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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 6 6 7 7 7 7 7 7 7 7 7 7 6 7 7 6 6 6 6 6 6 6 7 6 6 7 7 8 9 10 11 12 12 11 11 11 11 10 10 11 11 11 11 11 12 11 11 10 9 7 6 5 6 6 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 5 5 6 6 7 7 8 8 8 8 8 7 7 8 8 9 9 9 9 9 9 9 9 10 13 19 24 25 20 13 9 5 3 3 3 6 8 10 11 10 8 6 6 5 5 5 5 7 8 11 14 15 14 10 8 6 6 6 6 6 6 5 5 5 5 7 8 8 8 8 7 5 5 7 9 10 10 11 14 16 15 11 7 5 6 7 8 9 11 14 17 19 19 18 14 12 12 12 11 10 10 9 7 5 4 5 6 7 8 9 8 7 5 2 1 2 4 6 7 nan
nan 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 5 6 6 6 7 7 7 6 7 7 8 9 10 10 11 11 11 11 10 10 10 9 9 9 10 10 11 12 13 14 15 14 12 10 8 6 5 6 7 8 8 8 8 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 5 5 5 6 7 7 8 8 8 8 8 8 8 8 9 9 10 10 10 9 9 9 9 9 11 15 21 24 22 17 13 10 7 4 2 2 5 9 10 11 9 7 6 5 4 3 3 5 7 9 10 12 13 13 11 9 8 8 8 7 7 7 6 5 5 5 6 6 6 6 5 5 6 7 9 11 13 14 14 15 14 12 8 6 5 7 8 10 12 15 19 21 22 21 18 15 13 12 11 10 9 9 8 7 6 6 7 9 9 8 7 7 6 4 3 4 6 7 8 9 nan
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nan 6 6 6 6 6 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 8 8 9 9 8 8 8 8 9 9 9 9 9 10 11 11 11 11 10 10 9 9 13 20 27 31 30 23 17 13 11 9 8 9 10 13 14 15 15 16 15 13 11 8 5 4 5 8 12 15 18 20 20 18 14 11 8 7 7 8 9 10 11 10 9 7 6 7 9 10 9 7 6 5 5 4 4 3 3 2 2 3 6 9 12 16 19 21 22 22 19 15 11 8 7 7 8 9 9 9 9 8 8 8 8 8 8 8 8 10 14 19 19 18 15 13 11 9 7 5 5 6 7 7 6 4 4 6 8 10 10 9 8 9 12 12 12 11 11 10 10 11 12 13 13 13 12 10 7 5 4 4 4 5 7 7 6 4 5 7 9 10 10 10 11 13 14 13 11 8 5 4 4 4 6 8 9 10 10 12 15 18 nan
nan 6 6 6 6 6 6 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 11 11 11 11 11 10 9 12 19 26 29 29 23 15 12 10 9 9 10 12 14 14 14 14 14 14 13 11 8 5 5 7 11 16 19 19 16 13 11 8 6 5 4 4 5 6 7 10 11 11 10 9 10 12 13 13 11 9 7 7 6 6 5 5 3 3 4 6 8 11 14 16 17 17 18 19 18 16 12 8 7 8 9 9 10 10 9 9 9 9 9 9 8 8 10 15 19 17 14 13 13 14 12 9 7 7 7 7 6 4 2 2 4 7 9 9 7 6 7 10 12 13 13 14 14 12 10 9 9 8 7 7 6 5 5 5 5 6 7 8 10 10 9 8 10 10 11 10 10 12 13 14 13 11 8 6 6 6 5 5 7 8 10 12 15 18 19 nan
nan 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 11 11 11 11 10 10 11 17 24 29 29 25 17 11 10 10 11 13 15 16 14 13 12 12 12 11 9 6 5 7 10 14 18 20 17 11 6 3 2 2 3 4 5 5 6 7 10 13 14 12 10 10 11 12 12 12 12 10 9 8 8 8 8 8 7 6 6 6 8 10 12 12 12 13 16 19 19 16 11 8 8 9 9 10 10 9 9 8 8 8 8 7 7 9 14 17 16 14 14 15 15 12 8 7 7 8 7 5 3 3 2 4 7 9 11 9 7 7 10 12 14 15 16 16 13 9 7 6 7 7 7 6 6 5 5 5 7 9 12 14 14 13 12 12 12 12 11 12 14 16 17 16 12 9 6 5 5 5 6 7 9 11 14 18 20 19 nan
