Vorticity
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nan 11 11 11 11 11 11 11 11 11 10 10 10 10 11 12 12 12 11 11 10 11 12 12 12 11 11 10 10 9 9 9 10 10 10 9 10 10 10 10 10 9 10 10 10 9 10 10 10 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 11 11 11 10 10 10 10 10 10 10 11 11 10 10 9 10 10 11 12 13 13 13 13 13 13 13 13 12 12 11 10 10 10 10 10 10 10 11 11 11 12 13 13 13 13 13 12 9 5 0 -2 -2 -2 0 3 6 9 10 12 14 16 18 20 21 22 22 22 21 20 18 16 15 15 14 13 nan
nan 11 11 11 11 11 11 11 11 10 10 10 10 11 11 12 11 11 10 10 10 10 11 11 11 11 11 11 10 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 12 11 10 10 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 13 14 14 14 14 14 14 14 14 14 13 12 11 11 11 11 11 11 11 11 11 11 11 12 11 11 12 13 13 11 8 4 2 0 -0 -1 -1 -1 0 2 3 4 6 9 12 16 18 20 21 22 23 24 23 22 21 20 18 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 10 10 10 11 11 11 10 10 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 10 10 9 9 9 9 10 10 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 10 10 10 11 11 11 12 12 12 12 12 12 11 11 11 11 11 12 12 13 13 14 14 15 14 14 14 13 13 13 13 14 14 14 13 13 12 12 12 12 12 12 12 12 11 11 10 10 11 11 12 13 12 11 10 9 8 6 5 2 -0 -2 -1 -1 -1 -0 2 5 10 13 15 17 18 21 22 22 22 22 22 21 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
17 16 14 13 12 11 10 8 8 9 11 14 22 35 43 49 50 47 40 34 28 24 21 20 20 22 23 26 30 33 35 36 35 32 28 25 21 19 16 13 9 8 6 5 5 5 4 3 4 4 2 1 0 0 0 0 0 0 0 3 5 7 8 9 9 9 8 9 12 16 18 12 8 5 4 4 6 9 13 17 22 29 26 26 51 87 117 132 203 271 335 393 442 479 513 530 534 535 543 557 584 655 799 998 1217 1100 1018 1007 1064 1133 1252 1250 1273 1237 1116 1044 1056 1067 1032 974 907 843 793 754 713 685 680 682 681 692 709 718 699 645 578 515 472 448 449 474 510 552 629 730 889 1041 1188 1342 1488 1574 1625 1714 1796 1823 1816 1758 1716 1670 1598 1509 1344 1207
16 15 14 13 11 10 10 10 11 12 15 22 34 46 50 49 45 38 31 25 21 18 18 19 18 20 21 23 27 29 29 31 33 32 29 26 24 21 19 16 12 9 8 6 5 5 4 4 4 4 3 2 1 0 0 0 0 0 0 2 3 4 5 7 8 9 9 11 15 17 15 11 9 7 5 4 6 9 11 14 17 26 25 24 29 35 41 92 171 250 331 413 460 500 540 574 597 606 612 614 641 708 826 979 1153 1178 1167 1174 1199 1161 1102 1145 1233 1220 1107 1060 993 957 931 907 859 796 732 677 637 615 610 619 620 621 630 623 595 530 450 375 321 290 277 294 332 384 463 547 687 854 1026 1186 1369 1483 1568 1644 1712 1691 1687 1678 1670 1646 1524 1378 1243 1134
