Vorticity
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nan 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 9 9 8 8 9 10 11 11 10 8 8 9 10 11 10 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 10 10 9 9 9 10 10 11 11 11 11 12 12 12 13 13 12 12 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 9 9 10 11 12 12 13 13 13 13 12 12 12 12 12 12 12 11 10 9 9 9 9 9 9 9 10 10 10 11 12 12 12 11 10 9 8 6 6 7 8 9 11 13 15 16 17 17 17 18 17 15 14 13 12 11 10 10 11 11 11 9 nan
nan 10 10 10 10 11 11 11 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 11 10 9 8 8 8 9 10 11 11 11 10 10 10 9 9 9 10 10 10 10 10 10 10 11 11 11 11 12 11 11 10 10 10 10 10 10 11 11 11 10 10 9 9 10 10 10 11 11 11 11 11 12 12 13 13 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 10 10 10 11 11 12 13 13 12 12 12 12 12 12 12 12 11 11 10 10 9 9 9 9 9 8 8 9 10 12 14 15 15 14 11 8 4 0 -1 -0 2 4 8 10 12 13 15 16 18 18 18 18 17 16 15 14 14 13 13 13 13 12 nan
nan 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 11 11 10 9 8 7 7 8 9 10 11 11 11 10 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 12 12 11 11 10 10 10 10 10 10 11 11 11 10 10 9 9 10 10 11 11 11 10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 11 12 12 12 12 12 11 11 11 12 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 10 13 15 16 17 16 14 11 8 3 1 -0 0 1 2 3 5 6 7 9 11 13 15 17 17 18 18 17 18 19 19 19 19 18 17 nan
nan 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 10 10 10 10 11 11 11 11 10 9 7 7 7 8 9 10 11 10 10 10 9 9 8 8 9 9 10 10 10 10 10 10 11 11 11 12 12 11 11 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 11 11 10 10 10 11 11 11 11 11 11 12 12 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 13 13 13 13 13 13 12 12 12 12 12 12 12 11 11 10 10 10 10 10 10 10 11 12 14 17 18 18 16 14 12 10 9 8 7 7 7 6 4 3 1 1 2 3 5 7 11 14 16 17 17 17 19 20 20 20 21 21 20 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
12 13 12 12 12 13 15 16 18 20 26 34 43 52 59 60 58 56 56 57 56 47 36 29 25 26 27 27 27 27 28 28 27 24 20 17 16 15 14 12 10 8 6 5 4 3 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 1 5 12 20 28 46 67 88 104 117 136 152 161 166 167 165 162 178 261 375 491 585 633 663 744 854 999 1189 1209 1197 1189 1190 1186 1141 1029 922 865 864 951 1183 1334 1396 1361 1275 1240 1118 1056 1057 1088 1104 1078 1065 1034 981 913 845 796 750 706 681 681 686 668 642 622 607 590 572 558 529 483 440 419 439 505 622 775 950 1099 1191 1210 1199 1195 1225 1265 1382 1554 1722 1888 1954 1951
9 8 7 8 10 11 12 14 15 20 29 42 54 64 67 64 60 55 55 54 50 42 32 26 26 24 24 24 25 25 23 24 25 24 22 19 16 15 14 13 11 9 7 6 5 4 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 8 19 33 65 101 127 139 144 168 181 187 194 200 201 212 262 353 461 565 655 676 656 634 634 688 852 887 882 870 870 899 942 963 953 940 952 925 1028 1166 1225 1173 1100 1109 1124 1087 1036 1020 1003 988 979 967 943 898 845 803 762 727 705 701 685 654 613 572 536 497 466 441 412 385 386 411 463 555 688 846 1024 1151 1235 1273 1265 1234 1234 1314 1462 1624 1734 1788 1830 1846
