Vorticity
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nan 2 2 2 2 2 2 3 2 2 2 2 3 4 5 5 5 5 6 7 8 8 7 6 5 4 4 4 5 5 5 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 4 4 4 4 4 4 3 3 2 2 2 2 2 3 3 3 3 3 3 3 3 3 4 3 4 4 3 3 3 4 4 3 3 2 2 3 3 3 3 3 3 3 3 2 2 1 1 1 1 2 2 3 4 6 7 7 7 7 7 6 6 5 5 5 5 5 6 5 5 5 5 5 6 7 7 7 6 5 4 4 4 5 7 7 7 7 7 7 6 6 5 5 5 5 4 4 3 4 5 5 5 4 3 3 3 4 5 5 5 5 5 5 4 4 4 5 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 7 16 28 33 27 16 8 5 4 3 3 7 12 15 15 12 8 6 7 7 6 6 8 9 8 6 5 4 5 5 5 5 5 5 5 7 9 9 8 7 6 7 7 7 7 8 8 9 9 9 9 9 9 8 6 3 2 3 5 6 7 9 8 7 6 5 5 4 1 -2 -2 4 10 13 11 7 4 2 0 -1 -2 4 16 26 26 20 13 9 9 10 12 11 8 6 5 5 6 7 6 4 5 6 8 10 11 11 9 8 6 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 4 4 5 5 5 5 5 7 13 23 27 20 10 6 6 5 5 4 4 3 4 6 8 8 7 6 6 6 6 6 6 5 4 4 3 -0 -5 -7 -4 -1 -2 -2 1 2 3 3 4 5 7 10 15 17 14 8 2 -2 -2 1 5 7 6 4 3 2 3 3 3 3 4 5 7 10 11 9 6 2 1 1 3 3 3 2 2 1 1 2 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 3 3 3 3 3 3 2 2 2 2 2 3 3 4 5 5 3 2 3 3 2 -0 -0 2 6 10 12 11 10 8 5 4 6 7 5 3 -0 -2 -2 -1 0 2 1 -0 1 4 5 5 5 6 7 7 7 8 9 10 10 10 9 8 6 5 5 5 5 5 6 6 7 7 7 8 9 8 8 8 8 9 9 10 9 9 8 7 6 6 5 4 4 4 4 4 4 4 5 5 6 5 5 5 6 5 5 4 3 3 3 4 5 6 7 9 10 9 7 4 3 2 3 4 5 5 5 5 4 4 4 nan
nan 3 3 2 2 2 2 3 3 2 2 2 2 4 4 4 4 4 5 7 9 10 9 9 8 6 4 4 4 5 5 5 5 5 5 5 5 4 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 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 2 2 3 3 3 3 3 2 2 3 3 2 1 1 1 2 2 3 4 5 6 7 7 6 6 6 6 5 5 5 4 5 5 5 5 5 5 5 6 7 7 7 6 5 5 4 5 5 7 8 8 7 6 6 6 6 6 6 6 5 5 5 4 4 4 4 4 4 3 1 0 2 3 5 5 5 5 5 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 3 4 4 4 4 4 4 7 17 27 29 25 19 12 6 3 2 3 6 10 12 11 9 8 10 10 8 5 5 6 6 5 4 3 3 3 4 5 5 5 4 4 6 7 7 8 7 7 7 8 8 8 8 8 8 7 6 6 7 8 8 7 5 2 2 3 4 5 7 8 8 7 5 3 2 1 0 -0 3 8 12 10 5 2 2 1 -0 1 9 21 27 26 18 11 9 11 14 14 11 6 3 3 4 5 5 5 4 3 3 4 6 8 10 10 9 8 7 7 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 7 14 23 26 18 10 7 7 6 5 5 4 3 3 5 8 10 9 7 5 6 6 6 6 5 4 4 3 1 -5 -8 -5 -1 -2 -4 -3 1 3 3 3 4 6 8 11 13 12 8 3 -1 -2 1 5 7 7 5 3 3 3 3 3 3 4 5 6 8 9 8 5 2 0 1 3 4 4 4 3 1 1 1 3 4 4 3 2 2 3 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 3 3 3 3 3 2 2 2 2 2 2 2 3 3 4 4 3 2 3 3 1 -2 -3 0 5 9 12 13 12 10 6 4 5 6 4 2 0 1 2 4 5 8 11 11 9 6 4 4 4 5 5 5 5 5 6 6 7 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 7 8 8 9 9 9 9 8 7 6 6 5 4 4 4 4 4 4 5 5 6 6 5 5 5 5 5 5 4 3 3 4 4 5 7 8 9 9 8 6 5 4 4 4 5 5 5 5 5 4 4 4 nan
nan 4 3 3 3 2 3 3 3 2 2 2 2 3 3 3 3 3 4 6 9 10 10 10 10 8 6 4 4 5 5 5 6 6 6 6 5 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 4 4 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 2 2 2 2 2 2 3 3 2 2 2 2 3 3 5 6 6 7 7 6 6 6 5 5 5 4 5 5 5 5 5 5 5 6 7 8 7 6 5 4 4 4 6 7 8 8 8 7 6 6 6 6 6 6 6 6 6 6 5 5 4 4 4 3 3 2 2 2 3 4 5 5 5 5 4 4 5 5 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 6 14 21 21 21 19 14 9 5 3 4 6 7 7 7 6 7 8 7 5 4 4 5 3 2 2 2 2 3 3 5 5 5 4 5 5 5 6 7 7 7 7 8 8 8 8 7 7 6 5 4 4 5 6 7 7 5 3 2 2 2 3 6 7 7 5 3 1 0 0 1 3 7 8 5 2 -0 -1 -1 0 5 16 26 29 25 16 10 9 14 17 16 9 3 1 1 3 4 5 5 5 3 2 2 3 5 7 8 8 8 8 8 8 7 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 7 14 23 24 15 8 9 9 8 6 5 4 3 3 4 7 9 10 8 6 5 4 4 4 4 3 3 3 3 0 -4 -5 -0 2 -1 -4 -1 2 3 3 3 5 6 8 9 9 7 3 1 -0 2 5 7 7 5 4 3 3 3 3 3 4 4 5 6 7 6 4 2 1 2 3 4 5 6 5 3 1 0 2 3 3 3 2 2 2 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 3 3 4 4 4 3 3 3 4 2 -1 -1 2 5 8 10 12 13 11 8 6 5 4 4 4 4 5 6 9 12 15 18 18 13 7 4 3 4 4 4 4 5 5 6 6 6 6 6 6 6 6 6 5 5 5 4 4 4 5 5 5 5 5 6 6 7 8 8 8 8 8 8 7 7 6 5 4 4 4 4 5 5 5 5 6 6 5 5 5 5 5 5 4 4 4 4 5 6 6 7 8 7 7 6 5 5 5 5 5 5 5 5 5 4 4 4 nan
nan 4 4 4 3 3 3 3 3 3 2 2 2 2 2 2 2 3 4 6 7 9 9 10 10 9 7 5 4 5 5 6 6 6 6 6 5 5 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 3 3 4 4 3 3 3 3 3 3 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 4 6 7 7 6 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 7 7 7 5 4 4 4 5 6 7 8 8 7 6 6 5 5 6 6 6 6 7 7 7 6 6 5 4 4 4 4 4 3 3 3 4 4 5 5 5 4 5 5 5 4 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 6 10 14 15 14 14 12 10 8 6 6 6 5 4 4 5 5 5 3 2 3 5 5 3 2 3 3 3 3 4 5 6 6 6 6 6 5 6 7 7 7 7 8 7 7 6 5 5 4 4 4 3 3 4 4 5 6 4 2 1 0 1 2 5 6 5 3 0 -1 0 2 4 5 5 3 0 -3 -6 -4 2 8 15 24 31 27 16 9 10 16 19 15 7 1 -0 0 2 4 5 5 6 5 4 3 3 3 4 5 6 7 7 8 8 7 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 4 5 7 12 22 25 14 8 11 12 8 7 6 5 4 4 5 6 8 9 10 9 6 4 3 3 3 3 3 3 4 4 -0 -4 -2 4 4 1 0 2 4 3 3 4 5 6 6 6 5 3 2 2 4 7 9 8 6 4 3 3 4 4 3 3 4 4 5 5 5 4 3 3 3 3 4 6 8 8 6 3 1 1 2 3 2 2 1 2 3 3 4 4 3 3 3 4 4 3 3 3 3 3 4 4 3 3 3 2 2 2 2 2 2 3 4 5 6 7 6 6 7 7 6 5 5 4 4 5 6 7 8 10 12 12 10 7 6 6 7 8 8 10 12 16 19 20 18 14 9 5 3 3 3 3 3 4 5 6 6 6 6 5 5 6 6 5 5 5 4 4 4 4 4 5 5 5 5 5 5 6 7 7 7 8 8 8 8 8 7 7 6 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 4 4 4 4 5 5 6 6 6 6 6 6 5 5 4 4 4 4 4 5 5 4 4 4 nan
nan 4 5 5 5 4 3 3 3 2 2 2 2 2 2 2 2 3 4 5 5 7 8 9 9 9 8 6 5 5 6 6 6 6 6 6 5 5 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 3 3 3 3 3 3 3 3 3 2 2 2 3 3 4 4 3 2 3 3 4 3 2 1 1 1 2 2 3 3 3 3 3 4 3 3 3 5 6 7 7 6 6 6 6 6 5 5 5 5 5 4 4 5 5 6 7 7 7 6 5 4 5 5 6 6 6 6 6 6 5 5 5 5 6 6 6 6 7 7 7 7 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 6 5 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 6 9 13 14 11 7 6 7 6 4 4 3 3 4 5 5 4 4 4 5 5 4 4 4 4 3 2 4 5 6 7 7 7 6 7 8 8 9 8 9 9 8 7 5 4 3 3 2 2 3 3 3 3 2 2 4 5 3 0 -0 1 2 4 5 5 2 -0 -0 2 4 4 4 3 2 -1 -7 -10 -4 4 8 9 14 22 22 13 7 9 14 16 11 5 1 0 1 2 4 4 5 5 5 5 4 4 4 3 3 3 4 5 6 6 5 4 4 4 4 4 5 4 5 5 5 5 5 5 5 5 6 5 5 4 5 5 9 21 26 17 10 12 11 8 7 7 6 5 5 6 6 7 8 10 10 9 7 6 5 6 5 4 4 4 4 2 -2 -4 -1 3 4 4 4 4 4 3 3 3 4 5 5 4 3 3 4 6 8 9 8 5 3 3 3 4 4 4 4 4 4 4 4 4 4 5 4 3 3 4 6 8 9 7 4 2 1 2 3 2 2 1 2 2 3 3 4 4 3 4 4 4 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 3 5 7 9 10 11 11 12 13 13 10 7 7 8 9 8 7 7 7 8 10 11 10 9 10 11 11 12 13 16 20 22 22 18 12 7 4 2 2 3 4 4 4 4 5 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 7 7 8 8 8 8 8 8 7 7 6 6 6 6 5 5 5 5 6 6 6 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 nan
