Vorticity
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nan 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 11 11 12 11 11 11 10 9 7 7 7 8 9 8 7 7 7 9 11 11 11 11 11 11 12 12 12 12 11 11 10 10 11 11 11 11 11 11 11 11 11 10 10 9 9 9 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 10 10 10 10 11 13 14 14 14 14 14 14 14 14 14 14 13 12 11 10 9 9 9 9 8 8 9 9 9 10 10 10 10 9 8 6 3 0 -0 1 3 5 7 8 10 11 13 13 14 14 14 14 13 13 12 12 11 11 11 11 10 10 10 9 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 11 11 11 10 10 10 9 8 7 7 7 7 8 8 8 8 9 9 10 10 10 10 10 11 11 10 11 11 10 10 10 10 11 11 11 10 10 10 11 11 11 10 10 9 9 9 9 9 9 8 8 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 10 10 10 11 13 13 14 14 13 12 12 12 13 13 12 12 11 11 10 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 8 7 4 2 1 2 2 4 5 6 9 10 11 12 13 13 14 14 14 13 12 12 11 10 9 8 8 7 7 nan
nan 10 10 10 10 10 10 10 9 9 10 10 10 11 12 11 11 10 10 10 11 11 11 10 11 11 10 9 8 8 7 7 8 8 8 8 8 8 9 8 8 9 9 9 10 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 12 12 13 13 12 12 11 11 12 12 12 12 11 11 10 10 9 9 9 9 9 8 8 9 9 9 9 8 8 9 9 10 9 8 6 5 4 3 3 3 5 7 8 9 10 11 12 13 14 14 13 13 12 10 9 7 5 4 4 nan
nan 10 10 10 10 10 10 10 10 10 10 10 11 11 12 11 11 10 10 10 11 11 11 11 11 11 11 10 9 9 8 8 8 8 9 9 9 9 9 9 8 8 9 9 9 9 9 8 9 9 10 11 11 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 10 10 11 11 11 12 12 12 11 11 11 11 11 12 12 12 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 11 12 13 13 12 11 9 7 6 5 5 5 6 6 7 8 9 12 13 14 15 14 13 12 10 9 7 6 4 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
10 9 7 10 15 20 22 22 22 22 22 23 26 31 36 37 36 36 37 34 29 26 24 23 23 23 23 24 26 29 33 36 36 31 25 25 25 26 23 19 15 11 7 4 2 1 0 0 0 0 0 0 0 0 0 0 1 3 6 8 6 4 5 9 15 17 18 28 42 56 58 25 12 38 110 224 315 383 366 268 144 68 46 46 42 58 111 199 89 82 146 222 279 271 484 744 884 916 952 1381 1606 1850 1907 1801 1723 1736 1685 1590 1509 1510 1478 1490 1539 1594 1614 1572 1575 1536 1486 1445 1403 1375 1331 1308 1287 1290 1347 1338 1365 1393 1404 1384 1352 1366 1302 1258 1270 1238 1248 1166 1197 1280 1309 1344 1344 1330 1327 1365 1465 1588 1690 1736 1717 1651 1596 1581 1559 1515 1442 1344 1212 1117
8 7 7 9 13 16 19 20 22 22 22 23 25 29 31 32 33 33 32 28 26 24 23 22 20 20 20 20 20 23 29 35 38 36 31 26 24 28 29 25 19 14 9 6 3 2 1 0 0 0 0 0 0 0 0 0 0 1 4 6 5 3 4 8 16 21 25 39 60 74 76 58 50 57 93 207 316 391 399 322 179 101 88 91 80 57 56 61 42 31 32 39 80 140 265 386 478 522 493 715 961 1257 1532 1653 1603 1594 1549 1432 1255 1259 1267 1315 1396 1476 1522 1550 1520 1448 1385 1369 1329 1315 1328 1329 1291 1261 1273 1300 1337 1357 1344 1278 1229 1234 1230 1216 1167 1053 1063 1033 1014 1066 1124 1158 1172 1183 1199 1232 1359 1486 1568 1584 1531 1450 1439 1457 1473 1457 1400 1314 1194 1071
