Vorticity
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nan 12 13 13 13 14 14 13 13 13 13 13 13 13 13 13 12 11 9 9 9 10 11 12 12 12 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 10 10 10 10 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 9 9 10 11 12 13 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 13 13 12 13 13 13 13 13 13 12 12 13 13 13 13 13 12 12 11 11 11 12 11 11 11 11 11 11 12 13 14 14 13 12 10 8 6 5 4 2 0 -2 -4 -5 -5 -4 -4 -2 1 5 12 18 22 25 28 33 35 35 35 36 35 34 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 1 2 3 5 5 6 6 7 7 7 6 6 6 6 6 6 6 8 11 13 15 18 18 17 15 14 13 13 14 15 16 17 18 20 22 23 24 23 18 10 4 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 1 2 3 4 4 3 2 2 2 3 8 4 5 4 3 4 4 4 4 4 3 4 4 4 4 11 40 120 227 330 415 482 514 430 359 309 300 371 592 811 927 954 940 926 887 883 881 855 817 793 760 728 694 667 660 653 610 570 545 546 565 593 619 683 757 810 860 938 1026 1126 1244 1369 1474 1574 1659 1716 1744 1751 1766 1764 1731 1654 1509 1461 1418
0 0 1 2 4 5 4 5 6 7 7 6 6 5 5 5 5 5 6 7 9 11 13 14 15 14 13 12 12 12 13 15 17 18 18 19 19 20 23 25 20 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 0 0 0 0 1 1 1 2 3 5 3 2 1 1 1 5 6 5 3 3 4 5 5 5 5 4 4 4 4 4 6 10 70 152 249 336 402 517 552 505 452 458 493 666 825 910 916 883 875 861 835 811 796 776 761 724 690 656 625 623 627 592 544 509 502 516 548 591 659 756 843 897 971 1061 1166 1292 1419 1509 1588 1655 1706 1715 1707 1699 1683 1640 1554 1434 1362 1316
0 0 1 2 3 4 4 5 6 6 6 5 5 5 5 4 4 5 5 6 8 9 10 12 12 12 12 12 12 12 13 15 16 18 18 18 18 18 19 21 20 13 7 3 1 2 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 1 3 6 6 4 1 0 0 1 3 4 4 3 4 5 6 6 5 6 5 5 5 5 4 5 9 37 88 170 277 338 455 565 574 513 550 621 738 842 892 859 789 753 758 763 739 718 712 729 705 648 605 588 587 596 581 541 517 520 504 512 555 629 738 845 920 985 1062 1165 1279 1387 1483 1564 1629 1665 1665 1646 1623 1588 1524 1449 1373 1313 1262
0 1 2 3 4 5 5 6 5 5 5 4 4 4 3 3 2 3 4 5 7 8 9 11 11 12 12 12 11 12 13 13 15 16 16 17 18 18 18 19 19 12 8 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 0 1 4 7 5 3 0 0 0 0 1 2 3 4 5 6 7 7 6 5 5 5 6 6 5 5 7 17 43 101 197 285 389 502 560 513 564 685 802 880 917 845 725 647 630 649 642 636 638 657 652 595 559 561 557 552 542 514 509 521 508 497 534 626 743 838 914 983 1066 1160 1255 1348 1437 1514 1567 1586 1580 1559 1528 1479 1423 1369 1326 1296 1248
2 1 3 5 5 6 6 5 4 4 4 3 3 3 3 3 3 3 4 5 7 8 9 10 11 11 11 11 11 11 13 14 14 15 16 17 17 16 15 16 17 13 8 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 0 0 2 5 6 5 2 0 0 0 1 1 2 3 6 8 8 8 8 6 6 5 5 6 5 5 6 6 8 19 56 127 221 327 417 478 505 537 654 803 879 891 833 701 603 600 598 569 568 572 576 574 553 539 526 508 485 465 445 461 474 470 463 512 604 708 811 905 977 1059 1139 1222 1308 1389 1450 1490 1510 1508 1473 1428 1377 1323 1279 1270 1276 1238
