Vorticity
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nan 8 4 1 -2 -2 -1 0 2 4 5 6 7 8 10 12 13 15 19 24 27 28 28 24 18 14 10 7 4 3 2 3 4 5 6 7 8 8 9 9 9 9 8 8 8 9 10 12 13 13 12 11 11 10 9 9 9 9 10 11 11 12 11 12 12 12 12 11 10 9 9 8 8 9 9 10 9 10 10 11 12 13 14 14 13 13 13 12 11 10 10 10 11 11 11 10 9 8 7 8 9 9 9 9 8 9 9 9 9 10 11 13 14 14 12 10 8 7 6 7 7 8 8 8 8 7 7 8 8 8 8 9 9 10 10 10 9 9 9 10 11 13 13 13 12 11 11 11 11 11 11 10 9 9 10 12 13 13 12 12 11 10 10 10 9 9 9 8 8 9 9 10 11 10 9 9 9 9 10 11 12 12 12 11 10 10 10 11 nan
nan 1 -3 -5 -5 -3 -1 1 3 5 6 8 9 11 13 15 18 21 24 26 26 24 18 10 3 -1 -2 -2 -1 -0 1 2 4 5 6 7 8 9 9 10 10 10 9 7 7 7 8 10 11 11 11 11 11 11 11 10 10 9 9 10 11 11 11 11 12 12 12 11 10 9 9 8 8 9 10 10 10 9 9 10 11 12 13 14 13 13 13 12 12 11 11 11 11 11 10 9 7 6 6 8 9 9 9 9 9 9 9 10 11 12 13 14 14 12 10 8 7 7 7 7 7 8 8 8 7 7 7 7 7 8 8 8 9 9 10 10 10 10 10 10 11 12 12 12 11 11 11 11 10 9 7 6 6 7 9 11 12 13 12 11 11 10 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 10 12 12 12 11 10 10 10 11 11 nan
nan -3 -3 -1 0 2 3 4 5 6 8 10 13 16 18 20 23 23 22 19 15 10 3 -3 -7 -7 -4 -2 1 2 3 3 4 5 6 6 7 9 10 10 11 10 9 8 7 7 7 8 9 10 11 11 11 11 11 11 10 10 10 11 12 12 12 12 12 12 11 11 10 10 9 8 8 8 9 9 9 8 8 8 9 11 11 12 12 12 12 12 12 12 12 12 11 11 9 8 8 8 8 10 11 10 10 10 9 9 10 11 13 14 14 13 11 9 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 10 10 10 10 10 11 11 11 10 10 9 9 9 8 7 6 4 3 3 5 7 8 10 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 9 10 11 12 12 12 11 11 10 11 12 12 nan
nan -2 0 3 5 5 6 7 7 8 11 14 19 23 25 27 25 20 14 7 2 -2 -4 -6 -5 -4 -1 2 4 6 5 5 5 5 6 7 8 9 10 10 10 10 8 7 7 6 7 7 8 9 10 11 11 11 10 9 9 9 10 11 12 13 13 12 12 12 12 11 10 9 9 8 8 8 9 9 8 7 6 6 7 9 10 10 10 10 11 11 12 13 13 12 11 10 9 8 9 10 11 12 12 12 11 11 10 10 10 12 14 15 15 12 9 7 6 5 5 5 5 6 6 7 7 7 7 7 7 7 7 7 7 8 9 9 10 10 10 11 11 12 12 11 10 9 8 8 7 6 5 4 3 2 3 3 4 5 7 9 11 11 12 12 11 11 10 10 10 10 9 10 10 9 8 8 8 8 9 10 11 12 12 12 12 12 13 13 13 13 nan
nan 0 2 4 5 6 7 8 10 11 14 19 24 29 30 30 25 16 7 1 -2 -2 -2 -0 1 2 3 4 6 6 6 6 6 6 7 8 9 9 9 9 9 9 8 7 7 7 7 7 8 9 11 11 11 11 9 8 8 8 9 10 12 12 12 12 12 12 12 11 10 9 8 7 8 8 9 9 9 8 7 6 7 8 9 9 9 9 10 11 12 13 13 12 11 9 8 9 9 11 13 14 14 13 12 11 10 10 11 13 15 16 16 14 10 7 6 5 4 4 4 5 6 6 7 8 8 7 7 7 7 7 7 8 9 10 10 10 11 11 12 13 14 13 12 11 10 9 8 7 6 6 6 6 5 4 3 3 4 7 10 12 13 13 13 12 12 11 11 10 10 10 9 8 8 7 7 8 10 11 12 12 12 13 13 13 13 13 13 13 nan
nan 3 4 4 5 7 8 10 12 14 17 22 25 29 30 27 20 10 4 1 0 2 3 4 5 6 6 7 7 7 6 6 6 7 8 10 10 10 9 9 8 9 8 8 8 8 7 7 8 9 11 11 12 11 9 8 7 7 8 10 12 13 12 12 12 12 12 11 10 9 8 7 8 9 9 9 10 10 9 10 10 10 10 10 10 10 10 11 12 12 13 12 11 9 8 9 10 12 14 15 15 14 13 12 11 10 12 13 15 17 17 16 13 10 7 5 4 4 4 4 5 6 7 7 8 7 7 7 7 7 8 9 9 10 10 10 10 11 12 13 14 14 14 14 13 12 11 12 12 12 12 10 8 6 4 3 4 7 10 12 13 13 13 12 12 12 11 11 10 10 9 8 7 7 7 9 10 11 11 12 12 12 12 12 13 13 13 13 nan
nan 5 6 6 6 8 10 12 13 15 17 21 22 22 21 17 11 5 2 2 3 5 6 7 8 9 9 10 9 8 7 6 7 7 9 11 11 10 9 7 7 8 9 9 9 9 9 9 9 10 11 12 12 12 10 8 6 6 7 9 11 12 12 12 11 11 10 10 10 10 11 11 11 11 11 10 10 11 12 14 14 13 12 10 10 10 11 11 11 12 13 12 12 11 9 9 10 11 14 16 15 15 13 12 11 11 12 14 15 17 18 17 16 12 9 6 4 4 4 4 5 6 7 7 7 7 7 7 8 8 9 9 10 10 10 10 10 11 11 12 12 13 13 13 14 15 15 16 16 15 13 11 9 7 6 6 7 9 10 12 13 13 13 12 12 12 11 11 10 10 9 8 8 8 8 9 10 11 11 11 11 11 11 12 13 14 14 13 nan
nan 7 7 8 10 11 13 14 14 15 15 16 17 15 13 8 4 3 4 5 6 7 7 7 9 10 11 11 11 9 8 7 7 7 9 10 11 10 8 6 6 7 9 11 12 12 12 11 11 11 12 13 13 13 12 11 9 7 7 8 10 12 13 13 12 10 9 9 11 13 15 15 15 14 12 11 11 11 12 14 14 13 11 10 10 10 10 11 11 11 12 13 13 12 10 9 9 10 13 14 15 14 13 13 12 12 13 14 16 18 20 19 17 14 10 7 5 4 4 5 5 6 6 7 7 7 7 7 8 8 9 9 10 10 10 10 10 10 11 11 11 11 12 12 13 14 16 16 16 14 12 10 9 8 8 9 10 11 11 12 13 13 13 13 13 12 12 11 10 9 9 8 8 8 9 9 10 10 10 10 10 11 11 12 13 15 15 13 nan
