Vorticity
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nan 11 11 11 10 10 10 10 11 10 10 11 12 12 13 14 14 14 13 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 11 11 12 12 12 12 12 12 11 12 12 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 14 15 15 15 15 15 15 15 15 15 15 14 12 11 11 10 10 10 10 10 10 10 11 11 12 13 13 14 14 14 13 12 10 9 8 6 4 1 -1 -1 -1 -1 0 1 5 11 20 28 33 35 37 39 41 40 40 39 39 38 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
28 35 41 42 39 30 18 9 6 5 5 5 6 7 8 8 8 7 6 5 5 4 4 5 5 5 5 4 5 5 5 4 4 4 4 4 4 4 7 16 26 33 36 38 38 36 33 29 25 22 21 20 18 18 14 11 10 9 8 8 7 6 6 6 5 4 3 5 10 17 24 12 8 8 9 11 13 13 12 13 16 23 25 27 29 29 29 27 24 23 21 20 20 18 20 19 18 16 12 11 12 13 13 12 12 11 12 15 18 23 26 27 27 26 21 17 14 11 9 8 9 6 3 1 1 1 3 7 11 12 58 195 428 617 710 736 709 629 527 438 395 396 422 463 529 619 716 815 920 1022 1091 1141 1171 1181 1176 1172 1166 1168 1178 1177 1178 1162
11 18 25 33 38 38 32 24 17 12 9 7 6 7 7 7 7 7 6 6 6 5 5 5 5 5 4 4 4 3 3 3 4 4 4 5 6 7 18 35 46 51 49 46 43 39 34 29 24 21 21 22 22 19 14 10 7 5 4 5 6 6 6 6 5 4 4 6 11 14 14 10 9 9 10 12 12 11 12 14 17 27 29 30 30 29 28 26 24 23 22 21 21 19 19 20 20 18 15 13 13 14 16 13 13 12 11 13 17 26 32 34 35 33 24 17 13 10 8 8 9 8 5 2 1 1 3 7 12 15 32 135 338 505 592 610 594 543 471 400 353 348 387 431 498 586 691 800 902 995 1063 1108 1135 1154 1163 1164 1163 1157 1153 1141 1120 1086
4 8 14 21 29 37 38 37 36 34 31 26 19 14 10 7 6 6 6 5 5 5 5 5 5 5 5 5 4 3 9 11 13 14 14 16 20 25 33 44 58 68 64 57 51 45 39 34 28 23 21 20 17 13 10 9 7 6 5 6 7 7 7 6 6 5 3 5 11 17 16 13 10 10 11 11 11 10 13 20 25 29 30 29 27 25 24 24 23 22 21 20 21 20 20 21 23 21 18 16 16 17 17 16 15 13 12 13 20 30 39 43 44 39 29 20 14 10 8 8 9 10 8 4 2 2 3 7 12 15 22 88 248 401 478 502 492 462 419 370 323 294 350 412 483 572 675 781 885 971 1033 1074 1103 1122 1139 1149 1145 1120 1094 1064 1026 976
5 8 11 12 13 18 25 33 47 62 74 73 67 56 39 22 15 15 13 10 9 11 11 11 8 11 20 30 39 43 49 54 57 60 70 66 67 71 75 78 82 88 81 69 59 50 45 40 34 28 22 17 13 10 9 8 8 6 5 6 6 7 7 6 6 6 5 6 13 19 17 14 12 11 11 10 9 9 13 21 27 26 25 26 24 22 23 22 21 20 20 21 20 20 22 26 26 24 21 20 21 21 19 17 18 18 14 16 25 37 48 52 51 42 32 24 17 12 9 9 10 11 11 8 5 3 3 7 12 15 20 60 163 292 381 406 403 384 364 351 329 300 329 392 467 572 678 781 874 951 1004 1040 1068 1090 1104 1110 1095 1064 1024 973 914 846
