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 2 2 2 2 3 3 3 3 3 2 2 2 2 2 3 3 3 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 6 8 12 15 15 12 8 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 4 -1 -4 -2 3 6 7 9 11 11 10 9 7 7 7 7 7 7 7 7 7 6 6 5 5 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 5 5 5 5 6 7 7 6 5 5 5 6 8 8 nan
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nan 8 8 8 7 7 7 8 10 10 9 8 7 7 7 7 7 7 7 8 8 8 8 7 7 7 8 8 7 7 7 8 8 8 7 7 6 6 7 7 7 7 7 7 7 7 8 9 9 8 7 7 6 6 7 8 8 8 9 9 9 9 8 8 7 8 9 9 7 6 6 6 6 5 6 6 8 9 8 8 8 8 7 8 8 7 7 7 7 7 7 6 4 3 4 5 6 7 9 10 9 6 4 3 3 3 4 6 7 8 8 9 9 9 9 9 9 9 9 9 8 8 7 7 6 6 6 6 6 6 6 6 6 6 nan
nan 8 7 7 7 7 8 9 11 11 9 8 8 7 7 7 7 7 7 8 8 9 9 8 8 7 8 8 8 7 7 7 8 8 7 6 6 5 6 6 7 7 7 7 7 8 8 9 9 8 7 6 6 6 7 8 8 9 9 9 9 9 8 8 8 9 9 8 7 6 5 5 5 5 6 6 7 8 8 8 9 9 8 8 7 7 7 7 7 7 7 7 6 6 6 5 6 8 11 12 9 6 3 1 2 3 5 6 7 8 9 9 10 10 10 10 10 9 9 9 8 8 7 7 6 6 6 6 6 6 6 6 6 7 nan
nan 7 7 8 8 8 9 10 11 10 9 8 8 8 7 7 7 7 7 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 7 6 6 5 5 6 6 7 7 7 8 8 9 9 8 8 7 6 7 7 8 8 9 9 9 9 9 8 8 8 9 9 9 8 6 5 5 5 5 6 6 7 8 8 8 8 9 9 8 7 7 7 7 7 7 7 8 8 7 7 7 7 7 9 12 12 8 4 1 -1 1 3 5 6 7 8 9 10 10 10 10 10 10 9 9 8 8 7 7 7 7 6 7 7 7 7 7 7 7 7 nan
nan 7 7 8 8 8 9 10 10 9 8 8 8 8 8 8 8 7 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 7 7 7 6 6 5 5 6 6 7 8 9 9 9 9 8 8 7 7 7 8 9 9 9 9 9 8 8 8 8 8 9 9 9 7 6 4 4 4 5 6 7 8 8 8 8 8 9 9 8 7 7 7 7 8 7 7 8 8 8 8 8 8 8 9 10 9 7 3 -1 -2 1 4 5 6 7 8 9 10 10 10 10 10 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 7 7 8 7 7 8 10 10 9 9 8 8 8 8 8 8 8 8 7 8 8 8 9 9 8 8 8 8 9 9 9 8 8 8 9 8 7 6 6 6 6 7 9 9 10 10 9 8 8 8 8 9 9 9 9 9 8 8 7 7 7 8 8 9 9 8 7 5 4 4 4 5 7 8 9 9 8 8 9 9 8 8 7 7 7 8 8 7 8 8 8 8 8 8 7 7 8 8 8 6 3 -0 -0 2 4 5 5 6 7 8 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 nan
nan 6 6 6 7 8 9 10 10 9 9 8 8 8 8 8 8 8 8 7 7 7 7 8 9 9 9 9 9 9 9 9 10 10 10 10 9 8 7 6 6 7 8 9 10 10 10 9 8 8 8 9 10 10 10 9 8 8 7 6 6 7 8 9 9 9 8 6 4 3 3 4 6 8 9 9 9 9 8 8 8 8 8 7 7 8 8 7 8 8 8 8 8 8 8 7 7 7 7 7 6 5 3 4 5 5 5 5 6 6 7 8 8 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 nan
nan 6 6 6 7 9 10 10 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 9 9 9 8 7 8 9 10 11 11 10 9 8 7 6 7 8 9 10 10 10 9 8 7 8 9 10 11 11 11 10 9 8 7 6 6 7 8 9 10 9 7 4 3 2 4 6 7 9 9 9 9 9 8 7 7 8 8 8 8 8 8 7 8 8 8 8 8 8 8 7 7 6 6 6 6 6 7 8 7 6 5 5 6 6 6 7 8 8 9 8 8 7 6 6 6 6 7 7 7 7 7 8 8 8 9 9 10 10 nan
