Vorticity
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nan 4 4 5 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 3 3 3 4 4 4 4 5 5 6 5 5 5 5 4 4 4 5 5 5 5 5 6 6 7 7 7 6 6 6 6 5 4 4 4 4 4 3 3 3 3 4 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 3 4 4 4 4 4 4 4 4 5 6 6 7 7 5 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 5 5 5 4 5 5 5 5 5 5 5 9 16 22 19 10 4 3 3 4 6 6 4 1 1 2 3 4 5 5 5 7 9 5 2 1 3 5 7 8 6 5 5 7 8 8 8 8 7 5 4 6 10 11 9 7 8 9 10 10 9 9 9 9 8 6 3 2 3 7 10 8 4 0 0 3 6 5 2 3 5 5 3 -0 -1 0 2 3 2 2 5 10 16 20 22 21 19 14 8 4 2 3 3 4 4 4 4 5 5 5 5 5 5 4 2 1 1 1 1 1 1 2 2 3 3 4 5 6 6 7 7 8 8 9 9 8 6 4 3 3 5 5 5 4 4 6 10 11 8 5 5 5 4 4 4 4 4 4 4 4 5 5 4 4 5 5 5 5 4 4 5 4 1 -3 -6 -7 -5 -2 0 3 4 3 3 3 2 2 3 3 3 4 4 5 5 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 5 5 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 4 4 5 5 5 5 4 4 4 4 4 5 5 4 4 4 4 3 3 3 3 3 4 4 3 3 4 5 7 12 18 22 23 22 18 12 9 7 5 4 3 3 4 4 4 4 4 5 5 4 4 5 5 3 3 2 0 1 0 -3 -4 2 8 11 9 6 6 6 8 10 11 12 11 10 10 8 7 6 6 6 6 7 7 8 9 11 15 18 21 22 21 17 12 8 5 4 3 2 2 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 5 5 4 4 4 4 3 3 3 3 3 3 3 4 4 5 6 7 8 nan
nan 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 4 4 4 4 5 5 6 6 5 5 5 5 5 4 4 5 5 5 5 6 6 7 7 7 6 6 6 6 5 5 4 4 3 3 2 2 3 3 4 5 5 4 4 5 5 5 5 5 5 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 5 5 4 4 4 3 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 3 3 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 5 5 4 4 3 4 4 5 6 6 6 5 4 4 4 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 9 17 21 17 10 6 4 3 4 6 6 4 2 2 3 3 1 2 5 8 9 7 4 3 5 7 8 8 8 6 5 6 6 8 8 7 7 7 6 6 7 9 9 9 8 9 10 10 9 8 7 6 7 6 6 5 4 4 7 9 7 3 0 2 5 6 4 3 4 6 6 4 2 1 2 3 4 3 5 10 17 20 20 18 16 14 9 5 3 3 3 4 4 4 4 5 5 5 5 5 5 5 4 2 1 0 1 1 1 2 2 2 3 3 4 4 5 6 7 7 8 9 9 9 8 6 5 4 4 6 7 6 5 3 4 5 6 6 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 5 6 4 2 -1 -3 -2 -2 -3 -1 2 4 3 3 3 2 2 2 3 3 4 4 5 5 6 6 6 6 6 6 6 5 5 5 6 6 6 6 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 4 4 4 4 4 3 3 3 3 3 4 4 3 3 3 4 6 10 14 19 22 19 14 10 9 8 7 6 6 6 5 5 5 5 5 6 7 6 5 2 2 4 6 5 5 6 5 3 5 10 12 10 6 4 4 5 6 6 6 5 5 5 5 5 5 5 4 4 4 4 6 8 10 14 18 20 21 19 16 11 7 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 4 3 3 3 3 3 3 3 3 3 3 3 4 6 7 8 nan
nan 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 3 3 4 4 4 4 5 5 5 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 7 6 6 6 6 5 5 5 4 4 4 3 3 3 4 4 4 4 3 3 4 5 5 5 5 6 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 3 4 5 5 4 3 3 3 4 5 5 6 5 4 4 4 3 3 3 3 3 3 3 4 4 4 5 5 5 5 4 5 5 5 5 5 5 5 5 5 8 15 20 17 13 9 7 5 6 6 5 4 3 3 3 3 2 2 6 10 8 5 4 5 8 9 9 9 8 6 4 5 6 6 6 6 6 7 6 7 8 8 9 9 10 10 10 10 9 7 5 4 5 5 5 6 6 5 6 7 5 2 -0 1 3 4 4 5 5 5 6 6 4 3 3 4 5 5 9 17 24 23 17 13 11 8 5 3 2 3 3 4 4 5 5 5 5 6 6 6 6 5 4 2 1 0 0 1 2 2 2 3 3 3 3 4 4 5 6 7 8 8 9 9 8 7 6 5 5 6 7 6 5 3 3 4 4 4 5 6 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 6 6 3 1 2 3 0 -2 1 4 4 3 3 3 3 2 3 3 3 3 4 4 5 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 4 4 4 4 4 4 5 5 5 5 6 6 6 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 4 4 4 4 4 3 3 3 3 4 4 3 2 1 2 3 4 7 11 16 17 12 9 8 8 6 6 6 6 7 7 7 6 5 7 9 8 5 3 2 5 8 8 7 8 10 10 12 14 15 12 7 4 3 3 5 5 5 4 4 4 4 5 4 4 3 2 2 3 5 7 9 12 14 15 15 14 11 8 5 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 5 4 4 3 2 3 3 3 3 3 3 2 2 3 4 5 7 9 nan
