Vorticity
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nan -5 -8 -8 -7 -3 0 3 5 6 7 7 8 10 11 13 15 16 17 18 19 19 16 11 6 4 3 3 4 5 7 7 8 9 9 9 9 8 8 8 9 10 12 14 15 15 15 13 11 9 8 8 9 10 10 10 11 11 11 12 12 13 14 14 14 13 12 11 10 10 9 9 9 9 10 10 10 10 10 10 11 12 12 12 11 11 10 10 10 10 10 10 10 12 12 13 13 12 12 12 13 13 12 12 11 10 10 10 10 9 9 8 6 5 5 6 8 10 12 14 14 14 14 13 13 13 15 18 19 20 20 18 15 14 14 13 13 12 11 10 8 7 6 6 6 7 7 8 8 8 9 9 9 8 8 9 9 10 11 12 12 12 12 12 12 11 10 10 10 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 nan
nan -7 -6 -3 1 4 6 7 7 8 8 9 11 13 15 17 18 18 17 15 13 10 6 2 -0 0 2 4 7 9 10 10 10 9 8 7 6 5 6 7 9 11 13 14 14 14 14 13 11 10 9 10 10 11 10 10 10 10 10 10 11 12 12 13 13 13 12 12 11 10 10 9 8 8 9 9 9 9 9 9 10 10 10 11 10 10 10 10 11 11 11 12 11 12 12 12 12 12 12 12 12 11 11 11 11 12 12 12 11 11 10 10 9 9 9 9 10 11 13 14 13 13 12 11 11 11 14 17 18 19 19 17 16 14 14 13 12 11 10 9 8 6 6 6 6 6 7 7 8 8 9 8 8 8 8 8 9 10 11 12 12 12 12 12 12 11 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 nan
nan -4 -0 4 7 8 8 9 9 10 11 13 15 17 19 20 20 18 13 9 6 3 2 1 3 4 6 7 9 10 11 11 10 8 6 5 4 4 6 7 9 12 14 14 13 13 12 12 11 11 11 11 11 10 10 9 9 9 9 9 9 9 11 12 13 13 13 12 11 11 10 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 11 11 11 12 12 11 11 11 11 12 12 12 11 9 9 9 10 11 12 12 12 12 13 13 14 14 14 14 14 14 14 14 13 12 12 11 11 12 14 16 17 18 18 17 16 15 14 13 12 11 9 8 7 6 6 6 7 7 8 8 9 9 9 9 8 8 8 9 9 10 11 11 12 11 11 11 11 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 8 8 nan
nan 1 5 7 9 9 8 9 11 12 14 17 19 22 22 22 20 14 9 6 4 4 5 7 9 9 9 9 9 9 10 10 9 7 5 4 4 5 7 8 10 13 14 13 12 11 11 11 11 11 11 11 11 11 9 8 8 8 8 8 8 9 10 11 12 13 13 13 11 10 10 9 8 7 7 8 8 8 8 7 7 7 7 7 8 9 10 10 10 10 10 11 12 11 11 10 10 11 12 12 11 10 8 8 8 9 10 11 12 13 14 15 16 17 18 18 18 18 16 14 13 12 12 12 13 14 15 16 17 17 17 17 16 15 14 13 12 11 9 7 6 6 6 8 10 10 10 11 11 11 11 10 9 9 9 9 10 10 11 10 10 9 9 10 11 11 10 10 10 10 10 10 10 10 9 10 10 10 10 10 9 9 9 9 8 8 8 8 nan
nan 5 8 9 9 9 9 10 11 13 16 19 22 23 23 21 16 9 6 4 4 6 9 11 13 13 12 11 10 9 9 9 8 8 7 6 6 7 8 10 11 12 12 11 11 10 10 10 11 11 11 12 12 11 10 9 8 8 9 10 10 11 11 12 13 13 14 13 12 11 9 8 7 7 7 8 9 9 9 9 8 8 8 8 9 9 9 9 9 9 10 11 12 12 11 11 11 12 12 12 12 11 9 8 7 8 10 11 12 13 14 16 17 18 19 20 20 19 17 15 13 12 12 13 15 16 16 16 16 16 16 16 16 15 14 13 12 10 9 7 6 6 7 10 13 14 14 14 13 13 12 12 11 11 11 11 11 11 11 10 9 8 8 9 11 12 12 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 nan
nan 8 9 10 9 9 9 10 11 12 15 19 20 20 18 14 9 5 4 5 6 7 9 11 13 15 15 14 12 10 9 9 9 10 10 10 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 12 12 12 11 10 9 9 9 10 11 12 13 13 13 13 13 13 13 12 11 10 8 8 7 8 9 10 11 11 12 11 11 10 10 10 10 9 8 8 9 10 11 11 11 11 11 12 13 12 12 12 11 10 9 9 10 11 12 14 14 16 17 19 20 20 20 19 16 15 13 13 13 14 15 16 16 15 15 15 15 15 15 15 14 13 11 9 8 6 5 6 8 13 16 17 17 16 15 15 14 14 14 14 14 14 13 13 12 11 10 8 8 10 11 12 12 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 nan
nan 9 10 10 9 9 10 10 11 12 13 15 15 13 11 8 4 4 6 7 8 8 8 9 12 14 15 14 12 10 8 9 10 12 13 13 12 11 10 9 8 8 9 11 12 13 14 13 12 12 11 12 12 12 11 10 10 9 9 10 11 12 13 14 13 13 12 14 14 15 14 13 12 10 9 9 9 10 11 13 14 14 12 11 11 11 10 10 9 8 8 9 10 10 10 11 12 13 13 13 13 13 12 11 10 10 10 11 12 13 13 15 17 18 19 19 19 18 16 14 14 13 13 13 13 13 14 14 14 14 15 15 15 15 14 12 10 8 7 6 7 9 12 16 19 19 18 17 16 15 15 15 16 16 16 16 15 14 14 13 12 10 10 11 11 12 11 11 10 10 10 9 9 8 8 8 8 8 8 9 9 8 8 8 8 8 9 9 nan
nan 9 9 10 11 11 11 11 11 11 12 11 11 9 8 7 6 8 10 11 10 10 9 9 11 12 13 13 11 9 7 7 9 11 14 15 13 12 10 9 8 7 9 12 14 16 16 15 14 12 11 11 11 11 10 10 9 9 9 10 10 11 12 12 11 11 12 14 15 16 16 15 14 13 11 10 10 10 12 14 14 13 12 11 11 11 11 10 9 8 8 9 9 10 10 10 12 13 14 14 13 12 10 9 9 10 10 10 11 11 12 13 15 16 17 18 18 17 16 14 13 13 12 11 11 11 12 13 14 15 15 15 14 13 12 11 9 8 7 8 9 12 15 18 19 18 17 16 15 14 15 15 15 16 17 17 16 15 14 13 12 11 11 11 11 11 10 10 10 10 9 9 8 8 7 8 8 8 8 9 9 9 8 8 9 9 10 10 nan
