249 249 248 248 248 247 247 246 245 245 244 244 244 245 245 245 244 244 244 244 243 243 243 243 243 243 243 244 244 244 244 244 243 243 243 243 243 243 243 243 242 242 242 242 242 242 242 242 242 242 242 242 242 242 243 243 243 244 243 243 243 243 242 242 242 242 242 243 243 242 242 241 242 242 241 241 240 240 241 241 242 242 242 242 242 243 244 244 244 245 244 244 245 245 245 245 245 245 245 246 247 248 249 249 250 250 251 252 252 253 254 255 254 254 255 255 255 255 255 255 255 255 255 255 255 256 256 257 256 256 255 254 255 255 255 256 256 257 257 257 256 256 256 256 256 256 255 255 255 256 256 256 256 256 255 255 254 253 253 253 252 252 252 252 252 252 251 251 251 250 250 249 249 247 245 245 244 244 244 244 244 245 246 247 247 246 246 247 247 248 248 248 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 252 nan 253 253 253 253 253 254 254 255 255 254 254 254 254 254 255 255 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 258 nan 258 257 257 257 257 nan nan nan nan 255 255 255 256 256 256 nan 255 nan 254 253 253 253 253 252 252 252 252 nan nan 252 252 252 252 252 nan 252 253 253 253 nan nan 253 252 252 252 252 nan nan 251 251 251 250 250 nan 250 250 250 250 250 250 250 250 250 249 249 249 249 249 249 249 249 249 248 248 248 248 248 248 248 248 248 248 249 249 249 249 249 249 248 248 248 247 247 246 246 245 245 245 245 245 245 245 245 244 244 244 243 243 243 243 243 243 244 244 244 244 244 244 244 243 243 243 243 243 243 242 242 242 242 242 242 242 242 242 242 242 242 242 242 243 243 243 244 243 243 243 243 243 243 242 242 242 242 242 242 241 241 241 241 241 241 240 240 240 241 241 241 241 242 242 243 243 243 243 243 244 244 244 244 244 244 245 245 245 245 246 247 248 248 249 249 250 250 251 252 252 253 253 254 254 255 255 255 255 254 255 255 255 255 255 255 256 256 256 256 255 255 255 255 255 256 256 256 257 256 256 256 256 256 256 256 255 255 256 256 256 256 256 256 255 255 254 253 253 253 252 252 252 252 252 252 251 251 250 250 250 250 249 249 247 247 246 245 244 244 243 244 245 245 245 245 245 246 247 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 249 250 251 251 nan nan nan nan nan 253 253 253 254 254 254 254 254 254 254 254 254 254 255 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 259 258 258 258 258 nan nan nan nan nan 256 256 256 256 256 256 nan nan nan nan 254 253 253 253 253 253 253 253 nan nan nan 252 252 252 252 252 252 253 253 253 nan nan nan 252 252 252 252 nan nan nan nan 251 250 250 250 250 250 250 250 250 250 250 250 250 250 249 249 249 249 249 249 249 249 249 249 248 248 248 248 248 248 248 248 249 249 249 249 249 249 249 248 248 248 248 247 247 246 245 245 245 246 246 245 245 245 244 244 244 243 243 243 243 243 244 245 245 245 244 244 244 244 244 243 243 243 243 243 243 243 242 242 242 242 242 242 242 242 242 242 242 242 243 244 244 243 243 243 243 243 243 242 242 242 241 241 241 241 241 241 241 241 241 241 241 240 240 240 241 241 241 241 241 241 242 242 243 243 243 243 243 244 244 244 244 244 244 246 246 247 247 248 248 248 249 250 250 250 252 252 253 254 254 254 254 254 254 254 254 254 254 255 255 255 255 256 256 255 255 255 255 255 255 256 256 256 256 256 256 256 256 256 256 255 255 256 256 256 256 256 256 256 255 254 253 253 253 253 253 252 252 252 252 252 252 251 250 250 251 251 251 251 249 247 246 245 244 243 243 243 243 244 244 244 244 245 245 246 247 248 248 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 254 254 253 254 254 254 254 254 254 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 259 nan nan nan nan nan nan nan nan nan nan 256 256 256 nan nan nan nan nan nan nan 253 253 253 253 253 253 253 253 252 252 252 nan nan 253 253 253 253 nan nan nan nan 252 252 252 nan nan nan nan 250 250 250 250 251 251 251 251 251 251 251 250 250 250 250 250 250 250 249 249 249 249 249 249 249 249 248 248 248 248 248 249 249 249 249 249 249 249 249 249 249 249 249 248 248 247 246 246 246 246 246 246 246 245 245 244 244 244 243 243 243 243 244 245 245 245 245 245 244 244 244 243 243 244 243 243 243 243 242 242 241 242 242 242 242 242 242 242 242 243 243 244 243 243 243 243 243 243 242 242 242 242 241 241 240 241 241 241 241 241 241 241 241 241 241 240 241 241 241 241 241 241 241 242 242 243 243 243 243 243 243 243 243 243 244 245 245 246 247 247 247 247 247 248 248 249 250 251 252 253 254 254 254 254 253 253 254 254 254 254 254 254 255 255 255 255 254 255 255 255 256 256 256 256 256 256 256 256 256 256 256 255 255 256 256 256 256 256 257 257 256 255 