6 5 6 7 8 10 10 11 14 20 32 49 61 68 70 68 64 57 49 44 37 31 26 21 22 21 20 21 22 24 22 21 23 24 25 22 19 16 13 12 11 9 7 6 4 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 1 4 14 31 69 123 171 189 194 206 206 210 223 236 241 262 314 393 480 540 592 626 626 579 508 480 514 535 540 536 542 594 683 784 865 907 955 978 1044 1125 1153 1055 1008 1023 1059 1058 1004 957 908 893 889 882 872 855 824 788 755 733 718 714 683 634 581 530 482 430 391 360 335 343 389 447 524 629 775 934 1098 1232 1325 1373 1349 1360 1416 1505 1616 1745 1841 1890 1880 1835
3 3 5 6 6 7 9 10 13 22 37 53 64 71 75 74 66 53 41 30 22 19 21 17 17 16 16 18 21 22 21 20 22 23 24 24 22 19 15 12 10 8 7 5 4 4 4 5 5 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 21 47 106 190 227 238 236 230 233 250 268 280 295 327 375 416 416 411 425 446 446 425 375 315 262 233 241 257 302 395 524 661 764 853 941 1028 1103 1164 1106 1067 994 944 957 928 879 833 825 850 855 840 833 818 788 745 714 700 689 660 613 566 505 449 402 364 339 332 368 431 508 596 704 877 1046 1196 1327 1416 1445 1448 1482 1531 1584 1665 1785 1874 1903 1868 1790
2 3 4 5 6 7 8 11 16 26 42 54 61 64 64 62 55 43 32 24 18 14 15 14 13 13 13 15 18 19 20 20 21 23 22 23 23 21 18 13 10 9 8 6 4 4 3 4 5 5 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 11 30 74 165 225 249 253 249 249 260 275 286 291 298 314 308 275 239 238 293 327 329 283 204 125 93 90 96 116 175 285 422 564 700 823 928 1006 1039 1009 1026 1032 926 853 793 768 768 789 836 879 871 856 839 807 762 728 698 669 636 595 555 497 441 396 365 361 375 416 486 575 676 813 976 1132 1269 1388 1448 1473 1487 1504 1530 1584 1693 1812 1888 1883 1827 1734
2 3 4 5 6 7 8 12 18 27 38 47 52 51 46 41 34 27 21 17 14 11 10 11 11 10 10 11 13 17 19 20 21 22 21 22 24 25 22 14 11 9 8 6 4 2 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 0 0 0 1 6 21 55 123 197 240 251 250 252 257 261 259 258 259 260 249 232 209 186 204 229 230 193 130 73 51 41 33 34 54 112 214 359 514 655 792 897 895 850 832 859 823 746 692 673 700 742 787 859 881 865 850 822 767 728 696 660 620 580 538 489 442 405 389 398 426 476 547 639 754 890 1030 1168 1297 1378 1434 1462 1471 1487 1552 1651 1759 1853 1911 1873 1789 1681
2 2 4 5 6 6 7 11 15 22 32 40 43 36 22 10 9 9 10 9 9 8 8 8 8 8 9 10 12 14 16 19 21 20 19 19 22 26 24 17 11 9 8 6 4 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 4 14 37 92 174 231 247 249 248 243 236 232 235 239 242 236 226 215 187 171 164 147 114 71 42 31 21 13 11 12 33 81 180 326 473 632 767 783 712 640 652 733 713 647 607 618 673 714 759 792 796 796 789 752 707 677 649 606 568 530 493 462 443 439 450 479 526 596 693 809 935 1065 1214 1295 1358 1405 1435 1450 1524 1633 1729 1792 1822 1817 1780 1713 1608