nan 11 12 12 14 13 13 12 11 11 11 10 10 9 8 9 10 11 12 13 12 12 11 11 11 11 11 11 10 8 7 6 7 9 11 13 12 11 9 8 8 8 10 13 15 17 17 15 14 12 11 10 9 10 10 10 10 9 9 8 8 9 9 9 9 9 11 13 15 15 16 15 14 13 12 11 11 11 12 13 13 13 12 12 12 12 13 11 10 8 7 8 9 10 10 11 13 15 15 14 12 10 9 8 9 10 11 11 10 10 11 12 14 15 16 17 17 16 15 14 13 12 10 9 9 9 11 13 14 15 14 13 12 12 11 10 9 9 9 10 11 14 17 18 18 18 16 15 14 14 14 14 14 14 15 16 16 15 14 13 11 11 10 10 10 10 10 10 10 10 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 11 12 nan
nan 17 17 16 16 15 13 12 11 10 10 10 10 10 11 11 12 12 13 13 12 13 13 12 12 11 11 10 9 7 6 5 5 6 8 9 10 9 8 7 7 8 10 13 15 15 15 14 13 11 10 10 10 10 11 12 12 11 10 8 7 7 7 8 8 9 11 13 14 15 15 14 13 12 12 12 12 12 12 12 12 13 12 13 13 14 15 13 11 9 8 9 9 10 11 11 13 15 15 13 11 9 9 9 10 10 11 12 11 11 12 13 15 16 17 18 17 16 15 14 12 11 9 8 9 10 11 13 14 13 12 11 11 10 10 10 9 9 10 11 13 15 17 18 18 17 15 14 13 13 13 12 12 13 14 15 15 14 13 12 10 10 10 10 10 10 10 10 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 10 11 12 12 nan
nan 20 19 17 15 13 11 11 10 10 10 10 11 12 12 13 13 13 12 12 12 12 13 13 12 11 10 9 8 6 5 5 4 5 6 6 8 8 8 8 7 7 9 12 14 15 14 13 11 10 10 10 12 13 14 15 14 14 12 9 8 7 7 7 7 9 11 13 14 15 14 13 12 11 11 12 12 12 11 12 12 13 13 13 15 16 16 14 12 10 9 10 11 11 11 10 11 12 12 11 10 8 8 9 10 10 11 12 13 15 16 17 18 18 18 18 17 16 15 14 13 12 10 10 10 11 11 12 12 11 10 10 9 10 10 10 10 11 12 13 14 16 17 18 17 16 15 14 13 13 13 12 12 12 13 14 14 13 11 10 10 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 11 11 12 13 nan
nan 15 14 13 11 10 10 10 11 11 10 10 10 11 12 13 14 13 13 12 11 11 12 13 11 9 7 5 4 4 5 5 5 5 6 6 8 9 9 9 8 8 9 11 13 14 14 13 11 11 11 11 12 14 16 17 17 15 14 11 9 8 6 6 6 8 11 13 14 15 14 12 11 10 11 11 12 12 12 12 12 12 12 12 15 16 16 15 12 11 11 12 13 12 10 8 7 8 9 9 8 8 8 9 10 10 11 12 13 14 16 18 19 19 19 18 17 15 15 14 14 13 12 11 11 11 11 11 10 9 9 9 9 9 10 11 11 12 13 14 16 17 18 17 17 16 15 14 13 13 13 12 12 12 12 13 12 12 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 8 8 8 8 8 8 9 10 11 12 12 12 nan
nan 7 8 10 10 10 10 10 11 11 11 10 10 10 11 12 13 13 13 13 12 12 12 11 9 6 2 -1 -2 0 3 5 6 8 7 8 9 10 11 11 10 10 10 11 12 14 14 14 13 11 11 11 12 13 14 15 16 15 14 12 11 9 7 5 5 6 10 13 15 16 15 13 12 11 11 12 13 14 13 11 10 9 10 11 12 13 13 14 12 12 13 13 13 12 10 7 5 6 7 8 8 8 9 9 10 10 10 10 11 11 13 15 17 18 18 17 16 15 15 14 14 14 13 12 11 10 10 10 9 9 8 9 9 11 11 12 13 14 14 15 16 17 17 17 16 16 15 14 13 13 13 12 12 12 12 12 11 10 9 8 7 7 8 8 9 9 9 9 9 10 10 10 10 9 9 9 8 8 8 7 8 8 9 10 11 12 12 12 nan
nan 5 7 9 10 10 10 10 11 11 12 12 11 10 10 10 12 13 13 13 13 13 11 9 6 3 0 -2 -3 -2 1 4 6 8 9 9 10 11 12 13 13 13 12 12 12 13 13 13 12 12 11 10 10 10 11 11 12 12 12 12 11 10 8 6 5 6 9 12 15 16 17 15 14 13 12 13 14 16 15 11 8 5 5 7 8 9 10 12 13 14 14 14 13 11 9 7 5 6 7 9 9 9 9 9 9 9 9 8 8 9 11 13 15 17 17 17 16 15 14 14 14 13 12 11 10 10 9 10 9 8 9 9 11 12 13 14 14 15 15 16 16 16 16 16 16 15 15 14 14 13 13 13 12 12 12 11 10 9 8 7 7 7 7 8 9 9 9 10 10 10 10 10 9 9 9 9 8 8 8 8 8 9 10 11 11 12 11 11 nan
nan 7 9 10 10 10 10 10 10 11 13 13 12 11 9 10 11 11 12 11 11 11 10 8 6 5 3 2 1 1 1 3 4 6 8 9 10 11 13 14 15 14 14 13 13 13 13 12 12 11 11 10 9 9 9 10 10 11 11 12 12 12 11 9 7 7 9 11 14 16 16 15 13 13 12 13 15 17 16 12 7 3 1 3 5 7 10 12 14 15 14 12 11 9 8 7 6 7 8 9 9 9 8 8 7 7 6 6 7 8 9 11 14 15 17 17 16 15 14 13 13 12 11 10 10 10 9 9 8 8 8 9 11 13 14 15 15 15 15 15 15 15 15 15 14 14 14 14 14 13 13 13 12 12 11 10 9 8 7 6 6 7 7 9 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 9 10 11 11 11 11 11 nan
