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 5 4 3 3 2 2 2 2 2 3 3 3 3 3 3 2 2 2 2 3 4 4 4 4 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 7 7 7 7 8 11 14 16 14 9 6 5 5 5 5 4 4 3 4 5 6 6 6 6 7 7 4 -0 -3 -3 1 4 5 6 6 7 7 7 7 7 7 6 6 6 5 5 5 5 6 6 8 9 11 12 12 11 10 8 6 5 4 3 3 3 4 4 5 5 5 6 6 6 6 7 7 7 7 7 7 6 nan
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nan 6 6 6 6 6 6 7 10 10 9 9 8 8 8 8 8 7 7 8 8 8 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 8 9 10 9 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 7 7 6 6 7 8 8 8 8 9 9 9 9 9 9 9 8 7 7 6 7 8 7 7 6 5 2 -2 -5 -4 -1 1 3 4 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 nan
nan 6 6 6 7 7 7 9 11 11 9 8 8 8 7 7 7 7 7 8 8 9 8 7 6 7 7 7 8 8 7 7 7 7 6 6 7 7 7 8 8 8 8 7 6 7 8 9 9 9 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 7 8 8 8 9 9 9 9 9 9 9 8 8 8 7 7 8 8 7 7 7 6 5 2 -1 -1 -1 1 3 5 5 5 3 3 3 4 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 nan
nan 7 7 7 8 8 8 10 11 10 9 8 8 8 7 7 7 7 7 8 9 9 9 8 7 7 7 7 8 8 8 8 7 7 6 6 6 6 6 7 8 8 8 7 7 7 8 9 9 8 8 7 7 8 8 8 8 8 8 8 8 8 9 9 9 8 7 6 6 7 8 8 8 9 9 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 5 3 2 1 2 5 8 8 6 3 1 1 2 4 5 5 5 5 5 5 5 5 5 5 6 6 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 nan
nan 7 7 8 8 8 8 10 11 9 8 8 8 8 8 8 8 8 8 8 9 10 9 8 8 7 7 8 8 9 9 8 7 7 6 6 6 5 6 6 7 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 9 8 6 6 7 7 8 8 8 9 9 9 8 7 7 7 7 7 8 8 8 8 8 9 9 8 7 6 6 6 5 4 5 8 11 10 7 3 -1 -2 0 3 4 5 5 5 5 5 5 5 5 5 6 6 7 8 8 8 8 8 7 7 7 7 7 6 6 7 7 7 nan
nan 7 7 8 8 7 8 10 11 10 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 9 10 9 8 7 7 7 6 6 5 6 6 7 7 8 8 8 8 9 9 9 9 8 8 8 8 8 9 9 8 8 8 9 9 9 9 8 7 6 6 7 8 8 8 8 8 9 9 8 8 8 7 7 7 8 8 8 8 8 9 9 8 7 7 7 7 6 6 7 9 10 10 7 3 -2 -4 -1 1 3 4 5 5 5 5 5 5 5 5 6 7 7 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 nan
nan 7 7 7 8 8 8 10 11 10 9 8 8 8 8 8 8 8 8 8 8 8 9 9 10 9 9 8 9 9 10 9 9 8 8 7 7 6 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 8 8 8 9 9 8 7 6 6 7 8 8 8 8 8 8 8 8 9 8 7 7 7 8 8 8 8 8 8 8 7 7 7 8 8 7 8 8 9 9 9 7 3 -1 -2 -1 0 2 3 5 6 5 5 5 5 5 5 6 7 7 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 nan
nan 7 7 7 7 8 9 10 10 10 9 9 8 8 8 8 8 8 8 8 7 7 8 9 9 9 8 8 7 8 9 10 11 10 10 9 8 7 7 7 8 9 10 10 10 10 10 9 9 9 10 10 10 9 8 8 7 6 6 7 7 7 7 8 8 7 6 7 7 8 8 8 8 8 7 8 8 8 8 8 7 7 8 8 8 8 9 9 8 7 7 8 8 8 8 8 8 9 9 8 7 5 3 3 2 1 1 2 4 5 5 5 5 5 5 6 6 7 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 6 nan
