Vorticity
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nan -2 -4 -3 -2 1 4 7 8 9 10 10 11 12 11 12 11 10 11 13 15 15 14 10 8 6 5 6 8 11 14 15 14 14 12 12 13 13 13 12 11 10 7 5 5 5 6 9 11 13 14 15 16 16 15 15 15 15 15 15 13 11 10 9 10 10 11 12 11 10 9 8 8 9 9 10 10 9 9 8 8 8 9 11 12 13 13 10 8 6 7 9 12 15 16 16 16 14 12 9 7 6 7 8 10 12 14 16 17 17 18 17 15 13 11 10 11 11 12 14 15 17 17 17 16 14 12 11 10 11 11 12 12 12 12 12 11 10 10 10 10 11 10 9 8 6 6 7 7 7 7 8 9 10 10 11 11 10 10 10 9 8 8 8 10 12 11 11 10 10 10 10 11 11 11 11 10 10 9 8 7 7 7 9 10 12 13 14 nan
nan -5 -4 -0 3 5 7 8 9 10 11 12 14 15 14 13 12 11 11 10 10 9 7 5 4 4 4 6 9 12 13 14 12 11 11 10 11 12 12 12 12 10 8 6 6 6 6 7 9 10 12 13 15 16 15 13 13 13 13 14 13 11 10 9 9 10 10 11 10 10 9 9 9 9 9 10 9 9 8 8 8 9 10 12 13 13 12 10 8 7 9 12 13 14 13 12 12 11 10 8 6 6 6 8 9 11 14 14 14 14 13 13 13 12 11 11 11 11 12 13 14 15 15 15 14 13 11 10 10 11 11 11 11 11 11 10 10 9 9 9 10 10 9 8 7 6 6 7 7 7 7 8 9 10 9 9 9 9 10 9 9 8 9 10 12 12 11 9 9 10 11 11 12 12 11 11 10 8 7 6 6 7 9 10 12 14 15 15 nan
nan -2 2 5 7 8 8 9 10 12 14 16 18 18 17 15 12 10 9 8 6 5 5 5 6 7 7 8 10 12 13 12 11 10 9 9 9 11 12 12 12 10 8 7 7 7 7 7 7 8 10 12 14 15 14 13 12 13 13 14 13 11 10 9 9 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 10 11 12 13 12 11 9 9 9 11 12 12 10 9 8 8 8 8 8 7 7 8 9 10 12 14 13 12 11 9 9 9 10 10 10 10 11 11 11 12 12 13 13 13 12 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 8 8 8 8 8 9 9 8 8 9 9 9 9 9 10 10 9 9 9 11 13 14 12 9 8 8 10 12 12 12 11 11 10 9 7 6 7 8 9 11 13 14 15 15 14 nan
nan 4 7 9 9 8 8 10 12 14 17 20 22 22 20 17 13 10 8 7 6 5 5 8 10 10 10 10 11 12 12 11 10 9 8 8 9 10 11 12 11 10 8 8 8 8 8 8 7 8 10 11 14 15 14 14 13 13 13 12 11 9 9 8 9 10 11 10 9 8 8 8 8 8 9 8 8 8 8 9 9 11 11 12 12 11 10 9 9 11 12 12 11 8 7 7 7 7 7 8 9 9 10 10 11 12 13 13 11 10 8 8 8 9 9 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 11 11 10 10 10 9 9 9 9 10 10 11 11 12 12 11 11 11 11 10 9 10 10 10 10 10 11 11 10 9 9 11 13 13 10 9 8 9 11 12 11 11 10 9 9 7 7 7 8 10 11 13 14 14 14 13 12 nan
nan 8 10 10 10 9 9 11 13 16 19 22 22 21 19 16 13 10 8 7 7 7 8 10 12 12 12 11 11 11 11 10 9 9 9 9 10 10 10 10 10 10 10 9 8 8 8 8 8 8 9 10 12 13 14 14 14 14 13 11 8 7 7 8 9 11 12 10 9 9 9 8 8 8 8 8 8 8 8 9 10 12 12 12 12 11 9 8 8 10 11 12 12 10 9 9 8 7 6 7 9 11 11 11 10 11 13 13 12 11 10 9 9 9 9 9 9 9 9 9 9 10 10 11 11 12 12 12 12 12 12 11 11 11 10 10 10 10 11 11 12 12 13 14 15 15 14 14 13 13 12 12 12 12 13 13 13 12 11 10 9 9 11 12 11 10 9 9 9 10 11 10 10 9 8 8 8 9 9 10 11 12 13 13 13 12 11 11 nan
nan 9 11 11 10 10 11 11 12 13 16 19 18 17 15 12 10 8 8 8 8 9 10 11 13 14 14 12 11 11 10 10 10 10 10 11 11 9 8 8 9 10 10 10 9 9 8 8 8 8 9 10 11 11 13 15 16 16 15 13 9 8 7 8 9 10 10 10 10 10 11 10 10 9 8 8 7 7 8 10 12 13 14 13 12 12 9 8 7 8 11 13 14 14 13 12 10 7 6 7 9 11 13 12 11 11 12 13 13 13 12 11 10 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 13 13 14 15 16 16 16 15 15 14 14 14 14 14 14 14 14 14 13 12 11 11 11 11 12 11 10 10 9 9 9 9 10 10 9 9 9 10 11 11 12 12 12 12 12 11 11 11 11 nan
nan 9 10 12 11 11 11 11 11 11 12 13 13 12 10 8 7 7 8 9 9 9 9 10 13 15 16 15 12 10 10 10 11 11 12 13 12 9 7 6 7 9 10 11 11 10 10 9 8 8 9 9 10 11 12 14 16 17 17 16 12 10 8 8 8 8 7 9 10 13 15 15 14 12 9 8 7 7 8 11 14 15 15 14 12 11 10 9 8 8 10 14 17 17 17 14 11 8 6 7 9 11 13 13 12 12 13 15 16 16 15 13 11 11 10 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 13 13 13 13 14 14 15 15 16 16 15 15 14 14 14 14 14 14 14 14 14 13 13 13 13 13 13 12 12 11 11 10 9 9 9 9 10 10 10 10 11 12 12 12 12 12 11 11 10 10 10 11 12 nan
nan 10 10 11 13 13 13 12 11 11 11 10 10 9 9 8 7 8 10 11 11 10 9 9 12 14 16 17 14 11 9 10 11 13 14 14 12 9 7 6 7 8 10 11 12 12 11 9 8 8 9 10 11 12 12 13 14 16 17 16 14 12 10 9 7 6 5 7 10 13 17 18 17 14 11 9 8 7 8 11 14 16 16 15 13 12 10 8 8 9 12 15 18 19 17 15 11 7 6 7 9 11 13 14 14 15 17 18 19 19 17 15 13 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 13 13 13 13 14 14 14 14 14 14 14 14 13 13 13 13 14 13 13 13 13 13 13 13 13 13 13 13 13 12 11 10 9 9 9 9 10 10 10 10 11 12 13 13 12 11 11 10 10 10 10 10 11 12 nan
nan 9 10 12 15 15 15 13 12 11 11 10 10 9 9 8 9 10 12 13 13 12 11 10 11 13 14 16 15 12 9 9 11 13 14 14 11 8 6 6 7 9 10 12 13 13 11 9 9 9 10 12 13 13 13 12 13 14 14 15 15 14 13 11 8 6 5 6 9 12 16 19 18 15 12 10 9 7 8 11 13 16 16 16 14 12 10 8 8 9 12 16 18 19 17 15 12 8 7 7 9 11 13 15 17 18 20 21 22 21 19 16 13 12 10 10 10 10 10 10 10 10 9 9 9 10 10 10 11 11 12 12 12 12 13 13 13 13 13 13 12 12 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 13 13 13 13 12 11 10 9 9 8 8 9 9 9 9 9 10 11 13 13 13 12 11 10 10 9 9 10 10 11 11 nan
nan 10 12 15 17 16 15 13 12 11 10 10 10 10 9 9 10 11 13 14 14 14 14 12 11 11 12 15 14 12 10 10 11 12 13 11 9 7 6 6 7 9 11 13 13 13 11 9 8 9 10 12 13 14 14 13 13 13 13 15 16 16 14 13 10 7 6 6 8 11 14 17 17 14 12 10 9 8 8 9 12 15 16 16 14 12 10 9 9 10 13 17 18 17 16 14 12 12 11 9 9 10 12 15 18 20 21 21 22 21 19 16 13 11 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 11 11 10 10 9 8 8 8 8 9 9 9 10 10 11 12 13 14 13 12 10 9 9 9 10 10 10 10 10 nan
