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 6 6 6 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 5 5 5 5 5 6 8 15 22 22 14 9 8 7 7 6 6 7 7 7 7 8 8 7 7 7 6 1 -4 -3 1 5 5 5 5 4 3 3 3 4 5 5 6 7 7 8 8 7 5 3 2 1 2 4 4 5 5 5 6 6 6 5 3 2 2 3 6 11 17 22 24 24 22 19 16 13 11 9 8 6 6 nan
nan 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 7 6 6 6 6 6 6 5 5 7 10 16 20 16 10 8 7 7 6 6 6 7 8 8 8 8 8 7 7 8 5 0 -3 -2 2 5 5 5 4 4 3 3 3 4 4 5 6 7 7 8 8 8 7 4 2 1 2 3 4 5 5 4 5 6 6 6 5 4 2 2 3 6 11 16 21 24 24 22 19 16 14 12 10 8 7 nan
nan 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 9 14 17 16 13 11 10 8 6 6 6 7 8 8 8 8 8 7 7 7 7 3 -2 -5 -2 3 5 5 5 4 4 3 3 3 3 4 5 6 6 7 7 8 8 7 6 3 2 1 2 4 5 5 4 4 5 5 6 6 5 4 3 2 3 6 10 16 21 23 23 22 19 17 15 13 11 9 nan
nan 6 6 6 6 5 5 5 5 5 5 5 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 7 7 8 8 8 8 8 8 7 7 6 6 7 12 17 17 13 12 13 12 8 6 6 7 8 9 9 9 9 8 7 7 7 5 0 -5 -7 -1 5 6 5 4 4 3 3 3 3 3 3 4 5 6 7 7 8 8 8 7 4 2 1 1 3 4 5 5 4 4 4 5 6 6 6 4 3 2 3 6 11 16 21 23 24 22 20 18 16 13 11 nan
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nan 8 8 8 8 7 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 7 7 8 8 8 8 8 7 8 8 9 8 7 6 4 3 3 5 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 9 10 10 10 12 14 16 16 15 14 11 9 7 7 7 7 6 5 5 5 6 8 10 13 17 18 16 13 11 11 12 12 11 11 10 10 10 10 10 11 11 10 10 10 10 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 9 nan
nan 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 7 6 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 7 6 5 4 5 7 8 8 8 8 7 7 7 7 7 8 8 9 8 8 7 7 7 8 8 8 8 8 9 11 11 11 11 13 14 15 15 14 13 11 10 10 10 10 10 9 7 7 7 6 6 6 11 16 18 19 19 20 20 20 18 16 13 11 11 11 11 11 11 10 10 10 10 10 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 nan
nan 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 6 6 5 5 5 5 5 6 7 7 8 8 7 7 8 8 8 8 8 7 7 6 6 6 7 9 10 9 9 8 7 7 7 8 8 8 8 8 8 7 7 7 8 8 8 8 7 9 11 12 12 12 13 14 14 12 11 11 11 11 10 11 12 12 11 11 10 10 10 8 5 5 7 11 14 18 23 27 29 28 24 20 15 12 11 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 nan
nan 8 8 8 8 7 7 7 7 8 8 8 8 8 8 7 7 8 8 7 6 6 5 4 4 4 4 5 6 6 7 7 7 7 7 8 9 9 8 8 7 7 7 7 8 10 11 11 11 9 8 6 7 8 8 9 9 8 8 7 7 7 7 8 8 8 8 8 9 11 12 13 14 15 16 15 13 13 12 11 11 12 13 13 13 12 12 11 11 11 9 8 7 7 8 11 15 19 23 25 24 22 18 14 12 11 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 10 10 10 9 9 nan