2 2 3 4 5 6 5 4 4 3 3 2 3 3 3 3 3 3 4 5 7 8 9 9 10 10 10 10 12 13 14 15 15 15 15 15 15 14 13 13 15 14 11 8 4 1 0 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 1 4 4 5 4 2 0 0 0 1 2 2 3 7 11 11 8 7 6 6 5 5 6 6 5 5 5 6 11 36 84 167 266 344 409 461 469 524 698 812 855 858 760 624 563 590 552 527 521 515 506 490 479 460 432 403 388 376 385 404 417 412 472 568 681 798 902 987 1076 1160 1229 1285 1345 1391 1421 1429 1412 1362 1328 1298 1272 1253 1232 1223 1203
3 3 3 4 5 5 4 4 3 3 3 3 3 3 3 3 3 3 4 5 6 6 7 8 9 9 10 11 12 13 14 16 17 17 17 15 14 13 12 11 12 13 14 13 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 0 0 0 0 1 3 4 3 3 1 0 1 1 1 2 3 4 6 9 10 7 5 5 5 5 5 5 4 5 5 5 6 10 23 61 128 205 274 340 395 421 433 537 687 794 818 811 759 528 508 508 492 484 478 466 446 424 402 379 356 345 335 330 333 373 391 445 539 660 781 889 989 1085 1173 1241 1272 1312 1349 1371 1363 1327 1290 1257 1234 1225 1207 1194 1180 1163
3 3 4 5 4 4 4 3 3 4 4 4 4 4 3 3 4 3 4 5 5 4 5 6 7 8 9 10 10 11 13 17 19 19 19 17 15 15 15 15 16 18 19 19 12 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 2 3 3 2 2 1 0 0 0 0 1 2 5 6 6 4 4 4 5 5 5 6 5 5 5 6 5 5 9 16 38 86 147 218 288 350 404 438 453 545 590 582 644 798 609 463 437 434 444 449 445 431 410 392 377 361 349 335 321 309 349 394 447 524 651 763 861 954 1058 1166 1220 1259 1290 1310 1297 1275 1244 1210 1190 1174 1178 1178 1174 1155 1120
2 3 3 4 3 3 3 3 4 5 5 5 5 5 4 3 3 3 3 4 4 3 4 5 6 7 8 9 8 8 10 13 18 21 21 21 23 24 26 29 30 30 30 29 21 10 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 3 3 2 1 1 1 0 0 2 6 8 8 6 3 3 3 4 5 5 6 6 6 5 5 5 5 7 14 27 58 100 173 252 315 368 448 457 460 462 424 385 553 578 472 403 400 413 430 443 440 417 405 392 381 375 370 357 346 364 404 453 527 632 727 810 889 1011 1124 1200 1241 1260 1272 1263 1234 1174 1122 1139 1155 1167 1170 1162 1128 1082
2 3 3 3 4 4 4 4 5 4 5 5 5 5 3 3 3 3 3 3 2 2 3 3 4 5 6 6 7 7 8 11 15 21 27 30 37 42 46 50 52 49 48 42 31 18 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 1 1 2 3 2 2 1 1 1 1 2 6 10 12 10 7 4 3 3 3 4 5 5 5 5 5 5 5 4 5 10 23 48 84 144 222 284 315 373 409 405 382 380 362 429 496 492 431 418 418 422 428 433 416 404 398 396 394 400 391 386 396 419 459 524 604 686 762 836 946 1046 1119 1166 1203 1212 1193 1144 1079 1036 1080 1127 1153 1149 1155 1114 1076