nan 7 7 7 8 9 10 10 9 9 8 8 8 7 7 7 7 7 7 7 7 7 8 8 9 9 10 10 8 7 7 8 9 10 10 10 8 7 7 7 7 8 9 10 10 9 8 8 8 9 11 11 12 12 11 11 10 8 7 7 7 8 9 10 10 8 5 3 2 3 5 7 9 9 10 9 9 8 7 7 7 7 8 8 9 9 8 7 8 8 8 8 8 8 7 7 6 6 6 6 7 8 9 9 8 7 7 6 5 5 6 7 8 9 9 8 7 6 6 5 6 6 7 7 7 7 8 8 9 9 10 10 10 11 nan
nan 7 8 8 9 9 9 9 9 9 8 7 7 7 6 6 6 7 7 7 7 7 8 8 9 10 11 10 9 7 7 7 8 9 9 9 8 7 7 7 8 9 10 9 9 8 7 8 8 10 12 12 12 12 12 11 10 8 8 8 9 9 9 10 9 7 4 2 2 4 6 9 10 10 9 9 8 7 7 7 7 7 8 9 9 9 8 7 7 8 8 8 8 7 7 6 6 6 6 7 8 9 9 9 8 8 8 7 6 6 6 8 10 11 11 9 7 5 4 5 6 7 7 7 7 8 8 9 10 10 11 11 11 11 nan
nan 8 8 8 9 8 8 8 9 9 8 7 7 6 6 6 6 7 7 8 8 8 8 8 9 10 11 11 10 9 8 7 8 8 9 8 7 7 7 7 8 10 10 9 8 7 7 8 9 10 12 12 12 12 11 10 8 8 9 10 10 10 9 8 7 5 4 3 4 6 9 10 10 10 9 8 7 7 7 7 7 7 8 9 9 8 8 7 7 7 8 8 7 6 6 6 6 6 7 8 9 9 9 8 8 8 8 8 7 7 8 10 13 14 12 9 5 2 2 4 6 7 7 8 8 8 9 10 11 11 11 11 11 11 nan
nan 8 8 8 8 7 7 8 9 10 9 7 6 6 6 6 6 7 7 8 8 8 8 8 8 9 11 11 11 10 9 9 9 9 9 8 7 7 7 7 8 9 9 9 8 7 7 8 9 11 11 12 12 11 10 8 8 9 11 11 11 10 8 5 4 3 3 4 6 8 10 11 10 9 8 7 6 6 7 8 9 8 8 8 8 8 7 7 7 7 8 7 7 6 6 6 7 8 9 9 9 9 8 8 8 7 7 8 8 8 10 12 14 14 11 5 -1 -3 1 5 7 7 8 8 8 9 10 11 11 11 11 11 10 10 nan
nan 9 9 8 8 7 7 8 9 10 9 8 7 6 6 6 6 7 7 7 7 8 8 8 8 9 10 10 10 10 10 10 10 10 9 9 8 7 7 7 8 8 9 8 8 7 8 9 10 11 11 10 10 9 8 8 9 11 13 13 12 9 5 2 1 1 3 6 8 10 11 11 9 8 7 6 6 7 8 9 10 9 8 7 7 7 7 7 7 7 8 7 7 7 7 7 8 9 9 9 8 8 8 8 7 7 7 7 8 9 9 10 10 9 4 -3 -10 -7 1 5 7 8 8 9 9 10 10 11 11 11 10 10 10 9 nan
nan 9 9 9 8 8 7 8 8 9 10 9 8 7 6 6 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 10 11 11 10 9 8 7 7 8 8 8 8 8 8 8 9 10 11 11 10 9 8 8 8 9 10 12 13 13 11 6 0 -2 -2 1 5 8 11 11 11 9 8 7 6 6 7 7 9 10 10 9 8 7 7 7 7 6 7 7 8 8 8 7 8 8 9 9 9 8 8 8 8 8 7 6 6 7 8 8 8 8 7 4 -2 -10 -12 -5 3 7 9 9 9 9 9 10 10 10 10 10 10 9 9 9 nan
nan 9 9 9 8 8 8 7 8 8 9 10 9 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 10 11 11 9 8 8 8 8 8 8 8 8 8 7 9 10 10 10 9 8 8 8 8 9 10 11 12 10 6 0 -3 -3 -0 4 9 11 12 11 9 7 6 6 6 7 7 8 9 10 10 9 8 7 7 7 6 7 7 7 7 8 8 8 8 9 9 9 8 8 8 8 8 7 7 7 6 7 8 8 8 8 6 2 -5 -10 -7 1 7 10 10 10 9 10 10 10 10 10 9 9 9 9 8 8 nan
nan 9 9 9 9 9 8 7 7 8 9 10 9 8 7 7 6 6 6 7 7 7 8 7 7 8 8 8 8 8 8 9 10 10 10 9 8 8 9 9 9 8 8 8 7 7 7 9 10 10 10 9 9 9 9 9 9 9 9 6 2 -2 -2 1 5 9 12 13 12 9 7 6 6 7 7 8 8 9 9 10 10 9 8 7 7 6 7 7 7 7 7 8 8 8 10 10 9 9 8 8 8 7 7 8 8 7 7 7 7 7 7 7 5 1 -5 -5 2 10 14 13 11 10 10 10 10 10 10 9 9 9 9 8 8 7 nan
