Vorticity
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nan 10 10 11 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 9 9 11 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 9 10 10 10 10 10 10 11 12 13 13 13 13 12 12 12 12 12 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 12 11 10 9 8 9 10 11 12 12 11 8 4 2 0 0 0 -0 1 2 4 5 7 9 12 15 18 18 19 19 18 19 19 19 18 17 17 15 nan
nan 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 9 10 11 11 12 12 11 11 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 11 11 10 10 11 12 12 12 12 11 9 9 10 10 11 12 12 12 11 9 8 7 6 5 2 0 -1 -1 -1 1 2 5 10 14 16 17 18 18 19 20 20 19 19 19 18 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
3 2 2 3 5 6 7 8 8 9 10 10 11 14 18 21 22 22 22 25 27 28 30 34 36 36 37 36 34 32 33 32 31 27 23 20 18 17 16 14 11 7 4 3 3 3 3 3 3 4 4 3 2 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 2 4 6 2 0 1 3 6 8 8 7 6 6 6 6 9 20 44 84 137 183 217 248 285 340 436 541 654 795 975 1190 1303 1289 1206 1146 1159 1271 1303 1365 1411 1434 1437 1406 1295 1227 1277 1428 1520 1616 1665 1662 1623 1566 1509 1533 1538 1507 1495 1488 1522 1540 1553 1581 1621 1617 1573 1508 1419 1327 1251 1179 1114 1060 1016 980 960 984 1053 1157 1253 1305 1273 1238 1278 1382 1501 1502 1492 1541 1607 1676 1782 1790 1702
3 3 4 4 5 6 6 7 8 9 10 10 10 13 16 19 21 22 21 23 24 25 27 30 32 31 30 29 27 25 26 27 29 29 26 23 20 18 18 16 12 8 6 4 4 3 3 3 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 2 1 1 2 5 8 5 2 0 0 2 4 7 8 8 6 5 5 6 10 25 52 83 140 193 237 273 309 366 472 587 698 809 941 1115 1192 1200 1163 1114 1080 1187 1210 1208 1197 1181 1209 1227 1195 1175 1241 1431 1579 1605 1613 1610 1555 1489 1454 1448 1405 1369 1408 1416 1452 1490 1511 1503 1501 1516 1478 1415 1352 1268 1178 1100 1034 981 945 921 903 932 1007 1110 1201 1240 1221 1235 1322 1472 1603 1576 1562 1604 1689 1735 1766 1713 1584
2 2 2 2 3 5 7 8 8 9 9 8 9 11 14 16 19 21 20 20 20 20 20 23 26 26 25 22 21 21 22 23 24 26 26 24 22 20 18 17 15 11 7 5 3 3 4 4 3 2 2 2 1 0 0 0 0 0 0 0 0 0 0 1 3 2 1 1 3 7 6 3 0 0 2 4 6 8 8 7 6 6 5 7 23 67 104 154 207 255 298 339 417 523 636 734 822 941 1057 1127 1192 1258 1224 1210 1212 1160 1066 1002 963 995 1054 1124 1209 1299 1387 1429 1459 1507 1538 1491 1462 1405 1373 1375 1345 1328 1328 1357 1400 1415 1382 1371 1384 1367 1320 1264 1160 1080 1017 962 913 875 876 893 941 1020 1103 1184 1225 1249 1297 1395 1504 1565 1553 1553 1641 1733 1765 1739 1634 1467
2 1 2 2 3 5 6 7 7 7 7 6 7 9 10 12 14 16 15 15 15 16 17 20 22 23 22 20 18 19 19 20 20 21 21 22 23 21 17 15 14 12 8 5 4 4 4 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 1 4 5 3 1 0 0 4 5 3 0 1 2 4 6 7 7 6 6 6 5 5 12 49 101 166 228 281 337 398 488 589 685 763 845 969 1118 1234 1288 1304 1222 1178 1193 1164 1014 896 817 815 891 1031 1184 1278 1327 1346 1363 1396 1393 1408 1412 1363 1282 1239 1226 1246 1250 1254 1274 1263 1249 1249 1233 1187 1152 1129 1055 990 947 914 882 845 851 895 962 1047 1106 1168 1225 1282 1358 1461 1522 1521 1514 1537 1675 1740 1735 1666 1543 1355