nan 4 5 6 6 5 4 3 2 2 2 2 2 2 2 2 2 2 3 3 4 5 6 7 8 8 8 7 6 6 6 6 6 6 6 6 6 5 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 3 2 2 2 2 3 4 4 3 3 3 3 4 3 1 0 0 1 2 2 3 3 4 4 4 4 3 3 4 5 6 7 6 6 6 6 6 6 5 5 4 4 4 4 4 5 6 6 7 6 6 5 5 5 5 6 6 6 5 5 5 5 5 5 5 6 6 6 6 7 7 7 8 7 7 7 6 5 4 4 4 5 5 5 4 4 4 4 4 5 5 5 5 4 3 4 4 4 4 4 4 3 3 3 3 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 5 5 4 6 12 19 15 7 4 5 2 -1 -1 1 3 4 5 5 6 7 7 7 5 3 3 5 5 4 4 5 7 7 7 7 7 6 7 10 10 10 10 10 10 9 7 6 5 4 3 1 0 0 2 3 4 2 1 2 5 5 3 2 2 4 5 5 5 2 -0 1 3 5 4 3 2 2 -3 -10 -10 -1 6 7 6 7 10 10 7 5 7 10 11 8 4 2 2 3 4 4 5 5 5 5 5 5 5 5 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 6 6 5 5 5 5 5 8 17 25 20 12 9 8 6 7 7 6 5 5 6 6 6 7 8 10 10 9 8 7 7 6 5 5 4 4 3 1 -3 -6 -4 1 5 7 6 5 4 3 3 3 4 5 6 5 4 4 6 7 7 6 4 2 2 3 4 5 5 4 4 3 3 3 4 4 4 4 3 2 3 5 7 8 7 4 2 2 3 3 2 2 1 2 2 3 3 4 4 4 4 4 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 4 6 8 10 12 13 14 16 16 16 14 11 8 8 9 10 9 8 8 7 6 7 9 10 13 15 16 17 17 18 21 22 21 17 11 6 3 1 2 2 4 4 4 4 5 5 6 5 5 5 5 5 5 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 5 6 7 7 8 8 8 8 8 8 7 7 6 6 6 6 5 5 5 6 6 6 5 5 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 nan
nan 4 5 6 7 6 5 4 3 2 2 2 3 3 3 2 2 2 2 2 3 4 5 6 6 7 7 7 7 7 7 7 6 6 6 6 6 5 5 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 4 4 4 4 4 4 4 3 2 2 3 3 3 3 3 3 3 3 4 2 1 0 0 1 2 2 3 3 4 4 4 4 4 4 4 5 6 6 6 6 5 5 5 5 5 4 4 3 4 4 5 5 6 6 6 6 6 5 5 5 5 5 6 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 8 8 7 7 5 4 4 4 4 5 4 3 3 3 3 4 4 5 5 4 3 3 4 4 4 4 3 3 3 3 3 3 2 2 2 2 2 3 3 3 3 3 4 4 4 4 4 4 5 5 5 11 18 17 11 7 4 -1 -5 -5 -1 3 6 6 6 6 8 8 7 5 3 4 6 7 7 8 9 9 8 7 7 7 7 7 8 8 8 8 8 8 9 8 8 8 7 5 3 1 -1 -0 2 5 4 2 2 6 7 5 3 3 3 4 4 4 2 2 3 5 5 4 2 2 -0 -5 -11 -8 0 6 8 7 6 5 5 5 5 6 6 6 5 4 3 3 4 5 5 5 5 5 5 5 5 5 6 6 5 4 4 3 2 2 3 3 2 2 2 2 3 3 3 4 5 5 5 5 6 6 6 6 5 5 5 5 6 14 23 22 13 7 5 5 5 6 6 6 5 6 5 5 5 7 8 9 9 8 8 7 6 5 5 5 5 5 5 2 -4 -8 -3 5 9 8 6 5 3 2 2 4 6 8 8 6 5 4 4 4 3 2 2 3 4 4 5 5 5 4 3 3 3 3 4 4 4 3 2 2 4 6 7 6 4 3 3 3 3 2 2 1 1 2 2 3 3 4 4 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 3 6 9 10 11 10 9 10 13 16 16 13 9 7 8 9 8 8 9 9 9 8 7 7 10 13 17 19 19 19 20 19 17 14 9 6 3 2 1 2 3 3 3 1 2 2 2 3 4 4 4 4 5 5 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 6 7 8 8 8 8 8 8 8 7 7 7 7 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 5 5 5 5 5 4 4 4 4 4 nan
nan 4 5 6 7 8 7 5 4 3 2 3 3 3 3 3 3 2 2 2 2 2 3 4 5 5 6 6 6 7 7 7 7 7 7 7 7 6 5 5 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 2 3 3 3 2 1 0 1 1 2 3 3 4 4 4 4 4 4 4 5 5 6 6 6 6 5 4 4 5 5 4 4 4 5 5 5 5 5 5 6 6 5 6 6 5 5 5 6 6 5 5 6 6 7 7 6 6 6 7 7 6 6 6 7 7 8 8 7 6 5 4 4 4 3 3 2 3 3 3 4 4 5 4 4 3 3 4 4 4 3 3 3 3 3 3 3 3 3 3 2 2 2 3 3 3 4 4 4 4 4 4 4 4 5 6 8 12 15 14 11 7 1 -3 -2 2 5 7 7 6 6 6 6 6 6 6 8 9 9 10 11 11 10 9 8 6 6 7 6 4 4 4 4 5 6 7 8 9 10 9 7 5 3 1 -1 2 5 5 3 3 5 7 6 4 3 2 0 1 2 5 6 6 7 5 2 2 1 -2 -8 -9 -4 2 5 7 7 7 5 5 7 7 6 4 4 5 5 4 4 5 5 6 6 7 7 6 5 5 5 6 6 6 6 5 5 4 3 3 3 3 3 3 3 2 2 3 3 4 4 5 5 6 6 6 6 5 5 5 4 5 10 20 23 17 9 5 4 4 5 6 6 6 5 5 5 5 6 7 8 9 8 8 8 8 7 6 6 5 5 5 5 0 -6 -5 4 10 9 8 6 4 3 2 3 6 8 9 7 4 2 2 2 2 2 3 3 3 4 4 6 6 4 3 3 3 3 3 3 3 3 2 2 3 4 5 5 4 3 3 3 3 2 2 2 1 1 2 2 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 4 7 10 10 8 6 4 5 7 11 12 11 8 7 8 8 7 7 7 8 10 11 10 9 9 10 13 16 17 17 16 14 11 8 5 3 2 2 2 2 3 2 0 -3 -5 -5 -4 -2 1 3 4 4 5 5 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 6 7 7 8 8 8 8 8 8 7 7 7 6 5 5 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 2 2 3 3 4 4 5 5 5 5 4 4 4 4 4 nan
nan 4 5 6 7 8 8 7 5 3 3 3 3 4 4 4 4 3 3 3 2 2 2 3 3 4 4 5 5 6 6 7 7 7 8 8 8 7 7 6 5 5 5 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 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 2 3 3 3 2 1 1 1 2 2 3 4 4 4 4 4 4 4 4 5 5 5 6 6 6 5 4 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 6 5 5 5 6 7 6 5 6 7 7 7 6 6 6 6 6 6 5 6 6 7 7 7 8 7 6 5 4 3 3 2 2 2 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 4 4 4 4 4 4 4 4 5 5 6 9 12 13 11 8 5 4 5 6 8 7 6 5 4 3 4 5 8 10 12 10 8 8 11 12 11 9 8 6 4 3 1 1 2 3 4 4 4 5 7 8 9 9 8 7 5 2 0 1 4 5 3 2 3 6 6 5 3 1 -2 -2 2 6 9 9 8 5 1 0 0 -4 -9 -6 1 4 5 6 7 7 6 6 8 7 5 4 4 6 6 5 5 5 5 6 7 8 9 8 6 5 5 5 5 6 6 7 6 6 5 4 4 4 4 3 3 3 3 3 3 3 3 4 5 5 6 6 5 5 5 5 4 4 7 14 20 19 15 10 6 5 5 6 6 6 6 6 5 4 5 6 8 10 9 7 7 8 7 6 5 5 5 5 5 3 -3 -5 2 7 8 8 6 5 3 2 2 4 6 7 5 3 1 1 2 3 3 3 3 3 3 4 6 6 5 4 3 3 3 3 3 3 3 2 2 2 3 3 3 3 3 3 3 3 2 2 2 1 1 1 2 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 3 6 8 9 8 7 5 4 4 5 6 7 7 6 6 6 5 6 6 6 6 8 12 16 16 13 12 12 13 15 15 13 10 7 5 4 3 2 2 2 2 2 2 1 -1 -3 -5 -5 -3 -2 1 3 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 5 5 5 4 4 5 5 6 7 7 7 7 7 7 8 8 7 7 7 5 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 2 2 2 3 3 4 5 5 5 5 4 4 4 4 nan
nan 4 5 5 7 8 8 7 5 4 3 3 3 4 4 5 5 4 4 4 3 3 2 2 2 3 3 3 4 4 5 6 7 7 8 8 8 8 8 7 6 6 5 5 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 2 1 2 2 2 3 3 4 4 4 4 4 4 4 4 4 4 5 5 6 6 5 4 5 5 5 5 5 5 5 5 5 5 5 6 5 4 4 5 6 6 5 5 5 6 6 6 6 6 7 7 7 6 6 6 6 5 5 5 6 6 6 7 7 8 7 5 4 3 2 1 1 2 3 4 4 4 4 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 5 5 6 8 11 13 10 8 7 8 9 9 8 6 4 3 2 2 3 4 7 11 11 9 6 6 8 10 10 9 7 5 3 0 -0 0 2 3 4 4 4 4 6 7 8 8 8 7 6 3 2 2 4 4 2 1 3 6 6 6 3 1 -1 -1 3 7 10 10 9 6 1 0 -1 -5 -7 -3 3 5 6 6 6 5 5 6 6 5 4 4 5 7 7 6 5 4 5 6 7 9 10 10 8 5 4 4 4 5 6 7 7 6 6 5 4 4 4 4 4 3 3 3 3 3 3 3 4 5 5 5 5 5 5 5 4 4 5 8 13 16 18 16 12 9 9 8 7 8 7 7 6 5 4 4 7 10 11 9 7 6 6 6 5 5 5 5 4 3 -2 -4 0 4 6 6 5 5 4 3 2 2 3 4 3 1 1 1 2 3 3 3 3 3 3 3 4 5 5 4 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 3 2 2 2 2 2 1 1 1 2 2 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 3 4 6 8 8 7 6 6 5 5 6 6 5 4 4 4 5 5 4 5 7 8 8 8 11 16 20 20 17 13 12 13 13 10 7 5 4 3 2 2 2 3 3 3 4 6 8 10 9 6 3 1 1 3 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 6 6 7 7 7 7 7 7 7 7 7 7 6 4 3 3 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 2 3 4 5 5 5 5 5 4 4 4 nan