nan 8 8 8 8 8 8 7 7 8 8 8 7 7 7 7 7 7 7 7 6 5 4 4 4 5 5 5 5 5 6 6 6 7 8 10 10 9 9 8 8 8 8 8 10 11 12 12 11 10 8 7 8 8 9 9 8 7 6 6 6 7 7 7 7 8 8 8 9 10 11 13 14 16 16 16 16 16 15 13 13 14 15 14 13 13 13 13 12 11 10 10 9 9 9 10 11 13 14 14 14 14 14 14 14 13 11 10 10 10 9 9 9 9 9 9 9 8 8 8 9 8 9 9 9 9 10 10 10 10 10 10 10 9 nan
nan 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 7 7 7 6 4 4 5 7 7 6 6 6 7 7 7 8 9 11 11 11 9 9 8 8 8 9 9 10 10 11 11 11 10 10 10 11 10 9 8 6 5 5 5 6 6 6 6 7 8 8 8 9 9 11 12 12 13 14 14 14 14 14 14 15 15 15 14 13 13 14 14 13 11 10 10 10 10 10 10 10 10 9 9 8 9 12 16 19 18 15 12 10 10 10 9 9 9 9 9 9 9 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 9 nan
nan 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 7 7 6 5 4 6 8 9 8 7 7 8 9 9 9 9 9 10 11 10 9 9 8 8 8 9 9 9 9 9 10 10 11 12 12 11 10 9 7 6 6 6 6 6 5 6 7 8 8 8 9 10 10 11 11 10 10 10 10 10 10 11 13 14 14 14 14 14 13 13 13 11 9 9 9 10 11 10 9 9 9 8 8 7 8 12 17 20 20 18 16 13 11 10 9 9 9 9 9 9 9 8 9 9 9 9 9 10 10 11 11 11 10 10 10 9 9 nan
nan 8 8 9 8 8 8 8 8 7 7 7 8 8 7 7 8 8 7 6 4 6 8 9 9 8 7 7 8 9 9 8 8 9 10 10 9 9 8 8 8 8 9 8 8 8 8 8 9 10 11 10 10 9 8 8 8 9 9 8 7 7 7 8 8 8 8 9 10 10 10 9 8 7 7 7 8 8 9 10 11 13 14 14 14 13 11 8 6 5 6 7 8 9 9 8 8 8 8 7 7 9 11 13 15 17 19 20 17 14 12 10 9 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 8 nan
nan 8 8 8 8 7 8 8 8 7 7 8 8 8 8 8 8 8 7 5 5 7 9 9 8 7 5 6 8 9 8 8 9 10 10 10 9 8 8 8 9 9 9 8 8 8 8 8 9 9 9 8 8 7 8 9 10 11 11 10 9 9 8 7 6 6 7 9 9 9 8 7 6 5 5 6 7 7 7 7 8 11 13 14 14 12 9 6 4 5 6 7 7 8 8 8 8 8 7 7 8 9 9 9 10 13 17 19 20 18 16 13 12 12 12 11 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 nan
nan 7 7 7 7 7 8 8 8 7 7 8 8 8 8 8 7 7 6 6 7 9 9 9 7 5 4 6 8 9 9 9 10 11 11 10 8 8 8 8 9 9 8 7 7 7 8 8 9 9 8 7 7 7 8 9 10 11 11 11 10 10 8 7 6 7 8 8 8 7 6 6 5 5 5 6 7 7 6 5 6 8 11 12 11 10 8 7 7 8 9 9 9 9 9 9 9 8 6 6 7 8 8 7 8 9 11 14 17 18 19 19 20 20 20 18 14 10 8 9 8 8 8 8 7 7 8 8 9 9 10 10 10 10 nan
nan 7 7 7 7 7 8 8 8 7 7 8 8 8 8 7 7 7 7 7 8 9 9 9 7 5 6 8 9 9 9 9 10 10 10 9 9 8 8 9 9 8 7 7 7 7 8 9 9 9 9 8 8 9 10 10 10 10 10 10 10 10 9 9 10 10 10 8 6 5 5 5 5 5 7 9 9 7 6 5 7 9 10 11 10 9 9 10 11 12 12 10 10 9 9 9 8 6 6 6 7 7 7 6 7 7 8 10 13 16 19 21 23 23 23 20 15 10 8 8 8 7 7 7 6 7 7 7 8 9 10 10 11 11 nan
nan 7 7 7 7 8 8 8 8 7 7 7 8 8 7 7 8 8 8 8 8 9 10 8 6 6 7 8 9 8 8 8 8 9 9 9 9 8 9 9 9 7 7 7 8 8 8 9 10 10 10 10 10 11 11 11 11 10 9 9 10 10 11 12 12 11 9 7 6 5 5 6 6 7 9 11 9 7 6 7 9 11 11 10 10 10 11 13 14 15 13 11 10 9 8 7 7 7 8 9 9 8 7 7 7 8 8 9 10 12 14 16 17 17 14 10 6 6 7 7 7 7 7 7 6 7 7 8 8 9 10 11 12 12 nan
