Vorticity
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nan 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 11 11 11 11 10 10 10 10 10 9 9 9 9 9 10 11 11 11 11 11 11 10 9 9 9 9 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 10 10 10 9 9 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 12 13 14 14 14 14 13 13 14 14 14 14 13 12 11 10 9 9 9 9 9 8 8 8 8 8 9 9 9 10 10 9 7 4 1 -0 -0 1 2 4 6 8 9 10 12 13 14 14 15 14 14 13 13 12 10 10 9 8 8 8 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 11 11 11 11 11 10 10 10 10 9 8 7 8 9 10 11 12 12 12 11 10 10 9 9 9 10 10 10 10 10 11 11 11 11 11 11 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 10 10 10 11 11 12 13 13 13 13 13 13 13 13 13 13 13 12 11 11 10 9 9 9 9 9 9 8 8 8 8 8 8 8 9 10 10 10 9 6 5 3 2 2 2 2 4 5 6 7 9 10 12 13 14 14 14 13 12 10 9 8 6 5 5 nan
nan 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 11 11 11 11 11 11 11 11 10 10 9 8 7 7 8 9 11 12 12 12 11 10 10 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 9 9 9 9 9 10 10 10 10 10 9 9 9 9 10 10 10 10 10 11 11 12 12 13 12 12 12 12 12 12 12 12 12 11 11 10 10 9 9 9 9 9 8 9 9 8 8 8 8 9 10 11 12 12 11 10 9 8 6 5 4 3 4 3 4 5 7 9 11 13 14 14 14 12 11 10 9 8 6 5 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
9 8 9 10 12 16 25 38 44 48 48 44 39 34 31 30 29 27 25 24 23 22 22 21 21 22 25 29 32 33 30 26 25 27 29 29 26 23 21 18 16 14 12 10 8 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 26 74 148 183 200 203 195 172 176 188 202 212 217 227 259 287 310 329 359 404 442 451 432 401 362 220 137 100 104 137 177 168 155 140 125 116 159 173 217 307 460 692 902 1062 1131 1105 1012 877 693 531 420 395 547 1009 1335 1500 1559 1584 1570 1511 1467 1431 1401 1422 1465 1439 1425 1402 1352 1335 1262 1189 1121 1039 971 948 901 980 1040 962 894 1197 1366 1501 1671 1821 1861 1940 2043 2131 2186 2188 2174 2102 2001 1906 1840 1716 1656
9 9 10 10 13 18 28 38 44 47 44 38 34 30 27 27 26 26 24 24 23 22 21 20 18 19 22 25 29 31 31 29 27 27 29 28 28 29 26 21 18 15 12 9 8 7 5 3 1 0 0 0 0 0 0 0 0 0 0 0 1 3 10 27 78 140 188 226 252 257 232 224 233 246 253 249 249 259 271 275 272 295 325 347 350 334 310 284 193 106 52 39 62 100 111 98 76 66 59 76 90 107 148 241 451 658 826 895 842 858 767 609 479 441 454 608 893 1189 1398 1474 1502 1488 1430 1399 1395 1351 1341 1390 1349 1277 1285 1275 1221 1137 1066 1009 902 816 867 859 814 847 894 763 981 1245 1401 1497 1619 1692 1788 1910 2040 2119 2133 2097 2002 1859 1742 1639 1530 1476
9 10 13 14 18 28 39 45 46 44 40 37 32 28 26 24 23 23 20 20 20 20 20 19 17 16 17 20 24 27 29 29 27 26 27 28 29 30 28 22 18 15 12 9 7 7 6 4 3 1 0 0 0 0 0 0 0 0 0 1 4 10 23 51 111 175 231 272 296 303 289 280 283 290 291 288 282 271 261 259 251 259 268 270 258 228 210 181 132 81 44 25 36 57 68 59 40 31 29 36 46 59 81 138 261 417 573 686 685 722 756 688 545 553 619 758 919 1098 1269 1315 1319 1341 1342 1311 1314 1310 1251 1270 1291 1195 1162 1143 1108 1053 946 848 837 756 751 785 784 714 806 811 892 1078 1220 1250 1329 1458 1617 1784 1947 1999 2001 1947 1808 1629 1513 1395 1318 1303
