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Wind_Speed
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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 254 254 253 253 253 253 254 254 255 255 256 256 256 257 257 257 257 257 257 257 257 257 257 258 258 259 259 259 259 259 259 258 258 257 257 256 256 256 257 258 259 260 261 262 263 264 265 266 267 267 268 268 268 268 268 268 268 268 268 267 267 266 265 264 264 263 263 263 263 264 264 264 264 265 265 265 266 266 266 266 267 267 268 270 271 271 272 272 272 272 272 273 273 273 273 273 273 273 273 273 273 272 271 270 270 269 269 270 270 269 269 269 269 268 268 267 266 264 261 259 257 256 256 256 257 257 257 257 257 256 256 256 256 256 257 258 259 261 263 265 267 269 272 275 278 281 283 285 286 287 289 291 292 293 294 294 293 292 292 291 291 290 290 290 290 290 290 289 288 288 287 286 285 284 284 285 285 286 286 286 286 286 286 286 286 286 286 286 285 286 nan nan nan nan nan nan nan nan nan nan nan 281 281 280 280 279 278 277 277 276 276 276 275 275 275 275 275 274 275 275 276 276 277 277 278 278 nan 280 281 281 281 280 280 281 281 281 282 282 282 282 282 282 282 282 283 284 284 283 281 280 278 278 277 276 276 276 276 277 276 276 276 275 275 274 274 274 275 275 275 275 275 275 275 275 275 275 275 275 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 253 253 253 253 253 253 253 254 254 255 256 256 257 257 258 258 259 259 259 259 259 259 259 259 260 260 260 259 259 259 259 259 259 258 258 258 257 257 257 257 258 259 260 262 263 265 266 267 268 269 269 269 269 268 268 267 266 266 266 266 266 266 266 266 265 265 265 265 265 265 265 265 265 264 264 264 265 265 265 266 266 266 267 267 267 268 269 270 271 272 273 275 276 276 276 276 277 277 277 277 276 275 273 271 269 267 267 267 267 268 268 269 269 269 269 269 268 267 265 263 261 260 258 258 257 257 257 257 257 256 256 256 255 255 255 255 255 256 258 260 263 266 269 271 273 276 278 279 281 283 285 287 288 290 291 292 292 293 292 292 292 291 290 289 288 287 287 287 287 287 287 286 285 285 286 286 286 286 286 286 286 286 286 286 286 285 285 285 285 285 285 285 nan nan nan nan nan nan nan nan nan nan 281 281 280 280 279 278 278 277 277 276 276 276 275 275 275 275 275 275 275 275 275 276 276 276 277 277 278 280 280 280 280 280 280 281 282 282 283 283 282 282 281 281 280 280 280 280 279 278 278 278 277 277 277 276 276 276 276 276 276 275 275 275 274 274 274 274 274 273 273 273 273 273 273 274 274 275 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 253 253 253 253 253 253 253 254 254 254 255 256 256 257 257 258 258 259 259 260 260 260 260 260 260 260 260 260 260 260 260 260 259 259 259 259 258 258 258 258 259 259 260 261 263 264 265 266 267 268 268 268 268 267 267 267 266 265 265 265 265 265 265 265 265 265 265 265 265 265 265 266 266 265 265 265 264 264 265 265 265 266 266 267 267 267 268 268 269 271 272 274 275 276 276 276 277 277 277 277 277 277 276 274 272 270 268 267 266 266 267 267 268 269 269 268 268 268 268 268 267 266 264 262 260 258 257 256 256 256 256 256 255 255 254 254 254 254 255 257 259 262 266 269 271 273 275 277 278 280 282 284 286 288 289 290 291 291 291 291 291 291 291 290 289 288 287 286 286 286 286 285 285 286 286 287 287 287 287 287 287 287 287 286 286 286 286 285 285 285 285 285 285 nan nan nan nan nan nan nan nan nan nan 281 281 280 280 279 279 278 278 277 277 276 276 275 275 275 275 274 275 275 275 275 276 276 276 276 277 278 279 279 280 280 280 280 281 282 282 282 282 281 280 279 278 278 277 277 277 277 277 277 277 277 277 276 276 276 275 275 275 275 275 275 275 275 274 274 274 273 273 272 272 272 273 274 274 275 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 252 252 252 253 253 253 253 254 254 254 254 255 255 256 256 257 257 258 258 259 259 259 260 260 260 260 260 260 260 260 261 261 261 261 261 260 260 260 260 259 259 259 260 261 262 263 264 264 265 266 266 266 266 266 266 266 265 265 264 264 264 264 264 264 264 264 265 265 265 265 265 265 265 265 266 266 265 265 265 264 265 265 265 266 266 267 267 267 268 269 270 271 272 274 275 275 276 276 276 276 276 276 276 275 275 274 274 272 270 268 267 266 267 268 268 268 268 268 267 267 268 269 270 270 269 266 263 260 258 257 256 256 256 256 256 255 254 253 252 253 254 256 259 262 265 268 270 272 273 275 276 278 280 282 285 287 289 290 291 291 291 290 290 290 290 289 289 288 287 286 285 284 283 283 284 285 287 287 287 288 288 288 288 287 287 287 286 286 286 286 286 285 285 285 285 285 nan nan nan nan nan nan nan nan nan 281 280 280 280 279 279 278 278 277 277 276 276 275 275 275 275 275 275 275 275 275 275 275 275 275 276 277 277 278 279 279 280 280 280 280 281 280 280 279 277 277 276 275 275 274 274 274 275 275 276 276 276 275 275 275 274 274 274 274 274 274 274 274 274 274 273 273 273 273 273 273 274 275 276 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 252 252 253 253 253 254 254 254 254 255 255 255 255 256 256 257 257 257 258 258 259 259 259 259 260 259 260 260 260 261 261 261 262 262 262 261 261 261 261 261 261 261 262 263 263 264 264 265 265 265 265 264 264 264 264 263 263 263 263 263 263 263 263 264 264 264 264 264 264 264 264 265 265 265 266 266 266 266 265 265 265 266 266 266 267 267 268 268 269 270 271 272 273 273 274 275 275 275 274 274 273 273 273 273 273 273 273 272 270 268 267 268 268 269 269 268 268 267 267 268 268 269 270 270 268 265 262 259 258 257 257 257 257 256 255 253 252 252 252 254 256 259 262 265 267 268 270 271 272 274 275 278 280 283 286 288 290 291 291 291 290 289 289 288 287 286 286 285 285 284 282 281 281 283 285 287 287 288 288 288 288 288 288 288 287 287 287 286 286 286 286 286 285 285 285 284 284 283 nan nan nan nan nan nan 281 280 280 280 279 279 278 278 277 277 276 276 275 275 275 275 274 274 274 275 275 275 275 275 275 275 275 275 276 277 277 278 278 278 278 278 278 277 277 276 275 275 274 273 273 273 273 273 274 274 274 274 274 274 274 274 273 273 273 273 273 273 273 274 274 274 274 274 275 275 275 275 276 277 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 252 252 253 253 253 254 254 254 254 254 255 255 255 255 256 256 256 257 257 257 257 258 258 258 259 259 259 259 260 260 260 261 261 262 262 262 262 262 262 262 262 262 263 263 264 264 264 264 264 263 263 263 263 262 262 262 262 262 262 262 262 263 263 263 264 264 264 264 264 264 264 265 265 265 266 266 266 266 266 266 266 266 266 266 267 267 268 268 269 270 270 271 271 272 273 273 274 273 273 272 271 270 271 271 271 272 272 272 271 270 269 269 269 269 269 269 268 268 267 267 268 268 269 269 268 266 264 262 260 260 260 259 259 257 255 254 252 252 253 255 257 260 262 264 266 267 268 269 270 271 273 275 277 280 283 286 288 290 291 291 291 290 288 286 285 283 282 282 282 281 281 280 279 281 283 286 287 288 288 288 289 289 289 288 288 287 287 287 286 286 286 286 286 285 285 284 284 284 283 283 nan nan nan 281 281 280 280 280 279 279 278 278 277 277 276 276 276 275 275 275 274 274 274 274 274 274 274 274 274 274 274 274 274 274 274 275 275 275 275 276 276 275 275 275 274 274 273 273 272 272 272 273 273 273 273 273 273 273 273 273 273 273 273 273 273 273 273 274 274 275 276 276 277 277 277 277 277 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 251 251 251 252 252 253 253 254 254 254 254 254 254 255 255 255 255 255 256 256 256 256 256 257 257 257 258 258 259 259 259 259 259 260 260 261 261 261 262 262 262 262 262 263 263 263 264 264 263 263 263 263 262 262 262 262 262 261 261 261 261 262 262 262 263 263 263 264 264 264 264 264 264 265 265 265 266 266 266 267 267 266 266 266 267 267 267 267 268 268 269 269 270 270 271 271 272 272 272 272 271 270 269 269 269 269 270 270 271 271 271 270 270 269 269 269 269 269 269 268 268 268 267 267 267 268 268 267 266 265 264 263 263 262 261 259 257 255 254 254 255 257 258 261 262 264 265 266 267 268 269 270 271 272 275 277 280 283 285 288 289 291 291 289 288 285 282 280 278 278 279 279 280 280 280 280 282 285 287 288 289 289 289 289 289 289 288 288 288 287 287 287 286 286 286 286 285 285 284 284 283 283 282 282 282 281 281 280 280 280 279 279 278 278 277 277 276 276 276 275 275 275 274 274 274 274 274 274 274 274 274 274 273 273 273 273 273 273 273 274 274 274 274 275 275 274 274 274 273 273 272 272 272 272 272 273 273 273 273 273 273 273 274 274 274 274 274 274 275 275 276 276 277 278 279 279 278 278 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 251 251 251 251 251 251 252 252 253 253 254 254 254 254 254 254 254 254 255 255 255 256 256 256 256 256 256 257 257 257 258 258 258 258 258 258 259 259 260 260 261 261 261 262 262 262 263 263 263 263 263 263 262 262 262 262 262 261 261 261 261 261 261 262 262 262 263 263 264 264 264 264 264 265 265 265 266 266 266 266 266 267 267 267 267 267 267 267 267 267 268 268 268 269 269 270 270 271 271 272 271 271 270 270 269 269 268 268 269 269 270 270 270 270 270 270 269 269 268 268 269 269 269 268 268 267 267 267 267 267 266 266 266 266 266 265 264 262 260 258 257 257 257 259 260 261 262 264 265 266 267 267 268 269 270 271 273 275 277 280 282 285 287 288 288 287 286 283 281 278 277 277 278 278 279 280 280 281 282 285 287 289 289 290 290 289 289 289 289 289 288 288 288 287 287 286 286 286 285 285 284 284 284 283 283 282 282 281 281 280 280 280 279 279 279 278 278 277 277 276 276 275 275 275 275 275 275 274 274 274 274 274 274 274 274 273 273 273 272 272 272 273 273 273 274 274 274 274 274 273 273 273 273 273 273 273 273 273 273 273 273 274 274 274 274 275 275 275 276 276 276 277 277 278 278 279 279 279 279 279 280 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 250 250 250 251 251 251 251 251 251 251 252 253 253 253 253 253 253 253 254 254 254 255 255 255 256 256 256 256 256 256 257 257 257 257 258 258 258 258 258 258 258 259 259 260 260 261 261 262 262 262 262 262 262 262 262 262 262 262 262 262 261 261 261 261 261 262 262 263 263 263 264 264 264 265 265 265 265 266 266 267 267 267 267 267 267 267 267 267 267 267 267 267 268 268 268 268 269 269 270 271 271 271 271 270 270 270 269 269 269 268 268 269 269 269 270 270 271 270 269 269 268 268 269 269 270 270 269 268 267 267 266 266 266 266 266 267 267 267 266 264 263 261 260 260 260 260 261 262 262 263 264 265 266 267 268 269 270 271 272 273 275 277 280 282 284 285 284 283 282 281 280 279 278 277 278 278 279 281 281 282 284 285 288 290 290 290 290 290 290 289 289 289 289 