3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 2 2 2 1 1 1 1 1 2 2 3 4 4 5 7 10 13 19 28 38 45 53 61 68 70 70 64 57 48 38 27 15 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 1 1 2 3 3 3 3 5 7 10 12 13 10 7 4 2 2 3 4 4 4 4 4 4 4 4 4 5 9 19 43 78 126 188 246 284 327 367 390 352 364 391 434 477 490 462 449 445 437 407 407 403 398 399 409 406 407 406 409 424 442 474 521 583 651 717 792 877 959 1025 1069 1106 1119 1110 1077 1006 988 1022 1087 1148 1129 1141 1134 1105
4 3 4 4 4 4 4 4 3 3 3 3 2 2 2 1 1 1 0 1 0 0 0 1 1 2 5 7 9 15 17 23 32 43 56 65 70 77 80 78 75 68 58 49 40 32 22 15 8 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 1 2 3 4 6 8 11 12 12 12 11 9 6 4 2 1 2 3 3 3 4 4 3 3 4 6 9 12 24 44 71 110 159 212 255 285 311 375 373 386 420 460 466 447 428 420 430 468 432 409 398 393 396 406 405 403 404 406 428 446 474 518 573 620 677 743 810 870 925 965 1000 1028 1043 1019 969 951 986 1068 1118 1129 1142 1140 1117
4 4 4 4 4 3 3 3 3 3 3 4 2 1 2 4 6 9 8 8 8 8 7 5 9 16 23 28 33 38 41 48 59 70 78 79 73 69 70 69 68 61 54 48 41 33 25 17 10 5 2 1 1 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 1 2 4 7 11 12 13 13 11 9 8 7 5 2 2 2 2 3 3 3 4 3 3 3 6 13 20 28 40 52 64 101 139 179 219 259 277 349 397 417 416 418 405 377 350 328 326 392 413 402 390 386 390 396 400 401 400 399 410 425 450 497 540 585 636 693 751 796 843 885 930 988 992 963 937 939 984 1074 1123 1144 1145 1134 1104
4 4 4 4 3 2 2 2 1 2 3 2 2 6 11 17 21 24 24 23 22 23 28 39 48 54 60 64 68 70 70 71 78 87 87 71 51 40 40 44 51 51 48 45 42 35 27 19 12 8 4 2 1 1 0 1 1 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 6 12 15 15 12 9 6 5 6 7 4 0 1 1 2 2 3 4 4 4 3 4 8 25 38 48 55 64 68 94 127 160 187 243 278 329 377 407 374 336 311 302 301 263 243 265 301 331 339 354 367 373 374 383 386 388 393 402 419 466 507 548 591 642 700 753 801 841 877 926 931 925 927 950 1004 1069 1100 1109 1114 1099 1061
4 3 3 2 2 1 1 0 0 1 2 6 15 24 30 29 27 23 20 17 17 21 29 50 67 76 78 78 76 72 65 59 54 49 38 29 26 26 29 31 39 46 48 49 47 39 31 23 16 10 7 4 2 2 1 2 2 2 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 11 16 17 14 7 3 3 3 3 2 1 0 0 0 1 1 2 3 5 5 4 5 9 25 48 68 77 85 87 98 123 159 162 212 265 306 328 369 346 316 298 298 308 271 232 202 203 244 269 298 324 340 341 348 354 358 362 366 384 415 455 499 538 591 652 714 767 800 837 877 897 907 923 962 1026 1082 1101 1081 1073 1048 1011
2 2 1 1 1 0 0 0 0 3 11 24 32 35 31 22 17 12 8 6 7 10 19 34 50 61 63 60 53 44 35 29 26 25 21 19 21 26 31 31 38 48 54 54 48 40 33 26 21 16 11 7 4 3 2 2 4 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 7 10 13 14 10 4 3 3 2 1 0 0 0 0 0 0 1 2 3 4 5 5 6 8 16 38 76 87 97 104 110 114 146 154 181 225 275 278 313 331 334 331 351 354 327 293 264 222 230 236 250 273 297 315 325 327 321 319 314 322 343 378 428 471 526 590 654 711 745 789 834 871 892 916 960 1022 1076 1088 1066 1035 996 956
