Vorticity
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nan -4 -6 -5 -4 -1 2 4 6 7 7 9 11 12 13 15 16 14 13 12 12 12 12 10 7 4 3 3 4 6 8 9 8 8 8 8 9 10 11 11 11 11 9 8 7 6 7 9 11 12 11 10 9 9 9 9 9 9 11 13 15 15 13 11 9 8 8 9 10 10 10 10 10 9 9 10 11 11 11 11 10 8 6 5 6 8 10 12 13 12 11 10 11 11 11 11 12 12 13 14 13 12 10 8 8 9 10 10 11 12 14 14 13 9 5 4 6 9 14 17 16 14 13 13 14 15 14 12 11 9 9 9 9 9 8 8 8 8 10 11 13 13 12 11 10 10 10 11 11 11 10 11 11 11 11 10 10 9 9 9 9 9 10 10 10 10 11 11 10 10 9 8 8 8 8 9 9 10 10 9 9 8 7 6 7 7 8 9 nan
nan -5 -4 -1 2 4 5 6 6 7 8 11 14 17 19 21 22 20 16 12 10 9 8 6 4 3 3 4 6 8 9 9 8 7 7 7 8 9 11 12 13 12 10 9 7 7 6 7 9 9 9 8 8 8 9 10 10 11 12 15 17 17 16 13 11 9 9 10 10 10 10 10 11 10 10 10 10 11 11 11 10 8 7 7 8 10 12 12 12 11 11 12 12 11 9 8 9 11 13 15 14 12 10 8 8 9 10 10 10 11 11 12 11 9 8 8 10 13 17 18 17 15 13 14 15 16 15 13 11 9 8 8 8 8 8 8 8 8 9 11 12 12 11 9 8 7 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 8 8 7 7 7 7 8 8 9 8 8 8 7 7 8 9 10 10 11 nan
nan -1 2 5 7 7 7 7 7 8 10 13 17 22 25 28 28 24 16 10 6 5 5 7 7 8 8 8 9 10 10 10 9 7 6 6 7 9 11 12 14 13 10 9 8 7 7 7 8 8 8 8 8 8 9 9 10 10 12 14 17 18 17 15 13 12 11 12 11 11 10 10 11 11 11 10 9 9 10 10 9 8 8 8 10 12 13 12 11 10 10 10 9 7 6 6 8 12 15 17 17 15 13 12 10 10 10 10 10 10 11 11 12 11 11 12 14 16 18 18 16 15 14 14 16 18 16 14 11 9 7 7 8 8 8 8 7 8 8 10 10 10 10 8 7 7 8 8 9 9 8 8 8 8 8 9 9 9 10 10 10 10 10 9 9 9 9 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 9 11 11 11 11 12 nan
nan 3 6 8 8 8 7 7 8 9 11 14 18 24 28 30 28 21 13 6 3 3 5 9 11 12 12 11 11 11 10 10 9 8 7 6 7 9 11 13 14 13 11 9 8 8 7 7 7 7 8 8 9 9 8 8 9 9 11 13 14 15 15 15 15 14 15 14 13 12 11 10 10 11 11 11 10 10 10 10 10 10 9 10 11 13 13 11 9 9 9 8 8 7 7 9 10 13 15 17 19 18 16 14 12 11 10 10 11 12 12 13 14 14 15 16 17 18 18 16 15 14 14 15 18 19 18 15 11 9 7 6 7 7 7 8 8 8 9 10 10 10 10 9 9 9 10 10 10 9 9 9 9 9 9 9 8 8 9 9 10 9 9 9 9 8 8 8 7 7 7 7 8 8 8 8 8 8 9 9 10 11 11 12 12 12 12 13 nan
nan 6 8 8 8 8 8 8 9 10 11 13 17 21 24 25 22 14 7 4 2 3 6 9 12 13 13 12 11 11 11 10 9 8 9 9 10 11 11 12 12 12 11 10 9 8 8 8 8 8 8 9 9 9 8 7 7 8 9 12 13 13 12 12 13 14 15 16 15 14 13 11 11 11 12 12 12 11 11 12 13 12 13 13 14 15 13 10 8 7 7 8 10 11 11 11 12 12 14 16 17 18 17 15 13 11 10 11 12 13 15 16 16 17 17 17 18 17 16 14 13 13 13 15 18 21 20 17 13 9 6 6 6 7 7 8 9 10 10 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 10 9 9 8 8 9 9 9 9 8 8 7 6 6 7 7 8 8 9 9 9 9 10 11 11 12 13 12 12 11 11 12 13 nan
nan 8 9 9 8 8 9 9 9 10 10 12 14 15 17 16 12 8 5 4 4 4 6 8 10 13 13 13 12 11 11 10 9 9 9 11 12 11 10 9 8 8 10 11 11 10 10 9 9 9 9 9 9 9 8 7 7 7 8 9 11 11 11 11 10 11 12 14 15 16 16 15 14 13 13 13 12 12 12 13 14 14 14 14 15 15 14 12 9 7 7 9 12 13 13 12 11 11 11 13 13 14 14 13 12 11 11 12 13 14 15 16 16 17 17 16 16 15 14 13 11 11 12 14 18 22 22 20 15 10 7 6 7 7 8 9 10 11 12 12 13 13 13 14 13 13 12 12 12 13 13 14 13 13 12 11 10 10 9 9 8 8 8 7 7 6 5 5 5 6 7 8 8 8 9 10 11 12 13 13 13 13 12 11 11 11 13 14 nan
nan 9 9 10 9 9 10 10 10 9 9 11 12 12 12 10 8 8 8 7 6 5 5 6 9 12 14 14 13 12 11 11 11 10 10 12 13 11 9 6 5 5 8 11 13 13 13 12 10 10 9 9 9 9 8 8 8 8 8 8 9 10 11 12 11 10 9 11 13 15 16 16 16 16 16 14 13 12 12 14 14 14 13 13 14 14 15 14 13 11 9 10 11 12 12 11 10 9 8 8 9 9 11 11 11 11 12 12 13 13 13 13 14 15 15 15 14 14 12 11 10 10 11 13 17 21 22 21 17 12 8 8 9 9 10 11 11 12 12 12 13 13 13 14 13 13 13 12 12 13 13 13 13 12 12 11 10 10 9 9 8 7 6 6 6 5 5 5 6 7 8 7 7 7 9 11 13 14 15 15 14 12 11 11 11 12 13 14 nan
nan 9 9 10 11 11 11 11 10 9 9 10 12 13 13 12 11 11 11 10 9 7 5 6 8 11 13 14 13 11 10 10 11 11 12 12 12 11 8 6 4 4 7 11 14 15 15 14 12 11 10 9 9 9 8 8 8 8 7 7 7 8 11 13 13 12 11 11 12 12 12 12 13 15 16 15 14 12 12 12 13 13 12 12 12 13 14 14 14 12 9 8 8 10 11 11 11 9 8 7 8 9 10 11 12 12 13 13 12 11 10 11 13 15 15 15 14 13 11 10 9 8 9 11 14 18 20 21 20 16 12 12 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 9 8 7 6 6 6 5 5 5 6 7 8 8 7 7 8 10 13 15 16 17 16 13 11 10 10 11 12 13 13 nan
nan 10 10 11 12 13 13 12 10 9 10 12 14 16 15 14 13 12 12 12 11 10 8 7 7 8 10 12 12 11 9 9 10 12 13 13 12 10 8 6 5 6 8 12 15 17 17 15 13 11 10 10 10 10 9 9 8 8 7 6 6 7 9 12 15 15 14 12 11 10 9 9 10 12 14 15 14 13 11 11 11 12 12 11 11 12 13 12 10 8 6 6 8 9 12 13 14 14 12 12 11 11 11 12 12 13 13 12 10 7 7 9 13 15 17 16 14 12 10 9 8 7 8 10 13 15 18 20 20 18 15 14 13 13 13 13 12 12 11 11 11 10 11 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 9 8 7 6 6 6 6 6 7 8 9 9 9 8 8 10 12 14 16 16 17 15 12 10 10 11 12 13 13 13 nan
