Vorticity
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nan 3 3 3 3 3 3 3 3 3 3 3 5 6 7 7 7 6 6 6 6 6 5 5 4 4 3 3 4 4 5 5 4 4 4 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 4 4 3 3 3 3 3 3 3 3 4 4 5 5 5 4 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 3 3 2 2 2 2 1 2 2 2 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 6 5 4 4 4 4 4 4 4 4 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 4 4 4 4 4 4 4 4 2 1 0 -0 0 1 2 3 4 4 5 5 5 6 6 6 6 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 3 4 4 5 5 5 5 5 5 5 6 9 17 24 22 12 4 3 5 7 7 6 6 7 10 11 9 4 -1 -1 3 5 6 6 6 4 3 3 5 7 8 8 7 7 6 6 8 9 9 8 7 6 7 7 8 8 8 10 12 13 13 12 12 10 7 4 2 0 -1 -1 2 8 11 9 6 5 4 3 3 4 4 2 -1 0 4 4 2 1 3 2 -3 -9 -9 -4 2 6 8 9 7 3 2 4 5 4 4 5 7 8 7 6 5 6 9 9 7 5 4 4 4 4 5 6 7 7 6 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 7 8 11 14 19 18 11 7 6 7 8 7 7 8 9 11 11 12 11 10 8 6 5 5 5 5 6 6 5 3 -3 -8 -8 -4 -0 -1 -1 2 5 7 8 9 9 9 7 4 1 0 2 4 4 4 3 2 2 2 3 3 4 5 8 13 19 22 18 11 5 3 4 4 4 3 2 2 3 3 3 3 4 4 3 3 3 3 3 2 2 3 3 3 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 6 7 9 10 11 10 9 10 11 10 9 8 6 6 6 5 4 3 3 3 2 2 6 9 7 2 -2 -3 -1 -0 -2 -3 -1 3 5 8 9 9 8 7 8 9 10 11 12 13 12 11 10 10 10 10 11 11 12 13 13 13 14 14 14 13 12 12 11 11 10 9 7 6 5 4 2 2 3 4 6 6 6 6 6 6 7 7 8 9 8 6 5 4 3 3 2 2 1 1 1 3 5 7 6 5 4 3 4 4 3 3 3 4 4 4 4 4 nan
nan 3 3 3 3 3 3 3 3 3 3 3 4 6 7 8 8 7 6 7 7 7 6 6 5 4 3 3 3 4 5 5 5 5 4 4 4 3 3 2 2 2 2 2 3 3 3 3 2 2 2 3 3 4 4 3 3 4 5 5 5 4 4 4 3 3 3 3 3 3 3 4 4 5 5 5 4 4 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 2 2 2 2 2 2 2 2 3 4 5 5 5 5 5 5 5 4 4 5 5 5 5 5 6 6 6 5 5 4 4 4 4 4 4 4 5 6 6 6 6 6 6 5 6 6 5 5 5 5 5 4 4 4 4 4 4 4 3 2 -0 -1 -1 0 1 2 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 4 4 5 5 5 4 5 5 6 9 17 22 18 11 5 2 3 5 6 5 5 6 8 8 6 5 3 3 5 5 4 4 6 6 6 5 5 6 6 6 7 6 5 4 6 7 8 8 8 7 7 8 9 9 9 10 11 11 10 9 8 8 7 6 4 3 2 -1 -2 2 7 9 8 5 4 4 3 4 4 -1 -4 -2 3 3 1 1 2 0 -6 -11 -7 1 7 8 8 8 9 6 4 4 4 3 3 3 5 7 7 6 6 7 9 10 9 7 5 4 4 4 4 6 7 7 6 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 8 11 15 18 16 10 6 5 6 6 6 6 7 8 9 10 10 11 10 9 7 6 5 5 7 8 7 5 4 0 -6 -9 -6 -2 -3 -5 -2 4 7 7 8 9 9 7 4 1 -0 1 4 5 5 3 3 2 2 2 2 3 6 9 13 17 17 13 8 4 3 3 4 4 3 3 3 3 3 3 3 3 4 3 3 3 3 2 2 2 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 5 5 6 6 7 8 9 11 11 9 7 8 9 10 9 8 5 5 6 6 6 4 3 3 3 4 6 9 8 5 3 3 6 8 8 5 4 4 6 8 9 8 6 5 4 4 4 5 6 7 8 8 8 8 8 8 8 8 9 9 9 9 10 10 11 10 10 10 10 9 8 8 7 5 4 3 2 2 4 5 6 6 6 6 6 6 6 7 8 8 7 6 4 4 4 3 3 2 2 1 2 3 5 6 6 4 4 4 4 4 3 3 3 4 4 4 4 4 nan
nan 4 4 4 4 4 3 3 3 3 3 3 4 5 7 8 8 7 6 7 8 8 7 7 6 5 4 3 3 4 5 5 5 5 5 4 4 4 3 2 2 2 2 2 2 2 3 2 2 2 2 2 3 3 3 3 3 3 4 5 5 5 4 4 3 3 3 3 3 3 3 3 4 4 4 4 5 4 3 2 2 3 3 3 4 4 4 3 3 3 3 3 2 2 2 2 2 2 2 2 3 4 5 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 4 3 4 4 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 1 0 -0 0 1 2 3 4 4 4 5 5 5 4 4 5 5 5 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 9 16 20 17 13 9 5 2 2 3 4 4 5 6 6 5 5 6 6 6 5 3 4 5 6 7 7 6 5 5 6 7 8 6 4 5 5 6 6 7 7 7 8 10 10 9 9 9 8 7 6 6 6 6 6 5 5 4 2 0 0 4 6 6 4 4 4 3 5 7 3 -1 -0 2 3 1 1 0 -4 -9 -8 -2 5 8 7 6 6 9 11 10 7 2 1 1 2 3 5 6 6 6 7 7 9 10 9 6 4 3 3 4 5 6 6 6 6 6 6 5 5 5 4 4 4 4 4 5 5 5 5 5 5 6 7 11 16 19 16 9 5 5 6 5 5 5 5 6 7 8 8 9 9 9 8 7 5 5 6 8 8 6 4 3 -0 -5 -6 -1 1 -3 -4 0 5 7 7 7 8 6 4 1 0 2 5 6 5 4 3 3 2 2 2 3 6 8 10 11 10 8 6 4 3 4 5 4 3 3 3 3 3 3 3 3 3 3 4 3 3 2 2 2 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 2 2 2 3 4 5 6 8 9 11 11 11 11 11 11 8 6 6 8 8 8 6 4 4 6 9 9 7 4 3 4 4 6 6 6 6 7 9 11 12 12 9 6 6 7 8 8 7 6 5 4 3 3 4 6 7 8 7 7 7 7 7 7 7 7 7 7 8 9 9 10 10 10 9 9 9 8 7 6 4 3 2 2 3 5 6 6 6 6 6 6 6 6 7 8 8 7 5 4 3 4 4 4 3 3 3 2 3 5 6 5 4 4 4 4 4 4 3 4 4 4 4 4 4 nan