nan 7 7 7 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 8 9 8 8 8 7 6 6 8 10 11 12 11 9 8 8 7 7 8 9 10 11 11 10 10 9 9 9 10 11 11 10 9 8 7 7 7 7 6 6 7 9 9 8 7 7 7 8 9 8 8 7 7 8 8 8 8 7 7 7 8 8 8 9 9 8 7 7 8 8 8 8 8 8 8 9 9 8 7 7 7 7 5 3 2 2 3 4 5 5 5 5 5 6 7 7 8 8 8 7 7 7 7 7 6 6 6 6 6 6 6 6 nan
nan 7 6 7 7 8 8 8 9 9 9 8 8 8 8 8 8 7 8 8 8 9 9 9 8 8 8 7 6 5 6 8 10 11 10 9 8 8 8 8 8 9 10 11 10 10 9 9 9 10 11 11 10 10 10 10 9 9 8 8 7 7 8 10 9 8 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 9 9 8 7 7 7 8 8 8 8 8 8 9 9 9 8 8 8 8 8 7 6 5 4 3 3 4 5 5 6 6 7 7 8 8 8 7 7 7 7 7 7 6 6 6 6 6 6 6 6 nan
nan 7 7 7 7 7 7 7 8 9 9 8 8 8 7 7 7 7 7 8 9 9 9 10 10 10 9 8 8 6 5 6 7 8 9 8 8 7 7 8 9 10 11 10 9 9 8 8 9 10 11 10 10 10 10 10 10 9 9 9 8 9 9 9 8 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 7 7 7 8 8 8 8 8 9 9 9 8 8 7 8 8 8 8 8 8 7 5 4 4 6 8 8 8 8 8 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 nan
nan 7 7 7 7 7 7 7 8 9 8 8 8 7 7 7 7 7 7 8 8 8 9 10 11 11 10 10 9 8 6 5 5 6 7 7 6 6 6 7 8 10 11 9 8 8 8 8 8 9 10 10 10 10 10 10 9 9 9 9 9 9 9 7 6 7 8 8 8 8 8 8 7 7 7 8 8 7 6 6 6 7 8 8 7 7 8 8 8 8 8 8 8 8 8 9 9 8 8 7 7 7 7 7 8 8 8 8 7 6 7 9 11 12 11 10 7 6 6 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 nan
nan 8 8 8 8 7 7 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 9 9 10 11 11 11 10 9 7 6 5 5 6 6 6 6 6 7 8 10 10 9 9 8 8 8 8 9 9 9 10 10 10 10 9 9 9 9 9 9 8 5 5 7 8 9 9 8 8 8 7 7 7 8 8 7 6 6 6 7 8 7 6 7 8 8 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 9 11 13 14 11 7 2 1 4 6 7 7 7 7 7 7 6 6 6 6 6 6 6 6 nan
nan 8 8 8 8 8 8 8 8 8 7 7 7 6 7 7 8 8 8 8 8 8 8 8 9 9 10 11 11 10 9 8 7 6 7 7 7 7 7 8 8 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 7 5 5 7 8 9 9 9 9 8 7 7 8 8 8 7 7 7 7 8 8 7 6 7 8 8 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 10 9 5 -2 -7 -4 3 6 7 7 7 7 7 7 6 6 6 6 6 6 6 6 nan
nan 9 9 8 8 8 7 7 7 8 8 8 7 6 6 7 7 8 8 8 7 7 7 8 8 9 10 11 11 11 11 10 8 8 8 8 9 8 8 8 8 9 10 10 10 11 11 11 10 9 9 8 7 8 8 9 10 10 10 9 9 8 7 6 6 7 8 9 9 8 8 8 8 8 8 8 7 7 8 8 8 8 7 7 7 7 8 8 8 8 8 9 9 9 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 5 -2 -10 -11 -4 3 6 7 8 8 7 7 7 7 6 6 6 6 6 6 6 nan
nan 9 9 8 7 7 7 7 7 8 9 9 8 7 6 6 6 7 7 7 7 8 8 8 8 9 9 10 10 11 11 11 10 9 9 9 9 9 8 8 8 8 9 9 10 11 11 11 11 10 8 7 7 8 8 9 10 10 10 8 7 5 4 4 6 9 10 10 8 7 7 7 8 8 9 8 7 7 8 9 9 8 7 7 8 8 8 7 7 7 7 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 2 -5 -10 -8 -0 5 8 8 8 8 8 8 7 7 6 6 6 6 6 6 6 nan
nan 9 9 8 8 8 8 7 7 8 9 10 9 8 7 6 6 6 6 7 7 8 8 8 9 9 9 9 9 9 10 11 11 10 9 9 9 9 8 8 7 7 8 8 8 8 9 11 11 10 10 9 8 9 9 9 9 9 9 7 4 2 2 4 7 11 13 11 9 7 6 6 6 7 8 8 8 8 8 9 9 9 9 9 8 8 7 7 7 7 7 8 8 9 9 9 9 8 8 8 8 8 8 9 9 8 7 7 7 7 7 7 5 1 -5 -6 -1 6 11 11 10 9 9 8 8 7 7 6 6 5 5 5 6 6 nan