nan 12 13 13 14 13 12 12 11 10 11 14 16 18 17 15 13 11 12 12 12 12 11 9 7 6 8 10 12 11 10 9 9 11 12 13 12 11 9 7 6 7 9 13 15 17 16 15 13 12 11 10 10 11 11 11 11 10 9 7 6 6 8 11 14 16 15 13 11 10 9 9 10 11 12 13 13 12 11 10 10 11 11 11 11 12 13 12 9 6 4 6 9 11 13 15 16 19 19 16 13 11 10 11 12 13 12 11 7 4 3 6 10 14 16 16 14 12 10 8 7 6 7 9 12 14 17 18 18 17 15 14 14 14 14 13 12 12 11 10 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 11 11 10 8 6 5 6 6 7 8 9 10 10 9 9 9 10 12 14 15 15 15 14 13 11 10 11 11 12 12 12 12 nan
nan 15 15 14 14 12 11 10 10 10 11 14 17 18 18 15 12 11 10 10 11 11 11 10 8 7 7 9 11 11 10 10 9 10 10 11 11 11 10 9 7 8 10 13 15 17 16 14 12 11 11 10 11 12 13 13 13 13 11 9 7 6 7 10 13 15 15 14 12 11 11 11 12 12 12 12 12 11 10 11 11 12 12 12 11 12 12 11 9 7 7 10 13 14 13 13 15 18 20 17 13 10 8 10 12 13 14 12 10 5 3 4 7 11 14 15 13 11 10 8 7 6 6 8 11 14 16 17 16 15 14 13 13 14 14 14 13 12 11 9 8 8 8 9 8 8 8 8 8 9 9 9 10 11 11 11 11 11 10 9 7 6 5 6 7 9 10 10 10 9 9 10 12 14 15 15 15 14 13 12 11 11 11 12 12 12 12 11 nan
nan 12 12 11 10 9 8 8 9 10 12 13 15 16 16 16 13 11 10 10 9 9 10 10 9 8 7 7 8 9 10 10 9 8 8 9 10 11 10 10 8 8 9 11 14 17 17 16 14 12 11 10 11 12 14 15 15 14 13 10 8 7 7 9 12 14 15 13 12 10 10 11 13 14 13 12 11 10 11 13 14 15 14 11 10 10 9 9 8 9 12 15 16 15 12 9 9 12 14 13 11 8 8 11 14 15 16 15 13 9 6 6 7 9 12 13 13 11 10 9 7 6 7 9 11 14 16 16 16 14 13 13 13 14 15 15 14 13 12 10 9 9 9 8 8 8 8 8 8 8 9 9 10 10 10 11 11 11 11 10 9 7 6 6 6 8 9 9 9 9 10 12 14 16 16 16 15 14 13 12 12 11 11 11 11 11 11 11 nan
nan 6 7 8 7 7 7 8 9 10 11 12 13 13 14 14 14 13 12 11 10 10 9 9 8 7 6 5 5 7 8 9 9 9 8 8 9 11 11 11 9 8 8 9 11 14 17 17 16 13 11 10 10 11 12 14 14 14 13 11 9 8 8 8 10 12 14 14 12 10 9 10 12 14 14 13 12 12 13 15 16 16 14 11 9 7 7 7 8 11 16 18 17 14 10 5 5 6 8 9 8 7 9 12 15 16 16 15 13 11 9 9 9 10 12 13 12 11 10 9 8 8 8 10 12 14 16 17 16 14 13 13 13 15 15 16 16 15 13 11 10 10 10 10 9 8 8 8 8 8 9 9 9 9 9 10 10 10 11 11 10 9 7 7 6 7 7 8 8 8 10 13 17 18 17 17 15 14 13 12 11 11 10 10 10 11 11 10 nan
nan 4 6 6 7 7 7 8 9 10 11 11 11 12 12 12 13 13 13 12 12 11 10 9 9 8 8 7 5 5 6 7 8 10 10 11 11 11 12 11 10 9 8 8 9 12 14 16 15 14 12 10 9 9 10 11 12 12 12 11 10 9 8 7 8 11 13 15 15 14 12 12 12 13 13 13 13 14 14 15 14 13 12 9 7 6 6 8 11 14 17 17 15 12 8 4 3 4 5 6 7 9 11 14 16 17 17 16 13 11 10 10 10 11 12 13 12 11 10 9 8 9 10 11 13 15 17 17 15 13 12 12 14 16 16 17 17 16 15 13 11 11 12 12 11 10 10 9 9 9 9 8 8 9 9 9 9 9 10 10 10 10 9 8 7 7 7 7 8 9 11 14 17 18 18 17 16 14 12 12 11 10 10 10 10 10 10 10 nan
nan 6 6 7 7 7 7 8 9 10 11 11 10 10 10 11 12 12 12 11 11 11 10 10 11 11 11 10 8 6 5 5 6 8 10 11 11 11 12 12 12 11 10 9 10 11 13 14 14 13 12 11 10 10 10 11 11 11 11 11 11 10 9 7 7 9 12 14 15 15 14 13 12 12 11 11 13 15 15 14 12 11 9 6 5 6 7 10 14 16 16 14 12 10 8 6 4 4 5 7 9 11 13 15 16 17 17 16 14 12 11 10 10 11 12 12 12 11 10 9 9 9 11 12 14 15 16 14 13 11 11 12 14 15 16 16 17 17 16 14 13 13 13 13 12 12 11 11 11 11 10 9 9 10 10 9 9 8 8 9 9 9 9 8 7 7 7 8 9 10 13 15 17 18 18 17 15 13 12 11 11 10 9 9 10 10 10 10 nan
nan 8 8 7 7 7 7 8 8 9 10 9 8 7 7 9 11 13 13 11 9 8 8 9 11 12 12 12 12 10 8 6 5 6 8 9 10 10 11 12 12 12 12 11 11 12 13 13 14 13 13 12 10 10 11 11 11 11 11 11 11 11 10 9 7 8 10 11 13 13 13 12 11 10 9 9 12 15 16 15 13 10 8 5 5 7 10 14 16 15 12 11 9 9 8 7 6 6 7 8 11 12 13 13 14 15 15 15 14 12 12 11 10 11 12 12 11 11 10 9 9 10 11 12 13 14 13 11 10 9 10 11 13 14 14 15 15 16 16 16 15 14 14 13 12 12 13 13 13 13 12 12 12 12 12 11 10 9 9 9 9 9 8 7 7 8 9 10 11 12 14 16 17 17 17 14 13 11 11 11 10 10 10 10 10 10 10 11 nan
nan 9 9 8 8 8 8 7 7 9 10 9 7 5 5 6 9 12 14 14 12 10 9 9 9 10 11 11 12 13 12 9 7 7 8 9 10 10 10 11 11 12 12 12 13 13 13 13 13 13 13 12 11 11 11 11 12 12 11 10 11 11 11 10 8 8 8 9 10 11 11 11 10 8 7 6 9 13 15 15 14 11 9 7 7 10 14 18 18 14 10 8 7 7 8 8 8 8 8 9 11 12 12 11 11 11 11 12 12 11 11 11 10 11 12 12 12 11 10 9 10 11 11 13 13 13 11 9 8 8 9 10 12 12 12 13 13 14 14 15 15 14 14 13 13 13 14 14 15 14 14 14 13 13 13 12 12 11 11 11 10 10 9 9 10 11 12 13 14 14 15 16 16 15 14 12 11 10 10 10 10 10 10 10 10 10 10 11 nan
nan 9 10 10 10 9 7 6 5 7 9 8 6 4 3 4 7 10 13 15 15 13 11 10 10 10 9 10 11 12 13 12 10 9 10 10 10 10 10 10 11 12 12 12 13 13 13 13 12 13 12 12 11 11 11 11 12 12 11 10 10 10 11 11 10 9 9 9 9 9 10 10 10 8 6 5 5 8 10 10 11 11 10 10 11 12 15 19 20 17 12 8 6 6 7 9 10 10 10 10 12 13 13 12 12 11 10 9 9 9 9 10 10 11 12 12 12 12 11 10 10 11 12 13 14 12 10 8 7 7 8 9 10 10 11 11 11 12 12 12 13 13 13 13 13 14 15 15 15 15 15 14 14 14 14 14 13 12 12 12 12 12 12 13 14 14 15 15 15 15 15 15 15 14 12 11 10 10 9 9 10 10 11 11 10 10 10 11 nan
