Vorticity
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nan 13 13 13 14 14 14 13 13 12 12 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 10 9 9 8 8 7 7 7 8 9 9 9 9 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 13 13 13 12 11 11 11 12 12 12 12 12 11 12 12 12 12 12 12 12 12 12 13 13 13 13 14 14 14 14 13 13 13 13 13 13 12 11 11 11 10 10 10 10 10 10 11 11 11 12 13 13 14 13 13 12 10 8 6 5 3 1 -1 -3 -4 -3 -3 -3 -2 1 6 14 21 25 28 31 35 37 37 36 36 35 33 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 3 4 5 6 6 7 8 9 10 10 11 11 13 14 17 18 19 19 19 21 24 26 25 23 20 16 13 13 13 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 1 2 3 7 12 8 4 1 0 0 1 2 3 3 4 4 4 4 3 3 2 2 2 3 4 5 5 5 5 6 11 35 133 326 527 715 878 1029 1065 999 872 735 658 556 492 443 417 420 436 459 493 538 579 611 649 660 639 651 719 794 881 980 1028 1026 997 952 925 924 937 963 1004 1027 1119 1222 1326 1436 1621 1742 1824 1873 1888 1889 1815 1747
0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 3 4 6 7 8 9 10 10 11 11 12 14 16 17 17 17 17 17 18 21 26 28 26 23 18 15 14 13 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 1 1 2 4 7 9 7 3 1 0 0 1 2 3 4 4 5 5 5 4 3 2 2 2 2 3 6 6 5 5 5 6 22 100 219 375 549 686 895 1024 1043 934 715 597 518 489 451 408 409 432 455 475 490 500 518 550 575 586 613 698 792 848 901 937 940 919 881 869 884 914 950 987 958 999 1128 1318 1413 1593 1744 1837 1860 1810 1766 1700 1635
0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 4 5 6 7 8 9 10 11 11 11 12 14 15 16 16 16 16 17 17 19 22 25 27 25 20 15 12 10 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 1 1 2 4 7 8 6 3 0 0 1 2 3 3 5 5 5 5 5 4 3 2 2 1 2 2 4 6 6 5 4 3 15 56 129 240 411 575 762 904 985 958 738 526 390 364 397 389 399 425 445 452 444 442 463 490 513 541 591 676 760 809 832 849 858 841 821 817 835 880 917 921 914 933 1024 1253 1403 1568 1706 1781 1781 1714 1644 1589 1555
0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 4 5 6 7 7 9 10 10 10 11 12 14 16 16 16 16 16 17 17 18 19 19 18 18 17 16 13 9 5 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 0 0 0 0 0 1 2 4 6 7 6 2 0 1 2 3 3 4 5 6 6 5 5 4 3 2 2 1 1 2 3 5 5 5 4 3 8 33 87 163 305 463 609 759 903 937 818 553 301 202 234 331 377 403 415 411 399 404 426 448 460 483 556 638 698 726 730 737 754 759 765 781 812 877 936 963 961 956 1033 1223 1430 1594 1660 1678 1657 1593 1512 1448 1441
0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 3 4 4 5 5 6 7 8 9 10 10 12 14 14 14 15 16 16 18 19 19 18 16 16 18 19 19 18 14 6 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 1 3 5 6 5 5 1 0 1 2 3 3 4 6 6 6 5 5 5 4 3 2 1 1 2 2 3 4 4 3 2 2 16 65 142 252 382 525 685 852 890 863 702 430 200 125 254 358 384 384 379 376 384 401 417 421 437 501 567 609 621 612 624 645 676 713 757 817 893 959 997 1015 1036 1122 1277 1459 1612 1620 1602 1556 1483 1402 1334 1292
