Vorticity
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nan 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 12 12 12 12 12 12 12 12 12 12 12 11 10 10 10 10 10 9 8 8 10 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 11 11 11 11 11 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 11 13 14 14 15 15 14 14 15 16 16 16 15 13 12 10 9 9 9 8 8 9 9 9 10 10 9 9 9 7 4 -0 -3 -4 -3 -0 3 6 9 13 17 20 22 25 26 27 28 25 22 19 16 14 12 10 8 8 8 8 8 nan
nan 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 10 10 11 12 12 13 13 13 12 11 10 10 10 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 11 11 10 10 10 11 11 11 11 11 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 11 11 10 10 10 11 12 13 13 13 13 13 13 14 14 14 14 14 13 12 10 10 9 9 8 8 8 8 8 8 9 9 10 11 11 9 7 2 -2 -5 -5 -5 -3 0 4 8 11 14 17 21 24 26 26 26 25 23 21 19 17 15 14 14 13 13 nan
nan 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 11 10 9 9 9 10 11 12 12 12 12 11 10 10 10 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 11 10 10 10 11 12 12 11 11 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 12 12 12 12 13 13 14 14 13 12 11 10 10 9 9 9 9 8 8 8 8 10 11 12 13 13 13 11 7 3 0 -2 -3 -4 -4 -3 -2 1 3 5 9 13 18 22 25 27 28 28 28 28 27 26 25 24 23 nan
nan 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 9 9 8 9 9 9 10 11 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 9 9 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 11 11 10 10 11 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 13 13 13 12 11 11 10 10 10 10 9 9 9 10 10 11 12 13 13 13 13 12 10 8 7 6 4 3 -0 -2 -4 -4 -4 -2 -1 3 9 15 21 24 26 28 31 32 32 32 31 31 29 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
2 3 4 5 8 10 12 12 13 12 10 8 8 9 13 18 24 29 33 38 37 33 28 23 19 18 18 20 22 22 24 27 32 34 34 33 31 29 29 24 14 8 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 1 1 1 1 1 1 0 1 2 2 3 4 4 3 1 1 1 1 3 4 4 4 5 7 8 7 12 28 60 98 245 363 383 353 470 489 649 778 882 1004 1029 1090 1195 1165 999 1100 1081 1072 1068 1066 1072 1104 1093 1063 1056 1084 1135 1164 1151 1163 1159 1098 1054 988 892 837 841 842 837 825 821 821 821 832 868 920 991 1081 1193 1278 1302 1303 1318 1387 1505 1645 1678 1642 1581 1537 1527 1506
3 3 4 5 6 9 11 11 10 9 8 7 8 10 16 22 28 33 34 32 27 23 20 18 18 17 18 19 20 21 23 23 27 31 32 32 33 32 32 29 20 13 9 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 1 1 1 1 0 0 0 0 0 1 3 4 3 2 1 0 0 1 2 3 4 5 5 7 8 8 10 19 46 87 171 265 319 273 391 484 588 700 800 888 905 983 1148 1242 938 893 929 970 992 1002 1014 1023 1033 1029 1026 1045 1081 1094 1056 1041 1092 1062 971 903 833 761 707 683 670 665 673 697 735 764 798 840 894 965 1107 1209 1277 1330 1390 1484 1540 1571 1568 1533 1485 1473 1455 1404