2 1 2 3 4 5 6 6 7 7 7 6 7 8 9 9 11 13 13 14 14 14 16 18 19 20 19 19 17 17 17 18 18 19 18 19 20 20 18 15 15 13 10 7 4 3 3 4 4 3 2 0 0 0 0 0 0 0 0 0 0 0 2 5 6 4 2 1 3 9 9 4 1 1 2 4 6 7 7 7 8 8 8 9 13 42 95 165 237 292 360 444 552 675 778 859 931 1048 1184 1281 1295 1235 1163 1110 1085 1053 951 874 775 728 777 922 1087 1244 1323 1298 1219 1201 1184 1221 1232 1178 1185 1179 1176 1159 1136 1142 1146 1130 1129 1123 1094 1044 1046 1041 999 940 901 878 853 834 844 891 951 1027 1098 1173 1256 1338 1426 1523 1602 1646 1640 1660 1741 1767 1716 1596 1443 1263
2 2 2 3 4 5 5 6 7 7 6 6 7 7 8 10 10 11 12 13 14 14 15 16 16 17 18 16 16 16 16 16 17 17 16 17 17 17 16 13 13 13 11 8 5 3 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 1 4 5 4 3 2 6 11 11 6 2 1 2 4 5 7 8 9 10 11 13 15 22 41 76 129 191 249 321 405 507 620 718 810 879 964 1048 1070 1059 1018 981 953 938 910 864 864 829 777 796 894 1019 1174 1288 1285 1214 1147 1068 1046 1094 1142 1178 1125 1084 1070 1063 1056 1053 1044 1030 1016 1005 1001 1030 1007 935 878 871 845 818 809 830 874 929 1004 1096 1205 1317 1403 1484 1558 1626 1703 1716 1756 1798 1792 1686 1528 1365 1206
2 2 2 3 4 4 5 6 6 6 5 6 7 7 8 8 9 10 12 13 14 13 13 13 14 15 15 14 14 14 15 15 15 14 14 15 15 15 14 12 12 11 10 8 6 3 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 3 5 6 4 2 5 7 6 5 2 1 2 3 4 6 8 10 12 13 16 21 26 33 48 82 133 183 239 294 345 411 469 514 558 608 650 623 591 632 680 707 756 781 771 790 832 862 902 979 1050 1126 1224 1253 1225 1178 1108 1049 1035 1028 1045 1027 998 986 958 955 956 949 938 937 941 931 901 852 812 780 793 790 771 758 782 831 899 994 1116 1263 1341 1389 1419 1444 1467 1543 1618 1703 1775 1782 1644 1477 1312 1165
1 1 2 3 3 5 5 5 5 5 5 5 6 7 8 8 8 9 11 12 11 11 11 11 11 12 13 12 12 12 13 13 13 13 12 13 13 14 14 13 12 11 10 8 6 3 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 2 6 9 9 8 5 3 3 5 6 3 1 1 1 3 4 7 11 13 14 17 25 33 34 29 42 100 149 189 220 228 239 244 243 246 255 260 230 224 276 350 422 533 597 601 601 670 811 904 1002 1084 1118 1118 1165 1182 1169 1132 1072 989 914 909 935 934 911 898 906 915 915 917 913 895 858 799 718 726 717 716 715 710 706 735 788 867 972 1108 1228 1278 1278 1245 1200 1221 1329 1470 1613 1723 1695 1577 1421 1262 1129
