Vorticity
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nan 8 7 7 7 9 10 10 9 8 7 7 7 7 8 8 8 8 9 9 9 8 8 9 8 7 7 7 7 8 9 9 9 9 9 8 7 7 7 7 7 7 7 8 8 8 7 6 7 7 8 8 7 7 7 7 8 7 7 7 7 8 8 8 8 9 9 9 8 8 7 8 8 7 7 7 7 8 8 8 7 8 8 8 8 8 7 7 7 7 7 9 13 15 14 14 15 16 17 15 13 13 14 14 13 11 10 8 7 7 6 6 6 6 7 7 7 7 7 7 7 7 6 6 6 6 6 6 5 5 5 5 5 5 nan
nan 7 7 6 7 8 9 9 9 8 8 7 7 7 8 8 8 8 9 9 9 8 8 9 9 8 7 7 7 7 8 9 9 9 9 9 8 7 7 7 7 7 7 8 9 8 7 6 6 7 7 8 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 8 10 11 12 13 14 15 15 14 14 15 16 16 15 13 11 9 8 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 5 5 5 5 nan
nan 6 6 6 6 7 8 9 8 8 8 7 7 7 7 7 7 8 8 9 9 8 8 8 8 8 8 7 7 7 7 8 9 9 9 9 9 8 7 7 7 7 8 9 9 8 7 6 6 6 7 7 8 8 8 7 7 7 7 7 7 8 8 8 8 8 9 10 10 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 6 7 8 8 9 10 11 12 11 10 11 12 14 16 17 17 15 13 10 8 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 nan
nan 6 6 6 7 7 8 9 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 8 8 7 7 7 8 9 10 10 9 9 9 9 8 8 9 9 9 9 8 8 7 7 6 7 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 8 8 8 8 7 7 7 8 8 9 8 8 8 8 8 8 8 7 6 6 7 8 8 8 8 9 9 8 7 8 11 14 17 18 17 16 14 11 8 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 nan
nan 7 8 8 7 7 8 9 9 8 8 8 7 7 7 7 7 7 7 7 8 9 9 9 9 9 9 9 9 8 7 6 7 8 10 10 10 10 9 9 9 9 9 10 9 9 9 9 8 7 7 8 8 9 8 8 8 8 7 7 7 7 8 7 7 7 8 8 9 9 9 9 9 9 8 7 8 8 8 9 9 8 8 8 8 8 8 7 7 7 8 8 7 7 7 7 7 7 7 8 10 14 17 19 18 16 14 11 8 7 6 6 6 7 7 7 7 7 7 7 8 8 7 7 7 7 7 6 6 6 6 6 6 6 nan
nan 7 8 9 8 8 8 9 9 9 8 8 8 7 7 7 8 8 8 8 8 9 10 10 10 10 10 9 9 9 8 7 6 6 7 9 9 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 8 8 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 8 8 8 8 8 9 9 8 7 7 8 8 7 7 8 8 9 8 7 7 7 6 6 7 7 8 9 12 16 18 19 18 14 11 8 7 6 6 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 6 6 6 6 6 6 nan
nan 7 8 9 9 8 8 9 9 9 8 8 8 8 7 8 8 9 9 9 9 9 10 10 10 10 9 8 8 8 8 8 7 6 5 6 7 9 10 10 9 8 8 7 7 7 7 8 8 8 9 8 8 9 9 9 9 9 8 8 8 7 7 7 7 7 8 8 8 8 8 8 9 9 8 8 8 8 9 9 8 8 7 7 7 7 7 8 8 9 9 8 8 7 7 6 6 6 7 7 8 10 12 15 19 19 16 12 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 nan
nan 8 9 9 9 8 8 8 9 9 9 8 9 9 8 8 9 10 10 11 11 11 10 10 9 9 8 7 7 7 8 8 8 6 4 3 5 7 9 10 10 9 8 6 5 4 4 5 6 7 8 8 8 8 9 9 9 9 9 9 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 7 7 7 7 8 9 9 9 9 8 7 7 7 6 6 6 7 7 7 7 8 12 16 19 18 16 12 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 7 nan