nan 8 9 11 13 15 16 16 15 14 13 13 13 11 9 6 5 5 7 8 8 8 8 8 8 9 10 11 11 10 8 7 8 9 10 11 10 9 7 6 5 7 10 13 15 16 16 14 12 12 12 12 13 14 14 14 13 11 10 10 11 12 13 14 13 11 9 9 11 14 17 18 18 16 13 12 10 10 10 11 11 10 9 9 8 9 10 11 11 11 12 13 13 12 11 9 9 9 10 12 13 13 13 12 12 13 14 16 18 21 22 21 18 15 11 7 5 4 4 5 5 6 6 7 7 7 7 8 8 8 9 9 10 10 10 10 11 11 11 11 11 11 10 10 11 12 14 15 14 13 11 10 9 9 10 10 11 12 12 13 13 14 14 14 13 13 12 11 10 10 9 9 9 8 8 8 8 9 9 10 10 10 11 12 14 15 15 14 nan
nan 12 12 14 16 17 18 17 15 13 13 12 11 10 9 8 8 8 9 9 9 9 9 9 8 7 8 10 11 10 9 8 9 10 11 12 12 10 8 6 5 7 10 14 17 19 19 16 13 12 11 11 12 13 14 14 14 14 13 12 12 13 14 15 14 12 10 10 12 14 16 18 17 15 13 11 10 9 9 9 9 9 9 8 8 9 10 11 12 12 12 13 13 12 11 9 8 8 10 10 11 11 11 12 12 14 15 18 20 23 24 22 18 14 11 7 5 4 4 4 5 5 6 6 7 7 7 8 8 8 9 9 10 10 10 10 10 10 10 11 11 10 9 9 10 11 12 13 13 11 9 9 8 8 9 10 11 11 12 12 13 14 15 14 14 13 12 11 10 10 10 10 9 8 8 7 8 8 9 10 10 10 11 12 13 15 16 14 nan
nan 18 18 18 18 17 16 15 14 12 12 12 11 10 10 9 9 9 9 9 10 10 11 11 9 8 8 9 11 11 10 9 9 10 11 11 11 11 10 7 6 7 10 14 17 19 18 16 13 12 11 11 11 12 14 14 15 15 14 13 12 13 14 15 14 13 11 10 11 13 14 15 15 13 12 10 9 9 9 9 10 10 9 9 9 9 10 11 12 13 13 14 13 12 11 9 7 8 9 9 10 10 10 11 13 15 18 20 23 24 23 20 16 12 9 6 4 4 4 4 4 5 5 6 6 7 7 8 8 9 9 9 10 9 10 10 10 10 10 10 10 9 9 9 9 10 11 13 13 11 9 7 7 7 8 9 10 10 11 12 13 14 14 14 14 13 12 12 11 10 10 9 8 8 7 8 8 9 9 10 10 10 11 11 13 14 15 14 nan
nan 22 21 19 17 15 13 12 12 11 11 10 10 10 10 10 10 10 9 9 9 9 10 11 10 9 8 9 11 11 10 9 8 8 8 7 8 9 9 9 7 7 9 12 16 17 17 15 13 12 12 12 13 15 16 17 17 16 15 14 13 13 14 15 15 14 12 11 11 11 12 12 12 12 11 11 10 10 10 10 11 10 10 8 8 8 9 11 12 14 15 14 13 11 9 8 7 7 8 9 9 9 9 11 14 18 21 23 25 24 21 17 13 9 7 5 4 4 4 4 4 5 5 6 6 7 7 8 8 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 10 11 13 13 12 9 7 5 6 7 8 9 10 10 11 12 13 14 14 14 14 13 12 11 10 10 9 8 8 7 7 8 8 9 10 10 11 11 11 13 14 14 13 nan
nan 16 16 15 12 11 10 9 9 10 9 8 8 8 9 10 10 10 10 9 8 8 8 9 9 7 6 6 7 8 8 8 7 6 5 5 7 9 9 10 8 8 9 11 14 16 17 16 14 14 14 14 15 17 18 19 19 18 16 14 14 13 14 14 15 14 13 12 11 10 10 10 11 12 12 12 11 11 10 10 10 9 8 6 6 6 8 10 12 14 15 14 12 10 8 7 7 7 8 9 9 10 10 12 16 19 23 25 25 23 18 14 10 7 5 4 3 3 3 3 4 4 5 5 6 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 12 14 14 13 11 8 6 6 7 8 8 9 10 10 11 12 13 14 14 14 14 13 12 11 10 9 8 7 7 7 7 8 9 10 10 11 11 12 12 12 12 13 nan
nan 8 9 9 9 8 8 8 8 8 8 7 7 8 8 9 9 10 11 11 10 9 8 7 6 4 2 1 2 4 6 7 7 8 7 8 9 10 11 11 10 10 10 11 13 15 16 16 15 15 15 15 15 16 16 16 17 16 15 14 13 12 12 13 14 14 14 13 12 12 11 11 13 13 14 13 11 10 10 9 8 7 5 4 4 6 8 11 13 15 15 12 10 8 7 7 7 8 9 10 10 11 12 14 17 20 23 25 24 20 16 12 9 5 4 3 3 3 3 3 3 4 5 5 5 6 6 7 7 8 8 8 9 9 9 9 10 10 10 10 9 9 10 10 10 11 13 15 15 15 13 9 6 6 6 8 8 9 10 11 11 12 13 14 15 15 14 14 13 12 11 10 8 8 7 7 7 8 9 9 10 11 11 11 11 11 12 12 nan
nan 4 5 6 7 8 8 8 8 8 7 7 7 8 8 9 9 9 10 11 11 11 9 8 6 4 3 2 1 2 3 5 6 8 9 10 10 10 11 12 12 11 11 12 13 14 15 14 14 14 14 13 12 10 10 10 11 12 13 12 11 11 10 11 12 13 14 14 14 14 14 14 15 15 15 13 11 10 9 8 7 6 4 4 5 7 10 12 14 15 13 10 8 7 7 7 8 8 9 10 10 11 12 14 17 19 21 23 21 18 14 10 7 5 3 3 3 3 3 3 3 4 4 5 5 5 6 6 7 7 8 8 9 9 9 10 10 10 10 10 10 10 10 10 11 12 13 15 17 16 15 11 8 7 7 8 9 10 10 11 12 12 13 14 15 15 14 14 13 12 11 10 9 8 7 7 7 8 9 10 10 11 11 11 11 11 12 12 nan
nan 4 5 6 7 8 8 8 8 8 8 8 7 7 7 9 10 9 8 7 7 8 9 8 8 7 6 6 5 3 2 3 3 5 6 7 8 9 10 11 12 12 13 13 14 15 14 13 12 12 11 10 8 6 6 7 8 10 12 12 12 11 10 9 10 11 12 13 14 14 15 16 17 16 14 13 11 10 9 8 7 7 6 7 9 10 11 13 13 12 11 8 7 7 7 8 8 8 9 10 10 11 12 13 15 17 19 20 18 15 12 8 5 4 4 3 3 3 3 3 3 4 4 5 5 5 5 6 7 7 8 8 9 9 10 10 10 10 10 10 10 10 10 10 11 11 13 14 16 17 16 13 10 8 8 9 10 10 10 11 12 12 13 14 14 14 13 13 13 13 12 11 10 9 8 7 7 8 9 10 11 11 12 11 11 11 12 12 nan
nan 5 6 7 8 8 8 8 7 9 9 9 7 5 5 7 11 11 9 6 3 3 4 7 8 8 8 8 9 8 5 3 2 3 5 6 7 8 10 11 12 13 14 14 15 15 15 13 12 11 10 8 7 6 6 7 9 10 12 12 12 12 11 10 10 10 10 11 12 12 13 14 14 13 12 11 10 10 10 9 9 9 10 11 12 13 12 12 10 9 8 8 8 8 8 8 8 9 9 9 10 11 12 13 14 15 16 16 14 11 9 6 5 4 4 3 3 3 3 3 3 4 4 4 5 5 5 6 6 7 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 13 14 15 13 11 10 9 9 10 11 11 11 12 12 12 13 13 13 13 13 13 13 13 11 10 9 9 8 8 9 9 10 11 12 12 11 11 11 12 12 nan