nan 7 7 7 7 8 8 8 8 8 8 7 7 8 7 8 8 8 8 8 9 10 9 7 6 5 6 8 8 7 7 7 7 8 8 9 8 8 9 10 9 8 8 8 8 8 9 9 9 10 11 11 10 10 11 11 10 9 9 9 10 11 11 12 11 9 6 5 5 5 6 7 8 9 10 9 7 5 6 8 10 11 11 10 11 11 12 13 14 13 12 11 10 9 8 7 7 8 10 11 10 10 8 8 8 9 9 9 9 10 10 11 10 8 4 -1 -2 3 5 7 7 7 7 7 7 7 8 8 9 10 11 12 12 12 nan
nan 7 7 7 7 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 10 10 8 6 4 5 7 7 6 6 6 6 7 7 8 8 9 10 10 10 9 9 9 8 8 8 8 8 9 9 10 9 9 9 10 10 10 10 10 10 11 10 10 9 7 5 4 4 5 5 6 7 8 8 8 7 5 6 8 9 10 11 11 12 12 12 12 12 11 10 10 10 10 9 8 8 8 10 10 10 10 10 9 10 10 10 9 9 9 9 9 9 8 5 0 -2 -0 4 7 8 8 8 8 8 8 9 9 9 10 11 12 12 13 12 nan
nan 7 7 7 7 7 7 8 8 8 7 7 7 7 7 8 8 8 8 9 10 9 7 5 5 7 9 8 6 6 6 6 6 6 8 8 9 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 9 9 10 10 10 10 11 10 9 8 6 5 4 4 6 6 6 5 5 5 6 7 6 7 8 9 9 9 10 12 13 13 12 11 10 10 10 10 9 9 8 8 9 10 10 9 9 9 9 10 11 11 11 10 10 10 9 10 9 7 4 0 1 6 10 13 12 10 9 9 9 9 10 10 10 10 11 11 12 12 12 nan
nan 7 7 7 7 7 7 8 8 8 7 7 7 7 8 8 7 8 9 9 10 9 7 5 7 10 10 8 7 6 6 5 5 7 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 8 8 9 9 9 9 9 10 10 9 8 6 5 4 6 8 9 9 8 6 5 5 7 8 8 9 9 8 8 9 12 14 14 12 11 11 10 9 9 9 8 8 7 8 9 10 9 8 8 7 7 8 9 9 10 10 10 9 9 9 9 7 5 6 11 17 21 20 18 14 12 11 10 10 10 10 10 10 10 11 11 10 10 nan
nan 8 7 7 7 7 8 8 8 8 8 8 8 7 7 8 7 8 9 9 10 9 7 6 9 10 10 8 7 7 6 6 7 8 9 9 9 8 7 8 9 9 9 9 10 10 9 8 8 8 8 8 8 7 7 7 7 8 9 9 8 6 5 5 6 8 10 10 9 9 9 9 9 10 10 10 8 7 6 8 11 14 14 13 11 10 10 8 8 8 9 9 9 10 11 11 10 9 7 7 6 6 6 6 7 8 8 8 8 8 8 9 9 11 15 21 26 26 24 21 19 17 13 11 9 9 10 9 9 9 9 9 9 9 nan
nan 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 7 6 6 9 10 9 9 8 8 7 8 9 9 9 9 9 8 8 8 9 9 10 11 12 11 10 9 9 8 7 6 6 6 6 6 6 6 7 7 7 6 6 6 7 8 9 8 9 9 10 11 12 11 11 9 7 7 7 10 12 13 11 9 9 9 8 7 8 9 10 11 12 12 12 12 10 9 8 7 6 6 6 6 6 6 6 5 6 6 7 8 10 13 17 20 20 19 18 19 20 18 15 11 9 9 9 8 8 8 8 8 8 8 nan
nan 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 8 6 5 7 9 9 10 10 10 10 10 10 10 8 7 8 8 9 10 10 10 10 11 13 13 12 11 9 8 7 6 6 6 6 6 6 5 6 6 6 6 6 7 7 7 7 7 7 8 10 10 11 11 10 10 8 8 8 9 11 10 8 6 6 7 7 7 7 9 10 11 12 12 12 12 12 12 11 10 9 9 8 8 8 7 6 5 5 6 7 8 8 8 9 11 12 12 11 11 13 15 15 14 10 9 9 8 7 7 7 7 7 8 8 nan
nan 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 9 8 8 7 6 7 8 9 10 10 10 11 11 10 10 9 8 7 7 8 10 11 10 9 10 11 13 13 12 11 10 9 8 8 8 8 8 7 6 6 6 6 6 6 7 7 7 7 7 7 7 8 9 10 10 11 10 9 8 8 8 10 10 9 6 5 6 7 6 6 7 9 10 10 10 10 10 11 12 13 12 11 10 10 10 10 10 9 8 7 8 8 10 10 9 8 8 9 9 8 6 4 4 5 7 7 7 8 8 7 7 7 7 7 8 8 9 nan