nan 11 12 13 13 11 7 3 2 3 6 7 6 5 4 5 7 8 10 12 14 14 13 12 11 10 9 9 9 10 11 12 12 12 12 12 11 10 10 9 10 11 11 12 13 13 13 13 12 12 12 11 11 10 11 11 12 12 11 11 10 10 11 11 11 11 10 9 9 9 10 10 10 9 7 5 4 4 5 6 8 10 13 15 15 14 14 14 15 14 12 9 7 6 7 9 10 11 12 13 15 16 16 16 15 14 12 10 9 9 9 9 10 11 12 12 13 13 11 10 11 12 13 14 13 12 10 9 8 7 7 7 8 9 9 10 10 10 11 11 12 12 13 13 13 14 14 14 14 14 14 14 14 14 15 15 14 13 13 13 13 13 13 14 14 15 15 15 15 15 15 15 14 13 11 10 9 9 10 10 10 11 11 10 10 10 10 11 nan
nan 11 12 14 16 14 9 4 0 1 5 7 7 7 7 8 9 9 9 10 11 13 13 13 12 11 9 8 8 8 10 11 12 13 14 14 13 12 10 9 9 10 10 11 12 13 14 14 13 13 12 11 10 10 10 11 12 12 12 11 11 11 11 11 11 11 11 10 9 9 9 10 11 10 9 7 5 5 6 7 10 13 16 18 18 15 13 10 9 9 8 8 8 7 7 7 8 10 12 15 17 18 19 19 18 17 15 13 11 10 10 9 10 10 11 13 13 13 12 11 12 12 13 14 13 12 10 8 7 7 7 7 8 8 9 9 10 10 10 10 11 11 11 12 12 12 13 13 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 15 14 14 14 14 14 14 14 13 13 12 11 10 10 10 11 11 11 11 10 10 10 10 10 11 nan
nan 11 12 15 17 16 12 6 3 2 5 7 8 9 9 10 11 11 10 10 10 11 12 13 12 11 10 8 7 7 8 9 11 13 15 15 15 14 12 10 9 9 10 11 12 13 14 15 15 14 13 12 10 10 10 11 12 12 12 11 11 12 11 11 11 11 11 11 10 9 10 10 11 12 12 11 10 11 12 14 15 16 16 17 16 15 14 11 9 7 7 7 7 7 6 6 7 8 11 15 17 19 19 20 20 19 17 15 13 11 10 10 10 10 11 12 13 13 12 12 12 13 14 14 13 11 10 9 8 8 8 8 8 9 9 10 10 10 10 10 11 11 11 11 11 11 12 12 13 13 14 14 13 13 13 13 13 14 14 15 15 15 15 15 14 14 13 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 nan
nan 10 12 14 16 15 13 9 6 5 6 8 8 9 10 12 14 15 14 12 11 11 12 12 12 11 10 8 6 6 6 7 9 11 13 15 15 15 14 12 11 10 9 10 11 13 14 15 15 14 13 12 11 10 11 12 13 13 12 11 11 12 13 13 12 12 12 12 11 11 11 11 12 13 13 14 14 15 16 17 17 16 13 11 10 10 11 11 11 10 10 9 9 7 6 6 6 8 11 15 17 18 19 19 19 19 17 15 13 12 11 10 10 10 11 12 13 13 12 12 13 13 13 13 12 11 11 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 13 13 12 13 13 13 13 13 14 14 14 14 14 13 13 13 12 12 12 12 11 11 11 11 11 12 12 12 12 11 11 11 11 11 10 10 10 10 nan
nan 9 11 12 14 14 12 10 8 7 7 7 7 8 9 13 16 16 15 14 12 11 11 12 12 11 10 9 7 5 5 5 6 8 10 13 15 16 16 15 13 12 10 10 10 12 13 14 13 13 12 10 10 10 11 12 15 15 13 12 11 12 13 14 13 12 11 11 12 12 13 13 13 13 13 13 13 13 15 16 17 15 11 6 3 3 5 9 11 13 13 13 11 9 7 7 9 10 13 15 17 18 18 19 18 17 16 15 13 12 10 9 9 10 11 12 13 13 13 13 13 13 13 12 11 12 12 11 11 10 10 10 10 10 10 10 10 9 9 9 9 10 11 11 11 11 10 10 10 11 11 11 12 12 13 13 13 13 13 13 12 12 12 12 11 11 11 12 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 nan
nan 9 10 11 13 13 12 11 10 9 9 9 8 7 8 11 15 15 15 13 11 11 10 11 11 11 10 9 8 6 5 5 5 7 9 11 14 16 17 17 16 14 12 11 10 12 12 13 12 11 10 9 9 9 10 12 15 15 14 13 11 10 11 12 13 12 11 11 11 13 14 14 14 14 13 13 13 12 13 14 16 15 11 6 3 2 4 7 10 12 13 14 12 10 9 10 12 14 16 17 18 18 18 18 17 16 15 14 13 11 10 9 9 10 10 11 12 13 14 14 14 14 13 12 11 12 12 12 11 11 11 10 10 9 9 9 9 9 9 9 9 9 10 10 11 10 10 10 9 10 10 11 11 12 12 12 12 12 12 12 12 12 11 11 11 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 nan
nan 9 9 11 12 13 13 13 13 13 13 11 10 9 9 10 12 14 14 13 12 11 10 10 10 10 9 9 8 7 6 6 6 7 9 12 14 17 18 18 17 16 14 12 11 12 12 13 13 12 10 9 8 8 9 11 14 15 14 13 12 11 11 11 11 11 11 11 11 12 12 12 13 14 15 15 14 13 12 13 13 13 11 8 6 5 6 8 10 11 12 13 12 11 11 12 13 15 17 18 18 19 19 19 18 17 15 13 12 11 10 9 9 9 10 11 12 13 13 14 14 14 13 13 12 12 12 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 11 11 10 10 10 10 10 11 11 11 12 12 12 13 13 12 12 11 11 11 11 11 11 11 12 nan
nan 8 8 8 10 13 15 16 17 16 15 14 13 11 10 10 11 12 13 13 13 11 10 10 9 9 9 9 8 8 8 7 7 8 10 12 14 16 18 18 18 17 15 14 13 13 13 14 14 13 11 10 9 8 9 11 13 13 13 13 13 13 12 11 10 10 10 10 10 9 9 10 11 13 16 15 13 10 9 9 10 10 10 9 8 8 8 8 9 10 11 11 12 12 13 14 14 15 16 17 18 19 20 20 19 18 16 13 11 10 9 9 8 9 10 11 12 13 13 13 13 13 14 14 14 13 12 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 10 11 11 11 12 12 12 12 12 12 11 11 10 10 10 11 11 11 11 12 12 12 13 13 13 12 12 11 10 10 11 11 11 12 12 nan
nan 8 6 7 8 12 15 17 18 17 16 15 13 12 11 10 10 11 12 13 13 12 11 10 9 8 9 9 9 9 9 9 9 9 10 11 13 15 16 17 17 16 15 14 14 14 15 15 15 14 13 12 11 10 10 11 12 12 11 12 13 14 13 11 10 9 10 9 9 9 8 8 9 12 14 13 11 8 6 7 8 9 10 9 8 8 8 8 8 9 11 12 13 13 14 14 14 15 15 16 17 18 19 20 19 18 15 13 10 9 8 8 8 8 9 11 12 13 13 13 13 13 14 15 14 14 13 12 11 10 10 9 10 10 10 10 10 10 10 9 9 9 10 11 11 11 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 10 10 11 11 12 12 12 12 12 12 13 13 13 12 11 11 10 11 11 12 12 12 12 nan
