Vorticity
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nan 4 4 3 3 3 3 2 2 2 2 2 3 4 4 4 3 3 4 4 4 3 3 3 4 4 4 3 3 3 4 5 4 4 3 2 2 3 4 5 6 6 6 6 6 6 5 5 4 3 3 2 2 3 3 4 5 5 6 5 5 4 4 5 5 6 6 7 7 5 4 4 5 6 5 4 3 3 3 4 4 5 5 5 5 5 4 4 4 5 5 4 4 4 4 3 3 3 3 4 5 5 5 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 6 6 6 5 5 4 4 4 4 4 4 4 3 3 4 5 5 5 6 7 8 7 6 6 7 8 9 10 11 11 10 10 10 9 9 9 9 8 7 7 6 5 5 5 6 6 8 9 11 13 13 11 4 -4 -8 -8 -9 -9 -6 1 7 8 4 -1 1 6 12 17 21 18 10 7 10 13 14 13 10 8 7 7 8 9 10 10 9 7 7 8 10 11 9 8 7 8 11 12 12 13 15 15 13 12 13 15 16 14 10 6 2 -1 -2 0 3 4 4 6 6 5 3 3 3 2 1 1 0 -1 -1 -1 1 1 -0 -5 -11 -14 -10 -4 3 11 20 25 23 16 9 6 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 5 5 5 5 5 6 7 8 9 10 10 11 14 14 10 7 7 7 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 4 -1 -8 -9 -4 1 0 -4 -2 3 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 6 6 7 7 6 4 3 3 3 3 4 4 5 5 5 5 5 5 5 4 4 5 6 7 8 9 10 8 6 4 7 11 16 18 17 13 9 7 6 5 4 2 1 1 1 2 3 6 9 8 4 2 5 7 7 5 4 2 -0 -1 -4 -10 -10 -3 3 6 7 7 7 7 7 7 7 8 9 10 11 12 13 13 15 15 12 10 10 11 11 10 8 7 6 5 5 5 6 8 9 10 9 8 7 5 4 3 2 2 1 1 2 3 5 6 5 5 6 7 7 7 8 9 9 8 6 5 4 3 3 2 2 1 2 2 2 2 1 2 2 3 4 3 3 3 3 3 nan
nan 4 4 4 3 3 3 3 3 3 4 4 4 5 5 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 6 5 4 3 2 2 2 3 4 5 6 6 6 6 6 5 5 4 4 3 2 2 2 3 3 5 6 6 6 5 5 5 5 5 6 6 7 7 5 4 4 6 7 6 4 3 3 4 4 4 4 4 4 5 5 4 3 3 5 5 4 3 3 3 3 3 3 3 4 5 5 5 4 4 3 3 3 3 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 5 5 4 4 5 5 6 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 7 6 5 6 7 8 10 11 11 11 11 10 9 9 9 9 9 8 8 7 6 5 5 6 7 8 10 12 15 16 16 13 6 -1 -4 -3 -4 -6 -5 0 6 7 5 2 3 8 11 12 15 17 13 8 7 8 9 8 6 3 2 3 5 6 8 8 6 5 5 7 9 10 9 9 9 11 13 14 15 17 18 17 14 11 11 14 15 14 12 9 6 1 -1 1 5 7 7 7 5 3 2 1 -1 -4 -4 -3 -1 -1 -0 1 2 -0 -4 -9 -11 -8 -4 1 8 17 24 25 19 11 7 5 5 5 5 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 6 7 8 9 10 11 12 13 12 9 7 8 8 6 5 5 6 6 5 6 6 6 6 5 5 5 5 4 4 4 4 5 4 2 -4 -9 -7 2 2 -6 -8 -1 4 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 4 4 4 4 4 4 4 5 5 5 6 5 5 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 6 7 7 6 5 4 3 3 3 3 4 4 5 5 4 4 4 5 5 4 5 6 6 7 9 10 10 8 6 5 7 11 15 17 14 10 7 6 6 4 2 1 1 1 3 5 7 9 8 6 5 6 7 6 4 3 2 -1 -4 -7 -10 -8 -1 4 8 9 10 10 9 8 7 7 8 11 14 17 18 18 18 19 18 15 13 13 12 11 9 6 5 4 4 4 4 4 5 7 8 8 8 6 5 4 3 2 1 1 2 3 4 5 5 5 5 6 7 7 7 7 8 8 7 6 5 4 4 3 2 2 2 3 3 3 2 2 2 3 3 3 3 3 3 3 3 nan
nan 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 3 3 3 4 4 4 4 4 4 4 4 5 5 6 6 7 6 5 3 2 2 2 3 4 4 5 5 6 6 6 5 5 4 4 3 3 2 2 2 3 5 6 7 6 5 5 5 5 5 5 6 8 8 6 5 5 6 7 6 4 4 5 4 4 3 3 4 5 6 5 3 3 3 5 5 4 3 3 3 3 3 3 3 4 5 5 5 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 5 5 5 4 4 5 5 5 5 4 4 4 4 4 4 4 3 4 4 5 5 5 5 6 6 5 5 5 7 8 10 11 12 12 11 10 10 9 9 9 9 8 8 7 6 6 6 7 9 11 13 15 18 20 20 16 10 4 3 4 4 2 1 2 4 5 5 4 4 7 9 9 9 10 8 6 5 5 4 1 0 0 0 1 2 4 6 6 4 4 5 5 6 6 7 7 9 12 15 15 16 18 19 17 12 9 8 11 13 13 12 11 8 4 3 4 7 7 6 4 2 2 1 -1 -4 -7 -6 -4 -2 -1 1 3 1 -3 -8 -10 -7 -3 1 6 14 22 25 20 13 8 6 5 5 5 5 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 6 7 9 10 11 14 15 12 7 6 9 9 7 5 5 5 5 5 5 5 5 5 5 5 5 5 4 3 3 3 4 4 4 0 -7 -8 0 5 -2 -9 -6 2 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 4 4 4 4 4 5 5 5 5 5 6 6 5 4 4 3 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 6 7 7 6 5 4 3 3 3 3 4 4 5 5 5 5 5 5 5 5 6 6 6 7 8 9 10 9 8 7 7 9 11 14 14 10 6 4 3 2 2 2 3 3 5 7 8 7 7 7 7 7 6 5 3 1 -2 -5 -6 -6 -5 -2 2 5 8 10 12 12 10 8 7 6 8 12 16 18 19 19 20 20 19 17 15 14 13 11 8 5 4 4 4 4 4 3 4 6 7 8 7 6 5 4 3 2 1 1 2 3 4 5 5 4 4 5 6 6 6 6 7 7 7 6 6 5 4 4 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 nan
nan 4 4 5 5 5 5 5 5 5 6 6 5 5 4 4 4 3 3 3 3 3 3 3 3 4 4 5 6 7 7 7 6 4 3 2 2 3 4 4 4 5 5 6 6 5 5 4 4 3 3 2 2 1 2 3 4 6 7 6 6 5 5 5 5 5 6 7 8 7 6 5 6 7 6 5 6 6 4 3 3 3 4 5 6 4 3 3 4 5 4 4 3 3 3 3 3 3 3 4 4 5 5 4 4 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 5 5 5 5 5 5 4 4 4 5 5 5 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 6 5 5 6 7 8 9 11 12 12 12 11 11 10 9 9 9 8 7 7 6 7 7 9 11 13 15 18 21 22 22 18 13 11 13 15 14 11 7 5 3 3 4 4 5 6 7 7 6 5 4 4 4 4 2 1 0 1 2 2 2 3 4 6 5 5 4 4 3 3 4 5 7 9 12 13 13 14 14 12 9 7 7 9 10 11 11 10 8 5 5 6 5 3 1 0 1 1 -0 -3 -5 -6 -5 -3 -1 1 3 3 -2 -7 -9 -7 -3 1 5 11 18 22 20 14 9 6 6 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 6 6 6 5 5 5 5 5 6 6 8 10 12 15 18 15 6 4 7 8 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 4 3 3 4 4 4 3 -2 -6 -3 3 1 -5 -5 1 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 4 4 4 4 5 5 5 5 5 6 6 6 5 5 4 3 4 4 5 5 5 4 4 4 4 4 4 3 3 4 4 4 5 6 7 7 7 6 4 3 3 3 3 4 4 5 5 5 5 5 5 5 6 6 7 7 7 7 8 10 10 8 7 8 9 10 12 13 9 5 2 1 1 1 3 5 5 7 10 9 5 5 6 6 6 5 4 1 -2 -5 -6 -3 0 3 4 3 4 7 10 12 12 10 8 6 6 9 13 16 17 17 18 19 19 18 17 16 14 12 9 7 4 4 4 4 5 4 3 4 5 7 7 7 6 5 4 3 2 1 1 2 3 4 4 4 4 4 5 6 6 5 5 6 6 6 6 6 6 5 5 4 4 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 nan