nan 8 8 8 8 8 8 8 8 8 7 7 7 8 8 9 9 8 8 7 7 7 9 10 10 10 10 10 10 9 9 9 9 10 10 10 11 11 10 8 8 9 10 11 11 11 11 12 12 11 10 9 9 8 7 6 6 6 6 6 6 6 6 7 7 7 7 8 8 9 9 10 11 12 11 10 9 9 10 10 9 8 9 10 9 8 8 8 8 9 9 9 9 10 11 12 13 12 11 11 11 11 11 11 11 10 10 10 11 11 10 9 9 9 9 8 5 0 -4 -6 -5 -4 -2 2 5 7 7 7 7 8 9 9 10 10 nan
nan 8 8 9 9 8 8 8 8 8 7 7 7 8 8 9 9 8 8 7 8 9 10 10 9 9 9 9 9 7 6 7 10 12 13 14 13 12 10 8 8 9 9 10 10 11 12 13 13 12 10 8 7 7 6 5 5 5 5 4 4 4 5 7 8 8 8 7 7 8 9 11 12 12 13 12 11 11 11 11 11 11 12 12 12 11 11 11 10 10 10 10 10 10 11 12 11 11 11 11 12 12 12 12 11 10 10 11 12 11 10 9 9 10 10 7 3 -1 -4 -6 -5 -5 -2 3 6 8 8 8 8 9 10 10 10 11 nan
nan 8 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 9 9 9 8 8 7 7 7 6 6 8 10 12 14 14 13 11 10 9 10 10 9 9 10 10 11 12 12 11 11 10 9 8 7 7 6 6 5 4 3 3 5 7 8 8 8 7 7 8 9 11 12 12 12 12 11 11 11 11 11 11 12 13 13 13 12 11 12 12 12 10 9 9 10 10 9 10 10 11 12 12 12 12 11 10 10 11 12 10 8 8 8 9 9 8 7 7 6 7 6 5 6 8 9 9 9 9 9 9 10 10 11 11 nan
nan 8 9 9 9 9 9 8 8 8 8 8 8 7 8 8 9 9 9 9 8 8 8 7 7 6 6 7 6 7 8 10 12 13 14 13 12 10 9 10 10 10 9 9 9 9 9 9 10 11 12 12 12 12 12 12 11 10 9 8 6 5 5 6 7 7 7 7 7 8 9 10 11 10 10 9 10 10 11 11 10 11 11 12 12 12 11 11 13 13 12 9 8 9 9 9 9 10 11 11 11 12 12 11 11 11 11 11 10 9 8 8 9 9 9 10 11 13 15 17 15 12 10 9 9 9 9 8 9 9 9 10 10 11 nan
nan 8 9 9 9 9 9 8 8 8 8 8 8 7 8 9 9 10 9 8 8 7 7 6 5 6 7 8 8 9 10 11 12 12 12 12 11 10 9 8 9 9 9 8 8 8 7 8 9 10 10 11 12 13 14 14 14 14 14 13 12 10 9 8 7 7 7 7 7 7 8 9 9 8 8 8 8 9 9 9 9 9 9 10 10 10 9 10 12 12 10 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 9 10 10 11 10 10 10 11 13 15 16 13 10 9 9 9 9 8 8 8 8 8 9 9 10 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
5 6 6 6 5 5 7 9 10 13 15 17 20 22 24 26 28 31 31 31 30 30 30 29 30 30 31 34 37 38 41 45 46 47 46 46 46 45 44 43 41 40 39 38 34 30 27 24 19 15 11 7 3 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 2 7 7 6 5 6 8 10 10 10 11 16 19 23 29 35 41 43 43 40 38 38 40 40 37 43 80 127 202 310 459 643 808 915 922 881 918 984 1026 1013 1113 1316 1503 1799 2297 2797
3 3 3 3 3 3 4 5 7 9 13 16 20 22 23 24 26 30 31 32 32 32 32 31 31 31 31 33 37 37 39 42 45 47 47 47 47 47 46 45 43 43 43 42 39 36 32 29 25 22 17 12 8 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 3 8 8 6 5 4 5 8 8 9 10 14 17 20 26 35 42 46 46 45 41 40 39 40 38 36 50 79 121 183 280 451 635 801 872 901 931 977 1025 1028 1030 1112 1191 1320 1587 2339