nan 6 7 8 9 9 8 7 7 8 10 9 7 3 2 5 9 12 12 10 6 2 2 4 6 7 8 8 10 11 10 7 5 4 6 9 10 11 11 12 13 13 14 15 15 16 15 14 12 11 10 9 7 7 8 8 9 9 10 11 11 12 12 12 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 10 10 12 14 15 14 12 10 8 7 8 9 9 10 9 9 9 9 9 10 11 12 14 15 15 15 15 13 10 7 6 5 4 4 4 3 3 3 3 3 4 4 4 4 5 5 5 6 6 7 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 11 11 10 11 11 11 11 11 11 11 11 12 12 13 13 14 14 14 13 12 11 10 8 8 8 9 9 10 11 11 11 11 11 11 11 11 nan
nan 7 8 10 11 10 7 4 4 5 8 8 5 3 1 3 7 11 14 14 13 8 5 5 6 7 8 8 10 12 13 11 9 9 11 13 14 15 14 14 14 14 14 15 16 16 15 14 12 11 10 9 9 9 9 9 9 8 8 9 10 11 12 12 12 12 12 11 11 11 11 10 10 9 9 9 9 9 8 9 9 11 14 16 16 15 12 8 6 5 7 9 10 10 10 9 10 10 11 12 14 16 17 18 18 18 16 13 10 7 5 4 4 4 4 4 4 4 4 3 4 4 4 4 4 5 5 6 7 7 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 11 11 11 12 12 12 12 11 11 11 11 11 12 13 14 15 16 15 14 13 11 9 8 8 8 8 9 10 11 11 11 11 11 10 10 10 nan
nan 8 10 12 14 12 6 1 -1 1 5 6 4 2 1 3 7 9 11 12 13 12 10 9 9 9 9 9 10 11 12 13 12 13 16 18 18 18 17 16 15 14 14 15 15 16 15 14 13 12 11 10 10 10 10 10 9 8 8 8 9 11 12 12 13 13 12 12 12 11 11 10 10 10 10 11 10 10 9 9 10 12 14 16 15 13 10 7 4 4 5 6 8 8 9 9 10 12 14 15 17 19 20 21 21 21 20 16 13 10 7 6 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 6 7 7 8 8 9 9 9 10 10 10 10 10 10 10 11 11 10 10 10 9 9 9 9 10 10 11 11 12 12 12 11 11 10 10 10 11 12 13 14 15 16 16 15 13 11 10 9 8 8 8 8 9 10 10 10 10 10 9 9 9 nan
nan 10 11 14 16 15 9 3 -2 -1 4 5 5 3 2 4 7 7 8 8 9 11 12 12 11 10 9 8 9 10 11 12 14 16 19 20 20 20 18 16 14 14 14 15 15 16 15 14 14 13 11 10 10 10 10 10 10 9 9 9 9 10 11 11 12 13 13 13 12 11 10 10 10 10 10 10 10 11 11 12 13 13 13 13 11 9 7 5 4 4 4 4 5 6 7 8 10 12 15 17 19 20 21 22 24 24 23 20 17 14 11 9 7 6 5 4 4 4 4 4 4 4 5 5 5 5 6 6 7 8 8 8 9 9 9 10 10 10 10 10 10 11 11 11 11 10 10 9 9 9 9 10 10 11 11 12 12 12 11 10 10 9 10 11 12 13 14 15 15 15 15 14 12 10 9 8 8 8 8 8 9 9 10 10 10 9 9 9 nan
nan 11 11 14 17 17 13 7 2 2 6 7 6 4 4 6 9 10 9 8 8 9 11 12 12 12 10 9 8 9 10 12 13 16 19 20 21 20 18 16 14 14 14 15 15 16 16 15 14 13 12 12 11 11 11 11 11 10 9 8 8 8 10 11 12 13 14 13 12 10 9 9 9 9 9 9 10 11 13 14 14 13 11 10 7 6 5 4 4 4 4 4 4 5 5 7 9 12 15 17 18 19 20 21 23 24 24 21 18 15 12 10 8 6 5 4 4 4 4 4 5 5 5 5 6 6 7 7 7 8 8 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 10 9 9 9 9 10 10 11 11 12 12 12 11 11 10 11 11 11 12 13 14 14 14 15 15 14 12 11 10 9 8 8 8 8 8 9 9 9 10 10 10 10 nan
nan 10 10 13 15 15 14 10 7 7 8 8 7 6 5 8 11 13 13 12 11 11 12 13 13 13 12 11 10 11 11 12 14 15 17 19 19 19 18 16 15 14 14 15 15 15 15 15 14 13 13 13 12 13 13 12 12 10 8 7 6 6 9 11 13 13 14 13 11 9 8 8 8 9 9 9 9 11 12 13 13 11 9 7 6 5 5 5 6 7 7 7 6 6 7 9 11 13 16 17 18 19 19 20 21 22 21 19 16 13 11 9 7 6 5 4 4 4 4 4 5 5 6 6 7 7 7 8 8 8 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 10 10 9 9 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 12 13 13 14 14 14 14 13 12 11 10 9 9 9 9 9 8 8 9 9 9 10 10 nan
nan 8 9 10 12 11 10 9 9 9 9 9 7 6 6 8 12 14 14 14 13 13 14 14 14 14 14 14 13 13 13 12 13 14 14 16 17 17 17 16 15 15 14 14 14 14 14 13 13 12 12 12 13 13 13 13 13 11 8 6 5 6 8 10 11 12 13 12 11 9 8 8 9 10 10 10 10 10 11 10 9 7 6 6 6 6 7 7 8 10 11 10 9 10 10 12 14 15 17 19 18 18 19 19 19 18 17 15 12 10 9 7 6 5 5 4 4 4 4 5 5 5 6 7 7 7 8 8 8 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 9 10 10 11 11 12 12 12 12 12 11 11 11 12 12 13 14 14 14 14 13 12 11 11 10 10 9 9 8 8 8 8 9 9 9 nan
nan 8 9 9 9 9 8 9 10 12 11 10 8 7 7 9 12 13 13 13 13 13 13 14 15 15 14 14 14 14 13 12 11 12 12 13 14 15 15 15 15 14 14 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 9 7 6 6 7 8 9 10 11 11 10 9 8 8 9 10 11 11 11 9 8 6 4 3 3 4 6 7 8 9 10 12 13 14 13 12 12 13 15 16 18 19 18 17 17 17 17 16 14 12 10 8 7 6 6 5 5 4 4 4 4 5 5 6 6 7 7 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 9 9 9 10 10 11 11 12 12 12 11 11 11 11 11 11 12 12 13 13 14 14 13 13 12 12 11 10 10 9 8 8 8 8 8 9 9 nan
nan 9 9 8 6 6 7 9 13 15 15 13 12 9 8 9 10 11 11 12 12 12 13 14 14 14 14 14 13 12 11 10 10 10 10 11 13 14 14 14 14 14 14 13 12 12 11 11 11 11 10 9 9 9 9 9 9 9 8 7 6 6 6 7 7 8 9 10 10 9 9 9 9 11 13 13 11 9 6 3 0 -0 0 2 4 6 8 9 11 12 14 15 14 13 12 12 13 15 16 17 17 17 16 16 15 14 12 10 8 7 6 6 5 5 5 5 5 5 5 5 5 6 6 6 7 8 8 9 9 9 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 11 11 11 12 12 11 11 11 11 10 10 10 11 12 12 13 13 14 14 13 12 12 11 10 10 9 8 8 8 8 8 9 9 nan