2 2 3 4 6 9 10 9 8 7 7 8 10 14 20 26 29 30 24 20 18 17 16 16 17 17 16 17 18 19 19 19 21 26 29 31 33 31 29 27 22 17 10 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 1 2 2 0 0 0 0 0 1 2 3 3 2 1 0 0 0 1 2 3 4 4 6 7 9 9 10 15 35 73 123 178 242 280 340 430 528 602 749 863 948 1002 1044 1182 1017 755 710 816 890 930 947 934 922 935 962 1002 1031 1057 1059 1006 1007 1002 943 864 780 685 596 562 548 543 552 579 631 673 714 767 855 946 1068 1180 1271 1358 1423 1493 1525 1517 1477 1435 1421 1416 1392 1324
2 2 3 5 6 8 8 7 6 6 6 9 12 17 22 26 25 22 17 15 14 14 14 13 15 15 14 15 16 16 16 16 18 21 24 27 29 28 25 21 18 15 9 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 1 2 2 0 0 0 0 0 0 2 3 2 1 0 0 0 0 1 1 2 3 4 6 7 9 10 12 18 30 55 97 147 219 289 316 340 418 445 559 659 793 965 955 1020 1097 881 654 734 805 849 872 868 852 860 886 946 978 964 936 927 925 934 904 818 725 647 557 501 475 459 466 489 537 597 666 764 897 1018 1118 1198 1259 1367 1443 1490 1507 1488 1431 1392 1374 1372 1367 1280
3 4 5 6 6 6 7 6 6 6 8 11 14 17 20 22 20 17 14 12 11 12 12 12 13 13 13 14 15 16 15 15 15 17 19 20 21 21 19 16 12 10 7 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 1 2 1 1 0 0 0 0 1 2 2 1 0 0 0 0 0 1 1 2 3 4 6 7 8 9 16 27 39 57 92 141 215 294 323 295 326 378 471 498 536 841 1009 988 1043 1038 810 748 754 768 787 808 803 790 799 856 902 889 885 882 853 845 837 797 704 626 551 482 435 406 405 427 476 548 638 779 926 1048 1128 1190 1258 1366 1463 1523 1527 1491 1441 1398 1360 1329 1326 1241
3 4 5 6 6 6 6 6 6 7 8 11 14 16 18 19 16 14 12 11 10 11 11 11 11 12 12 14 14 14 15 14 14 14 15 15 15 15 15 14 11 10 8 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 1 1 0 0 0 0 0 0 1 1 1 0 0 0 1 1 1 1 2 3 4 6 7 8 11 21 38 57 76 106 145 206 274 314 293 300 353 477 555 441 569 984 1116 1044 1020 887 746 691 693 712 736 739 743 757 785 813 805 777 742 744 766 746 741 689 615 540 476 437 408 401 420 462 528 622 748 877 992 1082 1157 1254 1365 1468 1534 1528 1501 1468 1433 1389 1332 1277 1191
3 3 4 5 6 6 6 6 6 6 8 11 13 14 15 15 14 13 11 10 9 10 10 10 11 11 12 13 13 13 13 13 13 13 13 13 12 12 12 12 11 11 10 7 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 1 1 1 0 1 1 1 1 1 2 3 5 6 7 8 12 25 46 73 103 132 160 205 261 291 277 296 362 460 536 424 372 639 911 963 961 860 716 625 616 630 655 673 693 713 723 716 704 682 675 686 689 669 666 643 597 536 495 465 445 441 453 481 533 608 700 803 918 1008 1103 1208 1320 1449 1502 1523 1517 1498 1486 1438 1365 1266 1148
2 2 3 5 6 6 6 6 5 5 7 8 11 12 13 13 12 11 10 10 10 9 9 10 10 10 11 12 12 11 11 11 11 11 11 11 10 11 11 11 11 12 12 8 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 1 1 2 1 1 0 1 1 2 2 3 5 6 7 8 15 32 58 94 131 163 190 215 244 272 272 302 377 455 477 394 335 432 637 763 868 865 765 642 568 536 557 595 627 654 668 667 645 613 595 603 625 624 620 615 602 548 518 499 491 495 503 525 561 613 685 773 863 956 1056 1168 1280 1388 1464 1506 1519 1519 1506 1459 1378 1258 1111