nan 4 5 5 6 7 7 6 5 4 3 3 3 4 5 5 5 5 5 4 4 3 3 2 2 2 2 2 2 3 3 5 6 7 7 8 8 9 8 8 7 6 6 5 4 4 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 6 5 4 4 5 6 6 5 4 4 4 5 6 6 5 5 6 7 7 7 6 6 5 5 6 6 7 7 7 7 8 7 5 4 3 2 1 1 2 3 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 6 9 13 13 9 6 5 6 7 8 8 6 5 5 4 3 2 2 5 7 7 5 4 5 6 7 8 7 7 5 4 3 3 4 4 4 4 4 4 4 5 6 7 7 7 7 7 5 5 5 6 5 4 4 6 7 7 6 5 3 1 2 5 9 10 9 8 6 2 1 -2 -5 -5 -0 3 5 6 7 6 5 4 4 4 4 4 5 6 6 6 5 5 4 4 5 6 8 11 12 10 6 4 4 5 5 6 7 7 6 6 5 5 4 4 4 4 3 3 3 3 3 3 3 3 4 4 5 5 5 5 5 4 4 4 5 7 9 13 15 14 13 12 11 10 11 11 10 10 9 7 5 4 7 10 10 10 8 8 8 8 7 7 6 5 2 -1 -2 0 3 6 7 5 4 4 4 3 2 2 2 2 1 1 2 2 2 2 2 2 2 3 3 3 4 4 4 3 3 3 2 2 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 2 2 2 3 3 2 2 2 2 2 2 2 2 2 3 3 4 7 9 10 7 5 5 5 5 6 6 6 5 3 3 3 5 5 6 8 11 13 13 11 9 12 16 19 16 13 12 12 11 8 6 4 3 3 2 2 3 4 4 5 6 8 12 15 17 15 11 7 4 3 4 5 4 4 4 4 4 4 4 3 3 4 4 4 4 5 5 5 5 5 5 5 5 6 6 7 7 6 7 7 7 7 7 7 7 6 5 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 4 3 3 3 4 5 5 6 5 5 4 4 4 nan
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nan 9 10 11 11 10 10 9 9 8 8 9 10 10 10 9 7 5 4 4 6 8 10 11 12 12 12 12 12 12 14 14 15 15 13 12 10 8 7 6 7 7 9 10 11 11 11 11 12 13 15 16 16 16 15 15 14 14 14 14 15 16 17 18 18 17 17 16 15 14 14 15 17 18 20 20 20 19 18 17 16 15 12 10 9 8 9 10 11 12 13 14 14 14 13 12 12 11 11 11 10 10 11 11 11 12 12 13 13 13 13 13 13 13 14 14 14 14 14 15 15 15 15 15 15 14 14 13 13 13 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 12 12 13 13 14 14 14 14 14 14 15 15 15 14 14 14 14 14 13 13 14 15 15 13 11 8 7 8 10 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 12 12 12 12 11 10 10 11 11 11 11 11 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 10 10 10 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 10 8 7 7 7 9 11 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 8 8 8 8 10 11 11 11 10 9 8 8 8 8 9 8 8 7 6 5 4 3 3 4 6 8 10 11 11 11 11 11 11 11 11 11 10 9 7 4 0 -2 -1 2 5 8 11 12 12 12 12 12 12 13 13 13 13 13 13 13 12 12 12 12 12 12 13 13 14 14 14 14 15 15 15 15 15 14 14 13 13 14 14 15 16 17 18 19 19 19 18 18 17 17 16 16 15 16 16 17 18 20 22 24 27 31 35 38 40 40 39 38 37 37 36 33 30 27 23 20 18 17 16 15 13 11 10 10 10 10 10 10 10 10 9 6 3 1 -1 0 2 4 6 9 10 12 12 12 12 12 11 11 11 11 11 10 9 7 5 4 3 5 6 8 9 10 10 11 11 12 12 12 12 12 12 12 11 11 11 12 12 12 12 13 12 12 12 12 13 14 16 17 18 19 20 20 20 19 19 18 18 18 18 17 17 17 18 18 18 17 16 16 16 16 16 15 14 12 11 11 12 13 14 14 14 15 15 14 13 12 11 11 12 13 14 14 13 11 10 9 8 8 9 nan
nan 9 10 11 12 12 12 12 11 11 11 11 11 11 11 9 6 4 3 3 5 8 10 11 12 12 13 12 12 12 12 13 13 13 12 10 9 7 6 6 6 7 8 9 10 11 10 11 11 13 14 16 17 16 16 15 14 13 12 12 13 15 15 16 15 14 12 11 10 9 9 10 11 14 16 19 19 19 18 17 15 14 12 10 7 6 6 6 8 8 9 10 10 11 11 12 12 11 11 12 12 13 13 13 13 14 14 14 14 14 14 14 14 14 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 11 11 11 11 11 12 12 12 13 13 13 13 13 13 13 14 14 14 14 14 13 13 13 13 14 14 14 15 14 14 14 14 13 13 13 12 12 12 12 11 11 11 11 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 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 10 10 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 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 11 11 11 11 11 11 11 13 14 15 16 16 15 13 12 11 9 6 4 3 4 6 10 12 13 13 12 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 9 9 8 7 6 5 5 6 6 7 6 6 5 4 3 3 3 4 6 8 9 11 11 11 11 11 11 11 11 11 11 10 9 7 4 1 -1 -1 2 5 9 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 13 13 14 15 15 15 16 15 15 14 14 14 13 13 14 15 16 17 18 18 18 18 18 18 17 17 17 16 16 16 16 17 18 19 20 22 24 27 30 32 35 36 36 36 35 35 35 34 33 31 28 24 22 22 21 18 15 13 11 11 10 10 10 10 10 11 11 10 7 4 2 1 1 2 4 7 9 11 12 12 12 12 12 12 12 13 14 14 14 13 12 11 10 9 10 10 11 11 12 12 12 13 13 12 12 12 12 11 11 11 11 12 12 12 12 12 12 12 13 14 16 18 19 21 22 22 22 21 21 20 19 19 19 18 17 16 16 16 16 17 18 17 17 17 17 16 16 14 13 13 13 13 14 14 14 14 14 13 13 13 12 11 11 12 13 14 14 13 13 11 10 8 8 8 8 nan
nan 11 11 11 11 11 11 12 12 11 11 12 13 14 13 10 6 4 2 2 4 7 10 11 13 13 13 12 12 11 11 12 11 10 10 9 8 8 8 7 7 8 9 10 11 12 12 12 13 14 15 16 16 16 16 15 14 13 11 9 9 10 11 11 11 10 8 7 6 5 5 6 7 9 12 13 15 17 17 16 14 13 11 10 8 7 6 6 7 8 8 8 8 9 10 10 11 11 12 13 14 14 15 15 15 15 15 15 15 15 14 14 14 13 13 12 12 11 11 11 11 11 11 11 12 13 13 14 14 14 14 13 13 13 12 12 11 11 11 12 12 13 13 14 14 14 15 15 16 16 16 16 15 14 13 13 13 13 13 14 14 14 14 14 13 13 13 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 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 12 14 15 15 13 10 8 6 6 8 9 11 12 12 11 11 11 11 11 11 11 11 11 11 11 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 11 11 11 11 11 11 12 13 14 15 14 14 12 11 9 7 6 6 7 10 13 15 14 13 12 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 8 8 9 9 10 10 9 9 8 7 7 6 5 6 6 7 6 6 5 4 3 4 4 6 7 9 10 11 11 11 11 11 11 11 11 10 9 7 6 5 3 1 -0 -0 2 6 9 11 12 12 12 12 12 12 13 13 13 13 13 13 13 14 14 13 13 13 12 12 12 12 12 13 13 14 14 15 15 16 15 15 14 14 14 13 13 14 14 15 16 17 18 18 18 18 18 17 17 17 16 16 16 16 17 17 18 19 20 22 24 26 29 31 33 34 34 34 34 33 33 34 32 29 27 25 23 23 21 18 16 13 12 11 11 10 10 11 11 11 11 10 8 6 4 3 4 6 8 10 11 11 11 12 11 11 12 12 14 16 17 18 18 17 16 14 13 13 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 12 13 13 15 16 18 20 21 22 23 23 23 22 21 20 19 19 18 17 17 16 15 15 15 15 16 17 17 18 18 17 16 15 14 13 13 13 14 14 15 14 14 13 13 13 12 12 12 12 13 13 13 13 12 12 12 11 10 10 11 11 nan