nan 13 16 17 17 15 13 11 10 10 9 9 10 10 10 10 10 12 13 13 13 13 14 14 12 11 11 13 13 12 12 11 11 11 10 9 8 7 7 7 8 10 12 13 13 12 10 8 7 7 8 10 12 14 15 14 14 13 14 16 17 18 16 14 11 8 6 7 8 11 13 16 16 14 12 10 9 8 8 10 12 14 15 13 11 10 9 10 10 13 16 18 17 15 13 11 11 12 12 11 10 9 11 15 19 20 20 19 18 18 17 15 12 10 9 9 10 10 10 10 10 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 13 13 13 13 12 12 11 11 11 11 11 11 11 10 10 10 9 8 8 7 8 8 9 9 10 10 11 12 13 13 14 14 12 11 10 9 9 9 10 10 10 10 10 nan
nan 14 15 15 13 12 11 10 10 10 9 8 8 9 10 11 12 13 13 12 11 11 12 14 13 12 10 10 11 11 11 12 11 10 9 8 8 8 8 9 10 11 12 13 14 13 11 9 6 5 6 7 10 13 15 16 15 14 14 15 17 18 17 15 13 10 8 8 8 10 12 14 15 14 13 12 10 9 9 10 11 13 13 10 8 7 8 10 12 15 17 18 16 13 10 7 6 8 9 10 10 9 12 17 20 20 19 17 15 14 13 12 11 10 9 10 10 11 11 11 11 10 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 12 12 13 13 14 14 14 13 12 12 11 11 11 11 11 11 10 10 10 10 9 9 8 8 8 9 9 10 11 11 12 13 14 14 13 13 12 11 10 8 8 9 9 10 10 10 10 10 nan
nan 11 12 12 11 10 10 10 10 10 9 8 8 9 10 12 13 14 14 13 12 11 12 13 13 12 10 8 7 8 9 11 12 11 9 7 8 9 9 10 10 11 13 14 15 15 13 10 7 5 5 6 8 12 13 15 15 14 13 13 14 15 15 15 13 11 10 9 8 9 11 14 16 16 16 14 11 10 10 11 12 12 12 10 7 6 7 10 13 17 18 16 14 11 7 4 2 4 5 8 9 11 16 20 21 20 18 15 13 13 12 11 11 10 9 10 11 12 12 12 11 10 9 9 9 9 9 10 10 11 11 11 12 12 11 11 11 12 12 12 12 12 13 13 13 14 14 13 12 12 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 10 11 12 13 14 14 14 13 12 12 11 9 8 8 8 9 10 10 10 10 10 10 nan
nan 10 10 10 10 10 10 10 10 11 10 10 9 9 10 12 14 16 16 15 14 13 13 14 14 13 11 8 5 4 5 7 9 11 12 11 10 10 10 9 10 11 13 14 15 15 14 11 9 7 6 7 8 10 11 12 13 13 13 12 11 11 10 10 10 10 11 11 10 11 12 15 17 17 16 15 12 10 10 11 12 13 12 9 8 7 9 12 15 17 16 13 11 9 7 5 3 3 5 7 10 15 20 24 24 22 18 15 12 12 11 11 11 10 10 11 12 12 12 12 11 9 9 8 9 9 10 10 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 13 14 14 13 12 11 10 10 9 8 7 8 9 10 10 11 11 11 10 10 nan
nan 11 11 11 10 11 10 10 11 12 13 12 10 9 9 12 15 16 16 15 14 13 14 14 15 14 13 11 7 4 3 3 4 7 10 12 12 11 11 11 11 12 12 13 14 14 14 12 10 9 8 8 9 10 10 10 11 11 12 11 10 9 7 6 7 9 10 12 13 14 15 16 16 15 14 12 10 9 10 11 12 12 11 9 9 10 12 14 15 15 12 10 8 7 7 7 6 5 6 9 12 17 22 24 24 22 19 14 12 12 11 11 10 10 11 12 13 12 12 11 10 9 8 8 8 9 9 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 12 13 13 13 12 11 10 9 8 8 8 8 9 9 10 10 10 11 11 11 11 11 nan
nan 12 12 13 13 12 11 11 12 13 14 12 9 7 7 10 14 17 16 14 12 11 12 13 14 14 13 13 12 9 5 4 3 5 8 10 11 11 11 12 12 12 12 13 13 14 13 12 11 10 9 9 10 10 11 10 10 10 11 11 10 9 8 7 7 8 10 12 13 15 16 15 14 12 11 9 9 8 10 11 11 11 11 10 11 13 14 14 13 10 7 6 6 7 7 8 8 8 8 10 13 17 21 21 21 19 17 14 13 12 11 11 10 10 12 12 12 12 12 11 10 9 9 9 9 8 9 10 11 11 12 12 12 12 12 12 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 12 12 12 12 10 9 8 7 6 7 9 10 10 10 10 10 10 11 11 11 11 11 nan
nan 12 13 14 14 14 13 12 12 13 13 11 8 5 4 7 11 15 16 16 13 10 10 10 11 12 13 14 14 12 10 7 5 5 7 9 11 11 12 12 13 13 13 13 13 14 13 12 11 10 9 9 9 10 11 11 10 9 9 10 9 9 9 8 8 8 9 10 12 14 15 14 12 11 10 8 7 7 9 10 11 12 12 13 14 15 15 14 12 7 5 5 6 8 8 9 9 9 10 12 14 16 17 16 16 15 14 13 12 11 10 10 10 11 12 12 12 11 11 10 10 9 9 9 10 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 12 12 12 12 12 11 11 10 10 10 10 10 10 9 7 7 6 7 9 10 11 11 10 10 10 11 11 11 11 11 11 nan
nan 12 13 15 15 15 13 11 11 11 11 9 6 2 2 4 8 12 15 16 16 13 10 9 10 11 12 13 14 13 12 10 8 7 8 10 11 12 13 13 13 13 13 13 14 13 13 12 11 9 9 9 9 10 11 10 10 9 8 8 8 8 9 9 9 9 9 9 10 12 13 13 12 10 9 7 7 7 8 9 11 12 14 15 15 15 14 13 12 10 9 8 9 9 10 10 10 11 12 13 15 15 14 13 12 11 11 11 10 10 10 10 11 11 12 12 11 11 10 10 10 10 10 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 12 12 11 11 10 10 10 9 8 8 8 8 9 8 8 8 8 9 9 10 11 11 11 10 11 11 11 11 11 11 11 nan
nan 12 14 15 16 15 12 9 7 7 9 8 5 3 1 4 7 10 13 15 16 14 12 11 10 11 12 12 12 12 11 11 10 10 10 11 11 12 13 13 13 13 13 13 14 13 13 12 10 9 8 8 9 10 10 10 10 9 8 8 8 9 9 9 10 9 9 9 9 10 12 13 12 11 9 8 8 8 8 9 10 12 14 15 14 13 12 11 11 11 11 11 11 10 10 10 10 12 14 16 18 18 16 14 11 10 9 9 10 10 10 10 11 11 11 11 11 11 10 10 11 11 11 11 11 10 10 10 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 12 12 11 11 10 10 10 10 10 10 10 10 9 8 8 7 8 8 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 nan
nan 12 14 15 16 15 11 7 3 4 8 9 8 6 4 5 7 9 11 13 14 14 13 12 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 12 12 12 12 13 14 14 13 12 11 10 9 8 9 10 10 10 10 9 8 8 9 9 10 9 10 10 9 9 9 9 12 12 12 11 10 9 9 9 10 11 11 12 12 13 12 11 10 9 9 9 10 10 11 10 10 9 10 12 15 19 21 21 19 16 13 10 10 10 10 11 11 11 12 11 11 11 10 11 11 11 11 11 12 11 11 11 10 10 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 14 13 13 12 11 10 10 9 8 8 8 9 10 11 10 8 8 8 9 10 11 11 11 10 10 9 10 10 11 11 11 11 11 12 12 11 11 10 10 11 11 nan