289 288 288 287 287 286 286 285 285 284 284 284 283 283 282 282 282 281 281 280 280 280 279 279 278 278 277 277 276 276 276 275 275 275 275 274 274 274 274 274 274 274 274 274 274 274 273 273 272 272 272 273 273 273 274 274 273 273 273 273 273 273 273 273 273 273 273 273 273 274 274 275 275 275 276 276 277 277 277 277 277 278 278 278 278 278 278 278 278 279 280 279 279 278 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 250 250 250 250 251 251 251 251 251 252 252 252 253 253 253 253 253 253 253 254 254 255 255 256 256 256 256 257 257 257 257 257 257 257 257 257 257 257 257 257 258 258 258 259 260 260 261 261 262 262 262 262 262 262 262 262 262 262 262 262 262 262 262 262 262 263 263 263 264 264 265 265 266 266 266 266 266 267 267 268 268 268 268 268 268 268 268 267 267 267 268 268 268 268 268 269 269 270 270 271 271 271 271 271 270 270 270 269 269 268 268 269 269 269 270 270 270 270 269 268 268 269 270 271 272 271 270 268 267 266 265 265 265 266 267 267 267 266 265 264 263 262 261 261 261 261 261 260 260 260 262 263 264 266 268 269 270 271 273 274 276 278 281 282 283 281 280 279 279 279 279 278 278 279 279 280 281 282 284 285 286 288 290 290 290 290 290 289 289 289 289 289 289 288 288 287 287 287 286 285 285 285 284 284 284 283 283 283 282 282 281 281 280 280 279 279 278 278 278 277 277 276 276 276 275 275 275 275 274 274 274 274 274 274 274 274 274 274 274 273 273 272 272 272 273 273 273 273 274 273 273 273 273 273 273 274 274 274 274 274 274 275 275 276 276 277 277 277 276 276 275 275 275 275 276 276 276 275 275 275 275 275 276 276 276 275 274 274 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 251 251 251 251 251 251 251 251 251 252 252 252 253 253 253 253 253 253 254 254 255 256 256 256 256 257 257 257 257 257 257 257 257 257 257 257 257 257 257 257 257 258 258 259 259 260 261 262 262 262 262 262 262 262 262 263 263 263 262 262 262 262 263 263 263 264 264 265 265 266 266 267 267 267 267 268 268 269 269 269 269 269 269 269 269 268 268 268 268 268 268 268 269 269 269 270 270 270 271 271 271 271 271 270 270 269 268 268 268 268 268 269 269 270 270 269 269 268 268 269 271 272 273 273 272 270 268 266 265 264 264 265 266 267 267 266 265 264 263 261 261 260 260 259 258 257 256 256 256 257 260 262 265 267 268 270 271 273 274 276 278 280 281 280 278 277 278 279 279 279 279 280 281 282 283 284 285 286 287 288 289 290 290 289 289 289 289 289 289 289 288 288 287 287 287 286 286 285 285 285 284 284 284 284 283 283 283 282 282 281 281 280 280 279 279 278 278 277 277 276 276 276 275 275 275 275 274 274 274 274 274 274 274 274 275 275 274 274 273 273 272 272 273 273 273 273 274 274 273 274 274 274 274 274 274 274 274 274 274 275 276 277 277 277 277 276 275 274 273 273 272 272 272 272 272 272 272 272 272 272 272 272 272 272 272 272 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 251 251 251 251 251 251 251 251 252 252 252 252 253 253 253 253 253 254 254 255 255 256 256 256 257 257 257 257 257 257 257 256 256 257 257 257 257 257 257 257 257 257 258 258 259 260 261 262 262 262 262 262 263 263 263 264 264 264 264 264 263 264 264 264 264 265 265 266 266 267 267 267 267 268 268 268 269 270 270 270 270 270 270 269 269 269 269 269 269 269 269 269 270 270 270 270 271 271 271 271 271 271 271 270 269 269 268 268 268 268 268 268 268 268 268 268 267 267 268 270 271 273 273 273 271 269 268 266 264 264 264 265 265 266 265 265 263 261 260 259 258 257 256 255 253 251 251 251 252 255 258 261 264 266 268 269 270 272 274 276 278 278 277 276 276 276 277 278 279 280 281 283 284 285 286 286 287 287 288 289 289 289 289 288 288 288 288 288 288 287 287 287 286 286 286 286 285 285 285 285 285 284 284 284 283 283 282 282 281 281 280 280 279 279 278 278 277 277 277 276 276 276 275 275 275 275 274 274 274 274 274 274 274 275 275 275 275 274 273 272 272 273 273 273 273 274 274 274 274 274 274 274 274 274 274 274 274 274 275 276 277 277 277 276 275 274 273 273 272 271 270 270 270 270 270 271 271 270 270 271 271 271 271 271 271 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 252 251 251 251 251 251 251 252 252 252 253 253 253 253 253 253 253 254 254 255 255 256 256 256 257 257 257 257 257 256 256 256 256 256 257 257 257 257 257 257 257 257 257 258 259 260 261 262 263 263 263 263 264 264 265 265 265 266 265 265 265 265 265 265 265 266 266 267 267 268 268 268 268 268 269 269 269 270 270 270 270 270 270 270 270 269 269 269 269 270 270 270 271 271 271 271 271 271 272 271 271 271 270 270 269 269 268 268 268 268 268 267 267 267 266 266 266 267 268 270 271 272 272 271 269 268 265 264 263 262 263 263 264 263 263 261 259 258 257 256 255 254 252 250 249 248 248 248 251 254 258 261 264 266 268 269 270 271 273 274 274 274 274 274 274 275 276 278 280 282 283 285 286 287 288 288 288 288 288 288 288 288 288 288 288 288 287 287 287 286 286 286 286 286 285 285 285 285 285 285 285 284 284 284 283 283 282 282 281 281 280 280 279 279 278 278 277 277 277 276 276 275 275 275 275 274 274 274 274 274 274 274 274 275 275 275 274 274 273 273 273 273 273 273 273 273 273 274 274 274 274 274 274 274 273 273 273 274 275 275 275 275 274 273 273 273 273 273 272 271 270 269 269 269 269 270 270 270 270 271 271 271 271 271 nan nan nan nan nan nan nan nan 271 272 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 252 252 252 251 251 251 251 252 252 253 253 253 253 253 253 253 253 254 254 254 255 255 256 256 256 257 257 257 257 256 256 256 256 256 256 257 257 257 258 258 257 257 257 257 258 258 260 262 263 264 264 264 265 265 266 266 266 267 267 267 266 266 266 266 266 266 267 267 268 268 268 268 268 268 269 269 269 270 270 270 270 270 270 270 270 270 270 270 270 271 271 271 271 271 272 272 272 272 272 272 271 271 270 270 270 269 269 268 268 268 267 267 266 266 266 265 265 266 266 267 268 269 269 268 267 266 264 262 261 260 260 260 260 260 260 259 258 257 256 255 254 252 251 249 248 247 247 248 249 251 254 258 262 265 267 268 269 269 269 270 270 271 272 273 273 274 275 276 278 280 282 284 285 287 288 288 288 288 288 288 288 288 288 288 288 287 287 287 286 286 286 286 286 286 286 286 286 286 285 285 285 285 284 284 283 283 282 282 281 281 280 280 279 279 279 278 278 277 277 276 276 276 275 275 275 274 274 274 274 274 274 274 274 274 275 275 274 274 273 273 273 273 272 272 272 273 273 273 273 273 273 273 273 273 273 273 273 273 274 274 274 274 273 273 273 274 274 274 273 272 272 271 270 nan nan nan 269 269 270 270 271 271 271 nan nan nan nan nan nan nan nan 273 274 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 252 252 252 252 252 252 252 252 253 253 254 254 254 254 254 253 253 253 253 254 254 255 255 255 256 256 256 256 256 256 256 257 257 257 257 257 257 257 257 258 258 258 258 257 257 258 259 260 262 263 264 265 265 266 266 266 267 267 267 267 267 267 267 267 267 267 267 267 268 268 268 268 268 269 269 269 270 270 270 271 271 271 271 271 271 271 271 271 271 272 272 272 272 272 272 272 272 272 272 271 271 271 270 270 270 270 269 269 268 268 267 267 266 266 266 265 265 265 265 266 266 266 266 265 264 263 262 261 260 258 258 258 258 258 259 258 258 258 257 256 255 253 252 250 249 249 249 249 249 250 252 256 259 263 266 268 268 268 268 268 269 270 271 272 273 273 274 275 277 278 280 282 283 285 286 286 286 287 287 288 288 288 288 288 287 287 287 286 286 286 286 286 286 286 286 286 286 286 286 285 285 285 284 284 283 283 283 282 282 281 281 280 280 279 279 279 278 278 277 277 276 276 276 275 275 275 274 274 274 274 274 274 274 274 274 274 274 274 273 273 273 272 272 272 272 272 272 272 272 273 272 272 272 271 272 272 272 273 273 273 273 273 273 273 273 274 274 274 274 274 273 272 271 nan nan 270 269 269 270 270 271 271 nan nan nan nan nan nan nan nan nan 275 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 252 252 252 252 252 252 252 252 252 252 253 253 254 254 254 254 253 253 253 253 253 254 254 254 255 255 255 256 256 256 256 256 257 257 257 257 257 257 257 257 257 258 258 258 258 258 258 258 259 260 262 263 264 265 266 266 266 266 267 267 267 267 267 267 268 268 268 268 268 268 268 268 268 269 269 269 270 270 270 271 271 271 271 271 272 272 272 272 272 272 272 272 272 272 272 272 272 272 272 272 271 271 271 270 270 270 270 269 269 268 268 267 267 266 266 266 266 265 265 265 265 264 264 263 263 262 262 261 261 260 259 258 258 258 259 259 260 260 260 259 258 257 256 254 253 252 251 251 250 251 251 253 255 258 261 265 267 268 268 268 268 269 270 271 272 273 274 274 275 275 277 278 280 281 283 284 284 285 285 286 287 287 287 287 287 287 287 287 286 286 286 286 286 286 286 286 286 286 286 286 285 285 285 284 284 284 283 283 282 282 282 281 281 280 280 279 279 279 278 278 277 277 277 276 276 275 275 275 274 274 274 274 274 274 274 274 274 274 274 273 273 273 272 272 272 271 271 271 272 272 272 272 272 271 271 271 271 271 272 272 272 272 272 272 273 273 273 274 275 275 275 274 273 272 272 271 271 270 270 270 270 270 nan nan nan nan nan nan nan 275 275 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 253 253 253 253 253 252 252 252 252 252 252 253 253 254 254 254 253 253 253 253 253 253 253 253 254 254 255 255 255 256 256 256 257 257 257 257 257 257 257 257 257 258 258 258 258 259 259 259 259 259 260 261 263 264 265 265 266 266 266 267 267 267 268 268 268 268 268 268 268 268 268 268 269 269 269 270 270 270 271 271 271 272 272 272 272 272 272 273 273 273 272 272 272 272 271 271 271 271 271 271 271 271 271 270 270 270 270 269 269 268 268 267 267 266 266 266 266 266 265 265 264 264 263 262 262 261 261 261 261 261 260 260 260 260 260 261 261 262 261 261 261 260 259 257 256 255 254 253 253 254 255 256 258 260 262 265 267 268 269 269 270 270 271 271 272 273 274 274 275 275 276 277 279 280 282 282 283 283 283 284 286 286 287 287 287 287 287 287 286 286 286 287 287 287 287 287 286 286 286 285 285 285 285 284 284 284 283 283 283 282 282 281 281 280 280 280 279 279 279 278 278 277 277 277 276 276 275 275 274 274 274 274 274 274 274 274 274 274 274 273 273 273 272 272 272 272 272 272 272 272 272 272 271 271 271 271 271 271 271 272 272 272 272 272 272 272 272 274 277 277 277 275 274 272 272 272 272 272 272 271 271 nan nan nan nan nan 275 275 276 276 276 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 254 253 253 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 252 252 251 251 251 251 251 252 252 252 252 252 252 253 253 254 255 255 255 