nan 13 13 12 11 11 10 10 10 10 10 12 13 14 14 12 8 5 3 3 4 7 10 12 14 15 15 14 13 12 11 10 10 8 8 7 7 7 7 8 8 8 10 11 12 13 15 15 16 15 15 15 15 15 15 14 13 12 10 9 8 8 8 9 9 8 8 7 5 3 3 3 4 5 6 8 9 10 11 12 12 11 10 9 8 8 8 8 8 9 9 9 9 9 10 10 11 12 13 14 14 14 14 14 14 14 14 14 14 14 14 14 14 13 12 12 11 10 10 10 10 10 10 11 11 12 13 14 15 15 15 15 14 14 13 12 12 12 12 12 13 13 13 14 14 15 16 17 18 18 17 16 15 14 14 13 13 13 13 13 14 14 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 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 11 12 11 12 11 11 11 11 11 12 12 13 15 18 18 17 14 10 5 3 4 5 8 10 11 12 12 12 12 11 11 11 11 11 11 11 11 11 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 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 10 11 13 15 17 17 16 13 12 10 10 10 11 11 11 11 11 11 11 10 10 9 9 8 8 9 10 11 12 11 10 9 9 8 8 8 9 9 9 9 9 8 7 7 6 7 8 9 9 10 10 11 11 11 11 11 11 11 11 9 7 4 2 0 0 1 2 4 6 8 10 11 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 14 14 13 13 12 12 12 12 12 12 13 14 14 14 15 16 15 15 15 14 14 13 13 13 14 15 16 17 18 18 18 18 17 17 16 16 16 16 16 16 16 17 17 18 19 20 22 23 26 28 30 32 33 33 33 33 33 34 33 31 29 27 24 23 22 20 18 16 14 13 12 12 11 11 11 11 11 10 9 6 4 4 5 7 9 11 11 12 12 12 11 11 11 12 13 15 16 17 17 16 15 14 14 13 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 11 12 12 13 15 16 18 19 21 22 24 24 24 23 22 21 20 19 18 18 17 17 16 15 14 14 13 13 14 15 16 16 17 17 17 16 14 13 13 12 13 14 14 14 14 13 13 13 13 13 12 12 13 13 13 12 12 11 11 11 11 12 13 13 14 nan
nan 14 14 14 13 11 11 10 9 9 10 11 13 15 15 13 10 8 6 6 9 11 13 15 17 18 18 16 14 12 11 9 9 8 7 6 5 5 6 7 8 8 9 11 13 14 16 17 17 16 15 14 13 13 13 13 12 11 10 9 9 9 9 10 9 9 9 8 6 4 3 2 2 2 3 4 4 5 7 7 8 8 8 9 9 9 9 10 10 10 10 10 11 11 11 12 12 13 13 13 13 12 12 12 12 12 12 12 13 13 13 13 13 12 12 11 11 10 10 10 10 10 11 12 12 13 14 15 15 15 15 15 15 14 14 13 12 12 12 12 13 13 13 14 14 15 17 17 18 18 17 16 15 14 14 13 13 13 13 14 14 14 14 13 12 12 12 12 13 13 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 11 11 11 11 11 11 11 12 11 11 11 11 11 11 12 12 12 12 13 15 17 19 20 19 15 11 6 4 3 4 7 9 11 12 12 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 12 12 11 11 11 11 11 12 12 12 12 12 11 11 10 10 10 10 11 11 12 11 11 10 10 9 10 10 12 13 15 16 15 15 13 12 11 11 11 11 11 11 11 11 11 11 11 11 10 9 9 8 8 9 11 11 11 11 10 9 8 8 9 9 10 10 10 10 10 9 9 9 9 10 10 11 11 11 11 10 10 10 10 10 10 9 8 5 2 -1 -1 0 3 5 8 9 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 14 14 14 13 13 13 12 12 12 12 12 13 13 14 14 15 15 15 15 15 14 14 13 13 13 14 14 15 16 17 18 18 18 17 16 16 16 15 15 15 15 16 16 17 17 18 19 20 22 24 25 27 29 30 31 32 33 34 35 35 34 32 30 28 25 24 22 20 18 17 16 14 14 13 12 12 12 12 10 9 6 3 3 5 7 10 11 12 12 12 12 12 12 12 12 12 13 14 14 14 14 13 13 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 11 12 13 14 16 18 20 22 24 24 25 25 24 24 22 21 20 19 18 17 16 15 15 15 14 14 13 12 12 12 13 14 14 15 15 14 14 14 13 13 13 13 13 14 14 14 14 13 13 13 13 12 12 12 13 13 13 13 12 12 12 11 12 12 13 14 13 nan
nan 15 15 15 13 11 9 8 8 9 10 11 13 14 15 13 11 11 10 10 12 14 16 17 19 20 18 17 14 12 11 10 9 8 7 7 5 4 5 5 6 8 9 11 13 14 16 16 15 14 13 12 12 11 11 11 11 10 9 9 10 10 11 11 11 11 10 10 9 7 5 4 2 2 1 2 3 3 5 6 7 8 8 9 9 10 10 11 11 12 12 12 12 13 13 13 12 12 11 11 11 10 9 9 9 9 9 10 11 12 12 12 12 12 12 12 11 11 11 12 12 12 13 13 14 14 14 15 15 15 15 15 14 14 14 13 13 13 13 12 12 12 13 13 14 15 16 17 17 17 16 15 14 14 13 13 12 12 13 13 14 14 13 13 13 12 13 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 12 12 12 12 13 13 14 16 17 20 21 19 14 9 5 2 3 7 10 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 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 10 9 9 10 10 11 11 12 12 12 11 10 10 10 10 11 11 12 12 12 12 11 12 12 12 12 13 12 12 12 11 11 11 11 11 10 9 9 8 8 9 10 10 9 9 8 8 8 8 8 9 10 10 10 10 10 10 10 11 11 11 11 11 11 10 9 8 8 7 7 7 6 5 4 2 0 -0 2 5 8 10 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 14 14 14 14 13 13 12 12 12 12 12 13 13 14 14 15 15 15 15 15 14 14 14 13 13 13 14 15 16 17 18 18 18 17 17 16 16 15 15 15 15 15 16 16 16 17 18 18 20 22 23 25 26 28 30 31 32 34 35 36 36 35 33 31 29 27 25 23 22 21 19 17 16 15 15 14 13 12 11 8 5 4 4 5 8 10 11 12 12 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 11 12 13 15 17 19 21 22 24 25 26 26 26 25 24 22 21 20 18 17 16 16 16 15 14 14 13 13 12 11 11 12 12 13 14 14 13 13 12 11 12 13 13 14 15 15 14 14 13 12 12 12 12 13 13 13 12 12 13 13 13 12 12 13 13 14 14 14 13 12 nan
nan 17 17 17 12 8 7 6 7 10 11 12 13 13 12 11 9 9 10 12 14 14 15 15 17 18 16 14 12 10 9 9 9 9 8 7 7 6 5 5 5 6 8 10 12 14 14 14 13 13 12 11 11 10 11 11 11 10 9 9 9 10 11 11 11 11 11 11 10 9 8 7 6 5 4 4 4 5 6 7 8 9 10 10 10 10 11 11 12 12 13 14 14 14 14 13 12 11 11 10 10 8 8 8 8 8 9 10 10 11 11 12 12 12 13 13 13 13 13 14 14 15 15 15 15 15 15 15 15 14 14 14 13 13 14 14 14 13 13 13 13 12 12 13 14 15 16 16 16 15 14 13 13 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 13 13 13 13 15 19 21 20 16 11 4 2 4 7 10 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 10 10 11 12 12 13 13 12 11 10 10 10 10 10 11 11 11 12 12 12 12 11 11 10 10 10 10 10 10 10 11 11 11 12 13 13 13 13 12 12 11 11 11 11 10 9 8 8 8 8 8 8 7 6 6 6 6 7 8 9 9 10 10 10 10 11 11 11 11 11 11 10 8 6 5 4 4 4 4 4 4 4 4 4 4 5 7 10 11 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 13 13 12 12 12 12 12 13 13 14 14 14 14 15 15 15 15 14 14 13 13 13 14 15 16 17 17 18 18 18 17 16 16 15 15 15 15 15 15 15 16 16 16 17 18 19 20 22 24 26 27 29 31 33 34 35 35 35 35 34 32 30 28 26 25 23 22 21 19 18 17 16 15 14 12 9 6 4 4 6 8 10 11 12 13 13 14 14 14 14 14 14 14 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 12 13 15 17 19 21 23 24 25 26 27 27 27 26 26 24 22 21 19 18 17 16 16 15 15 15 15 14 13 12 11 10 10 11 13 14 15 15 14 13 12 11 10 11 12 13 14 15 15 13 13 12 11 10 11 12 13 14 14 13 12 12 12 12 12 13 15 16 16 15 13 12 10 nan