nan 13 14 15 16 14 11 6 3 4 7 9 9 8 7 7 8 10 11 12 13 13 13 12 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 12 12 12 12 13 14 15 14 13 12 10 9 9 10 11 11 11 10 9 8 8 9 9 10 10 10 10 10 10 9 9 11 11 11 11 11 10 10 11 12 12 12 11 11 11 11 11 10 9 8 7 7 8 9 9 9 9 10 13 17 21 23 23 21 18 14 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 12 11 11 11 11 12 12 12 12 12 13 13 14 13 12 11 10 9 9 8 7 7 7 9 10 11 10 9 10 11 12 12 12 11 10 9 9 9 10 11 11 11 11 11 12 12 12 12 11 10 10 11 11 nan
nan 13 14 15 15 13 11 7 5 5 7 8 8 8 8 9 10 10 10 11 12 13 12 12 11 10 10 10 10 11 12 12 12 12 12 13 13 13 13 12 12 12 13 14 15 15 14 13 12 10 9 9 10 11 12 12 11 10 9 8 8 9 9 10 10 10 10 10 9 10 10 9 9 9 10 11 12 12 13 13 13 13 12 11 10 10 10 9 8 8 7 7 7 7 8 8 11 14 18 22 23 22 20 18 15 12 12 12 12 13 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 10 10 11 11 11 12 12 11 11 11 11 11 12 12 13 13 13 12 12 11 10 9 8 8 7 7 7 7 8 9 10 11 11 11 12 12 12 11 10 9 8 9 10 11 11 11 11 11 12 12 12 12 12 11 11 10 10 10 nan
nan 13 14 15 14 13 10 8 7 7 8 8 8 9 10 11 11 10 9 9 10 12 12 12 11 10 9 9 10 11 11 12 12 12 12 13 13 13 13 12 12 13 13 14 15 14 13 12 11 9 8 9 10 12 13 13 13 11 10 9 8 9 10 10 10 10 10 10 10 11 11 9 9 8 9 12 12 12 12 12 14 14 13 11 9 8 8 9 9 9 8 8 7 7 8 9 12 15 20 24 23 22 20 17 14 13 12 13 13 13 13 12 12 11 11 11 11 11 11 11 10 10 9 9 10 11 12 12 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 12 12 11 11 10 9 8 8 8 8 8 8 9 10 11 12 12 11 10 10 10 10 9 9 9 10 11 12 12 12 12 12 12 12 13 13 12 12 11 10 10 10 nan
nan 12 13 14 14 12 10 9 8 9 9 9 9 9 11 11 11 10 8 8 9 11 12 13 12 11 10 9 9 10 11 11 12 13 13 13 13 13 12 12 12 13 14 14 15 14 13 11 10 9 8 9 10 11 12 12 12 12 10 10 9 9 10 10 11 11 10 10 10 11 11 10 9 9 11 13 11 10 10 11 13 14 12 10 8 7 8 9 9 9 9 9 8 7 8 11 14 18 23 25 23 22 19 16 14 13 13 13 13 13 13 12 12 12 11 11 11 11 11 10 10 9 9 10 10 11 11 11 11 10 10 10 11 11 11 11 11 11 11 10 10 10 11 11 12 12 12 12 11 10 9 9 9 9 9 9 9 9 9 11 12 12 12 10 9 10 10 10 10 10 10 11 12 12 12 12 12 12 12 13 13 13 12 12 11 10 10 10 nan
nan 12 13 13 12 10 9 9 10 11 11 11 10 10 11 11 11 10 9 8 9 11 12 13 13 12 11 9 9 9 10 11 12 13 14 14 14 13 13 13 13 13 14 14 14 13 13 12 10 9 9 9 9 9 9 10 11 11 10 10 9 9 10 10 10 11 11 11 11 10 10 10 9 10 13 14 12 9 8 8 10 11 9 8 7 7 7 9 10 10 10 9 7 6 7 10 14 20 24 25 23 21 18 15 13 13 13 13 13 13 13 12 12 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 10 10 11 11 11 12 12 12 11 10 9 9 10 10 10 10 10 10 10 11 12 11 11 10 9 10 10 10 10 10 11 12 12 12 12 13 13 13 12 12 12 12 12 11 10 10 10 10 nan
nan 11 11 11 10 10 11 11 11 12 11 12 12 11 11 11 10 10 10 10 10 10 12 12 13 13 12 10 10 10 10 11 12 14 15 15 15 14 14 13 13 13 13 14 13 13 13 12 11 11 11 10 9 9 8 9 10 9 9 9 9 10 9 9 10 11 12 11 11 10 9 8 8 10 14 14 12 10 7 6 7 9 8 7 6 6 7 8 9 10 10 9 7 5 6 9 13 19 23 23 22 19 17 15 13 13 13 13 13 13 12 12 12 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 10 11 11 11 11 12 12 11 11 10 10 10 10 10 10 10 11 11 11 11 10 10 9 10 11 11 11 11 11 11 11 12 12 12 12 13 13 12 12 12 12 11 10 10 10 10 11 nan
nan 11 10 10 11 12 13 13 13 12 11 11 11 12 11 11 11 11 11 10 10 10 11 12 13 13 13 12 11 10 11 11 12 14 16 16 17 16 15 13 13 13 13 13 13 13 13 12 12 12 11 11 10 9 9 9 9 8 8 8 9 10 9 9 10 11 11 11 10 9 9 8 7 10 14 14 12 10 8 7 7 8 9 8 6 6 6 8 10 11 12 11 8 7 7 9 12 18 22 21 20 18 16 14 14 14 14 13 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 10 11 11 11 11 12 12 12 11 10 10 11 11 11 11 11 12 12 12 11 11 10 10 10 10 10 11 11 11 10 9 9 9 10 11 11 12 12 12 11 11 11 12 12 12 12 12 12 12 11 11 10 10 10 10 11 11 nan
nan 12 11 12 13 14 15 15 14 12 11 10 11 11 11 11 12 12 12 11 11 10 11 12 13 14 13 12 12 11 11 11 13 15 16 17 17 17 15 14 13 13 13 13 13 12 12 12 11 12 11 11 11 11 11 11 10 9 8 9 10 11 10 9 9 10 10 10 11 10 10 9 8 10 11 11 11 10 9 9 9 9 9 9 8 7 7 9 11 13 15 14 12 10 10 10 13 17 20 19 18 16 14 13 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 12 12 12 12 11 11 11 11 12 12 12 12 11 10 10 11 11 11 11 12 12 12 12 12 11 10 10 9 10 10 10 10 10 10 10 10 10 11 12 12 12 12 11 10 10 11 11 12 12 12 12 11 11 11 11 10 10 10 11 11 11 nan
nan 12 11 12 13 15 16 16 15 13 12 11 11 11 12 13 13 13 12 12 11 11 11 12 13 14 13 12 12 11 11 12 14 15 17 18 17 17 15 14 13 13 13 12 12 12 11 11 10 11 11 10 11 11 12 12 10 10 10 10 11 11 9 8 8 9 10 11 12 11 10 10 9 9 9 9 10 10 11 11 11 9 9 8 9 10 10 11 12 15 17 18 16 15 14 13 14 16 17 16 15 13 12 11 10 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 11 11 11 11 11 11 11 12 12 12 12 12 11 10 10 10 10 10 10 9 9 10 10 11 12 12 12 12 12 11 11 10 10 11 11 12 12 11 11 11 11 11 11 10 10 11 11 11 11 nan
nan 11 10 11 12 13 15 16 16 14 13 12 12 13 13 14 14 14 14 12 11 11 12 13 14 14 13 12 12 11 12 13 15 17 18 18 17 16 15 14 13 12 12 12 12 11 10 9 9 9 10 10 10 11 11 11 11 11 12 12 12 9 7 7 8 9 10 11 11 10 10 9 9 8 8 9 9 10 11 11 10 9 8 9 11 12 13 14 15 16 19 20 20 18 17 16 15 16 15 14 13 12 11 11 10 10 10 10 11 11 11 11 12 12 12 11 11 11 10 11 11 12 12 12 12 13 13 13 12 12 12 11 11 11 11 11 12 12 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 10 9 9 10 10 11 12 12 12 12 12 11 11 10 10 10 11 11 11 11 11 11 11 11 11 10 11 11 11 11 12 12 nan
