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Wind_Speed
26 26 26 26 27 27 27 26 26 26 27 27 27 27 27 27 27 27 27 26 27 27 27 27 27 27 27 27 27 27 27 27 27 27 27 27 27 27 27 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 29 29 29 29 29 29 29 29 29 29 28 28 28 29 29 29 29 28 28 28 28 29 29 30 30 30 30 30 30 30 30 30 30 30 31 31 31 31 31 31 31 30 30 31 31 31 31 31 31 31 31 31 31 32 32 32 32 32 32 32 32 32 32 32 33 33 33 33 33 33 32 32 32 32 32 32 32 32 32 32 32 32 32 32 32 31 31 31 30 30 30 30 30 30 30 31 31 31 31 31 31 31 31 31 31 31 31 31 31 30 30 30 29 29 29 29 29 29 29 29 28 28 29 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 27 27 27 27 27 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 29 29 28 28 28 nan nan nan nan nan nan 30 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 33 32 32 32 nan nan 32 32 31 31 31 31 31 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 30 30 30 30 29 29 nan nan nan nan nan nan nan nan nan nan 27 27 27 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 24 24 24 24 24 23 nan nan nan nan nan nan nan nan nan nan nan nan nan nan 25 nan nan 25 25 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 28 28 28 28 27 27 27 27 27 28 28 28 28 28 28 28 27 27 27 27 27 27 27 27 27 27 27 27 27 27 27 27 27 28 28 28 29 29 29 29 30 30 30 30 31 31 30 30 30 30 29 30 30 30 30 30 30 29 29 29 29 29 29 29 29 29 30 30 30 30 30 31 31 32 32 32 32 32 31 31 30 30 30 31 32 33 33 34 34 33 33 33 33 33 33 33 33 34 34 35 35 34 34 33 33 33 33 32 32 30 29 28 28 28 28 28 27 27 26 26 26 27 27 27 27 28 29 31 31 30 28 26 24 24 25 26 28 29 30 29 29 28 28 27 27 27 27 28 30 32 35 37 nan nan nan nan nan nan nan nan nan nan nan nan nan 19 21 22 22 21 nan nan nan 20 22 24 26 28 30 32 33 32 32 31 28 22 19 19 20 21 21 20 20 20 21 21 22 24 26 28 30 30 29 26 20 16 14 15 18 21 25 28 30 30 30 30 29 27 27 29 30 30 30 29 28 26 26 26 26 27 27 27 27 28 28 28 28 29 29 30 31 31 32 33 34 35 35 35 35 35 35 35 35 35 35 36 36 36 36 36 36 35 35 35 36 36 37 38 38 38 37 37 36 36 36 36 35 35 34 34 34 34 34 34 34 34 34 33 33 33 33 33 33 32 32 32 31 31 30 30 30 31 31 31 31 30 29 28 27 26 25 25 25 25 25 25 25 25 25 25 25 25 26 26 27 28 28 28 27 27 27 27 27 27 27 28 28 28 28 28 28 28 28 28 28 28 28 28 28 29 29 29 29 29 29 29 29 30 30 30 30 30 30 30 30 30 30 30 30 29 30 30 30 30 30 30 30 30 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 287 288 nan nan nan nan 292 292 293 293 294 295 296 296 297 298 298 299 300 301 301 301 302 302 302 301 301 301 301 301 302 303 304 305 306 307 307 308 308 308 308 308 308 308 308 308 308 308 308 309 309 309 309 309 308 308 308 309 311 313 315 316 316 315 314 312 311 311 310 310 311 311 313 314 314 314 314 314 314 315 317 318 319 320 320 320 320 318 317 315 314 312 312 312 312 312 312 312 312 313 314 314 nan nan nan 314 315 315 316 317 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 319 318 319 319 320 319 319 318 318 318 318 318 318 318 318 318 317 316 315 315 315 315 315 316 316 317 318 318 318 318 318 317 317 317 316 316 315 314 313 312 312 311 310 309 308 308 307 307 307 306 306 306 305 305 304 304 303 303 303 302 302 302 302 301 300 301 301 300 299 298 297 296 295 294 294 294 294 293 293 292 292 291 292 292 292 292 292 292 291 290 291 290 290 290 290 290 289 289 288 288 288 287 287 287 287 287 286 285 285 284 283 282 282 283 284 284 284 284 283 283 283 283 282 282 282 282 283 283 282 282 282 283 283 283 284 284 285 285 285 285 285 285 286 286 286 286 286 287 nan nan nan nan nan nan nan nan nan 288 288 288 287 287 287 287 287 287 287 288 288 289 289 290 290 290 290 291 291 292 292 292 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 249 249 249 250 249 249 249 249 248 245 245 246 246 247 247 248 248 249 249 249 250 250 249 248 248 249 250 250 251 252 254 256 257 258 259 259 259 259 259 260 261 262 262 263 264 265 266 267 268 268 269 269 270 270 271 272 273 273 274 275 276 276 278 279 280 281 281 281 280 280 280 281 282 283 283 283 284 285 285 284 284 282 281 279 279 279 279 279 280 280 281 282 282 282 282 282 281 281 281 282 283 284 285 286 287 287 287 287 287 287 288 288 287 287 286 285 286 287 288 288 289 289 289 289 288 288 288 287 288 288 289 290 291 292 293 294 295 295 294 294 294 294 294 295 295 296 297 297 297 298 298 298 298 297 297 297 297 297 296 295 293 293 293 293 293 294 294 293 294 294 294 293 293 293 292 292 292 293 294 295 295 295 294 293 292 291 291 291 292 292 294 294 295 295 296 296 296 295 295 295 295 296 297 299 299 299 298 297 296 295 295 294 294 295 296 297 299 299 300 299 299 299 300 300 299 298 297 296 295 295 296 297 298 298 298 299 299 299 299 300 301 301 301 301 302 302 301 300 300 299 300 300 301 300 300 300 300 301 301 300 299 298 298 297 297 297 298 299 300 300 300 300 300 300 301 302 302 303 303 303 304 303 302 302 302 303 302 303 302 302 301 301 300 299 299 298 298 297 296 295 295 294 293 293 292 292 292 292 293 293 293 293 293 292 291 291 290 289 288 287 287 286 285 285 285 285 285 285 285 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 249 249 249 247 244 245 245 245 245 245 246 247 247 247 247 248 248 248 248 249 250 249 249 248 249 249 250 250 251 252 253 256 258 259 260 260 259 259 259 260 260 261 261 262 263 264 265 265 266 267 268 269 270 271 272 273 273 274 275 275 276 276 277 278 279 279 279 278 278 279 280 281 283 284 284 284 285 286 285 285 283 281 280 279 278 278 278 278 279 279 280 281 281 281 281 281 281 281 282 283 283 284 285 285 286 286 287 287 287 287 287 286 285 284 284 285 286 287 288 288 288 287 287 287 286 287 287 287 288 289 289 290 292 293 293 293 293 293 293 293 293 294 294 294 295 296 296 296 296 296 296 296 297 297 297 297 296 295 294 293 292 292 293 293 293 293 293 293 293 292 292 291 291 291 291 292 293 293 294 293 292 291 290 289 288 289 290 292 293 293 294 295 295 295 295 295 294 294 294 295 297 297 299 299 298 297 296 295 294 294 294 294 296 298 299 301 300 300 298 297 298 299 299 299 299 298 296 296 295 295 296 296 297 298 299 299 299 300 301 301 302 302 303 302 302 301 300 299 299 299 300 301 301 301 301 302 302 302 301 300 299 298 297 296 297 298 299 299 299 298 299 300 301 301 301 302 302 303 303 304 304 304 304 304 304 305 304 304 302 301 300 300 299 299 298 298 297 296 295 294 294 293 292 292 291 291 291 291 292 292 292 292 292 292 291 290 289 289 288 287 286 285 285 284 284 284 284 285 285 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 242 243 243 243 243 244 244 244 244 245 245 246 247 247 247 248 248 248 248 249 250 250 249 249 248 249 249 249 249 250 251 253 255 257 259 259 259 259 259 259 259 259 259 259 260 261 262 262 263 265 266 268 269 271 272 273 274 274 275 275 275 275 276 276 277 277 277 276 277 277 279 281 282 283 284 284 285 285 285 285 284 282 280 279 278 277 277 277 277 277 278 279 279 280 280 280 281 281 282 282 282 283 284 285 285 286 286 286 286 286 285 284 283 283 284 285 286 287 287 287 287 286 286 286 286 286 287 287 288 289 289 290 290 291 291 291 291 292 292 293 293 294 293 293 294 295 295 295 295 295 295 296 296 297 297 295 294 292 292 292 292 293 293 293 293 293 293 292 292 291 291 291 291 291 291 292 292 293 293 291 290 288 287 287 287 288 289 291 292 293 293 294 294 294 294 294 293 293 293 295 296 297 298 297 297 295 294 293 292 293 294 295 297 299 301 302 301 299 298 297 297 298 299 299 299 299 298 297 296 295 295 296 298 299 300 301 301 302 303 304 304 304 304 303 303 301 300 299 299 300 301 302 302 302 303 303 302 302 301 299 299 298 297 297 298 299 300 300 299 299 299 300 301 301 301 301 302 302 302 303 304 304 304 305 305 305 304 303 302 301 300 299 299 298 298 297 296 295 294 294 293 292 291 291 290 290 289 290 290 290 291 291 291 291 291 290 290 289 288 287 286 285 284 283 283 283 283 284 284 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 241 241 242 242 