Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 12 11 10 9 9 9 9 9 9 9 9 9 9 10 10 10 11 10 10 10 10 10 10 9 9 9 9 9 10 10 11 11 10 10 9 8 7 7 6 6 6 7 8 9 9 11 12 13 12 11 9 9 10 11 11 12 11 11 11 11 12 12 12 14 18 21 20 13 5 4 8 11 11 11 10 9 11 15 21 25 23 18 14 12 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 9 8 7 6 6 5 4 4 4 4 4 4 5 5 6 6 7 7 7 7 7 7 7 8 8 9 9 9 10 10 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 nan
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nan 11 12 12 11 11 11 11 11 11 11 11 11 11 12 13 14 15 16 16 16 15 15 14 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 12 12 12 12 12 11 10 10 10 10 10 10 11 11 12 12 12 12 12 11 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 9 9 9 9 8 8 8 8 8 8 7 6 5 6 6 7 8 9 9 9 9 9 10 10 10 9 7 6 5 7 10 14 19 23 27 29 31 31 30 29 28 27 25 23 20 17 12 7 3 -0 -3 -5 -4 -4 -4 -5 -5 nan
nan 11 12 12 11 11 11 11 11 11 11 10 11 11 12 13 14 15 16 16 16 15 15 14 13 12 12 12 12 12 12 12 12 12 12 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 12 12 12 12 11 11 11 10 10 10 11 11 11 11 12 12 12 12 11 11 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 12 12 11 11 11 10 9 9 8 8 8 8 8 8 7 6 6 6 7 8 9 9 9 9 9 9 10 10 9 8 8 7 8 11 14 16 18 19 20 21 22 23 24 25 26 26 27 27 27 24 21 17 14 10 5 1 -1 -3 -5 -7 -9 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
242 221 204 191 180 170 160 148 136 127 121 117 116 116 117 116 113 110 106 100 94 88 82 74 67 58 47 36 25 16 10 8 8 11 18 24 31 35 37 38 36 28 20 15 12 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 3 3 4 5 6 5 5 7 9 9 9 11 13 15 15 14 14 18 23 26 25 25 29
284 261 238 216 199 188 179 166 153 141 132 126 125 127 128 127 126 124 121 116 111 106 101 95 88 79 68 56 45 33 24 17 13 14 20 24 28 33 39 44 46 38 27 22 21 16 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 3 3 3 3 4 5 5 6 7 8 9 9 11 13 16 15 14 15 19 23 25 23 23 26
306 288 265 240 217 202 190 178 165 153 143 137 136 135 136 136 137 137 135 130 125 120 116 111 104 95 85 73 62 51 40 29 22 19 21 24 27 30 36 42 46 42 32 26 23 19 10 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 3 3 3 4 5 5 6 8 8 8 8 10 13 13 13 13 15 19 23 23 22 21 21
323 307 285 261 234 211 198 186 175 164 154 148 145 144 143 144 146 148 146 142 137 132 127 122 115 107 97 86 76 66 54 43 34 28 25 26 28 30 35 42 48 50 41 29 22 18 15 12 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 3 3 3 4 4 5 5 7 8 8 8 9 11 13 13 13 13 14 18 21 22 21 20 19
341 324 305 283 252 225 207 195 186 176 166 160 155 154 154 155 156 158 158 155 150 144 138 133 126 117 108 101 90 81 70 60 50 40 34 32 31 32 36 42 49 56 53 39 25 17 17 19 19 14 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 3 3 2 3 4 5 5 7 8 8 8 9 11 12 13 13 13 15 18 20 20 21 21 20
372 353 334 312 281 248 223 208 201 194 185 176 169 166 167 167 168 170 171 170 166 159 152 145 138 130 124 118 107 97 86 77 68 56 48 43 40 38 39 44 53 62 64 54 35 23 21 25 29 29 24 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 3 3 3 4 5 6 7 8 9 8 8 10 12 13 14 13 15 17 20 22 23 22 22
403 385 363 339 309 275 245 225 216 209 203 195 187 183 183 182 182 183 183 182 179 175 167 158 150 143 138 132 124 114 103 94 88 76 68 60 54 50 50 56 65 72 75 71 50 34 28 30 34 39 39 24 11 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 3 3 3 3 4 4 5 7 9 9 8 9 10 11 13 13 13 14 15 18 20 21 21 21
415 401 384 364 335 304 275 250 233 221 218 213 208 205 202 200 196 194 194 193 190 185 178 170 162 158 155 150 141 132 123 115 109 101 93 85 79 78 78 83 89 92 93 90 69 50 37 34 35 40 42 35 23 11 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 3 3 4 4 4 4 6 9 9 9 9 9 11 12 13 14 14 15 16 17 18 18 19