16 15 14 13 12 12 11 13 15 19 26 37 45 49 47 42 34 27 21 17 15 14 15 16 16 18 19 20 24 29 28 26 27 29 29 27 25 23 21 19 16 13 9 6 5 5 5 4 4 4 3 2 1 0 0 0 0 0 0 1 1 2 3 6 8 10 10 10 14 17 15 12 9 9 7 7 7 9 11 13 16 21 23 21 17 16 24 77 152 226 295 397 456 514 572 618 652 675 689 700 736 816 927 1051 1169 1239 1266 1266 1233 1095 943 961 1088 857 715 791 851 829 795 805 794 749 699 661 622 583 554 544 548 559 560 540 499 433 353 282 228 197 190 205 237 288 371 460 576 726 896 1014 1191 1351 1474 1564 1614 1596 1587 1591 1609 1584 1458 1323 1202 1096
16 15 15 15 14 13 14 19 26 37 47 49 47 42 35 27 20 17 13 11 11 12 13 14 15 17 19 20 18 19 21 22 21 22 24 26 25 23 22 21 18 14 10 6 5 4 4 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 2 6 9 11 11 10 14 16 14 12 10 10 9 9 9 9 9 11 14 17 19 19 13 7 22 73 141 202 259 348 433 517 582 622 657 700 746 788 841 935 1046 1152 1240 1305 1331 1313 1211 1038 814 690 809 592 456 537 716 741 703 678 694 695 653 632 600 563 529 510 516 512 500 474 430 368 294 234 185 154 145 155 184 236 310 398 499 631 788 925 1075 1238 1415 1534 1593 1593 1574 1556 1556 1493 1381 1259 1149 1038
15 15 15 15 14 15 20 29 39 50 54 46 38 29 22 17 11 12 12 11 11 11 11 13 14 15 16 16 16 15 15 16 17 16 18 20 20 21 22 21 19 14 11 7 5 4 4 5 5 4 3 1 0 0 0 0 0 0 0 0 0 0 1 4 9 12 14 13 13 16 15 12 11 11 10 10 10 9 8 11 14 17 18 18 12 8 23 65 120 167 228 302 386 476 546 576 610 672 747 826 919 1025 1129 1211 1276 1336 1346 1298 1193 1029 830 649 604 551 545 646 819 837 703 593 557 571 574 563 542 508 465 440 456 459 447 419 373 310 244 190 146 117 108 122 155 206 272 351 442 571 720 866 1000 1146 1353 1514 1613 1650 1630 1576 1517 1423 1305 1189 1081 963
14 14 14 14 15 20 30 39 44 44 38 30 23 18 14 11 11 12 11 11 11 10 10 11 12 12 12 12 13 12 12 13 12 13 14 15 16 17 20 19 17 15 12 9 6 3 3 4 4 4 4 3 1 0 0 0 0 0 0 0 0 0 0 4 8 13 16 15 16 17 15 11 12 12 12 11 11 11 10 12 15 19 21 19 12 9 16 40 81 119 158 206 257 303 360 423 485 566 681 831 987 1112 1216 1275 1301 1323 1300 1301 1226 1045 853 726 667 659 701 791 911 945 777 585 486 464 480 486 479 449 385 349 384 404 394 368 321 264 203 153 118 97 96 114 148 195 250 315 409 532 664 787 900 1064 1271 1464 1608 1680 1651 1583 1489 1376 1251 1133 1014 899