nan 4 5 5 6 6 6 5 5 5 5 5 5 5 4 4 4 4 3 3 3 2 2 3 3 4 5 6 7 7 6 6 5 4 3 3 3 3 4 5 5 6 6 6 6 6 5 5 4 3 3 2 2 2 2 3 4 5 6 6 6 5 5 5 5 5 5 6 7 7 6 5 6 6 6 6 7 6 4 3 3 4 5 5 4 4 3 3 4 5 4 4 3 3 3 3 3 3 3 3 4 5 5 4 4 4 3 3 3 3 3 3 3 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 6 6 5 5 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 7 8 9 10 12 12 13 13 12 11 10 9 9 8 7 7 7 7 8 10 12 14 16 18 21 22 22 19 16 15 17 20 20 17 12 8 5 6 7 6 5 4 4 4 4 4 4 3 3 3 3 3 4 3 3 3 3 3 3 4 5 4 2 2 2 2 3 4 4 4 6 7 7 7 7 6 5 5 6 7 8 8 7 5 4 3 4 4 2 -1 -3 -2 -0 -1 -3 -4 -4 -3 -1 -0 1 3 5 2 -5 -8 -7 -3 1 5 11 18 21 20 14 9 7 6 6 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 6 6 5 5 5 5 5 5 5 6 7 8 11 14 20 18 8 2 5 6 5 6 6 5 4 5 5 5 4 5 5 5 6 6 6 6 5 5 5 5 5 4 2 -2 -5 -4 -3 -3 0 3 5 5 5 5 5 6 6 6 7 6 6 6 5 5 5 4 4 4 4 4 5 4 5 5 5 6 6 6 5 4 3 3 4 5 5 5 4 4 4 4 4 3 3 3 3 4 4 5 5 6 7 7 6 5 3 3 3 3 3 4 5 5 5 5 5 5 6 6 7 8 8 8 7 7 9 10 7 6 7 10 11 12 11 8 6 4 1 -0 0 3 5 6 8 11 10 5 3 3 3 3 2 0 -1 -2 -3 -2 2 6 8 6 3 3 5 8 10 10 9 7 6 8 12 15 16 15 16 16 17 17 17 16 15 13 11 8 6 4 3 4 5 5 4 3 4 6 7 7 6 5 4 4 3 2 1 1 2 3 4 4 4 4 4 5 5 5 5 4 5 5 5 6 6 6 6 6 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan
nan 5 5 6 6 7 7 6 5 5 5 5 4 4 4 4 4 4 3 3 3 2 2 3 3 5 6 6 6 6 5 5 5 5 4 3 3 3 4 5 5 6 6 6 6 6 6 5 4 3 3 3 2 2 2 3 4 4 5 5 6 5 5 5 5 5 5 5 7 7 6 5 5 7 7 7 7 7 5 5 4 4 4 4 4 4 4 4 5 5 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 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 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 6 6 6 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 7 8 9 10 11 12 13 14 14 12 11 10 9 8 7 6 7 8 9 10 12 13 15 17 19 20 20 18 16 15 13 14 17 18 17 14 13 13 12 9 5 2 2 2 3 5 5 4 2 1 3 5 6 7 6 5 5 4 3 2 2 0 -1 -1 1 2 3 3 2 1 2 3 4 3 3 2 2 2 3 4 4 4 3 2 1 2 4 3 0 -3 -3 -1 -0 -1 -3 -4 -3 -1 1 2 3 5 5 -0 -6 -7 -3 0 5 11 20 25 23 17 11 7 6 6 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 5 5 6 6 6 6 5 5 5 5 5 5 5 5 6 7 9 13 19 20 12 5 4 5 5 6 7 6 4 4 5 5 5 5 5 6 6 6 6 7 7 6 6 6 5 5 5 2 -3 -9 -12 -7 1 5 5 5 5 5 5 6 6 6 7 7 6 6 6 5 5 5 4 4 4 4 4 4 5 5 5 6 6 6 5 4 3 3 3 5 5 5 5 4 4 3 3 3 3 3 4 4 4 4 5 6 7 8 7 5 4 3 2 2 3 4 5 5 5 5 5 5 6 7 8 9 10 9 8 8 10 10 7 3 5 9 11 10 9 7 7 7 3 -1 -1 1 4 5 7 9 9 5 2 0 -0 -1 -1 -2 -1 1 2 4 6 8 9 7 3 1 3 7 8 8 8 7 8 12 18 20 18 15 14 14 14 15 15 14 13 11 9 7 5 4 4 4 5 5 4 4 5 6 6 6 5 4 4 4 4 3 2 1 1 3 3 4 4 4 5 5 5 5 5 4 4 4 5 5 6 7 7 6 6 5 4 3 3 2 3 2 2 3 3 3 2 2 2 2 3 nan
nan 5 5 5 6 6 7 6 6 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 5 5 4 4 5 5 5 4 4 4 4 4 4 4 5 6 6 6 6 6 5 4 3 3 3 3 2 3 3 4 4 5 5 6 6 6 6 5 5 5 5 6 7 6 4 5 7 7 6 6 7 7 5 4 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 2 2 3 4 4 4 4 4 4 4 4 4 3 3 2 3 3 3 3 3 3 3 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 5 5 5 6 6 6 5 5 4 4 4 4 4 4 4 5 5 4 4 5 5 6 6 7 8 8 9 11 13 14 14 13 12 10 9 8 7 6 7 8 9 10 11 12 14 15 17 18 18 17 17 16 14 12 14 17 20 21 21 21 17 10 5 3 3 3 3 5 5 5 3 2 3 5 8 11 11 9 7 6 5 3 1 -1 -2 -2 1 3 3 1 0 -0 1 4 5 4 3 1 0 -0 -0 -0 0 1 1 1 1 3 5 4 1 -1 -1 0 0 -1 -2 -2 -1 1 3 4 6 7 3 -4 -8 -6 -2 2 9 19 28 29 22 14 8 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 6 5 5 5 5 5 5 5 5 5 6 6 8 11 17 22 18 10 6 5 5 6 8 8 6 5 5 6 6 6 7 7 7 6 6 6 8 7 7 7 6 5 5 5 2 -7 -15 -12 -2 4 5 5 5 5 5 5 6 6 7 7 7 6 6 5 5 5 4 4 4 4 4 4 4 5 5 6 7 7 6 5 3 3 3 4 5 6 5 4 4 3 3 3 3 3 4 4 4 5 5 6 7 8 8 6 4 3 2 2 3 3 4 5 5 5 5 5 6 7 8 10 13 13 10 7 8 10 7 3 4 7 8 8 7 6 8 9 6 2 -0 0 2 3 5 7 7 4 1 -1 -2 -2 -2 -1 2 4 5 6 7 8 8 7 4 2 4 7 8 8 8 8 10 17 25 27 20 14 12 12 12 13 12 12 11 9 7 6 4 3 3 4 4 4 4 4 5 6 7 6 5 4 4 4 3 3 2 1 1 2 3 4 4 5 5 5 5 5 5 4 4 4 4 5 6 7 7 7 6 5 4 3 2 2 2 2 2 2 2 2 2 2 2 2 4 nan
nan 4 5 5 6 6 6 6 6 5 4 3 3 3 3 4 5 5 4 4 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 3 3 4 5 6 6 6 5 4 4 3 3 2 2 3 4 4 5 5 5 6 6 6 5 5 5 5 5 6 6 5 4 5 6 6 5 5 7 8 6 4 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 2 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 7 7 9 12 14 14 14 12 11 9 8 7 6 7 7 8 8 9 10 12 13 15 16 17 18 19 21 23 23 21 19 20 23 24 21 15 8 5 5 5 3 2 2 5 6 5 4 4 5 7 11 13 12 9 8 7 4 2 0 -0 1 2 4 2 -0 -1 -0 3 6 8 8 6 4 3 2 1 -0 -0 0 1 1 1 2 5 4 2 0 0 1 0 -0 0 1 1 2 4 7 8 6 -1 -8 -8 -4 0 4 13 24 30 26 17 10 7 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 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 6 6 8 14 22 23 17 11 7 5 5 8 10 9 6 6 6 6 6 8 10 10 8 6 6 7 7 7 9 9 6 5 5 5 -2 -12 -14 -5 3 5 5 5 5 5 5 6 6 6 7 7 7 6 6 5 5 5 4 4 4 4 4 4 4 5 6 7 7 7 5 4 2 2 3 5 5 5 4 4 3 3 3 3 4 4 4 4 4 5 6 7 8 8 7 5 3 3 2 2 3 4 5 5 5 5 5 6 7 8 12 16 17 11 5 6 9 8 5 5 6 5 5 5 6 7 9 9 6 3 1 0 2 4 5 5 3 1 1 1 1 -0 1 3 5 6 7 7 8 8 8 6 5 7 9 9 8 7 7 9 17 27 30 21 13 10 10 10 10 10 10 9 7 6 5 4 3 3 3 3 3 3 4 5 7 7 7 6 5 4 4 3 3 2 2 1 2 3 4 5 5 5 4 4 4 4 4 4 4 5 5 6 6 7 7 6 5 4 2 2 2 2 2 2 2 2 2 2 1 1 3 7 nan
