Vorticity
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nan 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 2 2 2 2 2 2 3 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 5 5 5 5 5 4 4 5 5 4 4 3 3 4 4 4 5 5 6 7 7 6 5 4 4 4 4 4 5 6 7 6 5 4 4 4 4 4 4 4 4 5 8 12 14 14 13 16 21 24 24 20 15 12 10 10 9 8 7 6 5 4 4 4 4 4 2 2 3 4 4 5 5 5 5 4 3 2 -0 -1 -1 -1 0 1 2 2 2 2 2 2 2 1 1 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 7 11 16 17 12 7 4 3 3 5 6 6 4 2 2 3 4 7 10 10 9 8 6 5 4 5 6 5 5 4 3 3 3 3 3 3 3 4 4 3 3 3 5 5 4 2 1 1 -1 -2 -2 -1 1 2 1 -0 0 4 8 10 9 7 5 4 4 7 10 7 1 -0 3 5 3 1 -0 0 2 2 1 1 2 1 2 9 16 17 12 7 5 5 4 4 4 3 3 4 4 5 5 4 4 3 3 3 2 2 2 2 1 1 2 2 3 3 3 4 4 5 5 6 6 6 6 6 7 7 8 8 8 8 7 5 3 2 1 1 1 3 4 5 5 5 4 5 5 4 3 3 3 4 5 6 6 6 5 5 5 5 6 6 7 4 -2 -8 -9 -5 -3 -3 -2 1 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 5 5 5 4 4 4 4 4 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 4 4 4 5 5 5 5 5 6 6 6 7 7 8 9 10 11 14 18 22 22 20 16 12 8 4 0 -2 -3 -2 -0 1 1 2 3 4 3 2 2 3 3 2 -2 -6 -8 -9 -7 -6 -8 -8 -3 1 4 6 7 8 9 9 10 10 11 12 12 12 9 6 5 5 4 5 6 7 7 8 8 8 9 9 9 7 6 5 4 2 2 1 0 0 1 1 1 1 2 4 5 5 5 5 5 5 4 4 4 4 5 4 4 4 3 3 3 2 3 3 3 3 2 1 0 0 1 2 4 5 7 8 8 8 7 6 5 4 nan
nan 5 5 5 5 5 5 5 4 4 4 4 4 3 3 3 3 2 2 2 2 2 2 3 3 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 4 4 4 4 4 4 5 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 5 6 6 5 4 4 4 4 4 4 5 5 6 7 7 6 5 4 4 4 3 3 4 5 6 6 5 5 4 4 4 4 4 4 4 5 7 12 16 15 12 11 12 15 17 17 16 14 11 9 9 8 6 5 5 5 5 5 5 4 3 3 3 4 4 5 5 5 5 5 4 3 2 0 -0 -0 0 1 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 6 10 16 18 13 8 6 4 3 5 6 6 5 3 4 5 5 5 7 9 10 8 6 4 4 6 6 6 5 5 4 4 5 5 5 5 4 5 5 5 5 5 5 4 3 2 2 1 0 -1 -0 3 6 6 4 0 -1 1 7 9 8 6 3 1 3 8 9 5 3 2 2 0 -1 -1 0 2 4 5 4 4 5 5 7 13 18 17 12 7 5 5 4 4 4 3 3 3 4 5 5 5 4 4 3 3 3 3 2 2 1 1 1 2 3 3 3 4 5 5 6 6 6 7 7 7 7 8 8 8 8 7 7 5 4 3 2 -0 -1 0 3 6 7 6 5 4 4 4 3 3 4 5 6 6 5 5 5 5 5 5 5 6 6 5 -1 -8 -11 -9 -6 -6 -7 -4 1 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 5 5 5 5 5 4 4 4 5 5 5 6 6 6 6 6 7 7 6 6 6 5 5 5 5 5 5 4 4 4 5 4 5 5 5 6 6 6 6 7 7 8 9 11 13 16 18 20 20 17 13 10 7 5 3 2 2 2 2 2 3 3 3 3 4 5 6 5 3 1 1 1 5 9 8 3 0 1 3 6 8 10 10 9 9 8 8 8 8 8 7 5 4 4 5 5 6 6 7 6 6 6 6 6 5 4 3 3 3 2 2 1 1 2 3 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 3 3 2 2 2 2 2 1 0 0 1 2 4 5 6 8 8 8 8 7 6 5 4 nan
nan 5 5 6 6 6 5 5 5 4 4 4 4 3 3 3 3 3 3 3 2 2 2 3 3 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 6 6 6 4 4 4 4 4 4 4 5 5 5 6 6 6 5 5 4 4 3 3 3 4 5 6 6 5 4 4 4 4 4 4 4 4 7 12 16 15 11 8 7 9 11 13 13 12 10 8 8 7 6 6 6 5 5 4 4 4 4 3 3 4 4 4 5 5 5 5 4 4 3 1 0 -0 -0 1 1 2 2 2 1 1 2 1 2 2 2 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 4 4 5 5 5 6 9 15 18 14 10 9 8 6 5 6 5 4 3 4 5 6 5 5 6 7 6 4 4 5 5 6 6 6 6 6 6 5 5 5 5 5 6 6 6 6 7 7 5 3 2 2 3 2 1 2 5 8 7 4 1 -1 1 4 7 6 4 2 1 3 5 5 4 4 3 0 -3 -2 -1 1 4 6 7 7 7 8 9 13 19 21 17 11 7 5 5 5 4 4 3 3 3 4 5 5 5 4 4 3 3 3 3 3 2 1 1 1 2 3 3 3 4 5 5 6 6 7 7 8 8 8 8 8 8 8 8 7 6 5 4 3 0 -1 -0 3 7 8 6 5 5 4 4 3 4 5 6 6 5 5 5 5 5 5 5 5 5 6 6 4 -2 -8 -8 -4 -3 -5 -5 -2 2 3 3 4 4 4 4 4 4 3 3 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 5 5 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 6 7 7 8 9 11 13 15 14 11 10 9 6 5 4 5 5 4 4 4 2 2 3 4 5 6 5 4 5 8 11 14 16 15 9 3 2 3 5 7 8 9 10 9 9 8 8 8 8 7 6 6 6 7 7 8 9 9 8 7 7 6 5 4 3 2 2 2 2 2 2 3 4 4 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 3 3 2 2 2 2 1 1 1 1 2 4 5 7 8 8 9 8 7 6 5 5 5 nan