2 2 2 2 2 2 3 4 5 7 10 14 18 21 23 24 24 26 29 31 33 34 34 34 34 34 32 33 35 36 37 39 42 45 47 49 49 51 49 48 47 46 46 45 43 39 36 33 31 27 24 17 12 6 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 1 5 8 7 6 4 3 2 2 5 7 8 11 15 19 25 34 41 46 49 49 46 42 40 39 39 38 42 53 72 105 153 267 417 587 751 857 917 965 1015 1052 1056 1039 1074 1149 1148 1550
2 2 2 2 2 2 3 4 6 8 10 12 15 19 22 23 25 26 28 29 31 33 34 34 35 36 35 34 34 34 36 38 40 42 44 47 50 53 53 52 51 50 50 49 46 43 40 37 33 29 26 23 16 10 5 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 2 6 7 6 4 2 1 1 2 2 3 5 8 13 17 22 31 39 45 50 52 49 46 42 39 39 39 39 40 46 65 86 143 239 379 572 741 847 926 985 1037 1068 1025 1060 1106 1129 1292
0 0 0 1 1 1 2 4 6 8 11 12 13 15 18 21 23 24 25 26 26 27 30 31 31 33 36 36 35 33 34 36 37 40 42 44 48 52 55 55 54 54 54 53 50 45 41 38 35 31 28 25 21 16 12 8 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 3 6 7 5 3 1 0 0 1 1 1 3 5 9 13 18 27 37 43 48 52 52 50 47 43 39 38 38 37 38 48 64 89 133 223 376 556 712 837 917 1003 1053 1076 1082 1091 1133 1234
0 0 0 0 0 0 0 2 4 7 9 11 11 12 13 15 17 19 22 24 24 25 25 27 28 30 32 35 36 35 33 32 34 37 42 44 46 49 52 54 55 55 56 54 51 47 43 40 37 34 30 28 25 23 21 16 9 4 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 2 5 5 3 1 1 0 0 0 1 1 2 4 6 9 12 19 31 39 46 51 54 53 51 46 39 36 36 37 37 39 43 59 90 139 225 360 537 732 850 951 1023 1067 1080 1078 1078 1086
0 0 0 0 0 0 0 1 3 5 8 11 12 10 11 12 12 13 15 16 16 19 21 22 24 25 27 30 32 33 32 31 31 34 37 40 42 46 47 49 52 53 53 52 50 47 44 40 38 35 31 29 28 26 24 21 16 9 4 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 1 2 3 3 1 1 0 0 0 1 1 1 3 5 7 8 14 25 34 42 49 54 55 52 48 42 36 34 35 36 37 38 47 67 96 138 205 360 558 722 859 965 1034 1060 1055 1048 1029
0 0 0 0 0 0 0 0 1 3 5 9 11 11 11 10 10 11 11 11 11 13 15 17 19 21 23 25 27 28 29 28 29 32 34 36 37 40 42 44 46 47 47 47 46 43 41 39 37 33 30 28 27 26 24 22 19 13 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 1 2 3 3 1 1 1 1 1 1 1 2 3 3 5 7 11 18 28 38 47 52 54 53 50 45 39 34 33 35 38 39 42 50 65 88 125 231 384 555 726 875 974 1012 1014 1029 1058
0 0 0 0 0 0 0 0 1 1 3 5 8 10 11 12 11 11 11 11 10 10 11 12 14 16 19 22 24 25 24 23 25 28 30 32 32 33 35 38 39 40 40 40 39 39 36 35 32 31 28 24 23 24 24 24 21 18 10 5 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 1 2 3 3 1 1 1 1 2 3 3 4 4 4 4 6 8 12 21 32 42 48 52 54 51 47 42 37 34 34 37 40 42 40 45 58 85 142 244 391 568 745 872 928 939 966 1054
0 0 0 0 0 0 0 0 0 0 2 2 4 6 8 10 12 12 11 11 10 9 10 11 11 11 14 18 21 22 21 19 19 21 22 25 27 28 30 31 33 34 34 34 34 32 30 27 26 25 23 20 19 19 22 24 23 21 15 9 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 2 4 3 2 2 2 3 4 5 6 6 6 6 4 5 6 9 15 25 36 44 48 55 56 52 47 42 39 36 35 39 42 42 41 46 53 76 138 250 405 597 744 813 849 881 939