nan 8 9 9 9 8 8 9 9 9 9 9 9 9 9 9 10 11 11 11 11 11 10 10 9 8 7 7 8 8 8 8 8 7 5 3 3 6 8 9 9 10 9 7 5 3 3 3 4 5 6 6 7 7 7 7 8 9 9 9 9 9 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 10 10 9 9 8 7 7 7 6 6 6 6 7 7 6 7 9 11 14 18 19 17 13 10 8 7 7 7 7 7 7 8 8 8 9 8 8 8 8 7 7 7 7 7 7 7 7 nan
nan 8 8 9 8 7 7 9 10 10 10 9 9 10 10 10 10 11 11 11 10 10 10 10 9 8 8 7 8 8 8 8 8 7 6 5 4 5 7 8 9 9 9 7 5 4 3 3 4 4 5 5 5 4 4 5 6 8 9 10 10 10 9 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 8 8 7 7 7 7 8 9 10 10 9 9 8 7 7 6 6 6 6 7 7 7 6 7 7 8 10 13 18 19 18 15 11 8 7 8 7 7 7 8 8 9 9 9 9 8 8 7 7 7 7 7 7 7 7 nan
nan 6 7 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 7 7 7 7 8 8 8 7 7 6 5 6 7 8 9 9 8 7 6 5 4 5 6 6 6 5 4 3 2 2 4 6 8 10 11 11 10 8 7 7 7 7 8 8 9 8 8 8 8 8 8 9 9 9 8 8 7 7 8 8 9 9 9 9 9 8 7 7 7 7 6 6 7 7 7 7 7 7 8 8 9 12 15 17 16 12 9 9 10 11 11 10 8 8 9 9 9 9 8 8 8 7 7 7 7 8 8 8 nan
nan 5 5 6 8 9 9 9 9 10 10 10 10 10 10 11 11 10 10 9 8 8 8 7 7 6 6 6 6 6 7 8 8 8 8 7 7 7 7 8 9 9 8 7 6 5 6 7 8 8 7 6 5 4 3 2 2 3 5 8 10 11 10 9 8 7 7 7 7 8 8 8 8 8 7 8 8 8 9 9 8 8 7 7 8 8 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 7 7 7 8 10 12 13 12 10 10 12 16 17 14 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 nan
nan 4 4 4 6 7 8 8 9 9 10 9 9 9 9 10 10 10 10 9 8 8 8 8 7 6 6 5 5 5 6 7 8 8 8 7 7 8 8 9 9 9 8 7 6 6 7 8 9 9 8 7 6 5 5 3 2 2 3 5 8 9 9 9 9 8 8 7 7 7 8 8 8 8 7 7 8 8 8 8 8 8 7 8 8 9 9 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 7 6 6 6 7 9 10 10 11 12 15 19 20 16 12 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 nan
nan 4 3 3 3 5 6 7 9 10 9 8 8 8 8 8 8 8 9 8 8 9 8 8 8 7 6 5 5 5 6 7 7 7 7 7 7 7 8 9 10 10 8 7 6 6 7 8 9 9 8 7 5 5 6 6 5 4 4 5 7 8 8 9 9 9 9 8 8 8 7 7 8 8 7 7 7 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 7 7 8 9 8 8 7 8 8 8 7 7 6 6 7 7 8 9 11 13 18 20 18 14 11 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 nan
nan 5 4 3 4 4 5 6 8 9 9 8 7 7 7 7 7 8 8 8 8 8 9 9 8 7 7 6 6 6 6 7 7 7 6 6 6 6 7 8 10 10 9 7 5 5 6 7 7 7 8 7 6 6 7 7 7 6 6 6 7 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 8 8 8 9 9 9 8 7 8 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 9 11 16 20 20 15 11 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 7 nan
nan 7 6 5 5 5 5 6 8 9 10 8 7 6 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 7 8 7 6 5 5 5 6 7 9 10 9 8 6 5 5 5 5 6 7 8 8 8 8 8 8 7 6 7 8 10 11 10 10 10 10 10 9 8 8 8 8 8 8 7 7 7 8 8 8 7 7 8 8 9 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 9 12 17 20 17 10 7 8 10 10 9 9 10 10 10 9 9 9 8 8 8 7 7 nan