nan 5 5 6 5 5 5 5 5 5 4 4 4 3 3 3 3 3 3 3 3 2 2 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 4 4 5 5 5 6 6 5 4 4 5 5 5 5 5 5 5 5 5 5 6 5 5 5 4 4 3 3 4 6 7 6 5 4 4 4 4 4 4 4 4 6 11 15 15 12 8 6 6 7 9 9 9 8 7 7 7 7 6 6 6 5 4 4 4 3 3 3 3 3 4 4 4 4 4 4 3 3 2 1 -0 -0 0 1 1 1 1 1 1 1 1 1 2 2 3 3 3 3 2 2 2 3 3 3 3 3 3 3 3 4 4 4 5 5 5 6 7 12 15 14 11 10 9 8 6 5 5 4 3 4 5 6 5 4 4 4 4 5 5 5 5 5 6 6 6 6 6 5 4 5 5 5 6 6 6 6 6 7 5 4 3 3 4 5 4 4 5 7 5 2 -0 0 2 3 5 4 3 4 5 4 2 0 2 4 3 1 -1 -1 1 3 5 7 7 7 8 11 16 21 24 23 17 10 6 5 5 5 4 4 4 3 3 4 4 5 5 5 4 3 3 3 3 3 2 1 1 1 2 3 3 3 4 5 5 6 7 7 8 8 8 9 9 9 9 8 8 7 7 6 5 4 3 1 2 4 6 7 6 5 5 4 4 4 5 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 3 -2 -5 -1 4 4 1 0 2 3 3 3 4 4 4 3 3 3 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 5 5 5 5 5 4 4 4 4 5 6 6 6 6 6 5 5 6 6 6 5 6 6 5 5 5 5 5 5 4 4 4 5 5 5 5 4 4 4 4 4 3 3 4 4 5 6 7 7 8 8 8 7 7 7 8 9 10 10 9 7 6 6 7 7 7 8 9 12 17 19 17 14 9 6 3 2 3 4 5 6 7 9 9 8 7 7 7 7 6 6 6 7 8 9 10 10 10 9 8 7 7 6 5 4 3 3 2 2 2 3 4 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 4 4 3 3 2 2 2 2 1 1 2 2 4 5 6 7 8 8 8 7 5 4 4 4 5 nan
nan 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 4 5 5 6 7 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 6 5 5 5 5 6 6 6 5 5 5 6 6 5 5 5 5 5 5 5 5 6 5 5 5 4 4 4 4 4 5 6 7 6 5 4 5 5 5 4 4 4 4 5 9 12 14 14 11 8 5 5 5 6 6 6 6 7 7 7 7 7 8 7 6 5 4 3 3 3 3 3 3 3 3 3 3 3 3 2 2 1 -0 -1 -1 -0 1 1 1 1 1 1 1 2 2 3 3 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 4 4 5 5 6 6 6 8 10 11 11 12 10 8 6 5 4 5 5 5 5 5 5 5 5 4 4 5 6 6 6 6 6 6 5 5 5 4 5 6 7 7 5 5 5 4 4 3 4 4 4 5 5 6 6 5 5 4 2 1 1 2 3 4 3 3 6 9 9 5 -0 -1 1 3 3 4 3 2 3 5 7 7 7 8 14 20 26 28 27 22 15 9 6 5 5 5 4 4 4 3 3 3 4 5 5 5 4 4 3 3 3 3 2 2 1 2 2 2 3 3 4 5 5 6 7 7 8 9 9 9 9 9 9 8 8 7 7 7 7 5 4 3 3 4 5 5 4 5 5 4 4 4 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 5 2 -1 -1 5 8 7 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 5 5 6 6 6 5 5 5 5 5 5 5 6 6 5 5 6 6 6 5 4 4 4 4 4 4 3 3 3 2 1 -0 -2 -3 -3 -2 -0 1 2 4 6 7 8 8 9 10 11 12 14 15 15 14 14 15 15 15 15 16 19 21 22 19 13 7 3 2 3 4 4 4 5 6 6 7 6 5 4 4 4 5 5 6 7 8 9 10 10 10 8 7 6 6 6 5 5 4 4 4 3 3 3 4 4 5 6 6 6 6 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 4 4 3 3 3 2 2 2 2 2 3 3 4 6 7 7 7 7 6 5 4 4 4 4 6 nan
nan 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 4 4 4 5 5 5 5 5 4 4 5 6 6 5 5 5 6 6 6 5 5 7 8 7 6 6 5 5 5 5 5 6 6 5 4 4 4 4 4 4 5 6 6 6 6 5 5 6 6 5 5 4 4 4 5 7 10 12 14 14 12 9 6 4 4 4 5 6 6 6 6 6 7 9 10 9 7 6 4 4 3 3 3 3 3 3 3 3 2 2 2 1 1 -0 -1 -1 -1 -0 0 1 1 1 2 2 2 3 3 3 3 2 2 2 2 2 3 3 3 3 3 3 3 3 3 4 4 5 5 6 6 6 6 7 10 12 12 11 9 7 6 7 8 8 6 5 4 5 6 5 4 4 5 6 6 5 5 5 5 5 4 4 4 6 8 9 9 6 5 4 3 2 3 4 6 6 5 5 5 5 6 5 5 5 5 5 5 5 5 4 5 8 10 8 4 2 2 2 3 5 7 5 3 4 7 8 8 9 15 25 32 34 32 26 19 12 8 6 5 5 5 5 4 4 4 4 3 4 5 5 5 4 4 3 3 3 3 2 2 2 2 2 2 3 3 4 4 5 6 7 7 8 9 9 9 9 9 8 8 7 7 7 7 6 5 4 3 3 3 3 4 4 4 4 4 4 4 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 3 0 -1 2 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 4 4 5 5 4 4 4 4 5 5 5 5 5 5 5 4 5 5 5 6 6 5 5 4 4 4 4 4 5 5 5 6 6 6 6 6 5 5 4 4 4 3 2 1 0 -1 -2 -3 -4 -5 -7 -7 -7 -5 -2 1 3 5 6 7 8 9 10 11 11 12 14 16 18 22 24 25 25 25 24 24 21 16 11 6 3 1 2 3 4 5 4 5 7 6 4 3 2 2 3 4 4 4 5 7 8 8 8 8 7 5 4 3 4 4 4 4 4 4 4 4 4 4 4 4 5 6 7 7 7 7 6 5 4 5 5 5 4 4 4 5 5 5 5 5 5 4 3 3 3 3 3 3 3 3 3 4 5 6 6 6 6 5 5 4 4 4 4 5 7 nan