2 2 3 4 4 5 5 4 4 4 5 8 11 12 12 11 10 9 9 9 9 8 8 9 9 9 9 9 9 10 9 10 10 9 9 9 9 9 10 10 10 11 13 10 6 4 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 1 2 1 1 1 0 0 1 2 4 5 6 6 7 11 23 49 87 124 161 193 214 223 238 268 289 317 375 433 443 386 345 389 540 705 795 810 774 685 567 508 499 521 549 585 606 610 596 569 542 549 556 563 576 586 587 558 538 533 534 554 564 582 609 648 725 811 890 965 1048 1161 1275 1374 1436 1461 1477 1493 1489 1452 1363 1226 1068
2 2 3 3 4 4 4 4 3 4 5 6 9 11 10 9 8 8 8 7 7 7 7 8 8 8 7 7 8 7 8 8 8 8 7 8 8 8 10 11 12 12 15 15 12 9 8 4 2 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 0 0 1 2 1 1 1 1 2 2 4 6 7 6 5 11 24 46 80 127 166 202 233 252 266 275 292 317 347 374 405 410 376 321 312 437 522 593 678 749 715 627 554 517 520 521 531 536 534 527 511 491 486 496 518 525 531 536 540 547 559 569 591 614 641 669 721 797 875 949 1018 1099 1198 1290 1362 1400 1408 1427 1450 1459 1429 1329 1175 1011
3 3 4 4 4 4 3 3 2 3 4 6 7 9 9 9 8 7 6 6 5 5 6 6 7 6 6 6 6 6 7 7 8 8 9 10 9 9 11 13 15 17 20 21 19 17 16 12 7 3 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 0 2 3 3 3 3 5 5 4 5 7 8 7 7 16 39 77 111 150 195 247 296 311 320 316 313 323 343 355 370 373 348 283 247 304 394 488 583 647 673 634 566 541 566 548 518 487 462 453 450 440 437 440 441 466 482 497 514 537 551 568 597 638 681 710 774 857 949 1035 1104 1186 1268 1338 1380 1379 1385 1401 1426 1442 1384 1265 1115 952
3 3 3 3 3 3 2 2 2 3 3 4 6 8 8 8 7 6 5 4 4 5 5 6 6 5 5 5 5 6 8 8 9 11 13 16 15 17 19 20 24 28 31 32 30 27 24 19 12 6 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 2 2 2 4 7 9 11 11 9 6 5 7 10 11 14 24 52 93 125 157 200 264 341 360 360 352 340 326 322 331 342 352 361 305 268 277 324 377 415 516 574 572 581 537 552 539 502 458 415 387 373 369 374 376 393 415 433 456 467 494 514 537 572 621 660 702 771 861 962 1069 1156 1244 1330 1397 1404 1393 1388 1392 1401 1397 1318 1192 1042 886
1 2 2 3 3 2 2 2 2 3 4 6 6 6 6 5 5 4 3 3 3 3 4 4 5 5 6 7 7 9 11 13 15 18 24 30 31 33 35 36 38 42 44 45 44 41 36 29 20 11 6 5 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 3 4 5 4 5 8 13 17 18 16 12 7 4 6 9 12 17 27 61 96 125 152 183 245 318 357 374 387 388 377 387 400 403 391 401 361 321 310 319 330 349 380 377 367 531 485 467 465 445 400 378 354 330 313 311 308 310 317 346 402 405 427 455 482 493 535 580 632 702 804 909 1020 1127 1231 1330 1398 1413 1410 1400 1392 1383 1335 1236 1106 960 821
1 1 2 2 2 2 1 1 2 3 5 6 5 5 4 3 3 2 1 1 1 1 2 3 4 5 7 9 12 15 20 24 28 33 41 47 48 47 49 50 49 50 52 53 54 51 44 35 26 14 8 6 5 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 8 8 9 11 14 19 25 26 21 14 5 2 3 7 11 16 26 55 86 117 144 150 175 220 263 302 358 402 435 465 491 531 506 476 416 340 278 270 270 276 271 245 216 319 368 386 402 378 361 355 339 307 276 263 252 241 236 253 305 326 338 350 377 393 427 470 518 573 680 797 917 1033 1146 1262 1346 1393 1410 1405 1390 1356 1282 1169 1029 885 772