nan 18 17 14 10 7 6 6 9 12 14 14 13 12 10 7 7 7 8 10 11 12 13 13 14 13 13 12 10 9 8 8 8 8 9 8 8 8 7 6 6 6 8 10 12 14 14 14 13 12 11 10 10 10 11 11 11 11 10 10 10 9 10 10 10 10 10 10 11 11 10 10 10 9 8 8 8 8 9 9 10 11 11 11 11 11 11 12 12 13 14 14 15 15 14 13 12 11 11 11 10 9 9 8 8 8 9 10 10 11 11 11 12 13 13 14 14 14 14 14 14 14 14 15 14 14 13 13 13 12 12 12 12 13 13 13 13 13 13 13 13 13 13 14 15 15 15 15 15 13 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 11 11 12 12 12 12 12 12 12 12 11 12 12 12 12 12 12 12 12 12 12 12 12 14 17 20 21 19 13 6 0 0 1 6 10 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 10 10 11 11 12 12 12 12 12 11 11 11 11 11 10 10 10 10 11 11 11 12 12 12 12 12 11 11 11 10 10 9 9 10 10 11 12 12 12 12 12 12 12 11 11 10 9 8 7 7 7 7 5 4 4 4 5 6 7 7 8 8 9 9 10 11 11 11 10 10 9 7 6 4 2 1 2 3 4 5 6 7 7 8 8 9 10 11 11 12 12 12 12 12 12 12 11 11 12 12 12 12 12 12 12 12 12 13 13 13 13 14 14 14 14 13 13 13 12 12 12 12 12 12 13 14 14 14 15 15 15 15 15 14 14 13 13 14 14 15 16 17 18 18 18 17 17 16 15 15 15 15 15 15 15 15 15 16 16 17 17 18 20 21 22 24 26 28 30 31 33 34 34 35 34 34 33 31 30 28 26 25 23 22 21 19 18 17 16 13 9 7 5 5 6 9 11 12 13 13 14 15 15 15 15 14 14 14 13 13 12 12 12 11 11 11 11 11 11 12 13 15 17 19 20 22 24 26 27 27 27 27 26 26 25 24 23 22 21 19 18 17 16 15 15 15 15 15 15 14 14 12 11 10 10 10 12 14 15 15 15 14 13 12 12 12 12 13 14 13 12 11 11 11 11 11 11 12 14 15 15 15 14 14 13 13 14 14 14 15 15 15 13 11 10 9 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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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25 23 24 26 27 27 26 28 33 32 28 30 36 34 28 26 27 25 24 23 24 25 26 31 32 33 35 36 35 32 29 28 31 35 37 32 30 31 29 26 28 31 33 36 36 33 29 25 23 26 28 25 21 17 14 11 7 6 6 7 7 4 2 1 0 1 2 2 2 3 4 4 2 0 0 1 3 3 2 1 2 2 3 3 3 3 4 5 5 4 4 4 5 5 6 6 6 6 7 6 7 8 9 8 7 8 7 5 4 4 4 3 3 3 4 4 3 1 2 2 2 1 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 9 19 6 24 79 64 9 1 2 0 0 96 507 830 950 1139 1376 1532 1613 1629 1573 1536 1453 1397 1439 1390 1400 1492 1605 1712 1763 1775 1759 1763 1855 1958 2246 2093 2258 1765 1330 757 335 121 33 12 11 14 23 45 71 104 111 19 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 3 9 11 9 4 0 0 0 0 0 0 0 0 0 0 0 1 0 0 3 6 7 10 11 11 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 21 53 112 230 428 614 736 926 1045 1105 1099 1194 1631 2229 2754 3077 3275 3316 3216 3073 2986 2916 2771 2615 2552 2541 2531 2589 2731 2801 2766 2598 2316 2079 2009 2094 2230 2285 2254 2185 2051 1928 1849 1720 1641 1502 1305 1355 1360 1292 1132 1032 1019 1030 1017 1005 1007 975 924 893 888 844 761 742 798 876 1080 1224 1481 1869 2115 2167 2186 2163 1991 1774 1610 1447 1223 1035 916 1261 1920 2436 2741 3101 3387 3495 3330 2958 2637 2551 2768 2976 2974 2655 2762 3058 2989 2787 2692 2445 1977 1534 1435 1748 2342 2910 3027 2803 2743 2680 2583 2344 2122 2053 2067 2095 2248 2355 2428 2331 2138 2061 2019 1985 1988 2056 2180 2499 2712 2836 2796 2619 2508 2435 2316 2151 1977 1877 1870 1881 2109 2394 2526 2467 2227 2435 2885 3103 2616 2079 1977 2057 2007 1992 2101 2125 2195 2192 1984 1605 1560 1488 1560 1575 1463 1307 1267 1338 1478 1763 2150 2308 2083 1848 1844 1755 1699 1844 1755 1670 1661 1700 1729 1713 1694 1751 1934 2330 2815 3235 3385 3338 3299 3288 3136 3258 3589 3829 3800 3542 3254 3029 2796 2378 1860 1440 1372 1671 1860 1998 2161 2331 2505 2666 2751 2679 2512 2235 2029 1806 1812 1967 2104 2049 1961 1883 1734 1566 1491 1454 1451 1584 1871 1966 1629 1579 1602 1602 1707 1891 2035 2115 2126 2045 1859 1611 1386 1359 1535 1809 2024 2086 2092 2074 1970 1788 1770 2029 2322 2148 1732 1773 2026 2154 2123 2117 2241 2220 2122 2083 1964 1832 1653 1504 1415 1501 1654 1700 1570 1536 1565 1587 1717 1810 1763 1778 1853 1874 1817
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16 12 9 8 10 10 11 13 14 12 10 9 8 8 7 6 5 5 6 6 7 7 8 10 12 13 14 15 15 15 14 14 14 13 13 12 11 10 11 10 10 10 10 10 10 10 11 12 13 14 13 13 12 12 11 11 11 11 11 11 11 11 11 11 12 12 13 14 15 15 15 14 12 12 10 9 9 8 8 8 8 8 8 8 8 9 8 8 8 9 9 9 8 7 6 6 5 4 4 3 3 3 3 3 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 54 129 275 479 678 781 723 638 338 92 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 17 49 135 284 489 690 810 843 857 895 948 1079 1196 1209 1148 1075 1036 1067 1107 1181 1450 1696 1850 1906 1874 1778 1635 1472 1379 1255 1169 1086 1022 989 978 965 949 956 991 1001 1013 1026 1040 1079 1130 1170 1205 1231 1552 1848 2025 2072 2071 2060 2143 2291 2265 2123 1992 1926 1826 1773 1737 1722 1739 1764 1776 1790 1780 1789 1817 1903 2004 2067 2089 2106 2168 2212 2142 2069 2035 2015 1997 1979 1952 1895 1867 1851 1862 1878 1934 2233 2579 2675 2725 2786 2812 2800 2771 2738 2702 2681 2691 2712 2696 2611 2455 2438 2475 2502 2468 2423 2375 2358 2346 2329 2341 2387 2416 2433 2444 2445 2431 2424 2468 2552 2632 2708 2776 2775 2685 2697 2634 2585 2616 2642 2656 2676 2702 2718 2702 2621 2550 2475 2401 2327 2230 2109 1995 1908 1858 1848 1793 1791 1829 1904 2034 2175 2135 2257 2305 2300 2260 2323 2527 2702 2793 2830 2752 2565 2414 2303 2249 2216 2102 2105 2164 2232 2192 2064 1989 1972 1939 1900 1872 1742 1670 1564 1507 1470 1453 1460 1460
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9 7 9 10 10 11 11 12 12 13 13 12 9 9 8 6 4 4 5 5 5 5 6 8 8 9 10 10 11 9 9 9 9 9 10 9 9 8 8 8 8 9 9 8 8 9 10 11 12 13 13 13 14 14 13 12 12 11 12 11 11 11 10 7 6 5 6 8 11 13 10 9 8 8 8 8 8 8 8 8 7 6 6 6 6 6 6 5 4 5 5 4 3 3 3 2 2 2 2 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 47 107 224 266 297 333 290 142 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 2 33 119 263 437 604 774 970 1145 1397 1540 1572 1539 1484 1416 1347 1308 1304 1277 1238 1213 1171 1090 981 870 783 727 688 654 614 576 540 555 819 1307 1657 1832 1845 1946 2091 2157 2199 2311 2401 2329 2410 2558 2669 2824 2995 3066 3063 3090 3081 3006 2836 2599 2443 2319 2213 2129 2077 2056 2067 2090 2059 2060 2034 1962 1876 1816 1771 1692 1690 1657 1628 1599 1592 1641 1690 1625 1601 2057 2750 3076 3061 2895 2722 2588 2495 2428 2324 2281 2233 2207 2168 2174 2297 2386 2554 2556 2541 2559 2554 2521 2514 2533 2509 2486 2466 2418 2392 2357 2301 2228 2184 2222 2138 2082 2015 1951 1907 1870 1864 2022 2152 2254 2264 2192 2094 2002 1920 1875 1804 1745 1722 1727 1726 1688 1628 1596 1585 1595 1587 1613 1706 1777 1751 1662 1626 1572 1528 1522 1502 1430 1334 1285 1251 1266 1322 1372 1345 1313 1341 1366 1370 1327 1389 1413 1366 1351 1409 1476 1426 1369 1387 1432 1465 1498 1551