2 3 4 4 5 5 7 8 10 14 20 27 29 23 10 3 3 4 5 6 7 6 6 6 6 6 7 9 11 13 15 17 19 19 17 17 18 25 23 18 14 11 11 7 4 2 1 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 1 5 13 33 101 179 232 252 255 255 240 219 211 214 226 235 234 222 204 173 146 118 86 51 29 21 22 19 12 9 9 11 29 81 175 299 447 581 637 608 549 498 539 585 603 599 569 577 603 631 658 667 669 678 686 682 670 645 609 575 547 516 490 483 488 503 530 570 640 733 841 958 1072 1183 1260 1325 1389 1421 1464 1557 1655 1728 1730 1693 1653 1621 1570 1461
2 3 3 3 4 5 6 6 6 6 8 11 13 10 7 5 5 4 4 4 4 4 4 5 5 6 8 11 13 14 16 17 18 17 17 16 15 22 23 21 17 13 13 9 5 3 1 0 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 3 13 26 80 159 217 231 229 224 216 206 193 191 198 203 200 183 161 142 122 93 58 26 16 16 18 19 19 15 12 9 13 29 71 151 269 388 475 519 512 415 401 481 544 564 544 530 536 543 548 553 560 576 608 642 655 648 630 603 569 509 490 496 513 530 560 603 667 748 838 961 1071 1158 1232 1303 1382 1440 1512 1566 1605 1639 1589 1535 1482 1438 1394 1291
1 2 2 3 4 4 5 5 6 4 3 3 4 4 4 2 2 2 2 2 3 3 3 4 4 7 9 12 15 17 19 19 18 18 18 17 14 17 20 21 18 14 13 11 8 5 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 0 1 9 21 48 98 152 178 185 185 184 181 168 161 158 154 145 127 111 106 99 80 53 35 20 11 11 18 29 21 12 8 8 11 18 54 120 212 317 388 356 319 332 377 329 302 336 431 502 509 507 509 518 531 556 597 626 638 635 622 585 525 495 497 520 542 569 615 677 755 832 946 1054 1152 1236 1311 1369 1419 1459 1475 1489 1485 1455 1421 1382 1315 1245 1161
2 2 2 3 4 5 7 5 6 4 2 0 0 2 1 1 0 1 1 1 1 1 2 3 6 10 14 17 19 22 23 23 21 20 21 18 15 15 18 19 16 13 13 12 10 8 7 5 3 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 3 10 22 43 90 125 142 146 147 153 148 138 129 120 103 89 82 79 76 62 45 33 23 14 9 19 25 18 10 8 8 7 8 15 35 75 172 240 267 285 321 291 197 159 211 333 445 491 510 523 538 542 563 592 616 629 629 615 589 562 538 512 528 557 593 634 681 759 842 945 1059 1179 1265 1314 1345 1368 1379 1357 1368 1362 1347 1334 1313 1242 1153 1072
3 3 3 5 6 9 11 6 5 3 1 0 0 1 2 2 2 1 1 1 1 1 2 5 10 15 20 24 27 28 28 28 26 25 24 21 18 17 17 15 14 13 13 13 11 11 10 9 8 5 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 1 4 9 20 48 72 90 104 119 130 131 126 117 105 87 72 65 62 59 46 36 29 23 17 11 12 13 12 10 8 9 9 7 6 7 16 67 128 192 262 324 272 198 169 208 292 396 473 516 533 581 580 588 601 615 622 617 604 597 589 584 545 539 559 601 650 688 760 854 965 1088 1201 1264 1302 1325 1327 1299 1280 1273 1265 1246 1245 1228 1183 1107 1021
3 5 7 10 14 18 16 10 6 4 4 5 5 6 6 6 5 3 4 4 4 5 6 3 9 17 25 31 35 35 33 32 31 28 26 24 21 18 17 15 14 14 14 13 12 12 12 11 9 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 1 5 12 25 40 55 70 86 101 117 126 120 106 90 79 73 66 61 51 43 37 32 21 18 15 13 13 12 10 10 10 9 8 6 4 20 53 111 208 288 297 274 259 274 330 407 478 532 522 564 574 574 581 588 600 615 631 624 567 561 530 510 521 581 637 694 765 856 975 1108 1195 1251 1287 1310 1299 1251 1212 1195 1193 1171 1160 1152 1129 1066 989
