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 3 3 3 3 3 3 3 3 3 4 4 4 3 3 2 2 2 3 4 5 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 6 7 8 10 11 11 12 12 13 13 10 8 7 5 5 5 5 5 5 5 6 7 7 6 6 7 7 7 6 6 5 5 5 5 5 5 5 5 6 6 7 7 7 7 7 7 7 7 8 7 7 7 6 6 6 6 7 7 6 6 5 4 3 3 2 3 3 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 5 nan
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nan 8 8 9 9 9 9 8 7 7 7 7 6 6 6 7 7 7 7 8 8 8 8 7 6 5 6 7 8 9 9 8 8 7 7 6 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 10 10 9 8 8 8 8 7 7 7 7 7 7 7 8 9 8 8 7 7 7 7 6 6 6 7 8 8 9 9 9 9 10 9 9 8 7 5 1 -1 1 3 4 4 5 5 5 4 4 5 5 5 5 6 6 6 5 5 5 5 5 5 6 6 6 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 nan
nan 8 9 9 9 9 8 7 7 8 7 7 7 6 6 7 7 7 7 8 8 8 8 7 6 5 5 6 7 8 9 9 8 8 8 7 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 9 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 5 5 6 6 7 8 8 8 9 9 9 9 9 8 8 6 3 -0 -1 1 2 4 4 5 4 4 4 4 4 4 5 5 5 6 5 5 5 5 5 5 5 6 6 7 7 8 8 8 8 8 8 8 7 7 7 7 6 6 nan
nan 9 10 10 10 9 8 6 7 7 7 7 7 7 7 7 6 6 7 8 9 9 9 8 7 7 6 6 6 8 9 9 9 8 8 8 7 7 7 6 6 7 7 8 8 8 8 7 7 7 7 7 8 9 10 10 10 9 9 9 9 9 8 8 8 9 9 8 8 6 6 6 6 6 5 5 6 6 6 6 6 7 8 8 8 8 8 8 8 8 7 7 5 3 1 0 1 2 3 4 3 3 3 3 3 3 4 5 5 5 5 5 5 5 5 5 5 5 6 6 7 8 8 8 8 8 7 7 7 7 7 6 6 6 nan
nan 9 10 11 11 10 8 6 6 6 7 7 7 7 7 7 6 6 7 9 9 9 9 9 8 8 7 7 6 7 8 9 9 9 9 9 8 8 8 7 7 7 7 8 8 8 8 7 7 7 6 7 8 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 7 6 6 6 6 5 5 6 7 7 7 6 6 7 7 8 8 8 8 8 7 7 6 6 7 6 4 3 2 3 3 3 3 2 1 1 2 3 4 4 5 5 6 6 5 5 5 5 5 5 6 6 7 7 7 7 7 7 7 7 7 7 7 6 6 6 nan
nan 9 10 11 10 9 7 6 5 5 6 7 7 7 7 7 6 6 7 7 8 9 9 9 9 9 9 8 7 7 8 8 9 10 11 10 10 9 8 8 8 8 8 8 8 7 7 7 7 6 6 7 8 9 9 10 10 10 10 11 10 10 9 9 9 9 9 9 8 7 7 7 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 7 7 6 5 6 6 6 6 5 5 5 6 5 4 1 -1 -0 2 3 3 4 5 5 6 6 6 6 5 5 5 5 5 6 6 7 7 7 7 7 7 7 7 7 7 6 6 6 nan
nan 8 9 10 10 9 7 5 5 5 6 7 7 7 7 7 6 6 6 6 7 8 9 9 10 10 10 9 8 8 7 7 8 9 10 11 10 10 9 9 8 8 8 8 7 7 7 6 6 6 7 8 9 9 9 9 10 10 11 10 10 9 9 9 8 8 8 9 8 8 8 8 7 7 7 7 7 7 7 7 6 6 7 7 8 8 8 7 7 6 5 5 5 5 6 6 7 7 7 7 6 2 -0 -0 1 2 3 4 5 5 6 6 6 6 6 5 5 5 5 6 6 6 7 7 7 6 6 6 7 7 7 7 6 6 nan
nan 8 9 10 10 10 7 5 4 5 6 7 7 7 7 7 6 6 6 6 7 8 9 9 10 10 9 8 7 7 7 7 7 7 7 8 9 9 10 10 9 8 7 7 7 6 6 6 6 6 7 9 9 9 9 9 10 10 11 10 10 9 9 9 8 7 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 6 6 7 7 7 8 8 7 6 5 5 5 5 6 6 7 7 7 7 7 5 2 1 1 1 2 3 5 6 6 7 7 6 6 6 5 5 6 6 6 6 6 6 6 6 6 6 7 7 7 7 6 6 nan
