Vorticity
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nan 4 4 4 4 5 5 5 5 6 6 6 6 6 6 6 6 5 5 5 4 4 3 3 3 3 3 4 4 4 4 4 4 4 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 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 4 4 4 4 4 4 4 4 4 4 5 5 4 4 5 4 4 4 5 4 4 4 4 5 5 6 7 7 6 5 3 3 4 5 6 7 7 7 7 7 8 8 8 8 8 8 7 7 7 6 6 5 5 4 4 4 3 4 4 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 7 15 24 28 25 18 12 6 2 0 0 4 9 11 8 4 2 3 7 8 3 1 4 5 5 6 7 7 6 5 5 4 3 3 3 3 3 3 2 3 3 3 3 3 3 2 1 -0 -1 -1 -0 0 1 1 2 1 1 2 3 5 7 10 13 14 10 7 11 17 18 14 10 7 6 6 6 6 8 9 12 18 25 29 24 14 7 4 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 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 3 3 2 2 1 1 1 2 2 3 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 3 3 2 2 2 2 2 4 6 7 6 6 5 5 4 4 4 4 5 5 5 4 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 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 3 3 3 3 3 3 4 5 6 7 9 11 12 12 13 14 14 14 13 11 7 4 4 5 6 7 8 9 8 6 5 7 12 13 6 -2 -6 -6 -3 -2 -4 -7 -3 4 6 7 7 7 6 6 5 5 4 4 3 3 3 2 3 4 5 7 10 12 14 14 12 9 7 7 7 6 5 5 4 4 4 4 4 5 6 8 9 9 8 7 6 4 3 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 nan
nan 4 4 4 4 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 4 4 4 3 4 4 3 4 4 4 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 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 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 5 5 5 5 4 5 5 5 6 6 5 4 3 3 4 5 5 5 6 6 7 7 7 7 7 7 7 7 7 8 8 7 7 6 6 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 7 16 26 29 26 20 14 8 2 -0 0 5 8 8 6 4 5 8 11 9 2 1 4 5 4 3 4 5 6 6 5 4 3 4 4 4 3 3 3 2 2 2 2 2 3 2 1 -0 -0 0 1 1 2 3 3 3 2 3 4 6 8 11 14 12 9 9 15 19 17 13 10 8 7 7 8 10 12 15 19 23 25 23 15 8 5 4 4 3 3 3 3 3 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 3 3 3 4 4 4 4 4 4 3 3 2 2 1 1 1 2 3 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 2 2 1 -0 -0 2 5 6 6 6 5 5 4 4 4 4 4 5 5 4 3 3 3 3 3 3 3 2 2 2 2 3 3 3 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 4 4 4 4 4 4 4 4 4 5 4 4 4 3 3 3 3 3 3 3 3 3 3 4 6 7 8 9 10 10 10 11 12 13 12 10 8 7 7 8 8 7 6 5 4 4 6 10 11 7 3 1 1 1 3 2 -1 1 4 6 6 7 7 7 6 5 4 3 2 1 1 2 2 3 4 6 7 9 11 12 13 11 9 7 6 5 5 5 4 3 3 3 4 4 4 6 7 9 9 7 6 5 4 3 3 4 4 4 4 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 nan
nan 4 4 4 4 5 5 5 6 6 6 6 6 6 7 7 7 6 5 5 5 4 4 4 4 4 4 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 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 5 5 5 5 5 5 5 5 4 5 5 5 4 5 5 5 5 5 5 4 3 3 4 4 4 4 5 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 7 13 20 23 24 21 15 10 5 3 4 8 9 7 5 3 5 10 11 6 1 1 4 6 5 3 3 4 5 5 4 4 4 4 5 4 4 4 3 3 2 1 1 1 1 1 0 0 1 2 2 2 3 4 4 4 4 4 5 7 10 13 14 13 12 15 18 18 14 11 9 8 8 9 10 13 16 20 23 24 22 16 9 5 4 4 4 3 3 3 3 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 3 3 3 4 4 4 4 4 4 4 3 3 2 1 1 1 1 2 4 6 6 6 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 3 2 2 2 1 1 2 4 6 7 6 5 4 4 4 4 4 4 5 5 4 3 3 3 3 3 3 3 2 2 2 2 2 2 3 3 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 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 2 2 2 3 5 6 8 9 10 9 7 6 6 8 9 9 8 7 7 8 9 9 5 3 3 4 6 7 7 6 5 4 4 4 6 7 6 6 7 7 6 6 7 7 6 5 4 3 2 1 1 1 2 3 4 6 7 8 10 11 11 10 9 7 6 5 4 4 3 3 3 3 4 4 4 5 7 8 8 7 5 4 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 3 3 3 3 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 nan
nan 4 4 4 4 5 5 5 6 6 6 6 6 7 7 8 7 7 6 5 5 4 4 5 5 5 4 4 4 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 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 4 4 4 4 4 4 4 4 4 4 5 5 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 5 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 5 5 5 4 4 4 4 4 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 9 12 14 15 14 11 9 7 7 8 9 9 7 4 3 5 7 6 4 2 3 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 3 2 1 1 1 1 1 1 1 2 3 3 4 4 5 6 6 6 6 7 9 11 12 13 13 16 18 18 15 12 9 9 8 9 10 11 15 19 23 25 23 17 10 5 4 4 4 3 3 3 3 3 4 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 3 3 4 4 4 4 4 4 4 4 4 3 3 2 1 1 0 -1 0 4 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 6 6 5 5 5 5 4 4 3 3 2 3 4 6 8 8 7 6 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 2 2 2 2 2 2 2 3 3 4 4 4 4 4 4 4 5 4 4 4 4 4 5 5 6 5 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 2 2 2 4 6 7 8 8 5 3 3 5 5 5 5 6 6 7 9 11 9 6 5 6 7 8 8 8 7 7 7 7 8 9 9 9 8 7 6 6 6 6 7 6 5 4 3 2 1 2 2 3 4 5 7 8 9 10 10 10 8 7 6 5 4 4 4 4 5 5 5 5 4 5 7 8 8 7 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 3 3 3 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 nan