8 9 9 8 7 8 12 21 39 64 90 100 104 107 104 90 68 61 55 53 54 54 54 64 75 81 83 85 95 105 115 118 117 122 140 137 131 126 123 124 117 108 97 82 68 54 48 42 36 29 22 14 11 9 8 8 7 6 5 5 6 6 6 6 7 7 8 8 13 20 21 16 14 11 10 9 7 8 17 22 26 22 18 21 21 20 20 20 19 19 20 21 20 20 20 25 27 26 24 23 24 24 23 20 19 21 17 18 24 39 56 61 57 47 35 25 20 16 13 12 13 15 16 13 9 5 4 6 12 17 20 49 116 210 311 335 319 298 296 326 331 328 341 379 440 559 676 781 867 939 978 1007 1027 1042 1054 1056 1035 999 949 886 810 737
4 5 6 7 6 7 10 15 24 38 53 64 77 97 119 137 134 135 144 155 154 134 130 139 150 151 140 128 124 125 130 135 135 141 149 150 146 136 129 129 119 109 99 86 70 55 46 40 33 27 21 14 11 9 8 8 7 6 6 5 5 5 5 6 7 9 11 13 19 25 23 15 12 11 10 9 8 13 18 20 21 18 12 14 16 18 18 19 18 18 20 23 23 20 19 22 26 28 27 27 29 30 28 24 22 22 21 21 26 41 61 68 61 49 35 26 20 19 18 18 17 19 19 17 14 10 7 7 12 16 23 43 92 167 245 271 250 224 244 285 315 340 366 397 452 550 662 770 855 918 954 970 977 990 1001 997 975 933 872 797 723 655
1 1 2 4 5 7 10 12 15 18 20 25 34 50 73 93 122 154 186 208 213 198 187 190 197 193 166 137 118 110 112 120 119 118 114 109 102 93 93 96 94 90 85 77 63 50 40 32 27 22 19 15 12 11 9 9 9 7 6 5 6 5 6 7 8 10 12 13 17 18 13 11 11 10 9 9 8 10 14 14 12 11 9 9 12 14 16 16 17 18 19 21 23 22 20 20 23 27 28 30 31 32 30 26 25 24 23 24 30 45 62 71 66 52 39 29 23 23 25 24 23 21 22 21 19 15 10 8 12 17 20 27 73 138 195 219 206 192 216 251 289 331 378 417 471 548 649 772 845 897 925 930 916 912 916 915 901 864 798 725 657 597
0 0 0 1 2 4 6 8 10 10 10 12 15 21 32 52 83 116 151 185 208 209 206 206 200 177 144 119 102 93 91 98 100 95 88 79 70 63 63 67 69 69 69 64 54 42 31 24 21 20 19 17 16 14 11 10 9 8 7 5 5 6 7 9 9 10 12 12 12 12 10 9 9 8 9 10 9 7 7 6 6 7 7 7 7 9 13 17 18 19 19 20 22 22 20 20 22 25 28 31 32 32 32 29 28 25 23 25 34 51 65 73 70 57 44 34 27 25 27 28 25 23 23 23 23 20 14 10 12 17 22 20 51 102 154 189 181 183 199 225 259 305 353 397 453 532 633 737 816 868 897 884 850 829 824 831 819 780 724 664 605 550
0 0 0 0 1 2 4 5 6 8 9 10 11 13 16 24 38 62 94 126 154 170 175 167 144 118 101 97 95 91 87 89 90 86 80 70 59 54 53 54 56 58 59 55 47 37 28 21 18 19 20 20 20 18 14 11 9 8 7 6 7 7 8 9 9 9 11 12 13 12 10 8 8 8 9 10 9 7 6 5 6 6 6 7 8 8 10 15 18 19 20 20 22 22 20 21 23 29 30 32 34 36 35 32 29 26 25 28 40 58 70 74 69 56 43 36 31 26 24 29 24 21 22 24 24 22 17 13 12 15 23 23 36 72 127 161 167 174 188 204 234 276 318 361 413 502 609 704 778 831 866 861 836 808 794 805 779 733 672 613 557 506