nan 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 4 4 3 3 3 3 3 3 3 3 3 3 4 4 5 5 6 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 6 5 5 4 5 5 5 5 4 4 4 4 4 4 3 3 4 5 5 5 5 5 5 5 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 3 3 3 4 5 4 3 3 3 3 4 5 5 4 4 4 3 2 3 3 4 4 3 4 4 4 5 5 5 5 4 4 4 5 5 6 5 5 5 5 5 7 12 17 17 15 12 9 7 6 5 4 4 4 5 4 3 4 6 8 8 5 3 5 7 8 8 8 8 7 5 3 3 5 6 5 6 6 6 6 6 7 7 7 8 9 9 9 9 9 7 6 5 5 5 4 5 5 6 6 6 4 2 1 1 1 3 5 5 4 4 5 6 5 4 4 4 5 8 15 23 26 21 13 9 7 5 3 2 3 3 4 4 5 5 5 5 5 6 6 6 6 5 4 3 2 1 1 2 2 3 3 3 3 3 3 4 4 5 6 7 7 8 8 9 8 7 6 6 6 6 6 5 4 4 5 6 6 4 5 6 5 4 4 4 5 5 5 6 6 6 6 6 5 5 4 4 5 5 5 5 5 6 7 5 2 3 7 6 3 2 4 5 4 4 3 3 3 3 3 3 3 3 4 4 5 5 6 6 7 7 6 6 6 6 6 5 5 5 4 4 4 4 4 4 5 5 5 6 6 6 6 6 6 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 3 3 3 3 3 2 0 -1 -0 1 3 7 11 12 9 7 8 8 7 6 6 7 8 10 11 9 8 10 11 11 8 7 8 10 12 11 8 8 10 14 17 19 19 16 10 4 2 2 3 4 5 4 4 3 4 4 4 3 2 2 2 3 5 6 8 9 10 10 10 9 7 6 5 5 5 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 2 2 3 4 4 5 5 4 2 2 2 3 3 4 3 3 2 2 3 4 5 7 10 nan
nan 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 2 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 3 3 3 3 4 4 4 3 3 3 4 4 4 3 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 5 5 5 5 6 8 11 14 14 13 10 7 5 4 4 5 6 7 6 4 4 6 7 5 3 3 7 9 8 6 6 7 6 4 2 2 5 6 6 6 6 5 5 5 5 5 4 5 6 8 9 8 8 8 7 6 5 4 2 3 4 5 6 5 5 3 2 1 1 2 5 4 1 2 5 6 5 5 4 4 6 12 19 23 22 16 10 6 5 4 3 2 3 3 4 4 5 5 5 5 6 6 6 6 6 6 5 4 2 2 2 3 4 4 4 5 4 4 3 3 4 5 5 6 7 7 8 8 8 8 7 7 6 6 5 4 4 4 5 8 8 6 4 4 4 4 4 5 5 5 5 6 6 6 6 6 6 5 4 4 4 5 6 6 5 5 6 6 2 -1 0 5 6 6 5 5 5 4 4 4 4 4 3 3 3 3 3 3 4 4 5 6 6 7 7 7 7 6 6 5 4 4 4 4 4 4 4 4 5 5 6 6 6 6 7 7 6 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 4 5 5 5 5 4 4 4 4 4 4 4 3 3 2 2 3 2 0 -2 -3 -2 1 4 8 8 6 6 7 9 9 8 7 7 8 10 12 12 13 14 15 16 15 14 15 16 15 12 8 7 9 14 19 22 23 19 12 5 2 1 2 4 5 4 4 3 3 3 3 3 2 2 3 4 5 6 7 7 7 6 6 6 6 6 6 6 5 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 2 2 2 3 4 5 6 6 4 3 1 1 2 3 4 3 3 3 3 3 4 5 7 10 nan
nan 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 4 4 4 5 4 4 4 5 5 5 4 4 5 5 6 6 6 5 5 5 6 6 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 3 3 3 3 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 8 11 13 12 11 8 6 6 6 7 8 8 6 4 3 4 5 5 4 5 7 8 7 5 5 6 5 4 2 2 3 4 4 5 6 4 3 3 4 4 2 2 5 8 9 8 6 6 6 6 5 3 1 1 3 4 4 5 5 5 3 2 1 3 6 4 1 2 5 6 6 5 4 4 8 15 20 20 16 11 7 5 4 3 3 3 3 3 4 4 5 5 5 6 6 6 6 6 6 6 5 4 3 3 4 5 5 6 6 6 5 4 4 3 4 4 5 6 6 6 7 8 8 8 8 7 6 5 4 4 3 3 5 8 9 7 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 5 4 4 4 5 6 5 5 5 6 7 5 -2 -8 -6 1 6 7 6 5 5 4 4 5 5 4 4 3 3 3 3 3 4 4 5 6 6 7 7 7 7 6 5 4 3 3 3 3 3 4 5 5 6 6 6 6 6 7 7 7 6 5 4 3 3 4 4 4 4 5 5 5 5 5 5 4 4 5 5 5 4 4 4 4 4 4 4 4 4 3 2 3 3 2 -1 -3 -3 -0 3 6 6 5 5 7 8 9 8 8 7 7 8 9 10 13 16 19 21 22 21 19 15 12 8 6 6 8 12 17 21 23 19 13 7 3 1 1 2 3 4 4 4 3 3 3 3 3 3 3 4 5 6 7 6 6 5 5 5 6 7 7 6 5 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 5 6 7 7 5 3 1 1 2 3 3 4 3 3 3 3 3 4 6 9 nan
nan 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 4 4 4 5 5 6 6 6 6 5 6 6 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 3 4 4 4 4 3 3 2 2 2 2 2 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 6 8 11 12 10 9 9 8 8 9 10 10 8 5 3 3 5 6 6 7 8 7 6 5 4 5 6 6 4 3 2 2 1 0 2 5 4 2 2 3 2 0 1 5 8 9 7 6 5 5 4 5 5 4 3 3 2 2 4 6 5 4 3 4 6 8 6 4 5 6 6 5 5 3 4 10 16 18 15 11 8 5 4 3 2 2 3 3 3 4 4 5 5 6 6 6 6 6 6 7 6 5 4 4 4 5 6 7 7 7 7 6 5 4 3 3 4 5 5 5 5 6 7 8 8 8 8 7 6 4 4 3 3 5 7 10 9 6 4 4 4 5 5 6 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 4 5 5 6 6 2 -7 -11 -6 3 7 6 6 5 5 5 5 5 5 5 4 3 3 3 3 3 4 5 5 6 7 7 7 7 6 5 4 3 3 3 3 4 4 5 5 6 6 6 6 6 7 7 7 6 5 4 3 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 6 7 6 3 3 4 5 2 0 1 2 4 5 5 4 5 6 7 7 7 8 7 7 6 5 3 4 10 16 19 21 19 14 9 7 6 5 5 6 10 14 18 18 15 9 5 2 -0 -1 0 2 3 4 4 4 3 3 3 3 3 3 4 5 6 7 7 6 5 5 5 6 6 6 5 5 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 5 6 7 7 5 3 2 1 1 2 3 4 4 3 3 3 3 4 6 8 nan