nan 9 9 10 9 9 8 8 7 8 9 9 9 9 8 7 6 6 7 7 7 8 8 7 7 8 8 8 8 8 8 8 8 9 9 9 8 9 9 10 9 9 8 8 8 7 7 7 9 10 11 11 10 9 8 8 8 8 6 4 1 -0 1 5 9 13 14 13 10 7 6 6 7 8 8 8 9 9 9 9 9 8 8 7 7 6 7 7 7 7 8 9 9 10 10 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 6 5 3 2 6 14 19 18 15 12 11 10 10 10 9 9 9 9 8 8 8 8 7 nan
nan 9 9 9 9 9 8 8 8 8 9 9 9 9 8 7 7 7 7 7 7 8 8 8 7 7 8 8 8 8 7 7 7 7 8 8 8 9 10 10 10 9 7 7 7 7 7 6 7 9 10 10 9 9 8 7 7 7 5 3 2 3 5 9 12 13 13 10 7 6 6 8 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 6 6 6 7 8 8 10 15 20 20 18 14 12 11 10 8 8 8 9 9 9 8 8 8 8 7 nan
nan 9 9 8 9 9 9 9 9 9 9 9 9 9 8 7 7 7 7 7 7 8 8 7 7 7 8 8 9 8 7 6 7 7 7 7 8 9 10 11 10 9 7 7 7 8 7 6 6 7 7 8 8 9 8 7 7 6 5 4 4 6 8 10 11 11 9 6 6 7 8 10 10 10 9 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 7 8 10 10 12 14 15 14 12 11 11 10 7 6 6 8 9 9 8 8 8 7 7 7 nan
nan 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 8 8 8 7 7 8 8 9 8 8 8 8 8 7 6 7 9 10 10 10 9 8 8 9 9 9 8 6 6 5 5 6 7 8 7 6 5 5 5 5 7 10 10 10 8 6 5 6 9 10 10 10 9 8 8 7 8 8 7 7 8 8 7 7 7 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 9 10 10 10 9 9 9 9 8 7 4 2 4 7 8 8 8 7 7 7 7 7 nan
nan 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 6 7 8 8 8 8 8 8 8 9 9 8 8 8 9 8 7 7 8 9 9 9 9 10 10 11 11 11 10 8 5 3 4 6 7 7 7 6 5 5 5 6 8 9 9 8 6 5 6 8 10 10 10 9 8 8 7 7 8 8 8 8 8 8 7 7 7 7 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 7 7 8 9 9 9 8 7 6 5 4 3 1 -2 -2 3 5 7 7 7 7 7 7 6 6 nan
nan 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 7 7 7 7 8 8 8 9 9 9 9 9 9 8 7 8 9 10 9 8 7 7 8 8 9 10 11 12 12 12 11 9 6 4 6 7 8 8 7 7 7 6 6 7 7 8 8 7 6 6 7 9 10 9 9 9 8 8 7 8 8 8 8 8 7 7 7 6 7 7 8 8 9 8 7 7 7 8 7 7 8 9 8 8 8 8 7 7 7 8 8 8 7 7 8 9 9 9 7 4 2 -0 -2 -3 -5 -7 -3 2 5 6 6 6 6 6 6 6 6 nan
nan 8 8 8 8 8 8 8 8 8 9 9 9 8 8 7 7 7 7 7 8 8 8 8 9 10 10 10 9 8 7 7 8 9 9 9 8 7 7 7 8 8 9 10 11 12 12 11 10 8 8 8 8 8 7 6 7 8 8 7 7 7 7 8 8 8 7 8 8 8 8 8 8 8 8 8 9 9 9 8 7 7 7 7 6 7 7 8 8 8 7 6 6 7 7 7 8 8 8 8 8 7 7 7 8 8 8 8 7 7 7 8 9 9 8 6 4 2 1 -1 -2 -5 -4 0 4 5 6 6 6 6 6 6 6 5 nan
nan 8 8 8 8 9 9 8 8 8 8 9 9 9 8 7 6 6 7 8 9 8 7 7 8 9 9 9 8 8 7 8 8 8 7 8 7 7 7 8 8 8 9 9 10 10 11 10 10 9 10 10 9 8 7 7 8 9 9 8 7 7 7 7 8 8 8 7 7 6 7 8 8 8 8 8 9 9 9 8 7 7 7 7 8 8 9 9 9 7 7 6 7 7 7 8 8 8 8 7 7 7 7 8 8 9 8 8 7 7 8 9 9 9 9 8 9 9 9 8 5 1 2 3 4 5 5 5 5 5 5 5 5 5 nan
nan 9 8 8 8 9 9 8 8 8 8 8 9 10 9 7 6 6 7 8 9 8 6 6 6 7 8 8 8 9 9 10 9 8 7 8 7 6 7 7 8 9 9 8 9 9 9 9 9 9 10 11 10 9 9 9 9 10 10 9 8 8 8 7 7 7 7 7 6 5 5 6 7 7 7 8 9 9 8 8 7 7 8 9 9 10 10 10 8 7 7 7 7 7 7 8 8 7 7 7 7 7 7 8 9 9 8 8 8 8 9 9 10 10 10 11 12 13 14 12 7 3 1 1 3 4 5 5 5 5 5 5 5 5 nan