420 414 402 383 359 332 305 279 257 242 238 235 232 229 226 221 215 210 207 204 199 195 190 183 175 170 166 163 157 149 141 135 131 126 119 113 109 111 114 119 124 126 124 119 104 83 59 42 38 40 41 38 30 11 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 3 4 4 4 4 4 5 7 8 9 9 9 11 12 13 14 14 14 14 14 14 15 15
427 419 409 396 378 358 335 311 286 270 263 261 259 258 254 248 239 232 226 220 215 210 206 202 196 191 186 181 175 168 162 158 155 151 145 139 136 137 141 149 158 160 160 158 151 136 111 79 60 49 42 37 29 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 2 2 3 4 4 4 4 5 5 6 7 9 9 10 10 11 13 14 14 14 14 13 12 12 13
422 420 416 406 393 379 362 341 316 299 289 285 284 287 285 280 272 262 253 243 237 232 227 224 221 219 216 210 202 193 185 181 178 175 169 160 155 155 160 169 182 188 190 190 188 184 166 133 102 77 59 45 25 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 3 3 4 5 6 5 5 5 6 8 10 10 11 11 13 13 14 14 13 13 12 12 13
425 425 421 415 407 397 383 364 344 329 319 313 309 309 312 310 303 292 283 271 263 257 251 248 246 248 246 240 231 219 210 204 200 196 190 181 175 173 177 186 200 208 212 211 209 208 195 173 147 119 92 66 33 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 3 3 4 5 5 6 6 7 6 6 8 10 11 12 11 11 11 11 12 12 13 13 13 13
440 436 431 426 419 411 401 389 377 362 345 332 333 334 337 336 330 319 310 301 291 282 273 267 271 276 276 272 262 247 235 228 223 219 213 205 196 192 195 202 211 221 230 234 229 222 208 193 174 148 119 85 49 18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 3 3 3 4 5 6 7 7 7 8 9 9 10 11 11 10 10 10 11 11 12 13 13
452 447 443 438 434 429 424 419 413 397 373 365 364 365 363 357 348 339 331 324 316 306 295 291 295 299 300 298 287 272 261 254 252 250 242 233 223 216 213 213 217 227 241 252 252 239 223 205 183 155 125 94 60 27 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 3 3 3 3 4 6 7 7 7 8 9 9 10 10 10 10 11 10 10 9 11 12 13
466 464 462 460 457 454 450 446 443 433 412 403 398 393 386 377 366 358 350 344 339 333 325 319 316 314 314 314 305 293 284 279 279 280 272 262 252 242 233 227 225 229 238 247 252 247 234 215 193 163 128 99 69 37 11 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 3 3 3 4 4 6 6 6 7 7 8 8 9 10 9 9 9 9 9 9 11 12 13
474 475 478 480 482 483 480 471 462 455 448 439 431 422 412 400 388 381 377 376 372 363 352 342 334 330 326 326 321 314 309 306 304 303 298 289 278 267 257 247 238 231 227 227 228 227 222 213 198 172 135 103 77 43 15 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 3 3 4 5 5 6 6 6 6 7 6 7 7 7 8 7 7 7 8 9 10 10 12 13
464 472 479 487 494 498 500 497 492 486 478 467 456 447 437 423 411 406 406 405 399 385 371 358 348 342 336 336 335 333 331 328 326 323 317 309 299 289 279 267 255 241 227 216 208 203 203 202 194 175 142 109 82 52 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 3 3 3 4 5 5 6 6 6 6 7 6 7 7 7 7 6 6 6 7 6 8 9 10 12 14
433 452 467 480 490 493 498 504 510 514 508 498 490 481 468 450 432 428 430 426 418 402 385 370 358 350 344 342 342 343 345 343 342 342 340 333 321 309 298 287 275 261 247 232 218 206 199 196 189 171 142 110 82 48 16 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 3 4 5 5 7 7 6 6 6 6 7 7 7 7 6 6 6 6 6 7 8 10 10 10 11 14
383 411 434 455 470 478 484 493 503 515 523 528 527 519 503 482 460 448 443 433 419 407 392 377 363 352 346 344 346 350 354 356 358 360 359 355 345 333 322 311 300 293 277 259 241 222 205 196 181 159 134 110 86 41 11 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 3 4 5 5 6 7 7 6 6 5 6 7 7 7 6 5 5 5 5 5 6 7 9 10 9 11 13