0 0 0 1 1 1 1 0 0 0 0 0 1 1 1 3 3 3 3 4 4 5 6 6 7 9 9 11 12 12 13 14 15 15 17 18 18 17 17 17 20 22 23 24 22 13 6 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 3 5 6 3 2 0 0 0 0 2 3 3 5 6 6 6 6 5 4 3 2 1 2 3 3 4 4 4 3 3 2 7 42 111 208 325 454 607 750 793 799 773 637 387 189 218 341 377 363 361 367 378 390 398 396 413 452 492 515 521 516 529 564 611 663 734 817 897 963 1009 1039 1099 1217 1374 1496 1595 1607 1576 1516 1435 1361 1283 1209
1 1 1 1 1 1 1 1 0 0 0 0 1 1 1 2 2 2 2 3 3 3 4 4 6 8 9 10 11 11 12 13 13 13 15 16 17 18 18 19 21 25 30 31 30 22 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 1 2 3 4 5 3 1 0 0 0 0 1 2 3 4 5 5 6 6 5 4 3 4 5 9 11 10 7 4 4 4 3 3 7 30 93 193 309 414 547 672 738 745 736 653 462 292 241 313 362 360 356 364 379 394 398 394 398 414 434 439 440 442 457 495 550 618 706 804 900 988 1024 1057 1111 1212 1419 1523 1588 1603 1574 1512 1435 1357 1277 1201
2 2 2 1 1 1 1 1 1 0 1 0 1 1 1 0 0 0 1 2 2 2 3 3 4 6 7 8 8 9 10 12 11 12 13 15 19 23 26 28 33 39 46 43 39 30 18 7 4 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 1 2 3 3 3 2 1 0 0 0 0 1 2 2 3 4 5 6 6 6 5 4 5 9 14 17 18 12 7 4 4 3 4 9 37 99 185 268 381 513 617 673 692 669 602 460 306 225 272 317 338 351 367 391 404 406 401 394 390 397 395 391 392 405 450 510 585 677 787 895 979 1033 1074 1122 1197 1366 1480 1548 1578 1558 1487 1412 1343 1280 1214
1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 2 3 4 5 6 7 11 13 16 19 22 24 29 37 44 49 53 57 61 56 48 35 20 10 7 3 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 1 2 4 4 3 2 1 0 0 0 0 1 3 8 13 12 11 9 7 6 7 5 4 6 12 20 24 20 12 7 4 4 6 18 57 127 208 273 373 468 531 566 621 631 590 490 362 211 238 289 326 351 367 398 412 412 403 392 374 369 366 365 368 389 437 498 568 653 775 887 970 1024 1067 1114 1197 1308 1405 1491 1555 1522 1440 1357 1304 1272 1221
3 2 1 1 1 1 0 0 0 0 0 0 1 3 3 5 8 10 9 6 6 6 8 13 20 21 12 12 14 17 25 31 36 43 48 50 57 66 69 70 69 68 68 63 54 39 19 11 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 1 2 3 2 2 1 0 0 0 0 2 10 21 37 40 30 16 7 6 6 5 4 7 16 27 33 31 27 21 10 5 10 31 77 155 249 313 372 434 491 525 613 628 548 458 433 297 268 305 347 369 374 395 414 419 403 384 362 346 340 342 359 389 435 493 560 645 757 854 922 971 1031 1086 1152 1222 1306 1421 1455 1397 1320 1286 1263 1247 1212
4 2 1 1 1 0 0 1 4 7 10 13 15 21 25 33 37 34 27 23 22 33 52 64 63 61 63 55 41 34 38 43 52 59 59 57 60 65 68 70 71 69 65 60 53 42 28 17 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 1 2 3 2 1 0 0 0 0 2 6 19 47 56 44 23 6 5 7 9 9 10 20 33 41 45 45 37 21 12 15 33 75 149 244 313 346 376 457 454 457 471 481 411 429 387 346 348 380 390 393 400 413 429 409 382 355 334 324 324 341 375 424 485 551 638 731 809 865 908 975 1041 1107 1170 1243 1323 1332 1298 1265 1243 1229 1217 1194