255 255 255 254 255 254 255 255 255 255 255 255 255 256 nan nan nan 258 258 259 nan nan nan nan 260 261 261 262 262 262 263 263 264 264 264 264 264 264 265 266 267 268 268 268 268 268 268 269 269 269 269 270 270 271 271 271 271 271 271 271 270 270 270 270 270 270 270 270 270 270 270 270 270 270 270 270 270 270 270 270 270 270 270 270 270 270 269 269 268 268 267 267 267 267 266 266 266 266 266 266 266 266 266 265 265 265 265 265 265 265 264 264 264 264 264 264 264 264 264 264 264 264 264 264 264 264 264 264 264 265 265 265 266 266 267 267 267 268 268 269 270 272 274 275 277 277 278 278 277 277 277 277 277 278 279 279 280 280 280 280 281 281 282 283 284 284 285 285 286 286 286 286 286 286 286 286 286 286 286 286 286 285 285 285 285 285 285 285 285 285 284 284 284 284 283 283 283 282 282 282 281 281 280 280 280 279 279 278 278 278 277 277 277 277 276 276 276 276 276 276 276 275 275 274 274 273 273 273 272 272 272 272 272 272 272 272 272 272 272 272 273 273 274 275 275 274 273 273 273 273 273 274 274 275 275 276 277 279 280 280 280 279 279 278 277 277 277 276 276 276 276 276 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 254 254 253 253 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 251 251 251 252 252 252 252 252 252 252 252 252 253 253 253 254 255 255 256 256 255 255 255 255 255 255 255 255 255 256 256 256 256 nan nan nan nan nan nan nan nan nan nan nan nan 260 261 261 262 262 263 263 264 264 264 264 264 264 265 266 268 268 269 269 269 269 269 269 269 269 270 270 270 271 271 271 271 271 270 270 270 270 269 269 269 269 270 270 270 270 270 270 270 270 270 270 270 269 269 269 269 269 269 269 269 268 268 268 268 267 267 267 266 266 266 266 266 266 265 265 265 265 265 265 265 266 265 266 266 265 265 265 265 265 265 265 264 265 265 265 265 265 265 264 265 265 265 265 266 266 266 266 267 267 268 268 269 269 269 270 271 272 274 275 276 277 278 279 278 278 278 278 278 279 280 280 280 280 280 281 281 282 283 284 284 285 285 286 286 286 286 286 286 286 286 286 286 286 286 286 285 285 285 285 285 285 285 285 285 285 284 284 284 284 283 283 283 282 282 281 281 280 280 280 279 279 279 278 278 278 277 277 277 276 276 276 276 276 276 276 276 275 275 274 274 273 273 273 273 273 272 272 272 272 272 273 273 273 274 274 275 276 277 277 276 276 275 276 276 276 277 277 277 277 277 278 279 280 280 280 279 278 277 277 277 277 276 276 276 276 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 252 252 251 251 251 251 251 251 251 251 251 251 251 250 250 250 250 250 250 nan 251 251 251 251 251 252 253 254 254 255 255 255 255 255 255 254 254 254 nan 254 254 nan nan nan nan nan nan nan nan nan nan nan nan 254 254 254 254 254 254 nan nan 254 254 254 254 254 254 255 255 257 259 261 263 264 265 265 265 265 265 265 266 266 266 266 267 267 267 267 268 268 268 269 269 269 269 269 270 270 270 270 270 270 270 270 270 270 270 269 269 269 269 270 270 270 270 270 270 269 269 269 269 269 270 270 270 270 270 270 271 271 271 271 271 271 271 271 271 270 270 270 270 270 270 270 270 270 270 269 269 269 269 269 269 269 269 269 269 270 270 270 271 271 271 271 271 272 273 273 274 275 275 275 275 276 276 277 278 278 278 278 278 279 279 280 281 282 282 283 283 283 283 283 283 283 283 283 283 283 283 283 283 283 283 283 283 283 283 283 283 283 283 282 282 282 281 281 281 281 280 280 280 280 280 279 279 279 279 278 278 278 278 277 277 277 277 277 276 276 276 276 276 276 276 276 276 276 275 275 275 275 276 277 277 278 278 278 278 278 278 278 278 278 278 278 277 277 276 276 276 276 276 275 275 275 274 274 274 275 275 276 276 276 276 277 277 277 277 277 277 277 276 275 275 275 275 275 276 276 276 276 276 276 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 253 253 252 252 251 251 251 250 250 250 250 251 251 250 250 250 250 250 250 250 nan 251 251 251 251 251 251 251 252 253 254 254 255 255 255 255 254 254 254 254 253 254 254 254 255 255 255 255 nan nan nan nan nan nan nan 253 253 253 253 253 253 253 253 253 253 253 253 253 253 253 254 255 256 258 260 262 262 263 263 263 263 263 264 264 264 265 265 266 266 266 267 267 267 268 268 268 268 269 269 269 269 269 269 269 269 269 269 269 269 269 269 269 269 269 270 270 269 269 269 269 269 269 269 269 269 270 270 270 270 270 271 271 271 271 271 271 271 271 271 270 270 270 270 270 270 270 270 270 270 270 269 269 269 268 268 269 269 269 270 270 271 271 271 271 270 270 271 272 272 273 274 274 275 275 276 276 277 277 277 277 278 278 278 279 279 280 281 281 282 282 283 283 283 283 283 283 283 283 283 283 283 283 283 283 283 283 283 283 283 283 283 282 282 282 282 281 281 281 281 280 280 280 280 280 279 279 279 278 278 278 277 277 277 277 276 276 276 276 276 276 276 275 276 276 276 276 276 275 275 275 275 275 276 276 277 277 277 277 277 277 277 277 277 277 277 277 276 276 276 276 276 276 276 275 275 275 274 275 275 275 276 276 276 277 277 277 278 278 277 277 276 275 275 275 275 275 275 276 276 276 276 276 276 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 252 253 254 255 nan nan nan nan nan nan nan nan nan nan nan 258 257 256 nan nan nan nan nan nan 254 254 254 253 252 252 251 251 251 nan nan nan 250 251 251 251 nan nan nan 250 250 250 250 251 251 250 250 250 251 251 252 252 253 254 255 255 255 255 255 254 254 254 253 253 254 254 255 255 255 255 255 255 nan nan nan nan 253 253 253 254 254 253 253 253 253 253 253 253 253 252 252 252 253 253 254 256 258 259 261 262 262 262 262 262 262 262 263 264 264 264 265 265 265 266 266 267 267 267 268 268 268 268 269 269 269 269 269 269 269 269 269 269 268 268 269 269 269 269 269 268 268 268 269 269 269 269 269 270 270 270 270 270 271 271 271 271 271 271 271 271 270 270 270 270 270 270 270 270 270 270 270 270 269 269 269 268 268 268 268 269 270 270 271 271 271 271 270 271 271 271 272 272 273 274 274 275 276 276 277 277 277 277 277 278 278 279 280 280 281 281 282 282 282 282 282 282 282 282 282 282 282 282 282 282 282 282 282 282 282 282 282 282 282 282 281 281 281 281 281 281 280 280 280 280 280 279 279 279 279 278 278 277 277 277 276 276 276 276 276 276 275 275 276 276 276 276 276 275 275 275 275 275 275 275 275 275 276 276 276 276 276 276 277 277 277 276 276 276 276 276 276 276 276 276 276 275 275 275 275 275 275 276 276 276 277 277 278 278 278 278 277 276 275 275 275 275 275 275 275 275 275 276 276 276 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 251 252 253 253 254 nan nan nan nan nan nan nan nan nan 260 260 259 258 257 256 255 255 255 255 255 255 255 254 254 253 252 252 251 nan nan nan 251 251 251 251 251 nan 251 251 251 251 250 250 251 250 250 250 251 251 251 252 253 253 254 254 255 255 255 255 255 254 253 253 253 254 254 255 255 255 255 255 255 nan nan nan nan 254 254 254 254 254 254 253 253 253 253 253 253 252 252 252 252 252 253 254 255 256 258 260 261 261 262 261 261 262 262 262 263 263 264 264 264 264 265 265 266 266 266 267 267 268 268 268 269 269 269 269 269 269 269 268 268 268 268 268 268 268 268 268 268 268 268 269 269 269 269 269 269 270 270 270 270 271 271 271 271 271 271 271 271 270 270 270 270 270 270 270 270 270 270 270 270 269 269 269 268 268 268 268 269 270 270 271 271 271 271 271 271 271 272 272 272 273 273 274 275 276 276 277 277 277 277 278 278 279 279 280 280 281 281 281 281 282 282 282 282 282 282 282 282 282 282 282 282 282 282 282 282 282 281 281 281 281 281 281 281 281 281 281 280 280 280 280 280 279 279 279 279 278 278 278 277 277 276 276 276 276 276 275 275 275 276 276 276 276 275 275 275 275 275 275 275 274 274 274 275 275 275 275 275 276 276 276 276 276 276 275 275 275 276 276 276 276 276 276 276 276 275 275 275 276 276 276 276 276 277 278 278 278 277 276 276 276 276 276 276 276 275 275 275 275 nan nan nan 277 278 278 278 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 nan nan 255 256 257 258 258 259 259 260 260 259 259 258 258 257 256 256 256 255 255 255 255 254 254 253 253 252 252 252 252 252 252 252 252 252 nan 252 252 251 251 251 251 251 251 251 251 251 251 251 252 253 253 254 254 254 255 255 255 254 254 254 253 253 253 254 255 255 255 256 256 256 nan nan nan 254 254 254 254 254 254 254 254 254 253 253 253 253 252 252 252 252 253 253 254 255 256 258 260 261 262 262 262 262 262 262 262 263 263 263 263 264 264 264 264 265 265 266 266 267 267 268 268 268 268 269 269 269 268 268 268 268 268 268 268 268 268 268 268 268 268 268 268 269 269 269 269 269 270 270 270 270 270 271 271 271 271 271 271 270 270 270 270 270 270 270 270 270 270 270 270 270 270 270 270 269 269 269 269 270 270 271 271 272 272 272 272 272 272 272 272 273 273 274 275 275 276 276 277 277 277 277 278 278 279 279 280 280 280 280 281 281 281 281 282 282 282 282 282 282 282 281 281 281 281 281 281 281 281 281 281 281 281 281 280 280 280 280 280 280 280 280 280 280 279 279 279 279 278 278 278 277 277 277 276 276 276 276 275 275 275 275 275 275 275 275 275 275 275 275 274 274 274 274 275 275 275 275 275 275 275 275 276 276 276 276 276 275 275 276 276 276 276 276 276 276 276 275 275 276 275 275 275 276 276 277 277 277 277 277 277 276 276 276 276 276 276 276 276 276 276 276 277 277 277 278 278 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 256 255 255 254 254 254 254 254 255 255 255 256 256 257 258 258 259 259 260 260 259 259 258 257 256 256 256 256 255 255 255 254 254 253 253 253 253 253 253 253 253 253 253 253 252 252 252 252 nan nan nan 251 251 251 251 252 252 253 253 253 254 254 254 254 254 255 254 254 254 253 253 254 254 255 255 256 256 nan nan 255 255 254 254 254 254 253 254 254 254 254 254 253 253 253 253 253 253 253 253 254 255 256 257 259 260 261 262 263 263 263 263 263 263 263 263 263 263 263 263 263 264 264 264 265 266 266 267 267 267 268 268 268 268 268 268 268 268 268 268 267 267 267 268 268 268 268 268 268 268 269 269 269 269 269 270 270 270 270 271 271 270 270 270 270 270 270 270 271 270 270 270 270 270 270 270 270 270 270 271 271 270 270 269 270 270 271 271 271 272 272 272 273 273 273 273 273 273 273 274 275 275 276 276 276 276 277 277 277 278 278 279 279 279 279 279 280 280 280 281 281 281 281 281 281 281 281 281 281 281 281 281 281 281 281 280 280 280 280 280 280 280 280 280 280 280 280 280 279 279 279 279 279 279 279 278 278 278 277 277 277 276 276 276 275 275 275 275 275 275 275 275 275 275 275 275 275 275 275 275 275 275 275 275 275 275 275 275 275 275 276 276 276 276 276 276 276 276 276 276 276 276 276 275 276 