0 1 2 2 3 4 4 4 4 4 4 5 5 6 7 7 6 7 9 10 10 9 10 9 8 8 9 9 9 10 10 10 10 11 11 11 11 13 14 14 13 12 12 10 9 7 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 1 5 11 17 14 11 8 4 3 5 6 3 1 0 1 2 4 7 10 13 14 16 24 33 39 36 25 56 100 150 189 182 175 159 138 119 97 81 62 60 81 112 178 313 410 428 392 393 552 666 765 912 1077 1077 1085 1105 1112 1081 986 914 884 888 900 866 861 873 885 886 888 886 853 811 777 737 660 662 671 669 649 650 666 702 756 825 935 1052 1136 1173 1166 1129 1132 1191 1305 1442 1599 1665 1616 1496 1345 1197 1093
0 1 2 2 3 4 4 4 4 4 4 4 5 7 6 6 7 7 7 9 8 8 8 8 8 7 6 6 6 7 7 8 9 11 11 10 11 11 12 13 13 13 14 15 15 14 10 6 4 2 1 0 0 0 0 0 0 0 1 0 0 2 6 15 23 21 15 9 3 2 3 4 3 1 0 0 1 3 6 10 13 14 15 20 30 42 51 40 36 46 78 144 151 150 139 118 93 69 51 38 28 22 24 45 122 207 250 249 174 233 329 406 546 907 946 920 968 1014 1003 951 906 875 853 855 845 841 816 780 820 833 815 783 750 693 651 598 575 582 616 598 605 631 676 734 789 886 984 1064 1107 1109 1100 1136 1253 1419 1514 1619 1642 1566 1412 1261 1135 1040
1 1 2 3 4 4 4 4 3 3 3 3 3 6 6 6 6 6 6 7 7 7 7 7 8 7 6 6 6 6 6 7 9 11 12 11 10 11 12 12 12 13 15 16 17 18 16 13 9 6 4 1 0 0 0 0 0 0 0 0 0 1 4 13 22 23 18 9 2 1 2 4 4 2 0 0 1 3 7 10 15 16 15 17 23 37 55 69 73 61 42 109 146 151 139 119 93 73 57 42 28 17 9 10 27 57 71 89 70 70 115 171 260 542 733 773 820 829 853 873 875 847 810 807 806 799 778 700 711 722 716 702 690 643 592 545 515 502 535 538 550 590 653 719 789 875 966 1050 1100 1121 1136 1157 1211 1399 1518 1597 1606 1513 1315 1166 1049 968
2 2 3 4 5 5 5 5 4 3 3 3 1 4 5 5 6 5 5 5 5 5 6 6 7 7 7 7 8 7 7 7 8 11 12 12 11 12 12 14 13 13 15 15 15 18 18 17 15 13 9 4 1 0 0 0 0 0 0 0 0 1 5 13 19 19 15 7 4 3 5 6 5 3 1 1 1 4 8 13 19 22 20 16 20 30 53 83 107 93 69 103 146 165 152 134 112 91 74 59 41 25 14 7 5 7 9 21 21 13 25 87 170 312 467 566 644 599 586 642 758 805 776 735 694 676 770 696 648 634 631 615 613 575 531 506 498 497 496 493 511 567 626 699 785 876 958 1037 1099 1161 1204 1198 1215 1320 1429 1503 1505 1368 1198 1058 956 892
1 2 3 4 5 5 4 4 3 4 5 6 3 4 4 4 4 3 3 4 3 3 3 3 5 6 8 10 11 11 12 12 13 15 15 15 13 12 11 12 12 13 14 14 15 19 20 20 20 19 17 10 5 1 0 0 0 0 0 0 0 0 9 17 20 17 13 7 4 5 7 10 9 6 4 2 2 5 10 18 27 33 31 24 24 30 49 82 111 91 78 96 135 168 152 141 128 115 106 92 66 44 27 14 4 2 3 2 1 1 5 57 137 225 298 332 381 359 302 267 407 593 668 673 638 541 651 678 656 629 591 567 553 520 498 506 494 472 447 443 475 538 605 678 758 867 943 1014 1079 1150 1236 1207 1220 1268 1327 1370 1338 1217 1077 955 872 822
1 2 3 4 4 4 3 3 3 4 7 5 3 3 3 3 2 1 1 2 1 1 0 3 3 5 9 13 17 18 19 20 20 21 21 21 18 15 12 10 11 12 13 13 16 19 22 24 24 24 22 17 10 5 2 1 0 0 0 0 0 0 6 11 15 16 12 7 5 6 9 13 12 10 7 4 3 6 13 25 40 53 48 42 40 46 63 92 98 79 68 77 107 124 115 105 97 98 113 102 85 65 43 28 14 8 5 3 2 1 1 24 72 137 209 218 224 214 160 51 76 217 375 522 666 614 608 611 607 593 567 559 549 540 561 541 503 454 412 407 451 515 593 667 701 818 919 999 1060 1098 1161 1167 1173 1179 1186 1191 1148 1074 976 866 794 749