1 1 0 0 0 0 0 1 6 18 35 38 32 22 14 10 8 6 5 4 4 8 17 31 45 52 45 40 34 27 22 19 21 20 20 22 26 31 36 39 43 49 54 49 43 37 32 27 23 18 13 9 6 5 5 5 6 6 4 3 2 1 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 4 6 8 9 9 7 5 2 2 2 2 0 0 0 0 0 0 0 1 2 2 3 4 5 6 6 9 18 45 67 88 106 114 108 120 128 138 155 208 226 255 293 334 351 384 390 377 361 368 331 290 256 238 252 266 281 297 307 289 276 265 260 266 286 332 380 438 504 563 620 671 720 769 819 853 887 932 987 1038 1048 1030 990 940 897
0 0 0 0 1 5 16 32 50 63 56 42 28 19 14 12 10 9 8 7 6 10 20 33 44 48 45 40 35 29 23 26 24 20 18 18 22 32 41 47 50 51 47 42 38 36 32 28 25 22 18 16 12 9 9 9 10 11 11 10 8 7 6 6 5 4 4 4 3 3 2 1 1 0 0 1 2 4 7 10 11 11 9 7 4 3 1 1 0 0 0 0 0 0 0 0 0 0 1 3 4 4 5 4 2 9 22 39 62 93 103 103 105 108 111 108 145 185 214 228 285 319 351 379 405 409 400 369 325 275 230 232 244 251 250 273 258 242 221 201 195 209 239 279 330 398 452 512 575 637 692 755 810 852 892 946 989 1008 994 948 893 846
2 3 4 6 10 21 44 72 90 77 55 39 29 24 23 22 17 14 14 14 15 19 26 36 46 53 55 52 45 37 34 31 25 20 16 13 17 27 36 45 52 50 43 38 36 35 32 30 27 24 22 20 17 15 14 14 16 18 18 17 15 14 13 13 14 13 10 8 8 12 13 11 8 3 1 1 3 5 9 13 14 13 10 6 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 4 4 2 4 7 15 31 65 81 90 95 95 99 97 117 156 201 185 219 253 282 309 354 363 351 322 279 219 175 181 219 239 205 217 216 204 182 155 147 151 168 194 225 275 337 405 475 540 604 671 736 794 839 894 945 975 961 907 861 820
9 9 9 9 12 26 50 80 105 75 52 41 39 40 39 33 24 18 16 19 24 28 34 41 53 62 63 59 52 44 41 34 26 19 15 14 19 27 36 43 49 43 37 34 33 33 29 28 26 24 21 19 16 15 16 18 20 19 18 15 14 13 13 12 11 10 9 9 9 17 28 36 28 15 7 5 8 10 12 16 18 17 10 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 5 4 3 2 3 4 12 35 59 78 85 84 91 97 106 121 179 187 194 203 214 222 251 271 275 255 222 155 102 84 107 154 159 172 181 176 157 134 118 111 113 125 149 186 237 303 375 434 491 562 640 709 768 837 898 923 892 833 798 779
11 8 7 5 5 10 27 58 87 70 58 55 57 57 48 37 25 18 16 22 33 41 46 53 61 66 65 60 52 45 43 41 36 26 20 18 22 32 42 47 44 37 31 29 28 29 24 23 23 22 20 18 16 15 16 18 19 16 13 11 10 8 7 6 6 5 5 7 8 11 17 20 24 17 10 10 11 14 20 23 22 17 10 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 6 5 5 7 8 6 9 17 37 67 75 78 85 95 106 111 147 174 187 180 182 183 185 194 213 210 192 148 87 29 44 83 110 134 157 151 136 118 101 87 80 84 94 117 160 224 286 344 412 489 558 639 733 816 857 843 798 742 711 707