0 0 0 0 0 1 2 3 4 6 7 9 10 10 10 14 21 32 51 72 90 92 84 74 69 69 75 88 98 98 94 93 91 85 76 67 54 46 44 43 44 48 49 47 42 37 32 24 20 19 20 21 22 19 15 12 11 10 9 9 8 8 7 7 8 9 10 11 11 11 10 8 8 8 8 8 8 7 6 5 5 5 6 7 8 9 9 13 17 19 20 20 23 23 22 22 25 31 33 34 34 35 36 34 31 28 28 32 44 60 72 74 65 52 41 34 29 25 23 22 21 21 22 25 25 24 22 17 12 15 21 24 29 46 99 129 147 161 177 190 213 246 285 323 378 459 547 631 710 777 812 827 830 819 796 787 756 703 639 582 523 473
0 0 0 0 0 0 1 2 3 5 6 8 9 10 10 13 17 21 27 36 40 39 36 35 40 51 69 90 104 105 101 96 92 86 77 67 54 45 39 37 38 40 40 40 39 37 35 30 26 23 22 22 22 19 16 13 13 13 14 13 10 8 7 8 8 10 11 12 11 12 10 9 8 8 9 10 9 8 8 8 8 7 6 6 8 10 10 12 16 19 21 21 23 24 23 21 27 32 34 34 34 34 36 35 32 29 28 33 46 61 70 71 62 50 38 30 26 23 21 19 16 15 17 20 22 23 25 25 15 15 20 24 21 40 75 106 129 147 158 170 191 223 258 291 354 429 496 547 616 679 732 773 790 777 775 761 734 697 622 561 505 455
0 0 0 0 0 1 1 2 3 4 5 6 7 9 12 14 16 17 18 22 24 26 28 31 39 52 69 86 98 104 103 99 94 88 79 69 56 45 39 37 37 37 36 36 38 38 36 34 31 28 25 23 21 18 16 15 14 15 16 15 12 10 9 9 10 10 11 10 11 11 10 9 8 8 9 9 10 10 11 11 10 9 7 6 8 10 10 11 13 17 19 21 23 24 24 22 28 33 34 33 33 33 34 34 31 29 30 37 48 60 68 65 56 45 36 28 25 23 20 16 13 10 10 13 16 19 22 17 10 10 17 28 20 31 56 84 108 126 134 146 171 209 240 278 337 411 481 500 530 569 627 703 738 748 747 730 693 644 578 512 455 419
0 0 0 0 0 1 2 2 3 4 6 7 8 10 13 15 16 17 18 21 24 26 29 34 42 53 65 75 84 93 98 98 95 88 79 69 57 47 41 36 35 34 35 38 42 43 42 39 35 30 25 22 21 20 19 17 16 17 16 15 13 12 11 11 11 10 10 10 10 10 10 9 8 9 8 8 9 11 13 12 11 10 10 7 8 9 10 10 10 15 18 20 22 24 25 25 28 34 37 34 32 32 32 32 31 31 33 39 48 59 63 60 53 44 37 29 25 22 18 14 10 7 7 9 11 12 12 8 4 4 11 21 22 25 38 62 83 101 113 125 144 184 221 262 314 383 454 479 487 502 558 629 675 700 704 689 649 592 524 453 387 365
0 0 0 0 0 1 1 2 4 7 10 9 9 10 12 15 16 17 20 23 26 28 31 37 44 51 59 68 74 83 89 91 88 83 74 67 58 47 39 34 32 32 35 41 47 48 47 42 36 29 24 22 23 24 23 21 19 16 13 13 12 11 12 12 11 9 9 9 9 9 10 9 9 10 10 9 10 11 12 12 12 12 13 10 9 8 7 8 10 13 15 18 21 24 25 27 31 37 41 37 34 33 32 32 33 34 35 38 45 54 57 55 51 45 37 31 26 21 15 12 8 6 5 5 8 8 7 4 2 1 8 15 19 21 24 44 63 82 98 109 129 163 199 236 275 342 412 454 472 481 544 599 628 637 637 620 584 540 492 431 357 324