nan 8 8 8 8 8 9 8 8 8 8 8 9 9 9 7 6 6 7 8 8 8 7 7 6 7 7 8 9 10 11 10 10 9 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 9 9 10 10 10 10 11 11 11 11 10 10 10 9 8 7 7 7 7 6 5 5 6 7 7 8 8 8 8 8 7 7 8 9 10 10 9 9 8 8 7 8 8 8 8 7 7 7 7 7 7 7 7 8 8 9 9 8 8 9 9 9 8 9 9 10 10 11 12 12 8 2 -2 -3 -0 2 4 4 4 4 4 4 4 4 5 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
13 13 10 7 8 8 9 2 0 0 0 2 5 10 12 11 11 11 13 15 17 18 19 19 17 17 17 17 16 15 14 11 13 15 15 15 16 19 20 20 22 23 23 24 27 29 30 30 29 30 30 30 29 33 38 35 30 23 19 17 17 18 17 10 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 13 17 16 13 10 7 7 7 8 11 14 17 18 19 27 29 29 29 28 25 20 16 15 14 12 10 9 8 8 8 9 10 11 11 10 10 17 14 14 19 21 16 19 65 186 371 532 503
19 20 20 19 17 15 13 5 1 1 3 8 12 15 15 13 13 12 12 13 14 16 17 17 17 18 23 26 23 23 20 16 14 14 14 15 17 19 20 20 20 21 22 23 24 25 26 26 26 26 26 29 31 35 37 34 31 28 24 23 25 29 24 14 9 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 9 14 16 15 11 7 4 4 7 10 10 13 14 16 19 22 23 24 26 25 22 17 16 16 14 12 11 9 9 9 10 10 11 13 13 12 14 11 10 15 19 12 6 24 92 221 424 500
29 29 29 29 24 18 15 10 8 10 16 21 23 23 17 16 17 16 16 16 17 17 17 18 19 20 24 30 25 25 20 16 16 16 15 15 17 18 18 18 22 23 23 22 21 22 22 21 20 19 19 22 23 26 28 28 28 28 28 29 33 34 25 17 12 9 7 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 13 14 14 12 8 5 5 5 5 7 9 10 12 15 18 20 22 23 23 22 19 19 18 18 15 12 11 11 11 11 10 11 13 13 13 14 13 12 15 19 14 7 7 23 80 198 273
42 37 34 33 31 27 24 23 25 26 27 26 22 24 18 18 20 20 19 20 21 24 29 31 30 25 21 27 22 19 15 15 19 24 22 15 16 17 20 26 29 29 27 22 20 20 20 19 17 16 17 20 22 22 22 23 23 24 27 29 34 35 26 15 12 10 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 9 11 12 12 12 11 9 8 8 8 9 10 12 15 17 18 20 21 22 22 20 19 20 20 17 14 13 13 13 13 12 12 12 13 14 16 17 17 18 20 18 11 9 15 50 108 148
55 58 54 49 48 48 41 33 30 26 23 21 20 23 21 21 25 25 24 29 36 45 52 49 41 29 23 26 22 15 14 17 22 29 30 17 17 20 25 29 31 31 32 28 23 20 19 17 14 13 17 20 21 20 18 18 19 19 22 24 25 24 22 15 11 8 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 8 10 12 12 12 12 12 11 11 11 13 15 17 18 19 21 22 21 20 18 18 18 18 18 17 16 14 15 15 14 13 13 14 14 16 20 21 20 19 20 17 13 19 42 79 115
71 81 81 77 75 69 50 28 14 11 11 11 16 20 24 27 25 29 34 48 61 66 68 60 48 33 30 30 25 20 21 24 26 28 29 21 22 29 29 27 31 37 43 41 31 23 19 14 12 14 16 17 17 17 17 17 17 17 19 20 18 18 15 13 10 8 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 8 10 11 11 10 11 12 14 14 15 17 17 18 19 19 19 18 16 15 16 17 18 19 19 19 17 18 16 15 15 14 14 15 15 17 20 21 23 22 20 17 20 31 53 87