nan 9 10 10 11 11 10 10 10 11 13 13 11 9 7 8 11 11 10 9 7 7 7 7 7 7 6 7 8 7 5 5 4 6 7 9 10 11 12 14 15 15 15 14 14 14 13 13 12 12 11 10 9 9 10 10 11 11 11 12 12 12 12 11 10 9 10 11 12 13 14 12 11 10 10 11 15 18 17 14 9 4 2 2 6 9 12 14 15 14 12 10 8 7 6 6 6 6 7 7 8 8 8 8 8 7 7 7 7 8 9 11 13 14 16 17 16 15 14 13 13 12 11 11 10 10 9 7 6 6 7 9 11 13 14 14 14 14 15 15 15 15 14 14 13 13 13 13 13 13 13 13 12 11 10 9 8 8 7 7 7 7 8 10 10 11 11 11 11 10 9 9 9 9 9 8 8 8 8 8 9 10 11 11 11 11 10 10 nan
nan 9 9 11 12 12 12 10 10 11 12 12 9 6 5 5 8 11 11 10 7 5 5 5 6 7 8 9 11 12 11 9 8 7 9 11 12 12 13 14 14 15 15 15 15 14 14 13 13 12 11 11 10 10 11 11 12 12 11 11 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 11 14 16 16 15 12 8 6 7 10 13 14 15 14 11 9 8 7 6 5 5 5 6 6 7 8 9 10 11 11 11 11 11 11 11 12 12 13 15 16 17 16 15 14 13 13 12 12 11 10 10 8 6 5 5 6 8 11 12 12 13 13 13 14 14 14 13 13 12 12 12 12 12 13 12 12 12 11 10 9 9 8 8 8 8 8 9 9 10 11 11 11 11 10 10 10 10 10 9 9 9 9 8 9 9 10 11 11 11 11 10 10 10 nan
nan 8 10 12 14 13 12 9 8 9 11 10 7 4 2 3 6 9 11 11 11 8 6 6 7 8 9 10 12 14 14 13 12 11 13 14 14 14 14 15 14 15 15 15 15 14 14 13 12 12 11 11 11 11 11 12 12 12 11 11 11 11 12 12 12 11 11 11 10 10 9 10 10 10 10 10 11 12 12 12 12 12 13 13 14 15 15 14 12 9 8 8 7 7 6 5 5 6 7 8 9 11 12 13 14 14 15 15 15 15 15 15 16 17 17 17 16 15 14 13 13 13 12 12 11 9 7 5 4 4 6 8 10 11 11 12 12 13 13 13 13 13 12 11 11 12 12 12 12 12 11 11 10 9 9 9 8 8 8 9 9 10 10 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 11 12 11 10 10 9 9 nan
nan 9 11 14 15 13 9 6 4 6 9 9 6 3 2 3 5 7 9 10 11 10 9 9 9 9 10 11 12 13 14 15 15 15 16 16 16 16 16 15 14 14 14 14 14 14 14 13 12 12 11 11 11 11 11 12 12 12 11 11 11 11 12 12 11 11 11 10 10 9 9 10 10 10 10 9 9 8 7 8 10 14 17 18 17 15 14 12 10 8 8 8 8 8 8 7 7 8 9 10 11 11 12 12 13 13 14 15 16 17 18 18 18 18 17 16 15 14 13 13 13 13 12 12 11 9 7 5 5 5 6 8 9 10 11 12 13 13 13 13 12 12 11 11 11 12 12 12 12 11 11 10 10 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 10 10 11 11 11 10 9 9 9 9 10 11 11 12 11 10 9 9 9 nan
nan 11 12 15 16 13 8 3 1 3 8 9 7 5 3 4 6 6 7 7 8 10 11 12 11 11 11 11 12 13 14 15 15 16 17 18 18 17 16 15 14 13 13 14 14 14 14 13 12 12 11 10 11 11 11 12 12 11 11 11 11 11 11 12 11 11 10 10 10 10 10 10 10 10 10 9 8 7 7 8 10 14 17 18 17 14 12 10 8 7 6 6 6 7 8 8 8 9 10 11 11 11 11 11 11 11 12 14 16 17 19 20 19 18 17 15 14 13 13 13 13 13 13 12 11 9 7 7 6 6 7 8 9 10 11 12 13 13 13 13 12 12 11 11 12 12 12 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 9 10 10 11 11 11 11 10 9 9 9 10 11 11 11 11 10 10 9 9 nan
nan 12 13 15 15 13 8 3 1 3 8 10 9 7 5 6 8 9 9 9 9 10 12 13 13 13 12 12 12 13 14 14 15 16 17 18 17 17 16 14 13 13 13 14 14 14 14 14 13 12 11 11 11 11 12 12 12 11 11 10 11 11 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 12 14 16 17 15 14 11 9 8 7 5 4 4 4 5 7 8 9 10 11 11 11 11 10 10 10 11 13 15 17 18 19 19 18 16 15 14 13 13 13 13 13 12 11 10 9 8 8 7 8 8 9 10 11 12 12 13 13 13 12 12 11 11 11 12 12 12 12 12 12 11 10 10 10 11 12 12 11 11 11 11 10 9 8 8 7 7 8 9 10 10 11 11 12 11 11 10 10 10 10 11 11 11 11 10 10 9 9 nan
nan 12 13 15 15 12 9 5 3 5 8 10 9 9 7 8 11 13 13 13 12 12 14 14 14 14 13 12 12 13 13 14 15 15 16 16 16 16 15 14 13 13 13 13 14 14 14 13 13 12 11 11 11 12 12 13 13 12 11 10 10 11 12 13 13 12 11 10 10 11 11 10 10 10 10 11 12 12 13 14 15 16 15 14 13 11 10 9 9 9 8 6 5 4 5 6 8 9 10 11 11 11 11 11 11 12 13 13 15 16 17 18 18 16 15 14 13 13 13 13 13 13 12 11 10 9 9 9 8 8 9 10 11 12 13 14 13 13 12 11 11 11 11 12 12 12 12 12 12 11 10 9 9 9 11 13 13 12 11 11 10 9 9 8 7 7 7 8 9 10 10 11 11 12 11 11 11 11 11 11 11 12 12 11 11 10 10 9 nan
nan 11 13 16 15 12 9 6 4 6 8 8 8 8 9 11 14 15 16 15 15 15 15 15 15 15 13 12 12 12 12 12 13 13 13 14 14 15 14 14 13 13 13 13 13 13 12 12 11 11 11 11 11 12 13 13 14 13 11 10 10 10 12 13 13 12 11 11 11 11 11 11 11 11 12 12 13 13 14 15 17 17 14 11 9 7 7 9 11 12 12 10 9 8 8 8 9 10 10 11 11 11 11 12 12 13 14 14 15 16 17 17 17 16 15 14 13 12 12 13 13 12 12 10 9 9 9 9 9 8 9 10 11 12 13 14 13 12 11 10 10 11 11 11 12 12 13 12 12 11 10 9 9 9 11 12 12 12 11 10 10 9 8 8 7 7 7 8 9 9 10 11 11 11 11 11 11 11 12 12 12 12 12 11 11 10 10 9 nan