242 242 243 243 243 243 244 245 246 246 247 248 248 248 248 249 249 249 250 249 248 248 248 249 249 249 250 251 253 254 256 257 258 258 258 258 258 258 257 257 257 258 258 259 261 262 264 265 268 270 271 273 274 274 275 275 275 275 275 275 275 275 275 275 275 276 278 279 281 282 282 283 283 283 284 284 284 283 281 279 277 276 275 275 275 275 275 276 277 278 279 279 280 280 281 281 282 283 283 284 284 285 286 285 285 284 283 282 282 283 284 285 285 286 285 285 286 286 286 286 286 287 287 287 287 288 288 289 289 289 289 289 290 291 292 292 293 293 293 293 294 294 294 294 294 295 295 295 295 295 295 294 293 291 291 291 292 293 293 293 294 294 293 292 292 291 291 292 292 292 292 292 292 292 291 290 288 287 286 286 286 288 289 290 292 293 293 293 292 292 293 293 293 292 292 293 294 295 295 295 294 293 292 291 292 293 294 296 298 300 302 303 302 300 298 297 297 297 298 299 300 300 299 298 297 296 297 297 299 300 301 302 303 304 305 306 306 306 306 305 304 302 301 300 301 302 303 303 304 304 304 304 303 302 301 299 298 298 298 298 299 300 301 301 301 301 301 301 301 301 300 300 301 301 301 302 302 302 303 304 304 304 303 302 300 299 299 298 298 298 297 296 296 295 294 293 292 291 290 290 289 289 288 288 288 288 289 290 290 290 290 290 290 289 289 288 286 285 284 283 282 282 282 284 284 285 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 241 241 241 241 242 242 242 242 243 243 244 245 245 246 247 247 247 248 248 249 249 249 248 248 248 248 249 249 249 250 250 251 252 254 255 256 256 257 257 256 256 255 255 255 255 256 257 259 261 263 265 267 269 271 272 273 274 275 275 275 275 275 274 273 273 273 274 275 276 277 278 279 280 280 280 280 280 281 282 282 281 279 277 275 273 273 273 273 273 274 275 276 277 279 280 280 280 280 281 282 282 283 283 284 284 284 284 283 282 282 282 283 284 284 284 284 284 284 285 286 286 286 286 286 286 286 286 287 287 288 288 287 287 288 289 290 291 292 292 292 292 292 293 293 294 294 294 294 294 294 294 294 nan 293 292 291 291 291 292 292 293 294 294 294 294 293 293 292 292 292 292 292 293 293 292 292 290 289 288 286 286 286 287 288 289 290 292 292 292 292 292 292 292 293 293 292 292 292 293 293 293 292 291 291 290 290 291 293 295 298 300 302 303 303 301 300 299 297 297 297 298 299 300 301 301 300 299 298 298 299 300 301 302 303 304 305 307 307 308 307 307 306 305 305 304 303 303 304 304 304 305 306 306 304 303 301 299 298 298 298 298 300 301 302 304 304 305 304 303 302 301 300 299 299 300 300 300 301 300 301 301 301 301 301 301 299 298 298 298 297 297 297 297 296 295 295 294 293 292 291 289 289 288 287 287 287 286 287 288 288 289 289 290 290 290 290 289 288 287 286 285 284 283 283 283 284 285 285 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 241 241 241 241 241 241 241 242 242 242 243 244 244 245 246 246 247 247 248 248 248 248 248 248 248 248 249 249 249 249 249 250 250 252 252 253 254 254 255 254 254 253 253 253 254 255 256 258 260 262 264 265 267 269 270 272 273 274 275 275 274 273 272 271 272 272 273 274 275 276 277 277 278 278 277 277 277 278 279 279 278 276 274 273 272 271 271 271 272 273 274 276 277 278 279 279 279 280 281 281 282 282 282 283 283 283 282 282 282 282 283 283 283 283 283 283 284 284 285 285 285 286 286 286 285 285 286 286 287 287 286 287 287 288 290 291 292 292 292 292 292 293 293 293 293 294 293 293 293 292 292 292 292 292 291 290 290 290 291 292 293 294 294 294 294 293 292 292 292 292 292 293 293 292 292 290 289 288 287 286 287 287 288 289 290 291 291 291 291 292 292 293 293 293 292 292 292 292 292 291 290 289 289 289 289 291 293 296 299 302 303 304 303 301 300 298 298 298 298 299 300 301 303 302 302 300 299 299 300 301 301 302 304 305 306 307 308 308 309 309 309 308 307 306 306 306 306 306 306 306 306 305 304 301 299 298 297 297 298 299 301 304 305 307 307 308 308 307 304 301 299 298 298 299 299 299 299 299 298 298 299 299 299 298 298 297 297 297 297 297 297 297 296 295 294 294 293 292 291 290 289 288 287 286 285 285 286 287 287 288 288 289 289 289 289 289 289 288 287 287 286 285 284 284 285 285 286 286 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 241 241 241 241 241 241 241 241 241 242 242 242 243 244 244 245 246 246 247 247 247 247 247 248 248 248 248 249 248 248 248 248 249 249 250 251 252 252 252 252 252 251 251 252 253 254 255 257 259 260 262 264 265 267 269 270 272 274 274 274 273 272 271 271 271 271 272 273 274 275 275 275 275 274 274 273 273 274 275 276 275 274 272 271 270 270 270 270 272 273 275 276 277 278 278 278 279 279 279 280 280 281 281 281 281 281 282 282 283 283 283 282 282 282 283 283 284 284 284 285 285 285 285 285 285 285 285 285 286 286 286 287 288 289 290 291 291 291 292 293 293 294 293 293 293 293 293 292 291 291 291 292 291 291 290 289 289 290 291 292 294 294 294 294 293 293 292 292 292 292 292 292 292 292 290 289 288 287 287 288 289 289 289 289 288 289 289 290 291 292 293 294 293 293 293 293 293 292 291 290 289 288 288 289 291 294 297 300 302 304 304 302 300 299 298 299 299 300 300 301 302 303 303 302 300 299 300 300 301 302 303 305 306 307 308 308 309 310 311 310 310 309 308 308 308 309 309 308 307 306 304 302 300 298 297 297 297 298 300 303 305 308 310 311 312 311 310 307 303 300 299 298 299 299 298 298 298 297 297 297 297 297 297 297 297 297 296 296 297 297 296 296 295 294 294 293 292 291 291 290 289 287 286 285 285 286 286 286 287 287 288 288 289 289 289 289 289 289 288 287 286 285 285 285 286 286 286 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 242 241 241 241 241 241 241 242 241 241 241 241 241 242 243 244 245 245 246 247 247 247 247 247 247 247 247 247 247 247 247 247 248 248 249 250 250 251 251 251 251 251 251 251 252 253 255 256 258 259 261 262 264 265 267 270 271 273 273 273 272 271 270 270 269 270 270 272 273 273 274 273 272 271 270 270 270 271 273 273 273 272 271 270 269 269 270 271 272 274 275 276 277 277 277 278 277 278 278 279 279 280 280 280 280 281 282 282 283 282 282 282 282 282 282 283 283 284 284 284 285 285 285 285 284 284 284 284 285 286 287 288 289 290 290 290 291 292 293 294 294 294 294 293 292 292 292 291 291 291 291 291 290 289 289 289 290 291 292 293 293 293 293 293 292 292 292 291 291 292 292 292 291 291 289 288 288 288 289 291 291 290 289 288 287 288 288 290 291 293 293 293 293 293 293 293 292 291 290 289 289 290 291 293 296 298 301 303 303 303 301 299 299 300 300 301 301 300 301 302 302 302 301 300 300 300 301 301 302 304 305 306 307 308 309 310 310 311 311 310 309 309 310 310 311 310 309 307 305 303 301 300 299 298 297 298 300 302 304 307 309 312 315 316 316 314 310 307 303 301 300 299 299 299 299 298 298 297 298 298 298 298 297 297 297 297 296 296 296 296 296 295 295 294 294 293 292 291 290 289 288 287 286 286 286 287 287 287 287 288 288 288 289 289 289 290 290 289 288 287 287 286 287 287 286 286 287 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 242 242 241 241 241 242 242 242 242 241 240 240 241 241 242 243 244 245 246 247 247 247 247 247 247 247 246 246 246 246 247 247 248 248 249 250 250 251 251 251 251 251 251 252 253 254 255 256 257 259 260 262 263 265 267 269 270 271 272 271 270 269 269 268 268 269 270 271 272 272 271 270 269 268 267 267 268 270 271 272 271 270 270 269 270 270 271 272 273 274 275 276 276 276 276 276 276 276 277 278 278 279 279 280 281 281 282 282 282 281 281 281 281 281 282 282 283 283 284 284 285 285 285 284 284 284 284 284 286 287 287 288 289 289 290 291 292 294 294 294 294 294 293 292 292 291 291 292 291 291 291 290 289 289 289 290 291 291 292 293 293 293 292 292 292 291 291 291 291 292 291 291 290 289 289 289 290 291 293 293 292 291 290 289 288 288 289 290 291 292 293 292 293 293 293 294 292 291 290 291 292 294 296 298 300 301 303 303 301 299 299 299 301 302 302 301 300 301 301 301 300 300 300 300 301 301 301 302 303 305 306 307 309 310 310 311 311 310 310 310 311 312 