4 2 1 1 1 1 5 12 19 25 28 31 38 39 34 31 30 31 35 45 43 48 65 84 79 59 45 37 31 29 30 31 35 38 35 34 34 35 41 50 57 57 55 52 49 39 31 22 12 5 2 1 1 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 1 2 3 2 0 0 0 0 0 1 6 40 66 69 54 25 8 4 6 10 13 11 21 34 44 51 53 45 32 23 23 36 76 142 222 291 336 361 401 385 359 382 419 406 407 405 392 372 380 389 396 402 406 415 403 377 347 322 313 308 318 348 401 462 530 610 690 759 808 855 914 984 1060 1126 1195 1232 1238 1227 1215 1198 1195 1191 1177
1 1 1 2 6 15 27 38 40 39 37 35 26 20 20 20 20 20 25 42 50 54 60 69 62 46 33 25 19 15 15 16 18 21 22 21 19 22 29 36 43 48 49 48 46 39 30 22 12 4 3 3 3 4 6 7 3 2 2 3 3 1 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 1 2 2 2 0 0 0 0 0 1 23 57 78 72 54 29 14 7 5 7 13 13 20 30 39 47 51 48 42 35 33 52 90 145 204 260 311 348 364 359 362 445 415 395 383 375 385 360 349 351 362 382 389 390 380 361 333 311 301 297 302 319 369 427 492 564 644 708 757 800 852 927 1004 1073 1131 1169 1180 1194 1200 1194 1185 1179 1157
0 0 1 10 25 39 46 44 36 32 31 27 23 23 23 22 20 17 18 29 42 55 74 75 64 50 38 29 22 17 15 14 14 16 19 23 23 23 26 33 38 44 48 48 45 37 28 18 10 5 4 3 5 8 11 12 10 8 7 8 7 4 2 1 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 1 2 3 2 1 0 0 0 0 3 25 50 63 59 45 31 19 10 3 2 5 9 15 21 30 39 46 51 52 47 47 69 110 160 209 248 281 310 327 334 334 397 416 404 365 348 344 333 331 337 348 368 380 383 376 356 326 305 293 287 292 312 349 396 450 513 592 663 714 752 795 875 952 1022 1085 1134 1156 1173 1176 1164 1146 1142 1113
4 9 21 41 60 66 60 43 30 25 25 20 20 22 22 22 21 19 19 24 32 43 67 76 71 57 42 34 27 22 18 15 13 15 19 23 26 26 30 34 37 42 46 45 40 33 24 16 9 5 5 5 7 10 14 15 13 12 12 12 9 7 5 4 3 3 3 1 0 0 0 0 0 0 0 0 0 0 1 3 3 3 2 1 1 0 0 0 4 16 31 46 50 38 29 22 13 4 2 2 5 8 13 24 33 41 49 58 57 63 85 124 180 236 251 263 275 281 268 252 283 336 375 306 321 354 371 363 364 373 387 397 397 385 357 326 301 283 275 288 307 335 372 415 476 547 616 672 708 757 827 900 970 1035 1085 1113 1125 1126 1113 1090 1100 1068
17 32 54 74 83 81 72 53 37 28 22 20 22 23 24 22 22 22 23 26 34 49 62 67 63 51 39 34 29 23 18 15 15 17 20 23 27 32 36 39 41 43 44 41 33 25 19 14 9 7 6 7 8 9 12 13 13 11 11 12 12 12 11 11 11 9 6 3 3 2 3 4 4 3 4 4 3 3 4 5 4 3 1 1 1 0 0 0 3 9 21 44 40 31 24 25 17 8 3 1 2 3 12 24 36 43 42 53 65 85 112 136 165 194 215 232 255 260 240 220 218 235 307 268 281 348 447 422 409 397 395 408 416 389 356 321 288 271 268 276 291 318 354 396 450 512 577 635 670 719 781 852 920 981 1029 1050 1054 1069 1047 1022 1018 1008