7 8 8 10 12 15 19 22 23 22 20 21 24 25 26 27 28 29 28 25 23 22 20 19 18 17 17 17 17 18 23 31 37 39 36 31 27 29 31 28 23 17 12 7 4 2 1 1 0 0 0 0 0 0 0 0 0 0 2 3 3 3 4 10 19 25 29 41 74 91 94 93 108 145 179 254 322 387 430 415 311 248 229 225 213 176 150 115 69 43 51 26 22 32 60 113 192 283 359 491 543 532 784 1050 1249 1362 1380 1310 1196 1160 1136 1156 1226 1285 1354 1415 1438 1389 1291 1255 1251 1276 1312 1313 1257 1226 1196 1215 1259 1258 1244 1196 1171 1145 1075 1021 1022 905 865 879 884 915 924 955 992 1026 1086 1162 1290 1404 1473 1490 1411 1369 1392 1426 1449 1408 1331 1229 1103 969
6 7 9 11 14 19 22 23 23 21 19 20 22 22 22 23 23 23 23 22 21 20 18 17 16 15 15 15 16 16 19 25 32 36 36 35 31 30 32 32 27 21 15 9 4 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 2 4 12 22 31 38 49 82 102 107 109 135 210 285 344 366 379 411 427 412 396 378 368 370 364 332 285 221 166 181 129 68 31 26 20 31 91 144 199 241 217 375 635 905 1095 1176 1180 1165 1151 1106 1043 1043 1081 1183 1317 1357 1278 1177 1164 1213 1254 1257 1278 1250 1197 1150 1134 1150 1140 1149 1102 1040 1005 954 826 834 795 735 727 727 722 752 801 854 905 998 1115 1236 1336 1408 1420 1401 1401 1401 1392 1382 1317 1220 1100 967 831
4 5 9 13 17 20 23 24 24 24 22 21 21 20 20 20 20 20 20 19 19 18 18 16 15 15 15 13 14 14 16 21 26 31 33 34 33 31 31 32 30 25 18 12 5 1 1 2 2 1 1 0 0 0 0 0 0 1 0 0 0 2 5 12 22 33 44 57 80 105 118 124 143 217 309 375 405 410 418 434 450 454 450 453 466 484 487 472 429 350 317 264 195 148 150 110 70 37 19 48 147 151 269 483 692 854 951 993 999 1012 1025 959 917 930 986 1041 1060 1039 1071 1097 1119 1144 1168 1175 1166 1148 1117 1093 1089 1041 1042 1015 926 849 836 751 687 652 611 593 587 600 646 711 776 867 974 1080 1175 1266 1326 1343 1350 1358 1352 1317 1267 1186 1080 959 824 706
5 7 10 14 18 20 23 25 25 25 22 20 19 18 18 19 19 18 18 17 17 17 16 16 15 15 14 12 14 14 15 18 22 26 28 32 33 33 32 32 31 28 22 15 7 2 0 1 1 2 1 0 0 0 0 0 0 1 1 0 0 2 6 12 21 34 46 61 86 113 134 146 164 218 301 368 404 443 457 457 465 471 466 470 475 479 489 502 489 402 355 338 314 268 273 247 181 97 22 4 20 62 197 353 471 606 678 740 752 755 849 879 846 841 865 884 915 936 978 1003 1010 1031 1058 1045 1045 1067 1062 992 1030 968 915 921 902 800 753 692 611 545 503 483 490 527 585 649 734 843 953 1047 1121 1198 1247 1270 1281 1293 1270 1226 1156 1060 941 811 687 583