nan 9 8 8 9 11 14 16 17 16 15 14 13 12 11 9 9 10 11 13 14 13 12 11 10 9 9 10 10 11 11 10 10 10 11 11 12 14 15 16 16 16 15 15 15 15 15 15 15 14 13 12 11 11 12 13 13 12 12 12 13 13 12 10 9 9 10 10 11 11 11 10 9 10 11 10 9 8 7 8 9 10 9 8 7 8 9 10 11 12 14 15 15 15 14 13 14 14 15 15 16 17 17 17 17 16 14 12 10 9 8 8 8 8 10 11 13 13 14 14 14 14 14 15 14 13 12 12 11 11 11 10 10 10 10 10 10 10 10 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 11 12 12 12 11 11 11 11 11 11 11 11 12 12 13 13 13 12 12 12 11 11 11 11 11 12 13 13 13 12 12 nan
nan 9 8 9 10 11 12 14 15 15 15 14 13 12 10 9 9 9 10 11 12 13 13 12 12 11 11 11 11 12 11 11 11 12 12 12 12 13 14 14 15 15 15 15 15 15 14 14 14 13 12 10 10 11 13 14 13 13 13 12 13 12 11 10 9 9 10 12 14 14 14 13 11 10 9 8 8 7 7 8 8 8 8 7 6 7 10 12 14 15 16 17 17 17 15 14 14 14 14 15 15 15 15 14 13 12 11 11 9 8 8 8 8 9 10 11 13 14 14 14 14 14 14 14 13 13 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 13 13 13 12 11 10 10 11 11 12 13 13 13 13 13 12 11 nan
nan 9 8 9 10 11 11 13 14 14 14 14 13 12 11 9 9 9 10 10 11 12 13 13 13 13 13 12 12 12 12 12 12 13 13 12 12 12 12 13 13 14 14 14 14 14 13 13 12 11 10 9 9 10 12 14 13 12 12 12 12 11 9 9 9 10 12 14 15 14 13 12 10 8 7 7 7 7 8 9 8 8 7 6 7 8 10 11 13 15 16 18 19 19 18 17 15 14 14 14 14 14 15 14 12 11 10 9 9 8 8 8 8 9 11 12 13 14 14 15 14 14 13 13 12 12 13 13 13 12 12 11 11 10 10 10 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 12 12 13 13 12 12 12 12 12 13 12 11 10 10 10 11 12 13 14 14 14 13 12 11 11 nan
nan 10 9 9 9 10 11 12 13 15 15 14 13 12 11 10 9 9 9 10 11 12 12 13 14 14 14 14 13 12 12 12 13 14 14 13 12 10 11 13 13 14 14 13 13 13 13 12 11 10 10 10 10 11 12 12 11 10 11 11 11 9 8 8 9 11 13 13 13 11 10 9 8 8 9 9 9 9 9 9 8 8 7 8 9 10 10 11 12 14 17 19 20 20 19 18 16 15 14 14 14 14 14 14 13 12 11 9 9 8 8 8 8 10 12 13 14 14 15 15 14 13 13 12 12 12 13 13 12 12 12 11 11 10 10 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 11 11 11 12 12 12 13 13 13 13 13 12 12 12 11 11 11 10 10 10 11 11 12 14 14 14 14 13 11 10 10 nan
nan 10 10 9 9 9 9 10 11 14 16 16 15 14 12 10 9 9 10 11 11 11 12 12 13 14 14 14 13 12 12 12 14 15 15 14 12 11 12 13 15 15 15 13 13 12 12 12 11 11 11 11 12 13 13 12 10 9 8 9 9 8 9 10 10 11 13 13 12 10 8 7 6 8 10 11 11 10 9 8 7 7 8 9 11 12 11 11 11 13 17 19 20 19 18 17 16 15 14 14 14 14 14 14 14 14 13 12 10 9 8 8 9 10 12 14 15 15 16 15 14 13 12 12 12 12 13 12 12 12 11 11 11 11 10 11 11 11 11 10 10 10 10 9 10 10 10 11 11 11 10 10 10 10 10 10 11 11 12 12 13 13 13 13 12 12 12 12 12 11 11 11 10 10 10 10 10 10 11 13 14 14 14 14 12 11 10 9 nan
nan 11 11 10 9 8 7 7 8 10 14 16 17 15 13 12 11 10 11 11 11 11 11 11 12 13 14 14 13 13 12 13 15 15 15 14 11 11 12 14 16 16 16 14 13 12 11 11 11 11 11 12 12 13 13 12 11 9 9 9 9 10 12 12 13 12 12 12 12 11 9 7 6 6 9 10 11 11 9 8 7 6 7 9 12 12 11 10 10 11 15 18 18 17 16 15 15 14 14 14 14 14 14 14 15 15 15 13 12 10 9 9 10 12 13 14 15 16 16 15 14 13 13 12 12 12 12 12 12 12 11 12 12 11 11 11 11 11 11 10 10 10 9 9 9 10 10 10 10 10 10 10 10 11 11 11 12 12 13 13 13 13 13 13 12 12 11 11 10 10 11 11 11 9 8 8 9 10 11 12 13 13 13 13 12 11 11 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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
11 13 11 8 7 6 5 5 5 6 6 5 5 5 5 5 4 4 4 5 7 5 4 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 28 48 51 39 13 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 2 44 97 119 94 51 20 5 0 0 0 0 0 0 0 0 0 0 0 1 10 56 88 106 112 116 113 57 19 7 15 31 51 74 96 111 113 104 90 76 63 50 32 15 4 0 0 0 0 0 1 4 12 36 75 96 89 57 24 8 4 4 4 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 45 243 630 1105 1345
11 12 10 8 7 6 5 5 4 5 6 5 5 5 5 5 5 4 4 6 8 8 4 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 16 22 16 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 4 0 0 4 26 51 60 45 21 6 0 0 0 0 0 0 0 0 0 0 0 0 2 16 38 65 105 163 236 197 107 50 34 34 48 70 92 104 101 85 73 61 51 41 31 20 9 2 1 1 0 2 7 19 41 77 131 151 144 117 79 56 43 33 25 18 12 7 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 15 121 456 921 1208
10 11 10 8 7 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 7 9 7 4 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10 16 10 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 6 6 4 0 0 0 2 15 28 29 15 4 0 0 0 0 0 0 0 0 0 0 0 0 1 1 9 24 55 113 205 317 274 183 104 53 32 36 51 71 82 70 59 56 52 45 36 28 17 10 14 26 38 60 86 109 132 160 191 173 140 104 72 56 58 59 55 48 40 29 17 8 2 0 0 0 0 0 0 0 0 0 0 0 0 2 49 371 813 1100