1 2 3 3 3 3 3 2 2 3 4 3 3 3 2 2 1 0 0 1 1 1 2 3 4 7 15 22 28 27 25 23 23 24 23 24 23 20 16 11 10 11 12 13 14 18 24 27 27 28 27 23 17 10 4 2 0 0 0 0 0 0 2 7 16 19 13 7 5 7 11 15 16 13 8 4 4 7 15 32 58 74 73 73 76 85 102 117 108 86 64 57 76 83 78 67 58 56 78 91 91 80 56 42 30 21 13 8 4 3 2 4 10 16 88 137 161 168 126 63 28 37 111 260 516 647 669 597 558 552 533 523 534 523 532 517 487 451 411 401 419 465 534 632 676 762 859 956 1033 1057 1080 1091 1092 1074 1051 1032 996 939 865 773 709 670
2 3 3 3 3 2 3 2 1 0 0 1 1 1 2 2 2 1 2 3 5 4 8 11 16 25 34 35 34 30 26 24 22 22 22 23 24 24 21 15 13 13 13 13 13 18 25 31 34 34 32 28 23 14 6 2 0 0 0 1 1 0 1 7 26 27 18 9 5 8 13 16 16 13 7 4 4 8 18 38 73 93 106 113 118 122 132 136 128 112 92 81 81 80 71 53 37 37 50 63 73 74 57 45 38 31 18 14 10 7 5 1 1 2 25 64 109 126 133 116 71 28 41 81 227 426 633 664 599 587 561 497 516 481 447 427 420 409 380 369 371 397 449 547 627 708 792 889 970 1011 1023 1016 1010 979 947 924 894 826 748 676 623 591
2 2 3 3 3 3 4 3 1 0 2 2 4 5 6 8 8 6 8 14 18 22 32 41 50 58 51 41 33 27 22 19 17 17 18 20 22 25 24 22 22 24 27 26 29 32 35 40 45 43 39 37 30 19 8 2 1 0 1 1 1 1 1 4 12 17 16 12 10 11 14 16 16 12 6 4 5 10 22 47 76 100 121 134 140 140 143 143 140 136 134 126 115 101 82 51 29 24 27 32 43 42 37 33 31 33 24 18 14 11 10 5 3 2 6 20 60 78 96 112 121 102 88 58 62 123 315 400 440 511 604 492 449 387 337 320 319 327 313 289 281 321 378 453 537 629 719 806 872 926 963 942 925 903 870 828 795 724 652 591 548 524
1 2 4 6 8 10 11 10 8 7 11 14 17 19 19 20 20 14 13 20 28 37 50 55 53 53 44 36 29 23 18 16 15 15 16 17 20 22 23 25 30 40 50 52 53 55 56 56 61 58 53 47 36 21 8 2 0 1 1 2 2 3 3 5 11 15 17 16 16 14 14 16 17 13 8 5 7 13 27 48 66 84 100 117 130 139 146 151 154 151 151 142 125 101 76 46 28 16 7 6 12 15 17 18 18 20 18 18 16 12 11 9 8 7 7 11 34 51 67 85 111 141 146 127 87 31 93 119 140 194 361 366 395 373 295 297 292 289 277 262 243 284 324 365 417 512 623 710 765 801 857 850 837 827 807 745 691 632 570 517 484 473
3 6 11 15 19 22 26 30 32 33 35 35 34 34 35 37 31 22 17 17 16 23 44 58 52 47 41 35 28 22 18 17 16 14 13 13 13 16 17 20 25 36 53 66 75 78 75 72 74 73 68 60 47 30 15 7 5 7 7 9 10 10 9 10 13 18 23 24 23 20 18 18 19 17 14 12 14 21 34 45 54 64 81 100 115 129 143 155 162 161 153 138 118 88 58 34 21 16 10 6 5 6 8 9 11 13 15 16 16 12 13 16 17 15 14 17 25 36 49 66 91 125 160 190 198 139 88 48 22 6 62 142 319 467 387 415 416 385 329 270 255 270 294 316 344 443 541 629 688 692 730 768 776 746 725 671 606 540 485 439 413 404