nan 4 4 4 4 5 5 6 6 6 6 6 6 7 8 8 8 7 6 5 5 4 4 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 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 4 4 4 4 4 4 4 4 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 4 5 5 5 5 5 5 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 6 6 5 5 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 6 6 5 5 5 5 5 5 5 6 7 8 10 10 7 3 3 5 6 7 7 6 6 5 5 6 6 4 3 4 5 5 4 4 5 5 6 6 6 6 6 6 5 5 5 4 4 4 3 2 1 2 2 3 2 2 3 3 4 5 6 7 7 8 8 9 9 10 11 11 10 10 13 17 18 16 13 10 8 8 8 8 9 12 15 20 23 22 17 11 6 4 4 4 4 3 3 3 3 3 4 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 4 4 4 5 5 4 4 4 4 4 4 3 2 1 1 -0 -2 -2 1 4 4 4 5 5 5 6 6 6 5 5 5 5 5 5 5 6 6 5 5 5 5 5 4 4 3 2 3 6 10 11 10 7 6 5 4 3 4 4 4 4 4 5 5 4 4 3 3 3 3 3 2 2 2 2 2 2 2 2 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 5 4 4 3 3 4 4 3 3 3 4 4 4 4 4 4 3 3 3 3 4 4 5 5 5 4 3 3 3 4 4 4 2 0 1 3 5 6 6 4 2 2 4 5 4 4 5 5 6 8 11 12 11 10 10 10 11 12 12 12 11 11 10 10 10 10 9 9 8 7 6 5 5 6 6 6 5 3 2 2 2 2 3 4 5 6 7 9 10 10 10 8 6 6 5 5 5 5 6 7 6 6 5 4 5 6 7 8 7 6 5 4 4 4 5 5 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 4 4 nan
nan 4 4 4 4 5 5 6 6 6 6 6 6 7 8 9 9 8 7 6 5 5 5 5 6 6 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 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 4 4 4 4 4 4 4 4 4 5 5 5 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 6 6 6 6 7 7 7 7 7 8 7 7 7 7 7 6 6 5 5 4 4 4 4 4 3 3 2 2 3 3 3 3 3 4 4 4 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 6 12 16 10 2 -0 0 1 3 4 3 3 5 7 6 5 4 4 6 6 6 4 3 4 5 5 5 5 6 6 6 6 5 5 4 4 3 2 2 2 3 5 5 5 4 4 5 5 6 7 8 9 10 11 12 13 14 13 10 8 9 12 15 15 13 12 9 8 7 7 8 9 11 15 18 20 17 12 7 5 4 4 4 3 3 3 3 3 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 3 3 4 4 5 5 5 5 4 4 4 4 4 4 3 2 1 0 -2 -2 -0 2 4 4 5 5 5 6 6 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 4 4 3 3 4 8 10 9 7 6 5 4 3 4 4 4 4 4 5 5 5 4 4 4 4 4 3 3 2 2 2 2 1 1 2 2 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 3 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 5 5 6 6 6 4 2 2 3 4 5 4 1 -1 1 3 5 6 4 2 2 3 4 4 4 4 5 6 7 8 10 11 13 14 14 14 14 14 13 12 11 11 10 10 9 9 10 9 8 5 3 3 4 6 7 6 4 3 2 2 2 3 4 5 6 7 8 9 10 10 8 6 5 5 5 6 6 7 7 6 6 5 4 5 5 6 7 7 7 6 5 5 5 5 5 5 5 4 4 4 4 4 3 3 3 3 4 4 4 4 3 3 3 4 4 5 4 4 4 4 4 4 4 4 3 3 4 nan
nan 4 4 4 4 4 5 6 6 6 6 6 6 7 8 9 9 8 7 5 5 5 5 5 6 6 6 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 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 5 4 5 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 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 5 6 6 6 7 7 7 7 7 8 8 8 7 7 7 6 6 5 5 5 5 4 4 3 3 2 2 2 2 2 3 3 3 3 4 4 5 5 5 5 6 6 5 5 5 5 5 4 5 5 5 6 11 17 16 10 4 -1 -2 -1 0 2 3 5 6 6 5 4 4 6 6 5 4 4 3 3 3 3 3 4 4 4 5 4 4 3 2 2 2 2 3 5 7 7 6 5 5 5 6 7 8 8 9 10 11 13 15 16 13 9 8 10 12 14 13 12 11 9 7 7 7 8 9 11 14 17 15 11 8 5 4 4 4 4 3 3 3 3 3 4 4 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 3 3 4 5 5 5 5 5 5 5 5 5 5 4 3 2 1 0 -1 -2 -1 2 4 5 5 6 6 6 5 5 5 5 6 6 6 6 6 6 6 5 5 5 6 6 5 4 4 4 4 4 6 8 8 7 6 4 3 3 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 3 3 2 2 1 1 1 1 2 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 4 5 6 7 9 9 7 4 1 0 2 5 6 3 0 1 3 6 7 5 3 2 3 3 3 3 4 5 6 6 6 5 7 10 13 14 14 12 11 10 10 9 9 9 8 9 9 10 11 8 4 1 0 2 4 6 6 5 4 2 2 2 2 3 4 5 6 7 9 10 10 8 6 5 4 5 5 6 6 6 6 5 4 4 4 5 5 6 7 7 6 6 6 5 5 5 5 5 5 4 4 4 4 3 3 3 3 3 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 4 nan
nan 4 4 4 4 4 5 5 6 6 6 6 6 6 7 8 8 7 6 5 5 5 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 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 5 5 5 5 4 5 5 5 5 5 5 4 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 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 6 6 6 6 6 7 7 7 7 7 8 7 7 7 6 6 5 5 5 5 4 4 4 3 2 2 2 2 2 2 2 3 3 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 6 8 11 14 13 9 3 -1 -2 -0 2 4 5 5 5 4 4 5 5 5 4 4 4 3 2 1 1 1 1 1 1 2 3 3 2 2 2 2 3 5 7 8 7 6 5 4 5 6 7 7 7 8 10 11 12 12 12 11 9 9 10 12 14 13 12 10 8 7 6 7 7 8 10 13 14 12 8 6 5 4 4 4 4 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 4 2 1 0 -1 -2 -2 1 4 5 6 6 6 6 5 5 5 6 6 6 6 6 6 6 6 5 5 6 6 6 5 4 5 5 5 5 6 8 8 7 5 4 3 3 3 4 3 3 4 4 4 5 5 5 5 5 5 5 4 4 3 3 2 2 1 0 -0 0 1 2 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 4 3 3 3 3 3 3 3 4 3 3 3 3 2 2 2 2 3 4 5 7 8 10 11 10 8 4 1 1 4 6 4 2 2 3 4 6 5 4 3 3 3 3 3 4 4 6 7 6 3 2 5 9 10 10 9 7 7 8 7 7 7 7 7 8 10 11 11 6 1 -1 -0 2 4 6 6 4 2 2 2 2 2 3 4 6 7 8 9 9 8 7 5 4 4 4 5 5 6 6 5 4 4 3 4 4 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 4 4 3 3 3 3 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 nan
nan 5 5 4 4 4 4 5 6 6 5 6 6 6 6 7 7 6 5 5 5 5 6 6 6 7 7 6 5 5 5 5 6 6 6 5 5 5 5 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 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 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 5 6 6 6 6 6 6 7 7 7 7 7 7 7 7 6 6 5 5 5 5 4 4 3 2 2 2 2 2 2 2 3 3 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 5 5 6 6 8 10 11 10 7 4 3 3 5 6 6 5 5 5 6 6 6 5 4 3 4 4 4 3 1 0 -0 -0 1 2 2 2 2 2 2 3 4 6 8 8 7 5 4 4 4 6 7 7 7 9 11 12 10 8 7 8 8 7 8 11 13 13 11 9 7 6 5 6 7 7 9 12 12 8 6 5 5 5 4 4 3 3 3 3 3 3 4 4 3 3 3 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 5 5 5 5 5 5 5 5 5 6 6 5 3 1 1 0 -2 -3 -1 3 6 7 7 6 6 6 6 6 6 7 7 7 7 7 6 6 6 5 6 6 5 4 4 4 6 6 7 8 9 9 6 5 4 4 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 4 4 3 3 2 0 -1 -1 -0 0 2 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 4 3 2 2 2 2 3 3 3 3 3 2 2 2 2 2 3 4 6 7 9 10 11 10 8 7 5 4 4 6 5 3 2 2 2 3 4 4 3 3 3 3 3 3 3 4 7 8 6 2 3 6 7 7 7 6 6 6 6 6 6 6 7 7 9 11 13 10 5 1 1 1 2 4 6 5 3 2 2 2 2 2 3 4 5 7 8 9 9 7 6 4 3 3 4 5 5 6 5 4 4 3 3 4 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 3 3 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 nan