nan 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 6 6 5 5 5 5 4 5 6 6 6 6 5 5 5 5 5 4 4 4 4 5 5 4 4 4 4 5 5 6 5 5 5 6 6 6 5 5 7 8 8 7 6 5 5 5 6 6 6 6 5 4 4 4 4 4 5 6 6 6 5 5 5 5 6 6 5 5 5 4 4 5 6 9 10 12 14 15 13 10 7 5 5 5 5 5 5 5 5 6 8 10 11 10 8 6 5 4 3 3 3 3 3 2 2 2 2 2 1 0 -0 -1 -1 -1 -1 -0 1 1 1 2 2 3 3 3 3 3 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 5 5 6 6 6 6 7 10 13 12 10 9 9 9 10 10 9 6 4 4 4 5 5 5 5 5 6 6 5 4 4 4 4 4 4 4 5 6 8 9 8 5 3 2 3 5 6 7 7 6 4 4 3 4 5 8 10 11 10 9 8 6 5 7 9 7 4 3 4 4 3 4 6 7 6 5 6 7 8 9 14 25 34 38 35 29 21 14 10 7 6 5 5 5 5 4 4 4 4 4 4 4 5 5 4 4 4 3 3 3 2 2 2 2 3 3 3 3 4 4 5 6 6 7 8 8 8 9 8 8 7 7 7 6 6 6 6 5 4 3 3 3 4 4 4 4 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 3 -2 -2 0 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 4 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 5 4 4 4 4 4 4 4 4 5 5 5 6 6 6 5 5 5 4 3 2 1 -0 -2 -4 -6 -6 -4 -2 -3 -4 -4 -3 -1 3 4 4 5 6 7 8 8 9 9 10 11 12 16 21 25 27 27 25 22 17 12 8 5 3 2 1 2 4 4 4 2 2 3 2 0 -1 0 2 4 5 5 5 6 7 7 7 6 5 4 3 3 4 4 4 4 4 4 4 4 5 6 7 7 6 5 5 6 7 8 8 7 6 4 4 5 6 5 5 4 4 4 5 5 5 5 4 3 3 3 3 3 3 3 3 4 4 5 5 5 5 5 4 4 4 4 4 5 6 7 nan
nan 5 5 5 5 5 5 5 4 5 5 4 4 4 4 4 3 3 3 3 3 4 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 6 6 5 5 4 4 5 5 5 6 6 5 5 5 5 5 4 4 4 5 5 5 5 4 4 4 4 5 5 5 5 5 5 6 6 6 6 5 6 7 8 8 7 5 5 5 6 7 6 6 5 5 4 4 4 5 5 6 6 6 5 4 4 5 5 5 5 5 5 5 5 5 7 8 9 9 11 13 13 12 11 8 6 5 5 4 4 3 3 4 5 8 10 11 10 8 7 5 4 3 3 3 3 3 2 2 2 1 1 0 0 -0 -1 -1 -1 -0 1 1 2 2 3 3 3 3 3 2 2 2 2 2 2 3 3 3 3 3 3 2 2 3 3 4 4 5 6 6 6 6 7 9 12 12 10 9 10 11 11 9 7 5 5 4 4 4 4 5 6 6 7 7 6 4 4 3 3 3 4 4 2 2 4 7 7 4 1 0 3 6 8 8 8 8 6 4 3 2 4 8 12 13 11 9 8 7 7 8 9 5 2 3 4 3 4 5 6 6 7 7 7 7 8 11 20 30 35 33 28 21 15 11 8 6 6 5 5 5 5 4 4 4 4 4 4 4 5 5 4 4 4 3 3 3 2 3 3 3 3 3 3 3 3 4 5 5 6 7 7 7 8 8 8 7 7 6 6 6 5 5 5 5 4 4 4 5 6 5 5 4 5 5 6 5 5 5 5 5 5 5 6 5 5 5 5 5 5 6 6 6 5 5 6 5 3 0 0 2 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 4 4 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 3 3 4 4 4 4 5 5 5 5 4 3 2 1 0 -1 -3 -5 -4 -1 2 3 2 2 3 3 4 5 5 6 6 7 6 6 7 9 10 11 10 10 12 16 18 17 15 12 8 6 5 3 2 1 1 3 4 4 3 0 -3 -5 -6 -6 -5 -1 3 5 5 5 5 6 5 5 5 4 4 3 3 3 4 5 4 4 4 5 5 5 8 10 12 11 8 5 3 3 4 6 8 8 7 5 4 4 5 6 6 5 4 4 5 5 5 5 4 3 3 3 3 4 3 4 4 4 4 5 5 5 5 5 4 4 4 4 4 5 6 7 nan
nan 6 5 5 5 5 5 4 4 5 5 4 4 4 4 3 3 3 3 3 4 4 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 5 5 5 5 4 4 4 5 5 5 6 5 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 5 5 5 5 5 5 6 6 7 6 6 6 6 7 7 6 5 5 5 6 7 7 6 6 5 5 5 5 5 5 6 5 5 5 4 4 5 5 4 4 4 5 5 5 6 6 8 8 8 8 10 11 12 12 10 8 6 4 4 3 3 2 2 3 5 7 9 10 9 8 7 5 5 4 3 3 3 2 2 1 1 1 1 1 0 -0 -1 -1 -0 1 1 2 2 3 3 3 3 2 2 2 2 2 2 2 3 3 3 3 3 2 2 2 2 3 3 4 5 6 6 7 7 6 8 11 13 12 8 7 7 8 7 6 6 5 5 4 3 2 3 5 6 7 7 7 6 5 4 3 4 6 5 2 0 1 4 6 4 1 -0 2 5 8 9 10 11 10 7 4 3 3 6 10 11 9 7 6 6 6 7 6 4 3 4 4 3 5 6 6 5 6 7 7 7 9 15 24 29 27 23 19 15 11 8 7 6 6 5 5 5 4 4 4 4 4 4 4 4 5 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 5 5 6 6 7 7 7 7 7 7 7 6 6 5 5 5 5 5 5 5 6 8 9 8 6 6 5 5 5 5 5 5 6 6 5 5 6 6 6 5 5 5 5 6 7 7 6 6 6 7 7 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 2 2 2 3 4 4 4 4 4 4 5 5 6 6 6 5 5 5 5 5 5 5 5 5 4 4 4 4 4 3 3 3 2 2 2 3 4 4 5 5 4 3 2 1 2 2 1 0 1 3 5 5 5 5 5 5 5 6 6 7 7 5 5 5 7 10 14 16 14 11 8 8 8 8 7 7 6 5 4 3 2 2 4 5 5 5 4 3 1 -3 -6 -6 -5 -2 1 4 4 5 5 5 5 4 4 4 4 3 3 3 4 4 4 4 5 6 7 9 11 15 18 17 13 7 2 0 0 3 6 7 8 6 4 3 4 6 6 5 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 7 nan