9 16 22 28 33 34 26 17 11 9 11 14 14 12 11 9 7 4 7 9 10 10 8 6 9 17 27 35 38 38 36 34 33 32 30 29 25 20 18 16 14 13 13 12 13 13 13 12 10 8 8 8 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 3 8 16 24 35 50 67 88 112 130 128 121 116 110 97 86 79 71 63 60 66 52 38 25 18 15 14 12 11 11 11 10 8 6 6 13 45 132 221 295 350 348 378 413 446 462 535 497 486 516 575 597 582 575 575 583 595 520 487 468 463 447 543 621 693 765 841 949 1061 1151 1219 1258 1281 1259 1216 1175 1149 1140 1121 1107 1101 1084 1009 950
29 47 58 61 57 49 36 24 15 11 15 18 18 16 16 17 14 11 11 14 14 10 6 6 13 21 29 36 35 36 35 33 32 31 31 30 27 22 18 16 15 13 13 12 13 14 14 13 10 8 8 9 8 7 4 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 5 10 14 20 33 53 79 105 125 129 123 106 86 102 104 102 98 92 89 92 80 60 40 29 21 15 12 12 12 12 11 9 8 6 3 17 64 135 224 311 334 379 445 497 452 507 507 478 457 566 589 569 543 514 449 488 468 427 397 450 451 507 579 658 740 816 902 985 1067 1146 1191 1214 1209 1181 1142 1117 1102 1086 1069 1053 1016 960 912
65 82 89 84 69 51 39 29 21 17 18 23 26 28 29 28 25 21 18 17 18 10 8 15 24 31 33 33 32 31 31 29 27 27 27 27 26 22 18 18 18 16 14 12 11 12 13 13 12 10 9 9 8 6 4 5 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 8 12 20 31 48 73 97 113 121 125 129 116 121 128 133 131 121 116 109 95 74 54 41 30 20 15 16 15 14 12 11 10 8 5 7 20 47 120 177 236 330 449 540 493 484 501 518 408 496 523 500 460 511 419 384 386 409 347 403 450 483 511 583 666 752 841 923 988 1047 1089 1124 1144 1119 1088 1069 1057 1045 1023 995 954 910 874
95 93 82 67 51 36 28 23 19 21 25 30 33 37 39 36 32 28 25 23 24 20 18 19 26 35 36 33 29 27 25 25 24 23 22 23 25 22 20 20 21 19 16 12 12 12 13 14 13 12 10 9 8 6 5 5 6 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 1 1 0 3 8 12 17 23 36 62 84 100 114 132 152 148 147 152 160 153 144 137 127 111 87 71 57 42 29 19 22 20 17 14 11 10 9 8 6 4 6 48 96 164 264 390 467 478 464 452 544 500 479 482 500 376 427 387 312 263 376 327 331 381 441 434 498 575 673 780 857 909 950 990 1031 1073 1056 1034 1018 1004 985 960 933 896 858 832
91 73 54 38 27 20 16 15 16 21 29 36 41 44 45 40 36 32 28 27 28 33 41 46 46 45 38 33 29 26 24 23 21 21 20 20 23 22 21 20 21 21 19 15 13 13 14 15 14 13 12 10 9 7 5 5 6 6 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 2 1 3 5 6 5 7 11 14 16 20 30 49 72 99 131 158 159 159 163 171 180 172 161 150 142 133 111 93 75 57 40 32 28 25 22 18 15 13 10 9 7 5 3 15 37 78 176 248 305 356 404 403 500 533 501 435 520 409 343 308 284 168 261 285 271 258 350 377 425 485 568 723 775 803 837 888 936 965 976 976 968 957 940 914 878 841 808 796