nan 8 10 11 11 9 7 5 4 5 6 7 8 8 7 7 7 6 6 6 7 7 8 8 8 7 6 6 6 6 6 7 6 6 5 6 7 9 10 9 9 8 7 7 6 6 6 6 6 7 8 9 9 8 8 9 9 10 10 10 10 9 9 8 7 7 7 8 8 8 9 9 9 8 8 7 7 7 7 6 5 5 6 6 7 8 8 8 7 6 6 6 6 6 6 7 7 8 8 7 7 7 6 5 2 1 2 3 4 6 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 6 nan
nan 9 10 11 10 8 7 5 5 5 6 7 8 8 8 7 7 7 7 7 8 8 8 7 6 6 5 5 5 5 6 6 6 6 6 6 7 8 9 9 8 8 7 7 6 6 6 7 7 8 9 9 9 8 8 8 8 8 8 9 9 9 8 7 7 7 7 7 8 8 8 9 9 8 8 8 7 8 7 6 5 5 6 6 7 8 8 8 7 7 7 7 7 7 7 7 8 9 9 8 8 8 8 7 5 4 3 3 4 5 6 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 6 nan
nan 8 9 9 9 8 7 6 6 6 6 7 7 8 8 8 7 7 8 9 10 9 8 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 8 8 7 7 7 7 6 6 7 8 8 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 7 8 8 9 9 8 8 8 8 7 7 6 6 6 6 7 7 8 8 8 8 7 7 7 7 8 8 9 10 10 9 9 8 8 8 8 7 7 6 5 4 5 6 7 8 8 8 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 6 nan
nan 8 9 8 8 8 7 7 6 6 6 7 7 7 8 8 8 9 10 10 10 9 9 8 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 8 8 7 7 7 7 6 6 6 7 7 7 8 9 8 7 7 8 9 9 8 8 8 7 7 6 6 6 7 7 7 8 8 8 8 8 8 8 8 9 9 9 10 10 10 9 8 8 8 8 8 8 8 7 6 5 5 6 9 11 11 10 8 7 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 6 nan
nan 8 8 8 7 8 8 7 7 6 7 7 7 7 8 9 10 10 10 9 9 9 8 7 7 7 7 7 7 6 6 7 7 7 7 8 9 9 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 7 7 8 8 7 6 6 6 6 5 6 8 9 9 7 7 8 8 8 8 8 8 7 6 6 6 7 8 8 8 8 8 8 8 8 9 9 9 9 10 11 11 10 8 8 8 8 8 9 8 8 8 8 8 7 7 8 10 12 12 10 7 4 3 5 6 6 6 6 6 6 7 7 7 7 7 7 7 7 6 nan
nan 8 8 7 7 8 8 7 7 7 7 7 7 7 7 9 10 10 9 9 9 8 7 6 6 6 6 6 6 6 6 7 7 8 8 9 9 9 9 8 8 8 9 9 9 9 8 7 7 7 8 8 8 7 7 8 8 7 7 6 5 5 4 4 5 7 9 9 8 7 8 8 8 8 8 8 7 6 6 7 8 9 9 9 8 8 8 9 9 9 9 9 10 11 11 10 9 8 8 9 9 9 8 8 8 9 9 9 9 8 8 9 10 9 6 1 -2 0 4 6 7 7 7 7 7 7 7 7 8 7 7 7 7 7 nan
nan 8 7 6 7 8 8 8 7 7 7 7 7 7 7 7 8 9 8 8 8 7 7 6 6 6 5 6 6 7 6 6 7 7 8 8 9 9 9 8 9 9 9 10 9 9 8 8 8 8 8 8 8 7 7 8 8 7 6 6 5 4 3 4 5 6 8 8 8 8 8 8 7 8 8 8 8 7 7 8 9 10 10 10 10 9 9 9 9 8 8 9 10 10 10 10 8 8 9 9 9 9 9 8 9 9 9 9 9 8 8 8 8 5 0 -5 -5 0 5 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 nan
nan 7 6 6 7 8 8 8 7 7 7 8 8 7 7 6 6 7 7 7 7 7 7 6 6 5 6 7 7 7 7 7 6 6 7 7 7 8 8 8 8 9 10 10 10 9 8 8 8 9 10 9 8 7 7 8 8 8 7 6 5 4 4 4 4 5 6 7 8 9 9 8 8 7 8 8 8 7 7 7 9 10 11 11 11 10 10 9 8 8 8 8 8 9 8 8 8 8 9 9 9 9 9 9 10 9 9 9 9 9 9 9 7 4 -2 -5 -3 2 6 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 nan
nan 7 6 6 7 7 8 9 8 7 7 7 8 7 7 6 6 5 6 6 7 7 7 7 6 6 6 7 8 8 8 7 6 6 6 6 6 6 7 7 8 9 10 10 10 9 8 8 8 9 10 9 8 7 7 8 8 8 8 7 6 5 4 5 5 5 5 6 8 8 8 8 8 8 8 8 8 7 6 6 8 10 12 12 11 10 9 8 8 7 7 7 7 7 6 7 8 8 8 9 9 9 9 10 10 9 9 8 8 9 9 9 6 2 -3 -3 2 7 9 8 8 9 9 9 9 9 9 8 8 7 7 7 7 7 nan