99 104 104 104 99 82 54 25 7 2 2 3 6 9 16 19 18 26 33 43 59 73 79 74 59 46 40 36 32 27 21 22 27 27 29 34 39 30 28 34 40 49 56 49 34 30 29 19 14 13 14 15 16 16 16 15 15 17 26 27 18 14 12 11 10 8 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 7 9 10 11 9 10 10 12 14 15 16 17 16 18 17 17 16 14 14 15 17 19 19 18 19 19 19 18 19 19 18 17 17 17 15 16 17 19 22 23 22 23 28 38 67
139 138 134 127 111 84 53 27 12 4 0 1 3 3 7 9 12 16 24 37 54 69 85 89 76 58 52 46 39 31 25 26 29 30 26 29 37 27 36 46 48 56 62 54 49 54 50 30 20 16 17 15 14 13 12 12 16 24 40 50 32 16 11 10 9 8 6 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 5 7 9 10 10 11 12 13 14 14 14 14 13 16 17 16 14 14 15 14 15 18 19 19 19 20 22 23 23 23 22 21 21 20 18 17 17 18 20 23 25 26 28 33 50
171 163 152 131 104 73 45 26 16 8 2 0 2 2 3 7 11 13 21 40 62 79 97 104 103 83 73 62 48 37 32 34 37 37 31 35 28 34 43 45 50 59 66 67 73 80 63 57 46 35 26 18 13 11 10 12 25 46 59 68 48 22 9 7 5 4 4 4 3 3 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 6 8 8 9 11 12 14 15 16 16 15 15 16 16 14 13 15 16 15 15 16 16 17 17 20 21 23 24 25 25 24 25 24 23 22 21 20 20 21 24 26 29 32 37
183 161 134 108 82 55 34 21 15 10 6 2 1 1 3 13 21 24 27 42 70 104 122 117 106 86 72 62 53 43 37 37 40 44 45 50 50 50 50 50 53 58 65 72 66 80 64 54 41 31 25 21 16 10 8 9 26 53 67 73 65 35 6 1 2 2 3 2 2 1 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 2 4 4 4 6 7 7 8 11 13 15 16 20 21 20 20 21 20 17 15 15 15 14 14 14 17 18 17 17 18 20 24 27 26 26 27 27 27 27 26 25 24 24 25 26 29 32 35
170 142 110 83 60 39 24 15 11 8 7 4 0 2 9 20 35 50 55 58 95 155 155 124 91 67 55 53 50 41 34 33 39 51 58 64 67 71 68 58 50 48 55 61 48 59 51 41 36 40 38 28 23 14 10 8 17 42 67 78 78 49 7 1 2 1 1 1 1 0 1 1 1 1 1 1 0 0 0 0 0 0 0 1 4 10 11 8 13 12 11 11 15 15 12 15 19 22 22 25 27 28 28 28 27 24 20 18 16 17 15 16 18 19 18 17 16 17 23 28 29 28 28 29 30 30 31 31 31 30 29 29 30 35 40
129 105 80 59 42 27 14 7 4 3 3 2 2 9 16 26 42 61 72 79 117 150 142 108 78 68 67 68 66 56 44 39 46 55 63 71 75 88 86 70 59 48 48 47 43 45 43 37 41 41 36 38 33 33 32 26 23 47 70 80 81 60 19 1 1 0 0 0 0 0 0 0 1 1 2 1 0 0 0 0 0 0 0 1 8 19 20 21 24 27 29 30 34 40 39 32 38 40 40 37 40 47 52 54 47 40 32 30 23 21 18 18 18 18 16 17 17 17 20 24 27 27 28 30 31 33 34 36 34 34 33 32 32 34 38