1 1 2 2 2 1 1 1 1 2 3 4 3 3 2 2 2 1 1 0 0 1 2 2 3 6 10 15 22 30 38 43 46 51 52 53 51 47 46 46 47 49 51 53 54 51 43 33 25 16 9 6 4 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 3 5 8 10 13 15 19 28 36 39 36 30 20 8 2 1 5 11 15 26 44 66 89 123 126 129 141 162 204 285 367 437 485 509 549 554 535 475 347 225 190 180 179 182 176 165 197 251 310 356 325 310 318 329 288 261 247 234 216 196 201 221 239 248 232 250 275 305 343 386 439 538 662 790 903 1022 1142 1248 1333 1383 1386 1364 1316 1231 1094 954 829 736
1 1 2 1 1 1 1 1 1 1 1 2 1 1 1 1 1 0 0 0 0 2 3 5 8 12 20 31 41 50 54 54 51 52 49 44 42 41 38 38 39 41 44 46 43 40 35 30 25 19 12 6 4 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 11 15 18 23 25 30 35 38 39 36 25 13 4 1 3 10 14 21 32 46 53 72 91 110 131 137 180 256 335 397 431 439 448 467 500 532 413 292 203 146 117 115 118 121 131 153 214 258 251 233 232 287 254 232 227 234 223 191 166 157 165 187 173 168 177 197 233 267 316 391 497 625 749 875 1005 1138 1263 1329 1351 1323 1249 1158 1022 893 786 711
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 3 4 4 4 5 11 17 22 29 42 53 58 58 54 48 42 39 38 38 40 42 39 37 36 37 40 42 39 34 30 28 25 21 14 6 3 2 2 2 2 3 2 1 0 0 1 0 0 0 0 0 0 0 0 0 2 7 16 20 21 22 25 29 29 27 24 23 28 28 23 16 8 1 5 9 13 19 28 37 32 34 45 69 110 127 177 252 320 341 329 316 305 311 355 433 399 329 254 186 138 116 100 92 98 95 134 160 166 156 140 177 184 176 170 195 181 148 118 104 109 135 143 138 132 136 167 194 232 285 364 485 607 731 869 1034 1160 1247 1290 1269 1169 1052 930 822 741 688
1 1 1 1 1 1 1 1 1 1 1 1 2 3 4 8 14 19 20 17 14 21 33 42 49 56 65 68 63 53 42 37 34 33 32 33 36 42 42 40 39 39 36 37 36 33 29 26 23 20 14 7 4 3 2 2 3 5 5 4 3 2 1 0 0 0 0 0 1 1 3 8 16 27 34 36 35 34 33 32 29 26 20 12 13 15 15 12 7 5 7 11 15 22 37 38 25 10 6 12 45 75 123 192 276 290 282 272 251 222 252 278 273 263 249 219 185 156 126 94 91 89 97 108 116 107 101 110 120 124 116 121 103 83 68 65 78 99 116 124 124 130 144 161 183 223 290 381 483 593 718 877 1021 1140 1205 1190 1091 966 847 751 692 665
1 1 1 1 1 1 1 1 0 0 2 5 8 14 22 32 41 46 46 41 40 45 56 66 70 74 73 69 60 48 37 34 33 34 34 31 32 39 42 44 44 44 37 33 30 27 23 20 17 15 13 10 8 6 6 6 6 7 7 6 3 1 0 0 0 0 1 4 7 11 20 33 44 51 53 51 48 45 41 35 30 25 18 8 5 5 5 6 4 5 8 13 21 28 45 45 27 3 1 1 9 23 45 79 150 212 261 289 287 245 238 219 192 174 180 178 176 173 166 143 122 107 97 94 108 100 93 91 95 98 92 86 76 69 53 53 60 74 90 98 107 118 135 153 164 190 229 291 377 482 600 735 892 1043 1124 1098 1016 906 792 693 644 622
1 1 1 0 0 0 0 1 3 6 9 15 25 37 51 61 66 64 58 52 53 59 66 74 79 77 72 65 56 45 39 35 33 34 34 34 37 41 46 48 47 44 37 31 26 22 17 15 13 12 12 11 10 9 9 9 10 11 13 12 9 5 6 6 7 10 15 24 29 32 40 56 68 71 70 65 59 54 46 37 30 27 17 9 4 2 2 2 1 2 5 12 20 31 42 47 37 6 2 1 2 4 9 21 52 94 147 208 252 251 249 235 204 165 150 143 146 158 164 155 139 122 107 98 112 120 117 104 107 103 93 85 84 82 65 54 46 47 66 67 71 83 104 130 138 144 156 190 257 347 457 597 766 945 1023 1025 955 836 728 654 602 576