0 0 0 0 0 0 1 2 4 6 9 9 10 11 13 15 16 17 20 24 26 28 32 37 42 48 55 65 69 78 84 86 84 81 74 67 58 48 38 32 29 31 36 43 49 49 46 42 36 30 26 25 26 27 27 24 20 16 14 13 12 11 11 11 10 10 10 10 10 10 11 10 10 10 9 8 8 9 11 13 14 13 14 12 9 5 3 5 7 10 14 18 21 25 29 32 37 41 43 41 39 36 34 35 37 38 38 36 41 47 50 52 51 45 40 35 29 23 17 12 9 6 4 4 5 5 3 1 1 1 5 11 16 15 21 32 46 62 79 92 111 137 165 192 230 283 341 396 431 461 512 556 573 560 555 545 525 499 472 420 355 310
0 0 0 0 0 0 1 2 3 5 7 10 12 13 14 17 18 19 21 24 27 30 34 39 43 48 55 64 70 77 83 84 82 77 73 67 59 49 40 32 29 30 35 42 45 46 45 42 39 34 30 28 28 28 27 24 20 18 16 15 13 12 12 13 15 14 13 12 11 11 12 11 10 10 9 7 7 9 11 14 14 13 12 11 7 2 2 4 6 9 13 18 22 27 33 38 40 42 42 41 40 38 37 38 39 39 36 35 38 42 46 50 52 50 46 40 35 29 22 16 11 7 6 4 3 2 2 0 0 1 2 6 12 13 16 22 30 39 53 67 84 102 122 144 178 224 285 349 376 414 459 497 505 491 483 483 482 468 445 402 349 305
0 0 0 0 0 0 1 2 3 4 7 9 13 15 16 18 20 23 25 28 31 34 39 42 46 50 58 65 72 77 80 76 75 71 69 67 62 54 42 34 29 28 32 39 43 46 46 45 42 38 33 30 28 27 25 22 20 19 18 16 13 12 13 15 15 15 14 14 14 13 12 11 10 9 9 9 9 10 12 14 13 12 10 7 4 2 3 6 9 10 15 18 23 30 38 43 44 44 43 43 42 41 41 40 39 36 33 34 36 39 43 50 55 55 52 46 41 33 24 17 12 9 6 4 2 1 0 0 0 0 1 3 6 8 10 12 17 23 32 41 52 63 82 106 134 172 229 281 315 349 390 437 450 442 428 417 418 409 392 358 313 268
0 0 0 0 0 0 1 1 2 4 7 11 14 17 19 22 25 29 32 35 38 42 45 48 51 57 64 71 75 76 72 67 66 65 65 64 60 53 43 35 29 27 30 36 42 48 50 48 46 42 37 32 30 28 23 20 19 19 19 16 12 10 12 14 16 18 19 18 17 15 13 11 11 11 11 11 12 14 14 13 11 9 7 5 3 2 4 6 9 11 14 18 24 32 42 46 47 47 47 47 46 45 45 44 41 36 33 32 34 39 44 52 59 60 53 49 44 35 25 17 11 7 5 3 2 0 0 0 0 0 1 2 3 3 4 3 9 14 18 20 28 39 58 78 98 122 166 203 231 254 291 332 355 356 342 333 328 322 303 274 238 209
0 0 0 0 0 0 0 1 2 5 8 13 17 21 24 28 32 36 39 43 49 54 57 58 63 68 74 79 79 73 65 61 60 60 60 59 52 46 39 32 29 28 29 34 40 45 48 47 47 45 41 36 32 30 26 22 20 20 20 17 13 10 10 13 18 21 22 22 20 17 15 14 13 12 11 11 11 13 11 8 5 4 3 1 1 2 3 4 5 7 11 16 22 28 38 43 45 45 45 46 48 50 49 45 42 38 33 31 36 44 49 54 58 58 49 48 44 36 24 14 7 3 1 1 0 0 0 0 0 1 1 1 0 0 0 1 3 6 9 9 19 30 43 56 66 80 101 127 151 165 192 220 242 250 242 244 235 220 205 190 174 156