nan 10 13 15 13 11 8 6 6 7 8 8 8 8 10 13 15 16 15 15 15 14 15 15 15 15 13 12 11 10 10 10 10 11 11 12 13 13 14 13 13 13 12 12 12 12 11 11 10 10 10 10 10 10 11 12 13 13 12 11 10 11 12 12 12 11 11 11 11 12 11 11 12 12 13 14 13 12 13 14 15 15 11 8 5 4 5 7 10 12 13 14 12 11 10 10 10 10 10 10 10 11 11 11 11 13 14 14 15 16 16 17 17 16 14 13 12 12 12 12 12 12 11 10 9 9 9 9 8 8 8 10 10 11 12 13 12 11 10 10 10 11 11 11 12 12 12 12 11 11 10 10 9 9 10 11 11 11 10 9 9 8 8 7 7 6 7 8 8 9 10 11 11 12 11 11 11 12 12 12 12 12 12 12 11 10 10 9 nan
nan 10 12 12 9 8 7 7 9 11 10 10 10 10 11 13 14 14 14 13 13 13 13 14 14 13 12 11 9 9 9 9 9 10 10 12 13 13 14 13 13 12 12 12 12 11 11 10 10 9 10 9 9 9 9 10 11 12 11 11 11 12 13 12 11 10 10 11 11 10 10 11 11 13 14 14 12 11 10 11 11 11 9 6 4 2 3 5 8 10 12 13 12 11 11 11 11 11 11 11 10 10 10 10 11 12 13 14 14 15 16 17 17 16 15 13 12 12 12 12 12 12 12 11 10 9 9 8 8 8 8 9 10 11 12 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 10 9 9 9 9 9 8 8 8 7 7 6 6 6 7 8 9 11 11 12 12 12 12 12 12 12 12 12 13 12 12 11 10 9 9 nan
nan 11 10 9 8 8 10 12 14 14 14 13 13 12 12 12 12 12 12 11 11 11 11 12 12 12 11 10 9 8 8 8 8 9 10 12 13 14 14 14 13 12 12 12 11 11 11 11 10 10 10 10 9 9 9 10 10 10 9 10 10 12 13 12 11 10 9 10 9 9 9 9 11 12 13 13 11 9 8 7 8 8 8 6 5 4 4 5 6 8 9 10 11 10 10 10 10 11 11 11 11 10 11 11 12 12 13 14 14 15 16 16 16 16 15 14 12 12 12 12 12 12 12 11 10 10 9 9 8 8 9 9 10 11 11 11 11 11 11 11 11 11 11 11 12 11 12 12 12 11 11 11 10 10 9 8 8 8 8 8 8 7 7 6 6 5 6 6 8 9 11 12 12 12 12 12 12 13 13 13 13 12 12 11 10 9 9 9 nan
nan 11 9 9 10 11 13 15 17 17 16 15 14 13 12 11 11 10 11 11 11 11 11 10 10 10 10 9 9 8 8 9 9 9 10 12 13 15 15 14 13 12 12 11 12 11 11 11 10 10 10 11 11 10 10 11 10 9 9 8 9 11 12 12 11 10 9 9 9 9 9 9 10 11 12 11 10 8 7 6 6 7 7 7 7 6 6 6 7 8 10 11 11 11 10 10 9 10 10 10 11 11 12 12 13 13 13 13 14 15 15 16 16 16 15 14 13 12 12 12 12 13 12 12 11 10 10 10 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 10 9 9 8 8 8 8 8 8 8 7 7 6 6 6 6 6 8 9 11 12 12 12 12 12 12 13 13 13 12 12 11 10 9 9 9 9 nan
nan 12 11 11 12 13 14 15 15 15 15 14 13 12 11 9 9 9 9 10 10 10 10 10 9 10 10 9 9 9 9 9 9 9 10 11 13 14 15 15 14 13 12 11 11 11 11 11 10 10 10 11 11 12 12 12 12 11 10 9 9 10 11 11 10 10 9 9 9 9 10 10 10 11 10 9 9 9 9 9 9 9 8 8 8 8 8 8 9 10 12 14 14 13 12 11 10 10 10 10 11 11 12 13 13 13 13 13 14 14 15 16 16 16 15 14 13 12 12 12 12 13 13 12 12 12 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 10 9 8 7 7 8 9 9 9 8 8 7 7 6 6 6 7 8 9 10 11 12 12 12 12 12 12 12 12 12 11 11 10 9 9 9 10 nan
nan 12 11 12 13 13 14 13 12 12 12 11 11 10 8 7 7 7 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 13 15 15 14 13 12 11 11 11 10 10 10 9 9 10 11 12 14 14 13 13 12 11 10 9 9 9 9 10 10 11 12 12 11 12 11 10 8 7 8 9 12 13 13 12 10 9 8 8 10 10 10 11 13 14 15 15 14 13 11 11 11 11 12 12 12 12 13 13 14 14 14 15 15 16 16 16 15 14 13 12 12 12 12 13 13 13 13 12 12 12 12 12 12 12 12 12 12 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 10 10 8 7 7 7 7 9 10 10 10 9 9 8 7 7 7 8 9 10 10 11 12 12 12 12 12 12 12 12 11 11 10 10 10 10 10 10 nan
nan 12 11 11 12 13 13 12 11 10 10 10 9 8 7 6 6 6 7 8 9 9 10 10 11 11 11 11 11 11 11 11 10 10 10 10 11 12 14 14 14 13 12 11 10 9 9 9 9 8 8 8 10 11 13 14 14 14 14 13 12 8 6 6 8 9 11 12 13 13 12 11 10 8 7 7 8 10 12 15 14 13 12 10 9 9 10 10 11 11 12 13 14 15 14 13 12 12 12 12 12 12 12 11 11 12 13 14 15 16 17 17 17 16 16 15 13 12 12 12 12 13 13 13 13 13 12 12 12 13 13 13 13 12 11 11 11 11 12 13 13 12 12 11 11 11 11 11 11 10 10 9 9 8 7 7 8 9 10 10 10 10 10 9 9 9 9 9 10 10 11 11 12 13 13 13 12 12 11 11 10 10 10 10 10 10 10 11 nan
nan 11 11 11 12 13 14 14 13 12 11 11 10 9 8 7 7 7 8 9 10 10 11 11 12 12 12 12 11 11 11 11 11 11 10 10 10 11 13 14 14 13 12 10 9 9 8 9 8 8 8 8 9 11 12 12 12 13 14 14 12 9 5 5 6 8 11 12 12 11 10 10 8 7 8 9 10 11 11 12 12 12 12 11 10 11 11 11 11 11 11 12 12 13 13 13 12 11 11 11 11 11 11 11 10 11 12 13 15 16 17 17 18 17 16 15 14 13 12 12 12 13 13 13 13 13 12 12 13 13 13 13 13 12 11 10 10 10 11 13 14 14 13 11 11 11 11 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 13 12 12 11 11 10 10 11 11 11 11 11 11 11 nan