6 8 11 16 20 21 23 24 23 21 18 17 17 17 16 16 16 16 16 16 15 15 14 14 14 14 13 12 13 14 15 17 19 21 25 30 34 33 34 35 34 32 27 18 9 3 1 0 0 1 0 0 0 0 0 0 0 1 1 1 1 3 7 13 21 33 45 58 88 124 153 175 198 231 296 373 421 457 478 477 467 457 443 436 427 425 438 461 429 331 272 249 239 246 242 219 173 107 38 6 2 4 64 181 288 435 466 462 491 544 696 790 798 779 782 773 821 832 834 857 883 873 945 929 885 900 918 815 855 916 879 831 828 756 672 590 514 453 427 422 429 451 514 597 703 817 923 1015 1072 1126 1165 1190 1220 1212 1189 1137 1053 942 807 674 558 464
6 9 13 16 19 20 20 19 19 18 17 16 16 16 15 15 15 15 15 14 14 13 12 12 12 12 11 11 11 12 13 16 17 19 23 29 34 32 33 33 33 33 30 20 11 4 1 0 0 0 0 0 0 0 0 0 0 0 1 3 4 7 12 19 26 34 45 61 86 122 161 187 224 262 311 378 432 473 494 492 468 439 420 406 391 382 386 396 358 288 237 213 199 177 166 143 115 90 58 16 1 2 12 52 149 312 393 374 370 423 584 701 739 714 647 625 682 710 700 718 739 692 709 773 812 776 884 883 842 870 888 802 755 700 615 501 439 394 374 375 390 398 461 553 668 798 897 959 998 1034 1079 1110 1131 1128 1102 1050 951 813 669 541 435 356
7 10 12 14 16 17 16 15 15 16 17 17 17 16 14 14 15 15 15 14 13 12 11 10 10 10 10 9 9 10 11 14 16 18 21 25 32 34 33 32 32 34 33 23 14 6 1 0 0 0 0 0 0 0 0 1 2 4 5 9 13 16 20 25 31 41 51 67 89 121 165 183 219 269 324 386 414 459 492 498 475 445 423 404 383 365 357 341 308 268 232 208 173 155 145 134 117 100 79 43 16 9 7 22 78 196 315 376 402 419 523 637 691 694 673 642 632 636 621 598 586 570 599 683 801 757 795 844 855 866 887 831 755 677 614 472 406 369 344 324 346 377 437 525 627 769 850 888 907 935 995 1041 1066 1051 1005 948 824 678 537 420 324 262
10 13 13 14 15 15 14 14 13 15 15 16 16 16 14 15 16 16 15 14 13 11 9 8 8 8 8 8 9 9 10 12 15 18 21 25 32 36 35 33 31 35 34 28 18 8 2 0 0 0 0 0 0 0 0 1 3 6 11 16 20 25 29 31 35 41 48 56 69 99 161 186 212 260 323 393 424 448 470 482 466 455 445 430 408 380 359 325 282 244 226 225 205 192 179 163 144 121 103 81 53 35 24 28 61 128 229 344 412 449 503 584 650 659 691 691 654 600 589 543 521 544 582 594 665 677 705 761 816 815 816 806 765 632 578 479 396 347 330 297 295 334 409 511 617 726 789 817 834 871 931 976 990 959 892 800 672 531 404 313 238 184
17 17 16 15 14 13 12 12 12 13 14 14 14 15 15 15 16 15 14 13 11 9 8 8 8 8 8 8 8 8 10 12 14 18 22 26 32 34 35 34 30 33 35 31 22 12 5 2 0 0 0 0 0 0 0 0 2 4 13 19 25 31 35 34 35 37 37 34 37 76 136 188 233 285 369 450 477 473 464 475 464 465 468 463 442 401 372 335 293 259 242 254 262 259 244 216 192 161 131 100 68 47 32 32 52 96 170 258 336 400 455 502 578 602 622 650 668 578 557 538 526 541 567 530 537 591 665 679 768 753 710 678 717 602 527 458 389 323 304 280 275 308 387 490 593 680 738 773 803 849 898 930 925 850 761 649 525 406 297 227 171 131