nan 10 9 9 10 12 13 14 15 15 13 12 11 12 14 15 15 15 15 14 12 11 11 12 13 14 13 12 12 11 12 14 16 18 19 18 17 15 15 14 13 13 12 12 11 11 10 10 8 8 9 10 10 10 10 10 10 11 13 13 12 9 6 7 8 10 11 10 9 9 8 8 7 7 8 9 10 10 10 9 9 8 8 10 12 15 16 16 16 18 19 20 20 20 18 17 16 15 14 13 12 12 11 11 11 11 10 10 10 11 11 11 12 12 12 12 11 11 11 10 11 12 12 12 13 13 13 12 12 12 11 11 11 11 11 11 12 12 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 12 11 10 9 9 10 11 12 13 13 12 12 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 nan
nan 9 8 8 9 10 11 13 14 15 14 13 11 11 12 13 14 15 15 14 13 12 12 12 13 13 13 12 12 11 12 14 17 19 19 18 17 15 15 15 14 13 13 11 10 10 10 9 9 9 10 11 12 11 10 9 10 11 12 12 10 8 8 9 10 11 11 10 9 9 8 8 6 7 10 11 11 11 9 7 7 8 9 11 14 16 18 18 18 18 18 19 19 19 18 17 16 15 13 12 12 11 11 11 12 12 12 12 11 11 11 11 11 12 12 12 11 11 11 11 11 12 12 13 13 13 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 10 10 11 11 12 11 10 10 10 11 12 12 13 13 13 11 10 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 nan
nan 9 9 9 9 9 9 11 13 14 14 14 13 11 10 11 12 14 14 14 13 13 12 12 12 12 12 12 12 13 13 15 18 19 19 17 15 15 15 15 15 14 13 11 10 10 10 10 10 9 10 12 12 12 11 10 10 10 11 11 10 10 10 10 10 10 10 11 11 10 9 8 8 8 10 11 11 10 8 7 6 7 9 11 14 16 17 18 19 18 18 18 17 17 16 16 15 14 12 12 11 11 11 12 13 13 14 13 13 12 11 11 11 12 12 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 10 11 11 11 11 11 11 11 11 11 12 12 13 13 12 11 10 9 8 8 8 9 10 10 10 10 11 11 11 11 11 11 12 12 12 13 13 13 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 7 7 7 6 6 5 5 5 5 5 5 5 5 6 7 7 7 8 9 7 5 3 2 1 0 0 0 2 23 102 256 472 694 732 652 548 451 383 362 410 497 569 606 657 761 894 1032 1160 1252 1260 1197 1024 748 400 142 34 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 14 57 116 126 115 141 210 310 408 467 391 304 240 183 112 65 90 134 131 201 254 284 299 306 309 333 326 311 304 326 363 388 384 337 245 166 132 126 139 164 187 195 184 162 152 188 260 323 350 350 349 350 217 153 254 505 657 709 717 726 770 866 747 636 565 508 403 263 167 133 132 126 96 85 73 60 48 45 55 67 85 121 168 170 155 160 189 226 246 223 195 159 122 98 93 86 74 68 62 69 86 86 88 92 94 119 281 732 1196 1371 1177
6 7 7 7 6 6 6 5 5 5 5 5 5 5 5 5 6 7 8 9 9 8 6 4 3 2 0 0 0 2 14 53 138 249 379 484 470 418 384 378 396 433 492 493 507 589 765 917 1008 1062 1088 1077 1001 829 598 353 148 81 68 53 29 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 32 65 77 75 95 141 231 367 536 455 337 245 188 143 96 127 174 211 252 311 368 396 395 390 444 507 509 471 423 386 358 320 249 160 105 104 124 151 176 191 190 171 136 108 116 185 256 294 326 383 488 293 203 358 632 760 670 511 402 404 523 525 615 637 570 419 225 104 90 132 161 126 103 76 51 36 34 43 52 56 100 176 209 188 153 130 128 143 167 185 191 202 242 329 349 202 79 36 35 35 44 54 66 86 138 326 840 1238 1309 1123
7 7 7 6 6 6 6 6 6 5 5 5 5 5 5 5 5 7 9 10 10 10 8 6 4 2 0 0 0 0 3 10 26 54 150 289 365 334 305 319 359 394 419 375 407 525 703 813 781 731 692 646 574 520 479 408 319 248 226 152 68 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 12 26 42 61 93 131 197 273 352 403 369 304 247 209 176 209 248 286 327 396 470 507 495 454 453 544 570 538 460 362 279 221 152 98 89 108 149 182 201 207 201 185 150 125 130 177 208 212 241 331 443 327 247 403 629 742 648 432 322 315 385 470 675 734 635 435 215 87 111 193 231 190 142 91 52 31 27 35 43 37 77 140 181 183 160 137 125 134 165 199 223 251 311 424 509 306 129 46 41 45 37 30 30 49 103 280 845 1224 1296 1136
8 8 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 6 7 9 10 10 9 7 5 3 1 0 0 0 0 0 0 2 18 150 265 283 236 236 275 292 274 247 315 422 523 573 528 424 358 330 320 334 400 442 447 422 384 281 117 20 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 12 24 41 70 116 205 263 309 378 414 391 354 332 334 348 360 371 422 526 645 683 622 480 336 314 378 400 366 289 200 145 107 93 104 134 177 210 228 233 225 211 176 153 152 173 196 199 239 365 443 369 331 430 576 681 675 551 460 419 444 516 540 560 499 357 193 96 151 232 268 240 169 91 41 20 17 23 30 26 57 106 149 160 134 116 115 136 180 240 294 334 370 410 438 283 153 73 44 43 31 14 8 19 58 164 665 1042 1166 1033
9 9 8 7 6 6 7 6 6 5 5 5 5 5 5 5 5 6 7 9 9 10 10 9 7 4 2 0 0 0 0 0 2 6 8 91 196 236 205 165 171 165 153 157 218 295 319 295 257 208 180 181 209 252 297 359 408 440 461 455 266 114 34 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 15 32 43 58 93 176 263 353 423 451 449 449 452 440 405 388 395 436 517 629 734 731 564 341 190 200 245 244 204 150 115 104 108 127 157 192 223 246 260 262 250 222 209 205 224 283 391 576 798 765 530 465 538 656 750 770 702 591 517 476 469 474 438 321 184 85 65 135 164 186 172 117 54 23 9 8 13 19 30 67 114 151 161 133 110 104 117 156 230 326 412 470 482 440 344 268 190 120 69 38 12 5 10 30 85 448 793 920 795