nan 5 5 6 7 7 6 6 5 4 3 3 2 2 3 4 5 5 4 4 4 5 5 5 5 4 4 3 3 3 4 5 5 5 5 6 6 5 5 4 3 3 3 4 5 5 5 5 4 4 3 2 2 2 3 4 5 6 6 6 6 6 5 5 5 5 5 5 6 6 5 4 5 5 5 3 4 6 7 6 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 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 6 6 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 6 6 6 5 5 6 8 10 13 14 14 13 11 9 8 7 7 7 7 6 7 8 9 10 11 13 14 16 17 19 21 24 26 22 17 15 17 17 13 7 3 4 5 4 1 -2 -1 2 5 6 6 5 4 4 6 10 11 10 8 6 3 2 2 4 5 4 4 3 2 0 1 4 8 10 10 9 8 7 6 4 1 1 2 2 0 -0 1 3 3 2 1 1 1 -0 -0 1 2 2 2 5 7 7 2 -6 -9 -5 -1 2 7 15 22 22 16 10 7 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 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 9 17 24 23 19 13 9 6 7 10 10 8 7 7 6 5 6 10 12 12 9 9 7 5 6 10 11 8 6 5 5 2 -8 -13 -5 3 5 5 5 5 5 5 5 6 6 7 7 7 6 6 6 5 4 4 4 4 4 4 4 4 4 6 7 8 8 6 4 2 1 2 4 5 5 4 4 3 3 3 3 4 4 4 4 4 5 5 7 8 9 8 5 4 3 2 2 3 4 5 5 5 5 5 6 7 8 12 16 17 11 5 4 8 8 7 7 7 5 3 3 4 6 8 10 10 7 3 0 0 3 6 6 3 3 5 7 6 4 3 3 5 7 7 7 7 7 8 7 7 8 9 8 6 6 6 7 12 20 22 19 12 9 9 9 9 8 8 7 6 5 4 3 3 3 3 3 2 2 3 5 7 8 8 6 5 5 4 3 3 2 2 2 2 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 7 7 6 5 4 2 2 2 2 2 2 2 2 2 1 1 2 4 8 nan
nan 5 6 7 7 6 6 5 4 3 3 3 2 2 3 4 5 4 3 3 4 5 5 5 5 4 3 3 3 3 4 5 5 5 6 6 6 5 5 4 3 3 2 3 4 5 5 5 5 4 3 2 2 2 3 4 5 6 6 6 6 5 5 5 5 5 5 5 6 6 5 4 5 5 4 3 4 5 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 6 6 6 6 6 5 4 4 5 7 9 11 13 13 13 11 9 8 7 7 6 5 5 5 6 7 8 8 9 10 11 12 13 14 14 13 10 7 7 7 5 3 1 1 2 3 1 -1 -3 -2 -1 1 3 5 5 3 1 2 6 9 9 7 5 4 4 6 8 8 6 4 4 4 2 1 4 8 10 11 9 8 7 6 4 2 1 2 3 1 0 2 3 3 2 2 2 1 0 1 2 2 2 3 5 5 3 -2 -8 -7 -2 2 5 11 17 17 13 8 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 10 17 21 23 21 16 13 12 13 13 12 10 9 7 5 4 6 11 13 12 12 10 6 5 9 10 8 6 6 5 2 -6 -9 -4 2 5 5 5 5 5 5 5 6 6 6 7 7 7 6 6 5 5 4 3 3 4 4 4 4 4 5 6 8 9 7 5 2 -1 -0 2 4 5 4 4 3 3 3 3 4 4 4 4 4 5 5 6 8 9 8 6 4 3 2 2 2 3 4 5 5 5 5 5 7 9 13 14 11 8 6 6 7 8 8 8 8 6 3 1 2 5 8 9 8 7 6 2 -0 3 7 7 5 6 10 11 10 8 6 6 6 7 7 7 6 7 8 9 8 8 8 5 4 5 7 7 8 12 15 15 11 9 8 8 7 7 7 6 5 4 4 3 3 3 2 2 2 2 3 5 7 8 8 7 6 5 4 3 3 3 2 2 3 3 4 4 4 4 3 3 4 4 4 4 5 5 5 5 5 5 6 5 5 4 3 2 2 2 2 2 2 2 2 1 2 3 4 7 nan
nan 5 6 6 6 6 6 5 4 3 3 2 2 2 3 4 4 3 3 3 4 5 5 5 4 4 3 3 3 3 4 5 5 5 6 6 5 5 5 4 3 3 3 3 4 5 6 5 5 4 3 3 2 2 2 3 5 6 6 6 5 4 4 5 5 5 5 5 6 6 5 4 5 6 5 4 3 4 5 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 3 3 3 4 4 4 4 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 6 5 5 4 4 4 4 4 5 5 5 6 6 6 6 6 5 4 4 4 5 8 10 12 12 12 11 10 8 7 7 5 4 4 4 5 5 5 5 6 6 5 5 4 2 0 -2 -4 -3 -1 -0 0 2 3 3 2 0 -0 -0 0 1 -1 -3 -2 1 3 3 2 2 5 7 8 7 6 6 8 10 12 11 8 5 3 2 0 0 3 7 9 9 7 5 4 3 1 -1 -2 -0 2 3 3 3 4 5 4 4 3 2 2 2 2 2 2 3 4 3 0 -4 -7 -5 -0 4 9 15 19 15 9 6 5 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 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 9 13 17 20 20 18 18 18 18 18 17 15 13 10 6 4 6 9 11 13 12 9 8 10 10 9 8 8 6 1 -5 -6 -1 3 5 5 5 5 5 5 5 5 6 6 7 7 7 7 6 6 5 4 3 3 3 4 4 3 3 4 6 8 9 9 6 2 -3 -5 -2 2 5 5 4 3 3 3 3 4 4 4 5 5 4 5 6 8 10 9 7 5 3 2 2 2 3 4 4 4 4 5 5 7 11 15 12 5 4 6 7 6 6 6 8 9 8 4 1 2 4 5 4 3 4 7 5 3 5 8 8 8 9 12 14 13 11 10 9 8 7 6 6 6 8 10 10 10 9 7 4 3 5 8 7 7 10 14 14 12 9 8 7 7 6 6 5 5 4 4 3 3 3 3 2 1 2 3 5 7 8 8 7 6 5 4 4 3 3 3 3 3 3 4 3 3 3 3 3 4 4 4 4 5 5 4 4 4 4 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 3 4 5 nan
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nan 8 8 7 6 6 7 8 10 12 13 14 13 11 10 8 7 6 6 6 5 6 6 7 8 9 10 12 13 15 18 20 21 20 18 15 11 9 8 9 10 11 13 14 15 15 15 15 15 15 16 16 16 16 16 16 16 16 15 15 14 14 15 15 16 17 17 17 17 17 17 16 15 14 13 12 13 13 14 14 14 14 13 12 11 10 8 8 8 9 11 13 14 15 14 13 11 9 8 7 7 8 8 9 10 10 11 11 12 12 12 13 13 13 13 13 13 13 13 13 13 13 14 14 13 13 13 12 12 11 12 12 12 13 13 14 14 14 13 13 12 11 11 10 10 10 10 10 11 12 13 14 14 14 14 13 13 12 12 12 11 11 11 11 12 12 12 12 11 11 11 12 13 13 14 14 13 12 12 12 12 12 12 11 11 12 12 12 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 12 12 11 11 11 12 12 12 12 12 12 11 10 10 10 9 10 10 11 11 12 12 12 13 13 14 15 16 16 15 14 13 12 12 12 12 12 13 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 12 12 10 9 9 10 11 13 15 15 15 14 14 13 13 13 13 14 15 15 16 15 15 15 15 15 16 16 16 16 16 16 16 17 17 16 16 15 14 14 14 14 13 12 12 11 10 10 11 11 11 12 12 12 12 12 12 12 13 14 15 17 17 17 16 15 15 15 14 14 13 13 13 13 13 13 14 14 15 17 19 21 22 22 21 20 20 19 19 19 19 18 17 16 15 14 13 12 12 12 11 12 12 12 12 12 12 11 11 11 11 11 12 13 13 14 14 13 13 12 11 11 10 10 10 10 10 10 10 10 9 9 9 9 10 9 8 7 6 6 9 12 16 18 19 16 13 11 9 8 8 9 9 10 10 10 10 10 10 11 11 12 12 12 12 11 11 11 13 16 19 21 21 17 12 10 9 8 10 11 11 12 12 12 12 13 13 13 13 13 13 12 12 12 12 12 11 11 11 10 10 10 10 10 9 9 10 11 12 12 11 9 9 9 10 9 8 6 4 5 6 8 10 12 12 13 13 13 13 12 10 9 8 7 8 9 10 10 10 10 10 11 12 13 14 13 13 13 14 14 14 12 10 10 11 12 13 14 13 12 12 12 13 15 15 15 15 15 15 15 14 13 12 12 11 11 11 11 11 12 12 13 nan