20 19 17 16 14 12 11 10 10 11 11 11 11 13 14 14 14 14 12 11 9 8 7 7 7 8 8 9 9 9 10 11 13 16 20 25 29 34 37 35 32 32 34 32 24 15 9 4 1 0 0 0 0 0 0 0 0 4 11 19 25 27 28 26 24 20 15 12 20 61 122 189 254 313 387 455 500 515 478 468 453 449 456 463 458 423 386 353 327 317 295 289 291 297 293 269 243 215 184 142 73 51 40 35 47 93 148 205 267 336 416 446 499 531 542 556 621 557 512 507 528 523 504 468 461 532 707 663 685 723 733 629 639 570 493 430 387 322 284 264 269 308 387 474 559 633 692 741 784 831 867 871 820 726 619 505 392 290 213 162 123 95
17 18 17 15 13 12 10 9 9 9 10 11 11 11 11 11 11 10 9 8 7 6 5 5 5 6 7 8 9 10 10 10 11 13 16 19 23 29 35 36 34 32 34 34 27 19 13 8 3 0 0 0 0 0 0 0 0 2 6 10 14 12 10 7 5 4 2 4 20 63 129 203 273 335 384 431 488 555 516 479 446 425 421 422 423 405 374 340 311 306 294 284 277 286 274 267 259 246 224 169 96 61 51 49 64 102 137 172 213 267 356 398 430 455 472 459 506 503 466 433 518 534 501 448 415 461 602 605 585 622 777 708 655 574 479 391 361 314 271 243 250 305 384 464 535 598 658 719 765 800 826 785 695 591 486 386 296 219 161 119 91 74
17 17 15 13 11 10 9 8 7 8 10 10 8 7 7 7 8 7 6 6 5 4 4 4 4 5 6 8 9 9 9 9 9 10 11 13 18 26 34 39 38 36 37 38 33 25 17 10 5 2 0 0 0 0 0 0 0 0 0 1 3 2 1 0 0 0 0 4 28 80 154 225 288 334 369 406 466 526 521 492 459 430 384 374 367 352 326 297 261 245 237 228 206 207 197 197 208 222 227 173 117 77 61 69 89 113 135 156 181 215 274 323 356 375 403 395 406 422 428 355 441 504 513 478 441 414 422 452 498 477 615 630 594 535 471 370 322 287 255 225 245 302 377 452 513 576 645 697 729 742 731 660 563 465 379 300 229 169 125 94 73 62
15 14 13 11 10 8 7 6 5 6 7 6 5 4 4 5 5 5 4 4 3 3 3 3 3 4 6 9 9 9 8 7 7 7 9 12 17 26 36 46 46 44 43 41 37 28 21 15 9 4 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 11 46 110 190 259 313 338 347 372 429 470 486 480 457 433 369 331 310 296 274 249 212 181 158 141 115 105 102 104 112 137 152 139 109 75 55 67 87 105 117 130 156 179 206 230 249 254 295 318 324 319 358 318 335 391 455 459 466 449 403 356 461 453 484 496 486 470 406 336 276 231 204 194 222 275 344 425 490 554 611 653 667 656 611 530 437 357 295 235 179 134 108 84 66 57
11 10 9 8 7 6 5 4 4 4 3 4 4 4 4 4 4 3 2 2 2 2 3 3 5 8 11 13 14 13 12 9 7 7 8 12 20 31 41 52 56 55 54 49 42 34 27 21 14 8 4 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 5 30 85 162 238 307 348 353 343 376 414 442 455 453 426 403 363 314 274 255 234 203 168 136 109 81 55 44 42 44 41 56 76 93 92 61 40 37 40 47 64 83 112 138 154 156 162 169 193 222 244 227 245 246 254 280 369 387 416 462 481 287 371 412 456 505 430 398 345 287 231 175 157 159 190 241 308 392 467 537 591 612 588 551 499 432 353 285 235 190 152 117 94 74 59 52