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9 9 10 10 10 10 10 10 10 9 10 11 11 11 11 9 7 6 5 5 4 4 4 5 5 4 4 4 4 4 3 3 3 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 2 2 2 2 3 3 2 3 2 2 3 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 12 13 15 17 19 23 26 26 25 24 24 25 24 21 19 18 17 17 17 15 16 17 18 18 19 19 19 18 17 16 14 13 12 12 11 12 12 12 13 14 14 14 13 11 8 6 4 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 4 11 22 36 55 76 98 122 141 154 156 151 143 146 165 169 221 382 657 900 1016 1034 955 825 685 541 477 498 507 515 546 575 483 351 267 244 272 371 546 722 972 1269 1550 1816 2035 2169 2286 2399 2492 2515 2377 2006 2157 2479 2823 3119 3324 3140 2667 2358 2089 1855 1650 1476 1352 1286 1258 1308 1395 1468 1507 1493 1565 1707 1829 1907 2014 2199 2352 2410 2382 2299 2211 2147 2099 2073 2039 1997 1965 1944 1917 1871 1814 1725 1646 1573 1507 1453 1411 1387 1379 1374 1367 1355 1331 1300 1276 1238 1177 1099 1025 966 918 824 816 787 762 780 781 789 787 762 785 806 784 795 733 685 758 836 884 942 965 979 1015 995 959 946 951 1018 1072 1132 1198 1288 1392 1434 1486
10 10 10 11 11 10 10 9 9 9 9 10 10 11 10 8 7 6 4 4 4 4 4 4 4 4 4 4 4 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 2 2 2 2 2 3 2 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 1 2 4 7 11 14 16 17 20 23 26 27 27 26 24 24 25 26 24 22 21 21 20 18 17 17 18 19 19 20 21 20 20 19 18 17 16 15 13 11 12 13 13 14 15 16 15 13 11 8 6 5 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 7 16 24 36 57 79 104 127 141 143 134 121 117 129 123 132 230 450 725 941 1053 1010 916 798 672 584 568 592 637 689 741 698 569 429 330 336 367 429 555 729 919 1135 1411 1686 1826 1990 2205 2383 2489 2399 2239 2276 2378 2513 2761 3430 3500 3208 2808 2425 2119 1864 1652 1493 1372 1311 1318 1368 1414 1439 1421 1412 1455 1523 1588 1677 1919 2199 2357 2390 2343 2270 2193 2127 2097 2065 2026 1985 1947 1905 1850 1802 1732 1653 1580 1523 1472 1431 1405 1394 1385 1371 1354 1335 1312 1297 1263 1208 1146 1080 1021 977 896 835 812 839 830 778 791 795 745 674 737 848 928 827 758 787 852 914 901 918 966 975 935 868 833 904 974 1033 1095 1175 1264 1373 1479 1558
10 10 10 10 10 10 10 8 8 8 8 9 10 13 13 10 8 6 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 2 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 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 1 3 6 9 12 16 18 20 23 26 27 26 26 25 24 24 25 25 24 22 21 21 20 19 19 19 19 19 19 20 22 21 21 21 20 19 19 18 16 14 14 14 14 14 15 15 15 13 11 9 8 6 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 8 16 28 46 69 97 119 127 123 109 89 82 88 91 87 139 298 556 838 1022 1034 971 879 780 684 627 634 661 696 741 765 727 618 473 419 388 401 463 557 688 876 1082 1294 1487 1673 1895 2134 2354 2419 2421 2396 2367 2379 2357 3087 3506 3581 3272 2751 2369 2093 1858 1653 1493 1390 1332 1298 1327 1343 1330 1277 1251 1276 1279 1332 1611 1970 2232 2357 2373 2318 2230 2150 2113 2084 2043 1983 1893 1870 1832 1791 1733 1659 1592 1534 1485 1447 1419 1404 1396 1383 1366 1355 1343 1324 1290 1245 1197 1135 1073 1018 958 899 860 921 804 736 745 814 836 690 722 826 953 907 772 805 933 944 942 980 1026 1033 1003 896 887 931 969 1010 1084 1199 1288 1402 1528 1622
10 9 9 9 10 10 10 9 10 10 8 8 10 12 12 10 7 6 4 4 4 4 4 4 4 4 4 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 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 9 12 16 19 22 24 27 28 25 24 24 24 24 24 24 23 22 21 21 20 18 19 20 20 20 20 21 22 22 22 21 21 21 21 20 19 17 16 16 15 15 14 16 15 15 14 13 12 11 9 7 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 4 8 13 22 38 60 90 115 119 104 83 62 51 51 56 58 86 186 387 683 944 1033 1013 939 840 746 696 677 665 658 664 695 775 846 700 566 473 417 402 427 513 647 810 988 1158 1337 1569 1834 2113 2332 2458 2470 2409 2426 2351 2663 3087 3497 3613 3101 2653 2287 1997 1768 1598 1479 1401 1338 1278 1223 1188 1157 1154 1188 1158 1059 1289 1668 2030 2286 2390 2351 2270 2199 2149 2112 2073 2022 1926 1877 1842 1805 1756 1688 1615 1556 1506 1457 1420 1398 1384 1366 1377 1382 1372 1349 1314 1284 1254 1194 1120 1047 984 936 867 862 796 750 755 796 828 773 765 809 847 826 793 833 951 964 1007 1094 1129 1105 1095 1037 998 980 983 1023 1084 1176 1280 1390 1493 1573
8 7 8 8 9 9 9 9 9 9 8 8 10 12 11 9 8 6 4 3 4 4 4 4 4 4 4 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 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 1 1 3 5 8 10 12 15 18 20 24 26 26 25 24 24 23 24 25 23 21 21 21 21 19 20 22 23 23 24 23 25 25 23 22 21 21 21 22 22 20 19 18 17 15 14 17 17 17 17 17 17 17 17 16 14 10 6 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 6 8 10 18 34 64 97 116 116 97 68 49 33 29 30 33 51 105 241 510 782 966 1040 1017 922 826 770 722 688 661 626 591 714 854 841 734 600 484 418 384 401 462 562 698 867 1095 1294 1507 1767 2057 2312 2447 2433 2402 2308 2270 2468 2987 3566 3516 3076 2551 2147 1899 1737 1626 1553 1473 1356 1249 1180 1151 1160 1194 1163 1022 1101 1411 1808 2206 2393 2401 2341 2266 2199 2136 2080 2041 1996 1946 1888 1825 1766 1702 1641 1581 1521 1466 1422 1398 1385 1368 1384 1397 1394 1377 1340 1312 1276 1226 1160 1085 1017 983 924 871 834 821 813 823 814 804 811 837 863 882 902 920 963 997 1047 1115 1157 1156 1155 1128 1097 1074 1046 1050 1060 1096 1184 1290 1380 1427
8 7 7 9 10 10 9 9 8 8 9 10 11 11 10 9 8 7 4 3 3 4 4 4 4 4 4 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 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 1 2 3 5 7 9 10 12 14 16 19 23 24 24 24 24 23 23 24 25 23 20 20 22 21 20 23 25 26 27 26 26 27 27 25 23 22 22 21 21 22 21 20 19 17 16 15 18 19 19 19 20 21 20 20 19 17 15 10 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 13 22 28 49 77 99 113 114 92 61 39 24 17 15 15 21 45 130 311 554 797 984 1077 1040 956 869 795 742 699 640 584 680 833 927 907 793 618 515 432 383 376 399 441 541 772 971 1165 1400 1698 2007 2233 2334 2359 2264 2075 2047 2534 3321 3724 3546 3015 2504 2187 1983 1859 1763 1664 1546 1431 1346 1286 1226 1213 1153 1082 1094 1248 1519 2019 2320 2432 2412 2325 2258 2181 2122 2083 2038 1975 1901 1823 1769 1715 1661 1599 1541 1494 1449 1422 1404 1386 1389 1409 1417 1383 1350 1322 1293 1256 1208 1135 1077 1039 980 922 882 878 866 853 848 854 872 910 952 986 1032 1035 1015 1018 1063 1098 1141 1181 1202 1214 1222 1173 1131 1099 1095 1120 1172 1241 1324 1351