nan 7 7 6 6 7 9 10 10 9 7 6 6 7 7 7 7 6 6 6 7 7 7 7 7 6 7 7 8 8 8 7 7 6 6 6 6 6 6 7 8 8 9 10 11 11 10 9 9 8 8 8 8 8 8 8 8 8 8 8 7 6 6 6 6 6 5 6 7 7 7 7 8 8 8 8 7 6 6 6 7 10 11 11 10 8 7 7 6 7 6 6 6 6 7 7 8 8 8 8 9 9 9 9 10 10 9 8 8 9 9 8 6 3 1 4 9 12 12 9 9 9 10 10 9 9 8 8 8 7 7 7 7 7 nan
nan 8 7 7 7 9 10 11 11 10 8 6 6 6 7 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 6 6 6 6 6 6 8 8 8 8 9 11 12 12 10 9 8 8 7 7 8 9 8 8 8 8 8 7 7 8 8 8 7 6 6 6 6 5 6 7 8 9 8 6 6 6 7 8 9 10 10 9 7 6 6 6 7 7 6 6 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 7 6 8 12 15 15 12 10 10 10 9 9 9 9 8 8 8 7 7 7 7 7 nan
nan 8 8 9 10 10 11 11 10 9 8 7 6 7 8 8 9 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 7 6 6 7 7 7 7 8 10 12 12 11 11 10 9 7 6 7 7 8 8 8 8 8 8 8 9 10 9 7 6 6 6 6 6 6 7 8 8 7 6 5 6 7 8 8 8 8 8 7 6 6 7 8 8 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 9 9 11 13 14 13 11 11 10 8 7 7 8 8 8 8 8 7 7 7 7 7 nan
nan 7 8 10 11 11 11 11 10 8 7 6 7 7 8 9 9 8 8 8 9 10 10 9 9 8 7 7 8 7 7 7 8 9 10 10 9 7 6 6 7 7 7 7 8 10 10 11 12 12 11 9 8 8 8 8 9 10 10 9 8 9 10 10 9 8 7 7 7 7 7 7 7 7 7 6 5 5 6 7 7 7 7 7 7 7 6 7 8 9 9 8 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 10 10 9 9 9 9 10 10 10 10 10 10 11 9 6 3 3 6 8 8 8 8 8 7 7 7 7 nan
nan 7 8 9 10 11 11 11 9 7 6 6 6 7 8 9 9 9 9 9 10 10 10 9 9 8 8 8 8 7 6 6 8 10 12 12 10 8 7 6 6 7 7 7 8 8 9 10 11 11 11 10 9 10 10 11 12 12 12 10 8 8 8 9 9 9 8 8 8 8 8 8 8 8 7 6 6 5 6 7 7 7 7 7 8 7 7 7 8 8 8 8 8 7 7 7 7 7 8 8 9 9 9 9 9 9 9 10 10 11 10 9 10 10 10 10 9 8 8 8 7 3 -1 1 6 8 8 8 8 7 7 7 6 6 nan
nan 7 7 9 10 11 11 10 8 7 7 7 7 8 9 9 9 10 10 10 9 8 8 8 8 8 9 9 9 8 7 7 8 9 11 11 10 9 8 7 7 7 7 8 8 8 8 8 9 10 10 10 10 11 12 13 14 14 12 10 8 7 8 9 9 9 8 8 8 8 8 8 8 8 8 7 6 7 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 6 7 8 9 9 9 9 9 9 9 9 11 11 11 10 9 10 10 9 5 2 3 4 4 1 -1 2 6 7 8 8 7 7 7 6 6 6 nan
nan 7 8 9 10 10 10 9 8 7 8 8 8 9 10 11 11 11 11 10 9 7 7 7 8 8 9 9 10 10 10 9 9 9 9 9 9 9 8 8 7 7 7 8 8 8 7 7 7 8 8 9 9 10 11 13 14 14 13 10 8 8 8 9 9 9 8 7 7 8 8 8 9 9 8 8 8 8 9 9 9 8 7 7 7 7 7 7 6 6 7 7 8 8 7 7 7 6 7 8 8 9 9 9 9 9 9 10 11 11 11 9 9 9 9 6 1 -2 -2 1 3 2 2 5 6 7 7 7 6 6 6 6 6 6 nan
nan 8 8 9 9 10 10 9 8 8 8 9 10 10 10 11 12 12 11 9 8 7 8 8 8 8 9 10 11 11 10 10 10 9 8 8 9 9 8 8 7 7 7 8 8 7 6 6 6 6 7 7 7 8 10 12 13 14 13 12 10 10 10 9 9 8 8 8 8 7 7 8 9 9 9 9 9 9 10 10 10 9 8 8 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 10 10 10 10 9 8 8 8 8 4 1 -2 -2 0 2 3 4 6 6 6 6 6 6 6 6 6 6 6 nan