84 71 54 40 31 20 8 3 3 0 0 0 1 7 16 31 53 81 104 120 147 160 129 106 94 95 96 92 85 77 58 52 61 62 64 70 71 84 98 93 76 62 57 49 47 48 57 61 73 88 86 64 55 61 61 58 55 70 79 79 79 66 32 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 16 26 28 31 35 39 45 47 47 55 60 62 65 65 65 61 65 73 81 85 81 74 62 53 41 34 30 24 18 15 12 15 16 18 18 20 22 24 26 28 29 30 32 35 37 37 36 35 34 34 33
55 51 45 38 32 22 9 2 3 0 0 0 3 6 22 55 97 125 130 140 160 149 117 121 121 113 104 89 77 76 71 80 98 80 77 86 93 91 91 97 93 84 74 78 90 98 103 96 83 73 69 63 54 54 64 79 87 91 88 80 75 63 8 0 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 12 27 46 55 55 53 53 58 62 66 76 83 80 82 81 82 82 87 98 110 113 110 105 97 87 73 63 53 38 30 23 17 16 15 14 15 18 22 25 27 28 27 28 29 30 34 37 40 42 37 35 34
56 60 61 61 55 36 14 7 13 9 4 6 15 27 47 79 111 129 140 144 147 120 112 114 109 100 87 70 63 71 77 88 120 109 104 101 100 103 104 108 124 114 111 115 117 115 117 117 112 105 94 78 70 64 79 93 94 86 78 72 64 73 14 2 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 12 21 46 77 94 95 87 81 83 89 94 103 107 103 102 101 101 103 109 119 136 147 142 135 134 134 124 109 97 80 56 42 36 29 23 17 12 14 20 24 26 28 28 27 26 27 31 38 51 69 61 49 42
85 105 133 138 119 90 44 33 40 37 22 17 37 75 112 135 152 173 177 148 119 103 107 109 95 81 76 64 65 69 82 82 103 116 116 108 109 124 137 131 167 156 172 159 141 140 146 151 160 152 135 119 105 104 106 97 81 67 58 54 46 37 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 19 35 64 102 126 135 134 126 120 119 122 129 133 134 133 130 128 129 131 140 155 170 184 191 195 204 202 178 150 124 97 78 66 49 41 37 26 16 17 21 25 26 27 26 26 28 31 43 80 110 97 80 67
109 129 163 154 138 143 101 82 76 69 51 39 66 128 171 172 173 161 161 149 137 132 134 135 111 85 90 80 83 77 86 94 119 140 148 151 164 191 200 161 211 226 246 230 194 181 197 211 219 210 205 176 148 127 106 84 62 47 35 25 23 10 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 14 28 52 80 115 147 169 180 173 158 147 148 153 158 162 165 164 158 164 159 166 178 201 234 254 262 273 283 269 231 190 146 123 106 83 69 66 53 30 15 17 26 29 27 24 23 24 28 40 98 110 105 96 88
89 73 65 55 79 123 127 124 112 110 90 69 93 135 148 150 175 176 171 167 157 142 139 148 136 109 117 109 105 100 118 151 187 203 208 204 198 254 276 260 291 319 329 314 291 280 279 266 251 232 214 190 161 126 93 65 45 28 13 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 21 38 60 92 126 158 188 213 211 194 177 169 170 177 185 191 195 189 197 196 209 225 245 276 301 313 330 363 370 330 298 221 173 150 127 104 90 75 59 39 37 43 47 38 21 19 18 24 30 48 64 84 100 106