nan 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 5 5 4 4 4 4 4 4 5 5 5 5 5 4 4 4 5 5 6 6 6 6 6 6 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 3 3 2 2 2 2 3 3 3 4 4 4 4 4 4 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 6 6 8 11 13 12 9 8 9 10 11 11 9 6 4 3 6 7 6 6 8 9 8 5 3 4 5 6 6 6 6 5 3 1 -1 2 6 5 2 2 2 -0 -1 1 6 9 9 7 5 4 3 4 6 7 6 5 4 2 2 4 6 7 5 5 7 9 9 7 5 5 6 6 5 5 4 5 10 15 15 11 8 6 4 3 3 3 3 3 3 4 4 5 5 5 6 6 6 6 6 6 7 6 6 5 4 5 6 7 8 8 8 7 6 4 3 3 3 4 5 5 5 5 5 6 7 7 8 7 7 6 5 4 3 3 4 7 10 12 10 7 5 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 4 4 5 5 5 6 5 -1 -9 -8 1 6 6 6 6 6 5 6 6 6 6 5 4 3 3 2 3 3 4 5 6 6 7 7 7 6 5 4 3 3 3 3 3 4 4 5 5 6 6 6 6 6 7 7 7 6 5 4 2 2 2 2 3 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 8 10 10 6 3 4 5 5 3 4 4 5 5 5 4 5 5 6 6 6 6 7 9 10 7 0 -3 1 9 13 13 11 8 7 6 5 4 5 6 9 12 14 14 11 5 -0 -2 -3 -3 -2 -0 2 3 4 4 4 3 3 3 3 4 4 5 6 7 7 6 6 5 5 5 5 5 5 5 4 4 4 3 3 3 4 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 3 3 4 5 5 6 6 5 4 2 1 1 2 3 4 4 4 3 3 4 4 5 8 nan
nan 4 4 4 3 3 3 3 3 3 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 5 5 4 4 4 5 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 4 4 4 5 5 5 6 6 6 6 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 3 3 4 4 4 4 3 3 4 4 3 3 2 2 2 3 3 3 3 3 3 3 4 4 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 6 7 8 11 14 14 10 6 6 8 9 9 7 5 4 6 9 8 5 3 6 9 8 5 4 4 4 5 7 9 11 11 9 5 2 4 8 6 2 2 2 0 -0 2 8 11 10 7 4 3 2 3 5 6 6 5 3 2 3 5 7 8 6 5 6 9 9 8 6 5 5 5 5 4 5 7 10 13 12 9 7 4 3 3 2 3 3 3 3 4 4 5 5 5 6 6 6 6 6 6 6 6 5 5 5 6 7 8 9 8 8 7 5 4 3 3 3 4 5 5 4 4 4 5 6 6 7 7 7 7 6 5 5 4 4 5 10 14 16 14 9 7 6 6 6 6 6 5 4 4 4 3 4 4 4 3 4 4 4 4 5 6 5 4 6 7 4 -4 -7 -1 5 6 6 6 6 6 6 6 6 6 6 5 4 3 3 3 3 4 5 6 6 7 7 6 6 5 5 4 4 3 3 3 3 4 4 5 5 5 5 6 6 6 7 7 7 6 5 3 2 1 1 2 2 3 4 4 5 5 5 5 5 5 4 4 4 4 4 4 5 6 10 14 12 7 3 3 4 4 5 5 4 4 4 4 5 5 5 5 6 6 5 6 9 14 14 8 1 1 5 8 8 8 8 8 7 5 4 5 6 8 10 12 13 13 10 5 2 0 -1 -2 -1 2 4 5 5 4 3 3 3 4 4 4 5 6 6 6 6 6 6 5 5 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 4 2 1 1 2 3 4 4 4 4 4 4 4 5 7 nan
nan 4 4 4 4 3 3 3 3 3 3 3 4 4 5 5 5 5 4 4 4 3 4 4 4 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 3 3 3 4 4 3 3 4 4 4 4 4 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 4 4 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 7 9 12 14 14 9 5 3 4 6 6 6 5 5 8 9 6 2 2 6 8 6 5 4 4 3 3 6 11 15 16 13 9 6 8 9 7 4 4 2 -0 0 4 9 12 10 7 4 1 0 2 4 5 5 4 3 2 3 6 8 7 5 3 5 7 8 8 7 6 5 4 4 4 6 9 11 12 11 9 5 3 3 2 2 3 3 3 3 4 4 5 5 5 6 6 8 9 10 9 6 4 4 5 6 7 8 9 9 8 7 6 5 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 7 7 7 6 6 5 4 4 7 12 17 18 17 14 13 12 11 11 11 10 8 7 6 5 4 4 5 5 5 5 4 5 8 9 6 5 6 7 5 -0 -3 0 4 6 6 6 7 7 7 7 7 7 7 6 5 4 4 3 3 3 4 5 6 6 6 6 6 6 6 5 5 4 3 2 1 2 3 4 5 5 5 5 6 6 6 7 7 7 6 5 3 1 1 0 1 2 2 3 4 4 5 5 4 4 3 2 2 3 3 4 5 8 12 14 12 7 3 3 4 4 5 5 4 3 3 4 5 6 7 7 7 8 7 5 6 12 16 14 8 6 6 7 7 8 8 7 6 4 4 5 6 7 9 11 14 17 19 20 17 12 7 3 2 3 4 6 6 5 4 4 4 4 4 4 5 5 5 6 6 6 6 6 5 4 4 4 3 3 3 3 4 3 3 2 3 3 3 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 2 2 2 2 3 4 4 4 4 4 4 4 5 7 nan
nan 4 4 4 4 3 3 4 3 3 2 2 3 4 4 4 4 4 4 4 4 3 3 4 4 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 5 5 5 4 4 4 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 7 9 12 14 12 7 4 3 3 4 5 5 5 6 7 6 5 4 5 8 7 4 3 4 5 4 3 5 10 15 16 14 9 8 10 11 9 6 3 1 -1 1 5 9 11 10 6 3 0 0 3 4 4 4 4 2 2 4 7 8 6 4 3 4 6 8 8 7 6 4 3 3 4 7 11 14 15 13 9 5 3 2 2 3 3 3 3 4 4 4 4 4 5 6 7 10 13 16 15 9 4 3 5 7 8 9 9 8 7 6 6 5 5 5 4 4 4 4 3 4 4 5 5 5 5 5 5 6 6 6 6 6 5 5 5 5 8 12 16 19 20 19 19 19 19 18 17 16 15 14 12 9 7 6 7 7 7 7 10 13 13 10 8 8 8 6 2 0 2 4 5 6 6 7 7 7 8 8 8 8 7 6 5 4 4 3 3 4 5 5 6 6 6 6 6 7 7 6 5 2 -0 -3 -3 -2 2 4 5 5 5 5 6 6 6 7 7 7 6 5 3 1 -0 -1 -0 1 1 2 3 3 3 3 2 1 0 -0 -0 0 2 4 9 13 14 10 6 4 3 3 4 5 5 5 4 3 4 5 6 8 9 11 13 12 8 4 6 10 11 9 7 6 6 6 7 6 5 5 5 5 5 6 7 8 9 12 16 20 24 25 22 16 11 7 5 4 5 5 5 5 5 5 4 4 4 4 5 5 5 5 6 6 6 5 5 4 4 4 4 4 4 4 3 2 2 2 3 3 3 4 4 5 5 5 4 4 4 4 5 5 6 6 6 5 4 4 4 4 4 3 3 2 2 2 3 3 4 4 4 4 4 4 4 5 6 nan