nan 11 11 11 13 14 15 16 16 16 14 13 12 10 10 10 10 10 11 11 12 13 13 13 13 13 13 13 12 12 11 11 11 11 11 11 11 11 12 13 13 13 12 10 9 8 8 8 8 9 10 10 11 12 12 12 12 12 12 12 11 9 7 7 7 9 11 11 10 9 8 7 7 8 9 10 11 11 10 9 8 9 10 10 11 12 13 13 13 12 11 11 11 11 12 12 11 11 10 10 11 11 11 11 11 11 11 13 14 16 17 17 18 17 16 15 14 13 13 13 13 13 13 13 13 12 12 12 12 12 12 13 12 12 11 10 9 8 10 12 13 13 13 12 11 10 10 10 9 9 9 9 9 10 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 nan
nan 11 11 12 13 14 15 16 17 16 16 15 13 12 11 11 12 12 13 13 14 14 14 14 14 14 13 13 12 12 12 11 12 11 11 11 11 11 12 12 13 12 12 11 9 9 9 8 9 9 10 12 12 14 14 13 12 11 11 11 10 10 10 9 10 9 10 10 9 8 7 5 5 6 7 9 10 11 10 8 7 7 7 9 10 12 13 14 14 13 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 13 15 16 17 18 18 17 16 15 14 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 11 10 9 9 9 10 11 12 12 11 10 10 10 9 9 9 8 9 9 10 11 12 12 12 12 12 12 12 12 12 11 11 11 12 11 11 11 11 11 11 11 11 11 11 10 11 11 11 12 12 12 12 12 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
6 7 7 6 6 9 11 12 11 9 9 10 11 13 14 13 15 15 13 13 13 9 6 5 5 4 1 0 0 0 8 18 13 0 2 3 1 0 0 0 0 0 0 0 2 9 11 11 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 0 0 0 0 6 19 16 7 6 13 33 76 90 69 48 43 60 88 95 84 57 22 8 3 2 5 8 4 2 10 17 18 16 18 20 19 13 6 1 1 2 12 44 113 210 301 349 343 304 233 165 100 46 10 2 0 0 0 0 0 1 3 4 5 4 1 1 1 1 0 0 0 0 0 0 0 0 0 0 3 10 24 38 41 29 11 3 0 0 0 0 0 0 0 0 0 1 8 18 25 25 17 8 5 2 1 0 0 0 2 9 67 173 160
6 6 6 5 6 8 11 12 11 9 7 9 10 12 13 13 15 15 14 14 14 11 7 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 28 64 61 43 24 13 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 4 1 0 0 0 0 0 0 0 3 6 6 2 1 2 8 27 71 58 34 19 28 64 117 146 130 67 18 3 1 0 0 0 0 0 2 5 8 14 21 21 15 6 1 0 1 23 78 172 304 431 492 486 440 373 294 197 100 28 5 1 0 0 1 5 11 16 24 32 37 28 21 14 8 3 2 1 2 3 4 5 4 2 0 2 8 20 31 33 29 22 14 6 2 0 0 0 0 0 0 0 0 3 6 6 5 6 16 15 8 3 1 1 1 4 19 78 144 127
5 5 5 5 6 8 9 10 9 7 7 8 9 11 13 13 14 16 14 13 14 14 11 7 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 57 126 139 72 22 14 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 15 19 17 11 10 20 42 55 76 64 22 0 0 0 0 0 0 0 0 2 6 11 15 15 13 7 1 0 2 32 104 221 373 508 551 529 480 434 359 252 141 54 11 1 0 18 43 61 59 47 52 61 70 82 73 57 38 22 11 9 13 24 27 19 8 3 1 1 5 12 20 21 19 18 17 14 9 5 3 2 0 0 0 0 0 0 0 0 0 1 3 7 11 11 7 3 2 5 40 117 172 144
6 6 6 6 6 7 9 10 8 7 7 7 9 11 12 13 14 14 11 12 13 13 11 7 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 12 19 18 13 2 5 3 0 0 0 0 0 0 1 2 4 1 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 2 5 14 20 21 19 16 11 15 16 25 40 50 34 9 0 0 0 0 1 5 9 10 3 3 3 1 0 3 29 98 219 383 556 616 567 480 393 300 206 130 75 35 3 0 63 112 129 113 81 80 86 99 115 140 124 89 55 36 37 64 80 76 58 34 16 5 1 2 6 14 19 21 22 23 24 26 25 22 16 8 4 2 0 0 0 0 0 0 0 1 3 8 10 7 4 4 4 68 157 196 158
5 5 5 5 5 6 7 8 8 7 6 7 9 10 11 12 14 13 10 10 12 13 11 8 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 3 1 0 0 1 0 0 0 0 0 0 1 3 9 21 36 45 44 33 14 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 12 27 40 45 36 17 5 1 8 29 57 65 16 0 0 0 0 0 1 4 6 4 1 0 0 0 2 16 67 169 321 494 587 548 453 343 238 155 108 67 32 5 3 106 157 158 134 115 122 121 155 213 260 254 219 175 147 156 215 149 99 63 34 14 5 1 0 4 13 19 25 31 38 44 47 50 52 46 35 20 11 7 4 3 2 0 0 1 10 24 29 15 7 5 6 9 107 178 184 132
5 5 5 5 5 6 8 7 6 6 5 6 7 8 10 10 12 11 9 9 10 11 10 9 6 5 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 1 3 9 19 36 57 61 42 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 20 45 66 64 46 25 9 2 7 19 29 5 2 0 0 0 0 0 0 0 0 0 0 0 0 1 7 36 108 230 380 505 522 463 372 277 197 138 84 44 22 28 90 121 118 112 127 168 218 275 336 443 651 725 584 413 299 259 128 54 16 2 0 0 0 0 3 10 15 20 27 37 49 60 66 70 69 61 47 34 25 19 13 8 2 1 2 25 62 80 26 9 5 11 38 147 180 145 86