nan 11 11 12 11 10 9 9 10 11 11 12 11 10 9 8 8 8 8 9 9 10 11 11 11 11 13 14 16 17 19 20 20 18 14 11 7 5 5 6 8 9 11 12 13 14 14 14 15 15 15 16 16 16 16 16 16 16 15 14 14 14 13 14 14 14 14 15 15 15 16 17 17 17 17 16 16 16 16 16 16 15 13 12 11 9 9 9 9 10 11 13 15 16 16 16 14 12 10 10 9 10 10 11 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 11 11 11 11 12 12 13 13 14 14 14 13 13 13 12 11 10 10 9 9 10 11 12 12 13 14 14 13 13 12 12 12 11 11 11 11 12 12 12 12 11 11 11 11 13 14 16 17 16 15 14 13 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 12 11 11 11 11 11 12 12 12 12 12 11 11 10 10 10 11 11 11 12 12 12 13 13 13 14 14 15 16 15 15 14 13 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 13 13 13 13 13 13 13 13 13 13 13 14 15 16 17 17 16 15 13 11 10 9 10 11 13 15 16 16 16 16 16 15 15 15 16 16 16 16 16 16 17 16 16 15 15 14 14 14 14 13 12 12 11 11 11 12 12 12 12 12 12 12 12 13 14 15 16 17 18 18 17 16 15 14 14 14 13 13 13 13 13 13 13 14 16 18 21 23 23 22 21 19 18 17 17 17 17 17 16 16 15 14 14 13 12 12 12 12 12 12 12 12 12 12 11 11 11 12 12 13 13 14 14 13 13 12 12 11 11 10 10 10 10 10 10 10 9 9 9 10 10 10 9 8 7 7 8 11 15 17 18 16 12 10 8 7 7 8 8 9 9 9 10 10 10 11 11 11 11 11 12 12 11 10 10 11 13 17 20 22 21 18 15 11 9 9 9 10 10 11 12 13 13 13 13 13 13 13 13 13 13 13 12 11 9 8 8 9 9 9 9 9 9 10 11 11 10 8 7 6 7 8 9 8 6 4 4 4 6 8 10 11 13 14 14 13 13 12 9 8 7 7 8 10 10 11 10 11 12 14 15 14 13 13 12 12 12 12 11 11 11 11 12 12 13 13 13 13 14 15 15 15 15 15 15 14 14 13 12 12 12 11 11 11 11 11 12 12 12 nan
nan 12 13 13 13 12 11 10 9 8 8 7 8 8 8 8 8 8 8 9 12 13 14 14 14 14 15 15 16 17 18 18 15 13 11 7 5 3 5 5 6 8 9 10 11 12 12 13 14 15 15 16 16 16 16 16 15 15 14 14 13 13 13 13 12 12 12 12 12 12 13 14 15 16 16 16 17 17 17 17 16 15 13 12 11 10 11 12 12 13 14 15 17 17 17 17 15 14 12 12 12 12 13 13 14 14 14 14 14 14 14 14 13 13 13 13 13 12 12 12 12 12 11 11 12 12 12 12 12 12 12 13 13 13 13 14 14 14 13 13 13 12 11 11 10 10 10 10 11 11 12 13 13 13 13 12 12 12 12 11 11 12 12 12 12 12 11 11 11 11 11 12 12 13 14 14 13 13 12 12 12 12 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 12 12 12 12 12 13 13 12 11 10 9 8 8 9 10 11 11 12 12 12 11 11 11 11 11 11 11 12 12 12 12 12 13 13 13 14 15 15 15 14 14 13 12 11 11 11 12 12 12 11 11 11 11 11 11 11 12 12 13 13 13 13 14 14 14 14 14 14 15 16 17 18 18 18 17 15 13 10 7 6 6 9 12 16 17 17 17 17 16 16 16 15 15 16 16 16 16 16 16 16 16 16 15 15 15 15 15 15 14 14 13 13 14 14 14 14 13 13 13 13 13 14 15 16 17 18 18 17 16 15 14 14 14 14 14 13 13 13 13 12 13 14 16 18 21 24 24 22 20 18 16 16 16 16 16 16 16 15 15 15 14 13 13 12 12 12 12 12 12 12 12 12 11 11 11 12 12 13 13 14 14 13 13 12 11 11 10 10 10 10 10 10 10 9 9 9 9 10 10 11 10 9 8 7 8 10 13 16 17 16 13 10 8 6 6 6 7 8 8 8 8 8 8 9 10 10 10 10 10 11 10 10 9 9 9 11 15 20 23 24 24 21 16 13 10 8 8 9 11 11 12 13 13 13 13 13 13 14 14 14 14 13 11 9 8 8 9 9 10 10 10 10 11 11 10 9 7 7 7 8 9 10 9 7 6 5 5 6 8 10 11 12 13 13 13 13 12 10 9 8 8 9 10 11 11 11 11 13 14 15 14 13 12 11 11 10 10 11 12 12 12 12 12 13 13 13 14 14 15 15 15 15 15 16 15 15 14 13 13 12 12 12 11 11 11 11 11 12 nan
nan 11 11 12 12 12 11 10 9 7 6 5 5 7 7 8 7 6 5 5 7 10 12 14 15 16 16 17 17 17 16 15 12 9 8 6 5 5 5 6 6 7 8 9 9 10 11 12 13 14 14 15 15 15 15 14 14 13 13 13 14 14 14 15 14 13 13 12 12 12 12 12 12 13 13 13 14 15 16 16 15 14 13 12 11 11 11 12 13 14 15 16 17 17 17 17 16 14 14 14 14 14 14 14 14 14 14 15 15 15 15 15 14 14 13 13 12 12 11 11 11 11 10 11 12 13 13 14 14 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 13 13 13 12 12 12 12 12 12 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 12 12 12 12 12 12 12 12 12 12 12 11 12 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 12 12 11 9 7 7 7 7 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 13 13 14 14 15 14 14 14 13 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 13 13 13 13 13 13 14 14 14 14 15 15 15 15 15 15 15 15 14 12 11 8 7 8 11 15 18 20 20 19 18 17 17 16 16 16 16 16 17 17 16 16 16 16 16 16 15 15 15 15 15 15 14 14 14 15 15 16 16 15 15 14 15 15 16 17 18 18 18 18 17 16 15 14 14 14 14 13 13 13 13 13 13 13 14 16 18 21 24 25 23 20 18 16 16 16 16 15 15 15 15 15 15 14 14 13 13 12 12 12 12 12 12 12 12 12 11 12 12 13 13 13 14 14 13 13 12 11 11 10 10 10 10 9 9 9 9 9 9 9 9 10 11 11 11 9 8 7 8 10 13 16 16 14 11 9 7 6 6 6 6 7 7 7 7 7 7 8 8 9 9 9 10 9 9 8 7 8 9 12 16 21 25 27 29 26 21 17 12 9 8 9 11 12 13 13 13 13 13 13 13 14 15 15 15 14 12 10 10 10 11 11 11 11 11 11 11 10 10 9 9 9 10 10 11 11 10 9 7 6 6 7 9 10 11 12 12 12 12 12 11 11 11 10 9 10 11 11 11 11 11 12 13 13 13 12 11 10 10 10 11 12 13 13 13 13 13 13 13 13 14 14 14 14 14 15 15 15 15 15 14 14 13 13 13 12 12 11 11 11 11 11 nan
nan 10 10 10 10 10 10 9 8 7 5 5 5 6 7 8 8 6 6 5 5 8 10 13 15 17 18 19 18 17 15 12 10 7 6 5 5 6 6 7 7 7 8 9 9 10 11 11 12 13 13 13 13 13 12 11 11 11 12 12 13 15 15 16 15 15 14 14 13 12 12 11 11 11 10 10 10 10 11 11 12 12 12 11 11 12 12 13 13 14 15 16 17 17 17 16 15 14 14 14 14 13 13 13 13 13 14 14 15 15 15 16 16 15 14 13 12 11 10 10 10 10 11 12 13 14 14 15 15 14 13 13 13 12 12 13 13 13 13 13 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 12 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 14 14 15 15 14 14 13 12 11 11 11 11 11 11 11 10 10 10 11 11 11 12 12 13 13 12 12 12 12 12 12 13 14 14 14 13 13 12 12 12 12 12 11 11 10 11 14 17 20 21 19 18 17 17 17 16 16 16 16 16 17 17 17 17 16 16 16 16 15 15 14 14 14 14 15 14 14 15 15 15 16 15 15 15 15 16 17 17 18 18 18 17 16 15 15 14 14 13 13 13 13 13 13 13 14 15 17 18 20 22 24 24 23 21 18 17 16 16 16 16 15 15 15 15 15 15 14 14 13 13 12 12 11 11 11 11 12 12 12 12 12 13 13 13 14 13 13 13 12 11 11 10 10 9 9 9 9 9 9 8 8 9 9 10 11 11 11 10 8 6 7 9 11 14 15 14 11 9 7 6 5 5 6 6 6 6 6 6 6 7 7 7 8 9 9 10 9 8 7 6 7 9 13 17 22 27 30 32 30 26 20 12 9 8 10 12 13 13 13 13 13 13 13 13 14 15 15 15 14 12 12 12 12 12 13 13 12 12 11 10 9 9 10 11 11 11 10 10 11 11 10 8 6 6 6 7 9 11 11 11 11 10 10 11 11 11 11 11 12 12 12 12 11 11 12 12 12 11 11 10 10 10 12 13 14 15 15 14 13 12 12 13 13 13 13 14 14 14 14 14 14 14 14 14 14 14 13 13 12 12 12 11 11 11 12 nan
