Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 7 8 8 9 9 10 10 10 10 9 9 9 9 9 10 10 10 10 10 9 7 6 5 5 4 4 4 5 5 5 6 6 7 8 8 7 5 4 3 2 2 3 4 4 4 4 4 5 5 5 6 5 6 7 9 11 14 16 15 12 9 8 7 6 6 6 6 7 6 5 4 5 6 7 7 7 6 1 -2 5 18 28 28 20 10 4 3 4 4 5 7 9 11 14 17 21 24 27 26 25 23 21 19 20 21 22 23 25 25 23 21 21 21 21 21 21 21 20 19 18 17 16 15 13 12 11 10 10 9 8 8 nan
nan 7 7 7 8 8 8 9 9 9 8 7 7 7 7 7 7 7 7 7 6 6 5 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 1 2 2 3 4 5 5 5 5 5 5 6 6 5 5 5 5 7 9 12 14 14 13 11 9 8 7 7 7 7 7 7 7 5 4 5 7 7 7 8 6 0 -2 2 10 13 11 9 6 4 3 3 3 4 4 6 8 10 12 15 18 20 22 22 21 21 20 20 21 22 23 23 23 22 20 20 20 21 22 22 23 23 23 23 22 21 21 19 18 16 14 13 12 11 10 nan
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nan 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 8 8 8 8 8 8 7 6 6 7 7 8 9 9 8 7 7 7 6 6 7 8 8 8 7 7 7 6 7 8 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 6 6 6 6 7 8 7 7 7 7 7 7 7 8 8 9 9 8 8 8 8 9 8 8 8 7 4 0 -1 2 5 6 7 8 8 8 7 7 6 6 5 5 5 5 5 5 5 6 6 6 7 7 7 7 7 8 7 7 7 6 6 6 6 6 6 7 7 7 8 nan
nan 8 8 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 8 8 9 9 9 8 7 6 7 7 8 8 8 8 8 7 7 7 6 7 7 8 8 7 7 7 6 7 8 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 3 0 1 3 4 6 8 9 9 8 7 7 6 5 5 5 5 5 5 5 5 6 6 6 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 8 nan
nan 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 8 7 7 7 7 8 8 9 8 7 7 7 7 7 7 7 7 7 7 7 6 7 8 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 6 7 6 6 7 7 8 8 8 8 8 8 9 8 8 7 5 3 2 3 5 8 8 8 7 6 6 6 6 5 5 4 4 5 5 5 6 6 6 6 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 nan
nan 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 8 8 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 10 10 10 9 9 8 8 7 7 7 7 7 7 7 7 6 6 5 5 6 6 7 7 7 7 7 6 6 6 7 8 8 8 8 8 9 9 7 7 8 8 6 4 4 6 7 7 6 4 3 4 6 6 5 5 4 4 5 5 5 6 6 6 6 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 nan
nan 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 10 10 11 11 11 10 9 8 8 8 8 9 9 9 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 10 11 10 10 9 9 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 7 7 6 6 7 7 8 8 8 9 9 9 8 6 6 7 8 8 7 7 7 8 7 5 2 -0 2 5 6 6 5 5 5 5 5 5 5 6 6 6 6 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 nan
nan 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 9 10 11 11 12 11 10 9 9 9 9 9 9 9 8 8 7 6 6 7 8 8 9 9 8 8 8 8 8 9 9 10 10 11 11 11 10 9 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 5 5 6 7 7 6 6 7 8 8 9 9 9 10 9 7 7 6 7 7 7 8 8 8 8 8 6 2 -2 -0 4 6 6 6 6 5 5 5 5 5 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 nan