nan 5 5 5 4 4 4 5 5 5 5 5 5 5 5 6 6 5 4 4 5 6 6 6 6 7 7 6 6 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 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 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 7 7 7 7 7 6 6 6 6 5 5 4 4 3 2 2 2 2 2 2 2 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 6 7 9 9 8 7 8 8 8 7 7 6 6 6 6 7 7 7 6 4 3 4 5 6 5 3 2 1 1 2 2 3 3 3 3 2 3 4 6 6 6 6 5 4 4 6 8 10 9 9 11 13 12 8 5 5 6 6 6 7 9 12 12 10 8 6 4 4 6 6 7 8 11 10 7 5 5 5 5 4 4 3 3 3 3 3 3 4 4 3 3 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 5 5 5 5 5 5 5 5 6 6 6 6 5 4 2 1 1 -1 -2 -1 3 7 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6 6 6 4 3 4 5 6 7 8 10 11 9 7 5 5 4 3 3 3 2 2 2 3 3 3 3 4 4 5 5 5 5 5 5 5 5 4 3 2 0 -1 -2 -2 -1 0 2 3 3 4 4 4 4 4 4 4 4 5 5 5 4 3 2 2 1 1 2 2 2 3 3 2 2 2 1 2 2 4 5 7 9 10 10 8 6 6 6 5 4 5 5 4 3 3 2 1 2 3 4 4 4 4 4 4 2 2 5 9 9 6 5 6 7 7 7 7 6 6 6 5 6 6 6 7 8 10 13 13 10 7 6 4 3 3 5 6 5 4 2 2 1 1 2 3 4 5 7 8 8 8 7 5 4 3 4 4 5 6 5 5 4 3 3 3 4 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 nan
nan 5 5 5 5 4 5 5 5 5 5 4 4 4 5 5 5 4 4 4 4 6 6 6 6 6 6 6 6 6 5 5 6 6 6 6 6 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 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 7 7 6 6 6 6 5 5 5 4 3 3 2 2 2 2 2 2 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 6 7 8 8 6 6 7 8 8 7 6 7 7 7 7 7 8 10 9 7 5 5 5 6 6 5 4 3 3 3 3 3 3 3 3 2 3 4 5 5 5 5 4 4 5 9 13 13 12 11 13 14 10 6 4 5 7 8 7 7 8 10 9 8 6 5 4 5 7 7 6 8 10 9 7 5 5 5 4 4 4 3 3 3 3 3 4 4 4 3 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 5 5 5 5 5 5 5 5 6 6 6 7 6 6 5 3 2 1 0 -0 0 4 8 11 11 11 11 10 10 10 9 9 8 8 7 6 6 7 7 7 7 6 5 5 6 7 8 8 10 12 12 10 7 6 5 4 3 3 2 2 2 2 2 2 2 3 3 4 4 5 5 5 5 6 6 6 6 5 4 3 1 -1 -3 -4 -4 -3 -0 2 3 4 4 4 4 4 4 4 5 5 5 5 4 3 2 1 0 0 1 1 2 2 2 2 2 1 1 1 2 4 6 8 10 10 8 5 3 4 3 3 4 4 5 4 4 3 2 2 3 4 5 5 5 6 7 4 2 4 7 7 7 6 6 6 6 7 7 7 7 6 6 6 6 7 7 7 8 10 12 11 9 8 7 5 4 5 6 6 5 4 3 2 1 1 2 3 4 5 6 8 8 8 7 5 4 4 4 5 5 5 5 4 3 3 3 3 4 4 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 nan
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nan 12 12 13 13 13 12 12 11 11 11 13 13 13 12 11 11 12 12 13 14 14 14 14 13 13 12 11 11 11 11 11 10 10 10 10 10 11 12 13 15 17 18 19 18 17 16 16 15 17 18 18 19 19 18 18 17 16 15 15 15 16 16 17 17 16 14 13 11 10 11 12 14 15 16 16 15 14 13 12 11 9 8 7 6 6 6 7 8 9 11 13 15 15 15 14 13 12 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 10 10 10 11 11 11 11 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 9 9 9 9 9 10 10 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 13 13 13 12 12 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 11 11 11 11 10 10 9 9 9 10 11 12 13 12 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 14 13 13 12 12 12 12 12 12 11 11 11 12 13 13 13 13 12 11 12 12 12 12 11 11 12 11 10 9 8 9 13 15 17 16 14 12 10 9 8 9 12 14 15 15 14 12 11 11 11 10 8 8 8 10 13 15 17 17 16 15 15 15 16 15 14 13 12 12 13 14 14 13 12 12 12 12 13 13 13 12 11 10 10 9 9 8 8 9 10 11 12 12 13 13 12 12 12 12 12 12 12 11 11 10 9 9 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 12 11 11 12 12 13 13 13 12 12 12 13 14 15 15 15 15 14 14 13 12 11 11 11 11 10 10 11 10 10 10 9 8 7 5 5 6 7 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 11 11 12 13 13 13 13 13 12 12 11 11 11 10 10 10 10 10 11 12 13 14 15 16 16 15 14 13 12 12 13 13 13 11 10 10 11 12 14 15 15 15 14 14 13 13 13 13 14 15 15 13 12 10 9 9 8 9 11 nan
nan 11 12 12 13 13 12 12 12 11 11 12 12 12 11 11 10 11 12 13 14 14 14 13 13 12 11 10 10 9 10 11 11 11 10 9 9 9 10 11 12 14 15 17 17 17 17 17 17 18 19 20 20 19 18 17 16 15 14 15 15 15 15 15 14 12 10 8 7 6 7 9 10 12 13 14 15 15 14 13 11 9 7 6 5 5 5 6 7 8 9 10 12 13 13 14 13 13 13 13 13 13 13 12 12 13 13 13 13 13 13 12 12 11 11 10 10 10 10 9 9 9 10 10 11 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 10 10 9 9 8 8 9 9 10 10 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 12 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 11 11 11 10 9 8 8 8 10 11 13 13 12 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 11 10 10 10 12 13 14 14 13 12 12 12 12 13 12 12 12 13 13 12 11 9 10 11 13 14 14 12 10 7 6 6 10 14 16 18 18 15 13 12 10 9 7 7 7 8 10 13 16 17 18 17 15 15 15 15 15 14 13 12 11 13 15 15 13 12 11 12 13 13 14 13 12 11 10 10 10 10 10 11 11 12 12 13 13 13 12 12 12 12 13 13 13 12 11 10 9 9 9 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 10 10 9 10 11 12 12 13 13 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 11 10 10 10 10 10 10 10 10 10 11 12 13 14 15 15 14 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 14 14 14 13 12 12 12 11 12 12 12 12 13 14 15 15 15 14 14 13 12 11 12 13 14 15 15 14 13 11 10 9 8 9 11 nan