7 10 17 25 30 36 42 49 55 55 51 45 40 38 39 41 34 29 32 41 40 33 39 52 52 48 42 36 29 22 20 19 17 14 13 12 12 12 13 15 18 22 36 53 68 81 78 75 73 72 69 67 57 44 34 29 25 26 25 25 23 20 18 19 23 28 32 31 30 27 24 23 23 23 24 24 26 34 43 47 54 67 81 94 103 116 136 156 167 167 152 133 117 89 59 33 15 8 4 4 3 4 5 5 6 8 9 10 10 8 9 14 20 17 14 15 19 26 38 53 71 97 136 188 248 263 209 118 64 39 16 18 76 252 364 460 496 444 360 273 241 245 263 257 295 361 449 543 619 661 696 719 731 673 627 574 511 445 397 354 326 316
16 15 19 29 38 46 53 60 65 57 47 40 36 36 37 37 36 37 46 54 50 44 44 51 58 54 47 39 30 25 22 21 19 15 14 13 12 11 11 11 13 15 19 23 31 49 55 59 64 67 66 65 63 62 61 57 49 48 46 41 36 30 25 24 25 27 30 33 34 34 33 33 35 35 35 37 41 49 55 60 67 79 90 96 101 111 131 152 163 158 140 127 120 105 83 58 33 22 13 8 5 4 3 4 4 4 3 5 6 6 6 6 9 11 11 13 18 24 31 39 49 64 97 148 213 275 296 238 184 125 61 12 11 72 173 283 363 321 242 217 201 184 197 209 235 291 381 456 526 608 620 576 641 600 525 452 400 332 282 245 228 240
20 22 21 27 37 47 55 63 61 53 43 36 32 34 37 40 45 50 54 47 51 54 54 56 61 58 50 41 32 27 25 23 20 19 17 15 13 12 10 8 9 9 10 10 12 18 27 36 47 61 64 67 72 78 81 73 63 56 51 50 45 40 35 29 23 20 22 27 35 43 49 49 53 54 54 56 61 67 70 73 81 90 99 102 105 114 130 143 150 141 120 118 124 124 113 91 71 51 32 20 15 11 8 5 3 3 3 3 4 4 4 5 6 7 9 13 19 24 26 30 37 43 67 102 143 191 246 267 260 218 153 102 77 69 77 108 170 176 186 197 198 156 148 154 173 226 328 401 444 510 612 579 533 484 420 334 275 236 202 181 185 204
18 18 16 19 26 35 45 53 50 43 35 28 26 31 37 43 50 54 54 46 46 52 59 66 61 55 49 42 35 30 29 28 24 21 19 18 17 13 10 7 7 6 6 7 8 10 12 16 21 35 41 47 58 68 72 67 59 52 46 44 38 32 26 19 13 11 12 20 37 58 67 70 72 75 77 79 79 79 78 79 85 95 105 113 116 121 129 131 129 126 114 115 127 138 138 126 105 82 61 44 34 26 18 10 5 4 3 4 4 4 3 3 4 6 9 13 18 19 19 23 32 40 53 68 87 122 175 225 256 256 223 199 166 127 93 66 70 78 97 124 161 142 129 136 167 193 250 348 401 385 490 496 429 353 308 228 177 152 135 126 133 144
10 9 9 10 16 25 36 42 42 37 30 23 25 29 35 42 49 52 56 55 53 52 59 72 66 56 50 43 36 33 31 27 21 20 20 21 19 16 12 10 8 7 6 6 7 8 9 10 10 13 15 17 17 13 28 37 40 37 26 20 16 11 6 1 1 2 5 13 31 62 76 83 88 93 91 91 86 79 75 79 91 102 112 122 131 126 121 119 123 119 110 114 128 143 147 136 117 98 81 65 54 43 31 17 8 6 5 5 5 4 2 3 5 7 9 11 15 19 23 23 27 33 38 45 65 92 125 167 211 248 270 281 255 194 142 92 56 31 22 27 53 75 88 96 122 140 169 226 294 308 338 360 325 223 171 124 99 80 64 64 64 85
2 2 3 4 9 19 31 41 42 37 30 24 24 29 34 40 48 48 57 66 69 65 64 67 64 59 54 48 38 34 32 28 24 23 22 22 21 19 15 12 9 8 8 7 7 8 8 8 8 7 7 7 7 7 8 12 15 15 9 6 4 2 1 0 0 1 2 5 10 38 55 66 75 82 81 80 77 72 68 72 86 100 112 130 149 150 149 152 149 130 115 114 125 138 141 133 116 99 85 73 63 52 38 24 15 12 9 8 7 7 7 7 8 9 9 9 10 12 14 14 15 19 25 30 46 69 92 121 171 225 272 319 333 267 200 136 81 39 11 4 7 23 47 63 85 111 127 136 180 197 184 180 177 112 77 54 37 22 19 24 28 35