10 11 11 8 7 6 6 5 5 5 6 6 6 5 5 5 5 4 4 4 6 8 9 6 3 1 1 1 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 2 2 0 0 1 26 67 88 77 38 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 6 4 1 0 0 0 0 0 13 29 36 24 5 1 0 0 0 0 0 0 0 0 0 1 1 1 0 1 7 40 114 203 336 400 313 201 107 49 23 29 49 63 63 58 60 61 61 61 64 61 61 89 135 180 231 266 274 264 248 229 182 134 95 70 60 66 79 86 85 77 63 45 28 15 6 2 1 1 1 0 0 0 0 0 0 0 1 80 417 818 1080
10 12 10 8 7 6 5 5 5 5 6 6 6 6 5 5 4 4 3 4 5 7 9 8 4 2 1 1 1 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 28 36 15 0 11 53 124 157 145 94 34 6 1 0 1 2 4 3 3 2 0 0 0 0 0 0 0 0 1 3 9 27 22 16 8 2 0 0 0 0 0 0 5 17 27 26 8 3 1 0 0 0 0 0 0 0 0 1 0 0 26 100 241 469 693 648 460 457 339 247 185 141 104 112 131 125 101 74 67 81 108 148 195 223 227 262 313 358 385 367 326 304 281 238 187 143 113 97 89 85 89 97 101 101 98 89 74 56 37 21 12 10 9 6 3 0 0 1 4 10 32 222 583 917 1091
10 12 9 8 7 6 5 4 4 5 6 6 5 5 5 4 3 3 3 3 4 6 8 8 6 2 2 1 1 0 0 0 3 10 13 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 8 40 95 153 138 66 35 66 125 169 177 147 90 37 15 9 12 22 37 47 40 20 3 4 12 10 4 0 0 1 6 31 77 138 117 66 25 3 1 2 6 2 0 0 0 6 13 16 13 12 6 2 1 0 0 0 0 1 4 13 39 112 301 612 1029 1509 1895 1538 951 618 375 272 241 222 207 244 294 291 267 248 257 284 304 331 361 384 382 379 379 371 342 283 230 232 247 245 221 181 150 134 124 111 104 103 109 116 121 123 119 107 87 64 45 37 30 23 17 7 3 29 66 114 201 440 785 1028 1078
11 11 9 8 7 6 5 4 4 5 6 6 6 5 5 4 3 2 1 2 3 4 6 6 5 3 2 1 0 0 0 0 4 19 23 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 7 63 150 236 263 175 114 94 108 146 189 198 159 89 37 37 48 67 91 112 107 85 75 85 102 91 62 33 16 11 36 128 216 266 221 131 55 15 4 9 19 12 4 0 1 7 15 18 20 24 24 13 4 1 0 0 0 1 13 68 206 486 839 1186 1504 1806 2352 1932 1278 734 397 251 200 177 182 225 276 298 321 353 392 412 402 394 385 372 353 321 282 240 199 161 134 181 241 277 270 231 191 166 148 128 105 90 95 110 128 143 150 143 124 103 91 89 90 104 140 199 274 379 437 474 538 694 932 1064 1031
11 10 9 8 6 5 4 4 4 5 6 6 5 5 4 3 2 1 1 1 2 3 5 4 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 1 2 1 1 0 0 0 0 0 1 7 76 166 238 268 253 163 104 87 111 173 219 196 127 66 69 101 133 155 169 181 195 212 233 246 228 166 99 52 52 110 261 305 269 187 115 76 44 22 12 15 20 19 13 7 8 18 18 24 31 34 23 10 3 0 0 0 0 16 130 408 849 1067 1036 937 1016 1678 1331 836 404 160 98 73 65 81 114 149 177 210 246 280 306 318 316 308 298 284 267 234 187 140 110 119 218 274 299 295 264 224 197 170 142 115 93 87 96 119 151 181 184 174 160 154 166 198 250 326 439 604 713 780 764 750 828 962 1003 986
11 10 9 8 6 4 3 3 4 5 6 6 6 5 3 2 1 1 0 0 0 1 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 1 2 1 0 0 0 0 0 0 2 12 39 106 174 196 186 159 121 85 67 85 142 213 211 140 84 93 155 222 248 242 233 251 257 265 266 242 185 117 78 101 187 316 279 206 134 89 75 59 33 13 7 15 20 18 12 8 13 15 22 27 29 26 15 4 0 0 0 0 7 91 359 808 995 621 311 312 644 430 249 115 38 8 8 8 18 36 59 87 120 153 181 198 201 207 221 238 254 263 250 215 174 155 189 286 322 329 314 285 250 227 191 156 129 114 104 103 118 152 204 230 243 234 222 236 309 437 579 693 764 831 910 902 866 865 920 947 1036
12 12 10 8 7 5 3 3 4 5 6 5 5 4 3 1 0 0 0 0 0 0 1 1 1 1 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 13 47 97 158 207 195 158 131 126 105 78 78 114 173 208 141 91 99 175 299 353 328 275 234 190 171 162 149 121 86 81 129 208 270 200 122 74 54 53 51 24 8 2 2 4 3 2 2 5 9 11 12 15 19 17 8 2 0 0 0 0 10 197 534 803 468 143 47 99 39 39 39 22 2 2 1 2 5 13 28 52 78 102 117 122 120 138 162 189 212 223 218 215 226 264 333 369 367 344 311 279 254 209 174 153 137 123 115 128 173 242 289 303 281 258 276 381 589 756 806 761 749 825 873 891 900 927 993 1163
12 12 10 10 8 6 4 4 5 5 6 6 5 4 2 1 0 0 0 0 0 0 0 0 0 1 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 1 7 28 74 135 198 244 247 210 208 210 176 121 87 93 129 169 135 88 86 164 311 418 391 311 218 133 92 76 66 57 53 68 129 189 195 118 53 29 30 40 41 16 9 4 1 0 0 0 0 1 3 4 9 16 22 25 20 5 0 0 0 0 0 140 358 507 310 70 1 1 7 22 30 26 18 12 4 4 2 3 7 16 26 35 42 49 62 74 86 102 123 146 168 192 224 266 312 350 354 336 305 274 252 222 200 180 161 141 125 131 180 261 332 326 279 242 258 364 580 766 842 784 650 652 771 880 945 979 1030 1181
13 13 12 10 8 5 4 4 5 6 6 6 6 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 1 2 3 4 11 27 51 72 121 188 249 280 250 251 235 195 141 96 83 99 125 132 102 92 172 313 448 460 354 233 138 79 47 30 22 23 35 75 114 102 53 18 13 26 40 41 20 21 13 6 1 0 0 0 0 0 2 5 11 15 14 8 1 1 1 0 0 0 60 135 132 6 3 0 1 11 35 59 57 38 20 10 5 2 3 7 12 17 17 15 14 14 14 15 22 35 55 81 110 146 183 218 246 256 244 221 195 177 170 168 167 161 147 129 128 176 248 305 293 234 192 203 286 439 582 717 759 697 609 655 826 960 1010 1005 1054