0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 6 7 9 12 11 12 11 11 10 10 9 11 14 18 20 20 16 15 15 16 17 20 22 25 26 28 29 29 29 28 26 24 21 18 15 13 13 14 15 17 20 21 19 18 12 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 1 2 3 3 2 2 3 6 8 10 12 10 8 7 5 4 7 8 12 19 29 39 42 51 56 55 51 47 44 37 34 39 42 42 42 42 40 45 76 151 282 451 586 699 783 838 883
0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 4 6 7 9 11 12 11 9 8 8 10 13 17 19 16 13 13 13 14 15 16 17 19 21 22 22 23 22 21 19 16 13 10 9 8 9 11 13 15 17 16 17 13 9 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 1 1 2 2 4 6 8 10 13 15 16 14 11 8 7 7 8 9 10 12 21 31 36 43 51 55 54 50 48 42 38 38 41 43 43 42 40 39 45 79 181 308 446 593 716 799 859
0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 3 4 4 5 8 11 8 7 7 7 9 13 16 16 14 12 11 10 11 12 12 12 13 13 14 15 15 15 13 11 9 7 6 6 6 7 8 11 13 13 13 12 10 8 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 1 2 3 6 9 11 16 20 20 19 17 14 12 11 11 10 10 10 9 14 22 30 36 41 48 53 50 49 45 40 38 41 43 43 43 42 41 37 41 108 205 333 482 627 740 814
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 4 4 7 7 6 5 6 7 9 11 14 15 13 10 8 8 9 9 8 8 7 7 7 7 7 7 6 5 4 3 3 4 4 4 6 8 9 9 9 9 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 1 2 4 6 8 11 14 18 23 24 22 20 18 16 15 14 12 12 11 10 11 14 21 28 31 38 45 48 50 47 43 41 40 41 42 44 45 45 40 36 62 127 228 358 507 650 758
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 4 4 4 4 4 5 6 6 8 11 13 11 8 7 6 6 5 4 5 4 3 2 2 2 2 2 2 2 2 2 3 3 3 4 5 5 6 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 1 2 3 5 7 11 14 17 19 22 24 23 22 21 19 18 18 16 14 13 11 10 10 12 18 24 30 35 41 47 49 47 45 43 42 43 45 46 46 43 37 43 76 143 236 373 534 678
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 3 3 3 4 4 5 6 8 8 7 5 4 4 3 2 2 1 1 0 0 0 0 0 0 0 1 2 2 2 3 3 3 3 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 1 3 5 6 7 6 9 14 16 19 22 23 23 23 24 22 21 20 19 17 15 12 11 9 8 11 16 23 26 31 38 45 50 51 49 47 44 46 47 47 45 40 36 43 87 149 262 401 557
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 3 3 3 3 3 4 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 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 1 3 6 8 10 11 11 13 17 19 22 23 24 26 25 23 22 21 20 19 17 13 11 10 9 9 11 18 21 24 30 38 46 54 55 52 46 46 47 49 47 41 38 33 53 96 181 272 404