7 5 4 3 2 3 13 42 63 70 71 70 71 66 52 38 25 17 18 27 38 48 56 61 63 67 69 65 55 44 38 36 33 28 24 23 25 32 41 45 41 36 31 28 25 22 21 20 20 19 18 16 15 14 15 17 17 15 13 12 12 10 8 6 5 4 4 5 7 8 8 7 7 6 5 5 6 13 19 20 16 10 6 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 8 11 14 15 14 12 11 10 15 45 60 70 79 89 106 105 110 140 179 171 178 186 180 162 170 180 172 143 99 53 68 88 98 103 125 122 111 100 88 75 64 57 61 84 121 163 209 270 345 423 512 602 666 680 677 749 742 699 673 657
6 5 4 3 3 2 5 26 52 78 94 98 87 72 54 37 22 12 13 26 40 50 57 64 64 70 75 72 59 45 39 35 29 24 24 24 26 29 35 39 40 37 31 27 23 20 18 19 18 17 17 16 16 15 16 16 17 17 16 15 15 14 12 9 7 4 3 3 4 4 5 5 5 5 5 4 4 6 7 7 6 4 3 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 14 20 21 18 14 13 13 10 25 44 60 72 84 93 90 84 91 135 152 176 198 202 173 168 174 170 146 120 105 100 97 92 81 90 98 98 86 74 63 57 57 62 72 95 129 178 239 314 408 494 566 627 648 705 759 743 686 679 632
7 5 3 2 2 4 5 18 43 76 107 118 100 78 56 36 19 10 14 26 40 51 58 68 71 75 78 74 60 49 41 33 26 23 22 21 23 27 32 38 41 38 29 25 21 18 17 18 18 18 17 17 16 14 15 16 16 16 15 14 13 12 10 8 6 4 3 2 1 1 3 4 4 5 6 6 6 6 5 4 4 3 2 2 2 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 2 7 15 24 26 21 17 16 19 20 22 33 48 59 70 79 93 95 65 82 110 137 162 194 189 177 177 187 168 151 138 119 97 78 65 64 71 77 68 61 54 49 47 47 59 83 115 155 211 310 405 487 571 641 700 746 722 634 596 627 616
7 5 2 0 1 3 6 14 31 61 96 116 111 92 68 45 25 20 24 32 42 50 54 63 70 75 80 77 64 53 43 32 24 20 17 17 19 22 29 37 41 38 32 24 19 16 16 16 17 17 17 16 15 13 12 13 14 13 12 11 10 10 9 6 5 4 3 3 3 3 3 4 4 5 5 6 8 9 9 6 5 4 3 2 2 2 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 1 6 14 24 31 31 24 20 21 25 25 25 32 39 47 53 54 45 35 38 55 85 116 147 163 160 152 172 163 145 125 104 80 59 47 42 41 43 43 47 46 38 36 42 56 81 123 197 300 368 422 496 577 633 681 686 627 535 523 542 549
8 7 6 4 2 2 4 10 24 47 82 115 131 122 102 83 55 35 27 31 46 55 58 63 68 73 80 80 69 55 42 32 23 19 16 15 17 19 24 32 38 38 32 24 18 16 15 15 15 16 15 14 12 11 11 12 12 12 12 12 11 10 8 7 5 5 5 5 5 5 5 5 5 5 5 6 7 9 10 8 6 4 3 2 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 4 11 21 33 41 36 27 20 17 17 18 18 18 20 23 21 16 16 16 20 40 47 55 81 106 102 110 110 100 81 63 46 36 30 26 23 21 21 26 30 25 27 36 55 87 137 200 247 303 385 457 529 594 629 600 564 510 490 508 504
8 7 7 5 3 1 2 11 25 46 84 144 192 204 177 132 90 63 42 38 55 62 67 70 71 73 77 77 71 61 47 35 27 22 18 16 17 17 21 27 33 36 32 25 19 16 14 13 13 13 12 11 10 11 11 12 12 13 13 14 13 11 9 8 7 7 7 7 8 8 8 7 6 5 5 5 6 8 7 6 5 3 2 1 1 2 2 1 0 1 1 1 0 0 0 0 0 0 0 0 1 2 5 7 13 23 36 41 37 28 20 17 16 12 7 5 4 4 4 10 13 11 18 31 31 29 48 58 60 58 53 47 38 28 22 19 15 13 10 9 10 12 10 13 22 39 66 99 143 208 280 327 375 436 487 505 508 498 462 435 457 459