13 13 13 15 18 28 39 43 39 32 22 17 14 13 12 11 11 11 11 11 10 10 9 10 10 10 12 11 11 11 11 11 10 10 11 12 13 13 17 17 16 14 12 11 7 4 3 2 3 4 4 3 2 1 0 0 0 0 0 0 0 0 0 3 7 11 15 13 12 11 9 9 11 13 14 14 13 12 12 13 15 19 23 20 11 5 7 22 51 72 95 124 150 163 215 256 300 391 528 713 990 1159 1241 1269 1281 1297 1280 1281 1242 1044 826 738 733 762 774 772 804 846 767 582 436 395 414 434 439 433 402 391 379 366 357 339 293 248 202 159 125 111 107 119 144 179 225 287 377 482 589 691 804 981 1192 1401 1588 1651 1641 1572 1466 1348 1223 1093 961 839
11 12 13 16 22 33 39 37 29 21 15 13 12 12 12 11 11 11 11 11 10 9 9 8 8 8 9 10 10 9 9 10 10 9 10 10 10 10 13 14 14 14 14 13 9 7 5 4 4 5 4 4 2 1 0 0 0 0 0 0 0 0 1 3 6 9 14 13 11 9 7 8 11 14 15 16 16 15 14 14 16 19 22 18 10 3 2 13 28 38 57 89 110 126 154 132 120 209 336 406 643 885 1014 1091 1144 1236 1298 1299 1228 1046 820 701 688 728 770 702 671 677 666 567 413 343 349 384 407 417 415 409 394 372 348 324 292 261 230 193 157 135 124 125 138 165 208 266 340 429 511 587 723 918 1160 1395 1557 1634 1633 1568 1451 1324 1192 1054 914 782
8 10 13 18 24 30 32 28 20 15 13 13 14 14 13 12 11 10 9 10 9 8 8 7 7 7 8 8 8 8 8 9 9 8 8 8 9 10 11 12 13 12 13 13 12 10 9 7 5 5 5 4 3 1 0 0 0 0 0 0 0 0 1 3 7 10 13 14 13 10 8 9 12 15 18 20 19 17 16 16 18 19 18 13 6 2 0 2 8 17 35 64 97 105 106 85 56 103 192 217 295 471 624 774 939 1113 1237 1267 1207 1112 943 781 688 653 709 662 602 567 541 482 384 320 306 324 346 368 381 386 383 366 332 316 300 273 232 214 181 154 138 132 138 162 198 243 296 389 470 555 682 886 1150 1382 1550 1632 1627 1558 1433 1295 1148 996 850 728
8 10 12 18 23 26 27 23 16 14 14 15 17 17 14 13 12 10 9 9 8 7 6 6 6 6 6 6 6 7 7 7 7 7 7 8 8 9 10 11 12 12 13 13 14 13 11 7 6 6 6 5 4 1 0 0 0 0 0 0 0 0 0 2 9 13 16 17 16 13 11 11 13 17 22 24 23 21 20 21 21 19 14 7 2 0 0 0 2 8 21 36 66 78 74 68 76 119 146 161 206 297 364 473 628 805 972 1123 1106 1081 1029 936 797 645 632 622 573 519 437 371 316 284 280 301 308 319 333 344 356 345 326 305 284 273 241 215 190 168 147 143 145 162 192 233 283 365 443 528 648 881 1126 1340 1510 1606 1592 1508 1387 1241 1080 916 774 649
10 9 11 15 18 20 20 16 13 13 14 15 16 17 15 14 12 10 9 7 7 6 5 5 6 5 6 6 6 6 6 6 6 7 7 7 8 9 10 10 11 11 12 13 14 15 13 11 9 8 7 7 4 2 0 0 0 0 0 0 0 0 0 2 10 18 24 26 23 17 14 12 13 18 24 28 27 26 27 29 28 22 12 3 0 0 1 3 8 17 25 28 38 48 54 59 78 103 93 59 80 167 240 295 358 454 608 838 892 878 880 868 738 588 500 479 479 457 373 290 230 205 228 279 309 319 313 309 323 324 313 295 280 269 243 215 195 187 163 154 155 167 189 227 280 347 427 525 645 861 1077 1273 1430 1516 1506 1434 1314 1162 982 822 678 553