nan 7 6 6 7 7 7 8 8 8 7 7 7 7 7 8 8 7 7 7 7 8 9 9 10 9 9 8 7 8 9 9 8 7 6 6 7 7 6 6 7 8 9 10 10 9 9 9 9 9 10 10 11 11 11 11 11 10 9 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 5 5 6 6 6 6 6 7 7 8 9 9 10 10 8 7 6 7 7 7 7 8 8 8 8 8 7 4 1 1 2 4 6 7 7 6 6 5 5 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 nan
nan 7 7 7 7 7 7 8 8 8 7 7 8 8 8 8 8 7 7 8 8 8 8 8 7 7 6 6 6 6 8 9 8 6 5 5 6 7 6 6 7 8 10 10 11 11 10 10 9 9 10 10 11 11 12 12 12 11 10 9 8 8 8 8 8 9 9 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 7 8 9 9 10 9 7 6 6 6 7 7 7 8 8 9 8 8 8 6 5 4 3 3 5 6 8 8 7 6 6 6 6 6 6 6 7 7 8 7 7 7 7 7 7 7 7 7 7 6 6 6 nan
nan 7 7 7 7 7 7 7 8 8 7 7 8 8 8 8 8 8 9 10 10 8 8 7 7 6 6 6 6 6 7 8 8 7 6 5 6 7 6 6 7 8 10 11 11 11 10 10 9 10 10 10 10 11 12 13 13 13 11 10 9 8 8 8 9 9 9 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 7 8 9 9 9 8 6 6 6 6 6 7 7 8 9 9 8 8 7 7 7 6 4 4 4 5 6 7 8 8 7 7 7 7 7 7 7 7 8 7 7 7 7 6 6 7 7 7 6 6 6 6 nan
nan 7 7 7 6 6 6 7 7 8 7 8 8 8 8 9 9 9 10 10 9 9 9 8 8 7 7 8 8 7 7 7 8 7 6 6 6 6 6 7 7 8 10 11 10 10 9 9 9 9 10 10 10 10 11 12 12 13 12 11 9 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 5 5 5 6 7 8 8 8 6 5 5 5 6 6 7 7 8 9 9 8 7 6 6 7 7 6 6 5 4 4 6 7 9 10 10 9 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 nan
nan 7 7 6 6 6 6 7 7 8 8 8 8 8 9 9 9 9 9 8 9 9 9 9 9 9 9 8 8 8 7 7 7 7 6 6 6 6 7 7 8 9 10 10 9 8 8 8 8 9 10 10 10 10 10 9 9 10 10 9 9 8 7 7 7 7 8 8 8 8 8 8 7 7 6 6 6 6 5 4 4 5 6 7 7 7 6 5 5 5 6 6 6 7 8 9 9 9 7 6 6 6 6 7 7 6 6 5 4 5 7 10 13 13 12 10 7 6 6 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 nan
nan 7 7 6 6 6 7 7 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 9 9 10 9 8 8 8 8 8 7 7 7 7 7 6 6 7 9 10 10 9 8 8 8 8 9 9 10 10 10 10 9 8 7 7 8 8 7 7 6 6 6 7 8 8 8 8 8 8 8 7 7 7 7 7 6 5 5 5 6 7 7 7 6 5 5 6 6 7 7 8 8 9 9 8 6 6 6 6 7 7 6 6 6 6 6 6 7 10 13 13 11 6 2 2 5 6 7 7 7 7 6 6 6 6 6 6 6 6 6 6 nan
nan 8 7 7 6 7 7 7 8 8 8 8 8 8 8 9 9 8 8 8 7 7 7 8 9 10 10 9 8 8 8 8 8 8 8 8 8 7 6 7 9 10 10 10 9 9 9 9 9 9 10 10 10 9 9 9 8 8 7 7 6 6 5 5 6 7 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 7 7 7 7 6 6 6 7 7 7 8 8 8 8 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 10 8 4 -2 -5 -1 4 6 7 7 7 7 6 6 6 6 6 6 6 6 6 6 nan
nan 8 8 7 7 7 7 7 8 9 9 9 8 7 7 7 7 7 7 7 7 7 7 8 9 10 10 10 10 9 8 8 8 8 8 9 9 8 7 7 8 10 10 9 9 9 9 8 8 9 9 9 9 9 9 10 10 9 8 7 6 5 5 5 5 6 8 8 8 7 8 8 9 9 9 9 9 8 8 7 7 7 7 7 8 8 7 7 7 8 8 8 9 9 9 8 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 6 3 -3 -9 -7 -0 4 7 7 7 7 7 6 6 6 6 6 6 6 6 6 7 nan
nan 9 8 8 7 7 7 8 8 9 9 9 8 7 6 6 5 6 6 7 7 7 8 8 8 9 10 11 11 10 9 8 8 8 8 8 8 8 7 8 8 9 9 9 9 8 8 8 8 8 9 9 9 9 9 10 10 10 9 8 6 5 5 4 5 5 5 6 7 7 7 8 9 10 10 10 10 9 10 9 9 7 7 7 8 8 8 8 8 8 9 9 9 10 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 5 -0 -7 -9 -3 4 7 8 8 8 7 7 7 6 6 6 6 6 6 6 6 7 nan