24 36 51 66 78 82 77 62 43 29 23 22 23 24 23 21 21 23 25 28 38 53 66 72 66 49 41 35 28 23 19 18 19 21 23 26 30 37 43 46 46 45 43 37 30 23 18 14 11 9 9 9 9 7 7 7 7 8 8 10 12 15 16 15 13 9 6 5 6 7 9 13 16 20 19 11 8 6 6 6 4 2 1 0 0 0 0 1 3 7 23 38 37 26 15 23 18 12 6 1 1 3 9 18 27 35 33 40 57 86 128 149 168 183 194 195 224 237 246 254 258 233 273 250 210 210 386 419 408 387 372 376 383 374 352 323 291 278 269 262 269 302 339 376 422 480 541 587 626 672 728 796 861 918 964 998 1015 1030 996 949 919 934
15 19 27 38 55 69 75 72 62 46 32 28 28 27 25 24 23 23 25 31 39 51 65 75 74 58 48 38 31 26 22 21 22 23 26 30 34 41 48 52 53 50 42 35 29 24 20 16 13 11 10 9 7 5 4 3 3 5 5 7 10 14 14 13 9 6 4 4 5 7 10 12 14 11 8 7 6 5 4 4 3 2 0 0 0 0 1 1 2 8 24 35 38 29 15 17 15 15 13 2 1 1 3 7 15 19 20 23 33 55 94 128 164 196 217 194 198 204 224 266 321 302 280 233 163 106 217 295 337 354 358 351 344 341 337 322 301 286 278 271 267 292 321 354 393 443 496 538 578 623 676 740 799 847 889 921 938 935 918 889 857 868
9 11 14 18 28 42 57 71 76 63 49 44 41 37 32 29 26 24 26 32 41 50 61 70 71 63 51 40 33 28 25 24 23 23 24 27 29 38 48 55 58 51 42 34 26 21 19 16 13 12 10 8 4 3 2 2 3 4 4 5 7 9 10 7 5 4 4 3 4 5 5 4 3 2 2 1 1 1 2 2 3 2 1 1 0 1 3 4 7 14 27 38 42 31 19 15 10 8 14 6 2 0 0 2 10 13 12 11 9 24 47 75 114 162 202 195 190 186 185 204 270 293 285 253 223 188 196 236 293 326 341 339 328 314 309 301 293 286 274 255 252 267 295 328 361 411 456 496 529 568 619 673 724 769 795 814 842 857 845 818 807 817
9 9 10 11 15 23 37 56 79 74 69 63 56 47 36 31 27 24 24 28 37 44 51 58 61 57 49 41 34 30 27 25 23 23 23 26 29 36 46 54 58 50 40 31 23 19 17 15 13 12 10 7 5 3 3 4 6 6 6 6 7 8 8 7 5 4 3 3 4 4 3 1 1 0 0 0 0 0 0 1 1 2 2 3 3 3 5 8 19 36 44 39 34 20 11 7 7 8 13 9 4 0 1 1 5 8 10 8 2 9 19 33 52 88 120 141 163 186 183 179 192 211 223 211 206 204 200 211 263 296 315 317 304 294 285 273 266 260 237 231 236 250 264 277 307 349 397 444 479 526 580 624 662 712 731 745 765 792 784 760 756 769
7 8 8 10 11 13 19 33 66 80 85 83 73 56 44 37 29 23 21 25 30 36 42 47 51 50 48 44 37 33 31 28 25 23 24 26 30 37 46 51 49 41 33 26 21 17 14 12 12 12 10 8 6 5 5 6 9 10 10 9 9 10 10 8 5 4 4 4 4 4 3 2 1 1 0 0 0 0 0 0 1 2 3 4 4 5 6 9 20 41 52 35 23 16 9 4 7 9 12 9 5 1 1 1 2 4 5 5 4 6 11 16 22 32 48 68 95 138 156 162 160 152 149 136 124 126 147 167 206 246 280 298 289 284 272 252 236 243 233 225 229 246 258 268 287 308 337 390 434 471 518 578 614 645 670 688 700 743 745 723 712 720
4 6 7 7 8 8 8 15 44 73 95 105 96 70 54 40 27 20 19 23 28 32 37 41 44 46 49 49 45 38 34 30 28 26 27 29 34 39 45 46 44 39 32 23 18 14 12 11 11 11 10 8 7 6 5 8 10 11 11 12 12 12 10 8 5 3 3 3 3 3 4 3 2 1 1 1 1 0 0 0 1 2 3 3 4 4 4 8 17 29 40 25 15 16 19 17 11 6 4 5 4 3 1 1 1 1 1 2 4 7 10 11 9 8 13 23 36 65 94 124 145 142 128 106 85 78 103 130 164 209 261 305 313 308 294 276 252 240 225 215 215 233 247 269 297 315 328 360 390 425 474 533 554 563 589 643 674 697 692 674 672 677