9 9 10 12 15 16 15 11 11 11 13 13 14 15 14 12 11 9 7 6 5 5 5 5 5 4 4 5 5 5 5 4 5 6 6 6 7 7 7 9 10 10 10 11 13 13 14 13 12 10 9 9 6 3 1 0 0 0 0 0 0 0 1 3 10 21 31 32 28 22 16 12 13 20 24 27 29 34 39 40 37 27 13 1 1 2 4 10 21 41 32 21 18 23 32 35 45 53 48 32 35 150 257 324 342 350 429 563 652 675 686 672 586 470 372 305 311 328 307 255 187 129 139 202 278 327 320 304 302 302 293 280 261 243 228 213 191 187 173 163 161 169 188 222 267 325 403 531 661 819 994 1175 1316 1389 1396 1335 1210 1043 871 715 573 454
6 8 9 11 13 14 12 10 10 11 14 16 14 13 11 10 8 6 5 5 4 4 4 4 4 3 3 4 4 4 4 3 4 4 4 5 5 5 6 8 10 10 10 10 11 13 14 15 14 13 12 11 9 6 3 1 0 0 1 1 0 0 1 3 10 21 35 35 32 27 20 15 16 23 28 32 38 48 53 53 48 35 17 3 2 5 11 20 38 47 33 14 6 4 7 11 15 16 13 9 23 117 230 321 460 494 527 533 518 527 564 567 522 436 341 240 209 214 228 231 183 134 130 178 266 331 315 293 279 272 263 254 240 226 214 202 178 176 173 167 163 167 190 222 260 311 410 535 650 764 902 1057 1174 1248 1266 1215 1085 925 761 604 469 369
5 7 8 10 12 12 10 9 9 11 15 14 11 10 8 7 6 4 4 3 3 3 3 3 2 2 2 3 3 3 3 3 2 2 3 4 5 6 7 8 10 10 10 10 12 13 16 17 17 15 14 13 12 9 5 3 1 1 1 2 0 1 1 2 8 22 39 44 42 35 27 22 25 30 37 44 52 61 66 66 60 47 28 16 14 18 26 37 58 59 46 29 17 6 3 2 3 3 1 1 6 32 77 118 262 390 477 470 373 382 428 476 491 429 369 282 223 189 166 177 151 134 132 148 195 220 229 235 235 230 225 218 202 182 182 169 162 158 156 174 160 166 189 224 262 326 432 541 636 718 834 951 1047 1111 1128 1065 939 791 635 487 374 303
5 7 8 10 11 10 9 8 7 8 10 10 9 8 6 5 4 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3 3 4 4 6 8 9 9 10 12 13 12 12 14 15 17 19 17 15 13 13 12 10 7 4 3 2 1 2 1 1 1 1 4 23 42 52 53 47 36 31 31 35 42 52 61 72 80 83 75 51 34 26 24 27 30 58 79 81 69 55 34 17 6 2 2 2 2 2 1 2 7 18 56 112 205 313 285 270 282 308 334 307 305 287 265 251 189 153 121 103 98 73 71 82 108 147 171 170 167 167 166 132 132 133 138 134 109 134 147 159 179 223 271 341 432 526 606 684 778 869 943 985 974 903 788 648 510 386 304 253
5 6 8 10 11 9 8 7 6 6 6 7 7 6 5 4 3 3 3 3 2 2 2 1 1 1 2 4 6 6 7 7 8 9 10 12 14 15 14 14 16 17 17 16 16 17 19 20 20 16 14 13 12 10 7 6 4 3 2 2 1 0 0 2 6 25 50 66 67 59 50 42 37 37 45 60 74 86 95 97 86 63 45 36 31 28 21 46 78 98 84 56 40 25 12 2 1 2 2 2 2 2 1 2 5 8 16 87 142 177 192 179 182 180 193 216 252 298 248 184 126 84 93 54 28 23 44 86 112 121 119 114 136 113 105 104 102 106 94 107 129 159 176 224 281 349 427 509 573 651 734 812 871 872 827 747 639 508 399 314 258 223