nan 12 10 8 5 5 8 11 15 17 17 16 14 12 10 9 8 9 10 11 12 12 13 13 13 13 13 12 12 11 10 9 9 9 10 11 12 13 14 14 14 14 13 13 13 12 12 12 11 11 10 9 8 8 8 8 8 8 7 7 6 6 6 5 5 6 8 9 9 8 8 9 10 12 14 14 12 9 6 3 2 3 3 3 4 5 6 8 10 12 13 14 14 12 11 10 10 12 13 15 16 16 16 16 14 12 10 9 7 7 6 5 5 5 5 5 5 5 5 5 6 6 6 6 7 7 8 8 9 9 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 11 11 12 11 11 11 11 11 10 10 10 10 11 11 12 13 13 14 14 13 12 11 10 10 10 9 8 8 8 8 9 9 nan
nan 16 13 10 9 9 11 13 16 19 19 18 17 14 11 9 9 9 10 11 12 12 12 12 12 12 11 11 11 10 10 9 9 9 10 11 12 13 13 13 13 13 14 13 13 13 13 12 12 12 11 10 10 9 9 8 8 7 7 6 6 6 5 4 5 6 8 9 8 7 7 8 10 13 14 13 11 9 8 6 6 7 7 7 6 6 6 8 10 12 14 16 15 14 12 10 9 9 10 12 13 15 15 15 13 11 9 8 7 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 7 7 8 9 9 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 12 13 14 14 14 13 12 11 12 12 12 11 9 8 8 8 8 9 nan
nan 16 14 12 13 13 13 15 16 19 20 20 18 16 12 10 9 9 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 12 12 13 13 13 13 14 13 13 13 13 13 13 12 11 10 10 11 10 10 9 9 8 8 7 6 4 3 4 5 8 9 8 7 6 8 9 11 11 9 8 7 6 7 8 9 9 8 8 8 9 10 12 14 17 19 19 18 15 12 10 9 9 10 11 12 14 14 13 10 8 7 6 6 5 5 5 5 5 5 5 5 6 6 6 7 6 6 6 6 7 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 12 14 14 15 14 13 12 12 13 13 13 12 10 8 8 8 8 8 nan
nan 12 12 12 13 14 14 15 16 18 19 20 18 16 13 11 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 13 13 13 13 13 13 13 13 12 12 12 12 11 11 10 10 11 12 12 11 11 11 10 9 5 2 2 3 5 8 10 9 7 6 7 8 10 9 7 6 5 5 6 8 9 9 8 8 9 11 12 13 15 17 20 21 20 19 16 13 12 11 10 11 11 13 13 12 11 9 7 6 5 5 5 5 4 4 4 5 5 5 6 6 6 7 6 6 6 7 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 12 13 14 14 14 14 13 12 13 13 13 13 12 10 9 8 8 8 9 nan
nan 11 11 12 13 14 15 15 15 17 18 19 18 16 13 11 10 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 12 12 12 12 13 14 13 13 13 12 12 11 11 11 11 11 11 10 9 9 10 10 12 12 13 14 13 12 6 1 1 1 5 8 10 10 8 6 5 6 8 9 9 8 7 6 6 7 8 8 9 9 10 11 12 13 14 16 18 20 21 20 19 16 14 13 12 12 11 12 12 12 11 10 8 6 5 4 4 4 4 4 4 4 5 5 5 6 6 6 6 6 6 7 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 13 12 12 12 12 12 12 13 13 14 14 14 13 13 13 13 13 13 12 11 10 9 9 8 9 nan
nan 11 13 14 15 15 15 15 15 17 18 18 18 16 15 13 12 12 10 10 10 9 9 9 10 10 11 11 11 11 11 12 12 13 13 13 13 13 13 13 12 11 11 10 9 9 9 10 10 10 10 10 10 9 9 10 11 12 14 14 12 8 3 2 2 4 9 11 10 8 6 5 5 8 10 11 11 11 9 8 7 7 8 9 11 11 12 13 13 13 14 16 17 19 20 19 18 16 14 13 12 11 11 11 10 10 9 8 6 4 3 3 3 3 4 4 4 5 5 5 6 6 6 7 7 7 7 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 13 13 13 13 13 12 12 11 12 12 13 14 14 14 14 13 13 13 14 14 13 12 11 10 9 8 8 nan
nan 9 12 14 15 15 14 14 14 16 18 18 17 16 15 14 14 13 13 12 12 12 12 11 12 12 13 13 13 12 12 13 14 14 15 14 14 14 13 12 11 10 9 8 7 7 8 9 10 10 11 11 11 11 10 11 11 12 13 13 11 8 6 5 5 6 9 11 10 8 6 5 6 8 10 11 12 12 11 9 7 7 7 9 11 12 13 14 14 14 13 14 15 16 17 17 17 15 14 13 11 11 11 10 9 8 7 6 4 2 1 1 2 3 4 4 5 5 5 6 6 6 7 7 7 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 13 13 14 14 14 13 13 12 11 11 12 13 13 14 14 14 13 13 13 13 14 15 14 14 12 10 9 8 7 nan
nan 6 10 13 14 13 12 12 12 13 15 16 16 15 13 13 13 13 13 13 13 14 14 14 14 15 15 15 15 15 14 15 15 15 16 15 14 14 12 11 10 9 8 7 7 7 8 9 9 9 10 11 12 13 13 13 13 12 12 12 10 8 8 8 8 8 8 9 9 8 7 6 6 6 7 9 11 11 10 9 8 6 6 7 8 10 12 13 14 14 14 13 13 13 14 14 14 14 13 12 11 11 11 10 9 8 6 4 2 1 0 0 1 2 3 4 5 5 5 6 6 7 7 7 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 13 14 14 14 14 13 13 12 11 11 12 13 13 14 13 12 12 12 13 14 16 16 16 15 13 10 9 8 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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