nan 9 9 8 8 8 8 8 8 8 9 10 9 9 7 7 6 6 6 6 7 7 8 8 8 9 9 9 9 9 9 10 11 10 9 9 8 9 8 8 7 7 7 7 7 7 7 9 11 11 11 11 11 10 9 8 8 8 7 6 4 2 3 6 11 14 15 13 10 8 6 6 6 7 8 8 8 8 7 7 7 9 10 9 8 7 6 7 7 7 8 8 9 9 9 8 8 8 8 8 8 8 9 9 9 9 8 7 7 7 7 7 5 2 0 3 10 16 16 14 11 10 9 9 8 7 6 6 5 5 5 5 6 6 nan
nan 9 9 9 8 8 8 8 8 8 9 9 9 9 8 7 7 6 6 6 6 7 7 7 7 8 8 9 10 10 9 9 9 9 8 8 8 8 8 8 8 7 7 6 7 6 6 7 9 10 11 11 11 11 9 8 7 7 7 6 5 4 6 10 14 15 15 12 10 9 8 8 8 8 8 8 7 6 5 5 7 9 10 9 7 6 6 7 8 8 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 8 8 7 7 7 7 7 7 9 14 18 19 17 14 13 11 10 8 7 6 6 6 5 5 5 5 6 6 nan
nan 9 9 9 9 8 8 7 7 8 9 9 9 9 8 8 7 7 6 6 7 7 8 8 7 7 8 9 10 10 9 8 7 7 7 7 7 8 9 10 9 8 6 7 8 7 6 6 7 8 9 9 10 11 10 8 7 7 7 7 6 7 9 12 14 14 12 10 9 9 10 10 10 10 9 8 7 6 5 6 8 9 8 7 6 6 7 8 9 9 9 10 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 8 8 7 7 7 8 10 12 15 16 15 13 13 12 11 8 5 4 5 6 5 5 5 5 6 6 6 nan
nan 9 9 9 9 8 8 7 7 8 9 9 9 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 9 8 7 7 7 7 7 7 7 8 11 11 10 8 7 8 10 9 8 6 6 6 7 7 8 9 8 8 7 7 7 7 6 7 9 11 11 11 10 9 10 10 11 11 11 10 8 7 7 6 7 7 7 7 6 5 5 6 7 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 7 8 9 9 10 10 10 9 9 10 9 7 4 1 2 4 5 5 5 5 6 6 6 7 nan
nan 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 9 9 9 9 8 8 7 7 7 8 7 7 6 8 9 10 10 9 9 10 10 10 9 8 6 4 4 5 6 7 7 7 6 6 6 6 6 7 9 10 10 9 9 10 11 12 11 10 10 9 8 7 6 6 8 8 7 5 5 5 6 6 7 8 9 9 8 7 7 7 7 8 8 9 9 9 9 9 9 10 9 9 9 9 9 9 8 8 9 9 9 8 7 6 4 3 1 -1 -4 -4 1 3 5 5 6 6 6 6 7 7 nan
nan 8 8 9 9 9 9 8 8 8 9 8 8 8 8 8 8 9 8 8 7 7 7 7 8 9 10 10 10 9 8 8 9 9 8 7 5 5 6 8 8 9 9 9 10 10 10 9 7 4 4 4 5 6 7 7 6 6 6 6 6 6 8 9 9 9 9 10 12 12 10 10 10 9 8 7 7 7 8 7 6 5 5 6 6 7 7 8 8 8 7 6 6 7 8 8 9 9 10 10 9 10 10 10 9 9 9 9 9 9 9 9 9 10 9 7 4 0 -4 -7 -8 -10 -10 -5 1 4 6 6 6 6 6 7 7 7 nan
nan 8 8 9 9 9 9 8 8 8 9 9 9 8 8 9 9 9 9 9 7 6 5 6 7 9 10 10 10 9 9 8 9 9 9 6 3 3 4 6 8 8 8 9 9 9 10 10 9 7 6 6 6 6 6 6 7 7 7 6 5 4 5 7 8 8 8 9 10 10 9 9 10 9 8 8 9 9 8 7 5 5 6 7 7 8 8 8 7 7 6 6 6 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 6 3 -1 -4 -8 -9 -9 -6 0 4 6 6 6 6 6 7 7 7 7 nan
nan 8 8 8 9 9 9 8 8 8 8 9 9 9 9 8 8 9 8 8 7 6 6 6 7 8 9 10 10 10 9 9 9 9 8 6 3 2 4 6 7 7 7 8 8 9 9 9 9 9 9 9 8 7 7 6 7 8 8 7 4 3 3 5 6 7 7 8 8 8 8 8 9 9 9 9 10 9 7 5 4 5 7 8 9 9 8 8 8 7 7 7 7 7 8 8 9 9 9 9 8 8 9 9 9 9 9 9 9 8 8 8 8 8 7 7 6 6 5 3 1 0 3 5 6 6 6 6 7 7 7 7 7 7 nan