276 275 275 275 275 276 276 277 277 277 277 277 277 277 277 277 276 276 276 275 276 276 276 276 276 277 277 277 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 257 nan nan nan 256 256 256 255 255 255 255 255 255 256 256 257 258 259 260 260 259 259 257 257 256 256 256 256 256 256 256 255 255 255 254 254 254 254 254 254 254 254 254 253 253 253 252 252 252 252 252 251 252 252 252 252 252 253 253 253 254 254 254 254 255 255 255 254 254 254 253 253 254 255 255 256 256 256 256 255 255 254 254 254 254 254 254 254 254 255 255 255 254 254 254 254 253 253 254 255 255 257 258 259 260 261 262 263 263 264 264 264 264 264 264 263 263 263 263 263 263 264 264 265 265 265 266 266 267 267 267 267 267 267 267 267 268 267 267 267 267 268 268 268 268 268 268 268 268 269 269 269 269 270 270 270 270 271 271 271 271 270 270 270 270 270 271 271 271 271 271 271 271 270 270 270 271 271 271 271 271 270 271 271 271 272 272 272 272 273 273 273 273 273 273 274 274 275 275 276 276 276 276 276 276 276 276 277 277 278 278 278 278 279 279 279 280 280 280 280 281 281 281 281 281 280 280 280 280 280 280 280 280 280 280 280 280 280 280 280 280 279 279 279 279 279 279 279 279 279 279 279 278 278 278 278 278 278 277 277 276 276 276 276 275 275 275 275 275 275 275 275 275 275 275 275 275 275 275 275 275 275 275 275 275 275 275 276 276 276 276 276 276 276 276 276 276 276 276 276 276 276 276 276 276 276 276 275 276 275 276 276 276 276 277 277 277 276 276 275 275 275 275 275 275 275 276 276 276 276 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 257 257 257 256 256 256 255 255 256 256 257 257 258 258 258 258 257 257 256 256 256 256 256 257 257 257 257 256 256 255 255 255 255 255 255 254 254 254 254 254 253 253 253 252 252 252 252 252 252 252 252 253 253 253 254 254 254 254 254 255 255 255 255 255 255 254 254 254 254 255 256 256 256 256 256 256 255 255 255 254 254 254 254 255 255 255 256 256 256 256 255 255 254 254 254 255 256 256 257 258 259 260 260 261 262 263 263 264 264 264 264 264 263 263 263 264 264 264 264 264 265 265 265 266 266 266 267 267 267 267 267 267 267 267 267 267 268 268 268 268 268 268 268 268 268 269 269 269 270 270 270 271 271 271 271 271 270 270 270 270 271 271 271 271 271 271 271 271 271 271 271 271 271 271 271 271 271 271 272 272 272 272 272 273 273 273 273 273 273 273 274 274 275 276 276 276 276 276 275 275 275 276 276 276 277 277 277 277 278 278 278 279 279 279 280 280 280 280 280 280 280 280 280 280 280 280 280 280 280 280 280 280 279 279 279 279 279 279 278 278 278 278 278 278 278 278 278 278 278 278 278 278 278 278 277 277 276 276 276 276 276 275 275 275 275 275 275 275 275 275 276 276 276 276 276 276 276 276 276 276 276 276 276 276 277 277 277 277 277 276 276 276 276 276 276 276 276 276 276 276 276 276 276 276 275 275 275 275 275 276 276 275 275 274 274 274 273 274 274 275 275 276 276 276 276 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 257 257 257 257 257 257 257 257 257 257 256 256 256 256 255 255 255 255 254 255 255 255 256 256 257 257 257 257 256 256 256 255 255 255 255 255 255 255 254 254 254 253 253 253 253 253 253 253 252 253 253 253 254 254 254 254 254 255 255 255 256 256 256 256 255 255 254 254 254 255 256 256 257 257 256 256 256 255 255 255 255 254 255 255 255 255 256 256 256 256 256 255 255 255 255 255 255 256 256 257 258 258 259 260 261 261 262 263 264 264 264 264 264 264 264 264 264 264 264 264 265 265 265 265 266 266 266 266 267 267 267 267 267 267 268 268 268 268 269 269 269 269 268 268 268 268 269 269 270 270 271 271 271 271 271 270 270 270 270 271 271 271 271 271 272 272 272 272 272 272 272 271 271 271 271 272 272 272 272 273 273 273 273 273 273 273 273 273 273 273 274 274 275 276 276 276 276 275 275 275 275 276 276 276 276 276 277 277 277 278 278 278 279 279 279 279 280 280 280 280 280 280 279 279 279 279 279 279 279 279 279 279 279 278 278 278 278 278 278 278 278 278 278 278 277 278 278 278 278 278 278 278 277 277 277 277 277 277 277 277 276 276 276 276 275 275 275 276 276 276 276 276 276 276 276 276 276 277 277 276 276 276 276 277 277 277 277 277 277 276 276 276 276 276 276 276 276 276 276 276 276 276 275 275 274 274 274 274 275 275 274 274 274 274 273 273 274 274 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 256 257 258 258 259 259 258 258 257 257 256 255 255 254 254 254 254 254 254 254 254 254 255 255 256 256 256 nan nan nan nan 256 255 255 255 255 255 255 254 254 254 254 254 254 254 254 253 253 253 253 254 254 255 255 255 255 255 255 255 255 256 256 256 256 256 256 255 255 255 255 256 256 256 256 256 256 256 256 255 255 255 255 255 254 255 255 255 255 255 255 255 255 255 255 254 254 254 255 255 256 257 257 258 258 259 260 261 262 263 263 264 264 264 264 264 264 264 265 265 265 265 265 265 265 266 266 266 266 266 266 267 267 267 267 268 268 269 269 269 269 269 269 268 268 268 269 269 270 270 271 271 271 271 271 271 271 270 270 271 271 271 271 271 272 272 272 272 272 272 272 272 272 272 272 272 272 273 273 273 273 273 273 273 273 273 273 273 273 273 273 274 275 276 276 276 276 275 275 275 276 276 276 276 276 276 276 277 277 277 277 278 278 278 278 279 279 279 279 279 279 279 279 279 279 279 279 279 279 278 278 278 278 278 278 278 278 277 277 277 277 277 277 277 277 277 277 277 277 277 277 277 277 277 277 277 278 278 278 278 277 277 276 276 276 276 276 276 276 276 276 276 276 276 276 277 277 277 277 277 277 276 276 277 277 277 277 277 277 277 277 277 277 277 277 276 276 275 275 275 275 275 275 274 274 274 274 274 275 275 274 274 274 274 275 275 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 257 256 256 256 257 257 nan nan nan 258 258 257 257 nan nan nan 255 255 254 254 254 254 254 253 254 254 254 254 254 255 255 255 nan nan nan 256 255 255 255 255 255 255 255 255 255 255 254 254 254 254 254 254 254 254 255 255 256 255 255 255 255 255 255 255 255 256 257 257 257 257 257 256 256 256 256 256 256 256 256 256 256 256 256 256 255 255 254 254 254 254 254 254 254 255 255 255 254 254 254 254 254 255 255 256 257 257 257 258 258 259 260 262 263 263 264 264 264 264 264 265 265 265 265 265 265 265 265 265 265 266 266 266 266 266 266 267 267 268 268 268 269 269 269 269 269 269 269 269 269 269 270 270 270 271 271 271 271 271 271 271 271 271 271 271 271 271 272 272 272 272 272 272 273 273 273 273 273 273 273 273 273 273 274 273 273 273 273 273 273 273 273 273 273 273 274 275 275 275 275 275 275 276 276 276 276 276 276 276 276 276 277 277 277 277 277 277 278 278 278 278 278 278 279 279 279 279 279 279 279 279 278 278 278 278 278 277 277 277 277 277 277 277 277 277 277 277 277 277 277 277 277 277 277 277 277 277 277 278 278 278 278 278 277 277 276 276 276 276 276 276 276 276 275 275 275 276 277 277 277 278 278 277 277 277 277 277 277 277 277 277 277 277 277 277 277 277 277 276 275 275 275 275 275 275 275 274 274 274 275 275 275 275 275 275 275 276 276 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 257 257 257 257 257 nan nan nan nan nan nan 256 nan nan 256 256 256 256 256 256 255 255 254 254 254 253 253 254 254 254 254 254 nan nan nan 255 nan nan nan nan nan nan 255 255 255 255 255 255 255 255 255 255 255 255 256 256 256 256 256 255 255 254 254 255 255 255 256 257 258 258 258 258 258 257 257 257 257 257 257 257 257 257 257 257 256 256 255 255 254 254 253 253 254 254 254 254 254 254 254 254 255 255 255 256 257 257 258 258 258 259 260 261 262 263 264 264 264 264 265 265 265 265 265 265 265 265 265 265 265 265 265 265 265 266 266 266 267 267 268 268 268 269 269 269 269 269 269 269 269 269 270 270 270 271 271 271 270 270 271 271 271 271 271 272 272 272 272 272 272 272 272 273 273 273 274 274 273 273 273 274 274 274 274 274 274 273 273 273 273 273 273 273 273 273 274 274 275 274 275 275 275 276 276 277 277 277 277 277 277 277 277 277 277 277 277 277 277 277 278 278 278 278 278 279 279 279 279 279 279 279 278 278 278 278 277 277 277 277 277 277 277 277 276 276 276 276 276 277 276 276 276 276 276 276 276 277 277 277 278 278 278 277 277 276 276 276 276 276 276 276 276 276 275 275 275 276 276 277 278 278 278 278 278 277 277 277 277 277 277 277 277 277 277 277 277 277 277 276 276 275 274 274 274 274 275 275 275 275 276 276 276 276 276 276 277 277 277 277 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 257 258 258 258 257 257 nan nan nan nan nan nan nan 255 256 256 257 258 258 257 257 256 256 255 255 254 254 254 254 254 254 253 nan nan nan nan nan nan nan nan nan 255 255 255 255 254 254 255 255 255 256 256 256 256 257 257 257 257 257 256 256 255 255 255 255 255 256 256 257 258 259 259 259 259 259 259 259 259 259 258 258 258 258 257 257 257 256 256 255 254 254 254 254 254 254 254 254 254 254 255 255 256 256 256 257 258 258 259 259 260 260 261 262 263 264 264 265 265 265 265 265 265 265 265 265 265 265 265 265 264 264 264 265 265 265 265 266 266 267 267 268 268 268 268 269 269 269 269 269 270 270 270 270 270 271 270 270 270 270 271 271 271 272 272 272 272 272 272 272 273 273 273 273 274 274 274 274 274 274 274 274 274 274 274 274 274 274 273 273 273 273 273 273 274 274 274 274 274 274 274 275 276 276 277 277 277 277 278 278 278 278 278 278 278 278 278 278 278 278 278 278 278 278 279 279 279 279 279 279 279 279 278 278 278 278 278 277 277 277 277 277 277 276 276 276 276 276 276 276 276 276 276 276 276 276 276 277 277 277 277 277 277 276 276 276 276 276 276 276 276 276 276 276 275 275 276 276 277 277 278 278 278 278 278 277 277 277 277 277 277 277 277 277 277 277 277 277 276 276 275 275 275 275 275 275 275 275 276 276 276 277 277 277 277 278 278 278 278 278 278 278 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 256 256 257 257 256 256 nan nan nan nan nan nan 252 253 254 255 257 258 258 258 257 257 256 256 256 256 256 256 256 255 255 nan nan nan nan nan nan nan nan nan nan nan 256 255 255 254 254 254 254 255 255 256 256 257 257 258 258 258 258 257 257 256 256 255 255 255 255 256 256 257 258 258 259 259 260 260 261 261 261 261 260 259 259 258 258 257 257 257 256 256 255 255 255 254 254 254 255 255 255 255 256 256 256 257 257 258 259 260 260 261 262 262 262 263 263 264 264 265 265 265 265 265 265 265 265 265 265 265 265 264 264 264 264 264 265 265 265 266 266 267 267 267 268 268 268 268 269 269 269 269 270 270 270 270 270 270 270 270 271 271 271 271 272 272 272 273 273 273 273 273 273 273 273 274 274 274 274 274 274 274 274 274 274 274 274 274 274 274 274 273 273 