nan 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 11 12 12 11 10 11 16 23 30 32 28 20 14 11 11 12 13 15 15 12 10 10 12 12 12 9 6 6 7 11 15 18 20 16 9 3 -1 -2 0 4 7 9 8 8 9 12 16 15 11 8 7 7 8 8 9 10 10 10 9 9 11 12 13 12 9 7 6 6 7 9 9 8 9 12 16 18 18 14 11 9 9 9 9 9 9 8 8 7 7 7 8 7 8 12 16 18 17 15 13 11 8 7 8 10 10 9 6 4 5 6 7 8 9 10 11 10 10 10 12 14 15 15 14 11 9 8 8 9 9 9 9 9 7 4 4 6 10 14 17 17 16 14 13 13 12 12 13 16 18 19 16 11 6 2 0 2 5 6 8 9 10 14 17 18 18 nan
nan 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 11 12 12 12 10 11 17 24 30 33 29 22 16 13 12 11 12 13 13 11 10 11 13 15 15 13 9 7 7 9 13 17 19 17 11 5 0 -1 0 4 8 11 11 11 12 15 18 17 12 8 7 7 7 6 7 7 8 8 8 9 10 13 14 14 13 11 10 9 10 10 10 8 7 7 10 15 17 17 14 12 10 10 9 9 8 7 7 7 8 9 9 9 10 12 14 15 14 11 8 6 7 9 11 12 11 10 7 7 9 11 10 9 8 6 6 7 8 9 11 12 12 12 12 11 12 12 11 10 9 11 13 12 9 6 4 6 8 12 15 15 16 15 14 14 14 15 17 18 17 14 10 6 1 -1 -1 2 5 6 8 8 10 13 15 16 15 nan
nan 6 6 6 6 6 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 8 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 11 11 12 12 11 12 17 23 29 31 28 21 17 13 11 9 9 10 10 10 11 12 14 16 16 15 12 9 7 8 11 15 19 18 14 8 4 2 2 6 10 13 13 13 13 15 17 17 14 12 13 12 11 8 7 6 5 5 5 6 8 11 13 15 17 17 16 15 13 12 11 9 8 7 8 11 15 15 14 12 10 10 10 9 8 7 7 8 9 10 11 11 11 11 11 10 9 8 7 8 10 13 13 11 9 8 9 12 13 13 12 9 5 2 1 2 3 5 7 8 9 9 9 10 12 13 12 12 13 15 16 14 11 7 6 7 9 11 13 14 16 18 18 17 18 21 22 20 15 9 2 -2 -1 1 3 6 8 9 10 10 12 13 14 14 14 nan
nan 6 6 6 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 11 12 12 12 13 16 22 27 29 27 20 14 11 10 8 7 8 8 9 10 12 14 15 15 14 12 10 8 8 9 13 17 19 15 11 8 6 6 8 11 12 11 10 10 11 12 13 13 13 14 14 13 11 9 7 5 4 4 5 7 11 14 16 17 18 17 15 11 8 7 8 9 10 10 11 12 12 11 10 9 10 10 10 9 7 8 9 10 11 12 12 11 10 9 9 9 10 12 13 14 13 11 9 7 7 12 15 14 13 10 7 4 2 -0 0 2 4 5 6 5 5 6 7 9 9 10 11 13 17 18 15 12 9 7 8 9 12 15 18 21 23 22 20 21 23 24 21 14 5 -3 -7 -3 3 7 10 12 13 14 13 13 13 13 13 13 nan
nan 6 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 8 8 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 11 11 12 12 13 16 21 26 28 25 19 13 11 11 10 10 9 8 8 9 10 12 12 12 12 11 10 9 9 10 13 18 19 17 14 11 9 9 10 11 10 7 5 4 5 6 7 8 8 10 11 12 12 11 8 6 5 5 7 10 14 17 16 14 13 11 9 5 3 3 5 8 11 12 11 11 11 10 8 8 8 9 9 9 8 8 9 11 12 12 10 9 8 9 10 12 16 19 18 14 11 9 9 9 12 15 16 13 10 9 7 6 3 2 4 7 9 8 6 3 3 4 6 7 7 7 6 8 11 14 14 11 8 5 5 7 11 17 22 25 26 24 19 17 17 18 16 11 2 -5 -8 -3 4 7 10 13 14 15 14 13 13 12 12 12 nan