9 7 8 9 10 10 10 9 8 7 9 11 13 13 10 9 8 7 5 3 3 3 4 4 4 4 3 4 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 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 1 3 5 8 9 9 9 11 13 16 20 21 23 23 23 22 21 21 25 28 26 24 22 22 23 24 25 28 29 29 28 28 27 26 26 25 25 26 24 23 23 22 20 19 19 19 16 17 20 20 21 22 23 21 19 17 16 16 15 12 9 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 14 36 55 80 104 120 127 122 89 58 33 18 12 10 9 9 23 66 164 315 512 757 952 1025 1027 977 898 817 761 687 635 658 741 871 998 988 808 662 548 456 404 406 402 410 527 696 864 1059 1318 1562 1826 2127 2308 2300 2120 1947 2266 3105 3815 3938 3584 3072 2661 2367 2172 2033 1906 1766 1627 1509 1421 1324 1258 1209 1176 1166 1197 1371 1767 2141 2406 2508 2422 2352 2257 2175 2122 2068 1981 1893 1831 1794 1748 1680 1615 1585 1553 1510 1484 1469 1457 1450 1448 1440 1413 1382 1344 1305 1276 1245 1174 1105 1043 998 975 934 920 919 922 932 946 962 998 1054 1091 1114 1117 1101 1063 1098 1140 1178 1205 1247 1297 1297 1237 1179 1157 1189 1221 1257 1323 1382 1404
9 8 9 8 9 10 10 9 8 7 9 12 13 13 12 9 8 8 6 4 3 3 4 4 4 3 3 4 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 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 1 3 7 11 12 9 8 10 13 18 20 21 22 23 23 22 21 22 23 24 25 26 26 25 28 27 27 29 30 31 30 30 29 28 27 27 27 27 26 27 25 23 20 21 24 23 19 16 18 19 20 22 23 22 20 17 16 17 19 21 20 17 12 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 8 31 63 104 142 163 158 149 108 68 37 19 13 9 4 5 11 31 78 166 304 482 717 923 1052 1083 1025 925 848 757 685 661 687 785 981 1054 991 872 730 593 482 367 327 348 393 473 590 748 937 1124 1408 1795 2111 2250 2215 2117 2236 2780 3481 3889 3865 3587 3220 2861 2585 2373 2182 1991 1806 1639 1518 1402 1307 1247 1218 1214 1217 1282 1469 1820 2299 2580 2538 2443 2328 2223 2151 2105 2014 1930 1863 1826 1794 1741 1688 1656 1629 1584 1553 1537 1508 1486 1477 1456 1417 1369 1330 1316 1288 1255 1200 1131 1060 1016 1015 986 963 970 999 1016 1027 1038 1059 1112 1153 1157 1170 1195 1063 1061 1138 1199 1229 1292 1315 1301 1259 1214 1211 1278 1320 1360 1399 1410 1396
10 10 9 7 8 10 10 9 8 8 10 14 13 12 11 10 8 8 6 4 3 3 4 4 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 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 1 2 5 8 9 7 7 10 13 16 18 20 22 23 24 24 25 24 19 15 14 17 22 25 29 29 29 29 30 30 32 34 31 31 30 28 26 26 25 29 27 25 24 23 23 23 19 16 16 17 18 20 22 25 23 20 20 22 25 27 27 26 22 15 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 12 44 109 183 229 227 206 160 109 67 40 25 17 8 4 6 16 43 99 179 305 499 739 974 1117 1114 1045 948 838 741 676 662 721 876 1031 1116 1086 957 793 656 472 332 324 337 354 404 502 635 800 1055 1395 1747 2054 2282 2354 2402 2571 2912 3379 3801 3860 3591 3256 2958 2708 2479 2247 2022 1823 1649 1482 1350 1298 1290 1286 1271 1260 1286 1455 2044 2361 2482 2452 2344 2241 2165 2107 2014 1951 1890 1841 1813 1772 1746 1714 1682 1637 1585 1552 1536 1533 1495 1454 1423 1389 1357 1327 1295 1266 1229 1166 1076 1034 1032 1029 1025 1033 1046 1053 1067 1084 1105 1137 1164 1173 1201 1219 1149 1112 1153 1233 1236 1248 1250 1267 1301 1312 1316 1318 1345 1384 1387 1349 1294
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7 10 10 11 13 14 14 14 15 15 14 13 12 11 10 10 10 8 7 6 6 5 4 3 2 2 2 2 2 2 2 2 2 2 2 2 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 1 2 2 3 4 4 4 3 3 3 4 5 8 6 4 4 4 6 10 13 18 21 24 29 35 39 35 24 15 13 12 11 10 10 10 11 12 11 12 14 17 20 22 23 25 29 32 33 30 29 28 27 26 24 22 19 18 16 17 18 20 21 24 28 31 34 34 30 26 24 20 18 17 19 22 24 27 28 26 23 19 17 16 12 8 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 13 48 139 273 418 546 646 708 709 708 703 710 721 719 708 699 709 735 762 775 778 752 715 714 742 767 815 993 992 694 402 350 350 419 536 685 812 908 1041 1189 1334 1458 1594 1784 1937 2047 2103 2156 2226 2281 2348 2425 2467 2470 2440 2395 2325 2273 2261 2270 2264 2242 2203 2118 1992 1862 1759 1688 1619 1617 1653 1697 1724 1807 1860 1863 1805 1705 1607 1525 1432 1404 1428 1461 1460 1357 1316 1377 1443 1390 1346 1308 1290 1276 1284 1351 1445 1499 1528 1550 1545 1498 1450 1409 1382 1365 1362 1409 1473 1519 1578 1621 1586 1566 1617 1684 1735 1772 1909
12 10 9 10 13 14 15 15 15 16 15 13 12 12 11 10 10 9 8 6 5 4 4 3 3 2 2 2 2 2 2 2 2 2 2 2 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 1 2 2 2 3 4 4 3 3 3 3 4 6 6 5 4 5 9 14 17 20 22 25 29 30 38 32 22 15 12 12 11 11 11 11 12 12 11 11 12 14 17 19 22 24 27 31 33 31 31 30 29 28 27 25 23 21 19 19 20 21 23 25 26 28 31 33 29 30 29 26 23 21 21 22 26 29 32 32 30 26 22 18 15 11 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 3 11 27 78 180 315 449 556 628 648 658 653 649 654 648 639 640 645 662 701 725 728 717 676 663 709 761 851 965 972 846 646 454 313 291 392 546 660 770 905 1026 1142 1269 1428 1615 1737 1841 1926 2007 2099 2193 2298 2378 2435 2469 2460 2381 2307 2271 2267 2253 2219 2163 2103 2006 1878 1759 1681 1620 1561 1589 1709 1866 1855 1871 1883 1876 1832 1719 1592 1481 1453 1485 1536 1588 1543 1429 1383 1452 1568 1522 1454 1383 1315 1262 1247 1337 1466 1500 1495 1490 1467 1429 1347 1315 1312 1301 1287 1316 1397 1499 1579 1627 1614 1627 1699 1807 1916 1953 2067
14 11 8 8 12 14 15 16 17 17 15 14 13 12 11 10 10 9 8 6 5 4 3 3 3 2 2 2 2 2 2 2 1 2 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 4 4 4 4 4 3 4 6 7 7 7 9 14 17 19 21 24 24 20 19 29 27 19 12 10 11 12 12 12 12 12 12 11 11 12 14 15 17 20 24 27 29 32 33 32 31 30 30 29 27 25 25 23 21 20 21 25 27 28 28 29 34 34 36 36 34 31 25 23 23 25 29 35 39 39 36 30 24 19 14 9 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 23 51 120 228 351 461 532 569 579 573 566 562 558 554 548 538 546 613 655 655 675 677 654 699 802 879 961 974 888 783 647 481 390 405 491 570 619 722 832 957 1118 1306 1506 1592 1667 1766 1864 1949 2046 2149 2242 2297 2289 2312 2290 2253 2205 2146 2095 2075 2016 1940 1847 1748 1655 1583 1492 1439 1460 1574 1719 1785 1812 1807 1756 1671 1666 1615 1551 1532 1568 1587 1554 1469 1393 1379 1470 1575 1541 1473 1396 1344 1305 1271 1281 1332 1365 1355 1346 1391 1402 1358 1313 1298 1266 1268 1320 1427 1561 1657 1678 1705 1766 1876 2013 2113 2163 2240