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2 3 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 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 1 3 6 10 10 7 7 12 22 34 24 15 8 3 1 0 0 0 0 0 0 0 0 1 5 4 2 0 0 0 2 6 10 10 7 1 0 2 7 14 23 29 32 28 22 17 12 9 4 1 1 3 3 2 0 0 0 0 0 0 0 0 0 0 0 1 3 3 3 3 4 6 10 19 15 11 7 8 10 12 12 8 6 4 4 5 4 4 3 2 1 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 1 1 3 5 8 11 13 15 16 19 22 27
3 4 4 3 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 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 3 5 6 6 11 10 6 3 6 14 26 32 28 20 10 2 0 0 0 0 0 0 0 0 3 8 7 3 0 0 0 3 9 17 21 13 2 0 4 10 20 34 39 40 38 33 27 21 17 11 9 10 12 12 8 3 1 0 0 0 0 0 0 0 1 1 2 3 4 4 5 6 10 16 23 22 17 12 9 10 11 9 6 4 3 3 3 2 2 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 1 3 5 8 11 14 17 20 23 27 31 37 43 50
3 4 4 4 2 1 0 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 0 0 0 0 0 0 0 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 5 6 4 2 1 1 5 19 44 45 36 20 3 2 1 0 0 0 0 0 0 5 10 10 3 0 0 0 5 12 21 29 15 3 0 5 15 29 48 49 47 42 35 27 19 14 15 18 21 22 19 10 2 0 0 0 0 0 0 0 1 1 2 2 3 4 5 5 7 9 11 15 20 20 17 12 9 7 5 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 7 11 15 19 22 26 29 34 40 47 56 67 75 81
3 4 4 2 1 0 1 1 2 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 1 1 1 1 0 0 0 0 0 1 4 11 20 22 16 8 9 5 3 4 6 3 0 0 7 9 8 1 0 0 0 2 6 13 20 9 2 2 7 20 38 56 59 52 41 29 17 11 10 15 20 23 22 17 7 1 0 0 0 0 0 1 1 1 1 2 2 2 3 3 3 3 2 2 6 14 18 17 13 6 4 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 7 12 18 23 28 33 37 42 48 55 64 73 81 88 90 89
4 3 2 1 0 1 2 2 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 2 6 12 15 15 13 6 5 6 8 2 2 5 12 12 7 0 0 0 0 0 0 0 0 0 0 3 11 25 45 62 69 51 32 16 5 3 5 11 17 19 17 13 4 1 0 0 0 0 1 1 1 1 1 2 2 2 2 1 1 1 1 0 4 11 16 16 11 5 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 11 17 23 30 37 43 48 53 62 72 81 88 92 93 92 88 83
2 1 0 0 0 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 2 8 19 33 21 8 3 6 8 9 2 4 8 13 12 6 0 0 0 0 0 1 1 1 0 0 8 22 38 56 76 81 51 20 4 0 0 3 8 13 16 14 9 2 1 0 0 0 1 1 1 1 1 1 1 2 1 1 1 1 1 1 0 4 9 13 14 11 7 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 9 14 23 30 37 44 52 59 66 75 87 96 100 100 97 93 87 79 70
1 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 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 3 4 3 0 0 0 0 2 7 15 25 11 3 3 11 19 18 12 21 18 11 5 2 0 0 0 1 1 2 1 1 3 7 22 42 60 62 69 61 35 8 0 0 0 4 9 16 20 17 10 2 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 4 8 11 13 10 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 10 14 19 26 37 44 52 59 68 76 84 91 99 102 103 99 94 87 78 67 57
0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 8 5 0 0 0 0 1 2 2 2 1 1 6 16 27 23 19 30 20 9 0 0 0 0 0 1 1 1 1 1 8 21 42 60 56 34 29 21 12 1 0 0 1 6 14 21 27 22 13 4 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 4 8 10 10 7 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 6 10 15 20 26 32 39 47 55 62 70 79 88 96 102 107 105 100 94 91 81 70 58 50
0 0 0 0 0 1 4 5 4 4 3 3 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 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 3 8 9 7 3 0 0 0 0 0 0 0 1 2 8 17 28 30 26 22 13 5 0 0 0 3 4 3 1 1 0 1 14 35 61 83 60 26 12 5 2 0 0 0 2 8 17 24 27 24 13 5 1 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 0 1 4 7 8 7 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 13 20 27 34 40 46 51 57 63 71 80 89 99 105 109 110 108 102 94 88 76 64 53 45
0 0 0 0 1 4 8 11 10 8 7 7 7 7 6 3 1 0 0 0 0 0 0 0 1 1 1 1 0 1 1 1 2 1 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 2 4 6 6 4 0 0 0 0 0 0 0 1 5 13 23 35 47 28 12 4 1 0 0 0 6 9 7 2 1 1 2 23 51 80 104 54 18 5 1 0 0 0 0 3 9 14 18 17 13 6 2 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 0 0 1 2 4 6 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 2 5 10 17 25 35 44 52 58 62 65 68 73 80 90 99 107 111 111 110 106 99 91 83 71 59 48 40