nan 6 6 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 8 8 7 7 7 7 8 7 7 7 8 8 8 8 8 9 9 9 9 10 10 11 12 12 13 16 20 25 27 25 20 16 14 14 14 14 13 11 10 9 9 10 10 10 10 9 8 8 9 11 15 19 21 19 15 12 10 9 11 11 8 5 2 1 2 4 5 4 4 4 6 9 9 8 7 6 6 7 10 15 19 18 14 10 6 4 2 2 2 4 5 7 9 10 10 9 9 8 7 6 5 6 8 8 9 9 10 12 12 11 10 9 8 10 12 15 18 20 17 12 9 8 9 12 16 18 18 14 11 9 9 8 6 6 8 12 14 12 8 3 3 6 8 9 8 6 3 2 4 8 9 8 5 3 1 2 8 14 20 23 23 19 13 9 9 9 8 6 1 -5 -6 -2 4 8 10 11 12 12 11 11 12 12 12 12 nan
nan 6 6 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 8 7 7 7 7 8 8 7 7 7 8 8 8 8 8 8 9 9 9 10 11 12 13 13 15 20 24 27 26 22 18 16 15 15 15 14 13 12 10 10 10 10 10 10 8 7 6 7 9 14 18 20 19 16 12 10 9 10 10 8 5 3 2 3 5 5 4 3 3 4 6 5 4 4 5 7 11 14 19 20 17 12 6 2 0 0 3 5 7 8 8 8 7 7 7 8 7 6 5 5 7 8 9 10 10 12 13 13 12 11 10 11 12 14 16 18 17 12 9 7 7 8 11 15 19 20 19 15 11 11 10 10 10 12 13 13 10 5 3 5 9 11 11 10 7 3 1 1 3 5 6 6 5 2 0 3 8 13 16 16 13 7 3 2 3 4 5 2 -2 -2 1 6 11 12 12 10 9 9 10 12 13 13 12 nan
nan 6 6 6 6 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 9 9 11 12 12 12 15 19 24 28 28 23 18 16 14 13 13 12 11 10 10 11 12 13 13 12 9 5 4 4 5 9 13 17 18 17 14 11 9 8 8 8 7 6 6 6 7 6 5 3 4 5 6 5 4 5 7 9 13 16 19 18 13 7 3 1 3 5 7 9 9 9 9 8 6 6 7 8 8 8 8 9 10 11 11 11 12 13 13 14 13 12 12 13 13 14 15 15 13 11 10 9 8 8 8 11 15 19 21 19 15 13 12 13 12 11 9 7 3 1 2 7 11 13 13 12 9 4 1 0 2 5 9 10 9 7 3 2 4 7 10 12 9 4 0 0 2 4 6 5 3 5 8 12 15 15 13 10 8 8 9 11 13 14 13 nan
nan 6 6 6 6 6 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 9 9 10 11 12 12 14 19 24 27 28 23 17 14 13 11 10 9 7 7 8 11 14 17 17 14 10 5 2 1 2 4 8 14 18 18 16 13 9 8 8 8 8 8 8 8 8 7 6 5 6 8 10 8 7 7 8 9 11 14 15 15 10 5 4 5 11 15 15 12 9 7 7 7 8 8 9 10 11 10 10 10 11 11 12 12 13 13 13 13 12 11 11 11 11 12 12 11 12 13 15 14 11 7 5 6 9 13 17 19 18 14 11 9 8 7 5 4 2 1 4 8 12 15 16 15 11 4 0 -0 2 6 10 12 12 11 8 6 6 7 9 10 8 5 2 1 2 4 6 7 8 11 14 16 17 16 12 9 7 7 8 9 12 14 14 nan
nan 6 6 6 6 6 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 9 10 11 11 12 14 18 23 27 26 22 17 13 11 10 9 8 7 6 8 12 16 19 19 16 11 6 3 2 0 1 5 11 17 18 17 14 10 8 8 9 10 10 10 9 9 9 8 9 10 13 15 14 11 8 7 8 9 10 11 11 9 7 8 12 17 21 20 15 11 7 5 6 9 12 12 11 10 9 8 8 8 9 10 10 11 11 11 10 10 9 8 8 8 8 8 8 11 15 17 17 12 7 4 5 6 8 11 13 14 11 6 3 4 5 6 6 6 4 5 8 12 15 19 17 11 4 -2 -2 0 3 6 9 12 13 12 10 9 10 10 10 9 7 5 4 3 4 5 7 10 14 16 17 17 14 10 8 7 6 7 8 10 13 14 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