5 6 9 11 10 9 7 6 5 5 5 6 6 5 3 3 2 2 2 2 2 2 1 1 1 2 5 9 13 16 17 18 18 19 20 21 22 22 19 18 19 21 21 21 22 22 23 24 23 20 19 17 14 10 8 6 6 5 3 2 1 1 1 1 4 23 59 89 86 78 71 64 58 55 63 74 86 95 99 98 87 76 65 56 51 44 30 29 57 114 98 80 58 39 32 11 3 1 1 2 1 1 1 1 0 0 0 13 50 94 123 127 129 129 132 146 208 274 300 273 177 89 90 75 54 32 21 44 61 82 101 75 86 91 89 80 73 78 75 76 98 155 183 226 280 349 425 492 556 628 706 772 800 767 694 598 490 384 314 260 220 195
5 8 10 11 9 7 6 5 4 4 4 4 4 3 3 2 2 2 1 1 1 1 1 1 3 7 13 19 24 27 28 27 27 27 27 27 28 25 20 17 17 19 21 22 25 28 30 28 29 27 25 24 20 14 10 7 6 5 4 2 1 1 1 1 6 29 70 113 120 115 111 105 97 89 87 88 92 95 90 78 78 86 94 92 93 87 68 46 41 117 138 130 101 67 76 46 18 2 2 4 3 3 3 4 3 2 2 7 22 52 86 94 88 86 95 101 136 184 257 332 253 174 124 90 75 83 49 23 14 32 86 72 66 66 67 61 62 62 59 57 74 130 179 225 272 339 412 477 537 599 675 714 703 645 553 463 379 309 254 211 182 167
8 11 11 9 7 5 4 4 3 3 3 4 3 3 3 2 1 1 1 1 0 0 1 3 10 17 25 30 31 29 28 27 26 26 26 24 22 20 18 15 14 15 18 20 24 29 34 34 35 35 34 31 27 21 15 11 8 8 6 4 2 2 3 5 16 49 96 139 160 164 159 148 134 121 110 102 98 95 84 75 84 103 119 127 135 140 130 103 78 131 169 183 167 118 113 83 40 4 3 9 16 24 30 28 22 17 11 9 17 40 59 64 60 53 57 58 66 93 157 298 301 261 198 126 88 89 76 46 4 1 48 68 63 41 36 40 42 50 63 61 83 122 174 231 273 332 392 455 518 575 628 638 598 518 416 345 279 226 190 161 144 139
12 12 10 7 4 3 3 3 2 3 4 3 3 2 2 1 1 1 1 0 0 0 2 9 21 32 36 34 30 26 24 23 24 24 25 25 23 20 17 14 14 13 15 17 22 28 34 37 39 41 41 39 34 28 23 20 18 17 16 14 12 10 13 17 39 75 118 158 180 187 183 174 159 142 128 115 107 98 89 91 107 129 142 153 163 179 191 173 157 160 183 206 210 172 141 105 66 29 22 28 36 41 35 21 17 15 12 12 30 42 46 63 88 48 34 27 28 44 93 184 242 262 240 166 114 89 85 81 22 11 25 47 63 38 33 29 24 27 67 69 86 118 165 224 263 306 363 427 486 530 553 531 460 371 294 247 206 162 137 117 106 102
14 10 6 4 3 2 2 2 3 3 3 3 2 2 1 1 1 2 2 0 0 0 4 16 33 40 39 35 30 26 24 23 23 22 23 24 24 23 20 16 14 14 15 17 21 28 33 37 42 47 49 48 45 41 37 36 35 34 34 34 34 35 39 43 54 80 117 154 173 178 180 177 165 149 129 111 102 95 89 96 117 141 162 177 191 210 230 224 222 237 253 252 240 213 177 139 107 86 77 62 46 39 31 26 17 9 5 8 25 32 28 13 14 19 19 17 15 20 48 88 132 165 182 148 117 89 67 76 44 25 18 20 31 28 32 28 11 5 12 28 47 72 112 163 219 280 343 397 434 451 441 396 314 240 184 150 130 106 89 78 71 68