274 274 274 274 274 274 273 274 274 275 276 276 276 277 277 278 278 278 278 279 279 279 279 279 279 279 279 279 278 279 279 279 279 279 279 279 279 279 279 279 279 279 278 278 278 278 278 277 277 277 277 277 277 277 277 276 276 276 276 276 276 276 276 276 276 277 277 277 277 277 276 276 276 276 276 276 276 276 276 276 276 276 276 276 276 276 277 277 278 278 278 278 278 278 277 277 277 277 277 277 277 277 277 277 277 277 277 276 276 276 275 275 275 275 275 276 276 276 276 277 277 277 278 278 278 278 278 278 278 278 278 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 254 254 255 255 255 255 nan nan nan nan 251 251 251 251 252 254 255 257 257 258 257 257 257 nan 256 257 257 257 257 257 nan nan nan nan nan nan nan nan nan nan nan nan nan nan 255 254 254 253 253 253 253 254 255 256 257 258 259 259 259 258 258 257 257 256 256 256 256 256 255 256 256 256 257 258 259 261 262 262 263 263 262 261 260 259 259 258 258 257 257 257 256 256 256 256 255 255 256 256 256 256 256 256 256 256 257 257 258 259 260 261 261 262 262 261 262 262 262 263 264 264 265 265 265 265 265 265 265 265 265 265 264 264 264 264 265 265 265 265 266 266 267 267 267 267 267 268 268 268 269 269 269 270 270 270 270 270 271 271 271 271 271 271 272 272 273 273 273 273 273 273 274 274 274 274 274 275 275 275 275 275 274 274 274 274 274 274 274 274 274 274 274 274 274 274 274 274 274 274 274 274 275 276 276 277 277 277 278 278 278 279 279 279 279 279 279 279 279 279 279 279 279 279 279 279 279 279 279 279 280 280 280 279 279 279 279 278 278 278 278 278 277 277 277 277 277 277 277 276 276 276 276 276 276 276 276 276 276 276 276 276 276 276 276 276 276 276 276 276 276 276 276 276 276 276 276 276 276 277 277 278 278 278 278 278 278 278 277 277 277 277 277 277 277 277 277 277 277 277 277 277 276 276 276 275 275 275 276 276 276 277 277 277 277 278 278 279 279 278 278 278 278 278 277 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 253 253 253 254 254 254 253 252 252 251 251 251 252 252 253 254 255 256 256 256 256 256 257 257 257 258 258 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 256 255 255 254 253 253 252 253 253 254 255 257 258 259 259 259 259 258 258 257 257 256 256 256 255 255 255 255 255 256 257 259 260 262 263 264 264 263 262 261 261 260 259 259 259 258 258 257 257 256 256 256 257 257 257 257 257 257 256 256 256 257 257 258 258 258 259 259 259 259 259 259 260 260 261 262 263 264 264 264 265 265 265 265 265 265 265 265 265 265 265 265 265 266 266 266 267 267 267 267 267 267 267 268 268 268 269 269 270 270 270 270 271 271 271 271 271 271 272 272 273 273 274 274 274 274 274 274 274 275 275 275 275 275 275 275 275 275 275 275 275 274 274 274 274 275 275 275 275 275 275 275 274 274 275 275 275 276 276 277 277 277 278 278 278 278 279 279 279 279 279 279 279 279 279 280 280 280 280 280 280 280 280 279 279 280 279 279 279 279 279 279 278 278 278 278 278 278 277 277 277 277 277 277 276 276 276 276 276 276 276 276 276 276 276 276 276 275 275 275 275 275 275 275 276 276 276 276 276 276 276 276 276 276 277 278 278 278 278 278 278 277 277 277 277 277 277 277 277 277 277 276 276 276 276 277 276 276 276 276 276 276 276 276 276 277 277 277 278 278 278 279 279 278 278 278 278 277 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 253 253 253 254 254 253 253 252 252 252 252 252 253 253 253 254 255 255 256 256 256 257 257 258 258 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 257 257 256 255 254 253 253 253 253 253 254 255 256 257 259 259 259 259 259 258 257 257 257 256 256 255 255 254 254 254 255 256 257 258 260 261 262 263 263 263 262 262 262 261 261 260 259 258 258 257 257 258 258 258 258 257 257 257 256 256 256 256 257 257 257 256 256 256 256 256 256 256 257 258 259 260 261 262 263 263 263 264 264 264 264 265 265 265 265 265 265 266 266 266 267 267 267 267 267 267 267 266 267 267 267 268 268 269 269 270 270 271 271 272 272 271 271 272 272 273 273 273 274 274 274 274 275 275 275 275 275 275 275 275 275 275 275 275 275 275 275 274 274 274 274 275 275 275 276 276 276 276 275 275 275 275 276 276 277 277 277 278 278 278 278 278 278 278 278 278 278 278 279 279 279 279 280 280 280 280 280 280 279 279 279 279 279 279 279 279 279 278 278 278 278 278 278 278 278 278 277 277 277 277 276 276 276 276 276 276 276 276 276 276 276 276 275 275 275 275 275 275 276 276 276 276 276 276 276 276 276 276 276 276 277 277 278 278 278 278 277 277 277 277 277 277 277 277 277 277 276 276 276 276 276 276 276 276 276 276 276 276 276 276 276 277 277 278 278 278 278 278 278 278 278 277 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 253 253 254 254 254 254 254 253 253 253 253 253 253 253 253 254 254 255 255 256 256 256 257 257 258 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 258 258 257 256 255 255 254 254 254 254 254 255 256 257 258 259 259 259 259 258 258 257 257 256 256 255 255 255 254 254 254 254 255 256 257 259 260 261 262 263 263 263 262 262 261 260 259 259 259 259 259 259 258 258 257 257 257 257 257 257 257 257 257 256 256 255 255 255 255 256 256 257 257 258 259 260 261 261 262 262 263 263 263 264 264 265 265 265 265 266 266 266 267 267 267 267 267 267 267 266 266 266 266 267 267 268 268 269 269 270 271 271 272 272 271 271 272 272 273 273 274 274 274 275 275 275 275 275 275 275 275 275 275 275 275 275 275 275 275 275 274 274 274 274 275 275 276 276 277 277 277 276 276 276 276 276 276 277 277 277 278 278 278 278 278 278 277 277 277 277 278 278 278 278 279 279 279 279 279 279 279 279 279 279 279 278 278 278 278 278 278 278 278 278 278 278 278 278 278 277 277 277 277 277 276 276 276 276 276 276 276 276 276 276 276 275 275 275 275 275 276 276 276 276 276 276 276 276 276 276 276 276 276 276 277 277 277 277 277 277 277 277 277 277 277 277 277 277 277 276 276 275 275 275 276 276 276 277 276 276 276 276 276 276 277 277 278 278 278 278 278 278 277 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 nan nan nan nan 254 254 254 254 254 254 254 254 255 255 255 255 255 256 256 257 257 nan nan nan nan 256 255 254 253 253 nan nan nan nan nan 258 258 257 257 256 255 255 nan nan nan 254 255 256 257 258 258 259 259 258 258 257 257 256 256 256 256 255 255 254 254 253 253 252 253 254 255 257 259 260 262 262 262 262 261 260 260 260 260 260 259 259 258 258 257 257 257 257 257 258 258 258 258 258 257 256 256 256 256 257 258 258 258 258 258 258 259 260 261 262 262 263 263 264 264 265 265 265 266 266 266 266 267 267 268 268 268 267 267 266 266 266 266 266 267 267 268 268 269 270 271 271 272 272 271 271 272 272 273 273 274 274 274 275 275 275 275 275 275 275 275 275 275 275 275 275 275 275 275 275 274 274 274 275 275 276 276 277 277 278 278 277 277 277 277 276 277 277 277 277 277 278 278 278 278 278 277 277 277 277 277 278 278 278 278 278 279 279 279 279 279 279 278 278 278 278 278 278 278 278 278 278 278 278 278 278 278 278 277 277 277 277 277 277 277 277 276 277 276 276 276 276 276 276 276 276 276 276 276 276 276 276 276 276 276 276 276 276 276 276 276 276 276 276 276 277 277 277 277 277 277 277 277 277 277 277 277 277 277 277 276 276 275 275 276 276 276 277 277 277 276 276 277 277 277 277 278 278 278 278 277 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 255 255 255 255 255 254 254 254 254 254 254 254 255 255 256 256 nan 257 256 256 255 255 254 nan nan nan nan nan 256 256 257 257 257 256 nan nan nan nan nan 254 255 256 257 257 258 258 258 258 258 257 257 256 257 257 256 256 256 255 254 253 251 251 251 252 253 255 256 258 259 260 260 260 259 259 259 259 260 259 259 258 258 257 257 257 258 258 259 259 259 259 259 258 258 258 258 258 258 259 259 258 258 258 257 258 259 260 261 262 263 263 264 265 265 265 266 266 266 266 266 266 267 267 267 268 267 267 266 266 266 266 266 266 267 267 268 269 270 271 271 271 271 271 271 272 273 273 274 274 274 274 275 275 275 275 275 275 275 275 275 275 275 275 275 275 275 275 274 274 274 274 275 275 276 277 277 278 278 278 278 278 277 277 277 277 277 277 277 277 277 278 278 278 278 277 277 277 277 277 277 278 278 278 278 278 278 278 278 278 278 278 278 278 277 277 277 277 278 278 278 278 278 278 278 278 278 277 277 277 277 277 277 277 277 277 277 277 277 276 276 276 276 276 276 276 276 276 276 276 276 276 276 277 277 277 276 276 276 276 276 276 276 276 276 277 277 277 277 277 277 277 277 277 277 277 277 277 277 276 276 276 276 276 276 276 277 277 277 277 277 277 277 278 278 278 278 277 277 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 256 256 255 255 254 254 254 253 253 253 253 253 254 254 255 nan nan nan nan nan nan nan nan nan nan nan 252 253 254 255 256 256 nan nan nan nan nan nan 254 254 255 nan nan nan nan nan 257 257 257 257 257 257 257 257 257 256 255 254 252 251 250 250 251 252 253 254 255 256 256 257 257 257 258 258 259 259 259 258 257 256 256 256 257 257 258 259 259 258 258 258 258 258 258 259 259 259 258 258 257 257 256 257 258 259 261 262 263 264 264 265 265 265 266 266 266 266 267 267 267 267 267 268 268 267 267 267 266 266 266 266 267 267 268 269 270 270 271 271 271 270 271 271 272 273 273 274 274 274 274 274 275 275 275 275 275 275 276 275 275 275 275 275 275 274 274 273 274 274 275 275 276 277 277 278 278 278 278 278 278 277 277 277 277 277 277 277 277 277 278 278 278 278 278 278 278 278 278 278 278 278 278 278 278 278 278 278 277 277 277 277 277 277 277 277 278 278 278 278 278 278 278 278 278 278 277 277 277 277 277 277 277 277 277 277 277 277 277 277 277 277 277 276 276 276 276 276 276 276 276 277 277 276 276 276 276 276 276 276 276 276 276 276 276 276 277 277 277 277 277 277 277 277 277 277 277 277 277 276 276 276 276 276 276 276 277 277 278 278 278 278 278 278 277 277 276 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 256 255 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 251 252 252 nan nan nan nan nan nan nan nan nan 253 254 nan nan nan 255 255 255 255 255 254 254 254 255 255 255 255 255 254 254 253 253 253 252 252 252 252 253 254 255 255 254 254 255 nan nan nan nan nan nan nan 251 250 251 251 251 251 251 252 252 253 253 254 255 255 255 256 256 256 256 256 257 258 259 261 262 263 264 264 264 264 264 265 265 266 267 267 268 268 268 268 268 268 268 268 268 268 268 268 267 267 267 268 268 269 269 270 270 270 270 270 271 272 272 273 273 273 273 273 273 273 274 274 275 275 275 275 275 275 275 275 274 274 273 272 272 273 274 275 275 276 276 277 277 277 277 277 278 278 278 278 