0 0 1 2 6 15 28 43 48 46 39 32 28 32 42 51 55 57 65 77 88 88 80 73 68 63 58 52 43 36 32 29 26 24 24 24 24 21 18 14 11 9 8 8 8 8 8 7 6 5 5 5 5 5 5 5 7 7 5 4 3 2 1 1 1 1 1 3 5 10 16 24 29 34 42 48 54 59 54 56 65 81 101 132 160 175 182 186 169 138 118 114 119 122 118 108 95 84 78 72 64 54 41 28 21 16 12 10 9 9 11 11 10 10 10 9 10 12 11 7 6 7 13 16 25 42 64 87 135 179 229 282 322 315 246 163 107 56 22 6 3 10 31 46 56 72 94 103 122 131 131 118 87 54 31 17 13 8 5 8 14 12
0 0 0 1 3 10 24 41 54 59 57 50 47 47 51 59 65 72 76 86 109 110 104 94 80 66 61 56 50 44 38 34 30 28 26 25 25 24 22 18 14 11 10 9 8 8 7 6 5 5 4 4 3 3 3 4 4 5 4 3 2 1 1 1 1 1 1 3 4 5 6 7 7 9 13 18 24 39 42 44 50 63 81 111 137 158 170 161 141 122 112 111 115 107 92 77 65 58 54 49 44 39 34 27 21 16 12 9 8 9 8 7 8 7 7 7 7 9 8 6 4 4 5 8 9 14 32 58 94 126 161 219 264 308 275 162 95 58 26 9 6 9 17 29 40 49 69 81 88 87 76 60 41 23 9 0 2 2 1 1 4 2
0 0 0 1 2 7 20 41 64 80 76 64 52 45 42 45 50 59 74 95 114 119 121 113 94 76 70 63 55 46 41 38 34 31 29 26 25 25 24 21 18 15 13 11 9 8 7 7 6 6 5 3 3 2 2 3 3 3 3 3 2 2 2 1 1 2 2 3 3 3 4 4 4 5 5 6 7 17 25 32 40 51 62 77 94 110 111 94 86 87 93 101 106 94 74 60 43 30 20 14 13 13 15 17 17 14 10 7 7 8 8 7 6 6 6 6 5 6 4 3 2 2 2 2 4 5 13 32 58 89 127 175 190 213 225 138 67 35 20 8 7 8 11 19 34 46 61 63 56 47 33 19 10 5 3 3 1 0 0 0 0 0
0 0 0 0 1 6 20 45 74 86 82 69 54 42 36 37 38 44 57 76 91 103 114 119 115 102 90 76 63 54 48 42 38 35 32 29 28 27 26 25 23 20 17 14 12 10 9 9 8 7 6 5 4 3 2 3 3 3 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 8 13 19 32 43 50 57 69 91 60 39 33 42 57 78 89 87 79 72 38 15 3 0 1 1 3 7 11 12 9 6 6 7 7 6 6 6 7 7 6 6 5 3 2 3 2 1 1 1 4 13 31 60 111 170 171 122 109 88 44 15 11 7 7 8 10 16 28 39 49 51 43 32 19 7 0 0 1 1 0 0 0 0 0 0
1 0 1 1 3 6 18 43 74 82 85 76 60 42 31 27 30 35 42 54 68 80 92 101 102 103 101 92 75 59 52 47 44 40 37 34 31 30 29 28 26 23 20 17 15 13 11 10 10 9 8 7 6 5 4 4 4 5 5 5 5 5 5 4 5 4 4 3 3 3 2 2 2 2 3 4 4 5 6 8 26 39 50 57 60 85 59 27 6 10 20 44 67 80 79 83 50 18 1 0 1 0 1 2 5 7 6 4 3 5 6 5 4 5 6 7 7 6 6 5 4 3 2 2 1 1 2 7 22 51 91 136 150 92 60 65 58 25 8 5 5 5 5 8 15 23 28 30 25 19 11 3 0 0 0 0 0 0 0 0 0 0
5 4 4 6 8 9 15 26 42 63 75 74 62 47 26 22 23 26 29 38 51 64 73 80 83 82 77 74 71 61 56 54 54 51 47 41 38 35 31 31 30 28 25 22 18 15 14 13 13 12 10 9 7 7 6 6 6 6 6 7 7 7 6 5 5 5 5 4 3 3 3 3 2 2 3 3 4 4 5 5 19 39 60 73 75 84 72 41 2 1 3 15 32 50 59 64 50 25 0 0 1 1 0 0 0 1 1 1 1 3 4 3 2 2 3 4 4 5 5 6 5 4 3 2 3 3 4 9 23 43 65 86 97 91 86 89 86 44 12 1 1 1 0 1 4 7 11 10 4 1 0 0 0 0 0 0 0 0 0 0 0 0