11 6 4 2 2 2 2 3 3 3 3 2 2 2 3 4 5 6 5 1 0 1 6 20 37 43 41 37 32 28 24 22 22 23 23 24 24 24 22 17 15 13 13 16 21 28 35 42 49 55 59 58 56 53 52 52 52 52 53 55 55 57 56 55 57 72 97 129 152 163 170 171 159 141 125 111 104 96 93 102 125 154 173 181 189 206 218 211 200 203 228 227 219 212 202 185 156 138 110 74 51 39 32 44 43 17 8 14 34 40 16 8 9 10 12 13 11 14 23 33 47 62 78 78 69 53 35 37 36 31 22 15 11 12 21 29 8 2 1 4 10 18 46 89 146 213 284 337 363 365 343 293 220 157 111 82 64 56 52 48 44 40
5 3 2 2 3 4 4 4 4 4 4 4 5 6 8 9 9 10 8 5 3 5 12 33 46 48 44 38 32 27 24 22 20 19 21 23 23 21 19 15 13 11 11 12 16 23 33 46 61 71 75 74 69 64 67 68 68 66 64 63 61 61 57 44 32 40 53 76 104 128 136 131 119 107 98 95 94 88 88 99 126 155 160 149 137 133 127 119 115 114 111 105 115 130 140 138 141 141 113 68 65 53 31 25 34 18 12 18 26 22 9 7 7 9 11 11 10 9 9 11 16 18 20 20 16 11 7 10 18 26 24 18 11 5 5 15 9 4 1 1 2 4 11 29 64 116 178 224 237 228 230 200 151 103 69 50 37 30 27 26 23 20
2 1 2 3 5 6 6 6 6 6 8 11 14 17 19 20 19 19 17 15 13 14 19 47 53 50 44 36 28 24 21 18 15 16 20 22 23 21 18 14 11 8 7 9 11 14 23 39 63 81 89 89 83 77 80 80 77 69 59 52 43 30 17 7 5 9 15 27 45 67 73 68 58 50 47 54 59 64 71 86 109 120 113 89 67 51 37 35 46 51 45 32 36 54 65 68 77 89 89 64 61 55 39 21 26 20 13 13 16 11 8 7 7 8 10 10 9 9 9 8 7 6 4 2 0 0 0 0 4 13 16 17 14 6 2 9 33 39 15 3 3 6 9 11 28 59 105 144 158 155 144 125 96 63 42 30 23 16 11 9 11 12
0 1 4 5 6 7 6 6 6 9 14 23 30 38 43 46 42 41 40 42 46 45 37 43 46 46 44 37 28 22 19 16 15 17 19 21 22 21 19 16 13 10 8 7 8 9 13 22 44 66 78 82 84 82 81 78 67 48 29 18 11 6 5 4 4 3 3 6 9 14 17 18 14 8 10 18 27 37 48 67 84 86 70 44 25 13 6 4 7 12 17 19 19 23 26 29 38 46 49 46 41 37 32 23 18 13 10 9 11 10 11 10 8 8 8 8 9 9 9 8 6 5 3 1 0 0 0 0 0 4 6 11 14 10 16 42 105 165 75 27 9 10 18 19 33 48 74 118 131 126 111 89 62 35 19 11 7 3 1 1 3 6
8 10 11 11 8 6 4 4 7 14 28 45 62 72 78 80 70 63 66 76 89 90 74 62 53 47 44 38 29 21 17 15 15 17 18 20 21 21 21 19 16 13 11 8 7 8 9 12 20 25 31 40 39 42 48 47 40 22 12 9 7 5 3 2 2 2 2 3 3 3 3 4 4 5 4 6 11 18 30 48 59 59 47 28 13 4 0 0 1 1 6 13 14 9 8 7 8 12 18 22 24 23 20 16 11 6 4 5 6 6 8 9 8 8 7 8 9 9 8 6 5 5 5 3 2 1 0 0 0 0 1 2 7 11 29 78 150 181 103 48 21 12 11 20 49 72 85 124 127 126 112 75 44 20 6 0 0 0 0 0 0 1