nan 9 9 9 9 10 10 9 8 8 8 8 9 10 10 11 11 11 10 9 8 9 9 9 8 9 10 11 11 10 10 10 10 9 8 8 9 9 9 9 8 8 8 8 8 7 6 6 6 7 7 6 6 6 7 9 11 12 12 12 12 11 11 10 10 9 9 9 8 7 7 7 8 9 9 9 9 10 10 10 10 10 9 9 9 8 8 7 6 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 10 10 9 8 7 8 8 8 7 6 5 3 2 1 -0 1 3 5 6 6 6 6 6 6 6 7 7 7 nan
nan 9 9 9 9 9 10 10 9 8 7 8 8 9 10 10 11 11 11 10 10 11 11 10 9 9 9 9 9 9 9 10 11 10 9 9 9 9 10 10 10 9 8 8 8 8 7 7 7 8 8 7 6 6 6 7 7 8 9 10 10 10 10 10 10 11 10 9 8 7 7 7 7 8 8 9 10 10 11 11 10 10 10 10 10 9 9 8 8 7 7 8 8 8 7 7 7 7 7 8 8 8 7 7 7 8 9 9 8 8 8 8 9 8 9 9 8 7 5 -0 -4 -3 1 5 6 6 6 7 7 7 7 7 8 8 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
4 7 11 16 20 25 29 28 33 39 42 43 40 36 34 31 31 35 44 55 60 56 48 37 28 20 14 10 7 5 6 4 4 5 7 13 20 23 28 36 50 74 129 219 133 76 57 54 52 43 34 27 26 32 35 35 33 30 30 34 37 30 17 7 1 4 4 2 0 0 1 2 4 4 2 1 1 1 1 5 12 25 36 59 83 88 82 69 60 62 59 55 45 39 34 27 24 23 22 23 22 20 19 18 21 26 31 36 41 48 55 63 69 82 113 138 157 170 170 157 144 151 164 194 198 206 235 266 313 342 363 389 398 406 428
8 9 12 16 21 24 27 30 36 41 43 42 37 33 31 29 26 33 42 44 43 43 40 34 27 21 18 13 11 8 8 8 8 9 13 17 23 30 40 54 74 81 92 95 64 48 52 55 45 28 20 23 28 31 29 25 21 19 19 21 21 14 4 0 0 0 0 0 0 0 1 2 3 5 5 4 5 3 2 9 16 25 34 42 46 43 47 45 41 38 37 35 32 30 28 27 27 26 24 23 23 21 19 18 17 20 26 31 35 39 45 40 35 31 34 50 76 101 117 118 95 96 95 114 122 128 140 160 195 240 272 283 294 308 314
7 10 17 16 22 26 27 31 37 40 39 34 25 18 17 20 24 31 35 35 33 31 30 28 24 19 15 13 12 9 9 9 11 14 20 27 34 41 54 91 109 113 115 81 54 48 45 34 21 14 13 15 24 23 22 21 18 16 14 15 18 8 1 0 0 0 0 0 0 0 1 1 1 5 6 2 1 0 1 9 16 23 30 31 31 34 33 30 31 31 31 30 30 30 30 29 27 26 26 25 24 22 21 20 19 20 24 32 40 42 41 34 31 29 27 31 42 57 84 101 100 97 99 93 88 84 81 91 118 144 170 203 237 244 243
6 10 17 17 21 27 30 32 37 41 40 33 25 12 8 7 10 17 22 24 25 25 24 24 22 19 15 13 13 11 10 11 16 21 32 42 39 39 44 52 86 95 73 52 46 43 30 14 8 8 8 12 15 18 21 20 16 13 10 8 8 2 0 0 0 0 0 0 0 0 0 1 2 4 5 1 0 0 3 13 23 30 32 29 26 26 26 27 29 30 31 33 33 31 30 29 26 28 30 30 27 24 24 23 23 24 25 30 38 42 39 34 32 30 27 27 29 33 52 62 72 71 66 71 78 81 85 92 95 101 122 145 171 188 190
5 10 15 17 20 27 31 35 42 57 97 139 108 50 15 6 3 6 11 15 18 20 19 17 18 17 16 17 16 15 15 19 21 21 25 33 35 70 101 83 62 53 46 46 41 27 14 4 2 2 2 5 10 18 22 19 13 8 4 3 2 0 0 0 0 0 0 0 0 1 1 1 1 1 2 2 1 2 9 24 38 44 44 38 36 38 36 36 36 36 36 36 37 36 35 36 37 38 39 39 36 32 29 31 33 33 32 34 45 47 39 31 27 26 27 28 29 30 35 43 56 49 51 64 70 71 74 72 62 59 65 81 103 119 118