nan 4 4 4 4 4 4 3 3 3 3 3 4 5 6 6 6 6 6 7 8 8 8 8 8 7 5 4 4 4 4 5 5 5 5 5 4 4 3 3 2 2 2 3 2 2 2 2 2 2 2 2 3 3 3 2 2 2 3 4 4 5 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 2 2 3 3 3 3 3 3 3 3 3 3 3 2 3 2 2 2 3 4 4 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 4 4 4 5 5 6 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 3 3 2 1 1 2 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 5 5 5 5 5 7 13 17 17 14 11 9 6 4 3 2 2 2 3 4 5 6 6 6 5 5 5 5 4 5 6 5 4 4 4 5 7 8 7 6 6 5 5 5 6 7 7 7 7 7 6 5 4 5 5 6 6 6 6 5 5 5 4 4 3 2 2 2 1 1 3 4 4 7 9 7 3 2 2 2 1 -1 -5 -7 -6 -2 4 7 8 7 5 5 9 17 18 11 3 -1 -0 0 1 3 5 6 6 7 6 7 8 9 8 5 4 4 4 4 5 6 5 6 6 6 6 6 6 5 4 4 4 4 4 5 5 5 5 5 5 7 10 16 21 19 9 5 6 6 5 5 4 4 5 6 7 7 7 8 7 7 6 5 5 6 7 7 6 5 4 3 -1 -5 -2 3 3 -0 -0 3 5 6 6 6 5 3 2 2 3 5 6 5 4 4 3 3 2 2 3 4 5 6 7 7 7 6 6 5 5 5 4 3 3 3 3 3 4 4 3 3 3 3 3 3 3 2 2 2 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 2 2 2 2 2 2 3 5 7 9 11 14 17 18 17 14 12 10 7 5 5 7 8 7 6 5 5 8 10 11 9 6 5 6 6 7 8 9 10 12 14 13 12 9 6 5 6 7 7 7 6 6 5 4 3 3 5 6 7 7 7 7 6 6 6 6 6 7 7 7 7 8 9 9 9 10 10 9 8 7 6 5 4 3 3 3 4 5 6 5 6 6 6 6 5 6 7 8 8 6 4 3 4 5 5 5 5 4 3 3 4 5 5 4 4 4 5 5 5 4 4 4 3 3 4 4 4 nan
nan 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 7 7 8 8 8 8 7 5 4 4 4 5 5 5 5 5 5 4 4 3 3 2 3 3 3 2 2 3 2 2 2 2 3 3 3 2 2 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 2 2 3 3 3 2 3 3 2 2 3 3 3 3 3 3 3 3 4 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 6 6 6 7 6 5 4 3 3 4 4 5 5 4 4 5 5 5 5 5 5 5 5 6 5 5 5 4 4 4 4 3 2 2 2 2 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 5 5 4 4 4 5 5 5 5 5 6 8 12 14 14 12 11 9 7 5 2 -0 -1 1 4 6 6 7 7 6 6 5 5 5 5 5 3 3 3 4 4 4 6 7 6 6 6 6 6 7 8 8 6 5 4 3 2 2 2 3 6 7 7 6 5 5 5 4 4 4 4 2 -0 -2 -0 2 4 6 8 9 8 5 3 3 3 0 -5 -9 -6 -0 4 7 8 8 6 5 4 9 20 24 15 5 1 0 -1 -1 1 4 5 6 7 6 6 7 8 8 6 5 4 4 4 5 5 5 5 6 6 6 6 6 6 5 4 4 4 4 5 5 5 5 5 5 6 8 14 21 21 12 5 5 6 5 5 4 4 3 4 5 6 7 7 6 6 5 5 5 5 5 6 6 5 5 4 2 -2 -4 -2 2 2 2 3 4 4 4 4 3 2 2 3 4 5 5 4 4 4 3 3 3 2 2 2 2 4 6 7 7 8 7 7 6 5 4 4 3 3 3 3 4 4 3 3 3 3 3 3 3 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 2 2 2 1 1 2 3 5 7 9 11 13 16 19 20 19 14 9 6 4 4 4 6 7 8 8 7 7 8 10 11 10 9 9 9 10 11 14 17 17 16 15 12 8 5 4 4 5 6 6 6 6 5 5 4 4 4 5 6 7 7 7 7 6 6 6 6 6 6 7 7 7 8 9 9 10 10 10 9 8 7 6 5 4 3 3 4 4 5 5 5 5 6 6 5 5 5 6 7 6 5 4 4 6 7 7 6 6 4 3 3 4 5 4 3 4 5 5 6 5 5 4 3 3 3 4 4 4 nan
nan 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 7 7 8 8 8 8 7 6 5 5 4 4 4 5 5 5 5 4 3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 2 2 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 3 2 2 2 3 2 3 3 3 3 3 4 4 4 4 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 7 6 6 6 6 6 6 6 6 6 6 5 4 3 3 4 4 4 4 3 3 4 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 4 3 2 2 2 2 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 5 5 5 5 5 6 6 7 12 15 13 11 10 9 7 3 0 -1 1 4 6 7 7 8 9 7 5 5 6 7 6 5 4 4 4 3 2 3 4 4 4 6 8 8 9 10 9 7 6 5 4 3 3 3 3 4 5 6 5 5 4 3 3 3 5 6 3 -1 -2 1 3 4 7 8 8 7 5 4 4 3 -2 -8 -9 -3 4 7 7 7 6 5 4 3 7 17 21 15 7 5 2 -0 -1 -0 2 4 5 5 5 5 6 6 6 7 7 6 4 4 5 5 5 5 5 5 5 6 6 6 5 4 4 4 4 5 5 5 5 5 5 5 7 12 19 23 16 7 4 5 5 5 4 4 3 3 4 5 6 6 6 5 5 5 6 5 5 5 5 6 5 5 6 4 -2 -6 -6 -2 2 3 3 3 3 3 2 2 3 4 4 4 4 4 3 4 4 4 3 3 2 2 2 3 5 6 7 7 8 8 7 6 5 4 4 3 3 3 3 3 3 3 2 2 3 3 2 2 1 2 2 3 3 3 3 3 3 3 3 3 4 4 4 3 3 2 2 1 1 2 3 6 7 8 9 9 10 12 13 13 12 9 6 3 3 3 4 5 6 7 9 8 7 8 9 11 13 14 14 15 17 20 22 22 18 13 10 7 5 3 3 4 4 5 4 4 4 4 4 4 4 4 5 6 6 6 6 6 6 6 6 6 6 6 6 6 7 8 9 9 10 10 10 9 9 7 6 5 4 3 3 3 4 4 4 4 5 5 6 5 5 5 5 6 5 4 4 5 7 8 8 7 6 5 4 4 5 4 4 3 4 5 5 6 5 5 4 3 3 4 4 4 4 nan
nan 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 5 5 6 6 6 7 7 7 8 8 7 6 6 5 4 4 4 5 5 5 5 4 4 4 4 4 4 4 3 3 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 6 6 6 6 7 7 6 6 5 5 5 5 5 5 5 4 4 3 3 4 4 5 5 4 3 3 3 3 4 5 5 5 5 5 5 6 6 6 6 5 5 5 4 3 2 2 2 2 2 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 7 11 15 14 10 9 9 8 5 3 1 2 4 5 6 6 8 9 8 7 8 10 12 11 9 7 6 6 5 5 4 3 4 4 5 6 7 7 8 9 8 8 8 7 6 5 5 4 2 2 3 4 3 2 1 1 3 6 8 5 1 -2 -0 1 2 5 7 7 7 6 4 4 1 -5 -10 -7 1 6 7 6 6 6 5 4 3 5 11 14 11 7 6 4 1 -0 -0 2 3 3 3 4 6 6 5 5 6 7 7 6 5 5 5 5 5 5 5 5 5 6 6 6 5 4 4 4 5 5 5 5 5 4 5 5 9 17 23 20 12 6 5 5 5 5 5 4 3 3 4 4 5 5 5 5 5 6 6 5 5 5 5 5 5 6 7 3 -4 -10 -7 -0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 3 4 5 6 6 7 8 8 7 6 5 5 4 3 3 3 3 3 3 2 2 2 2 2 2 1 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 1 2 3 7 11 13 11 7 4 6 7 7 6 6 5 5 4 4 4 5 6 5 5 6 7 8 8 9 10 13 15 17 18 21 23 22 18 11 7 6 4 3 2 3 4 4 3 1 -1 -1 -1 0 2 3 4 5 5 6 6 6 6 6 6 6 5 5 5 6 6 7 8 8 9 10 10 10 9 9 7 6 5 4 3 3 3 3 3 4 4 5 5 5 5 4 4 4 4 4 4 5 6 7 7 7 7 6 5 5 5 5 4 3 3 4 5 5 5 5 4 4 4 4 4 4 4 4 nan