278 278 278 278 278 278 278 278 278 278 278 278 278 278 278 278 278 278 278 277 277 277 277 277 277 277 277 277 277 277 277 278 278 278 278 278 278 278 278 278 278 278 278 278 278 278 278 278 277 277 277 277 277 277 277 277 277 277 277 277 277 277 277 276 276 276 276 276 276 276 276 276 276 276 276 276 276 276 275 275 275 275 276 276 277 277 277 277 277 277 277 277 277 277 277 277 277 277 277 276 276 276 276 276 277 278 278 278 278 278 277 277 nan nan nan nan nan nan nan 276 276 276 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 258 258 258 258 258 259 259 259 259 259 259 259 258 258 258 258 258 258 259 259 259 259 259 259 259 nan 259 259 258 259 259 260 260 260 260 260 261 261 262 263 264 264 264 264 264 264 264 264 263 263 263 263 263 263 263 262 262 262 261 261 261 261 261 261 260 260 259 259 260 260 261 262 262 263 263 263 263 263 262 262 262 262 262 261 261 261 261 262 262 262 262 262 262 262 262 262 261 261 260 260 260 261 261 263 264 265 265 266 267 268 269 270 271 271 270 270 270 270 271 271 272 273 274 275 276 277 278 278 279 278 277 277 276 275 275 275 275 275 275 276 276 276 277 276 276 275 275 275 274 274 275 275 276 276 277 277 277 277 277 277 277 277 277 277 277 277 277 277 277 278 278 278 278 278 278 278 278 278 278 277 277 277 277 277 277 277 277 277 277 277 277 277 277 277 277 277 277 277 277 277 277 277 nan 277 277 277 276 276 276 276 276 nan nan nan nan nan 276 276 276 276 275 275 275 275 275 275 274 274 274 274 274 274 274 273 273 273 273 274 274 274 274 274 274 274 273 273 273 274 274 274 274 275 275 275 275 275 275 275 275 275 275 275 275 275 nan nan 275 275 275 276 276 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 259 259 259 259 259 259 259 259 259 259 259 259 258 258 258 258 259 259 259 259 258 nan nan nan nan 258 258 259 259 260 260 260 260 260 260 261 262 263 264 264 264 264 264 264 264 264 264 264 263 263 263 263 263 263 262 262 262 262 261 261 262 262 262 261 261 261 261 261 262 262 263 263 263 263 263 263 262 262 262 262 262 261 261 261 262 262 262 262 262 263 263 263 263 263 262 262 262 262 262 262 263 263 264 265 266 267 267 269 270 271 271 272 271 271 271 271 271 271 272 273 273 274 275 276 276 277 277 277 277 276 276 276 275 275 275 275 275 276 276 277 277 277 277 276 276 276 275 275 275 275 275 276 276 277 277 277 277 277 277 278 277 277 277 277 277 277 277 278 278 278 278 279 279 278 278 278 278 278 278 277 277 277 277 277 277 277 277 277 277 277 277 277 277 277 277 277 277 277 277 277 277 277 277 nan nan nan 276 275 275 276 276 276 276 nan 276 276 275 275 275 274 275 274 274 274 274 274 273 273 273 273 273 273 273 273 273 273 274 274 274 274 274 274 274 273 274 274 274 274 275 275 275 275 275 275 275 275 275 275 275 275 nan nan nan nan nan 275 275 275 275 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 259 259 259 259 259 259 259 259 259 259 259 259 259 259 259 259 259 259 259 259 nan nan nan nan nan 258 259 259 260 261 261 261 262 262 263 263 264 264 265 265 265 264 264 264 264 265 264 264 264 264 263 263 263 262 262 262 262 262 262 262 261 261 261 261 261 261 261 261 262 262 262 262 262 262 262 262 262 262 262 262 262 262 262 262 262 262 262 262 262 263 263 263 263 263 263 264 264 264 264 265 265 265 266 267 268 270 271 271 272 272 273 273 273 273 272 272 272 272 272 273 273 274 274 275 275 275 275 275 275 275 275 275 275 275 275 275 276 276 277 277 277 277 277 277 276 276 275 275 275 275 276 276 276 276 276 276 277 277 277 277 277 277 277 277 277 277 278 278 279 279 279 279 279 278 278 278 278 278 278 278 278 278 278 277 nan nan nan nan nan nan 277 277 277 277 277 277 276 276 276 276 nan nan nan nan 275 274 274 274 274 274 274 274 274 274 273 273 273 273 273 273 273 273 273 273 273 273 272 272 272 272 273 273 273 273 273 274 274 274 274 274 274 274 274 274 274 274 274 274 274 274 274 275 275 275 275 nan nan nan nan nan 274 274 275 275 275 275 276 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 259 259 259 259 260 260 260 260 260 260 260 260 260 260 260 260 260 260 260 260 260 260 260 259 nan nan nan nan nan 259 260 261 262 262 263 263 264 264 264 265 265 265 265 265 265 265 265 265 265 265 265 264 264 263 263 262 262 262 262 262 262 261 261 261 261 260 260 260 260 261 261 261 262 261 262 262 262 262 262 262 262 262 262 262 262 262 262 262 262 262 262 262 262 263 263 263 264 264 264 264 264 265 265 265 266 267 268 270 271 272 272 273 273 274 274 274 273 273 272 272 272 273 273 273 274 274 275 275 275 275 275 275 275 276 275 275 275 275 275 276 276 276 277 277 277 277 277 276 275 275 275 275 275 276 276 276 276 276 276 276 277 277 277 277 277 276 277 277 278 278 278 278 279 279 279 279 279 278 278 278 278 278 278 278 278 nan nan nan nan nan nan nan nan nan nan 277 277 276 276 276 276 nan nan nan nan 274 274 274 274 274 274 274 274 273 273 273 273 273 273 273 272 272 273 273 272 272 272 272 272 272 272 272 272 273 273 273 273 273 274 274 274 274 274 274 274 273 273 273 274 274 274 274 274 275 275 275 275 nan 275 275 275 274 274 274 274 275 275 276 276 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 nan nan nan 259 259 259 259 259 259 259 259 259 259 259 259 259 260 260 260 260 260 260 260 261 261 261 261 261 261 261 261 261 261 261 nan nan nan nan nan nan nan 260 261 262 263 263 264 264 264 265 265 266 266 266 266 266 266 266 266 266 266 266 265 265 264 263 263 263 262 262 262 262 261 261 261 261 260 260 260 260 260 261 261 261 261 261 261 262 262 262 263 263 262 262 262 262 262 262 262 262 262 262 262 262 263 263 263 263 263 264 264 264 264 265 265 266 267 268 269 270 272 273 273 274 274 274 274 274 274 273 273 273 273 273 273 274 274 275 275 275 275 275 275 275 275 275 275 275 274 275 275 275 275 275 276 276 276 276 276 276 275 275 275 275 275 276 276 276 276 276 276 276 277 277 277 276 276 276 277 277 278 278 278 278 278 278 278 278 278 nan 278 278 278 278 278 278 278 278 nan nan nan nan nan nan nan nan nan 276 276 276 276 275 275 275 274 274 274 274 273 273 273 273 273 273 273 272 272 272 272 272 272 272 272 272 272 272 272 272 271 271 271 272 272 272 272 272 273 273 273 273 274 274 274 274 274 274 273 273 273 273 274 274 274 274 275 275 275 275 275 275 275 275 275 274 274 274 274 275 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 258 258 258 258 nan nan nan nan nan nan nan nan nan 259 259 259 259 259 259 259 259 259 259 259 259 260 260 260 260 260 260 261 261 261 261 261 262 262 262 262 262 262 262 262 nan nan nan nan nan nan nan 260 260 261 262 262 263 263 263 264 265 265 266 267 267 267 267 267 267 267 267 267 266 266 265 264 264 263 263 262 262 262 262 261 261 261 261 261 260 260 260 260 261 261 261 261 261 262 262 263 263 263 263 263 262 262 262 262 262 262 262 262 262 262 262 263 263 263 263 263 263 264 264 264 265 266 266 267 268 269 271 272 273 274 274 274 274 274 274 274 274 274 273 273 273 274 274 275 275 275 275 275 275 275 275 275 275 274 274 274 274 274 274 274 274 274 274 275 275 275 274 274 274 274 274 275 275 276 276 276 276 277 277 277 276 276 276 276 277 277 277 278 278 278 278 278 278 278 nan nan nan nan 278 278 278 278 278 278 278 277 nan nan nan nan nan 277 277 276 276 276 275 275 275 275 274 274 274 273 273 273 273 273 272 272 272 272 272 271 271 271 271 271 271 271 271 271 271 271 271 271 271 271 272 272 272 272 272 273 273 273 274 274 274 274 274 273 273 273 273 273 273 274 274 274 274 274 274 274 275 275 275 275 275 275 275 275 275 275 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 258 258 258 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 258 258 258 259 259 259 259 259 259 259 259 259 259 259 260 260 260 260 261 261 261 262 262 262 262 262 263 263 263 263 263 263 262 262 262 261 261 260 260 259 259 259 259 259 260 260 260 260 261 261 262 263 264 265 267 267 268 268 269 269 268 268 268 267 267 266 266 265 264 264 263 263 263 263 263 263 263 262 262 262 262 262 262 262 262 263 263 264 264 264 264 263 263 263 263 262 262 262 262 262 262 263 263 263 263 263 263 263 263 263 263 264 264 265 266 266 267 268 268 269 270 270 271 272 272 273 273 273 273 273 273 273 273 273 274 274 275 275 276 276 276 276 276 276 275 275 275 274 274 274 274 274 273 273 273 272 272 272 272 272 272 271 271 271 272 272 273 274 275 276 276 276 276 276 276 276 277 277 nan nan nan nan nan nan nan nan nan nan nan nan nan 278 278 278 278 278 278 278 277 277 277 277 277 277 276 276 276 276 275 275 274 274 274 274 273 273 273 272 272 272 272 272 272 271 271 271 271 270 270 270 269 269 269 270 270 270 270 270 270 270 271 271 270 270 271 271 271 272 272 272 272 273 273 273 273 273 273 273 274 274 274 274 274 274 274 274 274 274 274 274 274 nan nan 276 276 275 274 273 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 258 259 259 259 259 259 259 260 260 260 260 260 260 261 261 261 261 261 262 262 262 262 nan 263 263 263 263 263 263 263 263 263 263 263 263 262 262 262 262 262 262 263 263 263 262 262 262 262 261 261 261 261 261 261 262 262 263 263 264 264 265 265 266 266 266 266 267 267 267 nan nan nan 265 265 265 265 265 265 264 264 265 265 264 264 264 264 264 264 263 263 263 263 262 262 262 262 262 262 262 263 263 263 263 263 263 263 263 263 263 263 263 263 263 264 265 266 267 268 268 269 269 270 270 270 271 272 272 272 272 272 272 272 272 272 272 272 272 272 274 275 276 277 277 277 277 276 276 276 276 276 275 275 275 275 275 275 275 275 275 274 274 274 273 273 273 273 274 274 274 274 275 275 276 276 277 277 277 nan nan nan nan nan nan nan nan nan nan 276 276 276 276 277 277 276 277 277 277 277 277 277 277 277 276 276 276 275 275 274 274 274 274 273 273 273 272 272 272 272 271 271 271 271 270 270 270 269 268 268 268 267 267 267 267 267 267 267 267 267 267 267 268 268 268 268 268 268 268 269 270 271 272 273 273 273 273 273 273 273 272 272 272 272 273 273 273 273 273 273 272 272 272 271 271 270 270 270 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 258 258 259 259 259 259 259 259 259 259 259 259 259 259 260 260 260 260 261 261 261 261 261 261 261 262 262 262 262 263 263 263 263 263 263 263 263 263 263 263 263 263 262 262 263 263 264 264 264 264 264 263 263 263 263 263 262 262 262 262 262 262 262 262 262 262 262 262 263 263 263 264 264 265 265 266 266 266 266 265 265 265 265 265 265 265 265 265 265 265 265 265 265 264 264 263 263 263 262 262 262 262 262 262 262 263 263 263 263 263 263 263 263 263 263 