3 5 5 6 6 6 6 6 6 6 6 6 5 5 5 6 5 5 4 3 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 0 0 0 0 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 6 4 3 3 2 0 0 2 2 3 5 10 14 13 15 20 23 17 17 24 43 76 127 174 218 244 249 256 287 328 367 392 391 393 393 385 375 370 380 410 452 502 552 604 647 667 670 662 651 637 603 566 522 469 487 530 570 599 609 588 534 478 442 430 436 438 428 420 429 460 487 499 507 520 539 563 579 581 598 599 564 558 585 639 708 773 818 829 822 797 764 748 764 780 783 790 812 841 850 841 841 853 859 828 780 756 780 840 846
3 5 5 5 5 6 5 5 5 6 6 6 5 5 5 5 4 4 4 3 4 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 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 0 0 2 8 10 13 18 26 31 22 20 21 22 18 17 26 46 80 118 136 163 188 204 216 237 267 291 301 298 301 342 365 388 416 449 484 522 560 590 613 639 653 660 662 659 645 605 578 577 587 602 597 583 576 567 553 532 510 497 492 489 478 450 421 412 425 451 468 471 469 463 450 417 359 345 359 377 407 473 551 621 676 711 738 739 739 739 739 745 743 729 728 740 757 766 759 769 796 822 819 803 804 828 858 857
4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 3 3 3 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 0 0 0 0 0 0 0 0 0 0 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 12 18 27 35 39 35 27 29 32 28 22 26 45 74 101 111 123 142 154 159 160 163 171 173 181 215 293 370 435 488 529 557 578 600 599 592 602 616 626 628 614 571 474 493 579 647 660 617 557 523 507 504 524 563 591 611 615 596 547 492 462 468 496 513 504 483 447 394 324 256 207 204 240 295 356 442 552 629 663 692 701 704 710 718 724 714 684 682 703 727 729 703 682 680 700 730 768 796 837 872 872
5 5 5 4 5 5 5 4 4 5 4 4 4 4 4 4 4 4 3 3 3 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 0 0 0 0 0 0 0 0 0 0 0 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 8 18 25 31 35 38 38 40 41 37 32 32 43 59 80 93 81 94 100 98 91 83 81 84 108 169 265 377 469 530 562 573 580 581 565 556 562 574 579 571 539 488 439 438 562 653 677 638 576 527 521 537 561 597 649 695 727 733 706 656 629 638 663 673 666 609 507 384 270 196 168 179 224 292 372 441 493 565 630 665 686 688 687 688 693 697 681 697 721 735 717 666 624 614 635 683 745 775 818 849 847
4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 3 3 3 2 3 2 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 3 7 14 21 25 28 33 37 40 36 36 38 42 48 54 69 80 76 71 71 69 66 62 59 63 83 132 219 335 444 505 521 509 493 495 499 514 531 546 556 565 561 550 524 462 533 628 681 673 616 558 555 579 611 646 677 705 735 760 771 758 761 772 776 756 706 582 394 237 142 113 117 155 214 284 350 395 431 501 557 583 608 627 638 650 662 664 617 646 677 694 690 651 600 591 629 692 747 781 806 813 795
3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 3 3 2 2 2 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 1 6 12 18 23 26 29 32 35 37 32 27 29 37 48 54 63 76 81 72 66 67 70 73 77 82 86 112 174 272 390 474 488 461 442 471 487 512 543 573 597 614 624 628 588 507 489 559 626 644 612 572 553 562 572 580 607 645 676 715 742 739 713 683 663 611 491 288 137 61 33 38 57 104 161 220 279 342 437 472 468 468 496 525 548 583 603 594 545 558 574 596 615 616 587 603 655 715 756 790 805 799 772
4 4 5 5 4 3 3 3 3 4 4 4 4 3 3 3 4 3 2 2 2 2 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 0 0 0 0 0 0 1 4 8 13 18 21 25 28 31 33 34 31 24 22 27 39 53 64 79 84 80 74 73 79 90 99 102 98 104 139 215 324 440 486 475 473 501 526 576 620 646 653 646 624 624 587 533 539 597 619 609 589 572 523 511 505 500 493 494 520 548 571 570 532 478 457 414 304 116 18 6 12 24 39 58 87 132 196 285 413 443 414 389 397 427 460 510 536 533 518 520 529 544 559 566 553 592 645 688 713 738 759 767 759
4 3 4 5 4 3 3 3 4 4 4 4 4 3 3 4 4 3 2 2 2 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 1 3 5 8 11 15 19 24 27 26 24 23 23 25 33 45 55 65 70 72 74 81 91 102 110 110 104 97 114 172 271 391 488 496 509 539 580 636 663 656 632 601 563 582 610 635 649 637 616 605 574 537 490 453 433 427 433 451 464 444 421 397 368 340 332 314 250 133 5 2 10 25 39 49 61 96 172 274 368 375 366 352 349 364 400 451 486 509 526 544 548 542 528 514 511 544 579 600 611 622 645 679 703
4 3 4 4 3 3 4 4 4 4 4 4 4 3 3 4 3 3 2 2 2 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 1 2 3 5 8 12 16 19 20 23 26 28 31 38 45 50 56 65 75 83 92 103 104 101 95 91 97 136 219 338 464 505 522 551 589 621 614 567 517 481 472 529 560 576 578 576 583 590 546 499 464 408 368 340 318 306 323 334 322 311 306 303 296 277 244 185 103 67 62 65 68 68 71 97 148 226 300 296 315 336 344 347 367 428 485 527 552 559 534 492 461 451 468 495 516 522 518 514 528 581 627