nan 12 12 12 12 12 12 11 11 11 11 11 11 10 10 9 9 10 11 12 14 14 13 13 12 11 10 9 9 9 10 12 13 12 11 10 8 8 8 9 9 10 12 13 14 15 16 17 18 18 19 19 19 18 16 16 15 14 14 15 15 15 14 13 11 9 8 6 5 5 5 6 7 8 10 11 12 13 13 12 11 9 7 6 6 7 7 8 8 9 9 10 11 11 12 13 14 14 14 14 14 13 13 12 13 13 13 13 13 13 13 13 12 11 10 10 9 9 9 9 8 9 9 9 10 11 12 12 12 12 12 12 11 11 11 10 10 10 10 10 9 10 10 10 10 10 10 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 11 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 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 7 7 7 9 10 12 13 13 12 12 11 12 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 11 11 11 11 11 11 12 13 14 13 13 12 12 13 13 13 13 13 13 13 13 13 12 10 10 10 10 11 11 10 9 6 6 8 12 16 18 19 18 16 13 12 10 8 6 5 6 8 12 14 16 18 19 18 16 16 15 16 16 15 13 12 11 12 14 14 14 13 13 13 13 14 14 13 12 11 11 11 11 11 12 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 11 10 9 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 10 10 9 9 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 10 10 10 10 10 11 12 12 13 13 12 12 11 11 11 10 10 10 10 10 10 10 10 10 12 13 14 15 16 15 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 11 11 11 11 12 12 12 12 12 11 11 10 10 10 10 12 12 13 13 13 13 13 12 12 13 13 13 14 14 15 15 15 15 14 13 12 11 11 12 13 14 15 15 14 13 11 10 10 10 11 nan
nan 12 12 12 12 11 11 11 11 11 11 11 10 10 9 8 8 8 9 11 12 12 12 13 12 11 11 10 10 10 11 13 14 13 12 10 9 8 8 9 9 10 11 12 13 14 15 16 18 18 18 18 16 15 14 13 13 13 14 15 15 15 14 13 11 10 8 7 6 5 5 5 5 6 7 8 9 9 10 10 9 9 9 9 9 10 11 11 11 11 11 11 12 12 13 13 14 14 14 14 14 13 12 12 11 11 12 12 13 13 13 13 12 11 10 10 9 9 9 9 9 9 9 9 10 10 11 12 12 12 12 12 12 11 11 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 12 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 11 11 11 11 10 10 8 7 7 8 9 10 12 13 14 14 14 14 14 13 13 13 12 12 11 11 12 12 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 13 13 13 13 12 11 10 10 10 12 14 15 15 14 13 11 9 9 9 10 11 12 12 11 10 9 10 11 13 14 14 15 14 14 13 12 10 8 6 5 5 8 11 14 16 18 18 18 18 18 17 17 17 15 14 12 11 11 12 13 14 14 13 13 14 14 14 13 13 12 12 13 13 13 13 14 14 14 13 13 13 13 13 12 12 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 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 11 11 10 10 10 9 9 9 8 8 8 8 8 9 10 10 10 11 11 11 11 10 10 11 11 11 12 13 14 14 13 12 12 11 11 10 10 10 10 10 10 10 10 10 10 11 12 13 13 14 13 13 13 13 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 13 13 13 12 12 12 12 12 12 12 12 13 13 13 13 13 12 12 12 12 12 13 13 14 14 15 16 16 15 15 15 15 14 14 15 15 15 15 15 14 13 13 13 13 14 14 14 13 13 12 11 11 11 12 nan
nan 12 11 11 11 11 11 11 11 11 10 10 10 10 9 7 7 7 8 10 11 13 14 14 14 13 12 11 11 11 12 13 13 13 12 10 9 9 9 9 10 11 13 14 14 15 16 17 17 17 16 15 13 12 12 11 11 12 13 14 15 15 15 14 13 12 11 10 8 7 6 5 5 5 5 6 7 8 8 9 9 10 11 11 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 11 11 10 10 10 10 11 11 12 12 12 12 12 11 11 10 10 10 11 11 11 11 10 10 11 11 11 12 12 12 12 11 11 11 10 10 10 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 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 11 11 11 11 11 11 10 9 8 7 7 7 9 11 14 16 17 16 14 13 13 13 12 12 12 12 12 13 13 13 12 12 11 12 12 12 12 12 12 12 12 12 12 11 10 9 9 11 12 14 14 14 13 12 10 9 8 7 8 12 16 17 17 15 12 9 7 6 6 8 11 13 14 14 14 14 14 14 13 11 10 9 9 10 12 12 10 8 7 7 7 10 11 13 15 16 17 18 18 19 18 17 17 16 15 14 12 11 12 12 13 14 14 14 14 14 14 13 13 13 13 13 13 14 14 14 14 14 13 13 13 13 13 12 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 13 14 14 14 13 12 12 11 11 10 10 11 11 11 11 11 10 10 10 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 13 13 13 13 13 13 14 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 14 14 15 15 15 16 15 15 14 14 14 15 16 17 18 18 18 17 17 16 15 15 15 15 15 15 16 16 16 15 15 14 14 13 13 12 12 11 11 11 12 12 nan
nan 11 11 10 10 11 11 11 11 11 11 11 11 11 10 10 9 10 11 12 14 14 15 15 15 13 12 11 11 11 12 13 12 12 11 10 9 9 9 9 10 12 14 15 16 16 17 17 16 15 14 13 12 11 11 11 12 12 14 14 15 15 15 14 14 13 12 11 10 9 7 6 6 5 6 6 7 8 9 11 12 12 13 13 14 14 14 14 14 14 15 14 13 13 12 12 12 12 11 11 10 9 9 9 9 8 8 9 9 10 11 12 12 13 13 12 12 12 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 10 10 11 11 12 12 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 11 11 11 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 8 5 3 4 7 10 16 19 18 16 14 13 13 13 13 13 13 13 12 12 12 12 12 11 11 12 12 12 11 12 12 12 12 12 11 9 8 8 10 13 15 16 16 14 11 9 7 6 6 8 12 16 17 18 16 13 10 8 6 6 8 10 11 12 13 15 16 17 16 14 11 9 9 9 9 9 8 7 6 7 8 10 12 13 13 14 14 15 16 17 18 17 17 17 17 17 16 14 12 12 12 13 14 14 14 14 14 14 14 14 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 11 11 10 10 11 11 11 12 12 12 12 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 10 10 10 10 10 10 10 10 10 10 11 11 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 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 12 12 13 13 14 13 14 13 12 12 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 12 12 12 13 13 13 13 13 13 12 13 12 12 13 13 13 13 14 14 14 14 14 13 14 14 14 14 14 14 14 14 13 13 13 13 14 14 14 14 14 14 14 14 15 15 15 15 16 16 17 18 17 17 16 16 16 15 15 16 16 16 16 16 16 16 16 15 15 13 12 12 12 12 12 12 13 13 nan