nan 4 4 4 4 4 4 5 5 5 5 4 4 4 4 3 3 4 4 5 5 5 5 6 6 7 7 8 8 8 7 6 5 4 4 4 5 6 5 5 4 4 4 4 4 4 3 3 3 2 2 2 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 3 3 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 4 4 4 5 5 6 5 5 3 3 2 2 3 4 4 5 5 5 5 5 5 6 6 6 6 6 5 4 3 3 2 2 2 2 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 7 9 13 13 11 10 9 7 6 4 3 3 3 3 4 5 7 8 10 11 14 16 16 14 12 10 8 8 8 8 6 5 5 5 4 4 4 4 5 6 8 9 9 9 7 6 4 4 3 2 2 4 4 3 1 1 3 6 7 6 2 -2 -4 -3 -0 2 5 8 7 5 5 4 -1 -9 -11 -2 5 7 7 6 5 5 5 5 3 4 7 9 7 6 5 4 3 2 2 2 2 1 1 3 6 7 6 4 5 7 7 7 6 6 6 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 4 4 6 12 21 24 18 11 7 6 6 6 5 5 4 4 4 4 5 5 5 5 6 6 6 5 5 5 6 6 5 5 7 6 1 -7 -8 -2 2 3 2 2 2 3 3 3 2 2 2 2 2 3 3 3 3 3 3 2 2 2 2 3 4 4 5 6 7 8 7 7 6 5 5 4 4 3 3 3 2 2 2 2 2 2 2 2 1 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 6 10 16 19 14 5 1 3 5 5 5 5 5 5 5 6 6 6 5 5 4 5 6 9 11 11 11 11 13 15 15 16 16 14 9 6 5 4 3 2 2 3 4 4 2 -1 -4 -8 -8 -6 -3 1 4 5 5 6 6 6 6 6 5 5 5 5 5 5 6 7 8 8 9 10 10 10 9 8 7 6 5 4 3 3 3 3 4 4 5 5 5 4 4 4 4 4 3 3 4 6 6 7 7 6 6 6 6 6 6 5 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 3 nan
nan 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 7 7 8 8 7 6 5 4 4 5 5 6 5 5 5 4 4 4 4 4 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 4 4 4 4 4 4 4 3 2 1 2 3 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 6 5 5 5 6 6 6 6 5 4 3 2 2 2 3 4 4 5 5 6 5 5 5 6 6 6 6 6 6 5 4 3 2 2 2 2 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 8 11 13 12 9 7 6 5 4 3 4 4 4 5 7 7 8 11 16 20 20 15 10 7 7 8 8 8 7 5 5 5 5 4 4 4 5 4 4 6 8 9 8 6 5 5 5 4 3 3 5 6 5 3 1 1 3 4 2 -1 -4 -6 -4 -1 1 4 6 7 7 7 4 -4 -12 -9 1 7 7 6 5 5 5 5 5 4 3 4 6 7 7 5 4 5 5 4 4 4 2 1 2 5 7 5 4 4 6 7 7 6 6 6 6 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 8 16 22 22 18 13 10 8 8 7 6 5 5 6 5 5 6 6 6 6 6 7 6 5 5 7 7 5 4 6 7 4 -4 -7 -2 2 3 2 2 3 3 3 3 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 6 7 8 7 7 6 5 5 5 4 3 3 2 2 2 2 2 2 2 1 1 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 4 4 4 6 9 13 18 18 12 5 2 3 5 7 6 6 5 4 4 5 5 5 5 4 4 4 6 10 14 17 16 14 14 13 11 9 8 6 5 5 5 4 3 2 3 4 5 5 5 4 2 -2 -5 -6 -5 -2 2 5 5 5 6 6 6 5 4 4 4 4 4 5 6 7 8 8 9 10 10 10 9 8 8 6 5 4 3 3 4 4 5 5 5 5 4 4 4 4 4 3 3 3 5 6 7 7 6 6 5 6 6 6 5 4 3 3 4 4 5 5 5 5 4 4 4 4 4 4 4 3 nan
nan 4 4 4 4 5 5 5 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 7 8 8 7 6 5 4 4 5 5 6 5 5 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 2 2 3 3 2 2 3 3 3 3 2 3 4 4 5 4 4 4 4 5 5 5 4 5 5 5 6 6 6 5 4 5 6 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 6 6 7 7 6 5 4 3 2 3 3 3 4 4 5 5 6 6 5 5 6 6 6 6 6 6 6 5 3 2 2 2 2 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 5 5 5 5 6 8 11 13 11 7 4 4 4 4 4 6 6 7 9 9 8 8 12 17 19 15 9 3 2 4 7 7 7 5 4 4 4 4 4 5 6 7 5 3 5 7 8 7 6 6 7 7 6 5 5 6 6 5 3 2 2 1 -1 -3 -6 -7 -5 -2 1 2 2 3 5 7 8 2 -9 -14 -8 2 6 6 5 5 5 5 5 6 5 4 4 6 7 8 6 5 6 6 5 6 6 4 2 2 4 5 4 3 4 5 7 7 6 6 6 6 5 5 5 5 5 4 4 5 5 6 6 5 5 5 5 6 6 6 5 5 5 5 9 14 19 21 19 15 13 12 11 9 9 8 7 7 6 6 7 7 6 6 8 8 6 7 9 8 5 4 5 6 4 -1 -4 -1 2 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 4 4 4 4 4 4 3 3 3 3 5 7 8 8 7 6 5 5 5 5 4 3 3 2 2 2 2 2 2 1 1 1 2 2 2 2 2 2 3 3 3 4 4 4 4 4 5 6 8 11 14 16 16 12 7 6 6 6 6 6 6 6 4 3 3 4 4 4 5 5 6 7 9 12 17 21 23 20 16 12 7 5 4 3 4 4 4 4 3 3 4 4 5 6 8 11 12 12 10 5 1 -0 1 4 5 5 6 6 5 4 4 3 3 3 4 5 6 7 8 8 9 9 9 9 9 9 8 7 5 4 4 4 4 5 5 5 5 5 5 4 3 3 3 3 3 4 5 6 7 6 6 5 5 5 5 4 4 3 2 3 4 4 5 5 5 4 4 4 4 4 5 4 4 3 nan
nan 4 4 4 5 5 6 6 6 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 7 8 8 7 6 5 4 5 5 6 6 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 3 3 3 3 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 3 2 3 3 3 3 3 3 3 3 3 3 4 4 5 4 4 4 4 5 4 4 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 4 4 4 5 5 6 6 6 6 6 4 4 3 3 4 5 5 4 4 4 5 6 6 6 6 6 6 6 6 6 6 6 5 4 2 2 2 2 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 6 5 6 7 9 12 13 10 6 3 3 4 4 5 6 8 10 10 9 9 9 11 13 13 8 4 2 3 5 7 8 7 6 6 6 6 6 6 5 5 5 4 3 4 6 7 7 6 6 7 8 7 6 6 7 6 4 4 6 6 1 -5 -9 -10 -6 -1 3 5 3 1 1 3 6 6 -1 -14 -17 -8 1 5 5 4 4 5 6 6 6 5 5 5 6 7 7 6 6 7 7 6 6 6 6 4 2 3 3 2 2 3 4 6 8 6 6 6 6 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 6 7 7 6 6 6 5 6 7 11 15 18 17 16 15 14 14 14 13 12 10 9 8 8 7 6 6 8 8 8 10 11 10 6 5 6 6 3 -1 -2 0 2 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 4 4 5 5 5 5 5 5 4 3 3 4 6 8 9 9 8 5 3 4 5 6 5 4 3 3 2 2 2 2 2 1 1 1 2 2 2 2 2 2 2 3 4 5 5 5 6 6 7 9 12 16 17 16 13 8 5 5 6 6 5 5 5 5 5 4 4 4 4 5 7 9 12 13 14 15 17 19 20 18 14 9 6 4 3 3 3 4 4 4 4 4 4 4 5 6 9 12 15 18 18 15 10 6 4 4 5 5 6 6 5 5 4 4 3 4 4 4 5 6 7 8 8 8 9 9 9 9 8 7 6 5 5 5 4 5 5 5 5 5 5 4 3 3 3 3 4 5 6 6 6 6 6 5 5 5 4 4 3 2 2 2 4 5 5 5 5 4 4 4 4 5 5 4 3 2 nan