11 11 9 8 7 7 6 6 6 6 5 5 5 5 5 5 5 6 7 8 9 10 11 10 8 6 4 1 0 0 0 2 26 74 114 148 194 197 169 129 104 89 78 80 111 168 188 168 125 85 70 84 120 163 200 234 294 357 411 428 293 161 72 23 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 20 38 65 108 179 290 406 497 541 534 509 494 470 440 413 383 392 432 495 572 648 545 416 271 201 216 228 207 170 141 130 133 145 164 189 218 248 276 292 294 286 315 366 503 744 1077 1436 1542 1203 770 603 673 812 886 883 820 739 632 519 448 427 430 410 313 154 47 57 52 51 44 30 16 7 2 3 9 24 55 103 144 163 153 118 91 83 93 127 192 287 402 498 537 520 502 495 432 329 207 92 25 7 7 20 80 358 650 729 574
11 11 9 8 7 7 7 6 5 5 5 5 5 5 5 5 5 5 6 7 8 10 11 10 9 7 5 2 1 0 2 9 85 262 391 380 247 162 113 83 64 49 33 30 38 55 64 57 47 32 23 29 59 111 154 182 236 362 463 426 246 95 43 21 10 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 18 50 106 185 288 398 489 563 603 623 623 577 520 472 408 369 379 416 459 486 375 402 411 369 333 325 292 250 210 185 163 156 163 180 206 237 265 287 309 346 427 594 964 1458 1931 2222 2065 1602 1186 963 957 1006 985 948 901 842 728 586 470 421 443 486 403 215 79 40 24 12 4 1 0 0 0 0 14 46 94 141 166 163 135 94 70 63 68 92 140 220 332 441 516 583 684 745 709 612 475 311 116 83 101 141 228 436 628 630 437
10 10 9 8 8 8 7 7 5 5 5 5 4 5 5 5 5 5 6 6 7 9 10 10 9 7 5 3 1 0 1 20 98 347 607 622 386 183 83 38 19 9 3 6 9 13 19 27 29 17 9 16 43 83 127 163 204 287 362 314 180 56 23 26 21 11 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 19 58 128 217 304 373 464 570 676 757 752 635 509 419 378 364 362 377 389 384 365 395 416 405 381 375 324 282 245 211 183 171 182 201 221 234 239 271 353 518 820 1289 1776 2097 2130 1825 1383 1104 957 919 929 939 967 934 839 704 614 549 510 500 507 426 211 92 48 26 11 3 0 0 0 0 4 27 69 121 169 190 173 128 78 46 39 44 62 96 151 233 345 475 628 789 896 890 810 705 650 706 768 730 655 592 584 604 538 351
9 8 8 8 8 8 7 7 6 5 4 5 5 4 4 5 5 5 5 5 6 7 9 10 8 7 5 3 1 0 0 8 58 197 511 656 579 380 190 76 18 1 0 0 0 2 6 12 17 13 15 45 87 84 88 100 115 134 152 155 113 72 56 50 36 19 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 15 54 113 172 216 295 425 570 684 721 590 466 382 350 347 332 335 351 374 417 436 436 426 406 395 370 338 311 289 273 256 241 228 213 193 169 179 254 484 920 1393 1578 1479 1252 985 707 636 616 634 703 852 976 933 778 605 528 556 595 595 525 381 185 90 48 28 15 6 1 0 0 1 8 45 91 140 187 219 198 131 64 24 18 33 56 83 112 149 224 385 558 701 784 793 751 707 812 1108 1267 1164 952 731 567 481 414 284
8 8 7 7 7 8 7 6 5 4 5 4 4 4 4 4 5 5 5 5 5 6 8 9 8 5 5 3 1 0 0 11 57 180 423 627 625 516 364 204 81 18 0 0 0 0 1 3 7 12 21 67 91 65 37 31 33 37 47 77 60 65 70 61 37 16 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 12 41 78 114 165 265 393 505 565 527 460 407 382 385 399 415 410 411 416 409 376 353 370 410 439 431 415 403 398 388 351 294 227 164 121 102 116 322 712 1133 1114 763 480 338 280 330 380 435 535 722 976 938 744 551 480 520 571 571 498 355 189 106 57 31 18 10 4 1 1 4 15 61 112 163 209 241 213 130 65 30 17 21 41 73 102 127 167 303 426 517 569 602 662 762 1004 1296 1346 1114 843 608 437 336 299 220
7 7 6 6 6 6 7 6 5 4 4 4 4 3 4 4 5 5 5 5 5 5 6 7 6 4 4 2 1 1 9 75 205 372 506 549 445 343 267 211 159 111 63 35 18 9 6 6 8 17 31 67 62 36 12 4 4 5 11 20 14 25 46 54 37 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 1 9 24 47 81 135 214 297 368 413 425 433 459 508 545 545 467 419 393 367 348 354 383 434 492 529 538 537 527 508 470 386 271 171 112 87 75 237 521 771 699 464 266 158 137 164 195 228 302 468 776 854 711 568 509 532 562 542 457 328 197 123 79 49 29 15 8 9 13 21 39 78 140 205 252 260 199 111 60 38 32 30 38 66 98 130 174 252 326 392 454 527 644 884 1156 1302 1182 944 695 477 316 222 189 131
7 7 7 6 6 5 5 5 4 4 4 4 4 3 4 4 5 5 5 4 5 5 6 6 4 2 2 1 0 3 52 176 372 535 562 452 279 154 88 70 101 172 191 167 138 109 88 60 45 58 71 71 75 52 23 5 3 0 1 1 2 13 37 52 46 18 2 0 0 0 0 0 0 0 0 0 0 0 0 1 5 9 3 0 0 0 0 4 12 26 46 79 120 162 200 231 270 339 424 480 473 363 294 259 251 266 305 355 401 455 513 571 614 619 591 542 486 325 190 110 81 67 140 275 377 370 411 279 171 111 88 91 118 181 320 535 693 630 568 546 562 572 526 432 315 206 136 103 77 54 34 21 26 39 55 77 113 182 259 289 256 162 84 45 27 21 21 26 37 52 82 131 198 274 348 417 491 587 862 1042 1066 932 697 454 277 163 101 74 50
6 5 5 6 6 5 4 4 4 3 4 4 3 4 4 4 5 5 5 5 4 4 5 4 2 2 2 0 0 11 64 157 285 369 360 295 195 99 40 21 37 86 162 198 207 211 215 200 141 117 87 58 89 75 48 23 9 0 0 0 11 40 78 92 76 39 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 2 0 0 0 0 0 1 4 9 17 31 39 46 53 69 111 181 248 279 233 168 124 111 129 172 234 290 329 366 422 486 524 522 488 449 253 138 82 64 58 62 98 182 307 421 326 211 129 90 90 123 198 329 471 565 542 511 513 542 569 541 440 324 224 158 121 97 76 58 45 51 70 89 117 163 237 316 312 235 125 58 33 18 9 5 11 17 19 30 65 132 239 342 410 456 510 648 680 608 462 286 144 62 31 23 19 16
5 4 5 5 5 5 4 4 4 4 4 4 4 3 4 4 5 5 5 4 4 4 4 5 5 3 1 0 1 6 26 64 113 152 179 186 160 102 45 24 37 71 112 142 183 206 217 220 204 113 56 49 79 84 61 36 16 4 0 3 18 54 110 131 96 40 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 3 5 4 3 2 3 11 35 68 101 109 94 62 40 35 52 86 160 217 238 236 239 258 282 286 241 108 64 44 40 45 56 83 137 246 366 355 260 175 120 105 126 213 362 475 501 433 365 360 404 474 530 465 353 250 177 137 110 93 85 89 102 126 151 191 251 325 368 308 203 104 52 32 22 14 9 10 11 11 19 41 88 179 304 409 468 488 498 399 265 137 46 16 13 11 11 11 11