10 11 12 11 7 4 4 4 5 7 7 7 6 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 0 0 0 0 1 6 9 13 17 38 65 75 63 76 154 241 287 271 243 194 155 126 99 84 87 104 123 128 126 199 329 458 511 398 276 177 103 50 22 8 5 8 17 36 30 17 8 10 17 20 19 17 23 16 8 3 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 23 44 51 28 12 6 2 2 6 12 18 22 22 14 6 1 0 0 1 3 8 19 37 69 101 125 137 134 123 105 88 78 78 87 99 112 122 125 127 171 220 247 230 174 131 132 183 269 365 507 596 611 571 583 770 921 979 959 956
7 7 8 7 5 3 3 4 6 7 8 7 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 0 0 0 0 0 0 0 0 0 0 1 5 26 42 52 56 73 107 99 80 87 164 267 313 305 266 195 144 116 96 88 99 117 132 146 160 202 316 447 518 451 322 224 139 68 23 6 1 0 0 4 5 6 6 7 8 5 5 7 10 8 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 1 7 18 29 10 3 1 1 5 11 15 18 21 29 17 8 2 0 0 0 0 0 1 6 28 57 76 79 66 44 31 23 20 22 29 41 58 79 103 128 157 192 210 196 150 105 107 156 240 339 448 522 558 574 613 781 885 924 932 967
8 9 11 7 4 3 4 6 7 8 8 8 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 0 0 0 0 0 0 0 0 0 0 0 10 32 73 105 113 108 110 143 122 110 134 200 300 354 361 333 280 213 152 114 104 125 159 170 175 180 196 280 404 485 468 356 253 157 81 31 7 3 1 0 0 2 4 4 4 3 2 3 5 6 3 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 2 8 14 6 2 1 1 3 6 9 9 12 18 10 4 1 0 0 0 0 0 0 2 14 46 68 67 44 17 9 5 4 6 9 17 29 47 69 90 109 140 169 183 170 140 165 228 309 385 444 490 529 566 619 752 811 851 915 1024
9 9 8 6 4 2 4 6 9 9 8 6 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 2 44 97 147 173 152 132 135 154 122 102 124 189 284 365 408 426 410 349 251 173 138 148 183 185 195 201 213 263 362 434 428 344 238 154 88 41 13 5 2 1 1 2 2 2 2 1 1 2 3 4 3 4 5 6 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 2 4 7 3 1 0 0 1 2 4 7 7 2 0 0 0 0 0 0 0 0 2 10 41 71 70 46 19 8 4 2 3 4 7 13 27 49 74 99 133 171 205 228 225 268 316 358 389 417 457 509 573 647 737 752 828 942 1052
10 9 8 6 4 2 4 7 9 9 7 5 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 2 7 86 152 185 178 130 116 125 129 101 73 87 143 232 328 419 496 508 456 356 244 181 160 163 159 173 195 225 278 357 407 374 304 228 153 93 49 21 8 5 4 3 3 2 2 2 2 2 1 1 3 5 7 8 7 5 2 1 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 1 3 8 8 3 0 0 0 0 0 0 0 0 0 5 24 53 60 45 21 7 2 2 3 4 4 6 12 35 74 120 174 232 284 319 323 330 334 338 349 378 444 526 612 689 743 808 900 992 1057
9 10 9 8 6 3 4 6 8 9 8 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 2 19 83 149 162 135 95 96 109 98 77 61 71 119 196 295 409 526 524 454 352 241 183 153 134 120 115 140 189 256 334 397 348 288 223 152 92 52 27 13 8 5 3 2 2 3 2 2 2 2 1 2 4 6 8 7 3 1 1 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 1 3 7 11 8 3 0 0 0 0 0 0 0 0 0 2 9 26 43 33 14 4 0 3 6 7 7 6 9 20 42 77 134 210 283 336 349 328 313 309 324 365 442 545 641 723 793 863 956 1015 1003
7 8 9 8 5 4 4 5 7 7 6 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 1 22 77 160 158 109 76 94 133 105 80 69 74 97 161 274 403 511 465 362 252 167 128 123 105 85 75 83 127 202 292 366 339 281 206 134 79 51 36 23 13 8 3 1 1 1 1 1 1 0 0 1 3 5 6 6 3 1 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 3 8 11 7 2 0 0 0 0 0 0 0 0 0 1 6 19 58 40 16 5 1 3 6 8 8 9 14 15 14 17 32 69 113 170 229 265 287 306 332 376 450 553 663 775 885 994 1043 989 834
4 5 6 6 5 4 4 5 6 6 4 2 1 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 59 147 227 228 133 75 78 115 98 79 75 79 81 92 211 330 397 367 247 142 77 61 67 68 54 38 35 56 118 213 298 323 271 177 101 58 46 45 36 25 15 5 2 0 0 0 0 0 0 0 0 2 3 4 5 4 2 1 0 0 0 0 0 0 0 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 1 3 6 4 1 0 0 0 0 0 0 0 0 0 2 9 34 106 76 38 12 1 1 4 6 9 15 24 26 22 13 4 0 1 17 55 117 207 286 347 402 469 584 718 846 955 1025 1005 842 604
3 3 4 4 3 4 5 5 6 6 4 2 1 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 1 5 131 209 252 245 161 63 25 33 49 40 45 60 72 72 135 211 267 266 180 86 40 28 23 27 25 18 13 12 34 97 178 236 227 136 68 35 32 38 42 37 26 13 5 2 1 0 0 0 0 0 0 0 0 1 2 2 2 1 1 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 4 4 3 2 0 0 0 0 2 2 1 0 0 0 0 0 0 0 0 0 5 26 76 164 126 68 22 0 0 2 5 14 27 38 38 30 19 8 0 0 0 14 55 134 247 355 437 512 629 754 872 955 972 884 604 363