255 254 253 253 253 252 252 252 252 253 253 252 251 250 251 251 251 251 250 249 247 246 245 246 245 243 243 243 244 243 243 243 244 245 246 247 247 248 247 247 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 253 254 254 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 253 253 nan nan 253 253 253 252 nan nan nan 253 253 253 253 253 nan nan nan 252 252 252 252 nan nan 251 250 250 250 251 251 251 251 251 251 251 251 250 250 250 250 250 250 250 250 250 250 250 249 249 249 249 249 248 248 248 248 248 249 249 249 249 249 249 249 249 249 249 249 249 248 247 247 246 247 247 247 247 246 246 245 245 245 244 244 244 244 244 245 245 245 245 245 245 245 244 244 243 243 244 243 243 243 243 242 242 242 242 242 242 242 242 242 242 243 243 243 243 243 243 243 242 243 242 242 242 242 242 241 241 241 241 242 241 241 241 241 241 241 241 241 240 240 241 241 241 241 241 241 241 242 242 242 242 242 243 243 242 242 243 244 244 245 246 246 246 246 246 246 246 247 248 249 249 250 251 252 252 253 253 253 253 253 253 254 254 254 254 254 255 254 254 254 254 254 255 256 256 256 256 256 256 256 256 256 256 255 255 255 255 255 256 256 257 257 257 257 257 256 254 253 252 252 252 252 252 252 253 254 254 252 251 251 251 251 250 250 249 248 248 247 247 246 245 244 244 243 243 242 242 242 243 244 246 247 248 248 247 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 256 256 nan nan nan nan nan nan nan nan nan nan nan nan nan 253 253 253 253 253 253 252 252 nan nan 252 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 253 254 253 253 254 254 254 254 254 254 253 253 253 253 253 253 252 252 252 251 251 250 250 250 250 250 249 249 248 248 248 248 248 248 248 248 248 248 248 248 248 249 249 249 249 249 249 249 248 248 248 248 248 248 248 248 248 248 248 248 248 247 247 246 246 246 246 246 246 246 246 245 245 245 245 245 244 244 244 244 244 244 245 245 244 244 244 244 244 244 243 243 242 243 243 244 243 243 243 243 243 243 244 245 245 245 246 246 246 246 247 247 247 246 246 246 246 246 246 245 245 245 245 245 245 245 246 245 245 245 245 245 246 247 247 247 247 248 248 249 249 250 250 251 251 252 252 252 252 252 252 252 252 252 252 253 253 252 252 251 250 nan 249 249 248 248 248 248 nan nan nan nan nan nan nan nan nan 246 nan 248 248 249 249 249 249 248 247 nan nan nan nan nan nan nan nan nan nan nan 239 240 241 241 243 244 244 246 247 248 248 249 249 249 249 249 249 249 250 250 250 250 251 251 251 252 252 253 253 253 253 253 253 253 253 253 253 253 253 nan nan nan nan 253 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 253 253 253 253 253 252 252 253 253 253 253 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 253 253 254 254 254 254 254 254 253 253 253 253 253 252 252 252 252 251 251 250 250 250 250 250 250 249 249 248 249 249 249 248 248 249 249 249 249 249 249 249 249 249 249 249 249 249 249 249 249 249 249 248 248 248 248 248 248 248 248 248 247 247 247 246 246 247 247 246 246 245 246 246 246 245 244 244 244 244 244 244 244 245 245 245 245 245 245 244 243 243 243 243 243 243 243 242 242 242 243 243 244 245 245 245 246 245 246 246 246 246 246 246 246 246 246 246 245 245 245 245 245 245 245 245 245 245 245 245 245 245 246 246 246 246 246 247 248 248 249 249 249 249 250 250 251 251 251 251 251 251 251 251 252 252 252 252 252 251 nan nan 250 249 249 249 248 nan nan nan nan nan nan nan nan nan nan nan nan 248 249 249 250 250 250 249 247 nan nan nan nan nan nan nan nan nan nan nan nan 238 239 240 240 240 243 245 247 248 248 248 248 249 249 249 249 249 249 249 250 250 250 250 250 251 251 252 252 253 252 252 253 253 253 253 253 253 253 253 253 253 253 253 253 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 253 253 253 253 253 253 253 253 253 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 253 253 253 254 254 254 254 254 254 253 253 253 253 252 252 252 252 251 251 251 251 251 251 251 250 250 249 249 249 249 249 249 249 249 249 249 249 249 249 249 249 250 250 249 249 249 249 249 249 249 249 249 249 248 248 248 249 248 248 248 248 248 247 247 247 247 247 246 246 246 246 248 247 246 244 244 244 244 243 243 244 244 245 245 245 245 245 244 244 244 243 243 243 242 242 242 242 242 242 243 243 243 244 244 245 245 246 246 246 246 246 246 246 246 246 246 246 246 245 245 245 244 245 245 245 245 245 244 244 245 245 245 245 245 246 246 247 247 248 248 248 248 249 249 250 251 251 250 250 250 250 251 251 252 251 251 251 251 250 250 250 250 250 249 248 nan nan nan nan nan nan nan nan nan nan nan nan nan 248 249 249 