61 63 62 55 60 81 105 114 120 164 155 124 131 163 176 174 184 196 187 185 177 179 172 170 182 182 182 174 169 181 225 273 309 311 292 285 288 332 354 365 374 375 366 358 350 331 308 271 239 213 184 156 127 95 63 40 30 13 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 24 44 63 87 121 162 198 227 225 214 201 194 196 206 217 219 225 222 223 233 259 285 306 327 344 362 390 419 435 431 399 329 261 216 182 145 119 95 78 69 65 69 73 55 24 19 20 22 25 30 38 56 76 93
39 46 54 61 61 67 92 106 109 203 230 209 195 194 193 195 203 235 221 234 231 243 241 235 255 269 282 301 319 361 398 396 377 363 356 364 396 432 424 400 370 347 329 317 302 275 246 212 179 156 126 101 75 51 34 23 16 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 12 28 48 70 90 115 159 192 213 220 217 213 216 224 233 250 258 259 254 251 247 273 316 354 384 403 435 474 479 497 521 517 463 385 325 267 212 173 139 110 90 79 81 91 73 38 23 20 21 22 26 34 49 70 87
20 26 38 54 58 56 77 68 118 210 245 274 319 311 239 225 216 285 287 315 335 358 369 358 351 367 399 373 426 491 527 516 485 449 408 408 423 411 374 325 293 270 249 225 197 169 142 115 93 72 52 38 29 21 16 14 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 9 17 31 51 76 96 117 155 181 200 207 209 214 225 238 248 262 273 281 288 293 289 301 335 374 416 451 510 557 567 582 610 631 610 535 479 391 317 261 219 179 139 108 101 112 101 63 42 23 20 22 26 40 69 90 96
22 24 15 25 43 44 53 32 48 73 98 153 263 371 339 333 383 438 425 406 416 432 425 395 384 391 447 328 341 401 437 430 404 391 392 420 342 273 260 226 187 158 137 117 95 72 57 40 28 19 14 11 8 6 5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 15 25 37 54 82 103 129 158 178 192 198 205 219 237 253 266 282 297 312 327 341 348 353 366 396 458 473 535 590 641 695 733 742 731 673 631 545 454 374 323 274 208 167 145 138 134 97 70 50 38 34 36 46 66 80 87
36 39 16 25 42 44 40 26 13 8 14 30 103 269 371 336 265 209 207 234 248 239 216 190 206 220 312 233 192 212 260 300 332 366 364 409 262 214 203 161 110 72 44 30 27 18 11 5 1 1 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 14 21 31 43 56 77 101 137 163 175 185 196 211 235 262 284 295 310 328 347 363 378 396 414 426 434 507 542 568 606 664 740 813 807 776 762 722 675 607 518 449 412 344 277 219 185 177 149 124 108 88 68 64 62 62 68 74
32 39 27 31 36 34 26 18 10 4 2 3 13 41 39 36 34 28 13 13 23 33 38 29 26 49 118 127 126 138 156 174 211 301 347 382 324 258 177 108 66 36 8 1 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 1 1 0 0 0 0 0 0 0 2 6 11 18 26 35 47 58 75 109 142 161 166 175 193 219 249 277 312 320 330 347 366 381 396 418 439 470 503 569 628 651 669 716 775 844 823 778 753 711 697 688 648 603 568 516 440 338 273 239 211 186 163 133 115 100 85 74 69 67