3 4 5 6 6 6 5 8 27 52 79 101 105 84 64 44 28 15 17 23 28 31 31 38 41 45 50 53 50 41 38 35 32 30 30 31 35 39 42 43 42 40 34 22 16 13 12 11 9 10 9 8 7 6 5 7 9 10 10 11 11 11 9 7 5 2 2 2 2 2 3 4 4 3 3 3 3 2 1 0 0 1 2 2 2 2 3 5 10 17 19 14 16 24 34 35 22 8 3 4 5 3 1 1 2 1 1 1 2 3 9 9 5 2 2 6 12 24 43 73 111 126 131 128 119 112 119 135 159 195 244 295 327 337 322 312 289 259 229 210 199 199 201 212 237 275 304 336 370 399 430 459 494 524 544 594 636 652 646 615 608 620
3 3 5 6 6 5 5 8 17 31 51 76 93 92 79 57 33 20 19 24 29 33 32 43 45 48 52 56 51 45 41 37 35 34 32 32 34 37 39 40 40 38 33 25 18 13 11 10 10 9 8 8 7 7 6 7 8 9 8 8 9 9 7 6 4 3 2 1 1 2 3 4 5 5 4 4 3 3 3 2 1 0 0 1 1 2 2 3 5 8 10 16 26 39 47 38 17 4 4 6 5 3 2 1 0 0 1 1 1 0 3 4 3 0 0 1 3 3 8 29 58 84 116 152 164 157 150 149 158 172 198 233 271 301 289 288 286 267 230 205 187 173 162 159 168 202 240 281 325 352 378 424 480 520 526 557 564 570 599 593 556 553
4 3 5 6 6 5 5 7 12 21 37 61 87 105 107 89 53 31 24 24 30 37 38 43 46 49 54 63 56 49 43 39 36 35 33 31 32 34 39 40 39 36 31 24 17 13 10 9 9 8 7 7 8 8 7 7 8 9 7 6 7 7 7 6 6 5 4 4 3 3 3 4 5 6 5 4 4 3 3 2 1 0 0 0 1 1 1 1 3 6 14 31 49 59 47 22 6 1 3 3 3 3 2 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 8 19 35 63 114 147 157 151 134 126 122 125 131 147 189 208 221 228 228 212 195 173 151 137 134 139 150 169 196 231 261 303 358 418 439 458 512 545 506 517 545 529 498
5 3 4 4 5 4 4 6 10 16 29 54 90 128 157 158 107 59 34 29 36 43 44 47 48 49 56 62 56 49 43 40 38 36 34 32 31 31 36 40 40 36 31 24 17 13 10 9 8 7 6 7 7 7 7 7 7 8 8 9 9 9 8 8 8 8 7 8 7 7 7 6 6 6 6 5 4 4 2 1 1 0 0 0 0 0 0 1 2 7 23 47 67 68 47 23 7 1 1 1 1 2 1 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 1 3 7 15 41 70 96 109 91 74 62 55 54 53 80 116 144 154 161 166 160 145 123 111 107 109 121 138 159 184 221 259 289 335 384 421 452 497 489 457 461 484 466
6 6 5 5 4 4 3 5 9 16 31 62 121 174 203 208 161 105 59 40 50 49 50 52 51 51 59 62 60 54 46 42 39 37 34 32 32 31 33 36 38 36 31 26 20 16 12 10 9 8 7 7 7 8 7 6 7 8 9 9 10 11 10 10 10 11 12 13 12 11 10 9 7 6 5 4 4 3 3 3 2 1 1 0 0 0 0 0 2 8 20 39 56 59 45 24 6 1 0 0 1 2 2 1 1 1 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 4 6 17 41 40 31 22 15 15 18 30 59 95 111 115 120 121 115 99 83 77 88 113 140 167 176 184 218 249 285 330 364 369 404 455 444 389 403 438
5 5 4 4 4 4 4 7 15 26 38 59 99 141 169 179 155 110 72 57 51 47 49 48 46 52 60 64 64 58 49 45 41 38 34 31 30 29 31 33 34 36 33 29 24 19 15 11 10 9 8 8 9 10 9 8 8 8 8 9 10 11 12 12 13 14 16 16 16 15 12 10 7 6 5 5 4 4 3 3 2 1 0 0 0 0 0 0 3 7 12 17 29 35 31 21 4 1 0 0 0 1 2 1 1 1 1 1 0 0 1 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 6 9 7 4 0 2 5 19 49 85 107 110 105 96 89 81 68 58 62 82 104 137 161 144 158 202 237 260 288 307 326 376 425 373 316 367