10 12 16 21 28 41 51 52 47 40 35 34 30 27 23 20 17 18 17 17 18 19 19 18 16 15 15 17 19 20 23 25 26 26 25 28 29 29 28 25 22 16 12 8 6 6 6 6 4 2 1 0 0 0 0 0 0 0 0 1 4 11 27 78 150 226 287 318 334 326 307 298 303 309 308 302 287 269 254 253 247 236 224 211 195 169 146 129 111 92 79 64 59 57 48 29 25 22 24 29 35 42 54 83 135 221 342 473 553 632 757 844 749 736 763 855 978 1076 1146 1169 1152 1156 1191 1169 1153 1223 1225 1193 1196 1139 1085 1035 1011 977 837 716 746 720 640 612 767 716 726 785 845 928 1001 1065 1176 1335 1526 1691 1820 1883 1877 1815 1667 1541 1446 1368 1318 1318
10 14 20 29 39 51 59 57 48 39 34 30 26 22 18 16 14 14 14 15 17 18 19 17 16 15 16 15 17 17 19 21 23 25 24 28 30 30 30 32 27 21 15 11 7 5 5 6 5 3 1 0 0 0 0 0 0 0 0 0 1 4 18 57 116 193 279 331 343 335 313 296 302 305 300 283 259 240 239 246 244 225 199 182 165 150 141 136 127 111 104 101 91 75 59 40 33 32 35 37 34 28 28 35 56 96 167 272 416 575 749 939 986 965 912 916 1033 1094 1075 1106 1113 1067 1063 1053 1026 1076 1129 1116 1093 1065 1034 988 905 783 722 619 587 601 590 420 544 634 680 727 773 816 871 958 1099 1294 1468 1597 1682 1725 1734 1697 1622 1560 1513 1454 1387 1340
11 16 25 38 51 60 62 55 45 36 30 24 20 17 14 13 12 12 12 14 16 18 18 17 16 15 14 14 15 15 17 18 19 22 22 25 27 30 31 34 30 25 19 13 8 4 4 5 5 4 2 1 0 0 0 0 0 0 0 0 0 0 5 18 50 111 195 259 304 331 330 310 302 295 281 261 240 226 229 238 233 208 176 157 144 148 153 148 128 100 84 75 72 75 77 69 61 56 53 48 38 29 24 22 24 37 70 112 234 439 667 895 1056 1111 1063 954 961 1051 1063 1072 1097 1050 975 952 936 946 991 1005 1042 999 919 850 812 712 669 575 466 388 529 435 448 549 644 669 705 752 817 911 1051 1241 1383 1489 1571 1638 1649 1634 1609 1580 1541 1446 1348 1252
9 17 30 48 66 69 60 48 37 29 24 20 16 13 12 12 11 11 11 12 13 15 16 16 16 15 13 13 14 14 15 16 16 18 19 21 24 27 32 36 35 30 22 15 9 5 4 4 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 3 15 44 94 163 235 291 314 313 301 290 276 259 244 233 228 220 204 179 154 134 115 111 113 104 85 64 55 54 57 79 93 93 85 75 63 52 37 31 26 19 14 15 24 39 97 245 469 720 897 967 963 903 846 964 1052 1039 1032 976 927 878 839 831 867 855 884 868 779 695 731 620 504 481 486 313 416 473 494 533 620 637 666 717 791 899 1041 1183 1291 1372 1503 1569 1600 1600 1583 1560 1490 1371 1234 1112
10 20 37 57 67 63 50 36 26 21 19 17 14 12 11 10 10 10 10 10 10 11 12 12 12 12 11 11 11 12 12 14 14 15 16 19 22 25 32 37 36 31 24 16 11 6 3 2 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 2 11 38 119 212 277 307 308 300 289 277 261 239 221 199 183 173 155 135 120 104 91 82 69 59 51 51 57 69 86 101 102 92 76 58 46 32 22 19 17 13 9 9 13 31 106 266 487 683 785 810 800 778 840 944 982 980 913 851 806 777 738 775 759 718 704 733 659 636 557 440 371 464 389 401 477 544 565 607 631 662 725 815 925 1049 1167 1271 1366 1464 1508 1523 1531 1527 1473 1372 1238 1098 981