nan 9 8 8 8 8 8 8 8 8 9 8 8 7 6 6 5 5 6 6 7 7 8 8 8 8 9 10 10 9 9 10 9 8 7 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 9 9 8 9 9 10 10 10 9 7 6 5 4 4 4 4 4 5 6 7 8 8 9 10 10 10 10 10 10 10 10 9 8 8 9 9 9 8 8 9 9 9 9 8 8 8 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 4 -2 -6 -4 4 10 11 10 9 8 8 7 7 7 6 6 6 6 6 6 7 7 nan
nan 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 7 7 7 7 7 7 7 8 8 8 8 9 10 11 10 8 7 7 7 7 8 8 8 8 8 9 8 7 7 7 8 8 8 9 9 9 9 9 8 8 8 7 6 5 4 5 5 5 5 6 7 7 8 8 9 10 10 10 10 9 9 9 9 9 9 10 10 9 9 9 8 8 9 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 7 6 7 7 7 6 3 -0 -1 4 12 16 15 12 10 9 8 8 7 6 6 5 5 6 6 6 7 7 nan
nan 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 7 8 8 8 8 10 12 12 10 8 7 7 7 7 8 8 8 8 9 10 9 8 8 8 7 7 7 7 8 8 8 7 7 7 8 7 6 5 6 7 8 8 7 7 7 7 7 8 9 10 10 10 8 8 8 8 9 10 11 10 10 9 9 8 8 8 9 9 9 9 8 8 8 8 9 9 9 9 8 8 8 8 7 7 6 6 7 6 5 4 6 12 17 17 14 11 10 9 8 7 6 5 5 5 5 6 6 6 7 7 nan
nan 10 10 9 10 10 10 9 8 7 7 7 8 8 8 9 8 8 7 8 8 8 7 7 8 8 8 7 8 10 11 10 9 8 8 8 8 7 8 8 8 8 9 10 9 8 8 8 8 7 7 6 6 7 7 6 7 8 8 7 6 7 8 9 9 9 8 7 6 6 6 7 8 9 9 8 7 7 8 9 10 10 10 9 9 9 9 8 8 8 9 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 7 7 6 6 6 6 7 8 11 13 12 11 10 10 8 6 4 4 4 4 5 5 6 6 7 7 7 nan
nan 10 10 11 11 10 9 8 7 7 7 7 7 8 9 9 8 8 8 9 9 8 8 9 9 8 7 6 7 8 8 8 8 9 10 10 9 8 8 8 8 8 8 9 8 8 9 10 10 9 7 6 6 6 7 7 8 9 9 7 7 8 9 9 9 9 8 7 7 7 6 6 7 8 8 7 7 7 8 9 10 9 8 8 8 8 8 8 9 9 9 10 10 11 11 10 10 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 7 4 2 -0 2 3 4 5 6 6 7 7 7 7 nan
nan 10 10 11 10 9 8 7 7 8 7 7 8 8 9 9 8 8 9 9 8 8 9 9 9 8 7 7 7 7 7 7 9 10 11 11 10 9 9 8 8 8 8 9 8 8 9 10 10 8 7 7 8 8 8 9 10 11 10 8 8 8 9 9 9 9 8 8 9 9 8 7 7 8 7 6 5 6 8 9 9 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 11 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 6 4 3 2 1 -1 -5 -4 0 3 4 5 6 7 7 7 7 7 nan
nan 9 9 10 10 9 8 7 7 8 9 9 8 8 8 8 8 9 9 8 8 7 8 8 8 7 7 8 8 8 8 8 8 9 10 10 9 9 9 9 8 8 8 9 9 9 9 9 8 7 8 9 9 10 10 10 11 12 11 10 8 7 7 8 9 8 8 8 10 10 9 9 9 9 8 6 6 6 8 9 8 8 8 9 9 9 8 9 9 8 8 9 9 10 10 10 11 11 10 10 10 10 10 9 9 9 8 8 8 8 8 8 9 9 8 7 2 -2 -5 -6 -6 -7 -9 -4 0 3 5 6 6 7 7 7 7 7 nan
nan 9 9 9 9 9 8 7 8 9 10 10 10 9 8 8 9 9 9 8 8 7 7 7 6 7 8 9 10 10 10 10 8 8 8 8 8 8 9 9 8 7 8 8 8 9 9 9 8 8 10 10 11 11 11 11 12 12 12 10 8 7 6 6 7 7 7 7 8 9 10 10 11 10 9 8 8 8 8 8 8 8 9 9 9 9 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 11 10 10 9 9 8 9 9 9 8 8 9 8 4 -1 -4 -6 -6 -4 -5 -3 1 3 5 5 6 7 7 7 7 7 7 nan
nan 9 9 9 9 8 8 8 8 9 10 10 10 10 8 8 9 9 9 8 8 7 7 7 7 8 9 10 11 12 11 10 9 8 8 8 7 8 9 9 8 7 7 7 8 8 9 9 9 10 10 10 10 10 10 11 11 12 12 10 9 7 6 6 6 6 6 7 7 8 9 10 11 10 9 9 9 9 9 8 7 7 8 8 9 9 10 10 10 10 10 9 8 8 9 9 9 10 10 10 10 10 11 11 10 10 9 8 8 8 8 8 8 8 6 4 2 1 2 3 4 3 4 5 5 5 6 6 7 7 7 7 7 7 nan