7 8 9 8 6 3 3 13 31 55 86 144 188 205 192 153 103 71 56 52 55 58 64 69 69 72 75 75 71 62 50 40 33 27 22 17 16 17 19 23 28 32 30 25 20 16 13 13 13 13 12 11 11 11 11 12 13 13 13 12 13 12 11 10 9 8 8 9 8 8 8 7 6 5 5 5 6 6 6 5 3 2 1 1 1 2 1 2 2 1 1 1 0 0 0 0 0 0 0 0 0 1 3 5 8 12 23 38 43 38 29 23 19 13 5 1 0 0 0 1 3 3 3 8 12 9 17 29 35 34 31 28 24 20 17 15 9 6 5 3 3 3 1 2 5 11 20 39 71 117 169 227 288 339 367 382 397 399 381 358 372 376
7 9 10 9 8 4 6 17 33 45 61 99 143 181 202 176 121 79 55 44 40 42 48 58 70 75 78 78 75 65 55 46 38 32 27 21 19 18 19 21 24 27 26 23 20 16 14 13 13 13 13 12 11 11 11 11 12 13 13 12 13 14 14 13 11 10 9 9 8 7 6 6 5 5 6 6 6 6 6 4 2 1 0 0 1 2 1 2 2 2 2 1 0 0 0 0 0 0 0 0 0 1 2 4 5 6 14 29 41 42 38 31 23 15 7 2 0 0 0 0 0 0 0 0 0 1 2 11 23 27 23 23 21 19 18 15 10 6 4 3 1 1 1 0 0 1 4 18 45 86 147 213 267 293 294 259 274 311 305 279 285 303
9 11 13 13 10 6 7 13 24 27 41 66 106 162 228 191 138 90 56 37 32 31 34 44 58 71 83 91 91 77 67 57 48 39 32 26 22 19 19 21 23 24 24 22 19 17 15 13 13 13 13 12 11 11 11 11 12 13 14 14 14 14 14 14 12 11 10 9 8 7 6 6 5 6 7 7 7 7 6 4 2 1 0 0 0 1 2 3 3 3 2 1 1 0 0 0 0 0 0 0 0 1 2 3 4 4 10 21 35 43 42 34 23 14 8 2 0 0 0 0 0 0 0 0 0 0 1 5 17 25 25 23 22 21 19 17 12 6 3 2 0 0 1 1 0 0 2 8 31 80 150 222 276 299 303 286 264 256 259 245 244 265
11 14 16 14 11 8 5 6 9 15 25 42 75 133 191 174 139 99 56 35 28 26 28 32 38 48 59 72 85 85 81 74 66 54 43 33 26 23 23 25 26 26 25 23 19 16 14 13 13 13 12 12 12 12 12 12 13 14 15 15 14 13 14 15 13 11 9 7 7 7 6 6 6 7 7 7 7 7 6 5 4 2 1 1 1 2 3 3 3 2 1 1 1 0 0 0 0 0 0 0 0 0 1 2 3 2 5 12 23 33 35 29 18 10 6 3 2 1 0 0 0 0 0 0 0 0 0 2 7 12 13 12 14 16 15 13 9 3 1 0 0 0 1 1 0 0 0 2 8 45 104 171 230 265 283 282 264 211 200 199 189 196
11 15 16 14 12 9 7 4 3 5 7 15 32 67 69 92 109 97 54 35 27 24 23 24 28 35 45 54 61 67 67 68 68 63 54 43 35 31 28 28 28 28 27 25 20 17 15 13 12 11 11 11 12 11 12 12 13 13 15 17 17 16 15 14 13 11 8 7 7 6 6 6 6 6 6 6 6 7 6 5 4 4 3 3 2 3 3 3 2 2 2 2 2 1 1 0 0 0 0 0 0 0 1 2 2 2 2 4 11 20 23 19 10 5 6 8 7 4 2 0 0 0 0 0 0 0 0 0 1 1 2 2 3 5 6 4 1 0 0 0 0 0 0 0 0 0 0 0 3 17 46 86 136 171 193 251 282 240 187 163 139 117
9 13 14 14 13 11 9 6 5 4 5 11 27 46 63 80 84 61 39 28 23 21 19 20 22 25 29 35 41 48 51 51 50 52 51 51 48 36 35 34 33 31 30 27 22 19 15 13 12 11 11 11 12 12 13 13 14 14 14 16 17 17 15 12 11 11 9 7 6 6 5 5 5 5 6 6 5 6 6 5 5 4 4 4 3 3 4 3 2 2 2 3 3 2 2 1 0 0 0 0 0 0 0 1 1 1 0 0 5 10 12 9 6 5 8 12 11 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 4 9 20 34 60 94 133 178 216 212 161 129 115 94