nan 10 9 8 8 8 8 8 7 6 5 4 5 5 7 8 9 10 10 10 11 13 14 16 18 20 20 20 18 16 13 10 8 6 5 5 4 5 6 6 7 8 9 9 10 11 12 12 12 12 12 12 11 11 10 10 10 10 11 12 14 15 15 16 16 16 15 15 14 13 12 11 10 9 9 8 8 8 8 8 10 11 12 13 13 14 14 15 16 16 17 18 18 18 17 16 15 14 13 13 12 12 12 12 12 12 13 14 15 15 16 16 16 15 14 13 12 11 10 10 10 11 12 14 15 15 15 15 14 14 14 13 13 13 13 13 13 12 12 12 12 12 12 12 13 13 13 14 14 14 14 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 12 11 11 12 12 12 12 12 12 12 12 12 12 13 13 12 12 12 12 13 14 15 15 14 13 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 13 14 14 14 15 15 15 14 13 12 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 12 12 12 11 11 10 10 11 12 13 13 13 13 13 12 12 11 11 11 11 12 12 13 14 16 17 18 17 16 16 16 16 16 16 16 16 16 17 17 17 17 17 16 16 16 15 15 14 14 14 14 15 15 14 14 14 14 15 15 15 15 15 15 16 16 16 17 16 16 15 15 14 14 13 13 13 13 13 13 13 14 15 18 20 21 21 21 21 22 21 20 18 17 16 16 16 16 16 15 15 15 15 15 14 14 13 13 13 12 12 11 11 11 11 12 12 12 12 13 13 13 13 13 13 12 12 11 10 10 9 9 9 8 8 8 8 8 8 8 9 9 10 11 11 10 9 7 7 9 11 15 18 18 16 12 8 6 4 4 5 5 6 6 6 6 6 6 7 7 7 8 9 9 10 10 9 7 6 6 9 14 18 23 27 32 34 32 28 20 13 10 10 11 12 14 14 14 13 13 13 13 13 14 14 14 14 13 12 12 12 13 13 13 13 13 12 10 9 9 9 10 11 11 10 10 10 11 11 10 8 6 5 5 6 8 10 11 11 10 10 10 11 12 12 13 13 13 13 13 13 13 12 13 12 12 11 9 9 10 11 13 15 16 16 15 13 12 12 12 12 13 13 13 13 13 13 14 14 14 14 14 14 14 14 13 13 12 12 12 11 12 12 12 nan
nan 12 11 10 8 8 7 7 8 7 6 6 6 7 7 8 10 12 13 15 17 18 19 20 21 22 21 19 16 13 10 8 6 5 5 5 5 5 5 5 6 8 9 11 12 13 13 13 13 13 12 11 11 11 11 11 11 12 12 13 14 15 16 16 16 16 16 16 15 14 12 11 10 9 9 8 8 8 9 10 11 12 13 14 15 16 16 16 17 18 19 20 19 18 17 16 14 13 12 11 11 10 10 10 10 11 12 13 14 15 16 16 15 14 13 12 12 11 11 12 12 13 13 14 14 14 14 14 14 13 13 13 13 13 13 13 13 12 12 11 11 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 12 12 12 12 12 11 11 11 11 12 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 13 13 12 12 12 12 12 12 13 14 15 15 15 14 13 12 12 11 11 11 11 11 11 11 12 12 13 13 14 14 15 15 15 15 14 13 12 11 10 10 10 11 11 11 11 10 10 10 10 10 11 11 12 12 12 11 10 10 10 12 13 14 14 13 13 12 12 12 12 13 13 13 13 13 13 14 14 15 15 15 14 15 15 16 16 16 16 16 16 17 17 17 17 17 16 16 15 15 15 14 14 14 14 15 15 14 14 14 14 14 14 14 14 14 14 15 15 15 15 15 15 15 14 14 14 13 13 13 13 13 14 14 15 17 19 21 22 22 21 19 19 18 18 17 16 16 16 16 16 16 16 15 15 15 15 14 14 13 13 13 12 12 12 11 11 11 12 12 12 12 13 13 13 13 13 13 12 12 11 10 10 9 9 9 8 8 8 7 7 7 8 8 8 9 10 10 10 9 8 7 8 12 15 22 25 23 20 15 10 6 5 5 5 5 6 6 6 6 6 7 7 8 8 8 9 10 10 10 9 7 6 7 10 13 18 23 27 32 34 33 27 19 14 11 11 12 13 14 14 14 13 13 13 13 13 13 14 13 13 12 12 12 12 13 13 13 13 12 11 9 9 9 9 10 11 10 10 10 11 11 11 11 9 7 6 5 7 9 10 11 11 10 10 10 12 13 14 14 14 14 14 13 13 13 13 13 13 12 10 9 9 10 12 15 17 17 16 14 13 12 12 12 13 13 13 13 13 13 13 14 14 14 14 14 14 14 14 14 13 13 12 12 12 12 12 12 nan
nan 15 14 13 11 9 9 9 9 10 10 10 9 9 8 7 7 7 9 11 14 16 17 19 20 21 19 17 14 11 8 7 6 6 6 6 6 6 6 6 6 8 10 12 13 14 14 14 14 13 13 12 12 12 12 13 13 14 14 15 15 15 16 16 16 16 15 15 15 14 13 12 11 11 10 9 9 10 10 11 12 14 15 15 16 16 16 16 17 18 20 20 19 18 16 14 13 12 11 10 10 9 9 9 10 10 11 12 13 15 15 16 15 14 14 13 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 13 13 13 13 12 12 12 11 11 11 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 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 12 12 12 12 12 12 12 12 12 12 12 13 13 13 12 12 12 12 12 12 13 12 11 10 8 7 7 8 8 9 10 11 11 11 12 12 12 12 13 14 14 15 15 15 14 13 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 11 11 11 11 12 14 15 15 15 14 12 11 11 11 12 13 14 15 15 15 15 15 15 14 14 13 13 14 14 15 15 15 15 15 15 16 16 16 16 16 16 16 15 15 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 15 15 15 15 16 16 17 19 19 21 22 21 20 18 17 17 16 16 16 16 16 16 16 16 16 16 15 15 15 14 14 14 13 13 12 12 12 12 11 11 12 12 12 12 13 13 13 13 13 13 12 12 11 11 10 10 9 8 8 8 7 7 7 7 7 7 8 8 9 9 10 10 9 8 8 9 12 17 24 27 26 23 18 13 9 8 7 6 6 6 6 6 6 6 7 7 8 8 9 9 10 11 10 9 8 7 7 10 13 17 21 27 31 32 31 25 18 14 12 12 13 14 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 11 10 10 9 10 10 11 11 11 10 10 10 11 11 10 8 7 5 5 7 8 10 12 12 11 12 12 13 14 15 15 14 13 13 12 12 12 12 12 12 11 10 10 10 11 13 15 16 16 15 14 13 12 12 13 13 13 13 13 13 13 13 14 14 14 14 14 14 14 14 14 14 13 13 13 13 13 13 13 nan