8 6 5 5 5 4 3 3 3 3 3 3 3 4 3 3 2 2 1 1 1 4 9 15 18 20 20 20 21 21 19 17 14 12 12 17 29 48 60 68 72 72 69 60 50 41 35 28 20 13 7 4 2 2 3 2 2 1 0 0 0 0 0 0 0 1 11 50 125 207 285 351 392 408 399 398 404 400 387 378 356 337 312 284 261 238 207 173 141 109 83 54 33 21 18 19 18 23 33 46 62 48 33 21 12 6 20 40 66 93 115 115 115 119 127 139 165 165 172 186 208 205 268 308 336 368 521 391 343 323 322 419 355 320 282 229 185 148 140 149 176 222 290 368 444 508 544 526 488 446 402 345 286 235 191 152 117 90 75 60 49 47
5 4 3 3 3 2 2 2 2 2 2 3 3 3 3 2 2 2 2 3 5 11 20 27 28 26 25 24 25 25 26 24 23 23 26 34 47 67 77 82 85 87 87 80 70 59 47 37 29 22 15 9 4 2 3 5 5 3 0 0 0 0 0 0 0 1 17 62 135 206 268 321 364 389 386 366 337 306 279 262 267 278 283 277 269 236 194 159 141 101 74 51 33 23 16 13 11 11 11 13 28 29 24 17 10 5 10 22 39 61 82 87 89 95 103 98 110 120 121 118 165 162 184 240 316 294 372 366 333 301 212 282 312 303 265 200 164 138 126 132 159 203 256 319 382 430 446 425 386 342 316 271 223 179 143 114 87 66 51 42 35 37
4 2 1 1 2 1 1 1 1 1 2 2 2 2 2 2 2 4 7 11 16 23 31 36 34 29 26 24 23 23 23 24 26 29 33 43 56 68 73 75 81 98 103 104 97 84 65 55 48 42 36 28 17 11 8 6 6 5 2 1 0 0 0 0 0 2 17 70 148 216 246 252 297 333 337 299 249 225 229 243 263 278 283 285 267 235 191 144 123 101 79 57 40 32 25 20 13 7 6 6 10 13 15 14 11 8 9 16 27 45 56 62 68 79 91 81 78 87 104 76 106 119 131 167 271 285 307 307 287 316 253 247 238 246 288 239 193 156 133 127 146 177 217 263 322 353 354 336 304 258 231 196 155 115 88 71 52 32 19 18 17 16
2 1 1 1 1 1 1 1 1 1 1 1 1 1 2 3 7 14 21 30 37 38 38 39 36 30 26 22 19 16 16 18 21 24 27 36 48 57 61 59 60 82 103 122 130 126 103 88 78 71 68 61 44 30 20 12 8 8 6 4 3 1 0 0 4 13 29 86 168 240 280 287 290 282 260 222 187 195 228 263 291 301 289 279 258 227 186 138 111 90 74 62 51 43 36 29 22 15 13 12 13 15 20 22 23 25 26 31 40 49 51 50 51 60 65 60 54 57 76 69 76 85 92 120 184 231 270 275 219 253 265 276 274 231 239 217 189 163 152 129 130 151 184 216 248 266 269 256 235 197 155 117 88 60 44 34 24 16 11 7 6 8
2 1 1 0 0 0 0 0 0 0 0 1 1 2 5 12 21 30 35 39 37 35 36 38 36 30 25 21 16 12 10 12 15 17 18 21 28 41 52 50 50 66 88 114 138 151 141 127 111 97 92 80 64 48 33 19 13 12 11 10 9 6 3 2 7 22 54 117 195 269 325 339 307 276 236 193 168 187 220 258 289 290 284 274 249 212 171 131 100 80 72 70 64 57 50 42 32 26 25 28 32 34 35 34 37 36 29 46 58 62 57 49 53 52 48 39 29 29 32 34 41 50 50 77 115 169 224 227 193 205 229 249 264 204 159 130 115 92 69 77 93 112 136 155 169 186 196 185 169 142 107 71 44 30 21 16 13 7 4 2 2 4