4 4 3 1 2 3 5 11 19 23 28 43 70 105 142 159 146 112 73 48 37 37 39 46 60 67 69 68 69 67 55 49 44 41 37 33 31 30 30 31 33 36 35 31 27 22 17 14 12 11 10 11 12 11 10 10 9 9 9 9 11 13 14 14 15 17 18 18 16 14 12 9 7 6 6 6 6 5 4 3 2 2 1 0 0 0 0 1 4 7 8 7 10 16 21 25 8 1 0 0 0 0 1 1 1 1 1 1 1 1 0 1 1 1 1 0 0 0 0 1 0 0 0 0 0 0 0 1 1 1 3 2 4 14 40 66 96 108 100 84 71 61 50 39 36 39 42 56 92 102 105 132 165 180 212 287 303 278 321 346 298 282
3 3 3 0 1 1 4 10 16 15 19 31 53 82 115 137 134 109 73 46 34 32 34 37 49 59 73 82 82 77 67 59 51 45 41 37 33 31 31 31 31 32 33 33 30 26 21 17 14 12 10 10 11 12 11 11 11 11 10 10 12 13 14 15 16 18 19 18 16 14 11 10 9 9 8 8 7 6 5 4 3 3 2 1 0 0 1 2 5 8 7 6 5 5 7 18 9 2 0 0 0 0 0 1 1 1 1 1 2 2 1 1 1 2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 1 2 3 8 19 31 31 37 57 59 51 44 38 30 22 16 12 9 11 32 55 63 70 94 119 134 187 243 214 213 255 284 281
2 3 3 1 0 0 2 4 7 10 13 20 38 71 104 131 133 110 72 44 30 27 28 30 35 48 60 71 80 81 79 73 66 56 49 41 37 35 32 32 31 32 35 36 32 27 23 19 16 13 11 11 12 12 13 13 13 12 11 11 12 13 14 15 16 17 18 18 18 16 14 13 12 11 11 10 9 7 6 5 5 4 4 3 2 1 2 3 4 5 5 5 5 3 1 2 2 0 0 0 0 0 0 0 1 1 1 1 2 3 3 2 2 1 2 2 1 1 0 0 0 2 5 6 2 0 0 0 0 0 0 2 10 28 37 33 18 17 18 18 18 18 14 12 7 2 1 2 8 21 37 46 63 102 121 113 151 173 190 213 223 229
1 1 2 1 1 2 2 3 2 3 2 4 12 32 37 73 104 106 69 42 28 23 24 26 28 32 37 45 53 60 62 61 60 59 54 47 41 38 36 35 35 35 36 36 33 29 25 20 17 14 12 12 13 14 15 15 14 13 13 12 13 14 15 16 17 18 18 17 18 17 15 14 12 12 11 10 9 8 7 7 6 5 5 5 4 4 4 4 3 2 3 3 4 4 3 2 1 0 0 0 0 0 0 0 1 1 1 1 2 5 6 4 2 1 2 2 3 4 2 1 1 2 4 4 3 2 1 0 0 0 0 0 6 20 31 35 29 19 13 9 8 6 3 3 2 0 0 0 2 8 20 32 43 62 80 76 93 111 121 138 147 149
1 1 1 2 4 6 8 6 4 2 1 1 6 22 36 57 74 71 51 33 22 18 17 20 23 26 27 30 35 43 44 41 39 44 46 50 52 44 44 42 40 38 37 37 36 33 28 21 18 15 14 15 17 15 16 17 16 15 14 14 14 15 16 17 18 19 19 18 18 17 15 14 13 12 11 11 11 9 8 8 7 6 6 5 5 5 5 5 3 2 2 2 5 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 2 1 2 3 5 5 4 3 3 4 5 6 4 2 1 0 0 0 0 0 1 5 11 16 21 22 20 13 6 2 0 0 0 0 0 0 0 1 5 14 23 35 46 45 57 65 54 54 73 94
0 0 0 2 6 10 14 13 10 5 2 4 20 37 49 56 54 42 29 18 13 12 10 12 15 16 17 19 23 28 31 31 29 31 33 37 44 49 50 51 48 40 40 41 41 38 34 27 23 20 17 16 16 15 16 17 18 17 16 16 16 17 18 19 20 22 22 22 21 19 17 14 13 11 11 12 11 10 9 9 8 8 7 6 6 5 5 5 4 2 1 2 5 6 5 3 1 0 0 0 0 0 0 0 0 1 1 1 1 1 2 3 1 1 2 5 6 6 6 6 6 5 6 6 4 1 1 0 0 0 0 0 0 0 1 1 4 9 14 11 5 1 0 0 0 0 0 0 0 0 0 3 7 14 21 16 18 30 26 23 37 60