nan 8 7 5 6 6 5 6 7 9 10 9 7 6 6 7 8 8 9 9 8 8 8 8 8 8 8 8 8 7 6 7 7 7 6 5 4 5 5 7 8 9 10 9 8 6 5 4 4 4 6 7 8 8 8 7 7 7 6 7 8 10 11 11 11 10 11 10 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 8 8 9 12 16 15 9 4 5 9 11 9 9 9 9 9 9 9 9 8 8 7 7 7 7 nan
nan 8 6 5 5 6 6 6 6 8 10 10 8 7 6 7 7 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 5 5 6 7 8 9 10 10 9 8 7 5 4 4 5 5 6 6 6 6 6 6 6 8 9 10 10 10 10 11 11 11 10 9 8 8 8 8 8 8 8 9 9 9 8 8 7 6 7 7 7 8 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 10 12 10 6 4 7 10 11 10 10 10 9 9 8 8 8 8 7 7 7 7 7 nan
nan 8 7 5 6 7 7 6 5 5 7 8 8 8 7 8 8 8 9 9 10 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 7 7 8 10 11 11 10 8 7 6 4 2 3 4 5 5 6 6 7 8 10 10 10 8 7 8 10 11 11 11 10 10 9 9 9 8 8 8 9 9 9 9 8 8 7 7 7 7 8 8 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 9 10 9 8 8 8 10 11 12 13 12 10 8 7 7 7 7 7 7 7 7 8 nan
nan 8 8 8 8 8 7 6 5 4 5 6 7 8 8 8 8 8 9 10 10 10 9 9 8 7 7 8 8 7 8 8 8 8 7 8 8 7 6 6 6 7 9 10 11 10 10 9 8 4 1 1 3 5 6 6 6 8 10 10 10 8 6 4 6 7 8 10 11 12 12 11 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 10 10 10 12 14 15 15 11 7 7 7 7 7 7 7 7 8 8 nan
nan 10 11 11 11 10 8 6 5 4 3 4 6 7 8 8 8 9 9 10 10 10 10 9 8 7 7 7 7 8 8 8 8 7 7 8 8 8 7 6 5 6 7 9 10 10 11 11 10 6 2 1 2 4 5 6 7 9 10 10 9 7 4 4 5 4 5 7 9 11 12 12 12 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 8 7 7 8 8 9 8 9 9 9 9 9 9 8 8 8 8 8 8 9 11 12 13 14 15 17 19 17 12 8 7 6 7 7 7 7 7 8 8 nan
nan 15 15 15 14 13 11 9 7 6 5 4 5 7 8 9 9 9 9 9 10 10 10 10 9 8 7 7 8 8 8 8 8 8 7 7 7 6 6 5 5 5 6 8 10 10 11 11 10 8 5 4 3 3 4 6 8 10 11 10 8 5 4 4 4 3 3 4 6 8 10 12 12 12 11 10 9 10 9 9 8 8 9 9 8 8 8 8 9 9 8 8 8 9 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 10 13 15 17 17 17 18 18 15 10 8 6 6 7 7 7 7 8 8 8 nan
nan 21 20 18 17 16 16 14 13 12 10 9 7 8 9 10 11 10 10 10 10 10 12 12 10 9 8 9 9 9 9 9 10 10 9 7 6 5 5 5 4 4 5 7 9 10 10 11 10 9 8 7 5 4 4 6 8 10 11 11 8 5 5 5 5 4 3 3 4 5 7 10 11 12 12 11 10 10 10 9 8 8 8 8 8 8 7 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 9 11 13 15 16 15 14 13 13 10 8 6 6 6 7 7 7 7 8 8 8 nan
nan 22 21 19 19 20 21 22 21 21 19 17 14 12 12 13 14 13 13 12 12 13 15 14 13 12 11 11 12 11 10 10 10 11 11 9 7 5 5 5 4 4 5 6 8 9 10 10 10 10 10 9 7 6 5 5 6 8 9 9 8 7 6 6 5 5 4 3 4 4 6 7 9 10 11 11 11 11 10 10 9 9 9 8 8 7 7 8 9 8 8 8 9 9 8 9 9 9 8 8 9 9 8 8 8 8 8 8 9 9 9 8 9 9 10 11 12 12 10 8 8 8 7 6 6 6 6 7 7 7 7 7 7 7 nan