2 1 0 0 0 0 0 0 0 0 0 1 3 13 22 32 37 37 34 39 42 42 39 37 34 28 24 21 17 15 13 12 13 13 12 13 15 23 37 44 51 58 65 77 109 134 147 147 136 114 103 89 75 62 48 28 20 16 16 16 16 12 7 3 7 25 76 153 236 309 357 366 341 294 236 183 181 195 211 226 242 260 271 263 238 202 162 123 88 65 56 54 54 52 47 43 38 35 35 41 54 56 53 44 44 50 39 49 51 50 54 47 45 41 35 28 15 10 8 8 11 20 23 36 55 91 173 173 162 178 217 209 202 177 127 64 46 41 45 59 74 84 93 103 113 125 132 123 104 79 50 26 18 16 12 6 0 0 0 1 1 2
3 2 1 0 0 0 0 0 1 3 4 5 13 33 47 52 47 37 36 42 46 45 40 38 32 27 23 20 18 17 17 17 14 11 10 10 11 13 20 32 44 55 64 68 80 100 121 134 134 116 103 91 80 70 57 40 29 22 19 19 18 13 8 4 7 39 98 174 257 332 360 357 334 291 224 160 170 193 208 213 218 237 249 248 233 206 166 121 77 43 23 20 22 24 26 27 27 30 33 38 48 51 53 52 49 56 59 63 59 51 55 50 41 34 28 23 13 5 1 2 1 4 6 14 27 47 104 143 158 161 211 202 165 133 105 37 21 26 41 54 67 70 72 77 85 82 77 69 52 25 12 10 10 10 7 2 0 0 0 0 0 1
7 6 3 1 1 1 1 3 8 18 29 42 51 58 62 63 60 56 53 52 52 47 33 37 33 28 24 21 17 16 15 15 14 12 10 10 10 10 13 18 25 36 51 55 61 69 82 97 102 97 93 88 83 77 65 52 39 29 21 19 17 12 8 4 9 54 111 175 243 313 326 318 296 259 195 132 136 174 213 236 235 235 235 236 235 214 169 114 64 27 11 4 3 5 9 8 8 11 18 22 26 30 35 39 42 49 53 57 57 51 53 52 48 40 30 21 11 4 1 0 0 0 1 3 10 24 54 106 157 142 151 162 133 82 67 36 20 22 37 43 50 53 54 53 46 39 34 30 22 7 2 2 4 4 2 1 0 0 0 0 0 0
12 8 4 3 4 5 8 14 28 44 58 71 67 65 67 69 70 63 59 60 61 57 31 30 31 30 27 22 16 15 15 15 15 14 12 11 10 10 10 12 14 19 28 36 42 47 54 64 73 80 84 86 86 79 69 58 46 34 24 19 15 11 7 3 17 57 104 148 200 261 279 270 244 202 155 114 112 151 217 253 262 256 244 236 238 215 167 104 47 19 5 1 0 0 1 1 2 4 6 8 10 12 16 18 18 18 21 25 28 27 30 33 34 31 26 20 12 4 2 0 0 0 0 0 2 9 23 56 115 109 78 67 77 43 27 19 16 15 24 27 27 28 31 23 14 10 8 6 5 1 0 0 1 0 0 0 0 0 0 0 0 0
12 5 3 4 7 11 16 29 48 65 72 71 65 65 72 81 77 72 72 76 84 79 57 48 44 38 32 24 18 15 13 13 17 16 14 13 11 10 9 10 10 11 13 15 18 24 31 37 46 57 66 70 71 68 62 55 47 39 31 24 18 13 9 6 20 46 76 106 174 229 253 243 211 165 132 104 91 110 179 225 249 253 245 238 232 205 153 87 31 9 2 0 0 0 0 0 0 0 1 1 2 2 1 2 3 2 2 4 5 5 3 4 9 11 11 11 11 5 2 1 1 0 0 1 1 3 13 33 72 94 69 19 26 15 7 4 5 6 10 11 9 7 6 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