nan 8 8 8 8 8 9 9 9 9 9 10 10 10 9 8 8 8 8 8 8 9 9 8 8 8 9 11 11 11 9 8 8 9 9 8 7 8 9 9 8 7 7 7 7 8 8 8 8 9 8 8 9 9 9 9 10 11 11 11 10 8 7 7 7 7 7 7 7 6 7 8 10 10 9 10 11 11 10 8 7 7 7 8 8 8 9 9 10 10 10 9 8 8 8 8 9 10 10 10 10 10 11 11 11 10 9 9 8 7 7 8 8 7 6 5 6 7 9 9 8 6 5 5 5 5 6 6 6 7 7 7 7 7 nan
nan 8 7 7 7 8 8 8 8 8 8 9 9 9 8 7 7 7 8 9 9 10 10 10 9 9 9 9 9 8 8 7 8 9 8 8 8 9 10 10 9 8 8 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 10 11 10 9 8 7 7 7 8 8 7 5 5 6 7 8 9 10 11 10 9 7 7 7 8 8 8 8 8 9 9 10 9 9 9 9 9 9 9 9 10 10 9 9 10 10 11 10 10 9 8 7 7 8 9 9 8 7 7 8 9 8 5 2 2 3 4 5 5 6 6 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
29 35 41 43 47 52 48 45 57 83 102 142 196 245 314 400 539 738 768 823 972 951 907 884 806 664 508 345 209 157 172 166 171 193 268 275 236 213 190 163 134 104 74 41 20 10 7 4 1 0 0 0 0 0 0 0 0 0 0 3 10 18 19 9 2 7 3 3 1 2 4 6 6 4 2 1 0 0 0 0 2 19 152 532 1100 1519 1468 1187 810 410 380 550 648 716 723 708 819 979 1006 921 862 783 665 552 470 403 344 300 291 313 337 386 442 425 380 367 365 351 324 300 277 256 223 193 171 153 142 125 107 94 85 83 84 84 83
42 45 47 49 52 51 46 47 59 94 137 187 282 442 581 595 745 812 800 871 957 864 719 598 457 314 231 167 99 87 123 123 124 137 152 147 136 135 126 106 82 50 29 12 4 3 3 1 0 0 0 0 0 0 0 0 0 0 0 2 8 15 9 1 4 5 3 2 1 2 3 4 4 1 0 0 0 0 0 0 4 36 189 515 970 1404 1350 913 558 309 320 368 400 489 619 759 901 1032 1068 1046 1007 903 795 689 562 461 406 381 405 472 549 607 612 608 609 622 630 626 613 579 528 489 429 366 300 260 218 174 150 134 123 118 116 116 100
48 49 51 54 53 51 54 77 110 155 224 299 405 583 614 547 571 543 530 509 449 372 297 226 155 98 93 89 61 65 85 80 73 72 69 63 64 69 61 43 28 17 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 14 4 0 4 4 2 3 3 4 5 4 3 0 0 0 0 0 0 0 9 54 170 341 531 702 712 483 348 274 279 294 331 409 499 582 660 740 749 777 793 768 707 615 529 476 447 453 502 580 721 811 798 760 778 807 823 837 859 858 811 751 688 603 503 428 372 313 251 201 163 153 139 124 104
48 48 52 55 56 63 89 149 221 271 296 302 319 380 335 293 241 209 197 185 144 110 91 80 72 68 74 62 41 41 42 38 33 30 28 26 20 19 11 0 1 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 1 0 0 0 1 2 3 3 4 3 1 0 0 0 0 0 0 2 13 54 137 234 268 240 252 283 281 258 253 276 303 310 312 352 326 318 377 418 436 447 450 451 451 428 401 408 450 487 545 582 620 645 672 706 748 784 830 857 837 795 781 739 662 598 568 510 412 325 249 224 195 167 148