0 0 1 1 2 7 10 13 13 12 11 10 10 10 10 7 3 1 0 0 0 1 3 2 2 1 1 1 0 0 1 1 2 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 4 14 25 22 11 7 3 0 0 0 0 1 6 7 5 1 1 1 9 41 75 93 95 53 27 12 3 1 0 0 3 6 10 12 11 6 1 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 0 0 0 0 1 3 6 6 4 1 0 0 0 0 0 0 0 0 0 0 0 2 6 12 22 32 41 51 58 64 69 74 77 80 84 90 98 106 112 112 110 106 101 96 89 80 68 56 46 38
0 1 2 3 4 7 9 11 12 12 10 9 8 7 8 8 3 2 1 1 1 2 4 3 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 4 7 7 4 1 2 3 2 0 0 0 0 0 0 1 2 3 4 6 5 2 0 0 2 13 36 57 62 58 50 37 24 11 2 1 1 1 6 9 10 7 3 1 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 0 0 0 0 0 0 1 5 5 4 2 1 0 0 0 0 0 0 0 0 1 2 8 15 25 37 47 56 63 68 73 78 84 87 90 95 99 104 108 110 109 105 100 94 91 85 75 63 52 42 35
2 3 4 5 5 7 8 9 9 8 5 3 3 2 2 2 2 2 2 2 2 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 1 2 2 1 0 0 0 3 7 11 12 9 4 3 2 2 0 0 0 0 1 4 9 13 8 5 2 0 0 0 0 1 5 11 17 24 32 38 34 26 16 7 7 4 2 4 7 7 5 2 0 0 0 0 0 1 3 2 1 0 1 1 1 1 1 1 1 1 0 0 0 0 0 2 6 6 4 2 0 0 0 0 0 0 0 1 1 5 12 21 31 41 52 60 66 70 75 80 85 92 96 100 102 104 105 104 103 101 98 95 90 86 79 69 59 49 40 33
4 4 4 4 4 4 4 5 5 4 2 1 1 2 2 3 2 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 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 4 8 11 11 9 7 3 1 0 0 0 0 3 9 16 20 20 6 2 0 0 0 0 1 2 4 6 9 13 24 30 28 25 23 19 15 9 5 2 3 2 2 0 1 2 2 2 3 3 1 0 0 0 1 1 1 1 1 1 1 0 0 0 0 1 2 4 5 6 5 3 0 0 0 0 0 1 3 6 9 17 28 40 48 55 61 67 71 74 78 83 90 96 100 102 101 100 98 97 95 93 90 88 85 81 74 65 56 47 39 34
4 3 2 2 1 2 3 3 2 1 1 1 3 3 4 6 5 4 3 3 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 4 5 7 10 12 9 5 2 0 0 0 0 4 9 14 18 13 12 8 5 3 2 2 7 13 19 20 19 17 15 31 36 34 29 27 22 15 13 10 6 3 1 0 0 2 5 7 7 9 7 4 2 2 2 1 1 1 1 1 1 1 0 1 1 1 1 5 6 5 6 6 4 1 1 1 2 5 12 24 35 37 41 48 56 62 65 68 73 77 81 84 89 95 100 102 101 96 91 88 86 85 83 81 81 81 77 71 64 56 47 40 34
3 3 2 2 2 2 3 3 2 2 2 2 3 4 6 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 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 10 12 8 4 4 4 2 1 1 0 1 3 7 14 18 19 15 6 8 12 12 10 8 7 8 19 30 35 31 25 25 42 44 41 35 30 23 19 21 19 15 9 3 1 1 2 4 7 9 14 14 11 6 3 1 1 1 1 1 1 0 0 1 3 3 2 2 8 8 8 8 9 8 7 7 8 11 16 26 38 48 54 56 59 62 68 72 76 80 84 89 93 98 102 105 106 104 97 89 83 80 78 77 75 77 75 72 68 62 56 47 40 33
1 1 1 1 1 2 3 3 3 3 3 3 3 4 5 6 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 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 9 25 24 17 7 2 0 0 0 1 2 5 13 19 24 27 26 20 9 12 12 11 8 5 9 21 36 42 41 32 23 28 43 44 38 29 20 19 21 25 25 20 12 3 1 0 0 2 5 10 19 26 26 19 5 2 1 1 1 1 1 0 0 1 2 2 2 2 6 7 9 10 12 12 14 17 19 23 27 32 44 52 55 58 61 65 68 75 81 86 90 96 102 106 109 110 109 106 100 93 85 80 77 74 72 74 73 69 65 61 55 47 39 33
0 0 0 0 0 1 2 4 6 5 4 3 2 2 3 4 4 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 2 6 12 20 33 52 42 28 12 2 1 1 1 6 13 21 30 32 32 30 26 20 14 15 11 7 5 5 15 28 40 41 37 29 25 33 42 43 35 25 15 14 19 24 26 20 11 2 0 0 0 1 6 13 24 37 40 32 15 6 2 1 1 1 1 0 0 0 0 0 0 1 3 4 6 8 10 15 20 25 28 27 23 19 30 43 55 65 69 72 75 82 88 93 98 103 108 113 112 109 104 100 98 94 88 82 78 75 73 75 74 70 65 60 53 45 38 32
0 0 0 0 0 1 2 4 7 5 4 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 1 2 4 9 18 34 44 50 37 17 4 1 1 2 6 14 26 36 41 35 32 28 25 18 15 14 10 7 7 11 23 35 46 50 48 42 34 45 52 52 43 27 16 15 22 26 27 21 11 3 1 0 1 3 7 16 28 41 48 42 27 9 3 1 1 1 0 0 0 0 0 0 0 0 1 3 6 10 13 18 24 29 31 29 20 13 19 37 56 71 74 80 87 93 99 105 111 113 116 116 113 107 101 96 93 89 86 83 80 78 77 77 74 68 61 55 49 42 37 33
2 1 0 0 1 2 3 4 5 5 5 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 3 6 9 16 32 56 30 15 6 2 1 1 1 6 14 24 35 39 35 18 15 18 20 14 12 11 10 9 11 18 33 45 56 68 74 68 59 73 82 81 69 29 15 17 24 29 29 23 12 5 1 0 1 4 8 17 27 37 46 45 32 11 4 2 1 1 0 0 0 0 0 0 0 0 1 3 6 11 16 21 27 33 36 37 31 26 25 40 58 73 76 84 92 100 107 115 120 120 119 117 112 106 100 94 89 85 82 80 80 78 77 76 71 63 54 49 43 39 35 33