250 250 249 nan nan nan nan nan nan nan nan nan nan nan nan nan 237 238 238 237 nan 241 244 246 247 248 248 248 248 249 249 249 249 249 249 249 249 250 250 250 250 250 250 251 252 251 251 252 252 252 252 252 252 252 252 252 252 253 252 253 253 nan nan 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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 254 254 254 254 253 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 254 254 254 254 254 nan nan 253 253 253 252 252 252 252 251 251 251 251 251 251 251 251 251 251 251 251 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 249 250 250 249 249 249 249 249 249 249 249 249 248 248 248 247 247 247 247 247 248 249 248 247 246 245 245 244 243 244 244 244 245 245 245 245 nan 245 245 245 245 244 244 243 243 243 242 242 241 241 241 241 242 243 243 244 244 244 244 244 245 246 246 247 247 247 248 247 247 246 246 245 245 244 244 245 245 244 244 245 245 245 245 245 245 245 245 245 245 245 246 246 246 247 247 248 249 249 248 248 249 249 249 249 249 250 250 251 250 250 250 250 250 250 250 250 249 249 nan nan 247 247 247 nan nan nan nan nan 247 246 247 247 248 248 249 249 248 247 245 nan nan nan nan nan nan nan nan 235 235 235 234 233 235 238 242 244 245 246 247 248 249 249 249 249 249 249 249 249 249 249 249 249 249 249 249 250 250 250 249 250 250 250 250 251 251 251 251 251 251 252 251 251 252 252 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 254 254 254 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 253 253 253 252 252 252 252 252 252 251 251 251 251 251 251 251 251 251 251 251 250 250 250 250 250 250 251 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 249 249 250 250 250 249 249 249 248 248 248 247 247 248 249 249 248 247 247 246 246 245 244 244 244 245 245 245 245 244 nan 245 245 nan nan nan 244 243 243 242 242 242 242 241 241 242 242 242 243 243 243 243 243 244 245 245 246 247 247 247 248 247 247 247 246 246 246 245 245 245 245 244 244 245 245 245 245 245 245 245 245 245 245 245 245 245 245 246 247 247 247 247 247 248 248 248 249 249 249 250 250 250 250 250 250 250 250 250 250 250 250 249 249 248 247 247 247 nan nan nan 248 247 246 246 246 246 246 246 247 248 247 247 245 243 nan 243 nan nan nan nan nan 237 237 nan 234 233 234 236 240 241 243 245 247 248 248 248 248 249 249 249 249 249 249 249 249 249 249 248 248 249 249 249 248 249 249 249 249 250 250 250 250 251 251 251 251 251 251 252 252 252 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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 253 253 252 252 252 252 252 252 252 252 252 252 252 252 251 251 251 251 251 251 251 251 251 250 250 250 251 251 251 251 251 251 251 251 250 250 250 251 251 251 252 252 251 251 250 250 249 249 249 248 248 248 248 248 248 248 247 246 245 245 244 245 245 246 246 246 246 245 245 245 245 245 nan 244 243 243 242 243 243 243 243 243 242 241 241 241 241 242 242 243 243 244 245 245 245 246 246 247 247 248 248 248 247 247 247 246 246 245 245 245 245 245 245 245 245 245 245 245 245 245 245 245 245 245 245 245 246 246 246 247 247 248 248 249 250 250 250 250 250 250 250 250 250 250 250 249 249 249 249 249 248 248 247 nan 246 247 247 247 247 247 246 246 246 nan nan 244 245 245 245 245 245 245 nan nan nan nan nan nan nan nan nan nan nan nan nan nan 237 240 243 245 246 246 247 247 248 248 249 249 249 249 249 249 249 248 248 248 248 247 247 247 247 247 248 248 248 249 249 250 250 251 251 251 251 251 251 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 253 253 253 253 253 253 252 252 252 252 252 252 252 252 251 251 251 251 251 251 251 251 251 250 250 251 252 252 252 252 252 251 251 251 250 250 250 251 251 252 252 252 252 251 251 251 250 249 249 249 249 249 249 249 249 247 247 246 245 245 245 245 246 247 247 247 246 246 245 245 nan nan nan nan 243 243 243 244 244 244 243 243 242 242 242 242 242 242 242 242 242 242 242 243 244 245 245 246 247 248 247 248 247 247 247 247 246 246 246 246 246 246 246 245 245 245 245 245 245 245 245 245 245 245 245 245 245 246 246 247 247 247 248 249 250 250 250 250 250 250 250 250 251 250 250 249 249 249 249 249 249 248 nan nan 246 246 246 247 247 248 248 248 247 nan nan nan 244 244 244 244 245 245 244 nan nan nan nan nan nan nan 240 nan nan nan 234 nan 237 239 242 244 244 244 245 246 247 248 248 248 248 249 249 249 249 248 248 248 247 247 247 247 247 247 247 247 248 249 249 250 250 250 251 251 251 251 251 251 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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