3 2 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 2 2 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 1 3 7 14 19 21 25 32 35 37 43 49 54 61 68 73 79 91 84 80 80 84 93 123 180 271 374 441 447 478 518 543 531 467 393 366 388 447 449 449 461 474 475 486 456 419 387 361 361 366 356 348 355 379 361 325 297 283 275 258 265 277 279 263 254 221 173 133 126 192 199 215 235 242 276 318 338 345 362 428 499 540 548 525 474 419 404 424 463 506 525 509 480 458 464 516 574
4 3 3 2 3 3 4 4 4 4 4 4 3 3 3 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 13 17 22 27 33 38 44 49 53 57 62 65 67 72 74 73 76 81 88 102 141 208 272 310 303 318 371 432 460 403 293 300 341 369 363 341 333 329 314 286 288 291 292 299 325 371 396 412 415 374 360 342 322 303 286 261 289 339 393 433 443 393 335 302 310 357 288 253 231 214 232 291 329 343 366 434 491 517 509 472 418 373 374 423 474 488 508 506 477 447 445 486 541
4 3 1 2 3 4 4 4 4 4 3 3 3 3 3 3 3 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 6 9 11 13 20 28 37 43 47 51 56 58 61 66 71 82 93 104 124 178 197 206 207 201 198 230 279 310 296 255 313 342 324 266 195 157 156 162 156 141 168 203 239 277 325 386 386 372 372 373 360 345 333 321 305 327 371 422 470 503 505 480 447 426 413 306 258 231 215 209 228 298 343 384 448 487 495 478 442 398 365 359 392 437 476 509 504 472 448 451 490 527
7 6 4 3 3 4 4 4 4 4 4 3 3 3 3 3 3 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 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 6 11 18 25 32 37 40 44 46 49 57 74 98 125 145 146 169 189 196 191 184 197 232 268 315 384 422 396 318 211 111 69 74 75 65 56 84 126 169 213 255 294 307 304 308 330 339 342 357 370 377 388 418 440 463 494 537 566 548 494 415 300 267 252 239 232 250 281 368 441 479 496 489 459 418 379 356 364 369 374 381 390 402 424 439 454 483 515
7 6 5 3 3 3 4 4 4 4 4 3 3 3 3 3 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 7 10 13 16 19 20 21 24 32 47 74 113 171 240 269 275 266 247 223 206 221 265 337 437 514 484 384 267 176 149 121 69 31 32 56 103 151 183 199 203 236 247 258 275 301 331 372 407 434 458 476 481 485 501 540 590 546 476 395 313 277 269 269 273 287 303 387 441 466 477 472 445 410 383 377 403 415 419 420 420 423 438 455 471 487 501
7 6 4 3 2 3 3 4 4 4 4 3 3 3 3 2 2 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 0 0 0 0 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 3 3 3 4 7 16 32 59 93 125 169 237 284 291 273 243 213 207 282 338 418 543 584 511 405 323 293 275 210 120 54 48 89 135 161 163 155 180 206 244 284 316 335 394 445 483 510 522 536 541 534 518 503 439 391 346 301 267 253 249 242 242 271 341 382 406 419 427 426 415 408 409 418 424 431 440 448 454 463 471 480 484 487
7 7 6 4 3 3 4 4 4 4 4 3 3 3 2 2 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 0 0 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 8 22 44 72 98 106 118 171 207 216 207 189 181 237 312 417 530 602 592 520 444 394 382 348 236 124 54 42 67 94 106 114 138 175 221 264 299 332 395 452 496 524 534 555 564 530 463 389 352 329 312 300 292 279 236 198 167 156 208 246 271 289 303 320 305 317 334 342 346 350 350 342 330 342 357 380 409 435
7 7 6 5 4 4 4 4 4 4 3 3 3 2 2 2 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 0 0 0 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 11 24 40 65 79 89 99 106 110 113 115 119 139 209 314 432 536 595 577 529 475 437 425 323 194 82 28 41 61 71 88 119 151 193 236 270 302 359 427 481 513 527 539 545 507 439 368 329 320 326 333 333 313 222 153 103 70 60 59 62 76 103 137 110 132 161 180 190 190 179 165 150 142 207 282 351 400
8 8 7 6 5 4 4 4 5 4 4 3 3 3 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 12 25 37 49 54 53 46 41 44 50 64 112 206 320 437 530 575 575 567 554 531 440 299 164 76 50 51 44 57 84 117 157 203 241 276 326 420 486 522 535 534 525 489 438 395 377 379 378 371 355 318 224 142 79 38 16 9 9 10 13 19 22 36 57 78 91 90 83 76 81 107 181 267 336 367