33 30 22 13 7 6 5 6 16 36 61 83 98 100 94 91 86 85 81 89 117 118 107 87 64 49 45 39 32 25 19 17 17 18 18 19 20 21 21 20 19 16 13 11 9 9 9 10 11 12 11 10 10 11 12 13 16 11 8 6 5 4 3 3 3 3 3 4 4 5 5 5 4 4 4 3 4 8 18 28 34 34 29 21 11 4 0 0 1 0 2 5 5 2 0 0 0 2 3 6 9 11 10 9 6 4 3 2 4 5 5 6 6 6 6 7 8 9 9 7 6 7 7 7 5 3 2 0 0 0 0 0 1 4 20 60 122 125 80 41 26 15 9 6 28 71 103 153 159 129 99 61 34 15 3 0 0 0 0 0 0 0
43 30 18 9 6 11 10 22 51 90 106 112 107 93 79 73 76 79 86 97 113 116 114 99 72 56 50 42 33 24 21 19 20 20 19 19 20 21 22 23 22 19 16 13 12 11 10 9 8 7 7 7 6 6 8 9 9 9 8 6 4 4 5 5 5 6 6 6 6 6 6 6 4 4 3 3 2 4 7 9 11 13 15 14 9 4 0 0 0 0 0 1 1 0 0 0 0 0 0 1 1 2 2 3 3 3 3 2 3 4 5 5 6 6 6 6 7 7 8 8 6 7 7 8 7 5 4 2 0 0 0 0 0 0 5 24 49 64 57 33 26 20 16 12 8 23 47 99 137 114 79 44 21 8 1 0 0 0 0 0 0 0
26 17 10 5 5 11 17 43 83 110 115 115 106 91 77 72 69 68 71 75 83 92 99 100 94 81 68 53 39 28 26 25 24 23 22 22 22 23 23 23 21 20 18 16 14 13 11 10 9 8 6 6 6 6 7 7 9 9 9 9 8 8 8 8 8 9 9 9 8 6 5 5 4 3 3 2 2 2 2 3 2 5 8 10 9 6 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 3 5 6 6 6 6 6 6 6 5 5 6 6 6 5 5 4 4 5 5 2 1 0 0 0 0 0 5 12 24 37 38 45 36 22 20 15 7 6 19 35 35 29 16 5 2 0 0 0 0 0 0 0 0
8 7 5 4 5 5 17 44 82 95 107 112 107 91 71 66 62 59 57 60 68 75 82 87 89 89 88 79 63 49 43 37 32 29 26 24 24 24 25 26 24 22 20 18 16 15 14 13 12 11 9 8 7 7 7 6 8 9 10 10 10 10 10 9 9 10 10 8 7 5 4 4 4 3 3 2 2 2 2 2 1 4 7 10 12 9 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 4 4 4 4 4 5 5 5 4 4 5 5 5 5 4 3 4 5 3 1 0 0 0 0 0 0 4 15 33 50 67 67 40 30 29 18 5 0 1 1 2 2 0 0 0 0 0 0 0 0 0 0
5 4 3 4 4 4 8 20 40 67 82 87 90 104 79 68 60 52 45 46 52 61 69 74 75 73 72 72 71 65 59 53 48 43 38 32 28 28 27 29 28 27 24 22 18 16 16 15 15 13 11 9 9 8 7 7 8 9 11 11 11 10 10 10 9 8 7 6 6 5 4 4 4 3 2 2 2 2 2 2 2 3 6 9 14 16 13 8 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 3 3 3 3 3 3 3 4 4 4 5 4 3 3 3 3 2 1 0 0 0 0 0 2 10 23 32 40 47 39 33 37 36 18 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0
6 5 4 3 3 4 5 8 14 27 29 28 36 65 58 57 56 49 40 39 43 49 57 64 68 68 66 64 61 58 55 54 55 56 50 42 37 35 33 33 32 29 26 23 20 18 16 15 14 13 12 11 10 9 8 8 9 9 8 9 10 10 10 9 8 7 6 5 5 4 4 4 4 3 3 2 2 2 2 2 2 3 4 8 13 14 15 14 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 1 2 2 3 3 3 2 2 2 2 2 2 2 1 1 2 1 0 0 0 0 0 0 0 3 6 8 9 11 14 22 32 38 28 12 3 1 0 0 0 0 0 0 0 0 0 0 0 0