nan 19 18 18 18 20 22 25 26 26 25 23 20 18 16 15 15 15 15 15 15 16 17 17 16 14 13 13 13 12 11 10 10 10 11 10 9 8 8 7 6 6 6 7 8 9 9 9 9 9 10 10 9 7 5 4 4 5 6 6 6 6 6 6 6 6 5 5 4 4 5 6 6 8 9 10 11 11 10 10 9 9 9 9 8 8 8 9 9 8 8 8 9 9 9 9 9 9 8 9 9 9 9 8 8 8 8 9 9 10 9 9 9 9 10 10 10 9 8 9 10 10 7 6 6 6 6 7 7 7 7 7 7 7 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
154 159 151 129 123 126 131 144 171 194 213 248 316 409 493 550 584 593 585 542 367 236 154 108 76 42 19 1 2 6 25 57 60 29 7 3 3 2 1 1 0 0 0 0 0 0 0 22 47 37 25 29 0 1 4 6 6 7 11 14 13 7 1 0 0 0 0 0 0 0 0 0 0 0 9 43 75 90 100 146 320 641 925 928 738 729 968 1205 1214 888 613 569 653 658 591 540 558 603 643 695 611 435 351 276 219 179 150 133 134 149 146 117 104 108 128 164 262 464 687 837 860 799 828 879 869 912 1037 1130 1076 1154 1343 1453 1637 1741 1800
124 112 105 89 89 93 101 114 120 125 138 170 241 360 508 665 699 663 615 607 521 361 228 164 132 99 59 11 22 41 85 108 94 51 16 2 1 1 1 0 0 0 0 0 0 0 11 40 44 8 11 16 0 6 12 15 9 5 7 9 7 1 0 0 0 0 0 0 0 0 0 0 0 1 8 35 72 101 136 227 439 718 877 774 596 718 1055 1176 948 703 631 677 691 619 531 498 499 494 492 457 363 260 195 149 120 108 105 106 100 91 76 60 50 53 64 96 173 305 447 566 732 685 682 785 866 912 1056 1172 1097 1036 1199 1406 1620 1856 1960
90 82 78 57 53 54 60 73 84 91 99 129 197 291 406 623 772 776 693 603 460 325 238 189 155 125 97 37 69 113 159 172 152 96 35 4 1 1 1 0 0 0 0 0 0 0 13 53 70 1 1 2 5 15 32 34 15 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 1 11 30 52 81 125 246 484 716 773 659 585 745 1023 934 707 676 724 716 623 524 485 463 399 351 335 283 206 144 107 82 67 61 61 59 51 44 42 46 44 44 50 67 114 203 330 467 642 639 652 744 863 913 972 1065 1081 1043 1135 1361 1662 1902 1984
67 60 55 37 29 26 26 38 54 70 84 112 161 192 242 425 679 752 693 625 572 473 328 208 152 123 111 64 115 176 208 225 208 150 70 12 9 1 3 4 1 0 0 0 0 0 4 16 21 0 1 29 49 27 18 15 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 36 46 50 109 271 520 707 701 638 703 911 878 781 707 708 703 620 497 437 427 360 278 234 199 156 114 84 64 51 45 39 34 33 31 29 31 34 36 37 38 48 80 148 301 459 566 652 665 687 773 863 939 1045 1064 1001 1107 1300 1602 1843 1948