317 351 380 411 434 452 466 478 495 515 533 545 549 545 530 509 486 466 451 435 419 407 393 377 362 353 348 347 350 357 363 368 372 373 373 372 367 358 346 333 320 310 295 278 259 237 211 187 162 137 115 102 82 46 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 3 4 5 6 7 7 7 6 6 6 7 7 7 8 7 6 6 5 5 6 6 7 9 10 10 11 12
255 288 319 354 386 413 437 458 477 501 525 546 559 562 550 532 511 488 466 443 422 406 392 377 364 358 354 353 357 365 374 385 388 384 381 382 380 374 363 346 331 317 302 286 266 236 203 169 137 106 84 77 63 40 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 4 4 5 6 6 6 6 7 8 8 8 8 8 7 7 6 6 6 7 7 8 10 10 10 11 12
210 235 266 300 331 363 395 425 450 479 508 536 557 564 559 547 531 513 494 470 449 429 409 391 377 369 364 362 365 372 380 387 390 388 385 382 377 373 367 350 335 318 299 276 248 214 183 151 117 79 62 55 44 26 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 4 4 5 5 6 7 7 9 10 9 9 9 8 8 7 7 7 7 8 8 10 10 10 10 10 13
178 200 229 259 286 313 345 380 411 441 472 503 533 550 560 562 557 547 533 511 487 463 438 413 399 389 379 372 368 367 364 366 373 379 379 377 373 367 361 347 327 304 278 246 207 180 157 131 101 67 50 40 31 19 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 3 4 4 5 6 7 8 9 9 10 11 11 10 9 8 8 9 9 9 11 11 11 11 12 12 15
152 174 200 228 253 276 302 330 361 392 425 461 496 527 553 572 582 577 567 551 529 504 478 446 430 416 399 379 360 346 338 340 350 361 367 368 365 357 348 330 303 272 241 203 175 153 130 103 73 51 38 28 20 11 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 3 3 4 5 7 8 9 9 10 12 13 13 12 11 10 10 10 10 11 12 13 13 12 14 16 20
121 141 164 187 209 230 254 280 310 340 372 410 452 494 533 566 590 597 592 579 560 535 515 493 476 456 431 398 363 337 325 326 334 343 350 351 347 338 326 307 280 249 221 191 163 136 107 77 49 32 23 17 13 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 3 3 4 6 8 10 10 11 13 14 13 13 12 12 12 11 11 12 14 14 13 14 15 17 19 22
83 98 116 138 161 187 214 238 265 294 325 363 407 454 497 530 553 567 574 573 565 547 534 524 514 500 474 433 392 359 338 328 328 329 331 330 325 315 303 286 263 237 210 181 152 122 91 61 36 20 12 8 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 5 7 9 10 10 11 13 15 15 14 13 13 12 12 13 14 16 16 16 16 16 18 19 20 22
43 56 72 91 112 134 160 188 219 251 281 312 345 383 423 451 476 501 524 538 541 533 524 519 519 522 502 468 430 391 359 340 330 322 315 309 304 295 285 270 251 228 201 173 144 113 83 54 30 16 9 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 7 8 10 11 11 13 14 15 17 16 15 15 15 16 17 17 17 17 16 16 17 18 19 20 22
22 27 36 47 61 78 104 136 170 203 230 251 273 298 323 345 370 407 446 477 490 493 493 490 488 505 501 485 456 418 382 356 336 319 305 298 292 285 276 263 246 224 199 172 143 113 82 52 29 15 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 6 8 10 11 12 14 14 14 16 17 17 17 16 17 18 19 19 18 17 15 15 16 17 18 20 21
14 13 15 19 26 41 65 94 124 155 177 193 202 209 217 233 241 261 297 343 377 402 426 441 440 453 459 460 447 419 384 363 344 324 305 290 285 281 278 273 261 233 204 175 145 114 82 54 32 17 8 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 6 8 9 10 11 13 16 17 17 17 18 18 18 18 19 19 20 20 20 18 15 15 17 17 18 20 22
11 6 5 8 11 21 38 59 82 103 128 148 160 166 162 161 163 169 177 187 206 243 286 322 351 379 387 387 387 378 367 356 344 330 322 311 301 288 275 264 256 236 210 179 145 111 79 51 30 15 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 5 6 8 10 10 11 13 16 17 18 19 20 20 20 21 21 21 21 22 20 18 16 16 17 17 18 20 21