313 313 312 310 307 305 304 303 302 301 300 299 300 301 304 306 308 311 315 317 319 319 316 313 310 307 304 303 302 302 302 302 302 302 301 301 301 300 300 299 299 298 298 297 296 296 295 296 295 295 295 295 294 292 291 290 289 288 288 287 287 288 288 287 287 287 288 288 288 288 289 289 290 290 290 289 288 288 288 288 288 287 287 287 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 242 241 241 241 242 242 243 243 242 241 241 240 241 242 243 244 245 246 246 247 247 247 247 247 247 246 246 246 246 246 247 248 249 249 250 250 251 251 252 252 252 252 252 253 254 254 255 256 257 259 260 261 263 264 266 268 269 269 269 269 268 268 268 269 269 270 270 270 270 269 269 268 267 266 265 266 267 268 269 270 270 269 269 270 270 271 271 272 273 273 274 274 274 274 274 274 275 276 276 277 278 278 279 280 280 280 280 280 281 281 280 280 280 281 281 282 283 283 284 284 285 285 284 284 283 283 284 285 286 286 287 287 288 289 290 292 293 293 293 293 293 293 292 292 292 292 292 292 292 291 290 289 289 289 291 291 292 292 292 292 292 292 292 292 292 291 291 291 291 290 289 289 289 290 291 292 293 294 294 294 293 292 291 291 290 290 290 291 291 291 291 292 293 294 294 294 293 292 293 295 297 299 301 302 302 302 301 300 298 299 300 303 303 302 301 301 301 301 301 300 300 301 302 302 301 302 302 303 305 306 308 309 310 311 310 310 310 310 312 314 316 317 315 314 311 308 307 306 305 304 303 302 302 303 304 306 307 310 313 316 319 321 320 317 315 312 310 308 307 306 307 307 308 308 308 307 305 303 302 302 301 301 300 299 298 297 296 296 296 297 297 297 296 295 293 291 290 289 289 288 288 288 289 288 288 287 287 288 288 288 289 289 289 289 289 289 289 289 289 288 288 288 288 288 288 287 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 243 242 242 242 242 243 244 244 243 243 242 242 242 243 243 244 245 246 247 248 248 248 248 247 247 246 246 246 246 247 248 249 250 250 251 251 251 252 252 252 252 253 253 254 254 254 254 255 257 258 259 260 262 263 265 266 266 266 266 266 267 269 270 270 270 270 269 269 268 267 266 265 264 264 264 265 266 267 268 269 269 269 270 270 271 271 271 271 271 271 271 271 271 272 272 273 274 275 276 277 278 278 279 278 278 279 279 279 279 279 279 279 280 280 281 282 283 283 284 284 284 284 283 283 283 284 284 285 285 286 286 287 288 289 290 291 292 292 292 293 293 293 292 292 292 292 292 292 292 291 291 291 291 291 291 291 291 291 291 291 291 292 292 292 292 291 291 290 289 289 289 290 292 293 294 294 294 294 294 294 294 294 294 293 292 292 291 290 290 290 292 293 294 294 294 294 294 296 297 299 301 302 303 303 302 300 299 299 300 303 304 304 303 302 301 302 302 301 301 301 302 302 302 302 302 303 304 305 306 308 309 310 310 309 309 311 313 316 319 320 320 319 316 313 311 310 309 309 307 305 304 305 306 307 308 310 311 314 316 318 320 318 316 314 312 311 310 310 311 313 314 314 314 313 311 308 305 303 303 303 302 301 301 299 298 298 298 298 298 298 297 297 295 293 291 290 289 288 288 288 288 288 288 287 287 287 287 288 288 288 289 288 288 288 288 288 288 288 288 288 288 288 288 288 287 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 243 243 243 244 244 245 245 244 244 243 243 243 244 245 246 247 247 248 248 249 249 248 248 247 246 246 246 247 248 249 250 250 250 250 250 250 250 251 251 252 253 253 252 252 252 252 253 255 257 259 260 261 263 263 263 262 262 264 266 269 270 271 271 270 269 267 266 265 264 263 262 262 262 263 264 264 265 266 267 268 269 270 270 271 270 269 268 268 268 268 269 269 270 271 273 274 275 276 277 277 277 277 276 277 277 277 277 277 277 278 279 279 280 280 281 282 283 283 283 283 283 283 283 284 284 284 285 285 285 286 287 288 289 289 290 291 292 293 293 293 293 293 293 293 293 293 293 293 292 292 292 292 292 291 291 290 290 290 291 291 292 292 292 291 291 289 289 289 290 291 293 294 294 295 294 294 294 295 296 296 297 296 295 294 293 292 291 291 292 293 294 294 295 295 296 298 299 301 303 303 303 303 301 300 298 299 301 304 306 305 304 303 303 303 303 303 302 303 303 303 303 303 303 304 305 306 307 308 308 308 308 308 309 312 315 320 322 323 323 321 319 316 315 314 313 311 308 306 305 306 307 308 310 311 313 315 316 316 317 316 314 312 310 309 309 311 313 315 316 317 316 315 312 309 306 304 303 303 303 302 301 300 299 299 298 298 299 298 298 297 295 293 291 290 288 287 287 287 287 287 287 286 286 286 286 287 288 289 288 289 288 288 288 287 288 288 288 288 288 288 288 287 286 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 244 244 244 244 245 246 246 245 245 244 244 244 245 246 246 247 248 249 249 249 249 248 247 246 246 246 247 247 248 248 249 249 248 248 248 248 249 249 250 250 250 250 249 249 248 250 252 254 257 259 261 261 261 259 258 258 261 264 267 270 271 271 270 268 266 264 263 262 261 260 259 259 260 260 261 262 263 265 266 268 269 269 269 269 267 266 266 265 266 266 267 268 269 271 272 274 275 276 276 275 275 274 275 275 275 275 275 276 276 277 277 278 278 279 280 280 281 282 282 282 283 283 283 284 284 285 285 284 285 286 286 287 288 289 290 291 292 293 293 293 293 293 293 294 294 294 294 293 293 293 293 292 291 291 291 290 291 291 291 292 291 291 290 290 289 289 290 292 293 294 294 294 294 294 294 294 295 296 297 298 298 297 297 296 295 294 293 294 294 294 295 295 296 298 300 301 302 303 304 304 303 301 300 299 301 303 305 306 306 305 304 304 305 304 304 303 303 304 304 304 304 305 305 306 307 307 307 307 306 306 307 309 313 317 319 322 323 323 321 319 318 317 316 315 312 309 307 306 306 307 307 310 312 315 315 316 315 314 312 310 308 306 306 306 307 310 313 315 316 316 315 312 309 306 305 304 304 304 303 302 300 299 299 298 298 299 298 298 296 295 293 291 289 288 287 286 286 286 286 285 284 285 285 286 287 288 288 289 289 289 288 288 288 288 288 288 288 288 287 287 286 285 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 245 245 245 245 246 246 246 246 245 244 244 244 245 246 247 248 248 248 248 248 248 247 246 246 246 246 246 247 247 247 246 246 246 246 247 247 248 248 248 248 248 247 246 246 247 249 251 255 258 260 260 258 256 254 255 258 262 265 268 269 269 268 267 265 263 262 260 259 257 256 255 255 257 258 258 260 262 264 265 267 268 267 267 265 265 264 264 264 265 266 267 268 269 270 272 273 274 274 274 274 273 273 272 272 272 273 274 275 275 275 275 275 276 277 279 279 280 281 282 283 283 284 284 285 286 285 285 285 286 285 286 286 288 289 290 290 291 292 292 292 293 293 294 294 294 294 294 293 293 293 292 292 292 292 292 292 291 291 291 291 290 290 289 290 290 291 293 294 294 294 294 294 294 294 294 294 295 296 297 297 298 299 299 299 298 297 296 295 295 295 296 297 298 300 302 303 303 304 303 302 301 301 301 302 303 305 305 305 305 305 305 304 304 303 303 304 304 305 305 305 306 306 307 308 307 306 305 305 305 306 309 312 315 317 319 321 320 319 318 316 315 314 313 311 309 307 306 305 305 305 309 312 315 317 316 315 313 310 306 303 301 300 300 301 304 308 311 313 314 314 312 309 307 306 305 305 305 303 301 299 299 298 298 298 298 298 297 296 294 293 291 289 288 287 286 286 286 286 285 284 284 284 285 287 287 288 288 289 289 289 289 289 289 289 288 288 287 286 286 285 284 282 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 245 245 245 245 245 246 246 246 246 245 244 244 244 244 245 246 247 247 248 248 247 247 247 247 247 247 247 247 246 245 244 244 244 245 245 246 247 247 247 247 246 246 245 245 245 246 249 252 256 257 257 254 252 251 253 256 260 263 265 266 266 265 264 263 261 260 258 256 254 253 252 252 253 254 256 257 259 260 263 264 265 265 264 263 262 262 262 263 264 265 266 267 268 269 270 271 272 272 273 273 272 272 271 270 270 271 272 272 272 272 272 273 274 275 276 277 278 280 281 282 283 284 285 286 287 287 287 286 286 285 285 285 286 287 287 288 289 290 291 292 292 293 294 294 294 294 294 293 293 293 293 293 293 293 293 292 292 292 291 291 291 290 