7 11 15 18 19 25 30 40 53 85 186 323 282 107 25 9 3 2 4 9 12 13 13 13 16 20 20 22 22 24 31 35 34 32 32 36 44 68 56 26 29 39 42 33 19 7 3 1 0 0 0 2 7 16 19 16 11 6 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 1 0 4 17 40 58 73 58 49 49 48 46 44 43 43 43 43 44 47 48 50 50 50 50 47 43 39 38 40 43 43 42 42 50 49 39 31 30 30 30 31 32 33 33 35 42 41 42 49 46 42 52 36 28 27 27 36 49 64 71
6 11 15 18 19 24 30 40 54 82 150 226 177 62 23 10 3 3 2 4 8 10 12 14 19 25 24 31 35 56 84 90 78 93 147 163 58 41 28 28 37 38 28 13 3 0 0 0 0 0 0 0 5 11 13 12 9 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 27 59 84 99 78 72 71 64 53 48 48 48 49 50 53 56 58 61 60 59 56 51 47 44 43 45 47 49 48 45 45 42 38 37 35 34 34 34 35 34 34 34 35 36 35 34 27 27 31 26 22 18 16 17 21 31 34
9 12 17 18 19 22 26 31 37 49 65 69 45 24 17 12 8 6 6 9 13 18 25 36 53 62 55 73 87 115 145 147 125 110 86 49 33 34 38 42 35 20 9 2 0 0 0 0 0 0 0 1 4 7 7 6 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 38 79 111 110 106 102 88 74 64 56 53 52 53 55 58 58 59 62 63 61 58 53 49 48 48 49 49 50 48 44 41 41 40 41 40 39 38 36 36 35 35 36 36 36 35 34 29 28 26 22 20 18 17 17 17 22 21
9 12 16 17 18 19 19 21 23 27 32 31 24 18 15 14 13 14 16 19 27 42 76 140 230 291 288 249 203 170 134 96 87 79 31 15 52 54 41 24 10 3 0 0 0 0 0 0 0 0 0 1 1 2 2 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 9 45 100 122 119 128 124 104 87 76 67 61 58 54 56 59 60 59 59 60 59 56 53 52 52 52 50 49 47 44 42 42 43 42 41 40 40 39 37 37 37 37 37 36 35 34 32 30 29 27 23 21 23 22 21 21 22 20
8 12 15 17 17 17 16 16 19 24 25 25 22 18 16 17 19 25 41 73 117 157 225 335 477 558 519 390 262 160 80 38 37 39 28 51 54 37 19 6 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 11 47 107 115 117 135 137 118 99 83 71 65 59 54 56 60 63 62 58 56 55 53 52 53 55 55 51 47 45 43 41 41 40 39 38 39 40 39 38 37 37 36 35 34 32 30 28 27 27 27 29 30 29 27 26 24 25 24
9 11 13 13 14 17 19 19 22 25 23 21 19 20 23 29 34 62 138 237 305 344 370 374 398 380 322 252 177 100 43 27 38 42 44 45 27 10 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 34 90 97 98 113 122 117 100 77 69 63 58 55 55 58 63 63 57 55 54 52 52 52 52 52 49 46 44 42 39 35 34 35 35 37 38 38 37 34 33 33 31 30 28 27 25 23 23 24 27 28 29 29 28 29 30 29
12 12 13 14 16 19 22 23 24 25 23 21 21 34 60 98 141 224 336 350 282 219 181 167 169 163 145 119 97 89 90 115 90 49 30 15 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 1 19 55 69 71 78 89 97 85 68 64 60 57 55 56 58 58 57 56 55 54 54 54 52 50 49 46 43 40 37 31 29 28 28 29 31 35 36 35 32 31 29 28 27 26 25 24 22 20 21 21 22 23 24 26 28 29 29