12 25 43 57 57 47 33 23 15 13 13 12 12 11 10 9 9 8 8 8 8 7 8 8 9 9 9 10 10 10 10 11 12 13 14 16 19 19 25 31 34 32 25 19 14 9 4 1 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 3 31 107 208 288 321 319 305 285 262 237 208 199 188 167 140 122 112 112 114 114 103 91 89 91 91 90 90 102 113 115 104 83 59 45 36 30 25 21 18 15 11 9 13 31 117 272 466 627 662 696 726 777 905 981 971 885 791 732 749 703 693 667 602 540 642 617 548 488 463 338 378 411 436 489 550 588 618 645 677 768 871 978 1082 1178 1255 1343 1409 1429 1426 1440 1419 1350 1245 1115 977 874
22 35 46 51 45 34 24 16 10 9 8 9 9 9 8 7 7 6 6 6 5 5 6 6 7 7 7 7 8 8 9 10 11 11 12 13 15 17 21 27 34 33 27 23 19 15 10 5 4 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 5 36 102 197 293 336 340 323 294 255 213 188 179 166 137 100 96 112 137 156 162 152 145 153 169 172 152 134 131 136 137 130 111 88 69 58 50 38 31 25 19 14 11 9 11 44 124 260 445 558 615 645 683 914 886 826 835 829 722 710 680 635 596 609 519 543 552 512 437 471 416 385 404 451 500 547 586 625 665 714 809 914 1016 1107 1181 1240 1298 1328 1326 1325 1331 1301 1228 1117 988 865 757
35 44 47 43 34 25 17 10 7 6 5 5 5 7 6 6 5 4 4 3 3 3 4 5 5 5 5 6 7 7 7 8 8 9 10 10 13 15 18 22 28 28 27 25 23 22 19 15 11 8 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 3 23 74 170 270 328 350 347 330 293 245 207 182 162 137 113 114 135 166 200 221 206 196 203 223 230 202 178 168 165 160 156 140 119 99 83 72 59 46 34 24 14 13 11 9 17 44 129 267 401 497 556 566 766 811 726 666 786 718 690 667 608 481 554 541 501 475 523 470 440 403 375 397 450 495 534 574 621 671 746 843 946 1037 1104 1167 1231 1278 1279 1243 1244 1234 1193 1111 978 856 740 636
43 47 41 30 21 14 9 5 4 3 2 2 3 5 5 4 3 2 2 1 1 2 2 3 3 4 4 5 6 5 5 6 6 8 8 9 10 12 16 19 22 24 25 25 24 26 25 22 18 14 10 7 4 3 1 0 0 0 0 0 0 0 0 0 0 1 7 21 112 208 288 342 362 350 316 277 247 227 200 173 145 133 146 182 230 249 242 226 218 239 255 243 221 200 186 176 169 158 142 125 103 86 72 57 44 35 22 15 12 11 12 18 68 156 265 380 515 532 615 724 783 566 676 721 682 600 618 491 492 518 494 379 443 443 410 369 350 398 448 490 527 562 605 663 745 845 952 1044 1101 1168 1232 1252 1208 1177 1160 1132 1068 963 838 719 612 524
42 40 28 18 12 9 7 4 2 1 1 2 3 3 3 3 2 2 1 1 1 1 1 1 3 3 3 4 5 4 4 4 5 6 7 8 8 10 14 17 20 24 28 29 28 29 29 27 23 18 14 11 8 5 3 1 0 0 0 0 0 0 0 0 0 0 0 5 50 117 195 271 309 303 293 290 293 286 255 222 190 173 178 214 259 280 275 248 214 236 266 279 264 223 199 186 179 173 166 142 126 108 91 73 54 42 26 16 10 11 14 14 36 86 169 274 433 515 543 556 753 573 563 635 679 508 531 519 499 482 504 389 377 387 392 358 366 405 441 471 511 543 584 646 733 842 947 1023 1092 1160 1213 1191 1135 1087 1046 997 907 794 679 575 492 428