290 291 291 292 293 294 294 294 295 295 294 294 294 294 294 295 295 296 297 299 300 300 300 299 297 296 295 296 296 297 298 300 301 302 303 303 303 303 302 302 302 303 303 304 305 305 305 304 304 303 302 302 302 302 304 305 306 306 306 307 308 308 308 306 305 304 305 306 308 310 312 314 316 317 316 315 313 311 310 311 312 313 312 310 308 306 304 303 306 310 315 316 316 315 312 308 303 299 296 294 293 294 297 302 307 310 312 313 311 309 307 306 305 305 304 302 301 300 298 297 297 297 297 296 296 295 294 292 290 289 287 287 287 287 287 286 286 285 284 285 285 286 287 287 288 289 289 290 290 289 289 289 288 287 286 286 285 284 283 283 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 245 245 245 245 245 246 246 246 247 246 246 245 244 243 243 244 244 245 246 247 247 248 247 248 248 248 249 249 248 247 245 243 243 243 243 244 245 246 246 246 246 246 246 245 245 245 245 247 250 253 254 253 250 248 248 251 255 259 261 262 262 262 261 261 260 259 258 256 254 252 250 249 249 250 252 253 254 256 257 259 261 262 262 261 260 259 260 261 262 263 264 265 266 267 268 269 269 270 271 272 272 272 271 270 269 269 269 269 269 269 270 270 272 273 273 275 276 277 279 280 281 283 284 285 286 286 287 287 287 286 285 285 285 285 285 285 286 287 288 289 291 292 292 293 294 294 294 294 293 293 292 292 293 293 293 293 293 292 292 291 291 291 291 291 291 292 293 293 294 294 295 295 295 294 294 294 294 294 294 295 295 297 298 299 299 299 298 297 296 295 295 295 296 297 298 300 301 302 302 302 303 303 303 303 303 303 304 304 304 304 303 303 301 300 301 301 301 303 304 305 304 305 305 307 308 309 308 307 306 305 305 306 307 309 311 313 314 313 310 307 304 304 306 312 316 317 315 311 307 304 303 304 306 310 313 313 312 308 304 300 296 293 291 288 288 291 296 301 306 309 311 310 309 306 304 303 302 302 300 299 298 297 296 295 295 294 294 294 293 292 291 290 288 287 287 287 287 286 286 286 286 286 286 286 286 286 287 287 288 288 289 289 289 289 289 288 287 286 286 286 285 284 284 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 244 245 245 245 245 246 246 247 247 247 247 246 246 245 244 244 244 244 245 246 247 248 248 249 249 249 250 250 250 248 246 244 242 242 242 243 244 245 nan 245 245 246 246 245 245 244 245 246 249 251 251 250 247 245 246 251 255 258 260 259 258 258 257 257 257 257 256 255 253 252 250 249 248 249 250 251 252 253 254 256 258 259 259 258 257 257 258 259 260 262 263 264 265 265 266 267 268 269 269 270 270 270 270 269 268 268 267 267 267 267 268 269 270 271 272 273 275 277 278 279 281 282 283 284 285 286 286 287 287 286 286 285 284 284 284 284 285 286 286 287 289 289 290 292 293 293 294 293 293 293 293 292 292 292 292 292 292 292 292 292 292 292 292 292 292 293 293 293 294 294 294 294 294 294 294 294 294 294 295 294 295 296 297 297 298 298 298 297 296 296 295 295 295 296 297 298 300 301 302 302 303 303 303 303 303 303 303 302 302 302 301 301 300 299 299 300 300 301 302 302 302 303 304 306 308 310 311 310 308 306 305 304 305 307 310 312 312 310 307 304 300 299 303 311 318 320 319 314 310 305 303 301 302 304 306 307 307 303 300 298 295 293 290 287 287 289 292 298 302 306 309 309 307 303 300 298 298 297 296 295 295 294 294 293 292 291 291 290 290 289 289 288 287 286 286 286 286 286 286 286 287 287 287 286 286 286 286 286 287 288 288 289 289 289 288 287 287 287 287 287 287 286 286 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 245 245 245 245 246 246 247 248 248 248 248 247 247 246 246 246 246 246 247 248 248 249 249 249 250 250 251 250 248 246 244 243 242 242 243 nan nan nan nan nan 245 245 245 244 245 246 249 250 249 246 244 243 245 250 255 258 259 257 255 254 255 255 256 257 256 255 254 253 252 251 250 249 249 249 250 251 252 254 255 255 255 255 254 254 255 257 258 260 261 262 262 263 264 265 265 266 267 268 268 268 268 268 267 267 266 266 265 265 266 267 269 269 271 272 274 276 278 279 280 281 282 283 284 285 285 285 285 285 285 284 284 283 283 283 284 285 285 286 286 287 288 290 291 293 293 293 293 293 293 293 292 292 291 291 291 292 292 292 292 292 293 293 293 294 294 293 293 293 293 293 293 293 294 295 295 295 295 295 295 295 296 296 297 297 297 297 297 297 297 296 296 297 297 298 299 300 301 302 302 303 302 302 302 302 302 301 301 300 300 299 299 298 298 299 299 299 300 300 301 302 303 305 308 310 312 312 310 308 306 304 305 306 308 309 310 308 305 302 298 297 300 309 316 320 320 315 311 306 303 301 300 302 303 304 303 301 300 298 298 297 294 291 290 290 292 296 300 304 307 307 305 301 297 294 292 292 292 291 291 291 291 291 290 290 289 288 288 287 287 287 286 286 285 285 285 285 286 287 288 288 288 287 286 286 286 286 287 287 288 288 288 289 288 288 289 289 289 289 288 288 288 288 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 245 245 245 245 246 246 247 248 249 249 249 249 249 249 248 248 247 248 248 249 249 249 248 248 249 250 250 250 249 248 247 245 244 243 242 nan nan nan nan nan 244 244 244 246 248 250 249 247 244 242 242 245 251 256 258 258 255 253 253 254 257 259 260 258 256 254 255 256 256 254 252 250 248 248 249 250 252 252 253 252 251 251 251 252 254 255 257 258 259 260 260 261 262 263 264 265 265 265 265 266 266 266 266 265 265 265 265 265 266 267 268 269 271 273 275 277 278 279 281 282 282 283 284 284 284 284 284 284 283 283 283 283 283 284 284 285 285 285 286 287 289 290 291 291 292 293 293 293 293 292 291 291 291 291 291 292 292 292 292 293 294 294 294 294 293 293 292 292 nan nan 293 294 295 296 296 296 295 295 295 295 296 296 296 297 297 298 299 298 298 297 297 298 298 298 299 300 302 302 302 302 302 301 301 301 301 300 300 299 298 298 297 297 297 297 297 297 298 299 300 302 304 306 309 312 312 312 309 307 305 304 305 306 306 305 303 302 300 299 299 301 307 314 318 318 315 311 307 303 301 301 301 302 302 302 301 301 301 302 302 301 299 297 296 297 298 300 303 304 304 303 300 295 292 289 289 289 289 289 290 290 291 290 290 290 289 289 289 288 287 286 284 284 284 284 285 286 287 288 288 288 287 287 286 286 287 287 287 288 289 289 289 290 290 291 290 290 290 289 289 289 289 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 245 245 245 246 246 247 248 249 249 250 250 250 250 250 250 249 249 249 248 248 247 246 246 247 249 251 252 251 251 250 249 246 244 241 240 240 241 242 243 244 246 248 250 252 250 247 244 241 242 245 252 257 258 255 252 252 253 258 263 265 264 260 256 254 256 259 261 259 255 251 248 247 247 249 250 250 250 249 248 248 248 249 251 253 254 255 256 257 258 259 259 260 261 261 262 262 263 264 265 265 265 265 265 264 264 264 264 265 266 268 270 272 274 275 277 279 280 281 282 282 282 283 283 283 283 283 283 282 282 283 283 284 284 285 285 285 286 287 288 289 290 290 291 292 292 292 292 291 291 291 291 291 291 291 291 292 292 293 294 294 294 294 293 293 292 291 291 nan nan nan 295 296 296 296 296 295 295 295 295 295 296 296 297 298 299 299 299 299 299 299 298 298 299 300 301 301 302 301 300 300 300 301 300 300 300 299 298 297 296 296 295 294 295 295 297 298 300 301 302 304 306 308 309 309 309 306 303 301 301 301 300 300 299 298 298 299 302 306 311 316 318 317 314 312 308 306 304 303 303 303 303 302 303 303 304 305 306 306 305 304 303 303 303 303 302 301 300 300 298 296 293 290 290 289 289 289 290 291 292 292 291 291 290 290 290 290 289 287 285 284 284 284 285 286 287 289 289 289 288 287 287 286 287 287 288 288 289 289 289 290 291 291 291 290 290 290 290 290 290 289 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 245 245 246 246 247 247 248 248 249 249 250 251 252 251 250 249 248 247 246 245 245 245 247 249 250 251 251 250 250 249 246 243 241 240 240 243 246 248 251 253 254 253 251 247 243 241 243 248 255 256 255 251 250 252 256 262 266 267 265 259 255 252 255 260 265 264 259 253 249 247 247 248 249 249 249 248 247 247 247 248 250 252 253 255 256 256 257 258 259 260 260 260 260 261 262 