nan 6 6 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 3 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 5 5 5 5 5 4 4 4 4 3 3 3 4 5 5 5 5 5 4 4 4 5 5 5 5 6 6 5 6 6 6 6 6 6 6 6 5 4 4 4 5 6 6 6 5 5 5 5 6 6 6 5 5 5 4 3 4 5 4 4 4 4 4 4 5 5 5 6 7 8 8 8 9 10 11 11 9 7 6 4 4 3 3 2 2 3 5 8 9 9 8 7 6 5 5 4 4 3 3 2 1 1 1 1 1 1 1 0 -0 0 1 1 2 2 3 3 3 3 2 2 2 2 2 2 3 3 3 3 3 3 2 2 1 2 2 3 3 5 6 6 7 7 7 7 9 12 12 8 4 3 5 5 6 6 5 4 4 2 1 1 3 5 5 6 7 7 6 5 4 6 7 6 4 2 2 4 6 6 3 2 3 6 7 8 8 11 11 8 5 4 4 6 7 7 7 7 7 6 5 5 4 4 4 5 5 5 5 6 6 5 5 5 5 7 13 20 24 23 19 15 13 10 8 7 6 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 5 5 6 6 7 7 7 7 7 7 7 6 6 5 5 5 5 6 7 8 10 10 10 9 8 7 7 6 7 7 6 6 6 6 5 6 6 6 6 6 5 5 6 7 7 6 7 7 8 9 8 7 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 2 1 1 1 2 2 2 2 3 4 5 5 5 6 5 5 5 5 6 6 5 5 5 5 5 5 5 4 4 3 3 3 2 1 1 1 2 3 3 3 3 3 3 3 2 2 3 4 4 4 5 5 5 5 5 5 5 5 6 6 6 5 6 8 10 12 16 18 19 16 11 8 6 6 6 6 6 5 4 3 4 6 7 7 6 6 7 9 10 9 7 5 2 0 1 3 4 4 5 5 5 5 5 5 4 4 4 3 3 3 4 4 5 6 8 11 14 17 19 19 16 10 4 0 -1 -0 2 4 6 6 5 4 4 4 5 5 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 7 8 nan
nan 6 6 5 5 5 5 5 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 4 5 6 7 7 7 6 5 4 4 4 5 6 6 6 5 5 5 5 5 6 6 5 5 4 3 4 4 5 4 4 4 4 4 4 4 5 5 6 7 8 8 7 8 9 10 10 9 9 7 6 5 4 3 3 3 3 4 6 7 8 7 7 6 6 5 5 5 4 3 3 2 2 2 2 3 3 2 1 1 1 1 1 2 2 3 3 3 3 3 2 2 2 2 3 3 3 3 3 3 3 2 1 1 1 1 2 3 4 5 6 6 6 7 8 9 11 11 7 4 3 5 6 6 4 3 3 4 3 1 1 3 4 4 4 6 7 6 4 5 7 9 8 5 4 3 4 5 6 6 5 5 7 7 6 5 7 8 7 5 4 5 6 6 5 5 7 8 7 5 4 3 3 4 6 6 6 7 7 6 5 4 3 3 7 15 21 21 16 13 11 9 8 7 6 6 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 5 6 6 7 7 7 7 7 8 7 7 6 6 6 5 5 6 7 8 9 9 10 11 12 11 11 11 10 10 9 9 8 7 6 5 5 6 6 6 6 5 6 7 7 7 8 9 9 10 12 10 6 4 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 4 4 4 4 3 3 2 2 1 -1 -3 -4 -3 -1 2 4 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 2 2 1 0 -0 -1 -0 0 1 1 2 3 3 2 2 3 5 5 4 4 4 4 3 3 4 5 5 5 5 7 10 14 16 16 16 14 14 14 14 11 8 6 6 6 5 4 4 4 5 7 8 8 7 6 7 8 11 13 14 15 14 10 6 4 4 4 4 5 6 6 7 7 6 5 4 4 4 4 3 3 4 5 6 7 9 11 13 14 15 14 10 5 2 -1 -1 -1 1 4 5 5 5 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 8 9 nan
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nan 12 12 12 12 12 12 12 12 12 12 12 11 11 10 8 7 7 8 10 13 14 15 15 15 14 15 17 18 18 18 16 13 11 10 8 6 5 5 6 7 8 11 12 13 13 13 13 14 15 17 19 21 23 23 22 19 16 14 13 13 14 14 14 13 12 10 9 8 9 10 11 12 13 14 15 16 15 15 15 14 13 12 12 12 13 14 15 17 19 21 24 26 27 27 25 22 18 15 13 12 12 11 12 12 12 12 12 13 13 12 12 12 12 11 11 11 10 10 10 11 11 12 12 13 13 13 13 12 12 11 12 13 14 15 15 15 15 14 14 13 12 12 12 12 12 13 15 17 18 20 21 20 19 18 17 16 15 14 15 15 14 14 14 14 13 13 14 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 14 15 15 13 11 9 7 7 8 9 10 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 12 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 12 12 13 14 14 14 13 11 11 10 9 9 9 10 12 13 14 13 12 11 11 11 11 11 11 11 11 11 10 10 9 9 9 10 10 11 11 11 12 12 12 12 11 11 10 10 10 10 10 9 8 8 8 8 7 7 7 6 6 7 8 9 10 10 10 10 10 9 9 8 9 8 8 7 5 3 1 -0 -0 1 5 8 10 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 12 13 13 13 13 13 13 14 14 14 14 14 14 14 15 15 15 15 15 16 16 16 16 16 16 16 16 15 15 14 13 11 11 11 11 11 11 10 10 9 9 9 10 10 11 12 12 13 13 13 14 14 15 15 16 17 17 16 15 13 12 11 11 12 12 13 13 13 12 12 12 12 12 12 13 15 16 17 17 16 16 15 15 14 13 13 13 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 13 13 12 12 12 11 11 11 11 12 12 12 11 10 10 10 9 9 9 10 9 9 10 10 11 12 13 13 14 14 14 14 14 15 15 15 14 14 14 13 12 12 11 12 13 14 14 14 13 13 12 13 13 13 nan