62 50 42 27 13 5 4 11 24 42 62 86 113 123 146 250 454 620 638 597 571 517 388 238 157 116 102 87 148 262 348 326 240 175 127 72 61 49 55 31 7 1 0 0 0 0 0 0 1 12 23 10 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 26 35 49 124 293 507 650 643 618 694 759 733 700 648 585 534 471 369 319 289 232 186 156 127 94 67 51 42 32 23 15 12 13 14 16 20 23 26 28 33 42 62 102 198 313 471 620 634 587 639 802 978 1072 970 970 1117 1275 1465 1709 1905
72 53 41 22 6 1 0 0 4 15 35 57 71 68 75 137 284 487 559 555 589 631 557 346 183 127 121 109 157 289 393 343 236 194 174 148 108 67 36 12 19 12 3 0 0 0 0 0 1 36 38 10 1 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 2 0 6 10 23 74 185 349 511 523 522 530 528 560 562 493 390 327 283 214 173 147 117 104 94 77 59 46 39 34 27 18 5 4 6 6 9 11 12 14 19 28 37 52 72 100 146 297 483 559 536 556 781 998 947 863 970 1141 1260 1353 1540 1785
98 88 60 31 8 1 0 0 0 3 14 36 50 27 21 43 134 337 459 491 536 609 609 431 207 128 128 117 158 294 366 310 234 203 176 118 40 28 36 50 66 43 12 1 0 0 0 1 14 73 22 1 1 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 10 6 2 0 0 4 24 83 210 374 397 379 371 395 374 331 274 201 156 123 93 66 54 46 47 47 44 41 38 36 30 25 16 9 6 6 7 8 9 10 10 11 19 27 38 52 63 92 200 383 548 644 555 755 873 914 912 961 1085 1182 1245 1411 1582
119 107 81 50 18 3 0 0 0 0 4 18 47 19 9 10 51 185 332 417 465 544 600 467 192 89 97 115 173 283 337 310 258 192 121 19 13 33 86 108 99 64 22 1 0 1 0 0 3 49 25 5 1 4 5 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 4 10 9 3 0 0 0 3 16 49 131 187 181 179 181 172 149 124 111 82 59 52 45 38 35 35 35 35 34 34 33 32 26 22 18 13 8 7 8 8 9 9 9 10 13 17 22 34 49 70 120 226 359 633 571 715 850 907 898 926 1037 1132 1195 1318 1438
184 139 105 67 32 8 0 0 0 0 1 6 35 28 21 13 40 142 271 352 381 438 543 445 189 82 96 145 206 279 332 334 283 185 83 11 35 87 137 136 111 76 31 0 3 20 11 4 1 5 2 1 6 12 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 8 5 1 0 0 0 1 7 27 58 62 62 77 90 88 77 63 55 45 39 37 34 33 34 34 35 34 32 31 30 28 25 21 18 14 10 7 7 8 8 8 9 10 11 13 16 24 39 62 94 131 152 389 516 725 925 1031 1007 962 1041 1085 1129 1184 1278
230 154 121 90 55 22 4 0 0 0 0 1 16 27 36 45 68 128 214 280 297 320 445 381 247 180 188 226 274 326 355 329 273 173 60 16 66 133 168 162 136 100 50 31 43 70 40 17 3 2 11 19 11 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 4 8 6 3 2 1 0 0 3 17 23 23 32 49 61 60 51 40 36 33 31 28 26 28 30 30 31 32 31 30 29 28 26 23 20 17 12 7 7 7 6 6 7 9 11 13 15 19 29 44 76 116 150 261 468 722 914 1035 1148 1137 1052 999 1033 1034 1091