8 8 8 7 5 4 4 4 4 4 4 3 3 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 4 8 14 18 20 18 15 21 23 27 49 109 197 300 402 489 552 587 614 621 581 467 311 159 67 52 25 35 56 81 110 159 219 264 316 419 504 546 552 531 495 449 415 405 414 422 416 399 374 332 257 156 83 37 14 8 7 8 7 7 11 24 44 63 77 83 107 121 150 196 242 273 286 253
8 7 6 6 3 3 4 4 4 4 4 3 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 5 7 7 13 17 20 24 39 73 127 208 311 425 500 562 610 631 602 499 364 232 136 47 34 48 67 87 117 203 263 332 430 507 530 515 474 423 384 390 410 430 436 424 405 367 315 247 143 71 29 11 6 6 7 7 7 8 16 30 46 62 83 151 181 195 195 178 150 127 78
8 7 7 5 3 2 3 4 4 4 4 4 3 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 11 16 22 26 26 26 36 59 131 249 380 463 530 580 601 569 530 436 287 127 64 69 91 109 126 218 298 388 472 503 464 417 375 361 399 462 478 459 418 372 354 326 290 235 143 68 24 6 2 0 1 1 1 1 2 8 16 30 59 129 145 133 108 82 68 43 23
8 7 7 6 5 3 4 4 4 4 4 4 3 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 10 14 20 26 32 37 48 65 87 141 236 319 411 492 541 538 536 483 364 213 122 133 170 194 214 296 386 458 488 462 380 317 330 405 515 590 553 465 369 295 270 267 245 191 107 40 13 2 0 2 9 11 9 5 3 6 14 34 60 85 87 79 67 55 41 22 13
8 7 7 6 5 5 4 4 4 4 4 4 4 3 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 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 13 20 26 31 38 50 83 120 156 197 244 314 398 472 507 484 451 384 305 249 258 319 350 375 420 461 476 451 389 305 267 394 516 608 656 577 442 317 231 189 189 143 88 40 10 3 1 1 9 35 46 39 26 18 27 39 55 65 63 56 47 38 31 23 14 11
7 6 7 6 5 4 3 4 5 4 4 4 4 4 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 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 8 26 38 36 34 37 45 57 74 108 155 193 226 259 306 367 424 464 474 465 453 431 406 403 470 483 496 510 504 474 412 332 282 354 493 615 662 627 527 395 272 186 140 102 53 20 5 2 1 1 2 20 64 98 95 76 61 68 76 67 59 53 45 35 26 20 16 10 8
7 6 6 5 6 5 4 4 4 5 4 4 4 4 3 3 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 24 50 72 76 67 55 47 54 83 130 189 234 272 295 311 330 367 416 474 519 522 523 509 484 471 524 513 526 531 507 458 400 353 359 455 581 651 654 588 471 344 239 162 105 42 13 3 0 0 0 0 1 26 75 127 143 133 123 122 107 83 63 48 35 24 17 13 10 9 6
7 6 5 6 7 5 5 4 4 4 4 4 4 4 3 2 2 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 0 0 0 0 0 0 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 16 34 54 71 74 72 68 63 57 53 67 101 149 208 278 326 348 355 362 388 484 558 568 558 536 503 485 504 482 509 517 492 440 397 401 440 503 589 577 550 499 415 293 211 135 71 21 2 0 0 0 0 0 0 35 87 130 137 132 132 130 111 88 66 46 30 19 12 9 7 6 4
5 5 5 5 5 5 6 6 5 4 4 4 4 4 4 3 3 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 0 0 0 0 0 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 8 17 32 49 59 60 53 49 47 49 55 63 70 89 128 191 281 371 433 450 431 399 517 578 573 551 542 521 507 499 491 525 526 494 442 409 459 521 557 549 510 460 411 356 282 196 112 50 14 0 0 0 0 0 0 0 37 85 118 110 89 88 91 85 70 53 38 27 22 21 16 10 6 3
3 4 4 5 4 5 7 8 6 5 5 4 4 3 3 4 3 2 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 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 6 16 27 38 42 40 35 29 26 25 29 40 58 80 97 126 171 244 330 388 428 452 459 510 499 472 458 479 461 468 497 545 579 591 573 528 480 523 539 503 429 353 319 315 308 277 200 113 50 14 0 0 0 0 0 0 0 37 87 120 112 59 41 38 40 35 25 17 13 14 15 11 7 4 2
3 3 3 4 4 6 8 9 7 5 4 4 4 4 3 3 3 2 2 2 1 1 0 0 0 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 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 1 3 10 19 26 30 25 18 12 8 6 6 8 18 37 66 99 148 200 250 307 391 422 439 453 405 361 345 354 379 344 406 517 612 624 603 591 563 520 497 427 337 252 198 205 265 306 298 231 133 60 18 1 1 0 0 0 1 3 32 90 162 193 81 37 18 12 9 7 4 4 6 5 4 3 2 1
3 3 3 3 4 4 8 9 7 5 5 4 4 3 3 3 3 3 2 1 1 1 0 0 1 2 3 1 1 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 0 0 0 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 19 21 17 9 4 2 1 0 0 1 5 19 45 83 124 163 208 272 373 417 440 419 340 304 299 297 292 273 359 492 577 556 487 466 442 401 337 249 190 172 196 258 335 350 308 222 118 51 17 4 3 2 1 1 3 8 22 64 156 214 134 59 19 3 2 4 4 6 6 6 4 3 2 1