nan 10 10 10 10 10 9 10 10 11 12 12 12 12 10 8 7 6 6 8 10 13 15 16 17 17 17 17 17 17 15 12 10 8 7 6 5 5 5 6 7 7 9 10 11 12 13 13 15 16 17 18 19 20 19 17 16 13 12 12 13 15 16 17 16 15 13 11 10 9 9 10 11 11 12 12 12 12 12 12 12 13 12 12 12 13 13 14 15 16 17 20 22 24 25 24 22 20 17 15 14 12 11 11 11 11 11 11 12 12 12 12 11 11 10 10 9 9 9 10 11 11 12 13 15 16 16 16 16 16 15 14 14 14 14 15 15 14 14 13 13 13 13 13 14 15 16 17 18 20 20 20 20 18 17 16 15 15 15 15 14 14 14 13 13 13 13 13 13 13 13 13 12 12 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 15 16 16 15 13 11 7 5 6 6 8 9 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 10 10 10 10 11 12 12 12 12 11 10 10 9 9 10 10 12 14 16 17 18 16 14 12 11 10 10 10 11 12 12 12 11 11 10 9 8 9 10 10 11 11 11 12 12 13 13 13 13 12 12 12 11 10 10 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 6 4 2 1 0 0 2 4 6 8 10 11 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 14 14 14 14 14 14 14 15 15 15 15 15 16 16 16 16 16 16 16 15 14 14 13 13 13 12 12 11 10 9 9 9 10 11 12 12 12 13 13 14 14 14 14 15 15 16 18 18 18 17 14 13 12 12 13 13 13 13 13 13 13 12 12 12 12 13 14 14 15 15 14 14 14 14 14 13 13 12 12 12 12 12 11 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 13 13 13 13 12 12 11 11 11 12 12 12 12 12 12 12 12 12 12 11 10 10 10 11 12 14 16 17 18 17 17 16 15 15 15 15 14 14 14 14 14 14 14 14 15 15 15 15 14 14 13 13 13 13 13 nan
nan 7 7 7 7 7 8 8 10 11 12 12 12 12 10 8 7 6 6 7 10 14 16 19 20 20 19 18 16 15 13 9 7 6 5 6 6 6 6 6 7 8 9 10 11 12 14 15 16 16 16 15 14 13 12 11 11 10 10 12 14 15 17 18 17 16 14 13 11 9 8 7 7 8 8 9 8 8 8 9 10 11 12 13 13 13 14 14 15 15 16 18 20 21 22 22 20 18 17 15 13 11 10 10 9 9 10 11 12 13 13 13 13 11 10 10 9 9 10 11 11 12 14 15 17 18 19 19 19 18 17 16 15 15 15 14 14 14 13 13 13 13 13 14 15 16 17 18 19 20 20 20 19 18 17 16 15 15 14 14 14 14 13 13 13 13 13 13 14 14 13 13 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 13 14 15 16 17 17 15 12 8 6 5 5 7 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 11 11 11 11 11 10 9 9 9 10 11 12 13 13 12 11 10 9 8 9 9 11 13 14 15 16 16 14 13 13 12 12 11 12 12 13 13 12 12 11 10 9 9 9 10 10 10 9 9 10 11 12 12 12 12 11 11 11 11 11 11 10 10 9 9 9 9 9 10 10 10 10 10 10 9 9 8 8 8 7 6 5 3 1 1 2 3 5 7 9 10 11 11 11 11 11 11 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 14 14 14 14 14 15 15 15 15 15 16 16 16 16 16 16 16 15 15 15 15 14 14 13 13 12 12 12 13 13 14 14 13 14 14 14 14 14 14 15 15 16 17 18 19 19 17 15 13 12 12 12 13 13 13 13 13 13 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 12 12 11 12 12 12 12 13 13 14 15 15 15 15 14 13 12 12 14 16 18 20 20 19 18 17 16 15 15 14 14 14 14 14 14 14 15 15 15 16 16 16 15 15 15 14 14 13 14 14 nan
nan 5 4 3 4 5 7 9 11 12 12 12 12 12 11 11 10 10 10 10 14 16 18 20 21 21 19 17 15 12 10 7 6 6 6 6 6 6 5 5 5 7 8 10 12 13 15 16 15 15 13 11 9 8 8 8 9 10 12 14 15 16 17 17 17 16 15 14 12 10 8 7 5 5 5 5 6 6 7 9 10 11 12 13 14 14 14 15 15 16 17 19 19 20 20 19 17 15 14 13 11 10 9 8 8 9 10 12 14 15 16 16 15 14 13 12 11 11 11 12 12 13 14 15 16 17 18 18 18 18 17 16 15 15 14 14 14 14 14 13 13 14 14 15 15 16 17 17 18 19 19 18 18 17 16 16 15 15 14 14 13 13 13 13 13 13 13 14 14 14 14 13 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 13 14 15 17 18 17 14 11 8 6 6 7 9 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 10 10 10 10 11 11 11 11 10 9 9 10 10 11 11 12 12 13 12 11 11 10 10 11 11 12 12 13 13 13 13 13 13 13 14 14 15 15 14 13 12 11 11 10 10 10 11 11 10 10 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 10 10 9 9 10 10 10 10 10 10 9 8 8 7 6 5 5 4 3 2 2 2 4 6 8 10 11 11 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 14 14 14 14 14 15 15 15 15 15 15 16 16 16 16 15 15 15 15 15 14 14 15 15 15 15 15 15 14 14 14 14 14 14 15 15 15 15 16 17 18 19 19 17 15 13 12 12 12 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 13 13 13 12 12 11 11 11 12 13 15 17 18 18 17 16 15 14 14 14 14 14 14 14 14 14 14 14 14 14 14 15 15 15 15 15 15 15 14 14 15 15 nan