nan 8 8 8 8 9 8 8 8 8 8 8 9 9 8 8 8 7 7 7 7 8 8 8 8 8 8 9 10 10 10 10 10 10 8 5 3 3 5 6 7 7 7 7 7 8 8 8 9 10 10 10 10 10 9 9 9 10 10 9 7 5 4 5 6 7 7 8 7 5 6 7 8 9 9 9 8 7 6 4 5 6 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 9 10 10 10 10 9 8 8 9 9 8 8 9 10 12 12 11 9 6 4 4 5 6 7 7 7 7 7 7 7 7 nan
nan 8 7 7 8 8 8 8 8 8 8 8 9 9 8 8 8 7 7 7 8 8 9 9 8 8 8 9 10 10 10 11 11 10 9 7 5 5 6 7 8 7 7 7 7 7 7 8 8 9 10 10 10 11 11 11 12 12 12 12 11 10 8 7 7 7 7 6 5 5 5 6 7 8 8 7 6 5 4 4 6 7 9 9 8 7 7 7 8 8 8 9 9 9 8 8 8 8 8 8 8 8 9 9 10 11 11 10 10 9 8 9 9 9 9 10 10 11 12 11 7 3 1 2 4 6 7 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
285 260 229 183 134 95 49 27 20 14 10 12 14 16 17 18 20 23 23 24 29 42 50 56 67 79 86 86 84 86 87 73 78 74 74 72 66 56 48 47 48 50 52 51 45 44 49 56 63 66 69 75 83 86 85 74 78 85 86 77 68 66 65 49 26 20 12 13 13 12 8 5 3 1 0 0 0 0 0 0 0 0 0 5 31 52 22 3 1 3 12 18 21 25 26 25 25 27 33 37 41 50 62 91 152 236 358 482 528 493 415 316 221 157 119 106 93 77 63 56 54 52 49 44 42 43 44 45 47 47 49 55 66 86 130
286 262 237 204 166 130 92 55 33 20 14 14 17 21 23 26 31 40 37 32 32 49 73 90 101 110 114 105 77 77 86 86 95 94 86 77 64 51 45 44 44 45 51 53 47 45 49 54 58 60 63 67 85 92 93 92 91 89 82 71 64 67 67 36 20 18 16 14 11 8 5 4 2 0 0 0 0 0 0 0 0 0 2 8 24 49 44 21 12 7 11 13 15 18 23 25 24 24 33 36 37 43 51 65 79 119 229 391 516 591 553 450 345 283 230 187 148 111 83 65 56 54 49 46 46 46 47 47 47 48 51 54 56 59 73
282 255 241 222 194 163 134 102 74 53 42 34 29 40 48 56 67 74 72 71 79 97 119 139 152 157 154 134 95 97 104 109 111 105 93 80 65 53 39 43 42 44 45 47 48 50 53 55 54 54 61 66 77 86 90 89 82 75 67 58 66 101 66 30 21 19 15 9 6 5 3 3 2 1 1 0 0 0 0 0 0 0 2 12 32 60 55 49 43 27 22 21 17 14 17 23 30 28 32 35 38 40 41 49 59 82 154 296 504 763 862 749 602 517 435 354 277 200 136 100 85 75 64 58 55 53 51 50 51 53 55 57 54 51 55
284 255 243 232 211 185 162 143 123 102 85 74 71 79 85 92 101 107 116 128 135 156 180 190 193 187 181 160 143 140 137 138 133 123 113 97 76 78 52 56 51 50 46 44 51 58 60 60 56 59 66 72 76 81 84 79 68 60 63 76 97 103 49 20 18 16 13 9 8 8 4 2 1 2 1 1 0 0 0 0 0 0 1 8 31 81 69 67 65 54 47 40 27 15 16 19 29 31 32 32 36 39 37 37 41 51 76 143 342 765 1140 1282 1190 998 844 715 553 416 306 224 171 134 105 85 77 73 71 67 63 68 63 59 53 49 49
301 268 253 239 227 210 186 166 152 138 128 125 125 124 126 128 133 147 165 183 196 215 230 221 213 199 182 172 173 175 174 181 179 179 189 169 139 119 87 83 78 67 60 57 61 66 66 65 61 71 77 84 80 80 80 71 59 56 67 82 79 43 29 19 20 18 13 9 9 8 5 3 2 3 1 1 0 1 1 0 0 0 0 3 30 79 87 81 77 75 75 70 53 33 24 21 25 30 33 31 32 35 37 40 40 42 44 57 159 516 964 1368 1592 1520 1359 1199 936 700 521 401 327 254 183 133 109 103 103 103 91 97 90 81 69 57 52