0 0 0 0 0 0 0 0 1 4 8 13 18 23 29 33 37 41 45 52 60 66 70 73 79 83 85 85 78 68 61 59 60 60 57 56 51 44 37 30 29 28 29 31 36 41 43 44 45 46 45 40 36 33 29 25 23 22 21 19 15 12 10 13 18 22 24 24 23 20 18 17 16 16 14 12 9 8 7 5 4 3 2 2 2 1 1 2 1 2 4 7 10 16 24 29 33 36 40 43 48 53 54 49 45 41 36 34 43 50 53 54 53 50 50 50 46 37 24 12 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 2 1 5 10 16 24 34 39 45 57 74 98 121 145 165 181 193 189 188 184 179 176 165 161 156
0 0 0 0 0 0 0 0 1 4 7 11 17 24 30 36 40 44 50 57 65 72 80 88 92 90 86 79 70 63 60 62 64 62 58 55 51 46 38 31 28 25 25 28 32 38 40 42 43 45 47 42 38 35 32 28 25 23 22 20 18 14 12 13 16 20 22 23 21 18 17 17 18 19 18 13 10 6 4 4 4 4 3 3 3 3 2 1 1 1 1 2 2 5 9 14 23 30 33 36 40 45 52 53 52 50 45 43 49 54 53 46 45 51 57 57 49 35 20 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 3 1 1 4 6 7 11 17 24 31 39 57 81 125 170 178 185 185 181 176 167 160 158 165 176
0 0 0 0 0 0 0 0 1 3 6 10 15 23 29 35 40 47 52 62 72 81 90 97 92 85 78 70 64 61 61 61 63 63 61 58 55 49 40 33 28 25 24 27 31 37 39 41 42 44 43 41 39 38 35 29 27 24 21 19 18 15 14 14 15 17 17 16 15 13 13 14 16 18 16 14 11 7 5 3 3 4 4 4 4 3 2 1 1 0 0 0 0 1 2 4 10 18 22 26 30 34 45 58 69 69 59 54 53 53 52 48 55 66 71 65 50 32 15 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 2 0 0 1 1 1 4 6 7 7 12 19 28 47 94 118 135 153 167 166 142 130 126 132 154
0 0 0 0 0 0 0 0 1 2 5 10 16 22 28 36 44 52 56 65 75 86 99 104 96 87 81 74 68 65 68 69 66 64 64 63 60 53 42 34 30 26 26 30 33 36 38 40 42 43 41 40 40 38 34 30 26 23 19 17 16 14 13 12 13 14 13 12 11 11 12 13 14 15 15 14 12 10 7 5 4 5 5 4 4 3 2 1 1 0 0 0 0 0 0 1 4 11 18 24 27 29 35 50 68 72 68 62 57 55 57 61 70 78 80 64 42 22 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 2 2 3 4 2 0 1 3 5 2 1 2 3 4 6 17 27 41 59 70 65 74 79 77 80 98
0 0 0 0 0 0 0 0 0 2 5 10 16 23 29 36 44 52 65 74 82 93 105 112 107 99 90 82 77 74 73 71 67 67 66 65 62 54 43 36 32 31 31 33 35 36 38 42 46 45 42 38 36 34 31 28 25 22 19 16 15 14 13 13 11 12 12 11 10 10 11 12 13 14 15 15 14 12 9 8 6 6 6 5 4 3 2 2 1 0 0 0 1 1 1 1 4 11 22 31 37 34 30 33 51 65 72 72 67 67 70 73 74 73 67 48 29 12 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 9 8 3 1 1 3 6 3 2 2 2 2 4 7 7 6 11 12 12 19 28 35 41 47