nan 4 2 1 3 6 9 12 14 13 12 11 11 11 10 11 11 12 12 13 15 17 18 19 20 19 17 14 12 10 8 8 8 8 8 8 7 6 4 3 3 4 7 9 12 14 15 15 14 13 11 10 8 8 9 10 11 14 16 17 18 18 18 17 17 16 15 14 13 12 10 8 7 5 5 5 6 7 8 9 10 11 12 13 14 14 14 15 15 17 20 21 21 21 19 17 15 13 12 11 9 8 8 7 8 8 10 12 14 16 17 18 18 17 16 14 13 13 12 12 12 12 13 14 14 14 14 15 15 15 15 15 14 14 14 14 14 14 14 14 15 15 16 16 16 16 16 16 15 15 15 15 15 15 15 14 14 14 13 13 13 12 12 12 13 13 13 13 14 14 14 13 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 13 16 17 17 15 12 7 5 6 7 9 10 11 11 11 11 11 11 11 11 11 12 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 9 9 9 10 11 11 12 11 11 11 11 11 11 10 10 9 9 10 11 12 12 13 13 13 13 13 12 12 11 11 11 10 10 11 12 14 15 16 15 13 12 11 11 11 11 11 12 12 12 12 11 10 9 9 8 8 7 7 8 9 10 11 11 10 10 10 10 9 9 10 10 10 9 8 7 6 5 4 3 2 2 2 3 3 3 3 5 7 9 10 11 12 12 12 12 12 12 11 11 11 11 11 12 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 14 14 14 14 14 15 15 15 15 15 15 15 15 16 15 15 15 15 15 15 15 15 15 15 15 15 15 14 14 14 14 14 15 15 15 15 15 16 17 18 19 18 16 15 13 12 12 12 13 13 14 14 14 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 12 12 12 13 13 13 13 12 12 11 10 9 7 7 8 8 10 11 13 14 14 13 12 12 11 12 13 14 14 14 14 14 14 14 14 14 14 14 13 13 13 13 14 14 15 15 15 15 15 15 15 nan
nan 4 3 4 7 10 13 16 16 14 11 9 8 7 7 8 9 10 11 14 16 17 18 18 18 16 15 12 10 8 6 7 8 9 10 10 10 8 6 5 3 3 6 8 10 13 14 14 13 12 11 11 11 11 12 13 15 17 19 21 21 21 21 19 18 17 15 15 14 13 12 11 9 8 7 7 7 7 8 9 10 11 12 13 14 14 14 14 15 18 22 23 24 23 20 17 14 12 11 10 9 8 8 8 8 8 10 11 13 15 17 18 18 18 17 16 14 13 12 12 11 11 11 12 11 11 11 11 12 12 12 12 12 13 13 13 13 13 14 14 15 16 17 17 17 17 15 14 13 12 11 11 12 12 13 13 13 13 12 12 12 12 12 12 13 13 13 13 13 13 13 13 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 12 14 16 16 15 12 8 4 4 4 7 9 10 11 11 11 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 10 11 11 12 12 12 11 9 8 9 10 11 12 12 11 11 12 13 13 12 11 10 9 9 9 10 11 12 13 14 14 14 13 13 12 10 9 8 6 6 7 9 11 11 12 11 10 10 11 11 12 12 12 12 12 12 12 12 11 10 8 6 5 5 6 6 8 8 8 8 8 8 8 8 8 8 8 8 7 6 5 3 2 2 2 2 3 4 5 6 7 8 8 10 11 12 12 12 12 12 12 12 12 12 12 12 11 12 12 12 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 14 14 14 14 14 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 14 14 14 14 14 15 15 15 15 15 15 16 17 17 18 18 16 14 12 12 12 13 13 14 14 14 14 13 13 13 13 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 14 14 14 13 13 13 13 13 13 13 13 13 13 12 11 10 9 9 9 9 10 12 13 13 13 12 11 10 10 12 13 14 14 14 14 15 15 15 15 14 14 14 13 13 13 13 13 13 14 14 14 15 15 16 16 16 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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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26 29 38 54 51 53 60 65 61 48 39 33 29 34 39 39 28 23 22 19 14 13 12 11 11 12 11 10 10 9 7 5 5 4 2 3 3 4 2 2 2 3 3 2 3 6 6 6 7 7 7 7 8 8 7 6 6 6 6 6 6 6 6 6 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 4 5 5 5 5 5 5 4 4 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 2 2 2 2 2 