2 1 0 0 1 2 3 3 3 4 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 8 11 14 22 29 16 7 3 3 4 4 7 18 26 32 37 34 33 29 21 14 10 7 6 7 10 14 20 27 38 50 64 79 91 84 81 90 89 78 56 18 13 18 25 31 32 27 17 9 3 0 1 4 8 14 23 31 39 39 31 19 9 4 1 1 1 0 0 0 0 0 0 0 1 3 6 12 18 24 28 32 37 43 44 42 40 45 57 68 76 84 92 100 107 115 121 122 121 118 113 106 97 90 85 81 78 74 71 73 73 71 66 57 48 43 38 35 33 33
2 2 2 2 2 2 2 1 1 1 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 1 4 5 6 5 5 6 6 7 10 15 21 21 23 28 33 36 36 29 28 25 18 9 3 1 1 5 12 21 31 38 47 64 78 88 93 88 82 75 61 40 19 3 7 14 23 32 34 32 24 15 9 5 4 6 8 11 17 25 32 36 36 31 23 14 8 4 3 1 0 0 0 0 0 0 0 1 4 9 16 23 27 31 36 43 45 48 50 52 56 63 72 80 88 95 102 108 113 118 121 119 114 104 91 82 75 71 70 68 64 66 67 66 61 51 45 40 37 35 34 34
0 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 1 3 3 3 3 3 7 13 22 30 37 42 37 33 31 29 29 29 29 31 29 24 15 5 1 0 2 8 18 32 44 56 71 85 89 92 96 73 50 30 15 6 2 5 12 20 28 35 33 27 20 13 9 8 8 8 10 14 21 28 34 41 43 41 34 23 15 10 6 3 1 0 0 0 0 0 1 2 5 12 19 25 30 35 39 42 46 51 56 60 60 63 71 79 85 92 97 105 113 119 120 116 106 87 75 68 65 64 61 59 61 62 61 57 48 42 38 36 35 35 35
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 3 2 3 5 17 29 41 49 51 49 42 35 31 28 26 27 27 26 23 19 13 3 0 0 0 3 8 18 35 45 52 58 65 55 39 26 16 6 0 0 2 6 11 18 26 34 32 27 21 14 9 7 8 9 12 16 23 29 36 45 49 49 45 35 25 16 10 6 3 0 0 0 0 0 0 1 3 8 16 25 34 40 44 46 43 41 45 57 61 65 68 72 75 79 86 98 110 120 124 119 107 86 73 66 61 57 56 56 58 59 57 53 45 41 39 37 36 35 34
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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 7 6 3 4 10 23 34 42 48 47 43 39 36 34 33 32 30 25 20 16 13 10 4 4 2 1 2 7 13 21 23 25 27 30 18 6 1 1 0 0 0 3 8 14 20 26 30 30 26 20 13 8 6 7 9 14 19 27 32 36 41 45 48 48 41 32 23 16 11 7 4 1 0 0 0 0 1 3 8 17 26 37 44 46 45 40 34 33 38 46 53 58 62 66 72 81 97 111 123 130 118 102 84 70 62 55 48 49 51 53 55 52 48 43 41 39 38 35 34 32
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 1 4 5 6 5 9 14 23 32 37 37 35 24 24 30 35 36 34 30 19 10 5 5 9 15 20 19 17 15 16 18 19 16 14 16 21 9 2 0 0 0 0 0 3 8 13 19 23 27 28 25 20 14 8 7 7 10 15 20 25 28 30 32 34 38 41 43 33 23 15 8 4 2 1 0 0 0 0 2 5 9 16 24 32 37 38 37 34 29 28 29 32 37 44 53 64 74 86 101 115 124 127 111 94 78 65 57 50 44 44 47 50 53 50 45 41 39 38 37 35 33 32
3 2 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 2 5 8 13 13 16 22 28 28 24 14 13 18 26 33 32 27 14 6 2 4 12 22 30 31 27 23 21 18 15 12 12 18 21 12 6 2 0 0 0 0 0 5 11 21 24 26 27 24 20 14 9 8 8 10 14 17 20 20 21 21 22 26 29 29 23 14 7 2 0 0 0 0 0 1 2 3 3 5 7 15 21 24 29 33 35 33 33 32 32 35 40 46 49 68 89 109 118 118 113 102 88 75 61 55 48 43 42 44 48 52 50 46 41 39 40 40 38 32 29
4 3 3 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 3 8 13 17 21 20 15 12 11 9 8 7 6 5 8 14 14 13 10 8 9 12 18 22 25 24 20 16 12 9 7 9 14 25 34 39 36 27 16 3 0 0 0 5 13 22 24 26 26 24 20 16 11 8 8 9 11 12 13 12 11 11 12 13 15 15 11 6 2 0 0 0 0 0 0 1 2 3 4 5 6 9 17 27 37 44 47 48 48 48 48 48 50 58 72 87 99 108 111 106 99 94 85 74 63 55 48 42 41 44 48 53 52 49 45 41 40 36 29 24 23
3 3 4 3 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 1 4 9 14 15 13 10 7 5 3 2 3 6 8 8 7 7 7 11 15 20 23 24 25 22 19 16 13 10 8 7 9 14 24 43 62 77 85 80 65 43 18 7 8 15 22 26 26 26 24 21 15 10 7 5 4 3 3 4 5 6 5 4 3 1 5 7 6 4 2 0 0 0 0 0 0 1 3 4 5 7 9 12 27 44 58 67 73 77 73 73 74 75 74 79 90 98 103 104 100 98 96 94 88 79 68 57 49 43 41 43 47 51 52 49 46 43 42 32 20 16 18
2 3 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 5 10 16 15 11 6 3 1 0 1 4 8 9 6 4 6 16 26 33 38 33 28 23 22 21 21 24 27 33 46 58 69 83 93 107 119 122 106 82 53 48 48 51 45 39 32 27 23 18 13 7 4 2 1 0 0 0 0 0 0 0 0 1 4 6 7 7 6 4 2 1 1 1 2 6 8 11 13 16 19 22 43 63 81 92 94 94 91 88 87 88 89 88 90 96 102 104 102 100 99 99 96 85 73 60 50 44 41 43 47 49 50 47 42 35 26 17 11 6 7