0 0 0 0 0 0 0 0 0 1 5 10 17 24 31 39 50 62 71 81 91 102 106 114 117 113 103 95 88 85 81 75 71 72 67 62 60 55 48 40 37 37 39 41 40 39 41 46 50 48 43 38 34 31 28 25 22 20 17 15 14 13 12 12 12 11 10 10 10 10 11 15 17 16 17 17 16 15 14 12 11 11 9 6 4 2 2 1 0 0 0 1 2 3 4 6 7 11 19 30 36 35 29 27 40 62 78 84 83 85 86 83 75 63 48 32 17 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 10 8 4 2 3 4 4 3 4 8 10 12 26 41 43 34 24 12 6 6 7 11 18 23
0 0 0 0 0 0 0 0 0 2 5 12 20 29 40 53 57 60 69 83 101 116 119 127 132 128 115 105 93 85 82 80 76 72 65 58 55 54 51 47 45 47 50 49 44 42 46 51 51 48 42 36 31 28 25 22 19 17 15 14 13 12 14 14 13 11 11 11 12 13 15 19 22 18 18 17 17 16 17 16 14 12 9 6 3 2 1 0 0 0 1 2 4 7 9 9 7 6 10 16 23 28 31 41 59 81 96 100 98 95 91 85 76 60 44 28 13 5 2 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 7 5 2 2 4 4 6 8 16 28 55 88 119 133 128 106 74 60 48 24 8 9 6
0 0 0 0 0 0 0 0 1 5 11 23 36 49 59 68 75 83 86 94 122 137 144 145 140 132 121 113 107 102 95 86 79 71 63 57 55 53 50 48 50 53 55 50 46 46 51 57 54 48 40 35 30 26 23 22 18 16 15 15 13 13 15 16 14 12 12 12 13 14 17 19 21 19 17 17 18 15 14 13 12 10 8 5 3 1 0 0 0 1 2 5 9 12 12 9 6 5 5 7 12 21 37 67 96 119 134 132 117 103 93 84 73 57 41 26 14 7 3 2 2 2 4 5 4 1 0 0 0 0 0 0 0 0 0 0 0 1 3 5 3 0 1 2 3 7 12 21 37 66 105 148 184 204 207 205 183 164 130 88 58 29
1 1 1 0 0 0 0 1 5 12 21 31 40 48 53 59 68 80 95 114 139 153 164 160 143 133 127 125 121 115 105 90 81 73 65 53 55 53 51 51 52 53 53 51 48 50 56 61 59 51 44 36 29 24 21 20 18 17 16 16 15 16 18 20 19 14 14 13 13 14 16 18 19 18 18 18 18 15 13 13 12 9 7 5 3 2 0 0 0 2 4 8 10 10 7 6 4 4 4 4 7 18 46 83 122 155 164 154 132 106 85 69 56 42 31 23 17 12 8 5 4 5 7 9 9 4 1 0 0 0 0 0 0 1 2 2 0 1 3 4 2 0 0 1 3 6 11 18 28 43 64 96 138 177 203 238 250 252 238 207 168 114
2 3 3 2 0 0 0 3 8 15 21 28 36 43 50 56 60 70 86 106 127 147 162 170 170 161 153 147 142 133 112 92 77 67 61 51 54 55 55 55 57 54 51 49 50 56 62 63 59 52 44 34 27 23 20 19 18 17 16 16 17 18 20 22 21 16 13 12 13 16 18 19 20 20 20 19 17 15 13 12 12 10 7 5 4 1 0 0 1 3 8 10 10 8 6 5 4 3 2 3 5 11 32 68 114 153 149 130 105 82 59 39 26 20 18 16 16 16 15 13 11 11 11 11 11 11 6 2 1 0 0 0 0 0 1 0 0 1 3 3 1 1 4 7 7 7 8 10 14 17 24 38 59 83 106 144 179 202 210 208 195 167
2 4 4 2 1 0 1 3 7 12 16 23 31 38 43 49 56 65 79 98 120 142 159 168 179 188 194 189 171 146 121 96 75 63 61 55 56 58 61 61 62 57 51 49 54 64 69 67 59 50 41 32 25 22 21 21 20 18 16 16 16 17 19 21 20 16 13 12 13 17 19 20 21 22 22 19 17 16 15 16 14 11 8 6 4 2 0 0 0 1 6 8 8 8 7 5 4 3 1 1 1 6 20 44 80 120 120 98 73 50 35 21 12 9 9 9 12 16 22 27 23 21 21 18 15 19 15 7 3 1 0 0 0 0 0 0 0 0 1 1 1 2 5 8 9 7 4 3 3 4 4 6 11 16 19 30 52 75 100 118 130 135