1 1 1 3 7 12 17 19 18 12 6 13 36 50 64 71 57 47 29 15 6 4 6 6 7 8 10 11 14 17 21 23 23 23 26 29 30 31 35 42 49 45 49 47 44 40 35 30 26 23 20 18 16 17 17 18 20 19 18 17 17 18 20 21 22 23 26 27 25 21 18 15 13 11 10 10 10 10 9 9 9 8 7 7 6 5 5 5 4 3 2 3 5 6 6 3 2 0 0 0 0 0 0 0 0 1 1 1 0 0 0 1 0 0 1 3 5 6 6 6 6 7 7 6 5 2 1 0 0 0 0 0 0 0 0 0 0 1 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 2 6 6 5 10 24
0 0 1 3 8 13 18 22 23 19 16 28 40 44 52 61 49 43 32 18 4 1 3 4 5 5 7 7 9 11 14 17 19 21 24 25 24 24 25 28 34 43 52 52 48 42 37 34 31 28 24 20 19 20 22 23 23 22 21 20 19 19 21 23 23 25 30 31 29 24 20 16 13 11 10 9 9 9 9 8 8 7 7 6 5 5 4 4 3 2 2 3 5 6 6 4 2 1 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 1 3 4 5 6 6 6 7 7 7 6 5 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 3 4 2 1 3
0 0 1 3 7 12 18 22 25 24 19 19 23 24 27 35 44 50 42 23 5 1 0 0 1 3 4 5 5 6 9 9 8 9 16 23 21 21 21 21 24 31 41 53 64 56 44 38 34 29 26 23 21 21 23 25 25 24 23 23 22 22 24 25 26 28 32 33 31 26 23 18 14 12 10 9 9 9 9 8 7 7 6 5 5 4 4 3 2 1 2 3 5 6 5 4 2 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 1 1 2 2 5 5 5 5 6 8 8 7 5 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 0 0 0 3 5 3 1 3
0 0 1 2 5 10 17 23 27 27 22 16 9 9 21 38 55 64 55 30 10 2 0 0 0 0 1 1 1 1 2 1 1 2 9 17 17 17 17 18 19 24 32 44 54 52 48 43 36 32 30 28 25 24 25 26 26 26 26 26 26 26 27 28 29 32 34 34 33 28 24 20 15 13 11 10 9 9 8 8 7 6 5 4 4 4 4 3 1 1 2 4 5 6 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 3 4 4 4 4 6 7 7 6 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 1 0 0 3
0 0 1 2 4 9 16 22 26 27 24 21 18 20 32 53 72 80 71 43 18 5 0 0 0 0 0 0 0 0 0 0 0 0 1 1 5 8 10 11 8 14 25 36 46 48 48 43 37 36 35 33 31 29 29 29 29 29 31 32 32 31 30 30 30 31 33 35 36 32 27 22 17 14 12 10 9 9 8 7 7 6 5 3 3 3 3 2 1 1 2 3 4 4 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 2 3 3 4 6 7 6 5 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 1 5 10 15 20 25 28 27 25 25 28 41 78 97 97 80 52 27 9 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 4 6 7 10 15 22 28 28 30 34 35 36 38 38 35 34 33 33 33 33 37 39 38 36 34 32 32 33 35 37 39 37 32 26 20 15 12 10 9 8 7 6 4 3 3 3 2 2 1 1 1 1 1 2 2 2 2 2 1 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 5 6 6 6 5 3 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 1 6 10 15 21 27 34 33 32 31 34 48 102 131 128 109 71 38 15 3 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 6 9 13 18 23 26 30 32 33 32 34 37 39 38 36 35 35 36 38 42 44 43 39 35 34 33 35 37 39 41 39 35 31 21 14 10 7 6 5 4 3 2 2 2 2 2 1 1 1 0 0 0 0 0 1 1 2 1 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 5 5 7 8 6 4 2 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 0 0 0 0 0
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