5 4 4 4 4 4 4 4 4 4 4 5 4 4 4 5 5 5 5 5 4 4 5 5 5 3 1 0 0 2 13 28 40 56 78 85 62 38 22 20 43 82 103 115 150 154 146 126 90 31 22 39 64 77 60 36 21 10 8 34 32 52 87 112 87 29 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 1 6 14 26 33 26 13 6 7 19 53 134 164 150 116 89 75 58 36 21 20 20 27 40 57 80 115 195 284 328 313 249 180 135 132 194 344 427 414 319 222 206 248 353 485 528 450 351 264 200 162 143 152 178 211 245 281 328 382 422 406 280 176 101 57 36 29 25 25 26 24 23 23 31 52 97 190 339 421 429 401 269 137 52 16 10 9 10 10 11 12
5 5 4 4 4 4 4 4 5 5 5 5 4 4 5 5 5 5 5 5 5 4 4 4 4 3 2 0 0 2 6 10 11 12 12 10 6 4 4 9 28 65 104 133 144 108 68 42 23 11 8 32 51 56 41 21 22 17 49 103 54 36 39 50 49 17 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 0 0 0 0 0 0 0 0 2 4 5 3 1 0 2 12 62 102 103 75 42 41 52 44 24 9 5 21 46 72 92 110 143 197 259 299 290 241 175 138 164 266 317 302 235 161 146 185 330 498 577 521 434 361 316 304 297 275 287 322 361 387 409 435 441 398 259 174 115 75 49 40 40 38 35 33 33 31 32 38 56 98 213 287 320 316 235 130 59 24 11 8 8 9 11 13
7 7 6 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 4 3 2 2 2 1 0 0 0 0 1 1 1 0 0 0 0 0 4 21 62 156 197 175 114 52 25 20 17 16 39 36 29 20 15 27 38 104 130 55 14 3 2 8 8 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 3 15 49 55 39 17 20 57 60 35 10 1 20 54 86 103 98 102 126 161 200 231 228 177 144 152 185 214 214 189 158 149 182 375 554 618 547 453 414 412 416 383 334 331 348 360 344 300 283 268 233 167 163 146 116 81 56 55 51 42 33 30 30 29 28 32 53 103 153 192 208 185 129 83 49 25 14 9 10 12 16
9 9 8 6 6 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 26 99 223 265 215 145 79 33 17 18 22 25 20 14 16 28 50 80 123 104 48 10 1 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 16 20 14 7 14 49 119 98 48 15 17 48 85 97 81 77 84 98 119 144 158 129 131 141 143 159 173 180 182 187 204 436 613 662 579 456 416 420 415 357 315 324 317 282 215 132 88 71 71 86 133 179 189 156 97 81 75 66 55 44 34 25 17 13 16 24 57 87 104 103 91 83 71 54 34 22 19 18 17
8 8 7 7 6 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 26 114 220 268 216 164 107 51 7 10 6 5 7 11 26 57 103 148 138 102 54 17 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 13 25 26 17 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 3 2 7 34 142 124 73 32 30 60 87 74 51 54 57 71 91 107 110 107 114 120 123 134 156 179 199 213 230 452 639 696 618 465 381 364 355 331 278 250 221 179 124 69 36 34 45 65 102 193 277 274 200 138 114 98 83 68 52 39 30 24 20 20 44 65 76 77 74 73 71 65 54 44 37 31 25
8 9 9 7 6 5 5 5 5 4 4 4 5 5 5 5 5 5 5 4 3 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 14 70 153 213 212 178 123 59 9 0 0 0 9 30 66 113 165 194 156 118 61 27 15 17 8 2 0 0 0 5 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 12 35 61 65 33 10 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 31 87 98 85 74 81 110 103 58 33 36 38 54 83 106 118 122 115 113 118 132 154 181 198 199 217 374 597 703 655 482 290 279 280 264 225 180 138 104 81 72 83 71 62 63 89 171 305 370 346 262 188 143 111 86 66 55 47 42 40 46 70 92 100 97 88 82 77 67 57 50 46 39 33
8 9 9 7 6 5 5 5 5 4 4 4 4 4 4 5 5 5 4 3 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 24 89 159 197 184 131 67 19 0 0 0 19 67 132 184 170 151 121 83 40 21 20 20 0 0 0 0 11 44 77 62 33 0 0 0 0 0 0 0 0 0 0 0 0 12 33 54 62 20 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 15 32 50 69 87 102 115 122 98 51 31 29 35 52 89 125 144 145 147 140 142 155 177 198 187 163 171 273 515 693 700 530 259 211 226 243 239 201 152 132 142 192 280 197 124 87 95 158 291 397 381 279 200 160 131 105 82 70 70 73 82 98 121 139 144 137 123 111 105 93 76 58 41 30 28
8 8 9 8 6 6 5 5 5 4 4 4 5 5 5 5 5 5 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 31 96 160 180 164 117 60 18 0 0 0 29 86 141 165 100 35 12 15 9 3 2 1 0 0 0 0 35 127 279 332 154 10 1 0 0 0 0 0 0 0 0 0 0 6 17 27 28 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 26 42 61 88 129 162 159 130 87 44 23 17 24 47 89 141 167 164 157 155 159 169 185 199 161 139 139 206 392 624 710 555 276 187 190 205 217 219 209 230 305 373 396 284 179 127 133 192 282 337 300 222 164 138 127 115 103 94 92 94 99 106 115 125 136 140 138 132 128 119 101 76 44 29 25
9 9 10 8 7 6 5 5 5 5 5 5 4 5 5 5 5 5 4 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 26 95 197 255 197 130 75 31 7 1 2 12 46 70 80 60 6 1 0 0 0 0 0 0 0 0 0 0 27 129 323 527 240 56 11 1 0 0 0 0 0 0 0 0 0 0 0 1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 23 46 59 72 100 151 211 213 163 94 40 15 9 14 26 43 71 74 76 83 93 110 130 150 156 119 123 118 157 284 497 634 526 323 211 173 167 178 202 243 322 399 400 352 299 229 185 188 217 234 229 199 159 124 103 99 95 92 91 93 84 73 62 51 43 52 69 82 88 88 81 69 53 36 27 20