2 4 5 3 2 1 1 1 3 7 11 16 23 35 37 43 51 62 74 92 113 135 153 163 170 177 183 184 175 152 129 108 92 75 69 59 53 53 58 65 64 60 56 56 62 70 73 69 59 46 37 29 23 21 20 22 21 19 17 15 16 16 17 19 17 15 14 15 16 20 22 23 22 21 21 19 18 18 17 18 17 14 10 7 5 3 2 1 0 0 2 4 7 9 7 6 4 3 1 0 1 3 10 22 50 83 93 78 50 37 26 16 9 6 4 5 10 18 28 38 36 31 29 27 19 18 19 13 8 3 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 3 1 0 0 0 1 0 1 1 0 1 5 12 28 46 61 76
4 5 5 4 3 1 1 0 0 1 2 4 10 23 20 28 43 58 69 86 106 127 146 158 164 173 176 169 152 132 113 101 95 87 77 61 49 45 49 59 65 66 67 70 76 79 76 67 56 43 35 28 23 20 20 20 20 19 18 17 18 19 19 17 15 14 14 15 18 20 22 22 22 19 19 18 17 18 18 19 19 17 13 9 7 5 3 1 1 0 1 3 5 8 8 7 4 3 1 0 0 2 6 13 37 62 77 70 45 32 22 13 8 8 8 9 13 22 32 42 45 41 36 36 30 24 24 22 15 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 1 5 14 23 33
6 8 8 6 4 2 1 1 0 1 1 3 7 15 18 25 33 39 51 71 96 120 136 148 156 161 160 151 130 109 91 79 74 73 67 60 54 45 47 56 65 73 81 86 89 88 82 69 57 45 36 29 25 22 20 19 18 18 16 18 21 22 20 17 15 15 16 17 19 21 21 21 19 17 16 17 18 19 21 21 20 19 16 12 9 6 5 3 2 1 0 2 5 7 8 7 5 3 2 1 0 1 6 10 25 47 69 61 46 32 21 12 10 11 14 18 21 30 39 45 48 49 44 39 36 34 33 36 31 18 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 0 0 3 6 9
6 9 10 8 6 3 2 2 1 1 2 3 13 22 26 26 22 22 28 49 81 113 121 132 142 149 148 135 107 86 73 67 62 53 46 45 48 51 56 64 73 79 89 93 93 91 87 74 62 50 39 30 25 22 20 18 17 18 17 19 23 24 22 19 17 18 19 21 24 24 23 21 19 16 15 16 18 21 23 23 22 20 16 12 8 6 6 4 3 1 0 1 4 6 8 7 5 4 2 1 0 0 4 10 22 46 64 62 52 40 26 16 14 17 21 22 26 33 39 42 42 46 46 43 42 44 43 44 43 30 11 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 1 2
5 8 11 10 8 6 4 3 2 2 3 6 21 31 37 36 23 22 23 34 51 66 98 119 132 136 129 107 84 66 56 52 46 37 32 31 34 39 48 62 77 81 90 94 94 93 91 83 71 56 40 30 24 21 19 18 19 22 23 24 25 25 23 21 20 21 23 25 28 29 26 23 19 16 15 14 18 22 24 24 22 18 15 12 10 6 5 4 3 2 0 1 3 5 6 7 5 4 3 2 0 1 3 8 19 54 68 68 60 49 30 20 19 24 34 34 33 35 40 43 44 43 42 42 46 52 54 53 48 37 18 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