nan 11 10 9 10 10 11 12 12 11 11 10 10 10 11 12 13 13 14 15 15 14 13 13 11 11 11 11 11 11 12 12 12 12 11 11 10 9 9 9 9 11 12 14 15 16 17 16 15 14 13 12 12 12 12 13 13 14 15 15 15 15 14 14 13 13 13 12 11 10 9 8 7 7 8 8 9 11 12 13 14 15 15 15 14 14 14 14 14 14 14 14 13 11 11 10 10 10 10 10 9 8 8 8 8 9 8 8 8 9 10 12 13 14 14 14 14 15 14 14 14 13 13 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 10 10 11 11 12 12 13 13 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 10 6 2 -1 -0 4 12 19 19 19 17 14 14 13 13 13 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 11 9 8 7 8 12 14 17 17 15 11 8 7 7 9 10 12 13 13 14 14 13 12 11 10 9 9 9 9 9 11 13 15 16 16 14 11 11 11 12 12 9 5 4 2 4 9 12 13 14 13 13 14 14 15 15 15 15 15 16 17 18 17 16 14 14 14 14 14 14 14 14 14 14 14 14 13 13 13 12 12 12 12 12 12 13 13 13 12 12 12 11 11 11 11 12 12 12 12 12 12 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 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 13 13 12 11 10 10 11 12 13 13 14 14 13 13 13 14 15 16 16 15 15 15 15 16 16 16 16 16 16 16 16 16 16 15 15 14 13 13 13 13 13 13 14 nan
nan 9 9 9 10 11 12 13 12 12 10 9 9 8 10 12 14 15 16 17 15 13 12 11 10 10 12 12 12 12 12 11 11 11 11 12 12 11 10 9 9 9 10 11 13 14 15 16 15 14 14 13 13 13 14 14 15 16 16 15 15 14 13 13 13 13 12 12 12 11 10 10 9 9 10 11 12 13 14 15 15 14 14 13 13 13 13 12 13 13 13 12 11 10 9 9 10 10 10 10 9 9 9 9 10 10 10 9 9 9 10 11 13 14 15 15 15 15 14 13 13 12 11 10 10 10 10 10 10 10 10 10 10 10 10 9 10 9 9 9 9 9 10 10 10 11 12 12 12 13 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 11 10 10 10 10 10 10 10 10 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 9 4 -1 -5 -5 -0 10 19 23 24 21 16 14 13 12 12 11 11 12 12 13 12 12 11 11 11 11 11 10 10 9 8 9 11 11 11 9 7 7 10 13 17 18 15 12 10 10 11 13 12 11 9 7 9 11 13 14 14 14 14 13 11 10 9 9 10 10 11 10 10 11 12 15 16 15 11 6 4 2 4 8 11 13 14 13 13 13 13 13 13 12 12 12 12 15 17 18 18 18 17 16 15 15 15 15 15 15 14 14 13 12 12 12 11 11 11 11 12 12 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 12 12 12 11 11 11 12 12 12 12 12 12 12 12 12 12 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 13 13 13 12 11 11 11 10 10 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 14 14 14 14 14 15 15 15 15 15 15 14 14 14 14 14 14 14 14 14 14 13 12 11 11 11 12 12 13 13 13 13 12 12 12 13 14 14 14 14 14 15 15 16 16 16 16 15 15 15 15 15 16 16 16 15 15 14 14 14 14 14 13 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
90 90 104 117 161 186 222 272 363 369 366 384 416 435 440 450 447 434 417 396 374 351 279 208 182 173 138 113 101 96 100 96 76 58 52 50 51 53 50 47 47 42 38 39 38 35 31 27 24 19 16 15 15 14 12 11 9 8 5 4 4 3 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 4 14 23 28 29 20 7 1 2 2 9 32 79 139 162 205 311 392 431 463 507 545 549 526 487 455 426 405 389 379 377 380 365 315 269 256 267 303 355 434 553 680 789 867 943 1009 1058 1105 1179 1212 1212 1220 1304 1350 1337 1352 1461 1455 1490 1589 1759 1894 1966 2109 2209 2173 2146 1914 1569 1550 1778 1887 1850 1882 2034 2105 1882 1478 956 618 533 660 956 951 688 455 474 540 592 593 596 576 449 361 326 282 234 258 280 223 190 205 247 222 177 174 167 153 153 152 134 112 100 101 115 125 129 126 113 103 79 46 36 42 53 58 64 84 108 120 150 314 722 864 468 181 142 206 194 116 61 48 39 20 6 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 2 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 1 4 5 10 26 61 85 76 64 73 81 83 81 79 75 69 65 61 55 60 66 67 62 58 56 60 64 58 52 48 46 43 40 41 43 40 35 27 22 20 19 17 15 11 7 4 2 2 1 1 3 5 10 22 35 47 51 53 64 74 82 90 86 77 93 96 102 91 98 85 79 86 92 99 100 96 93 94 99 104 116 129 140 149 168 205 251 310 381 457 530 586 578 612 719 896 1075 1122 1220 1258 1004 935 827 784 701 644 621 606 679 731 696 645 563 487 578 785 944 772 540 395 384 443 490 566 628 566 533 671 853 918 936 838 753 763 912 891 777 812 958 1142 1324 1462 1715 2064 2294 2303 2248 1571 916 814 1235 1376 1688 1976 2160 2360 2543 2796 2940 2772 2612 2693 2822 2781 2647 2417 2145 1977 1903 2215 2370 2324 2171 1996 1902 1874 1914 2034 2055 2132 2084 2052 2077 2187 2367 2551 2634 2597 2516 2401 2320 2327 2333 2329 2258 2070 1961 1717 1456 1266 1209 1273 1315 1267 1154