8 9 9 8 7 6 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 14 63 187 323 386 261 132 53 15 5 5 9 18 27 28 19 9 0 0 0 0 0 0 0 0 0 0 0 0 4 27 78 150 185 98 34 7 0 0 0 0 0 0 0 0 0 0 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 21 37 45 53 63 94 155 239 258 196 111 42 10 5 9 19 33 54 53 53 55 54 58 77 103 111 89 110 103 126 208 350 453 413 299 185 120 99 112 167 272 438 400 387 371 348 305 257 232 204 160 133 109 88 70 57 48 49 58 69 81 79 66 48 28 11 8 12 19 24 26 25 20 15 10 9 8
8 9 9 9 7 6 5 5 5 5 5 5 5 5 6 6 6 5 5 5 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 16 54 127 285 465 492 328 143 41 7 9 15 20 24 23 15 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 14 35 31 18 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 1 3 7 16 32 40 39 40 44 75 141 231 303 255 170 90 41 21 14 19 33 51 58 63 57 46 34 41 67 82 82 93 95 115 157 219 266 242 173 97 49 33 73 177 320 445 279 299 345 372 364 329 278 195 111 68 47 33 24 17 10 13 23 37 50 57 49 32 16 5 4 4 4 5 6 6 6 6 6 7 8
7 8 8 8 7 6 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 4 34 99 202 350 599 586 396 164 34 10 11 24 38 39 36 25 12 4 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 7 4 7 12 31 39 43 48 64 66 62 58 57 61 85 141 227 317 305 237 167 113 77 53 42 39 46 64 71 62 42 23 21 35 59 73 71 75 90 105 120 132 119 83 49 31 39 111 264 377 403 301 314 340 353 344 321 295 191 90 39 19 12 7 3 1 1 5 11 18 23 22 15 8 5 5 5 5 5 5 6 6 8 9 9 10
7 7 7 7 7 7 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 39 112 216 392 686 749 603 357 128 52 29 26 33 30 21 12 8 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 14 35 77 95 104 119 149 159 154 150 153 133 106 91 95 114 139 163 219 280 288 256 226 200 182 160 123 102 92 94 89 69 44 24 16 20 39 56 63 63 64 67 73 88 109 119 130 151 191 267 395 405 347 286 299 323 326 314 300 295 193 97 38 12 8 4 2 1 3 5 7 8 9 9 3 2 2 3 4 5 6 7 8 9 10 11 11 12
8 8 7 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 9 36 121 288 511 760 923 825 623 396 201 97 38 12 3 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 3 19 63 156 225 274 280 273 266 257 250 240 220 211 181 170 178 197 187 197 205 199 201 222 257 293 306 229 184 156 131 106 87 70 48 30 19 25 45 65 76 74 73 98 148 214 273 326 371 407 436 441 353 268 230 264 312 309 297 291 286 218 141 76 33 16 6 3 4 7 11 13 14 14 12 6 4 3 3 5 6 6 7 8 8 10 12 12 12
8 8 9 9 8 9 8 7 5 5 5 5 5 5 5 5 5 5 5 4 5 5 3 1 0 0 0 0 0 0 0 0 0 0 1 2 1 7 38 117 297 549 793 946 904 699 480 273 119 36 11 2 0 0 0 0 0 0 1 5 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 4 21 63 134 214 270 300 312 314 304 305 320 356 357 330 294 254 196 151 117 98 103 141 208 275 299 234 175 145 121 94 70 94 122 99 34 17 28 53 80 97 91 134 222 326 407 450 461 441 399 354 287 244 226 231 245 257 255 253 256 241 209 168 123 78 36 13 6 9 14 16 16 16 16 13 8 4 3 3 4 5 6 7 7 10 11 11 12
7 7 8 9 9 8 7 6 5 5 5 5 5 6 5 5 5 5 5 4 5 6 5 2 1 0 0 0 0 0 0 0 0 0 0 1 1 3 23 90 235 483 726 857 813 582 316 146 65 32 12 4 1 0 0 0 0 2 7 11 7 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 0 0 0 0 0 0 13 57 152 254 329 365 367 345 365 397 439 494 497 434 325 194 106 61 38 35 55 98 146 179 170 127 92 66 53 57 96 164 133 49 12 8 44 107 149 112 130 215 322 407 438 402 340 287 267 253 249 245 240 235 227 230 238 246 249 251 245 223 177 105 44 14 6 9 13 15 16 18 19 12 6 3 2 3 3 5 6 6 8 9 9 10
6 6 7 8 9 7 8 7 6 5 5 6 5 5 5 5 5 5 5 4 4 5 5 4 1 0 0 0 0 0 0 0 0 1 3 4 4 4 4 20 90 269 558 744 730 526 240 98 69 70 50 26 11 3 2 5 8 7 12 23 19 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 11 43 110 206 298 359 386 391 450 478 526 612 649 545 375 203 96 51 24 13 16 34 67 98 112 106 92 83 80 82 83 60 32 15 5 0 37 116 161 123 96 154 251 347 401 363 287 238 231 252 281 286 261 212 155 165 194 216 221 219 223 225 202 133 62 23 7 4 6 11 15 19 22 17 10 4 1 2 1 2 4 5 6 8 9 9
5 5 6 7 8 8 7 6 5 5 5 6 5 6 6 6 6 5 5 5 5 6 6 4 2 0 0 0 0 0 0 0 0 0 2 3 5 5 5 5 14 99 360 640 682 534 282 84 56 51 46 34 22 14 10 10 12 15 15 15 11 2 1 6 9 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 8 44 103 165 228 310 389 452 517 515 585 703 783 620 412 240 131 72 35 12 5 15 40 62 78 90 103 113 115 114 106 79 42 18 9 7 26 90 119 105 70 94 178 286 377 392 327 281 283 332 385 379 311 201 89 100 138 176 193 185 165 155 130 81 39 16 5 2 1 5 13 21 25 23 15 8 3 1 0 1 1 2 4 5 6 7
5 5 5 6 7 7 7 6 5 6 7 7 6 6 6 6 6 5 5 6 7 7 6 4 2 1 0 0 0 0 0 0 0 1 4 5 5 5 5 5 11 70 245 544 668 574 352 111 23 13 12 11 10 14 20 21 30 76 48 21 9 12 26 29 26 18 14 10 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 17 43 94 171 287 435 466 453 469 410 438 524 600 527 419 339 250 139 58 20 8 17 42 69 88 107 129 151 161 164 159 144 111 74 41 19 12 51 80 87 79 86 149 251 368 462 453 394 350 340 353 342 286 219 172 213 236 241 232 206 149 103 62 28 10 4 2 0 0 2 14 22 26 27 23 15 8 3 1 0 0 0 1 2 3 4
4 4 5 6 7 7 7 6 6 6 7 7 6 6 6 6 6 5 5 5 6 7 5 3 1 0 0 0 0 0 0 0 0 2 4 5 4 4 4 4 4 19 182 432 626 585 388 159 5 2 1 1 5 17 61 142 178 168 92 38 17 28 63 99 96 73 48 29 31 47 46 3 1 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 18 95 108 160 254 389 508 369 270 245 180 161 206 285 362 424 450 361 218 111 77 46 44 66 91 107 126 151 180 206 220 212 189 164 126 79 40 17 30 63 104 146 186 242 327 443 553 568 465 368 296 249 213 148 138 173 225 277 312 298 243 152 104 54 19 2 0 0 1 2 5 28 35 34 30 25 20 13 8 5 3 2 1 1 1 1 2