nan 4 4 4 4 4 4 4 4 3 3 3 2 3 4 4 4 4 4 4 3 3 3 3 4 4 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 5 5 4 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 5 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 4 5 5 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 7 9 12 14 12 7 4 4 5 6 6 4 2 3 4 5 6 7 8 9 6 2 1 3 5 5 4 5 8 12 13 11 8 9 11 12 9 6 2 0 0 3 6 8 9 8 5 1 -2 -0 4 5 3 3 3 2 2 3 6 7 5 3 3 5 7 8 7 6 5 3 2 2 4 8 14 17 17 14 8 4 3 3 3 3 3 3 4 4 4 4 4 4 5 6 7 11 16 21 21 14 5 3 5 7 8 8 8 8 7 7 6 5 5 5 5 4 4 3 3 3 4 4 5 5 5 5 5 5 5 6 6 5 5 5 5 4 5 6 9 13 16 17 18 19 20 20 20 21 22 22 21 19 15 11 10 11 11 12 14 17 19 17 14 13 12 7 3 2 4 5 5 5 5 6 7 8 8 8 9 8 8 7 6 5 4 3 3 3 4 5 5 5 5 6 6 7 7 8 7 4 -1 -7 -10 -9 -5 1 5 5 5 5 5 5 6 6 7 7 7 7 6 4 1 -1 -2 -1 -1 0 1 1 1 1 1 -0 -2 -3 -4 -3 -1 2 8 13 13 9 6 5 4 4 5 6 7 6 5 3 4 5 7 9 10 12 13 13 9 5 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 5 6 6 7 9 12 14 17 19 20 19 16 11 7 5 4 4 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 3 2 2 3 3 3 4 5 6 6 6 6 6 6 5 6 6 7 8 9 8 7 5 4 3 3 3 3 2 2 2 3 3 4 4 4 4 4 4 4 4 5 5 nan
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CAPE
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11 20 29 36 39 34 29 23 15 11 14 20 19 11 4 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 4 4 5 7 8 10 12 15 18 19 15 10 8 9 6 7 8 9 9 7 7 10 13 15 15 14 9 8 8 9 10 14 16 13 11 10 9 7 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 8 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 11 11 10 11 10 11 10 9 9 10 9 9 9 9 8 7 8 8 7 6 5 5 3 3 1 1 1 1 0 0 1 1 2 14 40 78 115 76 28 4 0 1 7 17 23 41 95 213 447 749 1046 1032 927 1244 1371 1297 1133 800 483 401 433 363 234 96 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 26 53 62 56 51 48 46 44 42 40 31 27 22 17 28 40 52 61 69 76 80 79 75 69 62 57 51 46 45 45 44 44 46 49 51 52 55 60 60 56 54 54 53 49 50 53 56 58 61 68 74 74 97 146 191 184 134 94 87 88 87 83 84 85 84 88 96 97 96 96 91 78 69 67 68 70 67 61 55 49 43 39 35 37 38 37 40 39 38 41 48 57 63 63 57 52 49 59 51 45 56 54 49 48 48 47 45 43 43 43 44 45 43 42 41 39 38 37 39 41 44 43 41 40 37 32 29 28 29 31 31 34 38 44 50 53 55 53 48 43 42 48 56 64 74 82 89 95 91 76 72 77 74 70 71 73 70 65 72 86 87 77 65 55 50 46 46 46 40 31 24 20 20 25 33 44 70 91 89 85 76 64 51 46 37 29 22 18 17 18 20 21 21 25 26 26 27 27 27 27 27 28 30 31 32 31 32 32 32 34 35 34 31 32 35 37 38 34 27 22 22 23 25 24 22 22 26 27 32 41 48 55 64 76 90 100 114 132 148 178 209 217 225 238 264 331 428 502 573 643 777 698 702 723 754 828 903 931 961 957 898 884 883 890 916 964 1054 1257 1560 1702 1712 1791 1835 1775 1819 2115 2664 2656 2519 2719 2886 2876 2676 2263 1746 1290 1004 1009 1128 1139 1257 1391
7 10 24 30 27 21 17 13 11 14 20 21 22 17 11 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 4 6 8 9 10 15 19 19 16 12 9 8 7 8 10 9 7 7 9 11 14 17 19 18 13 9 8 13 15 17 19 16 13 11 9 8 7 6 6 6 7 7 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 7 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 10 10 10 10 10 10 8 7 7 8 8 8 8 8 8 8 8 7 6 5 5 4 2 0 0 0 0 0 0 0 3 4 19 97 230 370 444 263 85 11 0 0 2 9 24 63 158 344 632 899 985 938 921 1138 997 745 694 558 409 410 391 268 128 31 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 41 62 58 50 47 46 45 45 46 41 30 23 22 20 32 47 59 68 75 81 83 81 76 69 60 51 44 41 42 43 44 47 55 64 72 76 77 74 65 56 53 55 56 53 54 59 63 66 67 72 74 86 119 158 165 133 95 79 79 83 85 88 85 79 75 75 77 78 79 81 80 79 77 71 67 69 65 59 51 44 39 34 31 35 37 38 39 38 35 37 44 52 56 54 48 45 50 61 56 51 48 43 39 38 40 40 38 35 37 38 39 40 39 40 40 39 37 33 32 32 34 34 35 34 30 26 24 24 24 23 23 26 33 40 46 49 50 51 46 39 36 38 42 46 54 67 78 87 86 76 71 70 67 64 61 60 59 62 76 98 106 94 78 70 65 55 44 40 39 36 31 25 22 21 23 33 54 75 95 86 75 71 64 57 47 37 28 21 17 17 18 19 21 24 24 24 25 24 23 23 25 26 26 27 27 26 27 27 28 28 29 29 28 27 27 29 30 27 24 23 23 17 15 14 13 12 13 13 14 17 21 24 28 34 42 52 65 83 98 116 130 140 157 174 186 211 251 312 404 522 625 597 644 672 693 748 820 857 859 851 808 842 865 928 922 956 1048 1205 1371 1376 1340 1435 1530 1545 1475 1487 2271 2523 2594 2664 2753 2802 2660 2336 1923 1454 1054 986 1019 1002 985 1105