70 72 82 99 136 173 210 264 353 374 367 358 358 372 392 409 427 443 426 396 358 310 252 213 211 215 139 110 101 93 97 86 63 51 49 47 45 43 39 37 36 33 31 30 28 27 24 21 19 17 15 14 14 12 11 9 7 5 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 10 12 9 4 1 0 0 0 2 4 16 34 62 101 155 202 244 301 371 420 435 421 401 385 373 376 391 389 371 332 273 242 239 257 294 350 446 591 734 824 886 968 1017 1062 1116 1173 1212 1240 1289 1274 1283 1265 1302 1467 1457 1487 1623 1801 1968 2034 2187 2256 2132 1899 1577 1327 1314 1453 1564 1609 1725 1872 1847 1705 1390 831 524 412 569 834 747 496 280 298 329 383 384 346 376 330 266 237 224 239 272 254 199 166 176 220 199 178 175 158 136 119 102 87 81 91 114 127 116 100 86 74 68 56 41 28 23 28 38 62 95 97 90 161 438 803 661 237 50 26 33 23 7 1 1 2 2 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 2 2 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 8 23 54 79 72 61 71 80 82 79 78 74 69 65 62 56 64 70 67 61 57 55 59 62 56 48 44 41 39 36 34 36 37 35 29 23 21 19 17 14 12 8 5 3 2 2 1 1 2 6 17 27 36 41 43 43 47 51 51 44 28 37 48 57 56 56 51 48 49 53 54 49 46 43 41 42 43 48 58 67 72 84 108 137 188 247 329 447 530 530 482 504 599 717 773 791 722 721 760 727 694 648 611 569 551 590 615 648 710 752 806 851 842 819 684 527 331 311 451 443 499 552 543 505 546 583 738 864 862 738 606 596 619 602 770 1032 1209 1230 1347 1756 2138 2462 2564 2317 1509 939 844 1155 1396 1612 1826 2031 2235 2550 2920 3039 2847 2656 2738 2911 2885 2750 2559 2391 2301 2315 2475 2584 2475 2327 2154 2006 1850 1793 1975 2075 2043 1984 1968 2040 2125 2228 2362 2475 2539 2556 2445 2353 2330 2294 2229 2195 2071 1927 1751 1496 1294 1257 1303 1330 1295 1195
52 59 68 84 114 157 199 272 375 356 348 334 326 334 364 377 390 423 441 399 336 272 211 196 229 225 144 111 101 93 95 84 58 47 46 43 41 39 36 33 30 27 24 21 19 18 18 16 15 14 14 13 12 11 9 8 5 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 2 4 7 22 45 71 99 131 163 195 229 269 302 320 321 321 329 326 311 285 252 232 230 254 294 358 467 618 757 840 886 918 955 1018 1090 1155 1201 1225 1263 1241 1186 1216 1280 1413 1484 1497 1679 1835 1955 2070 2216 2219 1986 1624 1293 1196 1257 1342 1414 1477 1573 1649 1525 1282 1037 735 505 393 448 520 429 280 186 215 213 195 188 169 189 220 209 202 210 235 246 214 173 159 159 177 182 180 161 133 113 99 90 83 82 94 115 118 92 62 45 41 44 48 40 19 8 16 35 62 69 49 80 336 603 565 264 57 5 0 0 0 1 2 3 3 2 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 1 1 1 1 2 2 2 3 3 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 1 2 5 10 19 42 67 69 65 71 80 82 79 77 73 69 67 66 68 75 75 70 62 58 56 57 56 50 42 38 35 33 31 29 28 29 30 28 24 21 20 18 15 12 9 6 4 3 3 2 2 3 5 13 22 30 33 31 32 34 38 36 29 19 17 20 25 30 32 26 19 19 23 24 19 15 10 8 11 11 13 18 27 32 36 49 59 92 148 230 362 503 625 593 463 397 393 415 422 399 437 516 585 630 639 603 562 549 567 614 644 742 815 888 893 849 757 599 514 407 395 458 442 466 503 519 493 481 546 695 834 801 640 533 476 560 698 842 978 1137 1245 1499 1795 2125 2412 2532 2487 1947 1317 1043 1105 1437 1840 2035 2078 2175 2444 2807 2995 2868 2676 2748 2928 2969 2980 2875 2703 2627 2682 2732 2691 2578 2437 2280 2108 1906 1801 1933 2068 2028 1887 1847 2008 2108 2116 2144 2262 2382 2481 2465 2391 2372 2311 2204 2113 2053 1953 1803 1582 1374 1285 1301 1319 1301 1206
41 49 60 77 104 142 187 253 317 335 347 343 326 330 369 373 363 353 404 372 291 240 208 221 241 190 121 106 98 92 90 76 54 44 43 38 37 34 31 27 21 19 17 15 15 16 15 13 12 12 12 11 9 8 7 6 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 1 2 2 2 7 15 31 56 80 105 136 178 221 253 265 261 254 257 259 253 235 225 234 263 310 391 490 597 699 769 806 856 924 984 1044 1107 1159 1187 1188 1153 1132 1185 1306 1366 1434 1487 1666 1816 1896 2018 2166 2209 1824 1367 1107 1144 1349 1484 1504 1491 1440 1365 1161 899 771 686 548 433 344 247 179 138 157 194 193 141 110 92 99 153 177 184 206 224 227 212 197 186 164 148 148 145 124 99 82 76 75 70 66 69 76 70 47 28 21 23 31 37 26 10 10 35 61 57 33 47 211 552 538 253 55 6 0 0 1 2 5 7 8 7 3 1 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 3 3 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 1 1 2 6 13 21 38 58 67 72 75 82 83 80 77 73 70 69 71 73 78 79 74 64 59 56 53 49 42 36 32 29 27 25 25 24 23 23 22 21 19 18 16 14 12 10 7 5 4 4 3 3 4 5 9 15 23 29 26 21 21 25 25 21 17 15 14 14 14 15 11 3 2 5 5 2 0 0 0 0 1 1 2 5 9 15 21 28 49 96 162 265 366 486 540 455 313 250 260 279 303 329 373 507 607 615 579 535 524 591 653 695 802 878 909 829 872 759 580 494 434 418 447 440 461 475 475 470 462 542 720 885 848 806 780 862 1007 1035 867 943 1140 1294 1503 1789 2083 2360 2566 2566 2185 1627 1232 1232 1606 1928 2079 2127 2244 2486 2841 2914 2787 2609 2708 2891 3003 3071 3022 2920 2839 2840 2836 2770 2665 2525 2369 2185 1961 1836 1906 2024 1984 1756 1789 1985 2146 2066 2003 2061 2161 2310 2400 2350 2311 2265 2192 2099 2021 1970 1846 1649 1413 1241 1236 1262 1277 1202