nan 15 15 14 13 11 10 10 10 11 12 13 12 11 9 6 4 2 2 4 7 10 13 15 16 16 16 14 12 10 7 6 6 6 6 7 7 7 7 7 7 8 10 11 12 13 14 14 14 13 13 13 13 14 14 14 15 16 16 16 16 16 16 15 15 15 14 14 14 13 13 13 12 11 11 10 10 10 11 11 12 13 14 14 15 15 15 16 17 18 19 19 19 17 15 13 12 11 11 10 10 10 10 10 10 10 10 11 12 13 14 15 15 15 15 14 14 13 13 12 12 12 11 12 11 11 12 12 12 13 13 13 14 14 14 13 13 13 13 13 13 13 13 13 13 13 13 12 12 11 10 10 10 10 11 11 11 11 11 12 12 12 13 13 13 13 13 13 13 12 12 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 12 12 12 12 12 11 9 6 3 0 -1 1 4 7 9 11 10 11 11 11 12 12 12 13 14 14 15 15 14 13 12 11 10 9 9 8 8 9 9 9 9 10 9 9 9 10 10 11 11 11 11 12 13 15 16 17 16 15 14 13 13 13 13 13 14 14 15 15 15 15 14 14 13 13 13 13 13 14 15 15 15 15 15 15 15 15 16 16 16 15 15 15 14 14 14 15 15 15 15 15 14 14 14 14 14 14 14 14 14 14 14 14 14 14 13 14 14 14 15 16 17 17 18 18 18 18 18 18 19 19 20 19 19 18 17 16 16 16 16 16 16 16 16 16 16 16 16 15 15 14 14 14 13 13 12 12 12 11 11 11 12 12 12 12 13 13 13 13 13 13 12 12 11 11 10 10 9 9 8 8 7 7 6 6 7 7 8 8 9 9 10 10 9 8 8 8 9 10 16 20 21 22 20 18 15 13 12 10 8 7 7 6 6 6 6 7 7 8 9 9 10 10 11 11 9 8 7 8 10 13 18 22 26 30 31 28 21 18 13 11 12 13 13 13 13 12 13 13 13 14 14 13 13 13 13 12 12 12 11 11 11 11 11 11 10 10 10 11 11 11 11 10 10 10 10 11 11 10 8 7 6 5 7 8 10 12 12 12 13 14 15 15 15 14 13 12 11 10 10 9 10 10 10 10 10 10 10 11 13 14 15 15 14 14 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 14 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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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61 63 64 67 70 69 66 66 67 65 61 59 61 60 56 56 56 54 46 39 39 40 39 38 38 39 39 41 50 56 49 51 56 49 42 38 34 34 33 36 40 47 52 51 47 40 33 23 17 13 13 18 23 23 25 25 25 24 24 24 21 18 16 12 11 13 13 9 10 13 10 7 5 9 10 9 8 7 6 7 6 4 5 6 7 7 7 7 7 8 7 7 7 7 5 3 2 2 2 4 5 6 5 5 5 6 6 6 6 5 2 2 3 3 5 6 6 5 2 11 10 6 4 4 4 4 4 4 4 5 8 11 32 79 140 224 376 575 700 635 716 884 834 922 1192 1421 1592 1515 1483 1516 1618 1739 1844 1800 1639 1638 1887 2291 2609 2748 2827 2959 3009 2780 2477 2311 2278 2276 2513 2621 2776 2712 2704 2803 2935 2897 2882 2953 2967 2959 3015 3169 3315 3195 2688 1849 950 349 145 153 175 153 122 120 151 127 52 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 5 22 78 161 200 180 159 162 164 157 145 129 121 119 115 110 105 100 101 107 114 113 112 113 112 112 114 113 119 125 126 129 134 143 149 149 145 140 136 134 132 131 132 130 126 122 116 110 107 104 102 99 97 96 95 90 76 64 63 63 64 67 67 65 65 66 67 61 62 68 78 87 89 90 93 88 79 75 75 71 63 61 52 55 64 68 86 116 122 111 106 109 107 104 101 97 93 92 91 91 84 75 63 51 43 39 39 46 52 56 58 62 66 70 74 76 76 63 51 53 57 60 67 64 56 49 45 41 34 24 14 9 4 2 2 1 0 0 0 0 0 1 1 2 2 3 4 5 7 7 7 7 6 7 8 8 9 8 7 5 5 4 3 3 8 21 54 140 296 506 730 915 1122 1224 1517 1799 2029 2098 2084 2031 1948 1837 1767 1621 1533 1822 2192 2433 2544 2355 1812 1498 1327 1313 1322 1349 1376 1766 2631 2688 3285 3486 2637 1737 1385 1466 1903 2410 2637 2727 2997 3032 2442 1909 1726 1738 1568 1295 1102 890 768 644 662 755 906 1120 1536 1956 2333 2663 2877 2985 2951 2766 2384 1955 1675 1617 1679 1770 1578 1439 1521 1572 1756 1996 2071 2123 2155 2036 1724 1512 1457 1407 1343 1341 1408 1439 1535 1729 1998 2049 1973 1744 1542 1337 1112 1033 1094 1113 1033 995 1038 1063 1075 1130 1220 1306 1415 1610 2078 2816
54 59 62 66 69 69 65 61 64 67 63 57 55 53 56 65 71 69 59 51 52 55 51 44 39 37 35 34 41 49 53 54 54 53 53 50 45 42 37 33 34 38 41 47 47 42 34 25 17 13 13 17 18 23 25 27 27 26 26 26 22 17 16 12 11 11 11 9 9 11 9 6 8 10 8 7 8 8 9 7 5 3 5 7 7 7 7 7 7 7 7 7 7 6 4 2 1 3 4 5 6 5 6 5 5 6 6 6 6 6 5 4 4 4 4 5 5 6 6 10 11 5 3 4 4 4 4 4 4 4 5 6 13 39 99 161 196 300 549 718 682 739 830 863 967 961 1090 1231 1275 1221 1444 1665 1733 1730 1671 1665 1712 2059 2400 2639 2770 2812 2762 2593 2440 2353 2271 2285 2520 2628 2670 2540 2564 2710 2832 2835 2886 3018 3038 3045 3091 3213 3306 3015 2273 1311 536 185 168 246 236 143 69 36 22 8 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 1 11 60 151 200 182 151 144 149 152 153 142 125 119 118 112 107 102 99 101 108 115 115 110 109 111 114 114 117 120 124 127 130 132 136 141 142 139 138 135 129 126 124 124 122 116 112 109 103 104 104 104 101 99 96 93 93 81 62 60 63 65 69 72 72 77 75 72 64 64 68 77 87 88 88 90 89 81 70 71 70 65 64 59 59 66 73 78 99 123 119 109 106 106 105 101 97 94 93 92 91 87 78 68 56 46 37 37 42 50 55 58 61 63 67 71 74 74 68 57 53 56 60 67 71 66 56 47 38 32 23 13 7 3 2 1 0 0 0 0 0 0 1 3 3 3 3 3 4 6 7 8 8 7 6 7 8 8 8 7 6 5 4 3 2 4 8 27 86 206 373 541 641 788 914 1168 1399 1626 1839 1993 2063 2059 1992 1969 1952 1865 1915 2188 2591 2849 2998 2267 1787 1572 1482 1556 1640 1588 1945 2816 3074 3368 3644 3246 2521 1909 1739 2076 2475 2695 2871 3136 3092 2289 1733 1680 1733 1456 1258 1125 942 904 935 957 1016 1142 1333 1653 1978 2271 2498 2774 3071 3167 3060 2670 2155 1854 1804 1833 1795 1313 1218 1337 1437 1589 1830 2088 2158 2081 1930 1653 1455 1428 1412 1374 1277 1235 1322 1492 1575 1768 1911 1896 1768 1507 1228 1063 1074 1101 1077 1065 1091 1106 1087 1122 1196 1281 1370 1614 2143 2914 3273