47 48 49 51 59 88 139 225 315 332 268 194 155 145 122 103 74 63 62 63 60 54 51 49 39 27 20 18 16 15 14 13 13 10 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 0 0 0 1 1 2 1 1 1 0 0 0 0 0 0 0 4 20 60 140 208 209 211 230 254 255 244 241 259 286 269 267 293 294 280 271 263 261 271 283 290 308 314 289 283 286 291 289 275 281 340 392 422 479 530 568 592 613 626 641 650 632 594 576 611 576 502 432 375 329 287 252
43 47 46 46 59 94 145 215 253 218 143 87 59 47 38 29 23 20 19 15 12 17 22 17 9 3 0 2 3 2 1 2 2 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 0 0 0 0 0 0 0 0 0 0 1 6 23 66 132 173 182 187 199 207 214 223 225 230 247 228 230 255 275 261 239 223 211 201 195 196 207 198 191 182 174 171 172 171 168 187 213 235 259 303 333 357 373 409 449 479 500 526 509 527 570 577 556 521 495 477 446
35 36 41 46 72 109 140 152 131 88 54 35 23 15 9 6 3 2 1 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 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 24 61 102 133 155 165 164 161 171 185 184 184 191 192 203 207 213 216 215 215 220 230 211 202 207 189 177 168 159 155 159 168 170 160 157 158 158 185 207 232 261 284 310 350 405 474 540 593 583 571 571 558 543 541 548
30 30 36 53 91 123 123 96 64 39 24 15 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 24 48 74 95 117 137 142 135 129 123 118 122 127 138 154 165 171 179 185 191 198 218 218 212 213 206 188 172 159 153 152 146 151 155 159 156 139 139 147 158 179 205 225 254 299 351 413 474 528 559 563 549 536 533 520
27 29 42 64 80 79 59 37 24 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 10 10 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 21 35 58 73 89 105 112 105 85 66 60 65 70 74 86 105 121 134 144 147 145 148 150 153 151 144 140 137 131 128 125 121 116 118 144 154 146 133 122 125 147 179 177 180 192 210 233 271 334 402 445 474 493 508 525
24 32 56 59 49 39 28 16 7 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 0 0 6 15 20 12 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 12 23 42 59 71 81 83 75 59 44 37 36 38 42 47 57 72 88 106 110 109 108 107 104 109 111 106 105 102 95 92 95 95 92 101 115 123 119 108 108 136 158 161 169 171 160 143 135 150 203 251 285 317 352 386
22 36 46 34 25 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 3 9 19 28 21 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 12 25 41 56 67 70 65 52 39 30 26 25 26 30 38 47 59 74 84 90 92 92 85 84 93 93 91 88 75 69 69 67 67 69 79 92 99 90 84 89 98 112 133 150 147 130 115 108 112 132 145 162 184 200
22 25 25 21 16 10 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 0 0 0 2 6 14 24 31 25 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 13 28 44 51 53 49 41 32 25 20 17 15 19 23 32 42 54 65 74 79 80 76 73 75 76 80 79 70 69 68 63 57 56 60 70 77 70 62 54 52 58 74 96 106 105 101 98 93 97 104 111 120 127