5 10 13 14 14 12 11 10 9 6 4 8 34 59 77 81 67 35 22 14 12 14 11 13 16 18 20 22 25 31 36 38 38 38 39 41 42 45 45 46 44 38 36 32 27 21 17 15 15 13 12 12 13 13 14 14 14 15 14 16 18 17 15 12 11 12 12 10 8 7 5 5 5 5 5 5 5 6 6 6 5 5 5 4 4 4 4 3 2 2 2 3 2 2 2 1 0 0 0 0 0 0 1 1 1 0 0 0 1 3 3 2 2 4 7 9 7 4 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 1 3 7 12 18 27 40 50 69 88 100 79 58 51 52
3 7 11 14 15 16 16 15 13 10 9 19 43 65 89 101 77 50 26 10 3 5 6 7 9 10 12 13 16 20 24 26 25 26 28 30 31 32 36 42 46 45 48 43 35 27 20 18 16 15 15 14 14 15 15 15 16 18 19 20 20 18 16 14 14 15 15 14 12 9 6 6 5 5 4 4 4 4 5 5 5 4 4 4 4 4 4 3 2 1 1 2 3 3 2 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 1 2 3 7 5 2 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 1 2 4 6 8 10 13 15 17 19 26 20 13 14 17
2 4 8 12 16 19 20 20 16 12 12 23 39 53 73 90 69 53 34 15 0 0 2 4 5 6 9 10 10 12 15 17 17 19 21 23 23 24 26 29 33 43 51 49 41 33 25 20 17 17 16 16 16 16 16 18 18 19 20 21 22 20 18 17 18 19 19 18 15 11 8 7 6 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 2 1 1 2 2 3 2 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 3 4 6 11 9 6 3 0 0 0 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 1 1 1 2 4 5 8 8 5 7 11
3 4 7 12 17 20 19 21 20 15 11 14 24 31 41 57 64 64 47 21 3 1 0 0 1 3 6 6 5 6 9 9 7 8 13 19 18 19 21 22 25 32 39 48 55 44 30 22 19 18 18 17 17 17 17 18 19 21 23 25 23 22 20 19 19 22 22 20 17 13 10 8 6 5 4 3 3 4 4 3 3 4 4 3 3 3 3 2 1 1 1 2 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 8 10 12 11 4 2 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 1 1 2 3 1 2 5
2 4 7 12 17 22 25 24 21 17 11 8 8 16 32 54 72 77 63 31 10 2 0 0 0 0 1 1 1 1 2 1 1 3 7 13 13 14 16 18 20 25 31 37 43 37 32 26 21 19 19 19 18 18 19 20 21 22 25 27 26 25 23 22 20 22 23 23 20 15 12 9 7 6 5 4 4 4 4 3 3 3 3 2 2 2 2 1 0 0 1 2 4 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 5 8 12 14 11 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
1 3 6 10 16 23 27 27 24 20 16 13 15 23 40 66 86 92 79 46 19 5 0 0 0 0 0 0 0 0 0 0 0 0 1 1 4 7 9 11 8 14 25 31 36 35 34 30 22 20 20 20 20 19 19 20 21 22 25 27 28 27 26 23 22 24 27 28 24 19 15 11 9 7 6 5 5 4 4 3 2 2 2 2 1 1 0 0 0 0 1 2 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 6 12 12 14 15 13 6 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 0 0 0 0
1 3 5 8 16 24 28 30 29 27 24 22 23 31 50 88 108 108 93 65 30 8 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 4 6 6 8 11 16 21 20 20 22 20 17 18 19 18 17 17 18 19 21 24 26 27 26 24 22 23 26 30 34 29 24 19 15 11 9 8 7 6 5 4 3 2 1 1 1 1 0 0 0 0 0 0 1 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 5 9 11 13 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
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