1 1 1 0 0 1 3 8 14 20 26 37 52 65 70 70 65 58 50 48 51 54 62 73 79 75 69 62 52 43 37 33 32 32 32 34 40 47 52 51 46 40 33 25 19 14 12 11 11 12 13 13 15 18 21 20 20 22 24 28 34 38 37 36 39 44 52 63 65 60 56 61 74 78 76 72 67 62 54 45 35 27 19 13 8 5 3 2 1 1 3 8 14 23 28 31 32 15 7 4 2 2 3 6 11 26 54 107 156 199 236 257 233 200 167 143 138 142 139 127 112 104 103 106 120 141 153 131 128 121 100 73 69 66 58 46 33 22 24 29 32 35 52 69 76 75 74 87 133 201 298 443 637 809 923 944 863 778 682 612 566 542
6 7 6 7 8 12 17 24 31 39 50 64 78 82 75 66 55 46 41 42 47 53 61 70 75 73 68 59 50 42 37 33 30 29 30 35 43 51 54 49 41 32 24 17 13 11 11 11 11 13 14 16 22 29 34 33 30 30 33 36 36 35 38 40 37 34 45 61 70 65 60 62 62 59 55 54 54 57 56 51 43 33 24 18 13 11 7 4 1 0 1 3 7 12 16 16 21 21 20 17 12 9 6 4 5 11 24 53 87 130 180 219 231 227 204 167 153 144 126 98 71 63 72 89 112 136 158 151 138 115 84 50 37 29 25 20 15 8 5 6 8 6 12 15 17 28 29 35 57 110 210 366 543 709 823 844 811 722 628 558 521 498
21 21 20 21 25 30 34 38 45 55 68 83 91 83 70 56 43 34 33 37 45 53 61 70 72 72 69 63 54 45 42 38 33 28 29 35 43 50 52 46 38 29 21 16 13 12 12 11 11 13 14 16 18 22 27 25 22 22 23 21 17 15 12 9 8 8 11 19 27 28 28 16 14 17 21 25 33 41 48 50 46 35 26 21 17 15 11 5 1 0 0 1 2 4 7 9 14 21 29 34 33 29 20 15 14 8 13 25 46 79 109 146 183 210 215 185 163 141 114 80 41 29 31 47 76 103 126 133 118 86 56 31 15 6 4 2 2 1 0 0 1 1 1 1 2 11 13 16 27 65 162 310 471 624 738 729 661 592 530 478 443 425
30 29 26 24 24 26 31 38 47 58 71 84 85 76 62 46 31 24 25 32 43 54 62 72 74 74 72 68 59 51 45 39 33 31 30 34 42 48 50 46 38 28 20 14 13 13 13 12 11 11 12 13 14 15 16 16 15 13 12 10 8 7 7 6 5 4 4 4 5 6 5 3 3 2 3 8 18 30 40 46 45 36 26 20 17 16 12 7 3 1 2 1 1 2 4 6 10 18 30 43 50 51 41 27 22 18 14 13 21 38 59 92 127 156 179 169 147 115 81 54 26 12 8 13 34 52 70 81 77 54 34 21 9 0 0 0 0 0 0 0 0 0 0 0 0 2 5 8 15 36 112 245 402 548 642 620 550 474 417 374 347 334
18 13 12 12 13 17 23 34 43 54 68 79 76 67 57 45 32 25 27 35 48 60 61 67 70 71 72 70 61 53 47 40 35 33 31 33 38 43 46 43 36 27 19 16 15 14 13 12 11 9 8 9 10 12 13 13 12 10 8 7 6 5 5 5 4 3 3 3 3 3 3 3 3 2 1 3 10 21 35 39 38 32 23 16 14 14 13 10 7 4 4 4 3 3 5 6 8 13 27 44 54 56 49 30 21 21 17 12 10 19 38 62 87 105 119 125 119 101 76 39 13 4 3 2 6 15 26 38 44 35 21 8 3 1 0 0 0 0 0 0 0 0 0 0 0 0 3 10 15 28 65 157 300 438 523 530 474 392 333 270 240 241
8 6 5 4 6 9 15 28 42 57 74 85 80 73 68 63 50 41 40 48 63 74 71 69 67 66 69 67 59 52 46 43 38 35 32 31 34 38 41 40 35 27 21 18 16 14 13 12 11 11 10 10 11 12 12 12 11 8 7 7 7 7 6 5 5 4 4 4 3 3 3 4 3 2 1 2 4 9 20 23 23 21 16 12 11 12 12 11 9 7 7 7 6 5 6 6 8 12 26 43 50 45 38 28 18 15 14 11 8 8 15 28 45 57 72 82 81 74 48 15 0 1 2 1 1 1 5 13 16 17 11 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 6 11 14 23 52 115 223 336 411 427 391 315 262 205 158 158