23 35 51 75 103 134 174 223 257 293 312 314 315 339 383 391 379 359 366 336 246 211 225 256 272 181 133 127 109 90 81 67 51 43 39 33 31 28 27 23 18 15 13 13 14 13 12 11 10 10 10 8 6 6 6 4 2 1 2 2 1 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 1 2 1 0 0 1 6 21 41 65 92 126 165 198 220 231 235 244 251 246 225 215 222 259 325 409 485 549 624 671 740 835 907 952 989 1028 1063 1092 1112 1103 1110 1160 1246 1307 1372 1442 1583 1716 1822 1951 2090 2258 2225 1636 1155 995 1257 1499 1527 1433 1277 1113 840 567 506 524 447 313 191 116 81 99 160 181 165 124 100 80 84 128 163 176 198 221 235 247 254 237 190 139 115 102 85 70 60 55 48 38 29 25 22 16 11 11 11 13 15 16 9 10 41 94 124 99 91 209 474 562 291 68 6 0 0 0 2 6 9 10 9 8 4 1 1 1 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 4 3 3 3 2 2 1 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 9 16 25 40 57 67 76 80 84 92 91 79 75 73 73 77 77 76 78 75 65 57 52 47 43 37 31 27 24 22 21 20 20 20 19 17 15 14 14 13 12 11 11 10 8 7 5 4 4 5 5 10 15 21 25 22 18 17 17 17 16 14 13 12 12 12 10 7 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 7 12 28 66 121 192 243 272 284 247 189 178 201 222 258 308 348 467 577 658 608 538 566 650 763 890 966 1024 1071 1035 957 786 612 505 428 457 504 472 478 462 475 496 471 547 672 842 895 996 1160 1221 1305 1204 966 953 1110 1293 1522 1809 2083 2343 2583 2638 2331 1849 1539 1608 1891 2092 2302 2424 2551 2790 3007 2962 2808 2594 2654 2807 2942 3052 3094 3055 2977 2925 2890 2834 2741 2599 2439 2259 2025 1865 1886 1924 1894 1877 1909 2032 2139 2112 2007 1932 1955 2139 2347 2364 2280 2188 2142 2072 1995 1936 1860 1672 1438 1240 1182 1214 1264 1209
17 25 41 64 87 121 179 234 291 292 289 280 291 348 403 416 403 376 343 296 231 217 234 251 272 164 147 129 107 87 75 64 52 43 37 32 28 26 23 20 19 14 13 14 14 11 10 10 9 8 7 6 6 5 4 2 1 1 1 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 1 5 18 39 64 95 131 168 200 220 231 238 240 229 206 195 208 256 317 375 431 473 545 603 699 780 838 874 898 925 955 986 1024 1080 1141 1184 1213 1252 1310 1373 1481 1585 1702 1858 1993 2118 2402 2256 1638 1019 913 1013 1082 1052 978 824 547 292 197 205 216 178 116 84 76 96 130 114 72 58 66 70 90 130 165 188 219 251 261 270 272 252 203 141 100 77 62 52 46 39 30 20 11 5 1 1 6 14 16 11 4 3 13 47 124 209 231 238 334 538 588 340 81 9 0 0 0 1 5 9 11 10 8 7 4 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 1 1 1 2 3 4 4 3 3 3 2 2 0 0 0 0 0 0 0 1 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 9 16 24 40 61 75 90 95 96 104 100 84 79 78 79 82 81 79 77 73 65 55 47 42 38 32 27 23 20 17 15 14 15 14 14 12 11 10 11 12 11 11 11 11 10 9 7 5 5 5 7 10 15 21 24 21 18 16 15 15 14 13 12 10 9 9 8 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 15 36 65 99 133 150 149 142 126 135 155 175 216 273 334 414 529 686 700 660 603 628 823 1010 1069 1090 1114 1104 986 814 658 543 449 417 469 497 466 445 496 544 570 588 596 704 872 989 1247 1343 1341 1261 1089 1010 1150 1345 1544 1801 2066 2312 2521 2661 2556 2237 2049 2103 2370 2405 2557 2701 2759 2777 2803 2877 2720 2569 2607 2724 2855 2988 3085 3102 3056 2994 2932 2881 2815 2696 2554 2405 2242 2082 2014 1873 1761 1784 1885 2036 2155 2128 1977 1849 1840 1988 2255 2423 2388 2183 2073 2038 2020 1892 1850 1715 1495 1279 1190 1227 1314 1315
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14 14 23 37 58 102 168 230 249 258 290 302 266 294 367 402 404 365 297 228 183 163 159 158 140 112 105 98 83 73 62 57 52 41 31 22 21 15 13 13 14 14 14 13 11 10 9 9 8 7 6 5 7 5 3 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 2 12 28 48 77 117 161 191 207 214 213 202 192 187 194 213 234 262 298 316 370 462 571 641 683 703 703 720 777 867 932 972 1019 1096 1185 1247 1280 1302 1328 1361 1436 1577 1752 1975 2090 2102 1726 1410 689 241 186 235 270 149 51 35 75 137 170 162 114 59 36 35 27 11 1 1 4 15 49 114 175 213 240 241 228 181 141 126 120 94 62 43 46 61 65 50 36 30 26 22 26 36 40 38 36 48 71 90 129 229 345 371 390 498 511 238 49 7 0 0 0 0 1 4 10 12 12 10 8 7 6 5 4 3 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 1 2 2 3 4 5 5 4 3 2 4 5 4 4 3 0 0 0 0 4 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 5 14 19 27 45 65 89 107 129 137 115 93 90 88 86 87 89 85 81 75 70 64 54 46 39 31 24 20 17 11 3 0 1 1 4 6 8 10 13 13 13 12 11 10 9 9 9 8 7 7 7 8 10 14 18 21 22 19 18 16 15 14 13 11 8 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 6 12 15 17 19 30 45 61 79 89 83 103 129 169 230 301 383 510 627 677 692 764 922 1072 1085 1019 950 786 682 650 611 523 442 466 453 464 469 589 716 800 806 682 596 652 840 1154 1399 1459 1453 1363 1305 1383 1388 1525 1639 1921 2092 2243 2369 2579 2641 2497 2423 2459 2375 2256 2219 2166 2177 2289 2352 2383 2417 2433 2468 2661 2838 2876 2969 2960 2946 2885 2818 2768 2760 2748 2689 2576 2453 2351 2237 2053 1819 1733 1799 1861 2170 2270 2081 1784 1737 1893 2158 2300 2275 2163 1998 1922 1892 1820 1705 1534 1326 1206 1228 1315 1348