10 9 8 10 12 14 16 19 21 35 46 52 53 35 15 9 11 15 17 25 37 48 58 66 72 73 71 66 58 53 48 47 51 56 54 50 46 43 39 37 35 32 29 25 21 18 17 16 14 13 12 11 10 10 9 7 7 7 7 8 8 8 7 6 6 5 5 4 4 4 4 4 3 2 2 3 3 3 4 4 12 32 64 80 88 91 82 55 14 3 0 1 3 7 12 18 22 21 4 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 2 3 3 3 4 5 4 3 3 4 4 7 14 23 34 45 61 95 125 134 108 46 11 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
13 12 12 13 15 16 19 22 25 32 42 52 61 40 22 10 4 5 7 13 22 33 44 53 58 60 59 57 52 46 41 37 38 44 48 55 59 53 52 49 43 37 34 28 24 21 18 17 16 15 14 13 13 12 11 10 9 9 9 8 9 9 8 7 6 6 6 5 4 5 5 4 3 3 2 2 2 3 3 4 6 17 52 75 90 99 100 72 34 10 0 0 0 0 0 2 4 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 3 3 3 3 3 3 3 5 8 13 21 42 79 113 106 58 19 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
13 14 14 15 16 17 19 23 29 35 42 53 63 59 45 23 0 0 1 5 12 20 29 39 45 48 49 46 41 38 34 30 29 32 36 44 54 62 65 65 59 46 41 35 29 24 20 18 17 17 16 16 16 15 13 12 11 10 9 9 10 10 11 10 9 8 8 7 7 6 6 5 4 3 3 2 2 3 3 3 5 10 41 71 91 102 117 84 38 6 0 0 0 0 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 2 3 3 3 2 1 1 3 6 8 9 18 31 37 28 16 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
11 15 16 16 16 16 19 25 30 34 41 54 79 85 77 52 6 1 0 1 3 7 19 26 32 36 38 34 31 30 28 24 21 23 27 32 40 48 56 65 69 59 54 45 35 27 23 21 19 18 17 17 18 18 17 15 14 13 11 10 11 12 14 14 14 13 12 10 8 7 6 6 5 4 3 2 2 2 2 3 5 14 40 71 94 97 99 62 21 0 0 0 0 0 0 0 0 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 2 2 1 1 1 3 4 4 3 4 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
8 16 18 18 18 17 20 25 29 34 43 69 94 97 84 58 15 3 0 0 0 0 10 16 21 26 29 27 25 24 22 19 15 16 19 24 29 35 42 50 59 63 63 54 42 34 26 22 19 18 18 18 19 20 20 20 18 15 13 12 13 15 17 18 19 20 18 14 11 8 6 6 5 4 3 2 2 2 3 3 4 13 35 61 81 93 81 42 5 0 0 0 0 0 0 0 0 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 2 1 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 0 0 0 0 0 0 0 0
4 15 19 20 20 18 21 26 29 33 39 59 80 78 59 36 14 4 0 0 0 0 1 3 7 13 18 17 15 15 19 12 7 7 12 17 20 25 32 40 47 54 59 61 58 45 32 25 22 20 18 18 20 22 24 24 21 18 16 16 16 18 19 20 20 21 20 16 12 8 6 6 5 4 3 2 2 2 3 3 4 8 20 43 62 63 44 18 0 0 0 0 0 0 0 0 0 0 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 0 0 0 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
1 11 18 21 20 17 20 25 28 29 33 40 45 49 50 41 23 8 1 0 0 0 0 1 1 1 6 6 6 6 7 4 2 3 6 10 12 17 25 32 37 46 53 55 55 45 38 31 25 22 20 20 21 22 25 25 23 21 20 19 20 22 22 22 21 21 20 16 12 9 7 6 5 4 3 2 2 2 2 3 4 5 7 12 12 7 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 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 1 1 2 3 4 5 7
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