7 7 6 4 3 4 7 22 45 72 102 125 118 106 99 87 73 64 56 60 84 90 90 85 75 68 68 66 62 56 50 46 39 35 32 31 32 34 36 36 33 27 21 18 16 15 14 13 13 12 12 12 11 11 12 11 9 9 9 10 10 9 7 6 6 5 5 5 5 5 5 5 4 3 2 2 1 2 5 6 7 8 9 8 9 11 12 12 10 9 9 8 7 6 6 7 6 8 15 25 30 26 24 22 18 15 13 10 8 5 3 3 11 20 29 34 38 40 27 11 0 0 0 0 0 0 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 9 9 7 11 29 85 173 270 347 369 323 239 179 152 119 114
7 7 6 4 2 5 6 25 61 103 131 151 139 116 103 88 74 66 64 69 82 93 101 97 81 73 72 70 65 56 49 44 38 34 32 32 31 32 33 34 32 27 21 18 16 14 15 14 13 13 12 11 10 10 11 10 10 10 10 10 9 9 8 7 7 7 7 7 6 6 5 5 4 3 3 2 1 1 2 2 2 2 4 6 8 11 14 13 11 10 10 10 7 5 5 6 3 2 2 4 6 6 7 11 13 12 10 10 9 7 5 3 3 4 5 5 9 13 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 2 5 7 6 3 3 15 47 107 184 240 249 257 202 127 106 95 91
7 7 7 6 3 5 11 37 76 105 121 138 141 132 117 94 73 59 52 51 60 74 87 94 94 90 85 78 70 61 51 44 38 34 32 31 29 29 31 33 31 26 21 18 15 14 14 14 14 14 13 12 11 10 10 11 11 11 11 11 11 10 10 10 9 8 7 7 5 4 3 4 4 3 3 2 1 1 1 1 1 1 2 4 7 13 15 15 14 13 11 10 7 5 5 5 2 0 0 0 0 0 1 2 5 8 8 8 8 8 8 6 5 4 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 2 4 5 3 0 2 12 27 61 124 168 178 171 150 108 83 66 59
7 9 9 7 6 5 13 34 65 91 109 126 137 136 122 96 72 53 42 41 46 55 66 76 84 91 98 96 87 75 63 51 41 35 33 29 28 28 30 32 31 27 22 18 15 13 14 14 14 15 14 13 12 11 11 11 12 13 13 13 12 12 12 12 10 9 8 7 5 3 3 3 3 3 4 3 2 2 2 1 0 0 1 3 6 13 16 18 20 23 14 9 5 5 6 5 2 1 0 0 0 0 0 0 1 3 4 4 4 6 7 7 6 5 5 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 1 2 4 6 4 1 4 16 35 53 86 116 118 99 91 76 59 44 33
8 10 10 7 7 6 7 13 25 60 83 98 113 135 121 93 68 48 32 30 34 42 51 60 67 73 78 82 87 83 74 64 55 45 39 32 28 28 30 34 34 31 26 21 17 14 13 13 13 14 14 13 13 12 11 11 12 13 13 13 13 13 13 13 11 9 7 6 5 4 3 3 3 3 4 4 4 4 3 2 1 1 1 2 6 12 17 21 26 25 13 5 3 5 7 5 2 1 0 0 0 0 0 0 0 0 1 2 4 5 6 7 7 7 6 5 5 4 3 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 8 9 8 7 8 10 14 15 21 37 45 49 54 59 50 45 35 25 19 14
8 12 13 13 11 8 5 4 5 18 28 43 68 98 72 63 57 44 25 23 26 32 39 47 55 62 66 66 67 67 63 59 57 54 48 39 33 31 33 35 35 33 29 24 19 17 15 13 12 13 13 13 12 12 11 12 12 12 12 12 14 15 14 13 11 9 7 6 5 4 3 3 3 3 3 3 3 4 3 3 2 1 1 2 6 11 17 23 24 16 7 2 3 5 5 4 2 0 0 0 0 0 0 0 0 0 0 1 2 3 5 7 8 8 7 7 6 6 5 3 2 2 2 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 2 9 24 26 20 12 5 7 15 23 30 46 44 34 26 18 13 11 8 5 3 2