19 11 8 10 14 17 23 38 56 72 79 77 76 77 81 89 93 96 94 99 118 107 93 79 62 44 39 31 25 20 18 15 17 17 16 14 13 11 10 9 9 9 9 9 9 10 13 16 19 22 27 32 34 35 36 38 39 37 32 26 19 12 8 6 12 22 38 69 123 171 199 201 189 167 142 113 88 90 146 189 210 216 219 225 212 174 118 63 17 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 1 1 1 1 1 0 1 2 1 3 14 32 46 62 67 18 7 3 1 0 0 1 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
29 25 24 24 23 24 27 41 63 83 87 82 75 70 70 77 85 93 104 117 129 126 118 100 75 59 52 44 36 29 24 21 20 19 18 16 15 13 11 9 8 8 8 8 7 7 7 8 8 8 7 6 7 8 11 15 22 23 18 10 4 3 4 4 5 6 11 30 53 75 98 122 149 166 167 146 113 101 118 146 169 180 194 194 164 106 58 26 8 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 1 10 19 20 12 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
34 30 28 26 23 25 30 48 72 86 89 83 71 60 58 68 71 79 90 101 114 123 123 112 96 84 73 60 49 41 35 30 26 23 21 20 18 16 15 12 10 10 9 8 7 7 6 6 6 6 6 5 4 3 3 5 7 7 6 4 5 5 5 5 6 6 7 11 14 19 29 62 109 157 189 183 146 120 109 111 123 149 169 160 113 29 8 3 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 2 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 1
25 23 22 21 20 18 26 45 72 80 88 86 73 57 46 54 55 58 69 83 102 114 117 112 106 102 96 84 67 55 47 41 36 31 27 25 22 20 18 15 13 11 10 9 8 8 7 6 6 6 5 4 3 3 3 3 3 3 3 3 3 3 4 4 5 5 6 7 8 7 10 32 71 120 170 175 157 132 102 74 83 117 134 126 102 34 9 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 2 4
13 12 12 13 12 11 14 23 36 58 72 72 66 64 39 36 39 43 49 60 78 93 102 105 103 97 87 78 72 64 58 56 54 47 40 33 28 26 24 20 17 15 13 11 9 9 8 8 8 7 6 5 4 3 3 3 2 2 2 3 3 3 3 3 3 3 4 5 6 7 7 12 30 63 106 128 134 128 111 88 93 97 97 102 98 60 24 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 3 5
8 6 5 5 6 8 9 12 15 25 28 30 41 57 31 24 28 34 38 45 55 66 77 85 87 85 79 71 64 58 53 54 58 60 54 46 39 35 33 29 25 21 16 13 12 11 10 10 9 8 7 6 5 5 4 3 3 3 3 4 5 5 4 4 4 4 4 3 4 5 5 6 9 21 48 82 115 130 111 97 89 81 75 98 101 80 42 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 0 0 2 3
9 6 4 5 6 8 11 15 22 31 43 55 60 53 36 22 16 18 23 30 39 49 57 65 70 72 69 65 58 52 46 43 45 52 56 60 61 49 47 43 37 30 23 19 16 13 11 10 9 8 7 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 5 5 8 17 43 83 103 101 93 83 73 63 79 86 76 46 10 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 9
14 12 10 11 12 14 17 24 31 38 48 61 73 69 51 27 7 5 8 15 25 36 44 53 57 58 58 54 49 43 39 36 36 40 46 53 62 68 67 64 56 42 35 30 24 19 15 13 11 10 9 8 8 7 6 5 5 5 4 4 4 4 4 5 5 5 5 5 4 3 3 4 4 4 5 16 49 74 86 86 76 66 60 65 67 60 35 13 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 0 0 0 0 0 0 0 0 0 0 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 8 14