2 9 21 24 23 19 15 11 10 14 17 16 12 9 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 7 9 13 17 18 16 12 9 8 8 8 10 9 6 7 10 12 17 28 28 22 17 12 10 12 15 16 19 17 15 12 9 8 7 7 7 7 7 7 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 6 7 7 7 7 7 8 8 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 7 5 5 3 3 2 0 0 0 0 0 0 0 8 11 43 165 335 482 494 282 73 7 0 0 4 16 47 126 276 461 723 955 895 848 1026 1066 574 334 407 485 422 427 323 155 44 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 11 50 64 57 46 40 41 46 49 48 41 32 25 23 26 36 50 61 70 79 84 83 79 73 65 55 47 42 40 40 42 45 50 60 65 72 86 102 98 74 57 56 59 59 59 65 75 83 79 71 72 80 101 133 150 133 98 79 78 80 76 75 77 70 65 61 59 58 61 65 69 70 68 65 63 63 63 59 53 46 40 36 33 32 36 38 39 39 36 33 34 40 46 48 44 38 39 48 52 50 47 45 39 37 35 35 36 34 32 33 34 33 32 33 32 34 31 27 26 24 23 23 24 26 28 28 28 26 26 24 22 19 20 28 35 40 44 47 47 44 36 29 26 28 29 32 45 58 73 81 80 76 68 63 60 56 55 56 59 67 85 101 96 88 85 78 70 57 46 38 32 29 28 27 25 26 31 44 62 85 77 64 63 63 62 61 54 40 31 23 19 18 17 17 18 20 21 21 22 22 23 24 25 25 25 26 26 26 25 23 23 24 25 25 24 23 25 26 26 25 27 28 25 20 17 14 12 11 11 10 10 11 12 13 13 14 20 28 40 50 63 75 89 106 116 130 146 170 198 239 368 495 632 690 682 698 709 728 875 840 809 759 743 852 955 986 982 1010 1061 1095 1118 1046 1036 1051 1298 1265 1217 1620 2133 2584 2661 2656 2720 2646 2334 2113 1689 1296 1120 1083 904 880 1015
6 13 18 21 22 20 18 15 13 10 8 8 5 2 2 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 7 12 20 22 16 14 11 8 7 7 8 9 7 8 9 12 15 24 27 24 18 14 10 10 12 14 16 17 15 12 11 9 8 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 6 5 5 5 5 5 5 5 5 5 5 5 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 6 7 8 8 7 8 8 6 4 4 3 2 0 0 0 0 0 0 0 3 9 14 21 42 106 181 184 97 23 2 0 0 9 40 115 295 452 560 756 885 806 839 1016 764 233 210 366 493 484 412 232 70 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 12 36 54 55 46 38 39 45 50 49 43 36 30 25 28 36 46 58 71 81 83 79 72 65 58 51 45 42 41 39 43 48 61 57 59 71 88 98 96 80 61 58 60 61 62 72 87 90 75 70 80 99 124 141 136 108 80 74 78 81 71 61 61 59 57 55 53 52 55 58 59 57 54 53 56 58 56 52 47 42 36 33 32 34 37 39 40 39 35 32 32 34 38 40 39 42 41 42 42 46 53 48 38 33 32 33 34 34 32 33 32 29 30 33 31 30 29 27 24 21 19 19 19 20 23 24 25 24 25 22 21 21 21 23 27 31 37 41 42 39 33 25 18 16 17 17 23 32 46 64 75 75 69 63 57 55 58 62 57 63 68 86 92 87 81 78 75 68 61 53 38 30 28 27 24 31 34 40 52 67 74 72 68 67 67 68 67 58 45 34 28 24 20 19 18 17 17 18 19 20 23 24 25 26 26 26 25 25 24 22 21 21 21 22 22 21 23 23 25 26 28 29 27 25 22 20 17 14 12 12 11 11 11 10 9 8 9 11 15 18 23 32 43 55 63 82 92 108 138 173 228 324 503 669 696 724 668 630 818 818 773 727 705 817 928 953 972 992 967 998 1026 922 814 736 817 934 1012 1183 1524 2004 2476 2798 2699 2690 2324 2109 1806 1469 1187 949 831 883 1071
6 11 16 19 21 21 19 19 18 10 4 2 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 5 12 19 21 17 16 14 9 6 7 8 9 10 10 9 10 12 18 25 22 19 16 13 13 13 12 14 14 13 12 12 10 10 8 8 8 7 7 7 7 7 7 6 7 6 7 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 6 7 7 7 7 7 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 7 7 7 6 5 6 6 5 6 7 7 7 6 6 5 4 3 3 1 0 0 0 0 0 0 0 6 11 11 10 6 10 19 15 2 0 0 0 2 16 101 275 470 599 670 833 915 887 885 741 429 219 246 390 527 461 277 116 28 2 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 0 0 0 0 0 0 0 0 0 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 14 35 50 52 44 36 38 45 50 49 44 39 32 25 30 37 51 63 74 82 80 72 64 56 50 48 44 41 39 39 50 62 72 65 61 68 81 90 90 77 64 63 66 64 63 74 86 82 76 88 103 116 126 124 109 86 68 68 72 73 60 53 55 56 56 55 54 55 57 57 55 51 46 45 48 50 47 42 43 38 33 32 34 36 38 38 38 36 33 31 32 32 35 36 40 41 37 36 38 45 47 42 34 32 33 34 32 29 26 25 23 22 20 18 20 22 22 21 19 18 16 16 17 18 19 19 20 22 23 23 23 22 21 20 20 21 26 32 36 35 31 25 16 12 9 9 10 14 23 38 52 61 63 58 52 52 62 67 63 62 65 78 89 90 85 79 73 70 67 66 58 47 35 30 25 29 32 38 52 63 70 74 76 76 73 69 67 65 58 48 40 34 29 25 22 21 19 18 17 18 18 19 21 22 23 24 22 21 20 19 18 17 18 19 18 18 19 19 22 24 26 27 28 28 28 25 22 19 18 16 14 13 12 10 9 8 8 9 9 10 12 13 18 20 25 39 48 65 89 112 144 218 354 503 615 698 705 705 757 741 710 732 743 757 816 901 984 999 938 999 1037 904 791 706 676 708 807 927 1063 1275 1878 2831 2754 2703 2477 2237 1928 1557 1252 1002 854 863 1056