262 262 263 263 263 263 264 263 264 264 264 266 267 269 270 272 274 276 278 280 281 282 282 282 282 282 282 282 282 282 282 282 283 284 284 284 284 285 285 286 287 288 289 289 290 290 291 291 291 290 290 290 290 290 291 291 291 291 292 292 292 293 292 292 292 293 292 292 291 291 291 292 nan nan 295 295 295 295 295 296 295 296 296 296 296 297 297 298 299 299 300 300 299 299 299 299 300 300 301 300 300 300 300 300 300 301 301 301 300 299 297 296 295 294 293 293 294 296 298 299 300 301 301 302 302 303 304 303 301 300 298 296 296 296 296 295 295 296 301 306 312 316 319 319 317 314 312 310 309 307 306 305 304 303 304 304 305 307 308 308 309 308 308 307 307 306 304 302 299 297 296 296 295 294 294 294 293 293 293 293 294 293 293 292 291 290 290 291 291 290 289 288 286 285 285 285 286 288 289 290 289 288 287 287 287 287 288 288 288 288 289 289 290 291 291 290 290 290 290 290 289 289 289 288 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 246 246 247 247 247 247 248 248 248 249 250 251 251 250 249 248 247 246 245 244 245 246 247 248 248 248 249 249 248 246 244 243 244 247 250 253 255 255 255 254 251 247 242 241 244 250 257 256 253 250 250 253 258 262 265 266 264 258 253 250 255 262 268 269 264 257 250 247 246 246 247 248 249 248 248 247 247 248 250 252 253 255 256 256 256 257 258 259 259 259 258 258 258 258 258 258 258 259 260 261 262 263 264 265 267 269 270 271 272 273 276 278 280 281 282 282 282 282 282 282 282 282 282 283 283 283 283 284 284 284 284 285 286 287 288 289 289 290 290 290 290 289 289 289 289 289 290 290 290 291 292 292 292 292 291 291 291 291 291 291 291 291 290 290 291 291 nan 293 293 293 294 295 296 296 296 296 296 295 296 296 297 298 299 300 300 300 300 300 300 300 301 300 300 300 300 300 300 301 301 301 302 301 300 299 297 296 295 294 295 295 297 299 300 301 300 300 299 298 297 296 296 296 295 294 293 293 293 293 293 294 296 303 309 315 318 319 318 316 313 311 310 309 308 306 305 304 304 305 306 307 309 309 310 310 310 309 309 309 308 305 303 299 296 293 292 293 294 295 296 297 297 297 298 297 296 294 291 289 288 289 290 291 291 291 290 290 288 287 287 287 288 289 289 289 288 287 287 286 287 287 287 288 288 289 289 289 289 290 290 290 290 290 289 289 289 289 288 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 246 247 247 247 247 247 247 248 248 249 250 251 251 250 249 248 247 245 244 244 245 246 246 247 248 249 250 249 248 247 248 251 253 254 255 255 255 254 250 246 241 241 245 251 257 255 252 251 253 255 258 260 262 262 261 257 253 251 257 265 271 272 267 260 253 248 246 245 246 247 249 249 249 248 248 248 249 251 253 255 255 255 255 255 256 257 257 257 257 256 254 253 252 252 252 255 256 258 260 262 264 266 269 271 273 273 274 275 276 277 279 280 281 282 282 282 282 282 283 283 283 283 283 283 283 283 284 284 285 286 287 287 288 288 289 289 289 289 289 288 288 288 288 288 288 289 290 291 291 291 291 290 290 289 289 289 289 289 289 290 290 290 290 290 291 292 292 292 293 294 295 296 296 296 295 295 295 295 296 297 298 300 300 300 300 301 300 300 300 300 300 300 300 300 300 301 302 302 302 301 301 299 298 297 296 296 297 298 299 300 300 299 298 297 297 295 294 292 292 292 292 292 292 293 293 293 294 296 299 305 311 316 317 317 315 313 311 310 309 309 308 306 305 304 303 305 306 308 310 310 311 310 309 309 310 310 309 307 303 299 295 291 290 290 291 293 296 298 299 300 300 299 297 294 290 288 287 288 289 290 292 293 293 293 292 290 289 289 289 289 289 289 288 287 287 286 287 287 287 288 289 289 289 288 287 288 289 289 289 289 289 289 288 288 288 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 247 247 247 247 247 247 248 249 250 251 252 251 251 250 248 246 245 244 244 245 246 247 248 250 251 250 251 251 252 253 254 254 254 254 253 250 245 242 242 246 252 255 254 253 253 255 257 258 258 258 258 258 256 255 254 261 268 273 273 268 262 255 250 246 244 245 247 249 251 251 250 249 248 249 250 253 255 256 255 254 253 253 254 255 256 256 254 251 249 247 247 248 251 253 256 258 261 264 267 270 272 274 276 276 277 277 278 278 279 280 281 282 282 283 283 284 284 284 284 284 284 284 284 284 284 285 285 286 287 287 287 288 288 288 288 288 288 287 287 287 287 287 287 288 289 290 290 289 289 288 287 287 287 287 287 287 288 289 289 290 290 291 290 290 291 292 293 294 295 295 295 295 294 294 294 294 295 297 298 299 300 300 300 300 300 300 299 299 300 300 301 301 301 302 301 301 301 300 299 298 297 297 297 297 298 298 298 297 296 295 296 296 295 294 293 292 291 291 291 292 293 295 295 297 299 303 307 311 314 314 313 312 310 309 308 308 308 307 306 304 304 303 303 304 306 308 308 308 308 308 309 308 310 309 307 304 299 294 289 286 285 286 289 292 295 297 299 300 299 297 295 292 290 289 289 290 291 293 294 295 295 294 292 290 289 289 289 289 289 289 289 288 287 287 287 288 289 289 289 289 287 287 287 288 289 289 290 289 289 289 288 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 247 247 247 247 248 249 250 251 252 252 252 251 249 247 246 245 245 245 245 246 248 250 251 251 252 252 252 252 252 252 253 253 250 247 244 245 248 252 254 254 255 256 257 258 258 257 256 255 256 256 257 258 263 268 272 271 268 263 257 251 247 244 244 246 249 252 252 251 249 248 248 249 251 254 255 254 252 251 251 252 254 256 256 254 250 247 245 246 248 250 252 255 257 260 263 267 270 272 274 276 278 279 279 279 279 279 279 280 281 282 283 283 284 284 285 285 285 284 284 284 284 284 285 285 286 286 286 286 287 287 287 287 288 288 287 287 287 287 287 287 287 287 287 288 287 287 286 286 286 286 285 286 286 287 287 288 289 290 290 290 290 290 291 292 293 294 294 294 294 294 294 293 293 294 295 296 297 298 299 299 299 299 299 299 299 300 301 301 301 301 301 301 300 299 298 297 296 295 295 295 295 295 296 295 295 294 294 295 295 296 296 296 294 293 292 291 292 293 296 299 301 303 305 306 308 309 309 308 307 307 306 306 307 306 306 305 304 303 302 301 302 302 303 303 303 303 304 305 305 306 305 304 302 298 294 288 284 282 282 284 287 291 293 295 297 298 297 296 294 293 293 293 294 295 296 296 296 296 294 292 290 289 289 290 290 291 291 290 290 289 288 288 289 289 290 289 288 287 286 287 288 289 290 290 290 289 289 288 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 248 249 250 251 252 252 252 251 250 249 248 246 245 244 244 245 247 249 250 250 250 250 250 251 251 252 252 251 250 249 249 251 253 255 256 257 258 259 259 258 257 256 255 255 256 258 259 262 264 267 268 266 262 256 251 247 244 244 245 248 251 252 251 248 247 247 248 250 251 252 251 250 249 249 251 254 257 256 253 250 246 246 247 249 252 253 255 257 260 263 266 269 271 273 275 277 279 280 280 280 279 279 279 280 281 281 282 283 284 284 285 284 284 284 284 284 284 284 285 285 285 285 286 286 287 287 287 287 288 288 289 289 288 288 287 286 286 285 285 285 285 285 285 285 285 285 285 285 286 286 287 288 289 289 289 289 289 290 291 291 292 292 292 293 293 292 292 292 293 293 294 295 296 297 298 298 298 299 299 300 300 301 301 301 301 300 299 299 298 297 296 295 293 292 292 292 292 293 293 293 294 295 296 296 297 298 298 296 294 292 290 290 292 295 299 302 304 303 304 304 304 304 304 303 303 303 304 305 305 305 305 304 302 300 298 297 297 298 298 299 301 302 302 301 300 299 297 297 296 294 290 285 282 280 282 284 288 290 292 293 295 295 295 294 294 295 295 297 297 298 298 297 295 293 290 288 287 288 290 292 293 294 293 291 290 290 289 290 290 289 289 288 287 287 289 289 290 290 290 290 290 289 289 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 249 249 250 250 251 251 252 252 251 249 246 244 243 243 245 246 248 249 249 250 250 250 251 251 252 251 251 251 252 253 255 256 257 258 259 259 259 259 258 258 257 257 257 257 257 257 258 260 262 261 259 255 251 247 244 244 245 247 249 250 250 248 247 248 248 248 248 248 247 247 247 248 251 254 257 256 253 250 247 248 249 251 252 254 255 257 260 