20 15 12 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 10 19 27 30 23 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 16 32 37 37 33 29 24 19 14 10 8 11 16 21 29 37 44 51 59 63 66 66 66 65 68 68 65 65 65 63 59 56 53 58 62 60 55 49 45 43 45 55 60 62 68 76 78 80 82 84 85 93
16 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 1 7 14 22 26 24 14 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 10 20 26 29 27 23 18 13 10 9 8 9 9 12 16 21 25 29 36 41 46 49 52 50 51 52 53 53 56 60 57 54 49 50 50 49 47 45 42 38 36 37 38 36 39 45 54 60 63 63 57 53
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 1 5 9 12 13 10 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 12 17 19 18 16 14 11 10 8 7 6 5 7 9 10 12 15 18 19 14 22 28 30 30 32 35 36 38 38 37 35 34 34 35 36 37 37 34 29 25 26 23 22 23 26 31 36 40 44 40 37
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 1 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 4 7 9 11 13 14 13 12 10 9 8 6 5 5 5 5 6 7 7 10 9 11 12 14 16 16 17 19 20 18 18 19 18 18 20 21 21 21 23 22 17 16 17 16 15 14 15 16 17 19 23 27 28
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 0 0 0 0 0 0 0 0 2 4 6 8 8 9 10 10 9 8 6 5 4 4 4 4 4 4 5 5 7 6 6 7 9 10 11 11 11 11 10 12 13 12 11 12 13 13 15 15 14 14 14 14 13 13 13 11 10 8 7 11 14 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 5 6 7 8 9 9 9 6 4 3 3 3 4 4 4 4 4 4 5 6 6 6 6 6 7 7 7 7 6 7 8 7 7 9 9 8 7 9 10 11 11 10 8 8 8 8 7 4 4 6 7 8
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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 5 6 7 8 8 5 3 3 3 3 2 3 4 4 3 3 4 4 4 5 6 6 6 5 6 6 6 6 6 6 5 6 6 5 5 6 6 6 6 6 5 4 4 5 5 5 4 4 5 7
0 2 6 7 2 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 1 2 3 3 4 6 6 7 6 4 2 2 2 2 2 3 3 2 2 3 3 3 3 3 4 4 4 4 5 4 5 5 5 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4
0 3 8 8 2 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 1 2 2 3 4 5 5 6 4 2 1 1 2 2 2 2 1 1 1 1 1 1 2 3 2 2 2 2 3 3 2 4 3 3 3 3 3 3 2 3 3 3 3 4 4 4 4 4 4 4 4 4 4
0 0 1 1 1 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 0 0 0 0 0 0 0 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 2 3 3 4 5 3 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 2 2 1 2 1 1 1 1 1 1 2 2 2 3 2 3 3 4 4 3 3 3 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 3 3 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 0 0 0 0 0 1 1 1 1 1 2 2 2 2 2 2 2 2 3 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 1 1 2 2 2 2 2 2 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 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 1 2 2 2 2 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 1 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 1 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 2
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