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 1 1 1 1 1 2 2 1 1 1 0 1 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 1 3 7 7 12 15 15 14 16 18 22 25 26 29 26 23 22 22 21 20 18 15 13 11 10 8 7 12 17 21 25 31 39 45 49 50 48 46 47 49 48 42 39 36 38 54 114 193 298
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 8 11 15 17 18 17 18 23 25 27 28 28 23 22 23 23 22 19 17 16 12 10 9 8 9 12 17 25 28 34 39 43 46 47 47 48 50 47 43 43 40 38 37 69 135 218
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 12 14 17 19 20 21 21 23 25 26 29 30 26 22 23 25 25 23 19 17 16 13 11 10 9 8 12 21 24 29 34 40 45 49 53 53 52 48 45 48 46 43 41 51 87 149
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 14 17 20 23 25 24 23 24 27 27 29 30 26 22 24 26 28 27 23 20 18 16 14 12 10 8 9 13 17 23 28 35 42 48 55 57 55 52 49 52 54 52 49 48 53 98
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 15 20 22 25 27 27 26 24 27 28 28 27 24 23 25 28 29 29 26 24 23 22 18 14 12 10 9 9 11 17 24 30 37 46 54 60 59 58 58 60 61 60 58 53 48 74
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 15 20 24 26 29 30 30 27 27 27 27 26 26 28 28 28 28 29 29 28 26 25 22 16 14 12 9 8 8 12 19 26 34 42 52 59 59 59 61 63 63 63 66 62 57 61
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 13 19 25 28 29 30 29 29 28 27 26 26 28 29 30 30 30 32 33 32 29 26 24 21 18 14 11 9 9 10 13 17 30 38 48 54 58 59 61 65 68 67 72 72 70 66
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 7 10 16 26 31 33 32 31 30 30 29 29 27 29 31 32 33 34 35 34 33 28 26 25 25 24 19 15 13 12 12 11 10 24 34 44 50 54 57 61 70 74 75 76 78 79 77
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 10 16 24 31 36 37 35 33 32 31 32 31 34 35 33 33 34 36 35 32 29 28 28 28 27 24 20 17 14 14 12 12 19 30 41 50 54 61 64 70 77 81 81 81 82 84
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 6 6 10 17 22 28 34 39 39 38 36 34 33 33 34 36 35 33 35 37 35 32 31 32 33 32 30 27 24 21 16 14 13 14 16 22 31 46 51 59 62 66 74 82 84 84 86 90
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 1 0 1 1 2 5 6 10 16 21 27 34 40 41 41 39 37 37 35 34 36 37 34 35 39 35 33 32 31 31 34 34 30 27 24 20 17 15 14 15 17 20 34 43 50 54 58 68 79 84 85 86 94
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 5 4 2 3 3 6 10 15 20 26 34 38 40 41 41 41 40 39 38 38 38 37 37 39 36 36 35 33 34 35 38 35 31 27 23 20 17 15 16 17 17 22 31 41 49 54 63 74 82 87 82 86
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 7 5 5 5 6 7 11 15 19 25 32 36 39 42 42 43 43 43 43 41 39 43 44 41 39 38 37 34 33 35 38 37 33 30 26 23 19 15 16 16 14 16 21 29 38 48 60 73 77 82 79 79
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