2 6 10 11 10 7 4 5 4 4 5 12 22 28 32 32 20 20 25 34 44 49 89 112 119 117 104 84 64 49 40 36 34 29 25 26 29 32 36 46 63 76 88 88 85 91 95 89 75 55 37 30 25 22 21 20 22 26 29 30 28 26 24 23 22 23 27 30 32 32 30 25 21 17 15 15 19 22 23 22 19 16 12 8 7 6 4 3 2 1 0 1 2 4 6 6 6 5 4 2 1 1 3 6 18 51 73 79 71 59 41 28 23 26 36 38 36 36 44 44 41 39 38 43 50 58 63 61 53 40 24 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
1 3 8 11 12 9 6 7 7 5 4 8 15 17 16 16 15 19 27 39 53 62 69 74 78 80 72 56 40 28 27 22 17 14 16 24 27 28 31 37 49 63 78 91 103 110 103 93 75 53 37 32 28 25 23 24 27 30 32 33 29 27 25 24 23 22 28 34 36 36 32 26 21 18 16 18 21 23 23 20 18 15 11 9 7 6 4 3 2 1 1 1 3 4 5 6 6 6 4 2 1 1 3 6 26 56 83 94 85 71 54 39 31 35 39 41 39 32 40 41 39 37 38 47 58 68 75 68 56 41 27 13 8 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 2 7 11 13 11 8 8 7 5 3 2 3 5 9 12 15 21 31 45 59 71 76 74 66 50 44 33 21 13 13 11 9 8 11 17 21 23 27 34 41 52 66 80 95 102 103 93 73 54 43 38 35 32 28 29 31 33 34 34 31 29 27 28 30 33 36 40 41 38 33 28 23 19 19 20 22 23 22 18 15 12 10 8 6 5 4 3 2 1 1 2 4 5 5 6 7 6 4 3 2 1 3 8 26 58 95 102 96 84 69 53 44 44 47 51 49 38 37 37 38 42 45 55 68 78 82 72 58 43 29 17 12 8 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 2 5 9 11 10 9 7 5 3 2 2 4 6 9 13 17 25 38 54 70 79 79 72 68 54 40 26 16 10 10 10 9 7 5 4 10 16 21 27 29 43 61 76 93 99 96 84 65 55 51 47 43 37 34 34 36 38 38 36 35 33 33 35 37 39 42 45 45 42 37 33 28 25 25 27 28 26 23 19 15 12 10 8 6 4 3 2 1 1 1 2 4 4 5 6 7 6 5 3 2 2 4 11 29 60 97 109 112 108 96 73 58 51 52 61 59 49 42 38 37 44 52 64 77 85 84 75 61 47 32 21 15 11 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 1 3 6 10 10 9 7 6 5 4 4 5 7 10 18 25 34 48 64 79 86 81 69 62 51 38 25 16 11 10 10 9 8 5 7 10 13 17 21 28 41 55 71 77 72 68 67 64 58 52 46 42 40 40 40 41 41 40 39 38 39 41 43 46 48 50 49 48 45 41 37 32 33 36 37 35 30 26 20 16 12 9 7 5 3 2 1 1 1 0 1 2 3 4 5 6 6 6 5 3 3 5 10 23 62 94 116 130 134 117 91 70 57 55 69 70 64 56 49 49 51 58 69 85 92 91 82 66 49 35 25 19 16 13 6 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 1 3 9 10 9 9 9 8 6 6 7 9 9 27 45 60 75 83 96 95 81 67 59 47 34 23 16 13 10 9 8 6 5 7 10 13 16 23 33 45 59 72 75 77 77 75 66 58 52 49 47 46 47 46 43 42 42 43 44 47 55 57 56 55 56 52 49 47 46 45 44 45 45 43 37 29 23 18 14 9 8 6 4 2 2 1 1 1 0 0 1 1 2 4 5 6 7 6 4 3 5 9 12 50 89 119 137 139 120 99 80 70 69 79 81 72 51 47 51 59 67 77 92 99 98 88 66 49 37 29 24 23 17 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
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