2 6 10 14 16 18 19 22 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 0 0 0 1 3 10 17 19 18 18 17 10 7 8 9 10 13 13 11 11 11 11 13 14 15 14 14 11 9 10 9 8 10 11 12 11 11 9 9 8 7 6 6 6 6 6 6 7 7 7 7 6 5 5 5 5 5 5 5 5 5 5 5 5 5 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 5 5 5 5 5 5 5 5 5 5 7 6 7 5 4 4 3 3 2 2 1 0 0 0 0 0 0 4 7 3 1 0 0 0 0 0 0 2 11 25 35 159 419 588 674 846 900 925 990 997 787 429 245 314 443 455 271 102 27 5 0 0 0 0 0 2 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 17 35 46 49 43 37 38 45 50 49 45 39 32 26 33 40 50 58 74 81 75 67 59 49 43 40 42 40 38 46 58 72 84 85 82 80 84 94 93 76 64 64 67 66 66 76 90 90 85 101 112 107 95 85 76 68 63 65 65 52 46 48 52 53 56 58 59 60 61 59 57 53 48 45 43 42 42 39 39 35 33 32 34 35 35 34 33 32 31 31 31 32 36 38 39 33 29 32 37 38 34 30 29 30 31 29 25 24 22 21 21 17 16 15 14 13 12 13 13 13 12 13 14 15 15 15 16 20 22 22 20 18 17 16 16 15 17 21 28 32 30 23 16 11 7 5 4 4 8 15 25 39 54 57 54 53 63 66 64 60 56 61 74 84 87 85 77 72 71 72 72 65 47 34 28 26 27 35 43 46 53 65 71 74 74 73 71 69 67 59 51 45 38 34 32 30 27 24 21 20 18 16 16 18 19 19 17 16 16 16 15 15 15 15 14 14 16 17 19 20 22 24 25 26 30 28 26 24 22 20 19 17 15 13 12 11 10 10 9 9 9 11 13 14 15 20 26 38 57 70 89 140 211 321 470 575 657 700 689 612 618 734 812 792 762 863 959 966 1007 1054 1071 978 872 773 658 598 647 733 834 959 1295 2303 2671 2684 2563 2417 2139 1721 1388 1096 925 913 1034
1 1 3 7 10 14 18 23 23 14 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 11 16 19 19 17 12 9 10 11 10 11 10 10 11 10 8 7 9 11 12 11 6 6 7 5 3 5 9 11 11 11 11 10 9 8 6 6 6 7 6 6 7 7 7 7 7 5 5 5 5 5 5 5 5 5 5 5 5 5 7 7 7 7 7 7 7 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 5 4 4 4 5 5 5 5 5 5 5 6 5 5 5 4 4 4 3 2 1 0 0 0 0 0 0 0 0 4 2 0 1 2 7 16 24 22 25 69 133 135 272 532 650 691 831 834 781 791 729 532 333 322 425 438 289 107 20 2 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 0 0 0 0 0 0 0 0 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 18 31 42 47 44 37 37 43 50 50 45 41 32 28 38 43 49 58 74 81 76 67 57 47 39 37 39 39 37 47 62 74 89 97 100 102 105 101 88 74 67 66 67 67 71 84 105 115 101 98 98 86 70 62 60 58 53 48 43 41 43 45 48 50 56 60 61 61 61 60 57 54 49 43 41 40 42 40 35 35 34 34 33 32 31 29 27 26 26 27 28 30 32 34 33 31 31 29 30 32 32 30 28 28 26 24 22 22 22 19 16 13 12 11 9 7 6 7 8 7 7 8 9 9 10 12 15 18 16 14 12 11 10 10 10 10 12 15 18 25 29 24 19 14 9 5 2 1 1 3 6 17 36 50 54 53 57 59 59 56 58 60 62 69 77 83 81 77 72 68 73 72 57 42 34 28 29 36 39 40 43 53 62 68 74 78 70 65 64 62 59 55 47 41 39 41 39 36 31 26 20 17 17 17 17 16 14 14 14 14 14 13 13 13 12 12 13 14 16 17 18 19 20 21 25 27 27 26 24 22 21 19 18 17 15 12 12 12 10 10 10 11 12 13 14 16 19 25 34 34 43 72 105 179 301 428 561 657 665 635 634 737 917 896 908 930 897 925 992 1093 1099 994 910 796 691 588 589 650 729 803 984 1520 2110 2451 2447 2346 2257 1943 1591 1252 1070 980 968
2 1 0 2 5 10 17 24 26 19 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 1 1 1 6 11 16 17 15 12 11 13 14 13 11 10 9 10 8 7 7 8 11 12 10 7 5 5 3 3 5 8 10 10 11 10 10 9 8 6 6 6 6 6 6 7 7 7 7 7 5 5 5 5 5 5 5 5 5 5 5 5 6 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 8 7 7 7 7 6 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 3 3 2 0 0 0 0 0 0 0 3 11 9 2 5 14 50 96 113 100 96 172 264 269 388 617 742 759 753 731 714 617 390 300 390 494 470 316 143 40 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 19 28 37 44 43 36 34 42 49 50 46 40 32 30 37 43 50 60 74 80 78 71 60 48 38 34 38 42 42 47 60 75 90 98 98 95 90 83 75 69 68 69 70 73 79 95 120 133 127 107 95 79 64 59 55 49 45 42 42 42 43 44 48 53 54 59 60 58 56 54 