30 19 15 16 18 18 15 13 13 14 14 14 16 16 16 15 13 14 16 15 12 9 8 10 10 12 13 12 10 11 10 9 10 13 16 21 26 26 26 26 25 22 18 16 17 17 18 16 12 9 7 5 5 6 7 8 10 11 12 15 16 17 18 18 19 19 19 18 18 17 15 14 13 12 11 10 9 9 8 8 8 8 8 8 8 7 6 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 84 50 21 4 2 62 391 797 826 613 438 439 526 520 435 338 250 233 226 225 239 260 269 280 290 296 330 390 423 385 318 345 413 474 579 750 859 796 609 453 401 381 369 366 364 361 377 422 446 391 274 138 49 26 21 16 13 7 4 5 5 3 3 5 5 0 0 0 0 0 0 0 0 0 0
31 22 19 16 15 15 16 17 19 18 16 18 24 30 27 18 12 14 19 17 12 10 11 10 9 9 9 8 7 8 8 10 11 13 16 20 24 23 23 23 23 22 21 20 20 20 21 22 22 18 13 10 8 7 6 7 8 9 10 12 16 17 18 18 17 17 18 18 18 17 16 14 13 12 11 9 9 8 8 8 8 8 8 8 8 7 6 6 6 5 4 4 4 4 4 4 4 4 4 5 4 3 3 3 3 3 3 3 3 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 17 93 234 279 225 202 256 337 357 308 274 240 245 215 209 246 285 290 287 295 313 363 417 423 378 339 380 457 437 488 659 758 703 585 529 530 533 528 522 511 498 486 486 477 369 168 63 21 12 12 9 3 1 0 1 1 1 1 2 3 0 0 0 0 0 0 0 0 0 0
25 20 17 15 13 13 15 16 18 18 17 20 21 17 14 12 11 12 17 18 13 11 10 8 7 7 8 8 9 8 8 10 13 16 17 20 21 20 19 19 17 18 18 19 19 19 20 24 25 24 21 18 14 11 9 8 8 9 9 10 13 14 16 18 19 18 17 16 16 15 15 13 13 12 11 10 9 8 8 8 8 8 8 8 7 6 6 6 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 36 66 80 98 150 224 261 242 215 229 250 222 220 266 304 304 291 294 326 409 459 419 374 387 448 478 412 465 606 678 673 646 640 639 622 600 579 555 525 471 400 319 195 56 24 16 11 9 6 2 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0
20 14 10 9 9 11 12 12 12 13 16 18 19 13 13 13 13 14 17 16 9 7 7 7 7 7 8 8 10 12 12 13 16 16 19 20 20 19 18 15 13 12 10 9 11 13 15 19 24 27 28 27 23 18 14 12 9 9 10 9 11 13 15 17 19 18 16 15 16 16 14 12 13 12 10 10 9 8 8 8 8 8 8 7 6 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 2 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 7 29 61 79 100 152 195 196 189 217 235 242 262 311 318 287 257 266 329 434 465 384 372 439 500 493 464 543 651 716 739 725 687 630 565 508 466 425 370 298 213 129 60 18 15 13 9 7 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