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59 60 61 54 53 50 46 45 45 45 51 66 83 93 95 91 81 66 59 64 71 69 64 64 64 57 45 41 40 47 46 43 48 43 32 29 35 33 26 22 21 30 34 31 35 42 44 39 33 27 21 18 18 20 24 26 22 17 15 16 15 16 11 11 13 10 8 8 10 10 10 11 13 12 12 12 12 12 11 8 6 5 5 6 8 8 8 9 10 10 9 9 9 8 6 4 5 5 7 7 7 7 7 7 7 7 7 6 5 5 5 5 5 5 6 5 6 5 5 4 3 3 3 4 4 3 3 4 6 6 6 5 5 5 4 4 4 4 4 5 6 14 36 93 200 382 509 452 357 467 733 888 812 750 869 1000 839 1070 1355 1387 1560 1547 1704 1886 1925 1949 2298 2869 3074 2895 2491 2121 2160 2348 2276 2170 2020 1884 1695 1401 1003 703 648 564 400 228 89 27 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 53 170 188 142 120 104 90 83 80 79 81 83 87 91 95 99 102 104 105 104 104 109 111 118 119 121 118 118 116 118 122 122 123 124 126 130 130 128 128 125 117 115 114 107 109 113 116 115 113 114 111 108 104 101 98 97 98 100 103 105 108 114 120 123 123 122 121 122 124 124 117 117 116 115 122 123 136 136 136 140 146 149 145 142 140 140 140 137 131 126 122 117 114 109 108 107 102 99 98 96 102 105 106 106 107 109 108 105 101 99 99 98 89 68 44 39 40 40 36 25 24 22 23 27 24 22 20 17 11 6 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 9 15 19 22 23 25 30 35 35 30 31 31 29 26 20 20 23 26 26 23 18 18 21 22 25 26 26 25 25 27 30 40 47 54 73 131 244 380 471 524 678 921 1203 1514 1833 2013 1864 1545 1216 1195 1540 2214 2743 2283 1777 2197 2880 3139 3204 3566 3449 2573 1656 1162 1000 1134 1553 1991 2371 2519 2077 1629 1789 2195 2140 1917 1747 1668 1670 1718 1679 1594 1580 1710 1985 2280 2739 3349 3943 4172 3931 3502 3239 3023 2784 2460 2210 2237 2360 2298 2039 1644 1333 1169 1288 1402 1515 1600 1667 1745 1808 1876 1978 2064 2156 2318 2502 2623 2645 2693 2936 3110 3149 3321 3448 3352 2807 2058 1519 1314 1285 1223 957 574 285 329
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58 56 55 56 55 56 55 61 65 66 74 86 95 97 88 76 62 58 69 75 65 60 63 72 70 62 53 51 52 54 53 47 39 33 29 28 31 32 25 19 17 20 26 26 27 33 36 31 27 23 15 13 12 13 11 11 16 15 17 17 17 14 10 10 13 9 7 9 10 6 5 8 10 12 12 13 12 11 11 10 10 9 7 4 4 7 9 9 9 9 10 9 9 9 9 9 7 6 7 7 7 7 7 7 7 7 7 7 7 7 6 5 5 5 5 5 5 6 5 3 3 3 4 3 4 4 4 5 6 6 6 5 5 5 5 5 5 5 5 6 5 5 11 34 89 168 277 453 559 493 622 731 615 492 514 657 844 1126 1568 2081 2242 2244 2192 2205 2294 2371 2625 2890 3093 3160 2876 2370 2085 2082 2097 1998 1823 1623 1402 1159 865 633 548 450 181 66 43 28 16 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 27 114 194 176 138 98 80 74 72 71 71 73 76 83 91 95 98 103 104 101 99 102 108 116 118 117 116 114 111 110 112 114 116 118 119 123 125 122 116 112 110 111 112 108 106 104 103 107 111 109 110 108 107 104 101 99 100 103 108 112 114 116 117 118 120 118 114 111 108 106 102 102 100 97 99 104 109 117 126 132 131 130 132 135 138 140 138 136 137 136 129 123 121 113 104 101 96 94 92 91 88 90 96 103 104 106 110 113 114 114 110 105 99 95 89 71 60 59 58 51 38 26 21 18 16 18 19 18 16 11 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 12 17 21 24 31 36 45 47 42 43 41 42 44 36 29 26 23 20 18 18 18 20 23 26 28 27 25 23 23 25 30 39 58 86 99 106 148 253 378 464 529 616 819 1132 1413 1548 1554 1440 1357 1327 1521 1758 1858 2212 2627 2798 2886 3012 3143 3268 3069 2528 1785 1242 984 1160 1584 1985 2387 2742 2824 2745 2658 2553 2383 2189 2067 1939 1773 1679 1666 1908 1732 1876 2119 2377 2793 3328 3774 3790 3493 3167 3024 3066 2807 2342 2110 1983 1933 1899 1783 1699 1554 1515 1584 1595 1544 1477 1442 1440 1417 1512 1580 1568 1522 1568 1630 1747 1989 2154 2284 2443 2653 2920 3097 2965 2496 2071 1875 1778 1639 1737 1409 792 416
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83 59 47 54 70 89 96 104 104 98 93 86 79 81 81 70 67 83 93 97 88 91 92 82 94 91 75 59 50 46 43 38 30 25 24 25 23 19 18 17 16 15 13 12 13 13 13 15 18 25 29 29 26 21 18 21 19 18 18 18 18 17 16 16 16 15 14 14 14 14 14 13 12 11 10 11 11 11 11 11 12 12 12 11 9 6 8 9 9 9 9 9 9 7 6 6 6 7 7 6 6 7 7 7 6 5 4 4 4 5 5 5 4 3 3 3 2 1 0 0 0 0 0 1 1 2 2 2 1 0 0 0 0 0 0 0 0 1 12 71 313 844 1082 1023 840 571 296 115 43 24 31 36 11 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 6 7 7 8 9 9 10 11 11 10 10 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 10 11 13 13 12 12 12 14 14 13 12 12 11 11 11 10 11 11 14 15 16 17 17 18 18 19 20 20 20 20 19 21 24 27 28 28 29 29 30 29 31 32 31 31 32 32 32 33 33 33 34 34 34 35 34 34 32 30 29 30 31 33 32 28 27 27 26 24 21 18 17 15 13 9 7 7 7 7 8 8 9 9 10 11 11 11 11 10 8 8 7 7 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 25 51 70 87 97 126 139 142 141 138 135 131 125 126 129 137 141 146 145 143 145 147 148 150 151 151 153 153 147 143 145 143 137 131 125 116 110 108 102 92 80 71 64 59 55 53 52 51 52 50 49 49 48 46 43 38 36 35 34 34 36 41 48 55 58 58 56 51 48 43 41 40 41 39 35 34 36 38 38 37 38 38 38 37 38 38 36 30 26 45 161 448 887 1086 1242 1381 1524 1738 2021 2260 2375 2286 2105 1928 1790 1651 1462 1248 1089 1169 1584 2093 2404 2733 3053 3196 3154 3021 2881 2703 2519 2325 2187 2126 2126 2109 2038 1899 1713 1557 1416 1131 961 1053 1276 1300