8 7 6 5 4 4 6 10 17 25 32 39 46 53 58 59 52 33 29 30 34 40 45 54 59 60 59 58 55 51 47 44 43 45 46 50 53 47 45 43 38 32 27 24 21 19 17 16 14 13 13 13 12 11 10 9 9 8 9 9 9 10 9 9 8 7 6 4 4 4 4 4 3 3 3 3 2 2 2 2 3 4 3 6 8 10 10 11 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 1 1 2 4 3 3 2 2 2 3 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 3 7 15 18 18 13 5 1 0 0 0 0 0 0 0 0 0 0 0 0
7 9 10 9 7 7 10 15 21 26 32 45 75 89 85 70 46 19 13 14 21 29 32 39 46 51 53 52 50 45 41 36 32 33 36 42 50 57 59 58 52 39 32 27 23 20 19 16 15 14 14 15 14 12 11 11 10 9 9 9 10 10 11 10 10 9 7 5 4 4 4 3 3 3 2 2 2 2 2 2 3 3 3 4 5 6 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 1 1 2 2 2 1 1 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
6 9 12 12 12 13 17 20 22 24 31 50 101 122 121 97 50 23 9 5 7 11 24 30 35 41 45 44 42 39 34 29 24 24 27 32 37 43 50 58 61 50 45 35 26 22 21 19 16 15 14 15 15 14 13 13 12 11 11 10 11 12 13 13 13 12 10 7 4 3 3 3 3 2 2 1 1 2 2 3 3 3 3 3 4 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 1 2 3 3 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0
4 7 11 14 16 17 18 20 21 23 33 62 98 118 119 99 50 24 10 3 1 1 15 23 27 31 35 34 33 31 28 23 19 18 20 22 26 32 37 43 50 53 52 42 30 25 22 19 16 14 13 13 14 15 16 17 15 13 12 11 12 14 15 16 16 15 14 9 5 3 2 3 2 2 1 1 2 2 2 2 2 2 2 3 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 0 0 0 0 0 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0
1 3 9 15 19 20 20 21 22 23 26 45 73 87 88 78 56 32 14 3 1 0 1 4 8 15 21 20 18 17 21 15 10 8 11 17 18 22 28 34 40 45 47 47 44 35 25 20 17 14 13 13 14 16 17 17 16 14 14 13 13 15 17 19 19 19 15 10 6 3 3 3 3 2 2 1 2 2 2 2 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 14 20 22 20 20 19 17 17 24 40 60 78 86 76 47 20 7 2 1 1 1 1 1 6 7 6 6 7 4 3 3 7 11 12 15 19 25 30 36 40 42 42 36 30 25 19 15 14 14 15 15 17 17 17 17 17 16 16 18 19 20 21 20 16 11 8 5 4 4 4 3 2 2 2 2 2 1 1 1 1 2 2 2 1 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 0 0 1
0 1 5 14 23 24 20 17 15 15 18 30 54 81 101 112 103 72 35 14 5 2 1 0 0 1 2 3 4 4 3 3 3 3 2 2 4 7 10 13 11 19 30 36 40 37 34 29 20 17 16 16 17 17 18 19 19 20 21 20 20 20 20 19 20 19 17 13 10 8 6 5 4 3 2 2 2 2 2 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 5 14 31 30 25 21 18 19 23 37 61 90 120 153 143 104 58 24 8 2 1 1 1 1 1 2 3 2 2 1 1 1 2 2 3 3 5 6 7 10 15 20 23 21 20 23 21 20 19 19 20 20 21 21 22 23 24 23 23 22 20 19 20 20 18 15 12 10 8 6 4 3 3 3 3 3 3 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5
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