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nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
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32 37 41 40 35 34 40 45 46 46 45 39 39 41 38 36 36 34 29 23 21 23 26 30 28 32 31 33 43 47 42 38 36 33 34 40 40 38 35 33 32 30 28 26 25 23 23 24 27 26 26 27 24 18 17 17 13 10 8 4 5 6 6 6 5 5 5 5 5 5 3 3 3 3 4 6 7 6 6 5 5 5 5 4 4 5 5 6 7 9 9 10 10 10 8 7 6 7 9 10 10 10 9 7 6 5 5 5 5 4 3 1 2 3 2 1 1 1 0 0 0 0 0 0 0 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 37 175 458 606 644 752 835 1043 1179 1230 1221 1191 1164 1164 1218 1190 1129 1010 865 848 781 890 1050 1343 1592 1565 1340 1093 786 421 117 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 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 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 1 0 0 0 0 0 0 1 3 3 4 3 4 6 11 18 28 38 53 91 127 163 214 264 336 403 465 545 647 761 848 905 956 1006 1040 1059 1093 1085 1112 1133 1154 1120 1127 1109 1105 1067 1014 1062 1224 1423 1673 2028 2415 2659 2803 2792 2589 2342 2133 1930 1781 1600 1426 1250 1077 983 937 878 812 781 819 863 831 762 656 547 506 562 680 818 993 1211 1377 1436 1496 1468 1477 1453 1364 1499 1762 1806 1553 1280 1337 1778 2172 2152 1986 1868 1889 2023 2102 2128 2095 1975 1863 1847 2167 2678 3023 3054 2969 2922 2912 2879 2789 2634 2416 2136 1860 1804 1932 2127 2330 2421 2359 2267 2281 2459 2779 3040 3057 2838 2599 2342 2136 1939 1753 1578 1435 1341 1303 1295 1312 1621 1900 2256 2256 2423 2490 2565 2273 1951 1920 2085 2527 3052 3020 2525 2042 1827 1719 1456 1387 1404 1716 2292 2891 3216 3142 2859 2698 2648 2643 2654 2672 2706 2800 3027 3350 3418 3173 2680 2215 2191 2655 3075 3029 3050 2868 2566 2161 2043 1811 1629 1545 1485 1432 1415 1433 1404 1390 1471 1582 1769 2057 2492 2898 2994 2729 2377 2136 2115 2334 2523 2438 2166 1913 1840 2079 2495 2881 3000 2872 2630 2406 2315 2517 2660 2704 2831 2891 2952 3034 3057 2962 2981 3121 3131 3025 3090 3181 3306 3396 3418 3265 2559 2189 2615 3428 3700 3143 2655 2645 2901 3226 3481 3566 3492 3632 3764 3687 3374 2992 2675 2514 2544 2547 2583 2794 3109 3246 3156 3145 3130 2997 2959 3207 3285 3268 3198 3157 3222 3327 3372
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12 12 11 11 12 13 12 11 10 9 7 10 10 8 7 8 8 8 7 7 8 8 8 8 8 8 8 8 8 7 6 6 6 6 5 4 5 5 4 4 4 4 3 4 5 6 6 7 8 8 8 8 9 9 9 8 8 8 9 6 5 6 5 4 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 2 2 2 3 3 3 3 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 3 3 3 3 1 1 0 0 0 0 1 2 3 3 3 1 1 1 1 1 1 1 1 2 2 3 4 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 0 0 1 6 6 4 3 8 24 81 232 490 754 1000 1180 1300 1409 1564 1759 1925 1961 2070 2219 2174 2065 2037 1922 1806 2087 2477 2566 2458 2416 2542 2687 2814 2880 2795 2706 2666 2606 2523 2506 2559 2343 2098 1977 1946 1929 1887 1884 1879 1734 1653 1582 1511 1429 1337 1272 1223 1180 1111 1037 981 970 1016 1058 1096 1153 1205 1228 1255 1311 1412 1573 1849 2385 2642 2803 2892 2907 2844 2770 2698 2624 2544 2465 2392 2335 2287 2243 2240 2236 2211 2177 2136 2073 1987 1867 1753 1684 1628 1565 1503 1448 1312 1293 1306 1308 1300 1278 1241 1210 1171 1128 1098 1096 1096 1088 1090 1116 1149 1179 1188 1184 1158 1103 1059 1044 1017 1002 971 935 934 994 1003 977 1050 1033 954 903 900 1000 997 999 1042 1066 1036 1062 1224 1500