263 263 263 263 264 264 265 266 267 268 269 269 269 269 270 270 271 272 272 272 272 272 272 272 272 271 271 271 271 271 272 274 275 276 276 276 276 276 276 276 276 276 276 276 276 276 276 276 276 276 276 276 275 275 275 275 275 275 275 275 274 274 275 275 276 276 277 277 277 nan nan nan nan nan nan nan nan nan 276 276 276 276 276 276 276 276 276 277 277 277 277 277 277 276 276 275 275 275 275 274 274 274 273 273 273 272 272 272 271 271 271 271 270 270 269 269 268 268 267 267 267 266 266 266 266 266 266 266 267 267 267 267 268 268 268 267 267 267 267 269 270 272 273 273 273 273 273 272 272 nan nan 271 272 272 272 273 273 272 nan nan nan 270 270 269 269 269 269 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 nan nan 258 258 258 258 258 258 258 nan 258 258 258 258 258 258 258 258 258 258 259 259 259 259 259 259 259 259 259 259 259 259 259 259 259 259 260 260 260 260 260 260 260 261 261 261 261 261 261 262 262 262 262 262 263 263 263 263 263 263 263 263 263 263 263 263 263 263 264 265 265 265 265 265 265 265 265 265 264 264 264 263 263 263 263 262 262 262 261 261 261 261 261 261 262 262 263 264 264 265 265 265 265 264 264 264 264 265 265 265 265 265 266 265 265 265 264 264 264 263 263 263 262 262 262 262 262 263 263 263 263 263 263 263 263 263 263 263 263 263 263 263 264 265 266 267 267 268 269 269 269 269 269 270 271 272 272 272 272 272 272 272 272 271 271 271 271 271 272 272 273 274 274 275 275 275 275 276 276 276 276 276 276 276 276 276 276 276 276 276 276 276 276 276 276 276 275 275 274 274 275 275 276 276 276 276 nan nan nan nan nan nan nan nan 276 276 276 276 276 276 276 276 276 276 276 277 277 277 277 276 276 276 275 275 275 274 274 274 274 273 273 273 272 272 271 271 271 270 270 270 269 269 269 268 267 267 267 266 266 266 266 266 266 266 266 266 267 267 268 268 268 267 267 266 266 266 267 269 271 272 273 273 273 272 272 271 nan nan nan 271 271 271 272 nan nan nan nan nan nan 269 268 268 268 268 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 258 258 258 258 258 258 258 258 258 258 258 258 258 258 258 258 258 258 258 258 258 258 258 258 258 258 258 259 259 259 259 259 259 259 259 259 259 259 259 259 259 259 259 259 259 260 260 260 260 260 260 260 260 260 261 261 261 261 261 261 262 262 262 262 262 263 263 263 263 263 263 263 263 262 263 263 264 265 266 266 267 267 267 267 266 266 266 266 265 265 264 264 263 263 263 262 262 261 261 261 261 261 261 261 261 262 263 263 264 264 264 264 264 264 264 265 265 266 266 266 266 265 265 265 265 264 264 264 263 263 263 263 263 263 263 263 263 263 263 263 263 263 263 263 263 263 263 263 263 264 264 265 266 267 268 268 268 269 269 269 269 270 271 271 272 272 272 272 272 272 272 272 272 271 271 271 271 272 272 273 273 273 273 274 275 275 275 275 275 276 276 276 276 276 276 276 276 276 276 277 277 276 276 275 275 275 274 274 275 275 276 276 276 nan nan nan nan nan nan nan nan 276 276 276 276 276 276 276 276 276 276 276 276 277 276 276 276 276 276 275 275 275 274 274 274 274 273 273 273 272 272 271 271 271 270 270 270 269 269 269 268 267 267 266 266 266 265 265 265 266 266 266 266 267 267 268 267 267 267 266 266 266 266 266 267 269 270 271 272 272 271 nan nan nan nan nan 270 nan nan nan nan nan nan nan nan nan 269 269 269 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 258 258 258 258 nan nan nan nan nan 258 258 258 258 258 258 258 258 258 258 258 258 258 258 258 nan nan 258 258 259 259 259 259 259 259 259 259 259 259 259 259 259 259 259 259 259 259 259 259 259 259 259 259 260 260 260 260 260 261 261 261 261 262 262 262 262 262 262 263 263 263 263 263 262 262 262 262 263 264 265 266 267 268 268 268 268 268 268 268 267 267 266 265 265 264 264 263 263 263 262 262 262 261 261 261 261 261 261 261 262 262 263 263 264 264 264 265 265 266 266 266 266 265 265 265 265 265 265 265 264 264 263 263 263 263 263 263 264 264 263 263 263 263 263 263 263 263 263 263 263 264 264 265 266 266 267 268 268 268 269 269 269 269 270 270 271 271 272 272 272 272 273 273 272 272 272 271 271 271 271 272 272 271 271 272 273 273 274 274 274 275 275 275 275 276 276 276 276 276 276 277 277 nan nan 276 275 274 274 274 274 275 275 275 275 275 nan nan nan nan nan 276 276 276 276 276 275 275 275 276 276 276 276 276 276 276 276 276 276 276 275 275 275 275 274 274 274 274 273 273 273 272 272 271 271 271 271 270 270 269 269 268 268 267 267 266 266 266 265 265 266 266 266 266 266 267 267 267 267 267 266 266 266 266 266 266 267 267 268 269 270 270 nan nan nan nan nan nan 269 269 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 258 258 258 258 258 258 nan nan nan nan nan nan nan nan nan nan nan nan nan 258 258 258 259 259 259 259 259 259 259 259 259 259 259 259 259 259 259 259 259 259 259 259 259 259 259 259 259 260 260 260 261 261 261 261 262 262 262 262 262 262 262 262 263 263 263 263 262 262 262 262 263 264 265 267 268 268 269 269 269 269 269 268 268 267 267 266 265 265 264 264 264 263 263 263 263 262 262 261 261 261 260 261 261 261 262 263 264 264 265 265 266 266 266 265 265 265 265 265 265 265 265 265 264 264 264 264 264 264 264 264 264 264 264 264 263 263 263 263 263 263 263 263 263 264 265 265 266 267 267 268 268 268 268 269 269 269 270 270 271 271 271 271 271 272 272 272 273 273 272 272 272 272 272 271 271 270 270 270 271 271 272 273 274 274 275 275 275 275 275 276 276 276 276 276 276 276 275 275 274 274 274 274 274 275 275 275 275 275 nan nan nan 276 276 276 276 276 276 275 275 275 275 275 276 276 276 276 276 276 276 276 275 275 275 275 274 274 274 274 273 273 273 272 272 271 271 271 271 271 270 270 269 269 268 268 267 267 267 266 266 266 266 266 266 266 266 266 266 267 267 267 267 266 266 266 266 266 266 266 266 267 267 268 268 nan nan nan nan 268 268 268 268 268 268 268 268 269 269 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 258 258 258 258 258 258 258 258 nan nan nan nan nan nan nan nan nan nan nan 259 259 259 259 258 258 258 259 259 259 259 259 259 259 259 259 259 259 259 259 259 259 259 259 259 259 259 259 260 260 260 261 261 261 261 262 262 262 262 263 263 263 263 263 263 263 263 263 263 263 262 262 262 263 264 265 266 268 268 269 269 269 269 268 268 268 267 267 266 266 265 265 265 264 264 264 264 264 263 263 262 262 261 260 260 260 261 263 264 265 265 265 265 265 265 265 265 265 265 265 265 265 265 265 265 265 265 265 265 265 264 264 264 264 264 264 264 264 263 263 263 263 263 263 263 264 264 265 265 266 267 268 268 268 269 269 269 269 270 270 270 270 270 271 271 271 271 271 271 272 273 273 273 273 273 272 271 271 270 269 269 270 270 271 272 273 274 274 275 275 275 275 275 275 276 276 276 276 275 275 274 274 274 274 274 274 274 275 275 275 275 276 nan 276 276 276 276 276 275 275 275 275 275 275 275 275 275 275 275 275 275 275 275 275 275 274 274 274 274 273 273 272 272 271 271 271 271 271 271 271 270 270 269 269 268 268 267 267 267 266 266 266 266 266 266 266 266 266 266 266 266 266 266 266 266 266 266 266 266 265 265 266 266 267 267 nan nan 268 268 268 268 268 268 268 268 268 269 269 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 259 259 258 258 258 258 258 258 258 258 nan nan nan nan nan nan nan nan 258 259 259 259 259 259 259 259 258 258 258 258 259 259 259 259 259 259 259 259 259 259 259 259 259 260 259 259 259 259 260 260 260 260 261 261 261 262 262 262 262 262 263 263 263 263 263 263 263 263 263 263 263 263 263 262 262 263 264 265 266 267 268 268 268 268 268 268 268 268 268 267 267 266 266 266 265 265 265 265 265 264 264 263 263 262 261 260 260 261 263 264 265 265 265 265 265 265 265 265 265 265 265 265 265 266 266 266 265 265 265 265 265 265 264 264 264 264 264 264 264 264 264 264 264 263 263 263 264 264 264 265 266 267 267 268 269 269 269 269 269 270 270 270 270 270 270 270 270 270 269 270 270 271 273 274 274 274 274 273 272 272 271 270 270 270 270 271 272 273 274 274 274 nan 275 275 275 274 274 274 275 275 275 274 274 274 274 274 274 274 274 275 275 275 276 276 276 276 276 276 275 275 275 275 275 275 275 274 274 275 274 274 274 274 274 274 274 274 274 274 274 273 273 272 272 271 271 270 270 270 270 270 270 270 270 269 269 268 268 267 267 267 266 266 266 266 266 266 266 266 266 266 266 266 266 266 266 266 266 266 266 265 265 265 265 265 266 266 267 267 268 268 268 268 268 268 268 268 269 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 259 259 259 259 259 259 259 259 259 nan nan nan nan 259 259 259 259 259 259 259 259 259 259 259 259 259 259 258 258 258 258 259 259 259 259 259 259 259 259 259 259 259 259 260 260 260 260 260 260 260 260 260 261 261 261 261 262 262 262 262 263 263 263 263 263 263 263 263 263 263 263 263 263 263 263 263 263 264 265 266 267 267 268 268 268 268 268 268 268 268 268 267 267 267 266 266 266 266 265 265 265 264 264 263 262 261 261 262 264 265 265 265 265 265 265 265 265 265 265 265 266 266 266 266 266 266 266 265 265 265 265 265 264 264 264 264 264 264 264 264 264 264 264 264 264 264 264 264 264 265 265 266 267 268 268 269 269 269 269 270 270 270 270 270 270 270 270 270 269 269 269 269 270 272 274 275 275 275 274 274 273 272 271 271 271 271 271 272 272 273 274 nan nan nan nan 273 273 273 273 273 273 273 274 274 274 274 274 274 274 274 275 275 275 275 275 275 275 275 275 275 275 275 274 274 274 274 274 274 274 274 274 274 273 273 273 273 273 273 273 273 272 272 271 271 270 270 270 269 269 269 270 270 269 269 268 268 268 267 267 266 266 266 266 266 266 266 266 265 265 265 265 265 265 266 266 266 265 265 265 265 265 265 265 265 265 266 267 267 268 268 269 269 269 269 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 259 259 259 259 259 260 260 nan nan 260 259 259 259 259 259 259 258 258 258 258 258 258 259 259 259 258 258 258 258 258 258 258 259 259 259 259 259 259 259 259 259 259 259 259 259 260 260 260 260 260 260 261 261 261 261 261 262 262 262 262 263 263 263 263 263 263 263 263 263 263 263 263 263 263 263 263 264 264 265 266 266 267 267 267 267 267 267 268 268 268 268 268 268 267 267 267 266 266 266 265 265 265 264 263 262 263 264 265 266 266 266 265 265 265 265 265 266 266 266 266 266 266 266 266 266 266 266 265 265 265 264 264 264 264 264 264 264 264 264 264 264 264 264 264 264 264 263 264 264 265 265 266 267 268 269 269 269 269 270 270 270 270 271 271 270 270 270 270 269 269 269 269 270 273 274 275 275 275 275 275 274 274 273 272 272 272 272 272 272 273 274 nan nan nan nan nan nan 271 271 272 