39 29 18 11 9 7 5 3 1 0 1 2 2 2 2 2 1 1 1 1 2 3 1 1 2 3 3 3 4 4 4 3 4 5 6 7 8 9 11 15 19 26 31 33 32 31 31 29 25 20 16 13 10 7 4 2 1 0 0 0 0 0 0 0 0 0 0 2 17 47 92 147 183 205 222 241 271 280 271 256 239 224 230 264 297 313 299 262 219 221 249 281 287 237 213 206 202 190 202 199 180 158 138 115 95 73 50 31 15 13 14 16 26 48 122 195 311 447 569 446 562 593 556 489 682 577 528 509 498 392 424 390 345 318 379 357 367 396 427 428 483 525 571 631 708 804 896 981 1055 1117 1130 1087 1025 958 891 813 717 621 530 443 384 338
33 23 15 9 7 5 4 2 1 0 0 0 1 1 1 1 1 0 1 3 6 7 7 5 5 5 6 6 5 4 4 3 3 3 5 6 6 7 9 11 17 25 31 34 33 32 33 32 27 22 17 13 9 7 4 2 1 0 0 0 0 0 0 0 0 0 0 3 9 20 40 74 107 129 142 160 199 222 235 246 255 247 259 290 318 328 305 272 230 203 200 233 264 237 225 234 255 212 212 211 206 196 176 154 137 119 95 66 39 24 18 20 33 42 102 168 241 322 532 481 511 582 639 402 565 607 558 462 520 391 348 339 331 218 297 333 353 369 420 425 451 487 526 581 659 753 852 939 992 1035 1024 963 871 787 708 623 539 460 396 332 288 257
25 17 12 8 6 4 3 1 0 0 0 0 0 1 2 2 1 2 5 8 11 10 11 12 12 13 14 14 12 10 7 5 3 3 4 4 5 6 7 10 15 23 30 34 33 34 36 36 33 27 20 14 9 6 3 2 1 1 0 0 0 0 0 0 0 0 2 7 14 16 31 54 77 90 94 119 142 162 184 212 251 277 302 312 314 302 287 270 242 207 180 220 233 233 232 245 274 235 210 196 192 197 183 173 161 146 131 93 62 43 32 20 35 48 85 152 240 239 396 451 424 376 576 444 459 547 625 406 448 395 335 307 348 254 251 289 339 353 369 374 401 438 461 531 616 702 785 878 926 926 891 817 676 597 526 457 390 331 287 242 209 188
19 14 11 10 8 6 4 2 1 0 0 0 1 2 4 3 3 5 9 12 12 12 14 16 18 22 24 24 22 20 17 11 8 6 4 4 5 6 7 9 13 21 30 33 36 38 39 40 38 33 25 16 8 5 3 1 1 2 1 0 0 0 0 1 2 4 8 15 24 28 40 58 78 94 112 107 106 115 143 194 248 289 303 299 298 260 251 243 223 191 182 205 218 220 218 227 225 200 174 153 143 157 165 177 186 170 143 106 72 48 42 23 28 39 63 111 221 220 269 336 389 243 390 423 402 388 638 499 413 365 360 301 308 264 229 242 309 331 346 355 363 404 429 483 559 645 714 799 848 801 689 639 528 441 376 327 279 241 206 171 142 125
15 11 10 10 12 9 6 3 1 0 0 1 3 5 7 6 5 5 7 10 12 17 21 24 26 28 27 26 26 25 23 19 15 11 8 6 6 7 8 9 12 18 31 39 44 46 45 43 42 36 28 18 9 4 2 2 2 2 1 0 0 0 0 3 10 14 17 21 29 39 54 74 95 106 105 91 82 89 119 168 215 253 271 264 249 229 214 196 175 168 167 170 174 175 174 178 165 140 117 101 95 102 111 128 165 156 134 107 76 35 24 13 12 21 40 68 139 177 196 218 370 294 282 323 395 271 438 476 400 280 343 306 275 236 209 239 278 295 311 322 302 348 386 428 485 582 654 692 721 716 557 464 385 314 255 226 192 161 133 105 82 65