12 6 1 1 4 10 21 36 57 77 97 114 131 148 168 171 174 178 175 155 137 134 142 167 201 246 281 299 307 312 316 318 316 316 317 321 321 311 288 263 253 236 208 171 134 101 70 44 24 10 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 4 5 7 9 10 10 11 14 16 18 19 20 20 20 22 24 24 23 22 21 20 18 16 16 16 17 19 20 21
13 8 2 0 1 4 10 22 40 56 73 93 116 136 144 167 197 223 236 208 170 133 104 91 90 100 129 165 192 215 239 261 276 274 277 287 306 329 321 292 267 239 203 159 119 84 55 34 17 8 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 4 6 7 10 10 9 10 13 16 18 18 18 19 20 22 23 24 23 22 21 20 19 17 17 16 17 18 19 20
13 8 4 1 0 2 6 15 28 42 62 87 113 135 156 182 208 225 242 225 196 163 127 94 69 60 59 59 76 97 128 166 201 216 229 231 243 293 299 297 287 264 225 175 127 82 46 30 18 10 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 3 4 6 8 9 10 10 10 12 14 16 18 18 18 20 22 24 24 22 20 19 19 18 18 18 18 18 19 19 20
10 9 6 5 3 5 11 17 25 39 58 79 102 125 145 162 172 178 183 182 179 177 175 149 113 82 62 50 43 43 55 77 101 128 161 182 183 185 208 223 236 256 244 213 167 110 55 38 24 13 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 6 8 9 10 10 11 12 13 15 17 17 18 20 21 23 22 20 19 18 17 17 17 17 18 18 19 20 21
8 10 10 12 15 19 23 27 32 44 60 77 96 112 129 137 117 119 124 132 139 145 158 163 152 127 96 63 47 40 39 44 57 69 86 106 122 134 142 138 141 183 197 206 196 157 92 57 32 16 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 6 8 8 9 10 11 11 12 13 14 15 17 19 20 20 20 19 19 18 18 17 17 17 17 18 19 20 21
11 14 15 21 30 39 47 52 56 63 74 83 92 98 110 120 84 82 89 102 118 126 140 152 156 150 128 92 67 50 38 34 30 30 34 41 51 61 72 79 81 93 109 143 173 168 129 91 55 24 8 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 6 7 7 8 8 9 10 10 11 11 12 14 16 17 17 18 18 17 18 18 17 17 16 16 18 19 20 23
16 18 20 28 40 54 68 75 78 80 84 88 92 93 95 101 88 83 81 86 103 115 122 125 128 130 123 97 66 42 32 22 18 18 17 18 19 21 23 26 33 37 42 53 72 102 121 113 83 44 22 11 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 6 6 6 7 7 6 7 8 8 9 10 12 12 14 15 15 14 14 15 16 16 16 17 19 22 23 25
18 19 21 27 37 52 64 73 77 79 82 87 91 92 92 88 84 82 83 85 89 95 103 112 121 124 118 97 71 50 33 25 27 35 39 32 24 18 14 10 9 9 10 11 16 47 71 80 76 54 40 25 11 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 6 5 5 5 4 4 4 5 5 6 7 8 10 11 12 13 13 13 14 15 16 18 19 22 24 24 25
17 17 18 21 27 38 48 55 60 65 70 78 81 80 77 74 70 70 72 74 75 79 85 97 120 132 130 120 104 86 65 52 47 49 57 57 49 39 28 15 9 5 3 1 1 1 2 11 32 39 45 41 26 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 3 3 2 2 2 2 2 3 4 4 5 6 7 8 9 10 11 13 15 17 18 19 21 22 23 24 25
15 16 17 19 21 29 37 46 52 53 56 61 64 63 59 59 56 54 54 57 60 59 60 68 85 102 116 122 117 102 86 72 60 51 56 60 59 55 48 32 24 17 10 3 1 0 0 2 8 19 36 45 35 14 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 1 1 2 2 3 4 5 5 6 7 9 11 14 16 18 19 20 21 23 24 25
14 15 16 18 21 24 28 34 40 41 45 48 51 51 46 43 42 43 44 36 36 35 34 41 51 62 75 87 93 90 86 79 67 51 48 47 46 46 44 30 17 7 1 1 0 0 0 0 2 6 13 15 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 4 5 6 7 9 12 15 17 17 18 21 23 23 27
13 14 14 16 18 21 23 26 30 31 33 35 37 39 35 30 30 34 33 21 17 16 15 17 22 29 37 44 55 63 66 64 62 48 36 27 21 16 14 8 3 1 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 3 3 4 5 6 9 12 14 16 17 19 22 26 27 29
9 11 11 12 14 17 19 20 23 23 23 22 20 22 21 20 21 21 15 12 8 3 1 3 5 8 12 17 27 37 47 51 44 29 17 9 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 3 3 4 4 5 8 11 13 15 17 20 23 25 28 30
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