272 273 273 274 274 274 274 274 274 274 274 275 275 275 275 275 275 275 275 274 274 274 274 274 273 273 273 273 273 273 273 273 273 273 273 272 272 272 272 272 271 271 271 270 270 269 269 268 268 269 269 269 268 268 267 267 267 266 266 266 266 266 266 266 265 265 265 265 264 264 264 264 265 265 265 265 265 265 265 265 265 265 265 266 267 267 268 268 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 260 260 260 260 260 260 260 260 260 260 259 259 259 258 258 258 258 258 258 258 258 258 258 258 258 258 258 258 258 258 258 258 258 258 258 258 259 259 259 259 259 259 259 259 259 259 259 259 259 259 260 260 260 260 260 261 261 261 261 262 262 262 262 263 263 263 263 263 262 262 263 263 263 263 263 263 264 264 265 265 266 266 266 266 266 267 267 267 267 268 268 268 268 268 268 268 267 267 266 266 265 265 265 264 264 264 265 266 267 267 267 266 266 266 266 266 266 266 266 266 266 266 266 266 266 266 266 265 265 265 264 264 264 264 263 263 263 264 264 264 264 264 264 264 264 264 263 263 264 264 265 266 267 268 268 268 269 269 269 269 270 270 271 271 271 270 270 270 270 269 269 269 269 271 272 274 274 274 275 275 275 275 275 274 274 273 273 273 273 273 273 274 nan nan nan nan nan nan nan 270 271 272 272 273 273 274 274 274 274 274 274 274 274 274 274 274 274 274 274 274 274 274 274 274 273 273 273 273 273 273 273 272 272 272 272 272 272 271 271 271 271 271 270 270 270 269 268 268 268 268 268 268 268 267 267 266 266 266 266 265 265 265 265 265 265 265 264 264 264 264 264 264 264 264 264 264 264 264 264 265 265 265 266 266 267 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 261 261 261 261 261 261 260 260 260 259 259 258 258 258 258 257 257 nan 257 257 257 257 257 257 258 258 258 258 258 258 258 257 257 257 258 258 258 258 258 258 258 258 258 258 258 258 258 258 259 259 259 259 259 259 260 260 260 260 260 261 261 261 261 262 262 262 262 262 262 262 262 262 262 262 263 263 263 264 264 265 265 265 265 265 265 265 266 266 266 266 266 267 268 268 268 268 268 267 267 266 266 266 266 265 265 265 266 266 267 267 267 267 267 267 267 267 267 267 267 267 267 267 267 267 267 266 266 266 265 265 265 265 264 264 264 263 263 263 263 264 264 264 264 264 264 264 264 264 263 264 264 264 265 266 267 267 268 268 268 268 269 269 270 270 271 271 270 270 270 270 270 270 270 270 270 271 272 272 273 273 274 275 275 276 276 276 275 275 274 274 273 273 273 273 273 nan nan nan nan nan 269 270 270 271 272 273 273 274 274 274 274 273 273 273 273 274 274 274 274 274 274 274 274 274 273 273 273 273 273 272 272 272 272 272 272 271 271 271 271 271 271 271 270 270 270 269 269 268 268 267 267 267 267 267 267 266 266 265 265 265 265 265 265 265 265 265 264 264 264 263 263 263 263 263 263 263 264 264 264 264 264 265 265 266 266 266 266 266 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 262 261 261 261 261 261 260 260 260 259 259 258 258 258 257 257 nan nan nan nan nan nan nan nan 257 257 258 258 258 258 258 258 257 257 257 257 258 258 258 258 258 258 258 258 258 258 258 258 258 258 258 258 258 259 259 259 259 259 259 259 260 260 260 260 260 261 261 261 262 262 262 262 262 262 262 262 262 263 263 264 264 265 265 265 265 265 265 265 265 265 265 265 265 266 267 267 267 268 267 267 267 266 266 266 266 266 266 266 267 267 267 268 268 268 268 267 267 267 267 267 267 267 267 267 267 267 267 267 266 266 266 265 265 265 264 264 264 264 264 263 263 264 264 264 264 264 264 264 264 264 264 264 264 264 265 265 266 267 267 268 268 268 268 268 269 269 270 270 270 270 271 271 271 271 271 271 271 271 272 272 272 272 272 273 274 275 276 276 277 277 276 276 275 275 274 274 274 nan nan nan nan nan 270 270 270 270 271 272 273 273 273 273 273 273 273 273 273 273 273 273 273 273 273 273 273 273 273 273 273 273 272 272 272 272 271 271 271 271 271 270 270 270 270 270 270 270 269 269 268 268 268 267 267 266 266 266 266 265 265 265 265 265 265 265 265 265 265 265 264 264 263 263 263 263 263 263 264 264 264 nan nan nan 264 264 265 266 266 266 266 266 266 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 266 266 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 261 261 261 260 260 260 259 259 nan nan nan nan 257 nan nan nan 257 257 nan nan nan nan nan nan nan 257 258 258 258 258 258 258 257 257 257 258 258 258 258 258 258 258 258 258 259 259 259 259 258 258 258 258 258 259 259 259 259 260 260 259 260 260 260 260 260 260 260 261 261 261 261 261 261 261 261 261 261 262 263 264 264 265 265 265 265 265 265 265 264 264 264 264 264 265 265 266 266 266 266 266 266 266 266 266 266 266 267 267 268 268 268 268 268 268 268 268 268 268 268 268 268 268 268 268 268 268 268 267 267 267 266 266 265 265 265 265 264 264 264 264 264 264 264 264 264 264 264 264 264 264 264 264 264 264 264 265 265 266 267 267 268 268 268 268 268 268 269 269 269 270 270 271 271 271 272 272 272 273 273 272 272 272 272 272 273 274 275 276 nan nan nan nan nan 276 275 275 275 275 nan nan nan nan nan nan 270 270 271 272 272 273 273 273 273 273 273 273 273 273 273 273 273 273 273 273 273 273 273 273 272 272 272 272 271 271 271 271 270 270 270 270 270 270 270 270 269 269 269 268 268 268 267 267 266 266 265 265 265 265 265 265 265 265 264 265 265 265 265 265 264 263 263 263 263 263 264 264 264 264 nan nan nan nan nan nan nan nan 265 265 265 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 266 266 267 267 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 258 258 258 258 258 258 258 nan nan nan nan 258 258 258 258 258 258 258 258 258 258 258 258 258 258 258 258 258 258 258 259 259 259 259 259 259 259 259 259 259 259 259 260 260 260 260 260 260 260 260 260 260 261 261 261 261 261 261 261 261 261 261 261 261 262 263 264 265 265 265 265 265 265 265 264 264 264 264 264 264 265 265 265 265 265 265 265 265 265 265 266 266 267 268 268 268 268 268 268 268 268 268 268 268 268 268 268 268 268 268 268 268 268 268 268 267 267 267 266 266 265 265 265 265 265 264 264 264 264 264 264 264 264 264 264 264 264 264 264 264 264 265 265 266 266 267 267 268 268 268 268 268 268 268 269 269 269 270 271 272 272 273 273 274 274 274 274 273 273 273 273 273 274 275 nan nan nan nan nan nan 276 276 276 276 276 275 nan nan nan nan nan 271 271 272 272 272 273 273 273 273 273 273 273 273 273 273 273 273 273 273 272 272 272 272 272 271 271 271 271 270 270 270 270 270 270 269 269 269 269 269 269 269 268 268 268 267 267 267 266 265 265 265 265 265 265 265 264 264 264 264 264 264 264 264 263 263 263 263 263 264 nan nan 264 nan nan nan nan nan nan nan nan nan nan 265 265 265 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 265 266 266 267 267 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 258 258 258 258 258 258 258 258 258 258 258 258 258 258 258 258 258 258 258 258 259 259 259 259 259 259 258 258 258 258 259 259 259 259 259 259 259 259 259 259 259 259 260 260 260 260 260 260 260 260 260 260 260 261 261 261 261 261 261 261 261 260 260 260 261 262 263 265 265 266 266 266 265 265 265 265 264 264 264 264 264 264 264 264 265 265 265 265 265 265 266 266 267 268 268 268 268 268 268 268 269 269 269 269 269 269 269 269 269 269 269 269 269 269 268 268 268 267 267 267 266 266 265 265 265 265 265 265 264 264 264 264 264 264 264 264 264 264 264 264 264 265 265 266 266 267 267 268 268 268 268 268 268 268 268 268 268 269 269 270 271 272 273 274 275 275 275 275 274 274 274 274 274 274 274 nan nan nan nan nan 276 277 277 276 276 276 275 nan nan nan nan nan 272 272 272 272 273 273 273 273 273 273 273 273 273 273 273 273 273 273 272 272 272 271 271 271 271 270 270 270 270 270 269 269 269 269 269 269 269 269 268 268 268 268 268 267 267 266 266 265 265 265 265 265 265 265 264 264 264 264 263 263 263 263 263 263 263 263 264 264 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 266 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 265 266 266 267 267 268 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 259 259 259 259 259 259 259 259 259 259 259 258 258 258 258 259 259 259 259 259 259 259 259 259 259 259 259 258 258 258 258 259 259 259 259 259 259 259 259 259 259 259 259 260 259 260 260 260 260 260 260 260 260 260 260 261 261 261 261 261 261 260 260 260 260 261 263 264 265 266 266 266 265 265 265 265 265 265 265 265 264 264 264 264 264 264 264 264 264 265 265 266 267 268 268 268 268 268 268 269 269 269 269 269 269 269 269 269 269 269 269 269 269 269 269 269 269 268 268 267 267 266 266 266 265 265 265 265 265 265 265 264 264 264 264 264 264 264 264 264 264 265 265 266 266 267 267 268 268 269 269 269 269 269 269 268 268 268 268 269 270 271 272 274 274 275 276 276 276 275 275 275 274 274 273 273 273 nan nan 274 275 275 276 276 276 276 276 276 275 nan nan nan 272 272 272 272 272 273 273 274 274 274 274 274 273 273 273 273 273 273 272 272 272 271 271 270 270 270 270 270 269 269 269 269 269 269 269 269 268 268 268 268 268 268 268 267 267 266 265 265 265 265 264 265 265 265 265 264 264 263 263 263 nan nan nan 263 263 263 264 nan nan nan nan nan nan nan nan nan 262 263 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 265 266 267 267 267 268 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 259 259 259 259 259 259 259 259 259 259 259 259 259 259 259 259 259 259 259 259 259 259 259 259 259 259 259 259 258 258 258 258 259 259 259 259 259 259 259 259 259 259 259 259 259 260 260 260 260 260 259 259 259 260 260 260 260 260 261 261 261 260 260 260 260 261 262 264 265 265 265 265 265 265 265 265 265 265 265 265 265 264 264 264 264 264 264 264 263 264 265 266 267 267 267 267 267 268 268 268 269 269 269 269 269 269 269 269 269 269 269 270 270 270 269 269 269 269 268 268 268 267 267 266 266 266 265 265 265 265 265 265 265 265 264 264 264 264 264 264 264 265 265 266 266 267 267 267 268 269 270 270 270 270 270 269 269 268 268 268 269 270 271 273 274 275 276 276 277 277 277 276 276 275 274 274 273 273 273 273 273 273 274 275 275 276 276 276 276 nan nan nan 273 272 272 272 272 272 273 274 274 274 274 274 274 273 273 273 273 273 272 272 272 271 271 270 270 270 270 270 269 269 269 269 269 269 269 268 268 nan 268 268 268 268 267 267 266 266 266 265 265 265 264 264 265 265 265 265 264 264 263 nan nan nan nan nan 263 264 265 nan nan nan nan nan nan nan nan 263 263 264 264 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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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