20 16 11 10 8 8 8 9 9 10 15 19 16 9 11 13 13 13 12 11 7 5 6 7 8 8 9 10 10 12 14 15 16 17 18 18 17 17 15 13 11 10 9 8 8 10 12 15 18 24 28 32 31 26 22 17 12 10 10 10 11 14 16 17 18 16 15 15 16 16 15 13 14 12 10 9 9 8 8 8 8 8 7 6 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 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 8 31 62 82 86 108 146 163 180 208 236 278 323 356 300 220 173 189 265 354 366 326 401 523 577 596 662 785 863 807 771 702 614 522 430 344 288 245 193 137 82 40 23 18 18 14 11 10 12 12 9 5 2 1 0 0 0 1 1 0 0 0 0 7 7 3 0 0
17 13 12 20 12 8 9 9 8 8 12 19 15 14 16 14 12 10 9 8 8 7 8 8 9 9 8 8 9 13 16 16 17 17 16 15 13 12 11 10 9 9 9 8 9 10 12 14 14 16 19 27 35 35 30 23 17 13 11 10 10 12 14 16 16 15 14 14 15 16 15 14 14 12 11 9 8 8 8 8 8 7 6 6 6 5 4 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 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 4 18 41 64 76 85 116 148 178 215 261 319 378 377 245 132 84 94 145 209 251 296 475 636 688 777 921 987 882 763 682 587 500 420 332 239 176 138 99 63 39 27 24 23 19 14 13 15 18 21 21 17 11 7 5 5 3 2 2 0 1 0 6 9 6 2 0 0
22 14 12 15 11 10 13 14 13 12 14 21 18 16 16 17 15 10 8 9 9 8 8 9 9 9 11 11 12 14 16 17 16 15 14 13 11 9 8 8 8 9 11 13 15 14 13 17 14 12 11 16 25 32 32 28 21 15 11 9 8 10 12 15 15 15 14 13 14 14 13 14 14 12 11 10 8 8 8 8 7 7 6 6 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 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 6 23 45 61 74 98 141 186 242 299 357 390 343 181 64 33 38 65 107 175 297 535 715 770 920 1077 1069 880 713 607 534 473 403 314 225 162 115 68 42 33 27 23 21 20 18 18 23 28 32 33 30 26 21 20 21 13 5 1 1 4 2 6 5 2 1 0 0
13 12 10 10 10 12 15 19 19 18 20 22 23 22 18 21 19 13 10 11 10 9 10 12 13 13 14 14 13 14 14 15 15 14 13 12 10 9 8 8 8 11 16 21 22 20 18 22 23 17 13 11 14 21 28 29 23 17 12 8 8 10 12 14 15 14 13 13 13 12 12 13 13 12 10 9 8 8 7 7 6 6 6 6 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 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 2 4 6 13 32 53 72 99 142 198 264 321 363 359 277 130 26 18 21 32 64 152 341 634 778 787 944 1075 1034 843 652 576 553 503 444 376 306 243 174 59 57 43 38 33 28 25 24 25 26 28 31 35 38 39 40 43 45 29 13 4 1 1 0 0 5 7 5 2 0
17 12 9 8 9 11 15 16 19 23 27 26 24 23 18 22 20 16 14 14 13 11 13 18 19 18 16 13 11 12 13 13 13 13 11 11 9 8 9 9 11 15 20 24 25 24 22 24 30 27 20 13 12 16 23 27 23 17 12 8 8 10 12 14 14 13 13 13 13 13 12 14 13 11 9 8 8 7 6 6 6 6 5 4 4 4 4 4 4 4 4 4 3 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 23 36 37 29 40 59 81 110 153 199 249 288 309 270 178 74 14 9 10 16 43 161 394 653 754 798 943 979 861 696 604 605 610 564 515 460 402 305 172 59 65 52 48 43 39 37 35 34 34 37 45 56 63 68 71 74 73 48 25 11 4 2 2 6 12 13 10 5 1