13 11 9 11 11 11 12 11 11 10 9 9 10 9 8 7 8 8 7 7 7 8 8 8 8 8 7 8 8 7 6 6 6 6 5 4 5 5 4 4 4 3 4 4 5 6 6 7 8 8 8 8 8 8 8 8 9 8 6 6 5 4 4 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 2 2 2 3 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 3 3 3 2 1 0 0 0 0 1 2 2 3 3 2 1 2 2 1 1 1 1 2 2 3 4 6 6 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 0 0 3 6 7 5 5 11 36 114 347 644 853 998 1085 1157 1302 1465 1614 1767 1964 2171 2183 2016 1925 1796 1694 1795 2113 2284 2297 2327 2432 2613 2763 2902 2907 2815 2672 2585 2665 2763 2691 2415 2232 2107 2029 2008 2004 1944 1901 1825 1737 1650 1565 1477 1381 1322 1283 1231 1155 1075 1014 997 1029 1051 1044 1051 1092 1153 1223 1293 1343 1420 1599 1985 2389 2706 2885 2902 2842 2789 2718 2629 2547 2480 2411 2340 2288 2246 2227 2226 2232 2235 2229 2198 2104 1960 1827 1738 1688 1646 1605 1577 1461 1369 1310 1285 1282 1283 1265 1261 1220 1150 1091 1066 1061 1048 1064 1110 1141 1163 1182 1187 1148 1078 1040 1012 970 927 899 894 918 982 971 976 998 992 918 930 1020 1053 1057 1055 1074 1069 1089 1199 1505 1758
15 11 9 9 9 9 10 11 11 11 9 8 10 8 7 7 7 7 7 8 7 7 8 8 8 8 7 7 7 6 6 6 6 6 4 4 4 4 4 4 3 3 4 4 5 6 6 7 8 8 8 8 9 9 9 9 8 7 6 6 5 4 4 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 1 1 2 2 2 2 3 3 3 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 3 3 3 2 1 0 0 0 0 1 2 3 2 2 2 1 2 2 2 1 1 1 2 3 3 4 6 7 7 7 4 3 2 2 1 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 1 5 11 10 7 9 20 59 192 482 799 1012 1079 1065 1109 1203 1335 1484 1713 1963 2070 1965 1772 1604 1544 1550 1729 1923 2024 2104 2252 2506 2677 2817 2847 2784 2754 2901 3071 3096 3020 2858 2641 2370 2077 1897 1972 1957 1893 1803 1712 1635 1557 1465 1386 1332 1279 1233 1183 1123 1071 1049 1061 1050 1001 992 1023 1086 1181 1280 1285 1381 1574 1838 2142 2471 2732 2842 2835 2786 2714 2630 2546 2479 2412 2359 2317 2287 2282 2278 2257 2256 2261 2239 2156 2036 1918 1824 1750 1684 1661 1633 1573 1467 1357 1320 1308 1273 1227 1232 1206 1142 1092 1070 1088 1036 1045 1087 1126 1158 1183 1183 1160 1114 1067 1014 946 886 865 889 869 869 866 852 838 922 920 958 1025 1157 1240 1200 1301 1384 1371 1554 1797 1958
14 8 8 8 8 8 10 11 12 12 11 9 10 9 8 7 7 7 7 8 7 7 7 8 8 8 7 7 7 6 6 6 6 6 4 4 5 4 4 4 3 3 4 5 6 6 6 7 8 8 8 8 8 8 8 7 6 6 6 6 5 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 2 2 2 2 1 0 0 0 0 1 2 3 2 2 2 2 3 2 2 3 2 2 3 4 5 6 7 8 9 9 5 2 3 2 2 1 1 1 0 1 2 2 2 1 1 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 9 11 12 18 33 82 319 686 993 1124 1117 1103 1099 1170 1278 1450 1692 1937 2036 1757 1533 1402 1377 1496 1666 1826 2194 2237 2437 2607 2710 2740 2737 2795 3074 3110 3099 3039 2896 2710 2560 2271 2061 2064 2054 1965 1814 1676 1598 1545 1483 1414 1328 1247 1196 1170 1154 1135 1111 1126 1111 1086 1063 1044 1051 1125 1213 1249 1373 1555 1728 1850 2020 2383 2688 2792 2772 2703 2625 2550 2476 2415 2351 2315 2306 2297 2274 2265 2265 2231 2201 2155 2091 2015 1936 1811 1736 1689 1645 1603 1556 1493 1453 1392 1293 1224 1185 1146 1105 1079 1091 1146 1123 1092 1090 1112 1146 1178 1196 1191 1158 1095 1010 938 887 883 892 840 789 771 768 707 852 925 982 1102 1345 1476 1309 1337 1387 1497 1692 1888 1985
11 9 8 8 8 10 11 12 13 15 13 10 10 11 9 8 8 8 7 7 6 7 6 7 8 7 7 7 6 6 6 6 6 5 4 4 5 5 4 4 4 5 5 5 6 6 6 7 8 8 8 9 8 7 6 6 6 6 6 6 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 3 2 2 2 1 0 0 0 0 0 1 2 2 3 3 2 2 3 2 3 3 2 3 3 5 6 7 10 11 12 12 8 5 3 3 3 2 2 2 0 2 3 4 4 2 1 0 1 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 13 24 35 50 90 243 503 777 979 1089 1142 1114 1101 1124 1209 1394 1693 1988 1887 1640 1376 1261 1338 1511 1715 1990 2215 2426 2561 2603 2596 2674 2774 2895 2921 2896 2789 2634 2530 2591 2414 2254 2236 2248 2154 1959 1761 1642 1584 1553 1495 1398 1298 1234 1214 1228 1239 1231 1227 1206 1172 1138 1106 1074 1122 1184 1261 1387 1557 1763 1847 1843 2020 2381 2664 2725 2684 2628 2547 2457 2378 2307 2270 2261 2247 2240 2276 2245 2194 2160 2139 2112 2047 1953 1824 1741 1699 1664 1627 1620 1614 1575 1510 1439 1375 1291 1207 1152 1131 1143 1185 1208 1181 1121 1118 1141 1167 1197 1196 1147 1073 1018 1005 922 887 881 852 780 698 773 764 836 929 1055 1281 1543 1514 1349 1227 1187 1310 1598 1939 2048