14 12 12 11 12 12 10 6 2 0 2 4 6 9 12 15 10 7 9 10 12 20 25 27 27 25 23 22 22 21 20 20 19 17 14 9 7 7 8 10 13 19 36 50 58 60 56 49 44 39 31 22 14 8 5 4 4 2 2 1 0 0 0 2 8 14 17 22 36 60 86 105 117 123 114 95 84 92 123 157 182 199 214 213 201 189 174 153 136 137 141 147 149 134 129 129 129 127 108 86 79 78 73 59 81 87 86 83 77 31 11 2 1 5 21 41 76 123 173 154 255 264 211 156 316 284 326 374 363 216 256 250 230 204 171 212 237 242 233 254 257 279 318 373 418 530 609 611 550 564 442 332 256 210 167 146 120 94 72 51 36 24
19 21 22 18 16 15 14 11 5 3 5 8 10 12 12 19 16 13 15 20 26 27 27 27 27 25 22 19 16 15 14 16 18 19 18 15 13 12 14 18 22 30 50 68 80 79 68 58 48 41 34 28 21 16 12 9 6 5 4 2 1 0 0 0 6 15 19 24 40 69 100 123 131 128 115 100 96 110 145 181 206 208 193 180 165 151 136 125 120 116 117 123 127 113 104 94 87 89 91 80 73 72 72 55 49 45 44 48 50 25 8 2 4 1 11 25 41 67 134 144 165 180 175 86 177 229 270 301 309 246 237 216 177 182 161 163 175 183 161 180 197 213 240 313 364 432 503 519 401 364 289 211 151 122 99 82 66 51 36 19 11 9
36 35 34 28 23 19 16 14 11 8 7 9 12 13 13 18 20 18 16 22 26 28 28 29 29 27 24 21 15 11 8 10 14 16 16 16 17 20 27 36 50 72 96 112 117 107 88 70 54 44 39 35 32 28 24 18 13 10 7 4 2 0 0 1 5 13 18 23 40 64 86 97 108 126 128 116 111 122 148 176 192 189 180 169 149 123 102 95 98 100 98 97 93 88 88 88 76 70 64 57 52 50 55 54 52 43 35 33 27 16 5 0 0 1 6 15 29 39 91 129 134 113 124 93 113 151 199 268 267 238 222 220 155 148 138 132 138 151 147 146 153 164 174 243 309 344 346 334 264 206 151 107 77 57 43 31 21 16 8 3 2 5
45 41 36 29 23 18 14 13 12 10 9 10 13 18 18 20 21 20 14 22 24 24 26 30 27 26 24 21 16 10 6 4 5 8 11 13 16 21 29 40 57 83 115 139 148 138 122 100 75 57 50 46 44 42 38 27 21 15 10 6 2 1 0 2 9 18 20 31 51 72 84 101 121 143 152 142 131 127 135 149 160 163 164 155 132 95 62 50 52 54 46 43 40 37 39 46 50 50 49 44 39 32 37 45 46 36 34 32 24 12 3 0 1 1 2 8 23 35 61 103 131 90 75 67 72 84 84 181 238 237 191 199 169 145 131 129 133 130 119 109 108 116 140 190 233 242 224 181 134 93 61 41 26 16 10 6 0 0 0 0 1 3
41 34 28 21 15 11 9 12 13 14 12 12 19 25 26 25 25 24 21 25 28 30 32 35 29 25 22 19 15 10 9 8 4 2 5 9 12 15 19 24 30 34 44 72 109 129 144 146 125 96 80 67 60 55 49 35 24 16 9 6 3 2 2 6 18 29 36 55 83 101 92 116 152 178 181 162 140 128 125 125 124 127 134 131 111 75 36 15 9 12 9 7 6 6 6 7 9 14 17 17 16 14 21 33 38 22 24 28 22 9 4 2 1 0 1 2 11 19 31 51 74 56 47 42 43 62 74 119 184 232 193 187 177 159 138 127 118 104 85 71 74 94 116 133 135 119 101 73 47 32 18 8 2 1 1 0 0 0 0 0 0 2
31 23 17 12 9 7 7 10 16 18 18 22 33 38 38 35 33 31 28 30 35 39 40 43 36 28 22 17 12 11 11 8 4 2 3 6 8 10 11 12 12 11 10 13 38 65 104 150 163 150 129 101 75 65 54 41 29 19 11 8 6 7 13 24 37 49 64 85 109 107 101 124 159 186 189 165 138 117 106 102 101 107 111 105 85 53 24 6 1 0 1 0 0 0 0 1 1 1 1 2 1 2 6 13 19 16 16 20 23 21 22 19 10 1 0 1 2 7 16 25 26 27 31 41 45 54 68 89 126 179 180 181 164 140 111 93 80 69 61 63 79 95 98 84 58 39 26 14 7 3 0 0 0 0 0 0 0 0 0 0 1 3