263 266 268 270 272 274 276 278 279 280 280 280 280 279 279 280 280 281 282 283 283 284 284 283 283 283 283 283 283 284 284 285 285 285 286 286 287 287 287 288 288 289 289 289 288 287 286 285 284 284 284 283 284 284 285 285 285 285 285 285 285 286 287 287 287 287 287 288 289 289 290 290 290 291 291 291 291 291 291 292 292 292 293 294 295 296 296 297 298 299 299 300 300 301 300 300 299 298 297 296 295 295 293 291 290 289 290 291 292 293 294 295 296 296 296 297 297 298 296 293 290 288 288 290 293 296 299 301 301 300 300 300 301 300 299 299 300 301 303 304 305 305 304 302 299 296 294 293 294 296 297 300 301 302 301 299 296 292 293 293 295 295 292 288 284 283 285 288 289 291 292 293 292 292 292 293 294 296 297 297 298 297 297 295 293 289 287 286 289 292 295 296 296 294 293 292 290 290 291 290 290 289 289 288 289 290 291 291 291 291 291 290 290 290 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 249 249 nan nan nan nan 252 251 249 246 244 243 243 245 246 247 248 249 250 251 251 251 251 251 250 251 251 252 254 254 255 256 257 258 259 260 260 260 260 259 258 257 256 255 254 255 256 257 256 254 250 247 245 245 246 248 249 250 250 250 250 250 250 249 248 246 245 244 244 245 248 251 255 255 254 252 250 249 250 251 253 255 257 259 262 264 266 268 270 272 274 275 276 277 278 278 279 279 279 279 279 280 280 281 282 282 282 282 282 282 282 282 282 282 283 284 284 285 285 286 286 287 287 287 287 288 288 288 289 288 287 286 286 285 284 283 283 283 283 284 284 284 285 284 284 285 285 286 286 285 285 285 286 287 287 288 288 289 289 290 290 290 290 291 291 291 291 291 292 293 294 295 296 297 298 299 300 300 300 299 299 298 297 295 295 294 293 291 290 289 289 290 291 293 294 296 297 296 296 295 295 295 296 294 291 287 286 286 287 290 292 295 297 297 297 297 297 297 297 296 296 297 299 301 302 303 303 302 301 298 295 293 292 293 296 298 301 303 305 304 301 298 293 292 293 296 299 300 298 293 290 289 292 294 294 293 292 291 291 291 292 294 295 296 296 296 296 296 295 293 290 287 287 291 295 298 298 297 296 294 292 291 290 291 290 290 290 290 290 290 291 291 292 291 291 291 292 292 291 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 246 244 244 245 246 247 248 249 250 250 250 251 250 250 250 250 251 252 253 253 254 255 256 258 259 260 260 260 259 257 256 256 254 253 252 252 253 253 253 251 249 247 247 249 251 253 254 254 254 254 254 254 252 250 247 244 242 241 241 244 248 254 256 255 254 251 250 250 253 256 258 260 263 264 266 268 270 271 272 273 274 275 275 275 275 276 277 278 279 279 280 281 281 282 282 282 281 281 280 280 280 280 281 282 282 284 284 285 285 286 286 287 287 286 287 287 287 287 287 287 287 286 285 285 284 283 283 283 284 284 285 285 285 285 285 286 285 285 284 284 284 284 285 285 286 287 287 288 288 289 289 289 289 289 289 290 291 291 292 292 293 294 296 296 297 298 299 299 298 297 296 295 295 294 293 292 291 290 289 290 291 293 295 296 297 297 297 295 293 293 292 292 290 287 284 284 284 285 286 287 289 290 292 293 294 294 294 293 293 293 294 296 297 299 300 300 300 299 297 295 293 293 294 295 297 300 303 306 307 305 302 298 296 296 298 301 304 304 301 298 297 299 300 299 296 293 291 290 291 293 294 295 296 296 295 295 295 295 293 290 288 288 294 299 303 302 301 298 295 293 291 290 290 290 289 290 291 291 291 292 292 292 292 292 292 293 293 292 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 244 244 244 245 245 245 245 244 244 244 244 244 244 244 245 245 245 246 246 246 246 246 246 247 247 247 248 248 249 249 249 249 249 249 249 248 247 247 246 246 246 246 246 246 247 248 248 249 249 250 251 251 252 253 253 253 253 252 251 250 249 248 248 247 246 246 245 245 244 243 243 244 245 245 244 240 237 234 234 237 240 244 245 245 245 245 245 245 245 245 245 246 246 246 246 246 247 248 249 250 251 251 251 251 251 251 251 252 252 252 251 251 251 252 253 254 255 258 265 271 275 273 269 265 267 268 268 266 265 265 267 268 267 266 266 266 267 268 270 271 272 272 271 271 272 273 274 275 276 277 278 278 279 279 279 279 280 281 281 282 283 283 284 284 284 283 283 283 283 283 282 282 282 283 283 284 284 284 285 284 284 282 282 281 281 280 281 281 281 281 280 278 278 277 276 277 276 276 275 274 274 274 274 274 275 275 276 277 277 278 279 280 280 281 281 282 282 282 283 283 284 283 284 284 285 285 285 285 285 285 286 286 287 289 290 291 291 292 292 293 292 293 293 293 294 294 294 294 292 291 290 291 292 293 293 294 294 294 293 292 293 nan nan nan 303 303 302 301 300 298 297 296 295 295 295 296 297 298 299 300 300 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 242 243 243 243 244 244 244 244 244 244 244 244 244 244 244 244 244 244 244 244 245 245 245 245 245 246 246 246 246 246 246 247 247 248 248 248 249 248 248 247 247 246 246 246 245 246 246 246 247 247 248 248 249 249 250 250 251 251 251 252 251 251 250 249 248 248 247 247 246 246 245 245 243 242 241 241 243 244 244 242 240 238 239 242 245 246 246 245 245 245 244 245 245 245 245 245 246 246 245 245 245 245 246 247 248 248 248 248 248 248 249 249 250 251 251 251 251 251 252 252 251 251 254 258 262 262 261 258 261 263 264 264 266 269 273 273 272 270 268 267 268 270 273 275 275 274 273 271 270 270 271 273 274 275 277 277 277 278 278 278 278 279 280 281 281 282 282 282 282 282 282 283 283 283 283 283 283 283 283 283 284 284 284 283 283 282 281 281 281 281 281 281 281 281 280 278 277 277 276 276 276 275 275 274 274 274 274 274 274 274 275 275 276 277 278 278 279 280 280 280 280 281 282 283 283 283 284 284 284 284 284 283 283 284 284 285 286 287 288 289 290 291 291 291 292 292 293 294 294 295 295 294 293 292 292 292 292 293 294 295 294 293 290 289 290 295 300 304 306 306 305 302 299 297 295 295 294 294 295 295 296 298 299 300 300 300 300 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 241 241 241 242 242 243 243 243 243 244 243 244 244 244 244 244 244 244 nan nan nan 244 244 244 244 245 245 245 245 245 246 246 246 246 246 247 247 248 248 247 247 247 246 246 246 246 246 246 247 247 247 248 248 249 249 249 249 249 249 250 250 249 249 249 248 248 247 247 246 246 246 245 245 243 242 241 240 241 242 243 243 244 244 245 246 247 247 247 246 245 244 244 244 244 244 244 245 245 245 245 244 244 244 244 244 245 246 246 246 247 247 248 248 249 250 251 252 252 252 253 252 252 249 248 248 250 253 255 256 258 259 258 260 264 270 273 272 271 268 267 267 268 272 274 276 276 275 274 272 272 271 272 272 273 274 275 275 276 276 277 277 277 277 278 279 279 279 280 280 280 280 281 282 283 283 284 284 284 283 283 283 283 283 283 283 282 281 281 281 281 281 282 281 281 280 279 278 277 277 276 275 275 274 273 273 274 274 274 274 274 273 273 273 274 274 275 276 277 278 278 279 279 280 281 281 282 283 283 283 283 282 282 282 282 283 283 284 285 286 287 288 289 289 290 290 291 292 292 294 294 294 294 294 294 293 293 293 293 293 294 294 294 291 289 287 290 294 299 303 305 305 303 300 298 296 295 295 294 295 295 295 296 298 299 300 300 300 300 299 299 299 299 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 240 240 240 241 241 241 242 242 243 243 243 243 243 243 243 243 243 243 243 243 nan nan nan nan nan 244 244 244 244 245 245 245 245 245 245 245 246 246 247 247 247 247 247 247 246 247 247 247 247 247 247 248 248 248 249 249 249 249 248 248 248 248 247 247 247 247 247 246 246 246 246 246 245 245 244 242 241 240 240 241 242 244 245 246 247 247 247 247 246 245 244 244 243 243 243 243 243 244 244 244 244 244 244 244 244 244 244 245 245 246 246 247 247 248 249 250 251 252 252 253 253 254 254 252 249 246 246 248 251 255 256 256 255 257 261 267 268 266 264 263 263 264 266 269 272 274 274 274 274 274 273 272 272 272 272 272 272 273 274 275 276 276 276 276 276 277 277 277 278 278 278 279 280 281 282 283 284 284 284 283 283 283 283 283 283 282 282 282 282 282 282 282 281 281 280 280 279 278 277 277 276 275 274 