58 41 27 19 13 10 9 11 16 23 36 44 49 50 48 43 38 35 34 34 38 50 61 63 53 45 40 34 29 25 22 21 20 20 19 17 17 18 19 19 19 22 21 19 16 15 16 17 17 16 14 13 12 9 7 7 8 9 7 5 3 1 0 0 0 0 0 0 0 0 0 0 0 1 4 9 14 17 17 17 19 19 18 20 27 40 54 69 101 116 125 145 170 182 187 185 183 179 164 137 113 92 75 60 46 37 30 27 28 23 20 17 13 10 8 7 5 5 9 32 95 141 180 226 303 346 412 476 514 373 404 383 330 265 307 224 201 214 251 225 280 317 368 439 487 606 667 696 721 779 826 872 907 924 920 908 889 855 811 775 754 753
28 19 13 10 8 7 7 10 17 29 43 52 55 54 49 47 43 40 41 44 51 57 63 64 55 46 40 35 29 26 22 20 20 20 20 19 18 18 18 19 18 21 22 22 22 20 20 20 20 20 19 18 16 15 14 13 12 11 9 8 6 4 1 0 0 0 0 0 1 0 0 0 0 1 6 13 22 28 31 33 33 29 23 22 28 41 54 48 54 61 81 113 149 168 181 182 175 166 145 120 94 74 60 49 38 28 20 16 19 17 15 15 16 11 9 9 8 5 4 21 50 86 122 154 260 349 363 330 437 351 311 323 348 209 230 222 195 168 206 220 250 282 313 386 435 482 536 592 622 673 741 800 832 862 870 855 828 795 748 710 691 691
12 9 6 6 7 7 8 10 19 33 47 56 58 55 50 50 48 45 44 48 52 57 61 60 53 45 39 35 30 26 22 20 20 19 20 20 21 21 21 21 20 22 23 25 28 27 27 26 25 25 25 24 23 22 21 18 16 14 12 11 9 6 3 1 0 0 0 1 2 1 1 1 1 1 4 12 23 31 37 41 40 34 27 27 33 47 62 53 44 47 65 93 125 154 170 170 159 150 133 113 92 67 53 41 27 16 10 7 6 6 5 5 7 8 8 9 10 9 7 14 33 62 84 115 196 320 400 278 332 353 312 230 307 225 190 179 176 186 190 192 220 272 289 346 398 433 454 500 545 595 659 730 755 778 803 798 746 712 670 639 626 625
5 5 4 5 6 7 9 13 26 41 52 57 58 53 51 51 52 51 48 50 52 54 56 55 47 42 39 36 31 27 23 21 19 20 20 22 23 23 23 21 20 20 20 21 26 28 29 30 31 31 32 31 29 28 26 22 19 16 14 13 12 9 6 3 1 0 0 1 2 2 3 3 4 6 9 14 20 27 33 36 36 32 30 33 44 59 67 59 48 47 62 86 113 140 156 152 142 138 128 115 105 80 63 51 34 14 11 10 7 3 3 3 5 6 6 6 7 7 9 13 22 45 57 81 117 183 327 286 275 300 321 215 231 223 200 183 144 153 185 188 176 234 273 314 359 395 394 435 495 556 614 685 727 724 717 729 678 624 581 548 536 535
2 2 2 4 4 5 8 16 32 47 56 59 56 51 50 52 55 55 51 51 52 53 54 53 46 43 40 36 31 28 27 25 21 19 21 23 25 26 25 22 20 16 15 16 18 20 21 23 26 30 35 39 40 37 31 27 22 17 14 13 13 12 9 6 3 3 3 4 4 4 5 6 8 10 13 16 18 22 27 30 30 29 31 39 53 68 75 67 55 54 69 90 108 123 133 136 140 141 129 111 107 91 74 60 49 28 20 17 12 6 5 4 4 5 6 4 4 4 7 12 15 27 41 57 73 83 149 179 185 196 244 218 208 187 153 161 139 111 116 152 141 176 226 262 277 338 375 412 467 544 571 603 660 679 637 600 515 492 481 445 437 422
1 0 1 3 4 6 8 18 36 53 64 65 57 52 50 52 55 56 56 56 55 52 51 53 50 46 41 36 33 30 28 25 21 20 21 23 26 28 27 25 22 18 15 14 14 14 13 13 14 18 25 33 42 45 40 36 31 24 15 15 15 14 13 11 7 8 9 10 10 7 7 9 11 12 14 17 19 23 27 31 33 37 42 49 62 79 81 71 59 58 70 88 103 109 110 110 117 124 122 109 105 98 85 68 59 47 36 26 21 14 12 10 8 6 6 5 4 3 4 6 11 22 36 53 65 59 67 89 121 145 171 177 186 179 122 131 166 153 90 128 137 137 168 232 252 301 372 430 454 523 561 556 558 540 483 466 394 336 342 321 331 319