19 12 9 8 8 7 6 9 20 30 35 44 49 48 43 40 40 44 44 45 47 49 49 47 40 31 23 19 14 12 10 6 3 4 4 5 7 7 7 7 7 7 7 7 10 16 35 77 117 154 165 143 100 80 64 50 38 27 21 17 18 24 35 50 58 68 81 93 106 100 104 122 148 169 169 151 131 115 108 100 98 97 92 76 55 32 14 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 7 12 23 50 41 16 3 0 0 0 1 2 5 7 8 14 29 38 48 54 58 69 88 100 105 99 84 66 52 46 46 44 50 53 47 37 27 11 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2
10 5 3 4 5 6 5 9 25 44 56 62 58 52 47 49 51 53 57 62 70 72 68 60 49 37 28 25 20 14 10 9 8 10 9 8 8 7 7 7 6 5 4 5 5 6 8 17 41 76 110 130 111 95 77 63 53 43 38 35 37 46 54 61 70 77 84 89 93 96 107 127 147 149 138 125 115 112 127 125 113 92 68 39 23 13 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 1 1 3 1 0 0 0 0 0 1 1 1 2 7 11 23 30 24 21 22 24 27 28 25 23 22 24 27 24 17 10 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
7 5 3 4 5 7 6 14 32 56 76 82 77 67 60 63 70 77 76 78 98 99 94 80 61 44 35 31 28 23 20 18 17 16 13 10 9 8 8 8 7 5 5 4 4 5 5 5 8 11 15 38 50 54 59 66 65 65 64 63 65 75 77 78 79 79 84 93 102 113 123 131 143 131 117 106 103 113 138 135 107 66 38 15 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 1 1 0 2 9 9 4 3 4 2 2 1 2 3 3 3 4 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4
9 7 6 6 9 14 12 23 47 77 95 99 88 72 61 60 64 72 81 90 103 108 111 100 74 51 42 37 33 29 26 23 22 19 16 13 12 11 10 9 8 7 7 6 5 5 5 4 4 3 4 3 6 11 22 44 57 65 73 86 101 98 98 98 94 87 92 97 101 104 105 112 120 120 116 108 103 104 99 82 51 21 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 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 3 8 11
11 11 10 11 17 20 22 37 62 83 98 101 94 83 74 63 59 62 68 74 81 93 103 104 97 77 61 50 43 34 30 27 25 23 21 21 18 15 13 11 9 8 8 8 7 6 5 4 4 3 3 2 2 2 5 14 19 22 27 35 49 67 81 92 99 100 103 101 95 87 77 85 101 116 122 116 115 104 82 49 7 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 0 0 0 0 0 0 0 0 0 0 2 7 11 13
12 12 13 13 20 19 24 40 64 76 92 98 93 79 57 52 53 54 56 60 68 80 88 90 94 95 92 81 65 50 44 39 33 29 27 25 23 20 16 14 12 11 10 10 9 8 6 5 5 5 4 3 2 3 3 4 3 4 4 4 8 13 25 40 56 67 81 93 96 87 86 98 113 124 125 113 102 85 60 26 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 0 0 0 0 0 0 0 0 0 2 5 6 9
14 15 15 15 18 18 19 23 33 57 72 79 84 96 67 55 51 49 47 50 57 68 76 77 77 76 73 71 70 64 61 58 55 45 39 33 29 26 22 18 16 14 13 12 10 9 8 7 7 6 6 4 4 3 3 3 3 3 4 4 4 4 4 5 13 20 24 34 62 72 90 111 129 133 123 105 83 58 33 12 5 3 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 0 0 0 0 0 0 0 0 0 0 0 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 5 8 16
16 18 19 19 20 21 20 19 19 29 34 40 55 81 53 42 41 42 39 41 46 54 61 66 69 70 69 66 62 60 59 61 65 64 57 47 39 34 30 27 23 19 16 14 11 10 10 10 9 8 7 6 5 5 4 4 4 4 4 4 3 3 4 3 4 6 7 8 14 30 51 78 107 118 114 97 73 46 22 12 10 10 11 8 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 0 0 0 0 0 0 0 0 0 0 0 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 4 6 8 12 19