2 3 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 2 4 6 6 6 6 6 6 6 5 5 6 6 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 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 1 12 98 316 553 583 399 274 283 262 231 203 182 186 198 183 150 115 86 69 64 62 60 60 59 61 56 53 50 54 74 99 113 111 105 102 102 102 104 137 193 166 134 106 89 70 54 45 44 44 40 37 33 28 23 19 19 21 24 27 34 43 54 65 70 69 69 68 71 88 99 104 101 100 111 133 154 171 190 210 213 206 213 224 272 216 228 191 156 132 114 100 90 78 59 37 23 17 13 6 1 0 0 0 0 0 0 0 0 0 0 0 1 8 20 31 44 61 82 93 89 87 88 80 65 55 46 43 39 36 32 24 14 9 4 1 3 6 6 4 3 2 0 0 0 0 0 0 0 1 13 41 76 95 95 91 95 85 83 85 84 83 77 72 68 73 93 122 157 179 202 218 228 251 303 396 546 820 1122 1185 975 809 743 744 705 558 441 383 335 290 252 216 185 167 164 182 211 251 314 357 398 363 351 342 318 295 278 267 256 242 225 213 201 185 174 165 155 150 150 157 162 164 169 176 170 151 139 132 132 140 147 140 130 123 132 138 160 182 208 212 234 265 289 312 336 354 370 392 411 416 446 525 589 671 766 868 963 1079 1179 1200 1242 1206 1195 1185 1130 1018 887 802 728 716 792 886 871 857 907 985 1027 1032 1070 1069 985 878 697 607 608 678 712 693 662
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44 33 33 32 28 27 29 30 30 28 24 24 26 28 30 31 27 26 24 19 18 15 14 12 11 11 11 11 11 10 9 7 7 5 4 3 4 4 3 2 3 4 3 1 2 4 5 6 7 5 3 4 5 5 6 6 6 6 6 6 6 6 7 7 6 5 5 5 5 5 5 4 4 4 4 4 5 5 4 4 5 5 5 5 4 4 4 5 4 3 3 3 3 4 4 4 4 4 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 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 2 5 7 7 6 6 6 5 4 2 2 2 3 4 3 2 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 49 134 326 482 428 274 245 284 257 236 232 240 238 208 175 151 126 98 77 66 59 56 56 54 52 51 48 48 52 81 113 121 108 99 101 98 85 57 102 234 398 348 231 150 106 81 69 65 64 60 54 51 46 38 24 17 15 14 16 26 36 43 50 54 54 55 54 56 63 77 87 90 89 89 101 127 155 173 174 158 152 162 173 190 218 255 217 174 144 125 113 101 85 68 50 31 21 17 8 2 0 0 0 0 0 0 0 0 0 0 0 0 4 15 26 38 57 81 102 104 90 73 59 50 42 34 27 24 23 17 11 6 4 3 5 7 6 4 1 0 0 0 0 0 0 0 0 0 0 1 10 43 70 81 83 85 80 80 78 71 65 67 74 80 94 115 134 141 158 184 204 229 270 318 343 360 393 431 468 474 459 502 503 496 461 433 412 372 320 269 213 173 146 120 101 95 92 97 118 157 192 210 225 199 193 187 184 169 154 149 143 138 131 114 97 80 81 75 76 80 89 96 102 111 111 101 98 98 97 96 105 97 91 89 95 107 124 138 141 149 156 193 206 225 240 253 272 287 304 337 375 396 419 466 429 477 555 645 694 741 824 907 1013 1168 1104 1019 967 923 858 766 727 793 827 798 874 931 939 937 955 992 909 821 747 652 674 918 1101 1173
51 34 29 25 21 19 19 20 22 22 20 20 22 24 26 27 27 24 22 21 21 22 17 18 19 13 12 11 10 9 9 8 8 7 6 5 4 5 5 5 5 3 3 2 2 3 3 5 6 4 3 3 4 6 6 6 6 6 6 6 6 6 7 7 7 6 5 5 5 5 5 4 4 4 4 4 5 5 4 4 5 4 4 5 5 4 4 4 4 4 3 3 3 3 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 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 1 3 6 7 7 6 6 5 3 2 2 2 3 3 2 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 25 84 149 302 435 396 272 225 228 218 209 217 232 226 189 153 131 116 100 82 69 61 58 57 54 52 51 46 43 41 70 108 118 107 102 108 110 98 81 108 219 493 581 411 210 122 96 83 77 72 66 60 56 53 48 31 21 14 11 12 17 26 34 41 44 46 47 47 49 51 62 74 82 85 88 99 123 148 159 149 138 149 169 168 188 201 256 231 179 147 131 122 110 91 76 59 37 25 17 9 2 0 0 0 0 0 0 0 0 0 0 0 0 3 13 23 32 47 65 83 89 78 61 49 42 34 29 22 19 19 16 11 5 2 2 2 0 1 1 0 0 0 0 0 0 0 0 0 0 0 1 8 31 62 77 80 85 84 84 83 77 69 67 69 67 73 107 125 137 150 166 174 196 239 270 283 282 275 271 272 320 308 326 332 318 308 311 312 297 278 256 222 185 154 134 117 98 80 69 68 80 98 126 168 162 154 152 148 137 122 114 111 109 101 89 76 59 65 61 61 64 69 70 73 84 89 88 91 98 99 104 110 110 104 97 98 113 134 137 116 130 124 152 177 195 199 207 229 249 261 282 317 322 354 375 376 407 444 492 531 566 626 674 755 1010 1091 1086 981 923 898 854 840 850 865 822 924 965 943 909 901 922 909 890 900 914 972 1073 1233 1380