274 273 273 273 273 274 274 273 272 270 270 271 272 273 274 276 276 277 277 278 279 280 280 281 282 281 282 281 281 281 281 282 281 282 283 284 285 286 287 287 288 288 289 290 291 292 293 293 294 294 294 294 295 294 294 293 293 293 293 293 291 290 289 291 294 298 301 303 302 300 298 296 295 295 295 294 295 295 295 296 297 299 300 300 300 299 299 299 298 298 299 299 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 240 240 240 240 240 240 240 241 241 242 242 242 243 243 243 243 243 243 243 243 243 243 nan nan nan nan nan nan nan 243 244 244 244 244 245 245 245 245 245 246 246 247 247 247 247 247 247 247 247 248 248 248 248 248 248 248 248 248 248 248 247 247 246 246 246 246 246 245 245 245 245 245 245 245 244 244 243 242 241 241 241 242 243 245 246 246 246 246 246 245 244 243 243 242 242 242 243 243 243 244 244 244 244 244 245 245 245 245 245 245 246 246 246 247 247 248 249 250 251 252 252 253 254 254 254 252 250 249 249 251 253 255 256 256 256 258 261 261 260 259 261 263 265 265 267 268 269 270 272 274 274 273 271 270 269 269 269 270 271 273 274 275 275 275 275 275 275 275 275 276 276 277 278 278 280 281 282 283 283 283 283 283 283 283 283 282 282 282 282 283 282 282 281 281 280 280 279 279 278 277 277 276 275 274 274 273 273 272 272 272 271 271 270 269 268 269 269 270 273 274 275 275 276 277 277 278 279 280 280 280 280 281 281 281 281 281 281 281 282 283 284 285 286 286 287 287 288 289 290 291 292 292 292 293 294 295 296 295 295 294 293 293 292 292 292 291 292 293 294 297 301 302 301 298 296 295 295 295 295 295 295 296 296 296 297 298 300 300 300 300 299 298 298 298 298 298 298 297 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 239 240 240 240 240 240 240 240 240 241 241 242 242 242 242 243 243 243 243 243 243 243 242 242 242 nan nan nan nan nan 243 243 243 244 244 244 244 244 245 245 245 246 246 247 247 247 247 247 247 248 248 248 248 248 248 248 248 248 247 247 246 246 245 245 245 244 244 244 244 244 244 244 244 244 244 243 243 242 242 241 241 242 243 243 244 244 244 244 244 243 243 242 242 241 242 242 242 242 243 243 244 244 244 245 245 245 245 245 246 246 246 246 247 247 247 248 248 249 249 250 251 251 252 253 253 254 253 252 252 253 254 256 258 259 258 257 256 256 256 258 262 266 268 266 265 263 263 265 267 271 272 271 269 267 265 263 264 266 268 271 273 274 274 274 274 273 273 273 274 274 275 276 276 278 279 280 280 281 281 282 282 282 283 283 283 283 283 283 283 283 283 282 281 281 280 280 279 279 278 278 277 277 276 275 275 273 272 272 271 271 270 269 268 267 266 267 267 269 270 272 273 274 275 276 277 277 278 279 279 279 279 280 280 280 281 280 281 281 281 282 283 283 284 285 286 286 287 288 289 290 291 291 291 293 294 295 296 296 295 294 294 293 293 292 292 293 294 294 296 300 304 304 301 296 293 292 293 294 295 295 296 296 297 297 297 299 300 301 301 300 299 298 298 298 298 298 297 297 296 296 296 296 297 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 239 239 239 240 240 240 240 240 240 240 241 241 241 242 242 242 242 243 243 243 243 243 243 242 242 242 242 nan nan nan 242 243 243 243 244 244 244 244 244 244 245 245 245 246 246 247 247 247 247 247 247 247 247 247 247 247 247 247 246 246 246 245 245 244 244 244 244 243 243 243 243 243 243 243 243 243 243 242 242 241 241 241 242 242 242 242 242 242 242 242 242 241 241 241 241 242 242 242 243 243 243 243 244 244 245 245 246 246 246 247 247 248 248 248 248 248 248 249 249 249 250 250 251 251 252 253 253 254 254 254 256 258 260 261 260 257 253 252 253 257 262 266 268 266 263 260 257 258 261 265 267 267 266 264 262 261 261 263 265 268 271 272 273 273 272 272 272 272 273 273 274 274 275 277 278 278 279 279 280 280 281 281 282 283 283 283 283 283 283 282 282 282 281 281 280 280 279 279 278 277 277 277 277 276 275 274 273 272 271 270 269 268 267 266 265 265 266 267 269 271 272 273 274 275 276 276 276 277 277 278 278 279 279 280 280 280 280 281 281 281 282 282 283 284 284 285 286 287 288 289 289 290 292 293 295 296 296 296 296 294 294 293 293 293 293 294 296 297 300 304 305 302 297 292 290 290 292 294 295 295 296 296 297 297 298 300 303 304 303 301 299 298 298 298 298 298 297 296 295 295 295 296 297 298 299 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 239 239 239 239 239 240 240 240 240 240 240 241 241 241 241 242 242 242 242 243 243 243 243 243 243 242 242 242 242 242 242 243 243 243 243 243 244 244 244 244 245 245 245 246 246 246 246 246 246 246 246 246 246 246 246 246 245 245 245 245 245 245 244 244 243 243 243 243 242 243 242 242 242 242 242 242 242 242 241 241 241 241 241 241 241 241 241 241 241 241 240 240 240 240 240 241 242 242 243 243 243 243 243 244 244 245 245 246 247 247 248 248 249 249 249 249 249 250 250 250 251 251 251 252 253 253 253 253 253 254 255 258 260 261 259 257 253 251 251 254 258 262 265 265 262 258 255 254 255 258 261 262 261 260 260 262 264 264 265 266 268 270 271 271 271 271 271 272 272 272 272 273 274 275 276 277 277 278 278 279 280 280 281 282 282 283 283 282 282 282 281 281 280 280 280 280 280 279 278 278 278 278 277 276 276 275 273 272 271 270 269 267 266 266 265 265 265 266 268 270 271 272 273 274 274 274 275 275 276 276 277 278 279 279 279 280 281 281 281 281 281 282 282 283 284 285 285 286 287 288 289 291 292 294 295 295 296 295 295 294 293 293 293 293 294 295 296 298 299 300 297 293 290 288 288 289 291 293 295 295 296 297 298 298 299 302 305 306 304 301 299 299 299 299 299 298 297 295 294 294 294 294 295 296 297 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 238 239 239 239 239 239 240 240 240 240 240 240 241 241 241 242 242 242 242 243 243 243 243 243 243 243 243 243 243 243 243 243 243 243 243 243 244 244 244 244 245 245 245 245 245 245 245 245 245 245 245 245 244 244 244 244 244 244 244 244 244 243 243 243 243 242 242 242 242 242 241 241 241 241 241 241 241 241 241 241 240 240 240 240 240 240 240 240 240 240 239 239 239 240 241 242 242 242 243 243 243 243 243 244 244 245 245 246 247 248 249 249 249 249 250 251 251 252 252 252 252 254 256 257 257 256 253 253 252 254 256 258 259 258 256 253 250 249 250 253 257 261 263 262 259 255 253 252 253 254 254 254 255 259 266 269 269 267 266 266 268 270 270 271 271 271 271 271 271 271 272 273 274 275 275 276 277 277 278 279 279 280 281 282 282 282 282 281 281 280 280 280 279 279 280 280 279 279 278 278 278 277 277 276 275 274 272 271 270 269 268 267 266 265 265 265 266 268 269 270 271 272 272 273 273 273 273 273 274 275 276 277 279 279 280 281 281 281 281 281 281 281 282 283 284 285 286 287 288 289 291 293 294 295 295 295 295 295 294 293 293 293 294 294 294 296 297 297 296 293 290 288 287 288 288 290 293 295 295 296 297 298 299 300 304 306 306 303 301 300 300 300 299 299 297 295 294 292 292 292 292 293 294 294 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 238 238 239 239 239 239 239 239 239 240 240 240 240 241 241 241 242 242 242 242 243 243 243 243 243 243 243 243 243 243 243 243 243 243 243 243 243 243 244 244 244 245 245 245 245 245 245 245 244 244 244 244 243 243 243 243 243 243 243 243 243 243 243 242 242 242 242 241 241 241 241 241 241 240 240 240 240 240 240 240 240 240 240 240 239 239 239 239 239 239 239 238 238 239 240 241 242 242 243 243 243 244 244 244 244 244 245 245 246 247 248 248 249 249 250 251 252 252 253 252 253 255 258 260 260 258 255 253 253 255 257 257 257 255 253 251 249 248 249 252 256 260 262 261 259 256 254 252 250 249 248 248 251 257 266 270 270 266 264 265 266 268 269 270 270 271 271 270 270 271 271 272 272 273 274 275 276 277 278 279 279 279 280 281 281 281 281 280 279 279 279 279 279 279 279 279 279 279 278 278 278 278 277 276 275 274 272 271 270 270 269 268 267 266 266 266 266 267 268 269 269 270 270 271 271 271 271 271 272 273 274 275 277 279 279 280 280 280 280 280 280 280 281 282 283 284 285 286 287 289 290 292 293 293 294 294 294 