11 9 8 8 8 11 13 14 15 15 13 10 10 9 8 8 7 7 7 7 7 7 7 6 7 7 7 6 6 6 6 6 6 5 4 4 4 4 4 4 5 5 5 6 6 6 6 7 8 8 8 9 7 6 6 6 6 6 6 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 2 2 2 1 0 0 0 0 0 0 0 1 2 2 2 1 1 3 3 3 3 3 4 5 6 7 8 11 13 14 12 10 9 7 5 5 5 3 2 1 2 5 6 6 4 2 1 3 2 2 2 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 16 37 59 96 146 223 345 511 638 777 953 1055 1095 1097 1089 1154 1405 1736 1916 1837 1605 1442 1502 1454 1730 2033 2285 2442 2508 2522 2507 2620 2717 2735 2703 2622 2611 2772 2883 2860 2700 2532 2537 2484 2259 2099 1940 1796 1691 1627 1563 1489 1422 1381 1392 1382 1366 1341 1316 1283 1240 1207 1197 1204 1242 1287 1350 1448 1594 1884 2046 1995 1863 2076 2501 2609 2648 2621 2523 2438 2375 2315 2260 2228 2217 2237 2242 2214 2172 2129 2097 2060 1975 1879 1795 1738 1703 1683 1659 1636 1631 1629 1605 1576 1528 1452 1414 1362 1305 1271 1241 1197 1184 1136 1126 1150 1177 1182 1147 1069 993 989 987 926 865 853 868 817 941 929 896 893 922 1052 1286 1441 1401 1258 1128 1059 1141 1604 2001 2089
13 10 10 10 9 15 15 14 15 14 12 10 10 8 8 7 7 7 7 7 7 7 7 7 6 7 6 6 6 6 6 6 5 4 4 5 4 4 4 4 5 5 6 6 6 6 7 8 8 8 8 7 7 6 6 6 6 6 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 1 0 0 0 0 0 0 0 0 0 0 1 1 2 1 1 2 3 3 4 4 4 5 5 8 10 12 13 12 12 11 10 9 8 9 8 5 4 3 5 7 8 6 4 3 2 2 3 3 3 3 3 3 0 1 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 12 31 59 103 162 226 270 324 380 471 647 842 1019 1141 1097 1102 1278 1553 1791 1905 1863 1696 1597 1509 1747 2105 2411 2529 2509 2501 2484 2558 2617 2599 2553 2461 2437 2798 3168 3339 3272 3071 2790 2481 2313 2199 2051 1924 1814 1722 1642 1573 1520 1508 1537 1507 1459 1417 1381 1339 1303 1298 1316 1342 1380 1431 1486 1536 1673 1959 2187 2247 2065 1894 2190 2466 2582 2582 2518 2438 2358 2288 2240 2218 2213 2229 2232 2203 2142 2076 2023 1964 1894 1828 1783 1735 1688 1670 1669 1673 1700 1684 1652 1645 1626 1577 1564 1523 1468 1427 1396 1339 1249 1216 1189 1185 1192 1185 1124 1035 949 913 888 845 795 778 860 857 941 1015 1042 1026 1012 1095 1200 1284 1266 1189 1124 1128 1176 1636 1869 1900
10 11 11 12 14 16 14 14 15 14 13 11 9 8 7 7 7 7 7 7 7 7 7 6 6 6 6 7 6 6 6 6 5 4 4 5 4 4 4 4 5 6 6 6 6 6 7 8 8 8 7 6 6 6 6 6 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 2 2 2 3 3 4 4 4 5 7 8 11 12 12 11 12 12 11 11 11 10 8 7 6 7 9 10 9 6 5 4 3 4 5 5 5 5 5 3 2 2 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 17 41 72 107 148 191 203 228 272 367 530 769 1064 1138 1142 1218 1390 1596 1790 1914 1869 1812 1850 2010 2285 2533 2612 2552 2477 2435 2454 2452 2434 2391 2318 2326 2553 3038 3496 3635 3514 3270 2935 2659 2402 2220 2094 1968 1841 1734 1660 1600 1591 1579 1539 1489 1452 1427 1381 1378 1393 1415 1433 1451 1491 1552 1605 1761 1991 2207 2351 2360 2204 2233 2438 2513 2517 2483 2429 2362 2276 2232 2214 2196 2185 2190 2196 2127 2042 1963 1903 1870 1855 1823 1760 1688 1642 1656 1694 1708 1687 1658 1676 1682 1657 1623 1580 1539 1511 1483 1444 1413 1384 1332 1267 1224 1171 1099 1050 968 897 841 777 734 737 808 861 936 1029 1105 1125 1169 1250 1242 1204 1183 1159 1196 1258 1232 1397 1525 1511
13 14 14 14 14 14 14 14 14 14 13 11 8 7 8 9 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 5 5 4 4 5 4 4 4 4 5 6 6 6 6 7 7 8 8 7 6 6 6 6 6 5 5 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 4 4 5 5 7 10 12 12 11 12 15 16 15 15 14 12 11 12 15 13 14 14 12 10 7 5 6 9 9 8 8 8 9 6 4 3 2 2 1 1 1 0 1 1 2 2 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 18 35 55 67 87 107 113 116 144 238 445 780 1015 1137 1187 1258 1399 1590 1778 1891 2006 2133 2258 2430 2588 2609 2572 2483 2439 2436 2406 2357 2332 2291 2276 2293 2682 3184 3518 3643 3647 3505 3216 2875 2624 2401 2196 2030 1869 1780 1699 1651 1611 1560 1499 1466 1462 1452 1453 1457 1468 1472 1462 1499 1582 1695 1837 2001 2166 2326 2478 2514 2430 2489 2517 2485 2438 2395 2371 2278 2233 2204 2177 2161 2165 2177 2117 2030 1956 1903 1878 1875 1835 1769 1696 1633 1630 1669 1693 1678 1635 1670 1697 1693 1661 1617 1575 1543 1510 1478 1463 1431 1378 1303 1248 1163 1079 1031 975 914 888 810 770 789 848 930 1017 1099 1142 1155 1182 1222 1218 1143 1093 1065 1165 1210 1213 1219 1238 1239