33 31 23 19 15 14 14 15 16 15 16 18 20 24 26 27 26 23 20 21 21 21 19 18 15 11 13 12 10 9 9 8 9 8 8 8 5 4 4 6 5 3 4 3 2 4 3 5 6 6 5 4 5 5 6 6 6 6 6 6 7 7 7 7 7 6 5 5 5 5 5 4 4 4 4 4 4 5 4 4 5 4 5 4 5 4 4 4 4 4 3 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 2 2 2 2 2 2 1 1 1 1 1 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 6 6 6 6 5 3 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 1 2 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 36 87 134 243 340 331 262 210 185 187 188 199 216 212 189 157 123 116 118 104 81 68 63 61 56 59 64 46 43 45 67 100 120 118 111 117 123 114 101 98 163 404 645 578 307 152 111 99 94 85 75 66 60 56 52 39 25 14 8 6 9 15 23 29 35 41 42 41 42 39 46 58 69 77 84 98 122 150 170 171 165 196 214 172 170 187 233 228 192 162 144 131 119 101 82 68 44 31 22 11 3 0 0 0 0 0 0 0 0 0 0 0 0 5 13 19 24 33 46 63 72 63 50 41 36 26 25 21 18 16 15 12 8 3 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 29 57 78 85 88 90 89 86 80 75 72 71 74 72 79 95 111 121 130 132 139 163 193 212 213 189 162 141 195 218 215 207 206 203 203 217 215 209 202 184 161 139 124 113 96 78 66 61 58 61 73 92 109 128 125 116 108 97 85 80 76 68 66 65 62 61 55 53 52 55 58 62 69 75 78 80 89 101 110 104 95 98 103 103 116 148 152 107 114 111 123 148 173 180 181 196 219 243 238 278 288 300 308 327 358 384 400 417 448 502 506 585 765 966 1053 973 924 933 876 766 709 840 891 976 963 950 945 923 926 983 1064 1151 1161 1176 1165 1266 1381
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30 32 33 33 34 29 23 17 13 13 12 12 16 19 20 21 22 22 21 19 18 16 15 16 15 13 14 16 14 16 17 15 15 14 12 10 7 5 5 7 9 3 5 8 4 3 7 7 5 6 5 5 4 4 5 6 6 6 6 6 6 7 7 7 7 6 6 5 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 5 4 5 4 4 5 4 4 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 3 2 2 2 1 1 2 2 2 2 2 2 2 2 2 2 1 1 1 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 2 4 6 6 7 5 4 3 3 3 2 1 1 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 1 4 5 7 8 8 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 6 25 62 102 148 197 233 229 185 177 167 167 188 195 188 177 188 195 191 184 162 117 84 69 58 65 67 49 40 39 51 72 93 116 139 156 157 138 117 116 88 78 138 304 429 424 349 278 213 147 116 98 84 70 58 57 48 28 13 4 0 0 1 3 10 15 18 25 35 43 44 39 39 46 60 80 108 140 178 276 380 372 289 278 279 261 276 268 225 206 199 177 144 132 119 100 81 61 39 24 14 6 0 0 0 0 0 0 0 0 0 0 1 4 6 4 2 4 8 12 16 18 18 18 19 20 20 19 16 11 10 9 7 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 25 53 85 107 107 110 104 99 95 92 87 82 74 69 65 56 48 43 40 35 31 38 53 68 73 73 67 48 40 61 59 55 54 54 57 57 56 55 54 53 52 52 49 47 48 42 42 43 44 46 50 56 61 64 67 70 71 66 63 61 58 56 58 59 57 54 51 51 48 45 44 46 48 49 45 39 37 41 44 43 46 53 51 59 76 92 117 136 123 98 91 80 74 81 101 120 124 129 134 139 152 158 171 187 205 193 196 216 251 270 273 296 319 351 392 480 654 860 971 1028 1003 910 840 776 746 702 693 710 705 683 676 699 711 684 663 580 617
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