311 283 265 250 243 227 201 187 182 179 176 173 169 166 169 179 193 200 208 231 247 250 251 235 218 194 183 200 208 211 216 211 198 195 198 211 221 188 149 134 135 121 103 89 80 81 81 83 88 101 95 92 79 82 80 65 53 54 58 54 36 17 24 24 15 11 10 7 6 5 5 2 2 2 1 0 0 1 0 0 0 0 1 3 24 65 99 104 100 101 106 99 70 53 45 32 26 28 31 32 32 34 36 38 43 43 41 43 79 239 516 884 1274 1463 1393 1289 1094 862 668 540 463 376 277 200 159 142 124 125 116 118 121 116 102 87 79
334 322 300 271 250 242 234 227 216 202 190 181 181 189 201 221 233 227 225 243 252 239 232 226 213 205 224 248 251 247 253 245 220 200 183 173 180 196 177 200 213 198 177 157 137 123 119 120 128 145 130 130 110 95 84 66 58 69 65 47 21 13 18 18 12 8 7 5 4 4 4 1 1 1 0 0 0 0 0 0 0 0 2 8 26 64 114 142 142 138 145 131 91 56 50 43 33 29 27 27 30 30 30 28 36 39 42 44 55 98 205 403 657 861 928 939 903 800 670 569 503 426 333 256 212 172 136 124 124 130 137 141 136 122 132
361 350 327 293 274 274 269 242 200 168 153 147 154 179 198 220 223 220 215 219 223 214 214 221 219 239 269 279 282 281 285 284 265 237 213 213 206 215 204 208 229 249 257 252 235 207 183 178 162 174 165 154 134 112 100 95 96 115 139 108 66 45 34 24 18 14 9 5 5 3 3 3 3 2 1 1 0 0 0 0 1 1 5 21 41 78 136 187 208 200 187 166 140 95 71 64 58 43 26 21 23 27 26 26 29 34 40 45 49 59 94 187 310 416 517 625 674 647 579 513 464 395 307 242 196 150 128 130 137 137 138 147 153 144 140
388 363 339 320 298 269 228 177 132 106 99 111 116 149 168 181 196 204 205 208 212 216 232 236 236 259 276 291 302 306 307 309 311 308 292 299 285 287 281 277 297 324 335 332 326 315 292 282 260 246 229 211 185 159 149 150 152 167 188 170 126 76 50 42 33 23 21 12 10 10 11 9 8 7 6 2 1 0 0 0 1 6 12 45 86 130 188 253 301 311 270 241 227 188 153 131 105 75 50 31 19 26 29 28 28 31 36 39 42 47 58 91 144 220 305 433 508 510 473 409 334 278 216 173 132 108 102 107 121 135 135 141 153 149 136
406 381 365 336 272 206 155 119 100 95 95 98 104 133 150 160 173 186 199 208 215 226 216 250 265 285 305 319 328 337 343 349 383 393 375 366 372 376 377 389 407 419 417 411 404 414 404 398 396 378 346 315 287 265 255 242 245 246 229 216 187 140 104 87 65 47 44 27 15 13 14 12 9 6 3 1 0 0 0 0 3 10 31 79 135 181 232 318 403 465 447 416 394 355 297 234 176 139 110 67 43 45 54 45 34 31 31 33 35 37 40 49 59 93 166 261 332 361 353 279 205 161 133 120 100 86 88 91 104 124 125 116 122 118 106