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16 17 16 15 17 14 12 12 13 13 13 11 10 9 8 7 6 7 7 7 7 7 7 6 6 6 6 6 6 6 7 5 4 4 4 4 4 4 4 5 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 1 1 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 3 4 7 9 10 11 15 16 18 19 19 18 18 19 19 19 20 21 22 22 21 20 19 17 12 11 11 11 12 12 12 12 10 7 6 4 3 2 2 3 3 3 3 4 4 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 2 6 10 20 29 33 29 15 6 42 133 353 644 872 980 1061 1165 1302 1455 1645 1824 1969 2127 2276 2366 2414 2442 2479 2524 2568 2615 2579 2276 2216 2241 2340 2474 2575 2846 3174 3415 3486 3415 3273 3091 2846 2598 2323 2081 1917 1834 1793 1743 1679 1634 1608 1582 1558 1542 1534 1524 1526 1555 1584 1631 1728 1873 2020 2146 2306 2466 2594 2657 2632 2508 2412 2345 2330 2297 2244 2208 2153 2149 2155 2143 2105 2039 1972 1922 1878 1795 1732 1704 1688 1671 1659 1654 1645 1636 1640 1666 1691 1708 1706 1683 1660 1637 1621 1606 1559 1473 1393 1320 1260 1220 1198 1145 1051 934 894 835 795 805 882 943 1000 1045 1065 1072 1078 1087 1156 1309 1406 1449 1476 1480 1430 1379 1391 1396
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7 7 8 9 10 11 11 12 12 10 11 12 12 12 12 11 10 10 10 8 7 5 5 4 3 2 2 2 1 1 1 1 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 1 2 3 3 2 3 4 4 3 2 2 2 3 3 2 1 1 3 4 7 10 15 20 26 30 30 29 27 23 19 17 13 12 13 14 16 17 17 17 18 19 20 21 24 30 37 44 44 41 38 36 33 30 27 26 25 24 24 27 31 32 32 31 28 22 20 24 24 22 18 13 8 5 4 3 3 2 3 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 10 40 83 116 128 131 124 130 156 199 270 372 522 619 616 543 495 456 482 465 352 288 225 137 78 59 70 101 124 196 313 459 611 742 865 991 1090 1164 1239 1307 1424 1701 1878 1882 1876 2256 2148 2021 1962 1924 1797 1582 1484 1407 1353 1364 1405 1443 1481 1493 1490 1503 1491 1464 1433 1419 1441 1425 1476 1482 1483 1497 1548 1551 1544 1543 1526 1479 1421 1415 1434 1471 1475 1420 1398 1454 1547 1628 1704 1791 1859 1951 2045 2139 2239 2353 2409 2400 2357 2301 2253 2193 2123 2027 1902 1776 1701 1679 1735 1763 1775
2 5 6 7 8 9 10 11 12 12 12 12 12 12 12 11 10 10 11 10 7 5 4 3 2 2 2 2 2 1 1 1 1 1 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 1 2 2 2 1 3 3 2 2 1 1 2 2 1 0 0 2 3 4 6 9 14 20 28 32 31 28 24 21 19 16 13 11 12 13 16 18 18 18 19 19 19 19 21 25 30 36 39 40 39 37 35 33 29 26 23 21 21 23 29 30 30 30 27 20 20 23 24 24 22 18 12 10 8 5 3 2 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 24 58 99 119 130 127 116 107 103 152 252 349 407 427 409 380 329 287 240 232 253 226 184 146 122 118 154 152 184 265 385 521 628 722 802 884 971 1054 1180 1309 1462 1607 1722 1527 1863 1981 1956 1904 1901 1813 1701 1578 1427 1281 1241 1320 1370 1392 1400 1374 1410 1449 1453 1432 1432 1521 1529 1553 1576 1565 1516 1551 1547 1520 1488 1450 1391 1361 1379 1419 1439 1402 1332 1315 1364 1447 1531 1604 1692 1781 1895 2005 2100 2209 2348 2382 2346 2270 2195 2181 2137 2047 1912 1753 1636 1670 1732 1771 1759 1707
1 2 3 7 8 9 10 11 13 12 12 13 12 13 13 12 11 10 11 9 8 6 5 3 2 2 2 2 2 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 2 2 1 1 2 1 1 2 2 1 0 0 1 2 3 5 8 14 24 32 33 31 26 22 22 20 16 14 13 13 14 15 17 18 18 17 17 17 15 17 24 31 36 40 41 41 39 34 31 27 23 21 20 20 24 27 28 29 31 32 29 26 25 24 25 25 22 17 13 10 7 5 3 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 22 66 102 126 132 119 97 70 94 161 235 285 307 296 300 295 270 237 266 306 321 317 300 267 252 228 214 228 274 354 455 541 621 695 757 796 849 986 1124 1227 1323 1659 1534 1593 1750 1886 1840 1899 1984 1990 1900 1788 1600 1396 1222 1159 1190 1300 1288 1325 1409 1493 1528 1550 1594 1615 1620 1618 1619 1557 1532 1521 1489 1424 1382 1364 1341 1337 1351 1346 1290 1226 1228 1288 1370 1436 1490 1580 1685 1808 1930 2034 2145 2258 2302 2269 2183 2138 2104 2038 1937 1818 1693 1653 1707 1767 1788 1781 1681
2 2 3 6 7 8 9 11 13 13 12 12 12 12 13 12 11 10 10 8 7 6 5 4 2 2 2 2 2 1 1 1 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 3 4 3 3 3 2 2 3 3 2 1 1 2 2 2 4 7 11 21 28 30 28 25 22 21 18 15 13 13 12 13 13 14 14 14 14 14 15 16 19 26 34 39 42 44 44 40 33 29 27 25 24 23 21 22 24 28 31 34 37 36 31 26 22 20 23 23 21 17 14 10 8 6 4 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 39 85 124 142 125 101 83 88 115 154 186 219 240 268 299 322 313 357 404 444 468 459 416 372 329 289 271 283 326 383 441 495 537 570 581 625 718 840 986 1135 1390 1462 1464 1506 1736 1770 1907 1978 1921 1744 1754 1727 1656 1441 1148 1068 1256 1307 1327 1382 1504 1559 1593 1619 1624 1609 1615 1611 1564 1511 1475 1448 1373 1356 1377 1334 1255 1203 1165 1142 1138 1173 1244 1323 1388 1459 1567 1703 1852 1977 2085 2158 2206 2223 2208 2156 2099 2012 1907 1783 1708 1662 1691 1752 1773 1742 1679 1563