7 12 16 17 15 13 10 9 10 17 32 55 82 89 81 69 51 24 16 15 18 23 29 35 42 48 51 52 54 53 49 43 40 42 44 47 48 39 39 39 39 36 32 27 23 19 16 13 13 13 13 13 12 13 12 12 12 12 12 12 14 15 15 13 11 9 8 6 5 4 3 2 2 2 2 3 4 5 5 5 4 2 2 2 4 6 10 18 14 7 2 1 3 4 4 4 1 0 0 0 0 0 0 0 0 0 0 1 1 2 3 5 7 9 9 9 9 9 8 6 4 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 17 27 23 15 6 2 5 9 18 40 47 29 11 3 1 0 1 0 0 0
4 10 18 21 19 16 15 15 17 19 30 55 101 120 116 90 47 11 6 6 10 14 17 23 28 33 36 37 40 40 38 34 30 31 33 37 43 47 49 52 51 43 37 32 27 22 18 15 14 13 13 13 13 14 14 13 12 11 11 12 13 15 15 14 13 11 9 6 5 4 3 2 2 2 2 2 3 4 5 5 5 4 3 3 3 4 4 8 6 2 0 1 2 3 4 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 8 10 10 9 9 8 7 5 5 4 3 3 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 4 11 14 16 13 6 4 2 2 13 24 15 5 1 0 0 0 0 0 0
3 10 21 26 25 21 20 21 20 19 28 65 128 161 169 141 62 22 6 2 3 5 10 14 18 22 26 27 29 29 28 26 23 23 24 25 28 32 38 48 57 53 52 43 33 26 22 19 17 15 14 13 14 15 15 14 14 13 13 12 12 14 16 16 15 13 11 8 6 4 3 3 2 2 2 2 3 3 4 5 5 4 4 4 3 4 3 2 2 1 0 1 2 2 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 4 5 6 8 11 11 10 7 6 8 7 6 6 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 2 7 16 27 31 25 16 7 3 3 1 0 0 0 0 0 0 0 0
3 9 22 30 31 29 26 24 22 20 30 78 130 156 161 141 64 26 8 1 0 0 5 7 10 14 19 19 20 20 20 19 17 17 19 20 21 24 26 33 44 55 61 54 41 33 26 21 18 16 15 16 16 16 16 17 16 15 14 13 13 14 16 17 17 16 15 11 8 6 5 3 2 2 2 2 2 2 3 3 3 4 4 3 3 3 2 2 1 1 1 1 1 2 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 11 12 10 8 7 9 9 9 10 8 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 4 13 29 52 63 59 39 21 6 0 0 0 0 0 0 0 0 0
2 8 22 31 35 32 28 26 24 23 23 45 75 93 98 92 62 34 13 0 0 0 1 1 3 5 10 10 10 11 14 11 7 7 11 17 16 18 21 25 32 42 53 59 58 45 31 23 19 17 16 16 16 16 18 18 17 17 16 14 14 15 15 16 17 18 16 14 11 8 6 4 3 3 2 2 2 2 2 1 2 2 3 3 3 3 3 2 2 1 1 1 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 4 5 8 11 11 9 8 9 8 8 9 8 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 15 49 72 75 59 35 14 2 0 0 0 0 0 0 0 0
1 10 22 32 37 32 28 27 26 24 22 25 33 50 71 84 75 47 19 4 0 0 0 0 0 0 2 2 2 2 3 2 1 1 5 10 11 12 15 20 24 31 40 47 50 42 35 28 20 18 17 17 17 17 19 19 19 19 19 17 17 17 16 16 17 19 19 17 13 11 8 6 5 4 3 3 3 3 3 2 1 1 1 2 3 3 3 2 2 2 1 1 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 4 7 10 13 12 11 11 9 6 5 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 10 20 25 24 14 5 1 0 0 0 0 0 0 0 0
1 9 21 32 37 33 29 26 24 24 25 29 41 58 78 95 91 65 31 10 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 8 11 9 16 28 36 42 38 36 31 22 20 20 19 18 18 19 20 22 22 22 21 20 18 17 15 18 20 21 20 16 14 11 9 7 5 4 3 3 3 3 3 3 2 1 1 1 2 2 1 1 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 0 1 2 5 11 15 17 19 20 15 9 6 4 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 0 0 0 0 0 0 0 0 0 0
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