4 3 4 4 3 3 4 6 7 7 5 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 29 110 122 139 140 104 14 7 13 18 13 10 11 15 18 28 89 145 182 178 134 92 48 30 33 17 8 3 1 2 19 59 102 121 83 43 23 17 21 32 35 33 25 15 8 2 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 2 3 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 5 5 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10 61 133 192 145 73 23 0 0 0 1 19 39 49 39 22 10 3 0 0 0 9 37 94 190 310 462 603 709 792 855 871 809 639 360 187
4 4 5 5 4 3 4 6 7 7 5 1 1 1 1 2 2 1 1 0 0 0 0 0 0 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 8 11 19 31 35 35 36 28 7 10 16 12 6 2 0 0 0 1 13 38 92 163 226 245 188 162 128 56 16 3 0 0 1 7 16 23 21 14 9 4 6 16 29 29 24 15 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 11 15 14 8 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 17 100 149 147 90 35 10 0 0 0 1 28 49 52 34 9 2 0 0 0 0 4 17 49 105 199 375 552 678 737 738 699 593 418 197 102
4 3 4 5 2 2 5 6 6 5 3 1 1 1 1 2 2 1 1 1 0 0 0 0 0 0 1 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 11 7 2 2 3 2 2 2 7 21 12 4 1 0 0 0 0 0 2 21 76 162 258 310 285 194 89 24 4 0 0 0 0 0 0 1 3 5 4 5 8 14 12 7 3 0 0 0 0 0 0 0 0 0 0 0 0 1 4 9 15 20 25 32 38 34 21 11 4 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 12 34 89 107 87 40 4 1 0 0 0 1 27 41 39 22 2 0 0 0 0 0 1 5 18 50 156 256 371 478 546 571 553 454 301 152 78
4 4 4 4 0 2 4 6 7 6 4 2 1 1 2 2 2 2 2 1 1 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 1 3 8 5 3 1 0 0 0 2 2 1 1 1 0 1 0 1 1 1 1 0 11 42 93 146 132 83 38 11 0 0 0 0 0 0 0 0 1 4 13 24 22 13 4 1 0 0 0 0 0 0 1 4 7 8 6 7 15 27 42 55 66 71 70 70 83 90 64 35 16 6 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 4 20 51 58 41 24 9 0 0 0 0 0 1 15 25 25 15 0 0 0 0 0 0 0 3 16 55 151 237 301 363 427 485 482 381 246 137 66
4 5 5 4 1 0 2 4 5 5 3 2 1 1 2 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 1 1 1 2 1 0 0 0 0 1 0 0 0 0 0 0 0 1 2 1 0 0 0 0 1 2 5 14 11 4 0 0 0 0 0 0 0 0 0 0 0 0 0 3 4 2 0 0 0 0 0 0 1 12 30 50 62 51 46 54 73 98 121 136 139 126 105 101 94 72 52 38 24 11 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 2 8 12 13 15 10 4 0 0 0 0 0 0 1 5 12 16 12 0 0 0 0 0 0 0 0 1 23 94 197 281 345 398 444 436 322 198 105 41
5 6 6 4 1 1 3 3 4 4 3 1 1 1 2 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 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 6 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 30 65 103 132 100 76 62 66 87 120 149 161 150 120 83 61 55 57 57 48 35 18 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 3 12 14 11 4 1 0 0 0 0 0 0 0 0 1 5 12 9 0 0 0 0 0 0 0 0 0 7 35 111 204 286 343 365 327 222 127 58 16
6 7 6 5 3 2 3 3 3 2 1 0 1 1 1 1 1 1 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 1 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 12 24 47 76 97 82 72 64 60 61 75 101 120 124 109 85 69 57 50 45 40 41 37 24 13 6 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 1 4 3 2 1 0 0 0 0 0 0 0 0 0 0 2 7 17 16 5 1 0 0 0 0 0 0 0 9 44 117 196 242 232 151 89 45 17 3
8 7 6 4 0 2 3 2 2 2 1 1 0 1 1 1 1 1 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 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 2 0 0 4 11 19 23 13 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 13 20 21 19 25 43 71 91 117 122 109 91 82 83 88 89 83 77 59 34 13 10 15 18 17 12 8 8 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 44 55 30 8 2 0 0 0 0 0 0 3 13 46 106 138 116 44 16 6 2 0
8 8 7 4 1 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 1 1 0 0 0 0 0 0 0 1 1 2 3 1 0 0 0 0 0 0 0 0 0 0 1 5 10 23 20 11 2 9 31 62 81 70 37 13 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 12 15 24 32 41 55 101 144 158 144 111 87 83 88 90 83 58 24 1 0 1 3 4 3 3 4 2 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 50 63 44 17 2 0 0 0 0 0 0 0 3 15 56 93 84 34 6 1 0 0
8 9 8 5 3 2 1 1 1 1 0 1 1 1 1 1 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 4 3 2 1 1 2 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 6 15 31 38 51 66 70 78 116 140 135 102 56 20 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 9 25 46 52 57 79 113 142 150 137 108 99 101 97 73 36 11 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 25 37 34 19 0 0 0 0 0 0 0 0 1 3 11 66 74 41 10 2 0 0
9 9 8 6 3 2 2 2 2 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 1 1 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 10 14 20 31 52 84 141 173 169 146 119 95 67 35 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 15 42 59 64 67 70 83 109 123 112 83 71 57 36 10 2 1 3 7 5 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 14 19 13 0 0 0 0 0 0 0 0 0 0 2 41 53 42 20 4 1 1