16 23 25 21 15 12 11 7 3 1 0 0 1 3 2 2 2 2 1 1 1 1 2 7 6 10 27 42 57 68 67 62 91 183 281 305 249 149 82 53 34 15 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 1 1 1 1 1 1 0 0 0 0 0 2 4 8 13 19 28 38 48 57 69 84 116 141 153 166 184 209 240 268 307 325 333 344 364 391 409 430 481 527 565 622 700 759 774 785 835 925 906 809 735 657 623 649 669 677 698 664 598 499 403 323 263 232 221 177 157 131 101 81 74 72
4 6 6 4 1 1 3 2 1 1 1 1 1 1 1 2 2 1 1 1 1 1 2 2 2 2 5 7 11 22 37 64 151 262 250 168 106 65 36 19 9 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 3 3 2 2 2 2 1 0 0 0 0 0 0 1 5 10 15 22 30 36 42 47 57 66 88 116 137 151 166 185 217 241 263 280 292 303 327 366 390 418 478 546 601 655 753 872 902 889 1009 1149 1045 860 735 637 569 576 614 611 681 693 678 629 553 459 370 296 275 248 216 174 127 91 77 83
0 0 0 0 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 2 13 47 98 158 185 161 63 19 11 6 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 2 2 1 1 1 1 1 0 0 0 0 2 6 13 19 25 28 27 29 35 44 54 67 90 120 141 151 167 188 195 186 188 203 218 242 276 316 366 442 517 576 640 754 917 986 1036 1072 1013 952 938 846 695 568 529 548 543 571 607 631 647 657 612 540 446 386 336 292 239 178 133 109 101
0 0 0 0 0 1 1 1 1 1 1 1 2 2 1 2 2 2 2 2 2 1 1 1 1 1 1 7 31 66 79 70 54 17 3 1 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 1 0 0 1 0 0 0 0 1 1 3 6 10 15 19 20 19 18 19 24 31 41 52 70 112 144 151 154 157 153 141 131 130 138 155 184 216 266 349 430 480 539 658 822 905 1100 1169 1225 1304 1287 1113 819 666 619 588 551 551 576 584 596 651 658 627 591 555 479 403 334 259 203 174 131
0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 2 1 1 0 0 4 13 18 13 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 1 1 1 0 1 1 0 0 1 4 10 14 11 7 8 11 14 16 20 29 38 53 96 132 144 146 140 132 121 101 85 93 101 122 145 179 231 287 338 407 504 614 717 924 1083 1259 1495 1595 1366 1031 976 959 917 822 707 641 604 579 608 631 618 624 640 613 554 485 403 315 256 195
0 0 0 0 0 0 0 0 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 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 1 1 1 0 0 0 1 1 0 0 0 0 0 2 5 7 8 3 1 2 3 5 8 13 16 24 35 64 97 115 122 124 121 119 118 115 104 100 106 117 134 159 189 226 309 390 429 499 638 800 995 1309 1649 1571 1460 1432 1433 1404 1303 1129 934 776 670 647 647 616 585 588 617 623 619 584 492 402 319
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