416 394 363 306 222 165 142 122 104 113 122 109 108 132 145 145 153 170 181 183 187 207 226 251 278 304 328 351 368 386 409 433 484 494 494 493 482 471 473 478 482 488 486 487 478 471 454 447 450 451 440 410 377 360 377 362 349 323 290 267 250 205 146 117 105 100 92 34 12 8 11 9 6 4 4 3 1 0 0 0 5 15 37 87 163 229 284 391 489 599 642 644 630 595 519 401 300 274 229 177 135 117 117 91 55 41 34 37 37 34 34 34 37 48 82 133 175 199 218 182 153 137 137 159 158 133 142 151 146 146 142 112 107 104 99
374 339 288 240 184 148 136 123 115 121 123 117 124 132 131 128 137 149 151 156 169 191 218 255 298 335 364 391 413 434 465 479 525 568 603 631 630 598 576 565 544 515 497 493 476 459 441 430 435 434 433 459 465 448 448 448 411 363 323 298 276 233 183 159 137 126 115 43 13 6 7 7 4 1 1 2 0 0 0 1 9 22 47 102 198 287 373 479 569 679 775 849 899 899 806 666 596 559 485 409 327 276 236 176 131 101 82 64 55 45 39 36 35 40 59 80 104 119 143 155 169 198 221 251 270 244 239 260 293 273 253 211 166 133 124
299 263 223 194 169 152 142 135 135 130 119 113 126 130 122 120 132 141 138 154 175 194 235 281 328 364 393 421 446 468 500 528 575 628 669 697 692 656 611 567 507 450 444 462 417 403 387 379 399 427 442 457 479 483 498 485 430 377 339 317 297 255 206 173 148 105 109 70 29 8 2 2 1 0 1 0 0 0 2 7 18 37 72 130 246 343 432 535 642 744 839 919 996 1094 1134 1098 1013 941 829 719 611 535 481 398 312 276 229 157 120 95 83 80 76 77 97 96 125 153 176 206 238 285 326 344 360 342 321 334 394 400 386 360 320 258 182
265 247 228 229 227 202 171 157 149 139 133 120 125 137 143 146 152 160 173 194 212 240 279 319 359 393 425 457 485 509 548 599 635 696 707 676 655 621 545 458 381 348 380 412 389 353 319 309 322 340 358 389 444 476 515 481 425 380 350 329 308 275 206 186 177 109 92 81 51 19 0 0 0 0 0 0 0 1 5 15 30 56 105 176 297 409 508 613 725 822 897 958 1007 1090 1166 1234 1254 1238 1153 1039 929 841 777 690 558 506 418 342 284 234 213 220 204 175 170 174 204 244 277 310 342 375 411 428 445 443 427 425 448 460 459 461 463 433 351
354 377 362 368 370 321 242 209 176 151 139 128 130 150 176 195 203 201 203 239 251 292 320 364 401 432 468 504 531 547 588 616 656 708 704 644 574 508 431 355 317 311 344 347 348 316 283 269 270 284 313 312 416 464 471 438 396 360 333 316 303 310 253 202 181 134 114 98 80 58 7 11 3 0 0 0 0 1 6 21 47 90 167 270 389 492 589 684 783 875 951 1020 1068 1116 1124 1221 1276 1314 1312 1262 1191 1122 1067 981 879 805 713 614 526 458 415 431 399 379 361 336 338 360 380 400 426 445 464 496 535 550 545 536 532 526 520 517 546 560 536
346 365 352 375 417 396 321 299 233 181 144 133 143 160 192 226 237 253 257 294 298 344 387 421 450 474 497 518 542 560 581 579 599 621 596 504 389 325 306 295 317 335 338 329 330 310 275 256 257 254 304 287 359 386 384 371 347 320 307 300 290 269 201 163 140 120 96 69 58 59 10 10 5 2 1 0 0 3 17 43 84 153 249 350 465 579 671 746 821 903 995 1098 1171 1208 1170 1171 1205 1253 1297 1315 1312 1283 1255 1232 1157 1081 1010 917 811 730 665 657 640 620 615 577 547 534 526 520 525 539 548 574 625 660 675 672 653 626 609 595 621 660 682