3 4 4 4 3 3 6 7 7 5 4 4 3 3 2 2 3 3 2 1 0 0 0 0 1 2 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 12 9 5 1 0 0 0 0 0 0 1 7 26 59 101 138 178 233 310 287 305 332 325 306 290 262 248 269 324 389 411 389 345 344 322 277 219 163 160 211 303 398 419 408 325 208 101 40 17 8 4 3 1 1 2 6 13 31 100 153 139 71 23 3 1 2 4 5 5 5 5 3 2 1
3 4 4 4 2 1 3 5 6 5 4 4 3 3 2 2 3 3 2 1 0 0 0 0 0 1 1 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 2 12 35 72 121 180 246 311 329 346 353 344 325 301 283 277 294 338 337 306 270 252 276 272 232 191 176 211 315 456 572 592 463 289 145 58 27 17 9 4 2 1 0 1 3 5 10 58 131 166 108 30 6 1 2 5 6 6 6 5 4 2 1
4 5 4 3 2 2 3 5 6 5 4 4 4 3 2 2 3 3 3 2 0 0 0 0 0 0 0 1 3 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 3 4 6 7 6 4 1 0 0 0 0 0 0 0 0 0 0 0 5 15 34 66 117 176 231 269 292 288 259 228 210 234 300 367 410 384 317 259 225 231 242 223 210 221 271 390 547 632 593 371 202 93 39 23 18 10 5 2 1 0 0 0 1 3 68 189 252 195 63 22 7 3 5 6 6 6 5 4 2 0
2 3 4 3 3 3 2 3 5 5 3 3 3 3 3 2 2 3 2 1 1 0 0 0 0 0 0 3 4 4 4 4 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 1 2 3 4 2 0 0 0 0 1 3 3 2 4 6 7 9 8 6 3 0 0 0 0 0 1 2 2 1 1 0 4 7 12 22 44 73 95 109 123 147 162 159 149 173 243 376 478 469 380 330 308 305 294 266 254 277 343 457 556 503 349 186 104 66 42 24 14 9 8 7 5 3 1 0 2 15 127 292 364 299 113 34 9 5 7 8 7 6 4 3 1 0
1 2 3 3 2 3 2 3 5 6 6 4 3 3 3 2 2 2 2 1 0 0 0 0 0 0 1 3 4 5 5 4 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 1 2 3 4 2 1 0 0 1 4 7 9 11 10 10 9 9 8 7 4 2 0 0 0 0 1 2 6 9 8 5 3 6 8 8 7 10 17 20 24 34 58 91 119 134 147 187 300 384 389 327 344 371 387 369 329 331 372 441 522 489 344 193 93 48 37 29 21 13 12 16 17 14 7 1 1 21 85 251 420 458 339 110 36 15 12 15 14 10 6 3 2 0 0
2 2 2 2 2 2 2 3 5 8 10 9 3 2 2 2 2 2 2 1 0 0 0 0 0 0 2 3 4 5 4 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 0 0 0 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 4 4 4 3 3 3 4 8 12 13 11 10 12 13 10 7 6 5 3 1 1 0 0 1 3 8 14 14 11 9 10 13 15 15 12 5 3 3 5 13 27 46 69 91 108 173 215 220 196 214 212 225 255 301 347 397 456 488 362 212 108 50 29 27 22 17 15 24 29 27 19 8 3 18 113 283 524 635 542 315 76 31 20 20 23 23 17 7 3 1 0 0
2 2 2 2 3 3 3 4 6 10 13 12 3 2 2 2 2 2 0 0 0 0 0 0 0 0 2 2 3 4 4 4 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 1 2 4 5 4 4 4 4 5 7 9 12 15 16 15 15 16 12 9 7 7 8 5 2 0 0 1 2 5 10 17 18 16 15 16 20 23 20 15 12 8 4 3 4 9 15 25 32 30 45 63 75 82 100 111 145 197 254 294 324 363 349 205 107 52 26 19 18 18 15 15 20 24 21 12 5 8 102 332 560 698 651 446 218 51 26 19 19 21 21 17 6 2 1 0 0
1 2 2 2 2 3 3 4 7 11 14 12 6 4 2 2 3 3 1 0 0 0 0 0 0 0 1 1 2 3 4 4 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 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 3 3 2 2 3 4 7 9 11 13 16 17 15 13 10 8 6 6 7 8 6 4 3 5 7 11 15 19 22 20 17 16 19 22 23 20 19 19 14 9 6 3 3 5 6 5 5 6 9 13 21 36 77 128 183 236 283 311 288 211 96 42 22 13 12 14 15 15 15 16 20 18 11 14 60 255 515 660 647 477 244 103 36 24 22 20 17 13 10 3 2 1 0 0
1 1 1 1 2 2 2 3 6 11 14 14 11 6 3 2 2 2 1 0 0 0 0 0 0 0 0 0 1 2 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 0 0 0 0 0 0 0 0 0 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 3 1 0 0 1 2 3 3 5 8 10 11 13 13 14 13 11 9 7 7 6 6 10 12 13 14 16 19 19 18 14 12 11 13 17 21 21 19 16 11 8 7 6 3 3 3 2 2 1 3 5 8 13 23 43 91 167 263 346 276 163 60 16 9 6 6 8 9 14 15 17 23 26 24 75 193 401 521 510 396 216 91 47 38 41 35 25 18 12 7 3 2 2 1 0
1 1 2 1 2 2 2 3 6 11 16 18 14 9 5 3 3 2 1 1 0 0 0 0 0 0 0 0 0 1 2 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 0 0 0 0 0 0 0 0 0 0 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 1 2 3 5 5 5 6 8 9 12 12 11 9 7 7 8 10 15 16 16 15 14 14 13 12 11 10 10 10 11 13 14 12 9 7 6 7 7 5 3 2 2 3 3 5 5 6 7 9 15 42 115 251 435 311 164 57 9 3 1 1 3 6 10 10 9 11 21 64 198 331 401 355 256 152 66 41 43 55 62 50 27 16 9 5 3 2 1 1 0
1 2 2 2 1 1 2 3 6 11 17 21 17 11 8 5 4 3 2 2 1 0 0 0 0 0 0 0 0 1 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 5 5 5 7 9 12 13 12 9 9 10 12 13 14 13 12 12 15 14 13 13 12 13 14 14 14 17 12 9 7 7 7 8 7 6 4 4 6 8 8 7 4 3 4 5 13 65 217 400 264 130 43 4 0 0 0 1 2 5 5 7 20 60 192 306 331 269 172 102 65 52 50 65 73 68 49 21 11 6 3 2 0 0 0 0
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