20 15 14 17 19 21 22 23 25 31 39 46 59 118 207 314 420 470 414 286 176 113 80 73 79 87 99 109 118 130 129 110 55 26 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 3 16 35 49 55 59 67 70 67 63 61 59 56 54 54 55 54 53 53 53 54 54 53 51 49 45 41 38 34 31 25 23 22 21 21 23 27 31 34 32 30 28 27 26 25 25 24 21 19 19 19 18 18 18 19 20 22 22
33 22 20 24 26 30 33 29 38 68 113 173 243 313 364 398 404 358 264 171 109 69 46 48 62 78 102 132 152 150 111 53 21 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 5 18 35 46 51 56 61 64 63 61 60 57 53 50 51 53 52 51 50 50 50 50 49 47 45 41 37 33 28 25 22 19 18 16 15 15 18 23 29 30 28 26 25 24 24 24 23 20 19 20 19 17 15 14 13 13 15 13
60 43 38 42 52 71 89 91 104 152 199 247 283 298 300 296 277 230 171 118 85 64 52 54 67 89 115 140 154 138 66 20 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 18 36 47 51 54 59 61 60 58 57 54 50 47 47 49 48 45 44 44 44 44 43 42 40 36 33 29 24 22 19 16 13 10 8 7 9 13 20 23 24 23 22 20 20 20 22 18 18 18 16 13 12 12 11 11 12 11
99 80 72 80 102 140 186 217 236 234 217 201 184 176 179 183 178 150 111 87 68 61 58 56 61 77 101 128 135 108 38 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 1 4 14 31 42 48 52 55 57 56 55 53 51 47 44 44 46 44 42 41 40 40 39 38 36 34 32 29 24 20 18 16 13 8 6 4 5 6 8 10 14 18 18 17 16 16 16 19 17 15 13 12 11 10 10 10 10 11 11
159 132 106 100 127 179 232 259 252 207 165 133 115 112 117 117 105 90 64 51 39 31 25 24 29 39 57 81 98 76 30 7 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 1 3 5 12 24 39 44 51 55 55 53 52 50 48 44 40 43 44 43 40 38 37 35 33 31 29 28 25 21 18 17 14 11 7 4 3 3 4 5 5 6 8 11 12 13 12 12 13 14 13 12 11 10 11 10 10 9 9 9 9
184 124 69 55 89 149 186 184 168 135 114 104 103 104 102 96 77 55 36 32 34 32 22 13 10 12 18 29 55 47 23 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 0 0 0 0 0 0 0 0 2 5 6 11 24 37 41 48 53 54 52 50 49 47 43 40 42 43 41 38 36 33 30 27 24 22 22 20 17 14 12 9 5 2 2 2 2 2 4 5 5 6 7 7 7 7 8 10 10 10 10 9 10 8 8 7 7 7 7 7
118 59 22 21 46 89 107 94 97 87 85 90 99 102 94 81 68 62 61 74 89 75 49 29 16 14 13 10 20 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 1 2 5 12 28 37 40 45 50 53 51 49 48 47 45 41 41 41 39 37 33 30 26 21 18 17 15 13 10 8 5 3 1 0 0 0 1 2 3 4 5 5 6 6 7 7 7 8 9 8 7 6 5 6 6 7 7 7 7 7
30 14 5 7 20 41 52 46 54 57 68 81 82 71 61 62 72 91 101 112 101 72 54 42 26 27 29 39 19 8 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 0 0 0 0 0 0 0 2 5 6 16 30 37 39 41 46 52 52 49 48 47 45 41 39 40 38 33 28 24 20 16 14 13 10 7 5 3 1 1 0 0 0 0 1 1 2 3 4 4 5 5 5 6 6 7 7 6 6 6 6 7 7 8 8 8 8 8