294 294 294 294 294 294 294 294 294 295 295 294 292 290 289 288 288 289 291 293 295 296 296 297 298 299 301 303 304 304 303 302 301 300 298 297 296 294 292 291 289 288 288 289 290 291 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 239 239 238 238 239 239 239 239 239 239 240 240 240 241 241 241 242 242 242 242 242 243 243 243 nan nan nan nan nan nan 243 243 243 243 243 243 243 243 243 244 244 244 245 245 245 244 244 244 244 243 243 243 243 243 243 243 243 242 242 242 243 242 242 242 241 241 241 241 241 240 240 240 240 240 240 240 240 240 240 239 239 239 239 239 239 239 239 239 239 238 238 238 238 240 241 242 242 242 243 243 244 244 244 244 244 244 245 245 246 246 247 248 249 250 250 251 252 252 252 252 253 255 257 258 258 255 254 253 255 257 258 255 253 251 250 249 249 251 255 259 261 260 258 255 253 252 251 249 246 244 245 249 254 261 262 262 261 261 262 264 266 268 269 269 270 270 270 270 270 271 271 271 272 273 274 275 276 276 277 278 279 279 280 280 280 279 279 278 278 278 278 278 278 278 279 278 278 278 278 278 277 276 276 274 273 271 271 270 270 269 268 268 267 266 266 266 266 266 266 266 267 268 268 269 270 270 270 270 271 272 273 274 276 277 278 278 279 279 279 279 279 280 281 283 284 285 286 287 288 290 291 292 292 292 293 293 293 293 294 294 294 294 293 293 293 293 293 293 292 291 290 290 290 291 292 293 295 296 297 297 298 300 301 302 303 303 303 302 300 297 295 293 291 290 289 288 286 285 286 287 289 290 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 238 239 239 239 239 239 239 239 239 239 240 240 240 241 241 241 242 242 242 242 nan nan nan nan nan nan nan nan nan nan nan nan nan 243 243 243 243 243 243 243 244 244 244 244 244 244 244 243 243 243 242 242 242 242 242 242 242 242 242 242 242 242 241 241 241 241 240 240 240 240 240 240 240 240 240 240 240 240 239 239 239 239 239 239 239 239 239 239 238 238 237 238 239 240 242 242 242 242 243 243 244 244 244 244 245 244 244 245 245 246 247 248 249 250 250 250 250 250 250 249 249 251 253 254 254 253 252 254 256 257 254 252 250 249 250 252 255 258 261 262 259 255 252 250 249 248 247 245 245 246 249 252 254 254 255 256 258 260 263 265 266 267 268 269 269 269 270 270 270 270 271 271 272 273 273 274 275 276 276 277 278 278 278 278 278 277 277 277 277 277 277 277 278 278 278 278 278 278 277 276 276 275 273 272 271 270 270 269 269 269 268 267 266 265 264 264 264 264 263 263 264 265 266 267 268 268 268 268 269 270 271 273 274 275 276 276 277 278 278 279 280 281 282 284 285 286 287 288 289 289 290 291 291 292 292 292 293 293 294 294 293 292 292 292 292 292 293 293 293 293 293 293 293 294 295 296 297 297 297 298 299 300 301 302 302 302 301 298 295 292 289 288 288 288 287 286 286 286 288 289 291 292 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 239 239 239 239 239 239 239 239 239 239 240 240 240 241 241 241 242 242 242 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 244 243 243 243 242 242 242 242 242 242 242 242 242 242 242 241 241 241 241 240 240 240 240 240 240 240 240 240 240 240 240 240 240 239 239 239 239 239 238 238 238 238 238 238 237 237 238 240 241 242 242 242 242 243 243 244 244 244 245 245 245 246 246 246 247 247 248 250 250 250 249 248 247 245 244 245 247 250 250 250 249 251 253 254 254 253 251 251 252 254 257 259 260 260 258 254 251 249 248 247 246 246 248 250 251 252 252 252 253 255 258 260 262 263 264 265 266 267 268 269 269 269 269 269 270 270 271 271 272 273 273 274 274 275 275 275 276 276 275 275 275 275 275 276 276 277 277 277 278 278 277 277 276 276 275 274 272 271 270 270 270 270 269 268 267 266 265 264 264 263 262 262 261 261 261 263 264 265 266 267 267 266 267 267 268 269 270 271 272 274 275 276 278 279 280 281 282 284 285 285 286 287 287 288 288 289 290 291 291 292 293 293 293 292 292 291 291 291 291 292 293 294 295 295 296 296 296 296 296 297 298 298 297 297 298 298 299 300 301 300 299 297 294 291 288 287 288 289 290 290 290 290 290 291 292 293 292 nan nan nan nan nan nan nan 294 294 295 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 239 239 239 239 239 239 239 239 240 240 240 240 240 241 241 241 241 241 241 241 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 242 242 242 241 241 241 241 241 241 241 240 240 240 240 239 239 239 239 239 239 240 240 240 240 239 239 239 239 239 239 239 239 238 238 238 237 237 238 239 240 241 242 242 242 242 243 244 245 245 246 247 247 248 249 248 248 248 248 249 250 249 247 244 243 242 242 243 244 246 247 247 246 246 247 250 252 252 252 252 254 255 257 257 256 256 255 254 253 252 251 249 249 250 253 256 256 254 252 252 253 256 258 260 261 262 263 264 265 265 266 267 268 268 268 268 268 269 269 270 270 271 271 272 272 272 273 273 273 273 273 273 273 273 274 274 274 275 275 275 276 276 276 276 276 275 274 272 271 270 270 270 269 269 268 267 266 265 263 263 262 261 261 260 259 259 259 260 262 263 264 265 265 265 265 265 265 266 267 268 270 271 273 275 277 279 280 281 282 283 284 285 285 286 286 286 286 287 288 289 291 292 292 292 292 291 290 289 290 291 292 293 294 295 297 298 298 298 297 296 296 297 298 298 297 297 297 297 298 299 299 299 298 296 293 290 288 288 289 291 293 294 295 294 293 293 292 293 292 292 nan nan nan nan nan nan 297 296 295 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 239 239 239 239 239 239 239 240 240 240 240 240 240 240 241 241 241 241 241 241 241 241 241 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 241 241 241 241 240 240 240 240 240 240 240 240 239 239 239 239 239 239 239 239 239 239 239 238 239 239 239 239 239 239 239 238 238 237 237 238 239 240 240 241 241 242 243 245 245 246 246 247 248 248 248 247 247 247 247 248 249 248 245 241 239 239 241 243 244 247 248 248 247 245 244 245 248 250 252 253 254 255 254 253 251 251 252 253 254 254 253 252 253 255 258 260 260 258 256 255 256 257 259 260 261 262 262 263 263 264 264 266 266 267 267 267 268 268 268 268 269 269 269 270 270 270 271 271 271 271 271 271 271 271 272 272 272 272 272 272 273 273 273 273 273 273 272 271 271 270 270 269 269 268 267 266 265 264 263 262 262 261 260 259 259 259 258 259 260 261 262 263 264 264 264 264 264 264 265 266 268 269 272 274 276 279 280 281 282 282 283 284 284 284 285 285 285 286 287 289 290 291 291 291 290 289 289 289 290 292 293 294 295 296 297 298 299 298 297 296 295 296 297 298 297 297 297 297 297 298 298 298 297 295 292 290 289 290 292 294 296 297 297 297 295 294 293 292 292 292 292 293 295 296 297 298 298 297 297 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 239 239 239 239 239 239 239 240 240 240 240 240 240 240 241 241 241 241 241 241 241 241 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 242 242 241 241 240 240 240 240 239 239 239 239 239 239 239 239 238 238 238 238 238 238 238 238 238 238 238 238 238 238 238 238 238 238 238 238 238 238 239 239 239 240 240 242 244 245 245 245 246 247 246 245 243 244 244 245 246 247 246 244 241 239 240 242 243 245 248 251 252 251 247 244 243 244 246 249 251 253 253 251 249 248 248 249 251 254 255 255 255 256 258 260 261 261 260 259 258 258 259 260 260 260 261 261 262 262 262 263 264 265 266 266 267 267 268 268 268 268 268 268 268 268 268 269 269 269 269 270 270 270 270 270 270 270 270 270 270 271 271 271 271 271 271 271 271 271 270 270 270 269 268 267 266 264 264 263 262 262 261 261 260 259 259 259 259 260 261 261 262 262 262 263 263 264 264 265 266 268 269 272 274 277 279 280 281 281 281 281 282 283 283 284 285 285 286 288 289 290 290 290 290 289 288 289 289 291 293 295 295 296 297 297 298 298 297 296 295 295 295 296 297 298 298 298 297 297 297 297 297 296 294 292 291 291 292 294 296 297 298 298 297 296 295 293 293 292 293 295 296 297 297 296 nan nan 297 297 297 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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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