23 23 21 20 19 22 28 34 37 42 52 68 95 94 76 48 13 8 6 9 12 16 31 38 43 46 47 44 40 37 33 30 28 30 34 41 49 56 62 69 70 58 53 44 35 29 23 19 16 14 12 11 11 10 9 7 7 6 5 4 4 4 5 6 7 7 7 7 5 4 3 2 3 3 3 6 25 51 71 78 70 62 58 58 57 43 21 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 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 9 15 22
32 37 34 30 28 29 35 39 40 44 55 81 101 99 83 60 24 12 8 8 8 7 21 29 33 37 40 37 34 32 30 26 23 24 28 34 39 45 51 57 64 66 65 55 43 38 31 26 22 19 17 16 15 14 14 13 11 9 7 6 6 6 7 7 7 8 9 9 7 5 3 2 2 2 3 5 14 35 55 66 64 60 58 59 61 37 14 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 0 0 0 0 0 0 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 7 11 14 18 22 28
35 43 41 37 34 34 37 41 43 45 50 66 80 76 62 49 30 16 9 8 8 7 7 8 13 21 27 25 22 21 26 19 12 11 19 28 32 38 44 49 54 58 62 62 59 50 39 32 27 24 23 21 20 20 21 18 15 12 10 9 9 9 8 8 7 9 10 9 7 5 3 2 2 2 3 4 8 20 39 50 57 60 65 72 58 27 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 12 16 21 25 28 28 28 30
30 36 38 37 36 37 38 42 44 44 45 50 53 54 53 49 34 19 9 7 7 8 9 9 8 7 12 12 11 11 12 9 6 7 12 18 24 30 37 44 47 51 54 56 56 50 44 37 30 28 27 26 25 25 24 22 19 16 14 12 12 11 10 9 7 8 9 8 6 4 3 3 3 3 3 4 5 10 22 43 61 64 48 33 14 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 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 1 0 1 1 1 1 4 8 14 18 22 25 29 33 37 38 38 38
20 28 32 35 36 37 38 39 40 41 44 52 59 64 65 58 39 22 12 8 8 8 8 9 9 9 9 9 10 11 10 9 8 7 6 3 9 16 22 29 25 33 44 49 52 50 46 40 32 30 29 29 29 28 26 24 22 19 18 16 14 12 10 10 9 9 9 8 7 6 5 4 4 3 3 3 3 4 10 26 33 26 9 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 0 0 0 0 0 0 1 1 0 1 1 2 1 1 1 0 0 0 0 1 1 2 2 3 5 5 5 8 9 10 14 18 21 22 23 24 26 28 33 37 39 39
11 20 28 35 39 39 38 37 38 40 44 51 59 67 74 79 60 35 19 11 8 8 9 8 9 9 9 9 9 10 10 9 8 7 7 7 7 8 12 17 20 25 31 35 36 31 30 32 32 32 31 31 30 29 28 27 26 23 20 16 13 9 8 10 10 10 9 8 7 6 6 5 4 3 3 3 4 4 3 6 8 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 0 0 0 0 0 0 0 1 1 1 2 2 3 3 3 3 3 3 2 2 2 2 2 4 5 6 9 12 16 20 22 23 25 27 29 29 26 24 22 20 20 21 24 25 25
4 12 22 33 39 37 36 35 35 36 41 49 59 70 79 99 92 65 40 16 8 8 9 9 9 9 8 9 9 10 10 10 9 7 6 6 7 9 13 18 24 30 34 35 35 35 35 35 33 32 32 32 31 30 30 30 29 26 22 18 13 9 11 12 11 10 8 7 6 6 5 6 4 3 4 5 6 4 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 1 1 1 2 2 2 2 2 2 3 3 3 4 4 5 5 5 5 5 4 4 4 4 5 7 9 10 14 18 22 27 30 31 31 32 31 30 28 24 22 19 17 15 14 14 13
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