52 49 45 41 40 41 44 43 40 38 36 35 34 32 29 25 22 21 22 24 27 31 32 31 29 28 26 23 25 29 29 27 26 24 22 21 19 18 17 14 11 10 9 8 5 3 3 2 2 2 2 3 3 3 5 6 9 11 10 10 9 8 7 6 6 7 9 12 12 16 23 23 21 17 11 5 1 0 0 0 0 1 12 31 45 49 49 52 55 54 56 60 59 59 63 71 80 82 78 71 72 74 68 58 51 43 38 42 39 39 41 46 56 66 72 70 58 52 53 57 62 60 53 51 54 54 52 48 43 36 29 24 21 19 18 18 15 14 14 13 12 12 12 11 11 12 12 13 14 14 15 13 13 16 20 25 27 27 25 23 21 20 19 18 18 16 14 13 11 11 11 11 12 12 13 15 17 18 19 21 24 31 57 113 189 292 420 544 622 712 812 809 983 963 1027 1049 1010 991 973 988 985 945 902 816 728 623 570 595 641 694 795 999 1349 1819 2012 2243 2368 2101 1812 1526 1251 1049 951
3 2 1 0 2 7 15 24 29 25 14 7 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 1 4 8 11 13 13 14 13 14 15 14 13 12 11 9 10 14 10 9 12 13 11 10 9 5 4 3 5 9 9 9 9 9 9 8 7 6 5 5 4 5 6 7 7 7 7 7 6 5 5 5 5 5 5 5 5 5 5 5 6 7 7 7 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 6 5 4 4 4 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 4 4 4 3 3 2 0 0 0 0 0 0 2 7 15 16 9 16 55 152 240 253 218 198 263 363 452 583 716 730 674 665 519 424 288 184 269 442 488 357 171 51 10 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 16 25 35 43 41 33 32 39 47 49 43 34 29 28 35 43 51 61 74 82 81 75 63 48 37 33 35 41 45 51 63 75 88 95 93 90 85 78 72 70 74 78 80 82 93 115 134 139 129 111 97 81 65 54 46 42 42 42 43 42 43 49 55 58 54 57 58 54 49 44 43 43 42 41 42 44 44 41 41 39 38 37 35 33 28 24 21 20 22 25 27 28 29 30 27 26 25 26 26 26 24 23 22 20 18 17 15 13 12 10 9 8 8 6 4 3 1 0 0 0 0 0 0 0 1 1 2 4 6 7 7 6 4 3 4 5 6 11 13 12 16 20 20 18 14 6 0 0 0 0 0 0 1 10 21 36 42 48 54 57 60 62 60 55 54 58 68 77 81 78 76 76 74 70 67 63 56 50 45 42 41 42 51 61 68 69 67 62 56 57 67 68 61 55 56 58 57 55 51 44 37 31 28 25 22 22 20 18 15 14 14 13 12 12 12 13 13 13 14 13 13 11 11 14 18 23 26 27 27 25 23 21 19 18 18 17 16 14 13 12 12 12 13 12 12 13 15 16 16 19 20 22 31 43 80 157 254 354 459 684 951 955 1022 1082 1151 1157 1147 1100 999 965 967 918 881 821 752 667 595 574 580 606 671 756 868 1148 1385 1841 2111 2021 1877 1713 1442 1202 1029
3 1 1 0 1 5 12 19 26 29 20 11 5 3 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 8 10 13 15 15 15 15 14 14 17 16 12 8 8 8 9 11 12 12 11 11 9 6 5 6 9 9 8 7 8 7 7 6 6 5 3 2 4 5 6 7 7 7 7 7 6 6 5 5 5 4 4 5 5 6 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 6 4 5 5 5 5 5 5 5 5 5 4 5 5 5 3 3 3 4 4 5 5 5 5 5 5 4 3 3 2 0 0 0 0 0 0 2 9 16 18 21 53 129 240 355 375 317 271 311 416 555 692 694 559 453 369 227 149 153 179 285 400 384 232 80 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 14 21 42 48 41 34 32 37 42 42 38 32 27 27 34 42 52 65 81 88 85 78 68 52 37 32 32 38 43 48 60 68 81 90 89 84 78 76 76 78 83 85 86 90 105 130 143 139 120 96 83 70 58 49 45 45 44 43 43 44 47 54 59 56 56 57 53 46 41 39 39 39 39 39 40 40 46 41 38 36 36 36 35 32 29 26 24 24 26 28 27 27 25 28 25 25 25 23 21 19 20 21 21 18 15 14 12 9 8 9 8 6 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 1 1 3 5 10 12 11 12 13 15 16 13 6 1 0 0 0 0 0 0 1 1 21 37 46 54 61 64 69 70 62 59 60 59 62 70 78 81 83 82 81 78 77 76 74 56 46 44 42 48 55 61 67 73 79 72 56 61 69 76 72 62 58 58 57 55 49 42 36 33 30 28 27 26 24 21 17 16 15 15 15 15 15 15 14 14 14 14 13 12 13 16 18 20 22 23 25 24 21 20 18 17 17 17 16 14 13 12 12 12 12 12 12 14 14 14 15 17 20 24 23 31 71 139 195 268 476 708 861 944 1034 1137 1214 1224 1134 1005 939 919 898 865 808 771 733 650 595 559 545 588 650 726 821 933 1140 1402 1583 1754 1854 1586 1343 1150