0 0 0 2 5 6 9 18 37 57 68 69 60 54 51 52 54 55 58 60 59 54 51 51 50 47 44 38 34 31 29 25 22 21 21 23 26 27 28 26 23 21 19 17 14 12 11 9 8 9 10 13 19 27 33 37 40 39 32 28 25 23 20 18 15 16 17 18 17 17 16 14 14 14 17 19 22 27 36 40 50 62 71 74 81 88 84 72 62 60 65 77 91 97 96 92 94 97 92 87 78 74 74 67 57 53 42 33 29 32 39 28 14 9 8 5 3 2 2 2 5 16 37 58 57 46 43 57 90 110 124 135 145 167 156 126 130 171 116 113 121 131 153 214 267 286 317 386 407 482 483 447 441 380 318 294 274 223 209 186 183 183
0 0 0 1 3 5 7 16 35 54 67 70 64 58 59 65 65 61 62 66 74 69 61 56 52 49 47 42 37 31 28 26 23 21 22 24 26 26 26 25 23 21 19 18 15 13 10 8 6 5 5 5 8 10 14 21 29 34 33 34 33 27 26 23 23 26 29 33 34 31 29 28 27 25 25 25 25 26 36 48 65 85 102 100 95 86 75 65 59 54 55 64 77 83 81 75 70 68 62 60 53 48 51 49 38 28 23 21 20 19 17 14 12 9 6 4 2 1 1 0 0 6 20 25 28 27 23 29 42 52 65 83 98 136 170 150 94 119 131 126 115 110 121 163 202 199 160 188 200 228 230 186 214 196 175 157 115 101 100 85 70 63
0 0 0 1 3 5 5 15 34 58 81 89 88 84 81 84 84 83 76 77 97 92 84 69 55 52 51 47 42 36 30 28 26 24 23 24 25 26 26 25 23 21 19 18 16 13 10 8 5 4 3 3 5 5 6 8 11 13 13 10 7 12 16 21 28 36 38 43 43 41 39 40 36 35 35 33 29 29 36 48 65 89 114 111 97 77 60 60 52 45 45 52 63 63 60 58 55 51 42 36 29 23 25 28 22 14 10 8 9 8 5 4 5 3 2 1 0 0 0 0 1 0 6 16 23 21 12 9 10 19 38 67 96 115 135 145 110 112 133 135 103 75 79 106 132 121 61 49 40 40 68 50 53 50 38 22 19 18 20 19 13 9
0 1 2 4 8 8 7 19 47 84 112 116 110 98 84 76 78 80 82 85 98 102 102 88 64 55 53 52 47 40 33 31 29 27 25 24 25 26 26 25 23 21 20 18 16 14 11 9 7 5 4 3 4 4 5 5 5 6 6 5 5 4 6 10 16 22 27 31 31 32 34 39 38 38 39 39 34 34 40 50 63 82 104 107 98 78 45 50 46 40 43 47 49 46 42 43 44 38 29 19 11 7 7 8 8 6 3 2 2 3 2 2 1 1 0 0 0 0 0 0 0 0 1 4 9 13 7 3 3 11 29 50 79 96 108 134 144 134 128 126 88 61 69 95 108 86 35 9 3 3 7 5 6 6 2 1 0 0 0 1 1 0
1 2 3 6 10 8 11 29 60 88 114 118 110 95 78 63 60 62 65 66 74 87 98 102 92 77 68 60 55 48 42 37 33 31 30 29 28 27 26 25 23 22 20 18 17 16 13 11 9 8 7 6 5 5 4 4 4 3 3 3 4 4 4 5 5 5 9 10 11 12 14 25 35 43 49 50 46 44 47 52 58 76 89 94 86 55 27 20 21 25 36 42 42 38 35 36 36 29 18 9 5 1 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 3 7 18 40 69 94 120 143 134 104 93 75 55 50 68 77 69 34 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 2 4 6 9 7 13 31 58 69 92 104 104 90 65 52 46 45 46 50 60 70 82 91 93 96 100 93 76 61 52 45 39 36 35 32 29 28 27 28 27 24 22 20 17 16 15 13 12 11 10 8 7 6 6 6 6 5 5 5 4 3 3 3 3 3 4 6 6 6 6 13 29 49 67 69 65 63 61 58 62 70 77 81 74 46 21 7 2 6 17 29 36 38 32 31 28 20 11 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 7 19 38 59 83 95 88 76 76 59 38 36 39 32 27 16 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2 3 5 7 9 9 10 15 28 45 65 80 95 111 74 56 46 39 35 40 45 52 62 73 80 86 88 87 84 76 68 60 54 49 43 36 32 30 29 30 29 27 25 22 18 17 15 15 14 13 12 10 9 8 8 