196 133 119 113 85 48 22 9 3 0 0 0 3 11 25 51 89 115 145 206 240 252 307 314 279 250 256 283 310 327 316 261 202 145 92 104 150 173 170 141 114 97 49 51 44 39 24 13 4 5 19 25 8 0 0 0 1 0 0 1 4 4 2 4 6 6 4 3 4 9 10 11 9 6 3 1 0 0 2 15 15 13 18 30 37 39 37 29 21 19 17 14 14 15 15 17 22 25 25 25 26 26 25 23 19 15 10 6 5 5 4 4 5 7 9 11 14 19 29 31 51 94 140 219 388 625 825 946 1060 1084 1018 1019 1019 990 1030
179 137 128 142 128 93 63 40 15 0 0 0 0 2 6 31 62 64 62 114 164 169 186 228 253 256 262 275 282 276 254 206 158 126 120 155 195 181 139 94 60 53 20 18 9 3 4 3 1 4 6 1 0 0 1 1 1 0 0 2 5 4 3 8 11 9 8 11 17 25 25 20 15 11 6 2 1 1 0 9 12 9 11 17 20 22 20 14 10 9 7 7 7 7 7 8 10 13 14 16 18 19 17 16 15 12 9 7 4 3 4 4 4 4 5 7 10 15 21 24 40 70 107 161 273 467 682 850 902 929 989 1026 1000 976 1024
170 172 175 175 163 139 111 79 32 0 0 0 1 1 1 22 44 38 24 50 80 71 85 146 201 223 234 244 246 238 222 199 164 121 129 160 175 147 97 57 27 16 5 3 3 2 2 1 0 0 0 0 0 0 1 1 1 0 0 2 5 6 8 11 14 17 28 38 50 56 47 29 21 19 13 7 5 6 9 11 11 7 4 10 10 10 9 8 7 6 5 5 4 2 1 3 3 4 5 6 7 7 6 8 9 9 7 6 4 3 3 3 4 4 4 5 7 9 13 19 34 51 76 116 177 299 496 680 749 819 867 864 846 862 929
157 184 183 173 163 152 130 90 43 5 0 0 19 15 5 19 40 31 9 25 53 62 73 102 144 171 191 213 228 223 210 201 181 124 109 137 152 123 75 48 39 20 4 3 3 2 2 1 1 0 0 0 0 2 6 3 1 0 1 3 5 7 10 12 17 32 67 85 90 82 56 32 22 25 21 19 15 15 18 13 6 3 1 1 3 3 3 4 4 4 3 1 1 0 0 0 0 0 0 0 1 2 1 0 1 3 2 3 3 3 3 3 3 3 2 3 5 7 9 14 24 39 57 78 103 171 309 442 518 568 605 622 622 675 771
137 139 132 139 162 182 183 155 76 31 9 14 36 36 24 29 39 27 8 18 50 64 71 82 105 130 156 186 210 208 198 182 135 107 98 109 124 108 69 36 27 9 4 3 2 2 2 1 0 0 0 0 0 6 12 6 1 0 0 2 7 18 27 17 21 48 79 93 89 72 47 37 28 27 22 19 19 19 15 7 1 1 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 1 3 4 2 3 3 3 2 2 2 3 3 3 3 3 3 5 7 9 11 15 25 37 46 68 103 166 237 303 347 375 428 440 503 546
92 76 87 139 213 274 288 229 139 85 45 44 66 72 61 52 39 9 7 14 46 58 62 69 83 101 122 145 175 193 166 163 130 98 93 113 103 65 44 16 9 4 3 3 2 2 2 1 0 0 0 0 0 2 2 1 0 0 1 3 4 23 33 24 21 34 44 46 45 42 36 39 35 29 23 22 22 25 22 9 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 6 5 5 5 5 4 4 4 4 4 4 4 4 4 5 6 8 9 12 17 25 32 49 63 81 106 143 178 189 253 272 281 295