17 15 19 26 40 76 132 191 209 210 239 261 243 248 304 358 370 332 252 186 167 170 161 146 124 107 105 95 80 69 61 56 51 42 33 24 23 18 16 17 16 16 16 14 12 10 9 8 7 6 6 6 5 5 3 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 23 39 62 97 139 174 194 205 207 201 198 195 191 198 206 214 237 252 299 390 496 567 624 658 656 674 748 894 991 1045 1102 1169 1198 1229 1281 1322 1332 1314 1329 1419 1584 1824 2009 2111 1858 1357 726 219 109 116 111 46 15 34 110 167 163 126 74 26 8 6 5 2 4 8 9 10 33 88 144 177 191 207 189 138 91 71 61 42 24 21 47 82 78 50 32 27 28 34 50 67 58 32 19 42 101 151 171 207 271 306 327 328 218 52 4 0 0 0 0 0 1 4 10 14 14 10 9 9 9 7 6 5 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 1 2 2 2 4 6 5 5 5 5 5 6 7 6 6 9 2 0 0 0 3 9 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 9 18 26 40 53 68 85 107 133 142 129 103 96 92 94 94 90 86 81 75 70 62 53 45 38 31 24 19 14 7 1 0 0 0 2 5 7 9 12 12 12 11 11 9 9 9 8 8 7 7 8 8 10 13 16 19 20 19 17 16 15 13 12 11 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 2 1 1 1 2 5 9 14 17 21 27 38 48 56 58 71 95 129 163 186 240 364 512 625 687 751 882 1094 1163 1078 1052 879 719 697 693 645 541 482 487 508 560 697 837 839 777 722 648 629 805 1219 1524 1599 1646 1546 1495 1587 1359 1535 1600 1764 1945 2088 2241 2480 2628 2617 2536 2410 2146 2017 2084 2092 2113 2151 2111 2092 2197 2297 2327 2547 2711 2773 2852 2859 2831 2786 2729 2664 2606 2562 2537 2474 2383 2308 2232 2133 1934 1891 1959 1902 1975 1984 2100 1909 1829 1947 2146 2234 2237 2200 2046 1906 1850 1806 1697 1523 1293 1115 1122 1110 1128
19 17 19 19 24 53 114 187 161 141 170 188 184 195 252 301 300 264 202 156 162 192 180 139 113 102 97 89 76 66 59 55 49 44 38 31 29 24 23 22 23 17 16 15 13 11 9 8 7 6 6 5 4 3 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 5 9 16 24 32 42 60 86 122 155 179 196 204 207 207 202 190 184 190 190 192 201 237 318 426 518 589 632 689 749 791 845 857 897 943 976 1040 1132 1193 1234 1266 1276 1288 1337 1465 1691 1861 1924 1988 1659 940 323 134 115 81 25 23 80 137 129 91 47 18 8 7 3 0 0 4 12 16 14 25 57 90 112 125 136 132 104 72 44 25 13 12 31 84 103 71 33 15 11 13 22 42 63 53 23 11 37 86 104 87 97 143 166 138 83 37 8 0 0 0 0 0 0 1 4 10 14 12 10 10 11 11 10 8 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 5 6 5 7 7 6 6 8 10 12 11 18 11 2 0 0 1 13 6 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 15 21 30 45 60 74 82 104 131 141 137 112 107 99 96 94 90 85 79 74 68 59 50 43 38 32 26 19 14 7 0 0 0 0 2 5 6 8 10 11 11 9 8 8 8 8 8 8 8 8 7 8 9 10 13 15 16 17 16 15 15 12 11 9 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 4 3 2 1 1 1 2 6 11 15 16 17 20 28 33 36 43 62 92 116 130 173 284 417 514 625 758 869 1064 1145 1136 1134 1052 911 856 815 779 757 717 712 751 740 736 829 813 707 685 636 675 774 1192 1578 1889 2131 1993 1744 1843 1728 1630 1600 1655 1814 1962 2130 2334 2497 2589 2576 2439 2286 2193 2084 2070 2065 2088 2044 2007 2074 2183 2347 2499 2595 2670 2737 2771 2757 2721 2681 2583 2452 2373 2332 2310 2307 2227 2136 2039 1944 2005 2095 2082 2085 1965 2054 2020 1901 1913 2061 2189 2209 2177 2036 1929 1838 1792 1705 1571 1330 1177 1143 1103 1126
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45 47 48 47 48 48 45 44 43 42 41 42 42 42 43 45 47 46 45 43 41 39 37 35 33 31 24 15 9 7 6 5 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 68 166 263 185 152 136 157 178 202 334 423 414 395 400 432 523 635 726 848 992 1067 1038 837 665 452 248 142 166 236 264 187 92 51 42 39 40 49 83 146 185 166 142 129 152 197 221 206 165 132 118 114 94 63 39 26 18 15 10 5 5 6 5 1 0 0 0 0 1 8 21 15 4 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 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 1 1 2 4 6 6 6 8 12 15 13 12 13 18 21 22 22 24 30 34 35 41 49 49 42 41 47 52 53 55 55 56 61 59 52 44 38 34 31 32 36 43 51 64 79 85 84 89 96 105 105 108 114 117 115 115 117 119 122 122 117 109 102 94 84 76 72 65 59 52 44 42 40 36 31 29 28 28 26 22 20 19 18 18 16 14 12 10 8 8 6 5 3 1 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 1 2 2 3 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 3 6 10 29 81 170 263 354 444 549 643 709 743 685 597 564 628 680 669 695 745 810 874 922 928 857 753 660 586 518 462 440 466 486 492 456 403 341 333 366 446 558 692 818 864 852 863 919 1044 1254 1529 1729 1900 2116 2319 2406 2355 2260 2141 1929 1537 984 516 260 239 205 221 327 386 378 494 593 682 800 923 1049 1215 1334 1027 670 679 1026 1588 1980 2015 1945 1963 2016 2069
40 41 43 48 48 49 49 46 44 42 42 42 42 42 43 45 46 46 45 43 41 38 36 34 31 28 22 14 11 9 5 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 1 8 8 1 0 0 0 0 0 0 0 0 6 22 38 66 143 237 210 136 99 107 133 282 349 367 351 355 392 439 561 702 838 956 897 876 779 641 531 375 286 205 215 284 320 259 189 174 171 129 71 33 33 74 128 153 168 166 168 183 209 211 175 133 105 88 68 44 28 21 16 13 7 4 3 2 1 0 0 0 1 3 6 11 12 6 1 0 0 0 0 0 0 0 0 1 4 3 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 1 1 1 1 1 3 6 7 6 8 10 11 11 10 11 17 18 19 19 19 26 31 31 37 44 42 38 40 46 51 52 54 53 55 59 59 52 46 41 36 33 33 37 44 53 68 82 89 93 91 95 100 102 107 110 112 113 112 113 112 115 112 108 104 98 91 81 73 68 63 57 50 45 43 40 35 29 28 28 27 26 25 23 20 19 19 18 17 15 13 10 9 7 4 3 1 0 0 0 0 0 0 0 0 1 1 2 2 2 1 0 1 1 1 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 1 1 1 1 2 2 3 4 15 36 75 147 230 311 411 519 588 645 668 621 472 517 591 660 700 739 745 757 785 790 760 692 621 573 538 497 458 469 517 547 509 443 372 327 308 331 403 501 628 717 742 789 835 916 1053 1252 1473 1666 1889 2111 2271 2333 2298 2234 2088 1771 1217 577 296 230 201 219 288 375 382 388 477 564 626 714 832 1042 1326 1194 872 761 789 1074 1657 2052 1949 1956 2000 2028
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