2 2 2 1 1 3 8 12 18 27 28 14 8 12 6 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 7 10 12 14 16 16 15 14 17 21 20 15 11 10 9 9 12 16 18 16 17 18 14 9 7 10 9 8 8 8 7 7 6 6 5 4 3 4 6 6 7 6 6 6 6 7 7 5 4 3 3 4 5 5 6 7 7 7 7 7 7 7 7 8 7 7 7 8 7 7 8 8 7 7 7 6 5 5 5 5 5 5 5 6 5 5 3 3 4 4 4 3 2 3 3 3 4 5 5 6 6 5 4 3 2 1 0 0 0 0 0 0 0 8 27 41 55 101 168 226 370 455 399 345 373 494 588 521 324 182 160 164 175 208 185 202 299 354 270 124 30 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 13 19 37 41 35 32 32 33 35 34 31 29 26 26 31 38 49 64 85 96 92 86 75 59 45 34 35 35 43 48 60 70 80 87 88 85 81 80 83 88 92 93 94 94 104 127 142 135 109 87 73 64 57 52 49 47 45 44 43 46 52 58 59 57 59 54 44 37 34 34 35 35 35 37 40 38 44 39 33 30 30 31 30 30 29 28 27 27 29 29 28 25 24 25 24 23 21 19 18 17 19 20 18 16 15 13 9 7 7 8 6 3 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 2 4 8 11 12 11 11 12 13 10 4 0 0 0 0 0 0 0 0 3 15 31 42 50 61 64 72 77 75 69 65 58 54 55 66 78 82 84 85 83 83 84 78 63 54 50 45 45 47 53 62 67 73 72 65 60 62 81 85 84 74 66 63 58 51 46 40 37 34 33 32 31 30 28 25 21 19 18 17 17 16 15 15 16 16 16 15 15 15 15 15 16 18 20 22 22 22 20 19 17 17 17 16 14 13 11 11 11 10 11 11 12 13 13 13 14 16 19 20 23 40 71 109 209 355 512 651 764 924 1123 1286 1277 1190 1057 971 937 909 871 826 784 779 741 625 570 568 604 618 648 697 764 856 983 1184 1495 1796 1672 1428 1256
7 2 1 1 0 1 5 8 12 22 29 24 15 7 4 4 6 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 6 9 12 14 17 16 14 14 17 23 24 20 15 13 12 11 13 18 23 22 23 27 24 21 16 12 11 10 9 8 7 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 7 6 4 3 4 5 6 6 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 6 5 5 5 5 5 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 5 6 5 5 4 2 1 1 0 0 0 0 0 2 4 18 60 96 107 126 152 185 357 533 532 493 488 535 428 186 69 69 94 134 188 224 199 184 237 224 120 41 7 0 0 0 2 6 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 0 0 0 0 0 0 0 0 0 0 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 10 20 30 32 27 23 23 27 30 29 28 26 22 25 31 37 48 63 91 107 99 92 80 64 51 38 35 37 47 54 65 75 84 89 92 96 100 95 90 94 98 96 93 93 98 111 121 115 97 83 72 63 58 53 50 47 46 46 47 50 55 60 60 63 60 48 36 31 31 32 33 34 35 39 43 45 43 39 34 31 30 28 26 26 28 29 29 29 29 27 27 24 25 24 22 19 18 17 17 17 18 19 17 16 14 12 9 7 7 7 5 3 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 9 11 11 11 12 11 8 3 0 0 0 0 0 0 0 0 3 10 24 37 39 54 60 64 71 73 69 63 59 54 52 56 67 76 81 82 80 80 79 72 60 53 50 47 44 45 47 56 62 68 75 79 74 60 70 79 80 77 75 72 63 52 50 46 43 41 39 38 35 33 32 30 28 26 24 22 20 17 16 16 17 18 18 18 18 18 17 16 16 16 16 18 19 20 19 18 17 16 15 14 13 12 10 10 10 9 9 10 11 12 12 12 13 13 14 16 20 25 36 59 110 202 336 459 577 740 950 1147 1271 1271 1184 1086 1014 958 903 852 800 782 790 695 628 591 573 579 612 653 701 773 864 989 1187 1430 1604 1476 1260
3 1 0 0 0 0 3 5 6 14 26 29 24 16 13 12 13 11 11 6 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 10 7 9 13 16 17 16 14 15 18 23 27 25 21 18 14 13 14 19 25 26 25 29 27 25 22 18 14 11 10 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 6 4 4 5 6 6 7 7 7 7 7 8 7 7 7 7 7 7 7 8 7 7 7 7 8 7 5 5 5 5 5 5 5 5 5 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 5 6 5 4 3 1 0 0 0 0 0 0 4 14 23 39 80 117 124 131 156 223 421 645 700 679 559 389 128 37 36 56 81 116 167 210 207 181 182 128 43 7 1 0 0 0 1 3 5 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 0 0 0 0 0 0 0 0 0 0 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 9 20 29 32 28 24 22 25 28 29 29 24 21 24 31 35 48 71 101 115 106 96 85 70 57 49 44 46 54 63 72 82 88 93 102 114 118 105 93 96 97 89 88 88 91 96 99 98 92 82 71 63 58 54 50 47 46 47 49 51 57 62 64 67 59 43 32 30 30 32 34 36 37 38 40 41 39 36 34 32 31 29 28 28 30 32 33 31 30 28 26 24 23 21 19 17 15 15 17 19 18 19 18 16 15 13 10 8 7 7 4 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 7 10 11 11 9 7 3 0 0 0 0 0 0 0 1 2 4 15 31 31 39 49 57 64 68 64 60 57 53 51 51 55 65 72 76 76 75 73 65 57 50 48 47 45 45 45 50 57 63 69 79 74 59 58 67 71 71 72 74 69 62 57 52 51 48 46 44 41 38 34 30 31 30 29 28 26 23 20 19 19 20 21 22 22 21 19 18 18 16 15 16 16 17 16 16 15 14 12 11 10 9 8 8 8 8 8 8 9 10 10 12 12 13 12 13 16 19 23 31 48 91 205 296 398 526 703 969 1182 1286 1312 1279 1168 1090 1007 886 800 733 746 715 654 610 564 544 579 636 679 781 843 908 1010 1144 1388 1494 1266
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