179 175 149 173 252 297 299 302 259 223 184 156 149 169 209 250 274 275 304 325 352 384 416 452 484 502 514 526 537 545 535 504 474 449 414 344 274 263 251 293 325 340 332 329 317 287 255 240 257 277 299 318 330 330 319 306 291 274 264 257 230 181 136 104 85 75 63 42 25 24 9 4 3 5 3 1 1 11 38 80 139 228 331 452 555 644 722 789 862 939 1020 1111 1177 1215 1217 1202 1195 1208 1232 1248 1269 1285 1278 1261 1242 1207 1174 1131 1050 979 917 873 840 813 819 809 777 742 706 670 655 666 676 698 735 774 804 820 821 793 760 740 744 744 765
64 73 71 73 109 167 226 252 262 265 246 223 197 209 245 253 281 314 346 358 392 424 448 476 503 519 534 538 515 484 441 392 339 289 252 217 186 209 233 262 264 280 317 328 311 296 280 241 247 276 297 290 272 257 247 241 234 210 179 154 127 104 97 85 65 48 38 30 19 13 8 5 4 5 4 2 7 26 65 123 200 308 404 502 588 658 728 799 869 952 1017 1081 1123 1140 1153 1162 1170 1176 1176 1170 1194 1257 1300 1310 1300 1266 1241 1233 1191 1129 1088 1048 1003 969 957 958 954 934 901 870 836 825 831 841 863 898 924 942 970 960 944 930 922 906 896
48 41 41 44 60 100 159 209 247 265 266 259 258 257 252 270 290 311 327 362 402 441 468 492 513 517 525 510 454 386 313 252 209 171 140 133 151 175 199 223 267 299 314 305 290 284 272 236 231 239 226 219 208 197 188 180 171 140 110 93 79 66 59 55 48 38 26 19 14 11 7 6 6 6 5 4 15 50 97 167 263 361 435 500 568 646 733 805 869 941 984 1009 1015 1005 1004 1034 1074 1123 1177 1230 1298 1400 1474 1470 1414 1363 1320 1301 1281 1159 1108 1088 1088 1077 1054 1052 1066 1057 1039 1029 1003 984 975 977 1006 1048 1075 1093 1117 1132 1137 1126 1101 1055 1008
39 30 26 27 30 42 78 103 167 203 226 243 259 273 279 281 287 306 333 367 394 440 478 497 502 488 477 441 371 283 202 141 98 78 88 128 186 227 235 219 258 280 271 254 246 240 232 217 211 212 204 198 180 155 138 126 109 80 64 51 43 38 36 34 31 25 19 16 14 13 10 9 8 7 6 11 33 79 130 207 302 381 436 488 556 646 747 809 864 901 910 900 886 865 855 923 1031 1155 1281 1433 1595 1678 1678 1647 1550 1419 1289 1246 1227 1130 1104 1153 1195 1178 1141 1128 1132 1120 1097 1080 1087 1108 1112 1106 1137 1180 1224 1276 1305 1308 1316 1322 1302 1282 1284