8 8 8 9 9 9 8 7 5 4 3 3 3 4 5 5 8 16 32 58 78 92 96 84 72 65 64 66 67 55 35 18 5 0 0 8 19 30 36 29 24 17 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 1 3 5 1 0 3 6 8 15 22 30 36 44 43 50 45 21 12 9 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2 2 4 6 10 12 11 10 11 17 22 35 63 96 60 44 41 38 28 28 30 38 50 61 69 71 71 71 71 69 66 63 61 59 53 46 40 37 35 34 32 30 29 23 19 18 16 15 15 13 12 11 10 10 9 9 9 8 9 9 9 9 8 8 7 5 4 2 2 3 3 4 5 9 28 52 81 106 98 84 72 65 65 60 49 36 20 4 1 0 4 11 20 23 19 13 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 1 4 4 1 0 0 1 1 2 4 7 14 22 19 18 17 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 1 3 8 14 18 20 18 17 17 23 39 65 74 60 45 33 22 15 14 18 26 36 48 57 63 65 65 63 61 58 55 50 51 51 57 62 54 51 47 41 35 32 26 22 20 17 15 15 14 13 13 12 11 10 9 9 9 8 8 8 8 8 8 7 7 5 4 3 3 2 3 3 4 10 22 46 81 90 86 77 71 68 63 55 42 20 5 1 0 1 4 10 11 10 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 1 0 0 0 0 0 0 0 0 0 2 5 5 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 1 3 8 16 22 25 24 22 21 23 36 72 85 77 54 23 4 3 4 7 12 20 33 43 50 53 51 49 48 46 42 37 39 42 48 57 66 68 65 57 43 38 33 28 24 20 17 17 16 15 15 15 14 13 12 11 10 10 9 10 10 9 8 7 7 6 5 5 4 3 2 2 3 4 9 25 53 75 83 79 78 78 77 69 49 18 6 1 0 0 3 5 6 6 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 1 2 8 16 23 27 29 27 25 28 42 84 107 108 85 32 10 2 0 1 3 12 20 28 35 38 35 33 33 33 30 26 27 32 37 42 49 55 63 66 56 53 45 36 31 26 23 20 19 18 17 17 16 16 15 14 13 12 11 11 11 11 9 8 8 7 6 6 5 4 3 2 2 2 4 15 34 59 77 79 83 86 88 82 53 23 7 0 0 0 3 5 6 5 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 1 7 16 25 32 34 31 27 28 50 85 109 115 96 42 16 4 0 0 0 5 10 16 22 26 24 23 23 24 22 19 20 23 27 32 36 39 45 54 60 63 56 44 36 30 25 22 20 20 18 18 18 18 17 16 15 14 13 13 13 12 11 10 9 7 6 6 5 5 4 3 3 2 3 8 26 51 73 86 92 94 95 96 61 26 6 0 0 0 1 3 4 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 6 15 26 31 36 35 29 24 36 62 80 86 78 50 24 7 0 0 0 1 2 5 9 13 14 13 13 17 13 8 8 13 19 22 26 31 37 43 51 59 65 65 51 35 27 23 21 22 22 22 22 21 20 18 16 16 16 15 15 13 11 9 7 6 6 6 5 5 4 4 3 3 3 3 16 40 65 92 105 107 106 93 64 29 4 0 0 0 0 0 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 1 2
0 0 1 5 14 26 29 32 31 25 18 18 31 52 71 77 61 37 15 3 0 0 0 0 0 0 3 3 4 5 5 3 2 3 7 12 14 17 22 29 34 42 50 56 58 51 42 33 25 23 23 23 24 24 23 21 20 19 18 18 17 16 14 10 6 3 4 5 5 5 5 5 4 4 4 3 3 6 18 37 72 103 119 112 86 53 21 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 1 1 1 2 3
0 0 1 5 12 23 28 29 26 20 18 20 36 60 81 90 77 52 26 9 2 0 0 0 0 0 0 1 2 2 3 3 3 2 2 1 4 8 11 15 12 22 37 44 50 49 44 36 26 23 25 26 25 23 22 21 20 20 21 20 19 16 12 8 4 2 3 4 5 5 5 5 5 4 3 3 3 2 5 12 56 118 115 64 30 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 5
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