4 3 4 5 6 6 7 6 6 6 7 7 7 7 7 6 5 5 5 5 5 6 6 4 2 1 0 0 0 0 0 0 1 2 2 2 1 2 3 3 3 3 145 345 506 534 356 144 10 2 0 1 8 24 55 119 134 113 66 29 15 26 71 153 218 202 143 81 52 49 37 12 24 29 29 23 12 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 25 88 96 154 237 266 105 47 39 39 23 3 32 130 282 433 335 282 258 249 240 163 119 106 108 111 128 159 203 257 336 317 267 221 183 141 87 44 49 112 226 338 427 490 540 590 598 531 419 368 344 321 274 200 180 177 174 182 186 173 149 123 114 80 45 20 7 7 12 27 49 81 68 46 29 24 21 17 15 12 9 5 4 3 3 2 2
5 4 4 4 5 5 6 5 5 6 6 6 6 6 6 6 5 5 5 5 4 5 5 4 2 0 0 0 0 0 0 0 1 1 1 1 2 2 2 3 2 16 115 330 460 453 297 88 11 1 1 11 32 57 82 100 64 40 20 6 3 10 37 96 190 213 184 132 93 115 91 82 105 106 105 95 65 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 31 58 39 27 40 35 0 0 1 0 0 0 9 41 113 194 159 214 313 411 463 392 297 208 145 116 126 166 238 347 526 493 380 256 160 117 108 122 162 241 348 439 514 574 643 619 531 419 344 346 351 325 262 214 148 94 55 35 32 25 18 31 77 100 92 65 38 33 52 109 173 211 157 75 29 23 20 20 19 17 14 10 8 7 6 4 3
5 5 5 5 4 5 5 5 5 5 6 6 6 6 6 6 5 5 4 4 3 4 4 3 2 0 0 0 0 0 0 0 0 1 1 1 1 2 3 3 3 47 164 374 446 386 224 29 7 1 5 20 71 127 161 166 132 93 58 31 17 10 7 15 46 74 74 60 52 74 63 86 112 113 96 72 38 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 11 26 93 86 61 35 22 30 13 1 0 0 0 0 0 0 0 0 7 38 180 373 522 585 528 447 309 190 123 112 142 215 374 629 594 438 266 141 125 177 252 337 420 431 400 389 434 583 525 410 312 275 279 259 208 157 147 83 38 13 4 2 1 0 1 10 44 67 72 65 61 96 200 288 306 227 112 46 25 27 25 23 21 19 17 16 14 12 9 7
5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 4 4 3 3 4 5 4 3 1 0 0 0 0 0 0 0 0 0 0 1 2 3 4 7 78 231 428 474 356 172 11 1 0 3 26 85 163 198 207 202 174 137 99 64 38 8 1 4 7 7 4 1 0 0 20 36 41 30 14 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 46 129 143 86 213 191 118 68 95 43 10 2 0 0 0 0 0 0 2 16 63 166 272 320 313 269 274 191 114 66 57 72 113 258 454 472 356 231 154 163 227 290 303 280 258 258 287 369 498 479 376 288 239 222 180 113 66 52 26 14 8 5 2 1 1 0 1 9 21 31 39 54 126 241 321 333 264 127 52 23 26 28 28 27 26 26 29 27 23 20 16
5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 4 4 3 4 3 4 5 5 3 2 1 0 0 0 0 0 0 0 0 0 1 2 3 5 8 66 246 429 504 369 145 15 0 0 0 21 63 117 120 112 105 108 111 97 70 37 2 0 0 0 0 0 0 0 0 1 3 4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 13 113 441 481 243 156 104 62 42 66 37 17 5 0 0 0 0 0 0 6 18 51 101 137 101 64 39 45 29 15 10 17 33 54 123 210 256 240 207 190 200 228 253 265 265 256 254 295 388 478 481 398 324 271 234 181 105 48 16 4 7 11 13 10 9 10 12 12 10 7 11 17 61 204 332 387 360 254 87 32 16 19 26 31 32 32 32 34 32 29 27 26
5 5 5 5 5 5 5 5 5 5 6 6 7 7 6 5 4 4 4 3 4 4 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 2 3 4 8 23 232 399 455 351 108 20 0 0 0 12 29 40 25 11 3 1 15 23 21 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 19 92 422 529 368 131 23 7 5 8 4 5 4 1 0 0 0 0 1 4 5 6 11 21 34 15 2 0 0 5 16 33 54 73 81 97 123 155 191 222 251 277 296 306 310 307 298 315 399 478 499 450 376 311 268 241 132 57 16 1 2 6 12 17 18 23 34 39 32 15 21 44 144 339 460 444 335 175 22 9 8 15 26 34 33 32 31 29 27 26 25 26
5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 4 4 4 3 3 3 4 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 44 217 361 377 267 65 13 0 0 0 2 5 5 0 0 0 2 3 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 1 1 1 0 10 53 180 612 542 232 5 0 0 0 0 2 2 1 0 0 0 0 0 0 0 1 3 6 10 3 1 1 3 12 28 49 66 67 58 58 76 116 179 251 305 343 363 345 313 277 240 219 290 391 480 521 473 378 304 245 112 45 12 1 0 3 13 22 28 36 73 116 147 152 148 279 384 434 401 283 158 55 4 3 9 18 29 37 32 29 27 24 21 20 20 19
5 5 5 5 5 5 5 5 5 6 6 6 6 4 4 4 4 3 4 4 4 3 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 61 183 309 288 173 43 0 0 0 0 0 0 0 0 0 0 6 12 13 10 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 4 19 30 17 12 31 138 623 554 319 90 2 0 0 0 0 1 1 0 0 0 0 0 0 0 0 1 0 0 0 0 6 14 22 29 38 40 32 21 26 51 100 173 281 328 351 356 318 266 236 208 167 191 252 356 469 516 406 317 231 105 40 10 1 0 2 18 34 48 61 114 209 324 445 551 525 436 318 185 71 21 3 6 10 21 30 34 30 22 19 19 19 18 16 14 11
5 5 5 5 5 5 5 5 6 6 7 6 5 4 3 4 4 4 3 4 3 3 4 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 45 118 191 183 93 26 1 0 0 0 0 0 0 0 0 1 7 16 20 17 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 11 8 2 0 0 0 0 0 0 17 132 282 330 94 16 76 264 259 173 70 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 11 21 29 31 34 26 16 7 9 32 82 166 293 306 292 263 225 200 207 216 222 235 227 276 374 483 456 410 334 226 116 44 10 1 4 33 69 93 105 127 186 268 365 455 311 171 79 30 7 6 15 23 24 24 24 23 19 14 14 15 15 14 13 11 8
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