17 15 14 13 16 13 26 26 60 77 104 135 172 226 271 290 285 298 339 370 405 445 478 486 463 424 388 349 274 189 122 77 53 59 100 166 216 224 242 212 209 202 190 188 191 193 198 188 169 150 140 138 129 109 88 72 47 35 28 21 19 20 20 19 19 19 17 20 20 17 14 12 11 9 10 20 56 94 151 225 307 386 446 487 551 641 717 769 797 798 788 774 745 715 755 886 1076 1243 1327 1414 1499 1523 1484 1400 1295 1205 1137 1104 1091 1070 1087 1151 1229 1265 1239 1209 1191 1167 1135 1111 1125 1159 1175 1181 1214 1275 1351 1436 1455 1450 1463 1465 1458 1506 1483
1 4 5 1 3 3 7 6 10 19 34 56 96 149 176 286 281 307 306 352 415 459 469 446 397 334 281 246 174 111 73 59 61 74 99 133 133 138 141 125 112 107 109 120 130 133 124 108 83 73 78 83 78 58 32 19 12 14 13 9 7 7 9 12 13 15 16 20 20 18 17 14 12 11 12 25 57 93 149 222 305 383 437 481 533 600 645 667 663 655 654 642 607 581 629 770 945 1048 1047 1042 1048 1050 1051 1037 1048 1035 1029 1026 1041 1046 1067 1178 1324 1357 1310 1270 1245 1222 1190 1161 1150 1149 1163 1187 1259 1311 1359 1405 1422 1431 1424 1420 1489 1543 1590
0 0 1 0 1 2 4 3 3 9 20 34 55 85 130 201 203 216 256 313 390 440 418 357 293 229 185 148 98 63 46 40 37 34 39 47 32 16 12 18 27 33 41 53 63 64 42 22 13 13 18 21 22 17 6 5 7 8 9 7 5 4 7 10 11 11 11 13 14 14 14 13 10 8 12 24 44 73 129 199 271 339 387 431 470 500 517 516 501 500 511 496 439 385 411 508 553 574 606 639 660 684 731 753 835 894 932 961 991 980 920 1013 1144 1256 1285 1280 1275 1268 1244 1198 1146 1137 1132 1164 1197 1208 1191 1154 1146 1147 1087 1095 1186 1260 1303
0 0 0 1 5 10 9 8 9 9 12 32 74 121 151 136 139 174 201 252 344 400 341 237 174 133 104 70 40 25 20 14 8 4 5 5 4 4 4 4 5 7 9 11 15 16 7 2 0 0 1 1 1 1 1 2 3 4 4 3 1 1 3 4 3 3 4 5 5 6 8 7 4 1 6 17 29 46 85 132 175 224 274 320 342 346 352 352 348 352 364 355 312 282 241 270 297 321 355 401 434 448 491 549 644 730 805 867 915 937 852 867 981 1114 1206 1255 1287 1311 1321 1308 1270 1241 1188 1236 1292 1296 1192 998 834 792 770 787 832 886 917
0 1 6 17 24 18 10 6 4 4 11 30 56 53 32 36 62 117 185 257 304 280 182 103 69 52 38 21 8 4 3 1 0 0 0 1 1 2 2 2 3 3 2 1 1 1 1 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 1 1 0 0 0 1 1 1 2 2 0 2 5 8 11 17 30 47 66 90 126 193 230 227 223 232 250 269 269 270 254 216 194 200 222 249 277 320 357 380 419 473 540 613 716 840 924 970 952 950 991 1085 1168 1227 1282 1336 1340 1329 1281 1243 1227 1320 1454 1522 1459 1223 967 883 828 802 813 837 826
0 2 10 22 20 9 3 1 0 4 13 21 23 14 10 13 22 73 159 221 211 137 52 17 8 7 7 3 1 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 6 13 25 45 103 159 178 181 202 246 287 290 262 235 221 234 257 282 308 337 362 391 426 466 511 567 639 747 899 982 977 972 1017 1085 1164 1236 1291 1343 1319 1150 1197 1111 1055 1142 1344 1626 1930 1907 1644 1398 1275 1205 1153 1120 1074 1001
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