2 3 3 4 7 13 22 20 31 44 62 79 81 68 58 71 87 125 139 90 48 27 14 8 12 17 21 34 49 23 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 5 16 28 35 37 38 43 52 54 50 48 46 42 38 36 36 33 27 21 16 14 11 9 7 4 2 1 1 0 0 0 0 0 0 0 0 1 3 3 4 4 5 5 6 6 7 6 6 6 7 8 8 8 8 8 9 8 8
2 3 3 3 3 4 7 6 19 40 63 81 85 74 58 75 106 139 112 56 21 11 6 3 1 2 4 6 21 11 2 0 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 0 0 0 0 0 2 4 12 24 33 37 35 38 46 51 51 48 44 39 35 33 32 27 21 15 12 9 6 4 3 1 1 0 0 0 0 0 0 0 0 0 1 1 2 2 3 3 3 4 6 6 5 6 5 6 6 7 7 8 9 9 10 10 9
2 2 2 3 3 4 4 7 22 42 62 73 71 64 61 72 95 120 86 34 10 6 4 2 1 1 0 0 0 0 0 0 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 0 0 0 0 0 1 3 9 19 31 36 34 35 42 47 47 45 40 35 31 30 26 19 12 10 8 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 1 1 2 3 4 4 4 4 5 6 7 8 9 10 11 10 9
2 2 2 3 3 3 3 7 22 40 55 62 61 56 54 56 79 82 39 10 5 3 2 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 1 2 6 15 27 33 32 32 38 42 42 38 34 31 28 25 20 12 9 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 1 1 1 1 2 2 3 3 4 4 5 7 8 9 10 10 10
2 2 2 3 2 3 3 5 27 45 50 53 50 36 29 44 57 46 20 4 2 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 2 5 11 21 28 29 28 35 39 36 32 29 27 24 19 14 9 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 1 1 1 2 2 2 3 5 6 8 9 9 10 10
2 2 2 2 3 3 3 4 16 31 39 37 25 16 19 37 44 24 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 1 3 7 14 23 26 27 29 30 28 26 25 23 18 14 9 5 2 1 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 1 1 1 2 3 2 2 3 5 7 8 9 9 9
2 2 2 2 3 3 3 3 5 13 21 20 8 6 13 31 29 14 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 1 4 9 17 23 26 26 25 24 23 22 19 14 9 6 2 1 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 2 2 1 1 2 4 6 7 8 8 8
2 2 2 1 2 3 3 3 3 4 6 5 2 2 26 19 9 3 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 1 5 9 14 18 20 20 20 18 15 11 8 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 1 1 1 1 2 2 1 2 2 1 1 2 3 4 6 6 7 8
2 2 1 1 1 2 2 2 2 1 1 2 2 3 7 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 1 3 6 9 12 11 12 11 8 5 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 1 2 2 1 2 3 2 1 1 2 3 5 6 7 8
1 2 2 2 1 1 1 1 1 2 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 0 0 0 0 0 0 0 0 0 0 0 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 4 5 5 5 4 3 2 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 1 1 2 2 2 3 3 2 1 2 3 4 6 7 7
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