19 24 26 26 28 28 28 27 28 31 39 50 60 72 59 42 28 23 25 28 33 40 47 54 59 61 61 61 59 56 54 53 56 62 63 63 60 48 44 39 33 26 20 17 14 12 12 11 11 10 9 8 7 6 6 6 6 7 7 6 5 4 3 4 3 3 4 5 5 7 13 27 60 86 100 94 67 38 24 20 21 23 24 19 12 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 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 7 10 13 17 22 26
24 31 33 34 35 34 33 32 33 36 43 55 75 89 79 53 23 12 11 15 23 32 37 42 48 52 54 53 53 52 51 48 49 53 57 61 66 68 62 56 48 36 29 24 19 16 14 12 12 11 10 9 9 8 7 7 6 6 6 6 6 5 5 4 3 3 4 4 5 4 4 6 25 50 77 91 69 48 36 32 33 35 34 27 15 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 4 7 9 12 16 19 24 27 29
27 33 35 37 38 37 36 37 38 41 50 67 101 112 103 77 32 18 10 8 10 13 26 33 38 44 50 50 49 48 46 44 43 44 47 51 55 58 58 60 59 50 44 34 25 19 17 16 16 15 13 11 10 9 8 8 8 7 7 7 6 6 6 6 6 6 5 4 4 4 3 3 7 20 40 64 65 56 46 41 41 43 40 30 15 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 2 4 6 9 12 14 16 19 20 22 23 24 26
24 29 32 35 35 34 36 40 41 44 52 78 104 111 104 84 39 21 11 7 4 3 15 21 26 33 42 43 42 41 40 38 36 37 40 43 47 50 51 52 56 58 55 45 33 27 21 18 17 15 13 11 11 11 11 12 10 9 8 7 6 6 6 6 6 7 6 5 4 3 3 3 3 7 17 36 52 57 55 52 51 47 37 21 7 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 1 1 1 2 5 8 10 12 15 18 21 23 22 21 20 21 22
14 24 29 31 32 31 32 36 39 43 47 62 80 83 75 62 41 25 14 6 3 3 3 5 9 15 25 26 23 24 30 24 18 17 24 34 39 43 45 47 51 54 55 52 47 37 26 20 17 15 13 12 12 12 14 13 12 10 9 8 8 7 6 5 3 6 6 5 4 3 2 3 3 4 9 21 42 57 60 59 56 50 39 23 8 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 1 1 2 4 5 7 9 11 13 14 16 18 19 19 18 16 14 14 14 11
11 23 29 32 32 32 33 38 41 42 41 46 50 55 60 58 47 30 15 6 2 2 3 4 5 4 9 9 9 10 11 9 7 9 15 23 28 32 36 41 43 47 49 47 45 39 34 28 21 16 15 14 14 14 14 13 12 11 10 10 9 8 7 6 5 6 6 5 4 4 3 3 3 3 5 16 33 52 69 81 86 73 39 14 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 1 0 0 0 0 0 0 1 2 3 4 5 7 11 15 18 21 22 22 21 19 17 15 11 9 8 8 8 7 5 3
10 21 30 35 35 36 37 39 40 40 40 47 56 65 70 67 56 38 21 9 4 2 2 3 3 4 5 6 7 8 8 8 8 7 6 3 8 15 20 24 19 27 37 40 43 41 37 31 21 17 16 16 16 16 15 15 14 13 12 11 10 9 7 7 6 6 6 6 5 5 4 4 4 3 2 7 21 45 77 78 54 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 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 1 1 0 0 1 2 3 5 7 9 12 15 20 25 30 31 31 29 24 19 14 8 3 2 2 3 2 2 2 1
6 15 25 35 36 38 40 40 42 42 43 50 59 70 81 94 80 53 29 14 6 1 0 1 2 3 4 5 6 6 6 6 6 5 5 5 4 5 9 14 17 21 24 25 27 22 20 22 21 19 18 17 16 17 17 17 16 16 15 13 11 10 9 8 7 6 6 7 6 5 5 5 4 4 4 5 13 29 50 43 20 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 1 1 1 2 2 2 2 1 1 2 3 5 8 10 13 17 20 24 27 30 31 31 28 23 17 12 8 5 3 2 3 4 3 2 2
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