16 17 15 13 12 11 13 15 17 20 25 25 21 18 17 18 17 16 16 16 15 14 15 17 19 18 16 15 14 14 14 13 12 12 10 10 8 7 9 12 14 17 19 22 24 24 22 20 21 25 23 17 14 15 22 28 27 20 12 9 9 10 12 14 15 13 13 13 13 13 13 14 11 9 8 8 7 7 6 6 6 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 1 5 21 51 91 124 128 89 64 58 60 79 111 143 173 195 180 131 72 25 4 1 2 9 37 171 345 515 647 760 843 781 653 573 579 619 622 570 499 397 310 202 114 85 92 89 79 76 75 71 64 58 56 65 98 151 191 196 178 148 104 66 34 19 13 12 12 13 15 16 12 8 4
22 21 20 18 18 16 15 17 18 19 21 19 16 14 16 17 15 14 15 13 14 16 17 18 19 16 15 13 14 15 14 14 12 11 10 9 7 7 11 15 15 13 14 16 20 22 19 17 19 21 20 17 15 16 21 29 34 29 17 9 8 9 11 13 13 12 12 13 12 12 12 11 10 8 8 7 6 6 6 6 6 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 5 5 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 10 11 5 17 60 128 196 235 227 167 84 34 18 21 30 38 44 51 46 32 15 4 0 0 1 5 37 123 212 310 409 493 543 519 458 449 502 552 536 451 345 220 153 124 147 177 175 158 139 142 147 139 126 117 121 148 209 334 433 423 372 279 148 76 40 26 24 23 19 17 20 21 16 9 5
28 26 24 20 19 21 18 19 20 20 20 19 20 27 24 19 14 12 13 15 16 19 20 20 18 16 16 14 14 14 14 13 12 10 9 9 7 7 11 14 13 10 9 11 14 15 15 15 14 15 16 15 15 16 21 30 39 40 28 12 6 8 10 12 12 12 13 13 12 12 11 10 9 8 7 6 6 6 6 6 6 5 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 7 10 4 1 1 0 0 9 19 22 17 10 30 102 207 297 334 313 245 147 39 7 0 0 0 0 2 4 3 1 0 0 0 2 7 24 45 73 164 263 332 373 395 385 382 403 411 373 297 213 143 162 221 286 310 285 244 211 209 225 243 260 275 297 329 374 500 578 595 545 386 188 79 44 34 32 32 31 33 38 39 29 5 2
34 32 30 25 23 23 23 23 28 25 24 24 25 28 27 24 17 12 15 21 22 22 21 20 18 17 17 16 15 15 14 13 13 11 10 9 8 6 7 11 12 10 8 8 9 9 9 8 9 11 11 13 15 18 23 30 41 46 36 19 9 8 10 11 13 13 13 13 12 11 10 9 7 7 6 6 6 6 6 6 6 5 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 1 0 0 0 0 0 0 0 0 0 0 6 41 72 50 16 4 2 10 34 34 23 11 17 59 148 268 369 423 429 379 267 117 16 2 0 0 0 0 0 0 0 0 0 0 3 10 23 49 137 257 371 471 509 466 410 379 332 293 259 227 214 239 324 385 405 392 351 302 270 271 304 384 486 556 594 599 556 498 550 652 614 411 195 85 58 43 35 34 37 53 67 66 57 17 5