42 35 67 144 248 324 312 227 176 129 93 82 80 81 77 55 21 6 5 5 27 42 51 57 64 78 100 127 154 166 124 105 87 63 43 34 34 35 23 6 4 3 3 4 7 6 3 7 14 4 0 0 1 2 4 2 0 0 0 1 4 14 16 12 9 10 12 13 16 24 28 33 32 30 30 32 31 28 23 11 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 5 6 7 7 7 6 7 8 7 6 4 5 5 4 4 5 6 8 11 15 16 22 30 37 44 51 60 75 90 91 117 130 130 154
27 27 54 122 216 274 243 190 175 139 109 105 90 73 63 37 11 4 6 5 10 19 33 40 49 74 104 128 141 131 98 63 47 43 32 14 18 44 12 5 4 4 7 13 24 28 14 12 15 3 0 3 4 2 0 0 0 0 0 0 4 18 34 20 4 1 1 4 10 17 22 28 29 30 31 30 28 28 19 12 9 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 5 6 9 10 9 8 9 11 11 10 7 7 7 6 6 6 7 8 14 17 17 21 25 30 37 44 48 56 62 65 66 67 66 70
36 35 48 95 170 214 179 145 163 143 112 107 92 62 39 19 8 11 14 14 15 15 25 43 66 94 116 122 117 103 88 61 54 63 54 21 8 7 7 8 13 19 29 35 37 37 24 11 2 0 2 5 5 2 0 0 0 0 0 0 3 15 31 23 6 1 0 0 4 9 16 24 26 26 24 24 28 23 17 13 10 7 4 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 6 6 7 8 10 11 12 13 15 15 13 10 8 7 7 7 8 8 8 11 12 13 15 17 23 32 38 40 43 46 51 51 48 45 42
43 40 42 74 139 185 139 109 136 144 122 105 81 42 14 5 4 6 14 32 35 39 58 82 101 117 134 140 136 117 95 66 52 54 45 19 7 6 13 25 36 47 54 51 42 34 26 15 6 1 1 1 0 0 0 0 0 0 0 0 0 6 15 17 9 3 1 0 0 4 11 18 21 23 26 33 40 20 16 13 10 7 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 2 5 7 8 8 9 10 11 12 13 15 16 15 15 13 9 7 8 7 8 7 7 7 6 9 11 13 19 27 31 33 35 36 39 40 39 37 35
34 27 30 60 117 160 114 77 86 108 110 98 76 49 22 3 7 34 53 57 52 56 72 95 112 126 151 164 165 137 105 72 47 32 20 11 5 10 31 44 50 55 54 47 41 34 24 24 14 10 9 5 1 0 0 0 0 0 0 0 0 3 9 14 13 5 2 2 1 2 7 14 21 28 32 36 32 20 16 13 11 8 5 3 2 0 0 0 0 0 0 0 0 0 0 0 1 3 5 7 9 10 10 11 11 12 14 13 12 12 13 11 9 7 8 8 7 6 5 5 5 8 14 16 17 20 24 26 28 30 31 32 31 33 31
13 9 11 33 89 130 101 73 72 86 94 85 68 50 13 6 9 41 61 64 64 63 71 92 111 122 150 156 144 117 79 42 15 4 3 4 5 21 36 33 37 46 49 43 34 27 18 17 14 14 9 2 0 0 0 0 0 0 0 0 0 1 4 8 12 6 3 2 1 1 2 8 17 29 39 34 25 19 15 13 11 9 7 5 4 3 1 0 0 0 0 0 0 0 0 0 2 3 5 7 8 8 9 10 11 12 13 11 10 10 10 11 11 9 7 7 6 6 6 6 6 8 11 12 12 13 16 18 20 23 25 26 25 27 27
1 1 1 11 56 98 95 81 78 85 85 69 53 54 25 10 19 48 57 57 58 57 65 88 107 120 145 148 131 94 46 12 4 4 12 5 3 9 6 3 9 21 27 28 36 30 22 15 10 7 3 1 0 0 0 0 0 0 0 0 0 0 0 2 8 7 3 1 0 0 0 2 9 24 47 40 25 17 14 12 10 9 9 8 7 6 3 1 0 0 0 0 0 0 0 1 2 4 6 7 7 7 8 8 10 11 11 10 10 10 10 10 10 7 6 6 6 6 6 7 6 6 7 7 6 8 9 10 13 16 19 21 22 23 23