2 3 4 5 6 7 9 11 13 15 13 13 13 13 13 13 11 10 9 8 8 6 5 4 3 2 2 1 1 1 1 1 1 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 2 3 4 4 3 2 1 2 2 2 4 7 10 14 17 20 23 22 20 18 15 13 12 12 13 12 12 12 12 12 11 12 14 16 21 29 39 44 46 46 43 38 33 30 29 28 27 26 24 23 24 26 28 31 34 35 33 28 24 19 22 25 25 22 17 13 11 9 8 7 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 29 77 132 162 141 120 109 112 125 140 157 187 219 252 288 333 354 403 463 520 567 568 505 423 347 291 267 259 279 320 358 364 371 375 387 423 475 524 673 866 1077 1245 1328 1300 1466 1546 1621 1621 1478 1149 1070 1131 1380 1628 1383 1337 1400 1449 1456 1428 1474 1503 1507 1515 1530 1528 1562 1563 1532 1478 1411 1379 1361 1299 1267 1227 1116 1064 1107 1116 1138 1203 1259 1350 1452 1579 1721 1869 2016 2109 2169 2195 2197 2158 2123 2057 1968 1874 1785 1667 1623 1634 1705 1777 1735 1651 1542 1424
1 3 3 4 6 7 9 11 13 14 14 14 13 12 12 11 10 10 10 9 7 5 4 4 3 3 2 2 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 3 4 4 3 2 2 1 2 2 3 5 8 10 13 16 20 22 20 17 14 12 11 11 12 12 12 12 11 10 9 9 10 13 17 24 33 43 49 50 47 42 35 33 31 30 28 25 23 23 22 21 21 23 26 29 32 34 33 28 24 23 24 27 26 22 18 16 13 12 11 9 8 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 28 77 151 178 170 156 146 142 149 160 172 188 207 229 268 304 339 381 433 491 544 553 509 436 351 250 200 179 192 224 248 236 244 242 237 246 292 301 394 548 740 947 1129 1214 1297 1306 1264 1191 998 733 570 551 758 1359 1463 1524 1551 1567 1571 1502 1476 1458 1436 1440 1481 1499 1508 1489 1455 1422 1343 1252 1223 1192 1131 1056 914 989 1058 1084 1140 1296 1346 1470 1628 1763 1862 1980 2109 2184 2204 2197 2197 2129 2060 1978 1882 1780 1728 1683 1676 1690 1706 1728 1645 1528 1402 1287
1 2 3 4 5 7 9 11 13 15 14 12 12 12 12 11 10 9 10 8 7 6 5 4 3 2 2 2 2 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 2 3 2 1 1 1 1 1 2 4 5 8 10 15 19 22 20 17 14 11 9 10 11 11 12 12 12 10 9 8 9 10 12 16 25 38 44 48 48 44 39 34 31 30 29 27 25 24 23 22 22 21 21 22 25 29 32 33 30 26 25 27 29 29 26 23 21 18 16 14 12 10 8 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 26 74 148 183 200 203 195 172 176 188 202 212 217 227 259 287 310 329 359 404 442 451 432 401 362 220 137 100 104 137 177 168 155 140 125 116 159 173 217 307 460 692 902 1062 1131 1105 1012 877 693 531 420 395 547 1009 1335 1500 1559 1584 1570 1511 1467 1431 1401 1422 1465 1439 1425 1402 1352 1335 1262 1189 1121 1039 971 948 901 980 1040 962 894 1197 1366 1501 1671 1821 1861 1940 2043 2131 2186 2188 2174 2102 2001 1906 1840 1716 1656 1646 1668 1701 1664 1594 1484 1355 1249 1157
1 2 3 3 5 6 9 11 13 14 13 12 13 12 12 11 10 9 9 8 8 7 6 4 3 3 2 2 2 1 1 1 1 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 1 1 1 0 0 1 2 3 5 7 11 15 18 18 17 14 12 9 8 9 9 10 11 12 11 10 9 9 10 10 13 18 28 38 44 47 44 38 34 30 27 27 26 26 24 24 23 22 21 20 18 19 22 25 29 31 31 29 27 27 29 28 28 29 26 21 18 15 12 9 8 7 5 3 1 0 0 0 0 0 0 0 0 0 0 0 1 3 10 27 78 140 188 226 252 257 232 224 233 246 253 249 249 259 271 275 272 295 325 347 350 334 310 284 193 106 52 39 62 100 111 98 76 66 59 76 90 107 148 241 451 658 826 895 842 858 767 609 479 441 454 608 893 1189 1398 1474 1502 1488 1430 1399 1395 1351 1341 1390 1349 1277 1285 1275 1221 1137 1066 1009 902 816 867 859 814 847 894 763 981 1245 1401 1497 1619 1692 1788 1910 2040 2119 2133 2097 2002 1859 1742 1639 1530 1476 1506 1575 1578 1518 1418 1298 1178 1092 1016
1 2 2 2 4 6 8 10 12 13 12 13 13 12 12 11 10 10 9 7 7 6 5 4 3 3 2 2 2 2 1 1 1 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 2 3 6 10 13 15 16 15 12 10 9 8 8 8 9 11 11 11 11 9 10 13 14 18 28 39 45 46 44 40 37 32 28 26 24 23 23 20 20 20 20 20 19 17 16 17 20 24 27 29 29 27 26 27 28 29 30 28 22 18 15 12 9 7 7 6 4 3 1 0 0 0 0 0 0 0 0 0 1 4 10 23 51 111 175 231 272 296 303 289 280 283 290 291 288 282 271 261 259 251 259 268 270 258 228 210 181 132 81 44 25 36 57 68 59 40 31 29 36 46 59 81 138 261 417 573 686 685 722 756 688 545 553 619 758 919 1098 1269 1315 1319 1341 1342 1311 1314 1310 1251 1270 1291 1195 1162 1143 1108 1053 946 848 837 756 751 785 784 714 806 811 892 1078 1220 1250 1329 1458 1617 1784 1947 1999 2001 1947 1808 1629 1513 1395 1318 1303 1363 1425 1430 1355 1231 1111 1011 935 868
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