33 33 33 30 27 25 26 27 28 27 28 30 31 30 28 28 26 24 24 25 26 24 23 21 19 18 17 17 16 16 15 14 14 13 11 9 8 7 7 8 9 8 6 6 8 7 6 6 7 9 8 9 11 14 21 30 40 47 42 27 12 7 9 11 13 14 13 12 11 9 8 7 6 6 6 6 6 6 6 6 6 5 5 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 1 0 0 0 0 0 0 0 0 0 0 4 22 71 116 70 20 11 29 57 65 36 14 7 24 79 175 292 385 448 489 458 334 162 29 3 0 0 0 0 0 0 0 0 0 0 0 0 18 111 342 481 589 656 640 538 423 365 289 234 228 262 333 421 490 497 464 427 388 351 332 330 358 473 691 837 891 836 688 514 496 614 588 380 184 93 71 46 35 31 34 56 77 83 76 54 16
34 34 34 33 30 28 27 28 28 29 30 29 30 29 27 27 27 27 25 27 26 24 22 21 18 17 17 17 17 16 15 15 14 13 12 10 8 7 9 8 7 7 7 7 8 9 7 5 4 6 6 8 10 12 18 27 37 45 45 32 14 7 7 9 11 12 12 11 10 8 7 6 6 6 6 6 6 6 6 6 5 4 4 4 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 4 4 3 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 3 15 33 32 17 35 68 91 90 53 18 5 3 20 74 166 271 351 389 422 388 278 136 33 4 0 0 0 0 0 0 0 0 0 0 0 0 11 120 428 580 644 664 620 523 419 353 312 275 323 406 505 572 590 595 573 550 531 502 465 433 434 517 756 956 1054 1001 826 628 535 587 525 323 155 83 63 36 24 18 13 30 57 88 100 77 32
37 37 36 35 33 32 30 30 30 31 32 31 31 30 28 28 27 26 26 27 24 23 21 19 17 15 15 15 15 14 14 13 14 14 12 10 8 7 7 8 8 8 8 8 7 7 7 6 5 4 4 5 7 10 15 23 32 40 42 35 15 7 7 8 10 11 10 9 8 7 6 6 6 6 6 6 6 6 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 28 67 113 124 94 55 20 4 0 0 9 55 138 232 301 325 327 277 201 111 39 7 0 0 0 0 0 0 0 0 0 0 0 0 14 111 328 461 499 526 511 463 423 411 427 454 507 561 605 635 672 727 745 753 757 729 675 606 553 566 696 886 1011 1009 906 755 625 588 502 289 125 69 50 23 5 1 0 0 0 36 75 73 43
38 38 38 37 36 35 34 34 38 35 34 33 33 32 30 29 28 26 26 25 22 20 19 17 16 15 15 15 15 13 12 12 12 13 13 11 9 7 6 7 7 8 8 7 7 6 6 5 6 4 4 4 5 7 11 17 26 34 37 32 18 10 8 9 10 10 9 8 7 6 6 6 6 6 6 7 7 6 5 5 4 3 2 2 3 3 2 2 2 2 2 2 2 3 3 2 3 3 3 3 3 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 33 77 127 109 65 34 14 4 2 1 0 2 30 95 177 244 264 232 209 197 158 81 20 1 0 0 0 0 0 0 0 0 0 3 56 129 171 215 305 382 433 430 404 440 519 595 652 663 633 604 641 734 832 890 950 1017 1015 928 802 696 642 653 733 856 923 904 817 707 607 491 288 109 73 65 34 4 0 0 0 0 22 46 52 40
39 38 38 37 36 36 36 36 37 36 36 34 33 33 32 30 27 25 24 22 21 20 18 17 15 15 15 15 15 13 12 12 13 14 13 11 9 8 6 6 6 7 7 7 7 7 7 6 6 6 5 5 5 6 8 13 20 27 29 25 19 13 8 9 8 8 8 7 6 6 6 6 6 7 7 7 6 5 5 4 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 4 3 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 12 42 75 81 38 11 5 3 3 5 7 5 2 9 46 110 171 186 163 193 262 262 165 65 12 0 0 0 0 0 0 0 0 14 77 280 438 517 554 526 475 452 471 463 489 532 582 635 655 587 554 624 746 875 981 1058 1091 1085 1088 964 832 768 739 682 688 757 795 790 752 687 572 364 130 73 74 43 5 0 0 0 0 10 26 41 46