1 1 2 6 30 68 88 89 90 90 82 79 92 81 30 6 9 24 42 47 41 41 59 86 107 123 139 138 116 79 35 4 3 7 39 19 6 2 1 0 1 2 3 7 24 22 12 4 4 5 3 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 1 3 13 45 42 24 15 13 11 10 10 9 9 9 8 5 2 0 0 0 0 0 0 1 2 3 4 6 7 7 8 8 8 9 10 10 10 10 9 9 9 9 9 7 6 7 7 7 7 6 6 6 6 5 5 5 5 8 8 12 15 17 19 19
1 2 2 4 16 46 82 100 106 96 80 75 79 58 27 6 2 5 10 22 36 44 52 70 103 125 131 132 117 82 37 6 3 4 33 27 8 1 0 0 0 0 0 0 5 6 3 2 6 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 1 3 27 50 36 20 14 12 11 10 10 9 9 9 8 5 3 1 0 0 0 1 1 2 3 4 5 7 7 7 8 8 9 10 10 10 9 8 7 7 8 9 10 8 6 6 7 8 7 10 8 8 7 6 5 5 4 4 5 6 7 9 12 13
1 2 2 3 7 33 72 97 105 99 85 70 64 66 27 7 2 3 5 19 44 60 44 33 70 105 109 118 119 91 45 15 10 12 16 15 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 0 0 0 4 21 24 20 15 11 10 10 10 11 9 9 9 7 5 4 2 1 1 1 2 2 3 4 5 6 6 6 6 7 8 10 9 8 7 6 6 6 6 6 7 7 6 6 7 9 10 9 10 10 8 8 8 7 6 4 4 4 3 3 3 6 7
1 2 3 3 3 21 55 89 106 102 82 57 42 55 9 2 2 2 5 19 45 60 48 15 39 77 85 95 105 92 58 34 26 13 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 1 14 22 18 11 7 7 9 9 11 10 9 8 6 5 4 3 2 2 2 3 3 4 4 5 6 6 7 6 8 9 9 6 6 5 6 5 6 6 7 7 7 8 8 10 13 12 11 11 11 10 9 9 7 5 5 5 4 3 2 2 4 5
2 2 3 3 3 11 36 71 97 98 77 49 22 28 9 4 2 2 8 23 39 50 52 38 60 82 85 84 85 81 66 40 20 5 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 1 10 24 28 20 10 5 5 7 8 9 9 7 6 5 5 4 3 2 2 2 3 3 4 5 5 7 7 7 6 6 8 7 5 5 5 6 6 7 8 9 9 8 9 9 12 13 12 11 10 11 11 9 8 7 6 7 7 5 3 3 3 4 6
2 3 3 3 3 7 22 47 72 82 69 42 19 16 8 3 2 1 3 9 20 36 41 55 67 75 77 73 71 70 49 19 7 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 2 15 35 37 20 10 4 4 5 5 5 5 4 5 5 4 4 4 3 3 3 3 3 4 5 6 7 8 8 6 6 6 5 5 5 5 7 7 8 8 9 10 9 9 9 10 12 13 12 11 10 11 9 8 7 7 7 7 6 4 4 4 5 6
4 3 3 3 4 9 18 33 47 54 52 28 18 15 10 4 1 0 0 0 2 20 32 37 41 49 53 54 62 68 30 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 5 26 43 34 18 10 3 2 3 3 3 2 3 4 4 4 4 4 4 4 4 5 5 5 5 6 7 8 8 8 8 6 4 5 5 6 8 8 8 9 9 11 10 10 9 9 10 12 13 13 13 11 9 8 7 7 7 7 7 5 4 3 4 6
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15 7 3 3 5 9 15 22 26 26 23 17 12 10 8 6 3 1 0 0 0 2 5 8 11 13 12 9 11 8 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 4 20 39 25 13 8 2 0 0 1 1 1 1 2 3 4 4 4 4 4 4 5 5 6 7 7 8 8 9 9 8 7 6 7 8 9 10 10 9 9 10 12 12 12 12 11 10 10 12 14 15 15 13 12 10 9 9 8 9 8 6 4 4 4
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