14 10 7 6 10 15 16 17 17 15 15 13 12 12 11 10 10 9 8 7 6 5 4 3 3 2 2 2 2 2 2 2 2 2 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 1 2 2 2 2 1 3 3 4 4 5 4 5 6 7 8 10 14 17 17 18 20 20 18 20 22 22 19 16 13 10 11 13 13 13 12 11 12 12 12 13 14 16 18 21 25 27 30 33 34 32 31 31 32 32 27 23 22 23 21 19 19 22 26 28 28 28 34 35 35 34 33 31 26 24 22 23 27 34 43 44 43 40 35 26 19 13 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 1 4 16 33 82 165 273 383 455 493 506 506 499 484 474 463 458 469 503 533 544 595 660 665 589 611 608 686 825 907 903 841 763 655 572 550 557 538 529 567 660 813 1029 1227 1426 1504 1504 1539 1655 1760 1883 2028 2142 2172 2089 2122 2127 2085 2019 1940 1921 1874 1815 1751 1680 1612 1570 1522 1454 1388 1359 1425 1479 1534 1577 1592 1526 1475 1497 1517 1535 1565 1597 1572 1516 1436 1351 1310 1403 1497 1458 1376 1368 1382 1338 1212 1119 1112 1143 1163 1211 1266 1305 1358 1416 1409 1416 1465 1527 1605 1755 1839 1886 1938 2001 2074 2189 2228 2216 2176
12 9 7 6 8 12 15 15 15 14 15 14 13 11 10 10 10 8 8 7 6 5 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 5 5 4 4 5 5 5 6 8 11 14 16 17 18 17 16 14 19 20 16 14 14 14 11 12 13 13 14 13 12 13 13 13 13 15 17 20 24 27 30 32 35 39 37 34 33 32 33 29 22 20 20 21 19 19 22 25 28 29 29 34 36 34 31 30 29 28 26 23 21 23 29 38 43 47 48 45 38 29 19 11 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 8 23 55 116 212 316 388 431 451 458 455 433 415 401 398 408 413 424 480 572 609 532 463 445 426 482 603 717 792 808 767 696 625 571 544 500 490 514 572 710 938 1151 1296 1353 1335 1300 1426 1556 1686 1806 1897 1994 1958 1954 1942 1898 1849 1719 1668 1638 1616 1599 1552 1539 1519 1482 1431 1371 1329 1331 1325 1319 1324 1361 1332 1326 1345 1407 1512 1602 1597 1543 1470 1381 1256 1191 1215 1261 1268 1256 1300 1336 1229 1029 875 853 958 1036 1091 1110 1139 1281 1451 1548 1661 1784 1878 1917 1980 2013 2048 2098 2129 2135 2126 2076 1988 1874
9 8 6 4 6 10 12 12 13 15 16 15 13 11 10 10 10 9 8 6 6 5 4 3 2 2 2 2 2 2 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 6 7 5 4 4 4 4 4 7 10 12 13 16 15 13 12 14 18 16 13 12 13 14 14 14 14 14 14 14 14 15 14 13 13 13 16 21 26 30 33 35 37 42 41 37 35 34 34 29 24 21 20 20 19 19 20 23 27 31 33 35 35 34 32 30 31 31 28 25 21 20 24 32 39 47 54 56 49 40 29 19 11 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 2 10 29 67 146 237 315 372 407 421 425 411 392 374 362 353 361 402 444 442 406 354 334 314 310 334 385 484 584 639 646 617 561 506 461 433 432 462 554 647 823 1029 1203 1288 1250 1210 1273 1376 1492 1609 1694 1778 1815 1825 1819 1801 1694 1602 1536 1487 1456 1487 1484 1478 1464 1439 1392 1338 1299 1271 1242 1207 1172 1185 1222 1264 1316 1411 1509 1557 1529 1450 1345 1220 1087 1016 996 1014 1076 1165 1170 1139 1002 839 850 998 1084 1140 1187 1205 1133 1293 1545 1766 1949 2074 2095 2077 2058 2048 2036 2014 2012 1925 1817 1707 1627 1511
9 6 4 3 5 8 9 10 12 14 15 15 13 11 10 10 10 9 8 6 6 5 4 3 3 2 2 2 2 2 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 4 6 7 6 4 4 5 3 4 6 10 13 16 16 13 9 8 9 10 11 11 12 13 14 16 16 16 15 14 14 15 15 15 13 12 12 16 22 27 32 36 38 39 41 40 39 37 36 32 28 24 22 21 20 19 18 18 20 26 32 34 35 35 35 35 32 31 31 31 27 22 20 22 27 35 44 53 59 57 50 40 29 18 11 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 2 7 27 80 155 238 317 376 391 400 396 386 375 345 334 340 362 344 259 257 238 235 241 250 262 279 316 360 395 420 456 432 392 347 328 345 377 515 601 720 875 1035 1154 1181 1197 1232 1293 1387 1491 1561 1628 1701 1758 1756 1756 1691 1595 1509 1442 1392 1419 1442 1446 1426 1409 1347 1296 1258 1222 1174 1126 1096 1132 1211 1287 1319 1394 1468 1473 1422 1349 1207 1046 934 891 882 916 1037 1097 991 871 830 877 1004 1166 1297 1426 1568 1687 1793 1846 1915 2021 2126 2147 2092 2013 1958 1907 1823 1706 1596 1504 1416 1324 1235 1162
8 5 3 2 4 8 10 11 12 14 13 15 14 12 10 10 10 9 8 7 6 5 4 3 3 2 2 2 2 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 5 4 3 4 4 4 5 6 9 16 18 16 11 6 3 6 6 6 8 11 13 15 17 17 17 17 16 15 15 14 13 12 12 12 14 19 24 31 36 38 40 40 38 36 34 35 32 28 25 23 21 19 17 16 16 18 24 29 32 34 35 34 32 30 29 30 30 27 23 20 20 23 30 40 48 56 59 56 49 38 27 18 12 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 1 14 44 94 167 264 342 374 389 395 394 384 357 355 362 332 222 80 107 130 164 195 205 208 201 207 209 202 196 247 271 269 255 250 257 291 379 450 537 678 835 973 1078 1158 1210 1236 1288 1333 1392 1492 1625 1723 1714 1693 1635 1567 1513 1469 1424 1394 1395 1407 1355 1345 1298 1254 1207 1133 1089 1074 1093 1145 1223 1308 1347 1383 1420 1393 1273 1170 1037 850 791 845 875 915 998 957 827 722 744 875 1019 1238 1504 1763 1949 2037 2120 2176 2183 2093 2024 1934 1841 1754 1681 1579 1451 1326 1225 1153 1102 1070 1037 1019
7 3 2 2 4 8 11 11 12 14 15 15 13 12 11 10 9 9 8 7 6 5 4 4 3 3 2 1 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 1 1 1 0 0 0 0 0 0 1 3 5 5 4 2 3 4 5 5 7 9 11 14 15 12 6 2 2 5 4 5 7 10 14 16 17 19 19 19 18 18 16 15 14 13 12 12 14 17 22 29 35 36 38 37 34 32 30 32 32 30 27 23 20 18 17 15 14 16 20 25 28 31 33 31 29 30 28 28 29 26 23 21 21 22 27 36 45 51 55 56 54 47 37 28 19 11 3 1 0 0 0 0 0 0 0 0 0 0 0 1 4 15 32 61 111 206 290 353 392 412 417 404 393 392 381 322 177 123 91 95 129 177 183 183 181 173 155 122 93 116 145 169 188 194 184 231 280 305 325 470 642 793 935 1055 1125 1174 1150 1140 1176 1241 1389 1496 1542 1552 1537 1514 1464 1430 1403 1354 1304 1368 1343 1316 1255 1191 1172 1098 1058 1056 1088 1152 1224 1294 1361 1365 1325 1276 1150 987 836 706 671 783 860 870 854 790 707 686 769 911 1104 1344 1592 1892 2066 2102 2075 2055 2030 1875 1735 1611 1500 1401 1318 1207 1097 1011 974 937 926 925 925 926
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