9 9 8 7 4 2 1 2 2 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 1 2 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 2 4 4 7 14 35 74 115 117 114 136 176 162 82 10 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 33 63 72 67 60 63 72 66 49 28 17 10 6 4 3 11 13 11 7 5 7 10 8 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 15 17 11 3 0 0 0 0 0 0 0 0 1 9 24 31 24 3 1 2
10 11 10 7 5 1 2 2 2 1 1 0 0 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 2 2 1 2 2 1 1 2 1 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 1 1 1 1 1 3 13 30 35 40 49 62 79 79 44 12 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 19 42 62 74 80 82 72 44 20 5 0 3 5 6 8 24 17 9 5 10 26 43 33 5 1 0 5 11 14 9 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 17 49 83 93 45 15 3 0 0 0 0 0 0 1 16 29 30 12 6 3
10 12 11 8 4 1 2 1 1 0 0 0 0 0 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 3 1 0 1 1 1 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 1 2 4 7 6 6 13 37 26 10 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 17 46 66 77 85 94 56 24 6 0 3 6 6 6 10 15 19 25 38 66 103 69 19 4 1 16 36 49 44 25 13 5 2 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 0 0 0 0 0 0 0 0 9 39 101 169 163 100 40 6 0 0 0 0 1 6 26 51 59 46 27 14
10 11 10 7 3 1 1 0 0 0 0 0 0 1 2 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 2 1 0 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 2 2 1 0 1 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 25 42 49 51 48 10 3 1 0 1 3 8 26 47 60 68 74 87 113 155 88 32 8 2 23 54 78 84 72 49 28 13 7 10 13 12 11 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 1 5 46 120 197 172 86 20 0 0 0 1 6 16 42 79 95 89 69 45
11 10 8 6 3 2 2 1 0 0 0 0 0 1 2 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 2 2 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 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 1 6 13 20 29 29 11 4 1 0 2 7 24 80 119 120 106 99 107 124 142 66 25 12 18 36 59 77 88 91 67 43 24 15 20 47 58 52 40 24 11 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 2 24 74 141 158 101 38 0 0 0 4 15 32 56 79 90 88 74 50
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9 9 7 5 2 1 1 0 0 0 0 0 0 0 1 2 2 2 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 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 1 1 5 5 2 0 2 9 28 62 81 66 39 16 10 26 59 61 19 17 45 77 91 61 51 49 46 32 18 12 10 12 20 20 16 10 5 2 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 7 7 12 20 34 62 116 139 150 149 128 51 16 2 2 8 24 38 41 33 20 15 11 7 3
6 5 4 3 2 1 1 0 0 0 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 1 2 2 2 1 1 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 5 1 0 1 2 12 12 7 3 5 13 23 31 22 14 7 4 7 18 55 54 26 26 46 61 62 49 52 40 29 19 12 10 10 11 13 11 9 6 3 0 0 1 2 3 3 3 3 3 3 0 0 0 0 0 0 0 0 1 8 39 77 109 123 136 165 222 297 286 221 147 75 8 2 8 17 26 34 33 25 13 5 3 1 1 0
2 2 2 1 1 1 1 0 0 0 0 0 0 0 0 1 2 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 0 1 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 1 2 4 3 2 1 2 6 14 19 17 11 10 14 20 26 25 18 9 3 4 6 6 2 0 1 2 3 4 9 12 15 24 32 31 25 26 46 39 28 18 13 13 16 17 15 11 7 4 3 4 3 5 6 5 5 8 12 15 14 4 2 0 0 0 0 0 0 2 11 69 150 239 322 410 465 463 409 297 165 73 19 1 1 23 42 48 36 17 7 2 0 0 0 0 0
1 2 2 2 2 1 1 1 0 0 0 0 0 0 0 1 2 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 1 1 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 6 13 17 12 6 6 16 33 43 47 44 32 22 25 33 39 37 25 11 0 0 0 0 1 2 2 1 0 0 0 0 5 12 17 13 12 17 29 31 24 19 18 25 29 25 18 11 5 5 10 11 3 8 6 4 3 6 15 29 32 14 5 1 0 0 0 0 3 7 17 73 175 301 437 583 536 432 300 157 49 12 0 1 5 36 58 57 32 6 1 0 0 0 0 0 0
2 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 1 3 5 2 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 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 1 2 6 2 0 0 0 0 0 0 0 0 8 15 18 13 5 9 24 46 50 47 38 27 17 20 31 39 36 22 8 0 0 0 0 2 5 7 4 2 0 0 0 2 5 8 8 7 10 14 18 20 26 37 49 58 59 47 30 16 13 14 9 2 4 3 3 2 2 6 31 46 36 16 4 0 0 0 0 14 25 34 64 155 307 452 523 425 260 113 21 2 1 2 5 15 35 43 33 10 1 0 0 0 0 0 0 0
2 2 3 3 1 1 1 0 0 0 0 0 0 0 0 0 1 2 3 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 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 4 12 19 6 1 0 0 0 0 0 0 0 4 6 7 5 1 3 10 18 21 18 14 9 5 8 15 19 18 10 3 0 0 0 0 5 10 12 7 2 0 0 0 3 7 10 11 4 3 5 10 18 27 35 48 72 97 85 61 42 41 54 35 7 0 0 1 1 1 3 16 41 53 34 6 0 0 1 7 45 62 61 57 98 192 226 165 84 31 9 2 4 8 11 14 19 24 21 11 1 0 0 0 0 0 0 1 2
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