37 38 37 36 36 36 36 35 34 33 33 35 34 33 31 29 27 26 26 22 21 20 18 18 17 16 15 15 14 13 12 13 14 13 12 10 9 8 7 6 6 6 7 6 6 6 7 6 6 6 6 4 4 4 6 11 17 22 23 22 17 12 9 8 8 7 7 6 6 6 6 7 7 7 7 7 6 5 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 4 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 22 26 17 5 1 0 3 3 6 8 7 2 1 15 53 93 103 119 199 320 365 254 113 27 0 0 0 0 0 0 0 0 35 169 386 515 454 446 519 586 595 586 557 455 342 292 314 379 431 496 600 790 971 1081 1114 1098 1073 1063 1029 973 943 909 801 651 597 605 644 673 654 558 396 212 68 60 31 4 0 0 0 0 0 10 35 60
38 39 37 36 35 35 36 34 32 31 31 33 31 29 28 28 27 27 26 22 23 22 21 19 18 16 15 15 14 13 12 12 13 11 11 10 9 8 7 6 6 6 6 6 6 6 6 6 6 6 5 4 3 3 4 8 13 18 20 18 15 11 8 7 7 6 6 6 6 6 6 7 7 7 7 6 5 5 3 2 2 2 2 2 1 2 2 2 2 2 2 2 2 2 2 2 3 3 3 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 5 2 0 0 0 1 1 4 5 3 1 0 4 16 30 33 68 155 265 304 201 84 20 0 0 0 0 0 0 0 0 16 90 246 334 252 169 276 456 551 536 531 333 137 61 93 193 327 466 670 965 1185 1289 1291 1197 1042 1062 1092 1110 1098 1040 904 715 620 595 602 571 457 328 263 235 112 76 40 14 4 0 0 0 0 8 32 61
37 38 36 33 32 33 33 31 30 28 29 29 29 28 26 27 26 26 26 24 24 23 21 20 19 17 16 15 14 13 12 12 13 11 9 9 8 8 7 6 6 6 6 6 6 6 6 6 6 5 5 4 3 3 3 6 10 15 17 17 15 10 7 6 6 6 4 4 5 6 6 6 5 5 6 5 3 2 2 2 2 2 2 1 1 1 1 1 1 2 2 2 2 2 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 5 7 5 2 0 0 2 3 4 19 50 81 95 65 24 5 0 0 0 0 0 0 0 0 1 11 33 53 63 48 46 98 170 235 300 215 182 185 266 367 478 609 836 1107 1275 1347 1368 1321 1207 1152 1136 1046 988 891 748 649 711 821 806 692 506 309 206 193 144 93 57 25 7 1 0 0 0 10 34 55
34 35 33 31 30 31 32 30 31 33 30 26 26 25 24 25 25 26 26 26 25 25 22 20 19 17 16 16 14 12 12 12 12 11 10 8 8 7 6 6 6 6 6 6 6 6 6 6 5 5 4 3 3 3 4 5 8 12 15 16 16 11 6 4 4 3 2 1 2 2 3 3 3 4 5 4 2 2 2 2 2 2 1 1 1 1 1 1 1 2 2 2 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 2 11 16 10 3 0 0 0 0 0 0 0 0 5 7 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 2 2 12 55 141 254 444 585 724 829 900 979 1092 1204 1245 1218 1138 1068 1039 1040 1042 1044 1051 1005 857 783 897 1064 1013 828 696 535 331 174 112 73 38 14 3 0 0 0 1 15 52 65
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