81 58 48 53 69 84 90 96 98 90 83 82 79 77 76 68 61 70 82 82 71 86 81 81 90 83 70 60 50 47 42 34 29 26 26 27 26 25 22 19 17 14 12 12 12 12 12 13 18 24 27 27 25 18 15 21 19 19 20 19 18 16 16 15 15 14 14 13 14 14 14 13 12 12 11 11 12 11 12 11 11 12 12 10 8 7 8 9 9 9 9 9 8 6 6 6 6 6 7 6 6 7 7 7 5 4 4 5 5 5 4 3 3 3 3 3 2 1 0 0 0 1 1 2 2 2 2 1 0 0 0 0 0 0 0 0 0 2 20 99 319 817 1043 916 764 500 257 112 57 45 19 7 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 1 2 3 4 5 5 6 7 7 7 8 9 10 10 10 10 10 11 12 12 12 12 12 12 12 12 11 12 12 13 13 13 14 14 14 13 13 12 12 11 12 11 11 10 9 9 10 10 11 12 13 14 14 14 15 17 19 21 21 20 20 21 25 28 28 29 30 31 31 31 33 34 34 33 33 33 33 33 34 35 36 37 38 37 35 32 29 29 30 31 32 32 28 25 25 24 22 20 18 17 15 13 9 8 7 7 7 7 8 8 9 9 9 10 9 9 9 9 7 7 5 4 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 2 11 30 54 72 87 97 118 133 140 141 140 134 126 124 128 132 136 141 145 144 145 149 152 151 153 155 156 155 154 153 152 151 149 145 143 136 126 115 110 106 100 92 83 74 66 60 55 52 53 53 52 50 49 49 48 47 44 41 38 35 34 36 39 44 51 58 63 60 52 51 48 46 43 42 41 37 33 33 36 35 35 37 40 43 41 38 36 37 34 29 30 53 255 623 924 1100 1186 1315 1690 2126 2378 2390 2289 2113 1935 1798 1683 1556 1399 1219 1238 1559 2041 2449 2861 3203 3307 3213 3027 2880 2669 2449 2255 2134 2090 2100 2101 2029 1898 1822 1744 1547 1266 1041 1037 1193 1244
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65 50 35 34 50 66 75 81 85 83 76 70 61 51 50 50 57 65 65 65 72 92 103 83 82 65 57 57 57 53 43 35 29 28 27 25 25 26 24 21 15 15 13 11 9 8 8 10 17 21 21 25 26 21 16 15 19 21 20 21 20 19 18 17 16 14 14 13 13 13 13 14 13 12 12 12 12 12 12 11 12 12 12 8 7 9 9 9 9 9 10 6 6 6 6 7 7 7 7 7 6 7 5 4 4 4 5 5 4 3 3 3 3 3 3 3 3 3 2 2 2 3 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 2 24 131 362 665 869 809 635 363 168 76 30 9 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 1 2 3 5 5 6 6 7 9 8 8 9 10 10 11 11 11 12 12 11 11 12 12 12 11 11 12 13 13 13 13 12 11 10 9 8 8 9 8 7 6 5 5 6 8 9 9 9 10 11 12 13 12 12 14 15 17 19 20 21 21 22 25 28 30 33 35 35 35 37 38 38 38 37 37 38 38 37 36 35 33 30 29 29 30 32 31 28 25 23 22 21 20 19 16 16 15 13 10 7 7 8 6 4 3 4 5 5 6 6 7 8 7 7 8 7 7 5 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 1 7 25 39 52 66 79 90 105 125 142 147 149 144 131 124 127 132 137 140 142 143 146 150 156 154 158 162 167 169 168 166 161 154 155 155 154 153 150 146 141 134 128 123 116 104 98 87 78 69 64 61 57 54 51 48 46 47 47 45 42 40 39 38 38 40 39 46 52 57 58 58 56 53 49 45 43 41 40 36 36 36 37 37 39 44 47 43 38 36 36 36 36 39 69 175 414 703 852 998 1285 1792 2206 2323 2200 1974 1789 1722 1699 1627 1524 1436 1395 1627 2125 2595 2996 3257 3272 3130 2929 2741 2577 2398 2215 2101 2024 1951 1886 1763 1610 1491 1524 1653 1594 1408 1170 1059 1115
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47 44 37 33 40 47 49 50 44 79 74 71 62 51 42 39 48 64 63 56 52 56 65 69 71 63 63 62 60 55 47 39 32 27 24 20 18 16 13 11 10 10 8 7 5 7 8 12 16 18 19 22 23 20 21 23 20 17 21 21 19 16 15 17 16 14 14 14 14 14 14 13 12 12 11 10 11 10 11 11 12 11 9 5 8 9 9 9 9 8 6 6 7 6 6 7 7 7 7 6 6 5 4 4 4 5 4 3 3 3 3 2 2 1 2 2 2 2 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 2 46 244 454 464 325 229 200 140 73 49 19 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 5 7 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 9 8 9 8 7 8 8 7 6 5 5 4 4 3 3 3 3 4 4 5 6 7 8 9 10 11 12 12 12 14 16 19 20 20 21 21 23 29 31 33 34 34 34 34 33 32 31 30 30 28 26 26 26 26 27 27 25 24 23 22 20 20 20 18 15 15 15 13 10 8 7 7 7 4 2 2 2 2 3 3 3 4 4 5 5 6 6 6 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 2 13 28 38 48 56 67 81 93 107 121 130 138 131 123 118 116 118 121 123 120 120 125 131 135 142 150 159 169 174 168 165 164 159 155 157 156 153 148 146 149 156 156 153 144 134 124 110 98 87 77 71 69 67 63 49 43 40 39 39 38 37 40 43 41 40 42 43 46 48 50 52 52 54 54 52 48 45 42 39 37 39 41 38 40 46 51 50 44 39 37 37 37 38 43 49 146 333 540 755 1024 1356 1754 2177 2267 2046 1799 1623 1519 1498 1514 1483 1625 1974 2406 2706 2939 3086 3127 3064 2918 2751 2600 2452 2334 2274 2216 2101 1957 1809 1623 1521 1563 1651 1680 1573 1338 1176 1152
38 36 37 38 40 43 45 46 47 63 62 63 58 47 40 38 42 52 61 58 52 56 60 58 64 70 68 62 58 50 42 34 29 25 22 20 19 19 19 13 10 9 7 5 6 9 12 17 19 19 21 22 22 20 21 21 19 16 20 20 18 15 14 15 15 14 14 14 13 14 14 13 12 11 10 9 11 11 11 11 12 10 8 7 9 9 9 9 10 8 7 6 6 7 7 7 6 7 7 6 5 4 4 4 5 5 3 3 3 3 2 2 2 1 2 2 2 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 10 91 363 389 223 94 54 47 35 26 21 7 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 1 1 1 2 3 4 5 6 6 7 7 7 7 7 8 7 8 8 7 7 7 7 7 7 7 8 7 7 7 6 6 5 4 4 4 3 2 1 1 1 2 2 3 4 4 6 7 8 9 10 11 12 14 15 16 18 19 19 19 19 23 25 28 30 31 32 31 30 29 27 25 25 24 24 24 25 26 26 24 23 22 21 21 20 20 17 15 14 14 12 10 8 7 7 6 4 2 2 2 2 2 2 2 2 2 3 3 4 5 5 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 13 28 38 47 55 63 73 86 99 114 121 125 120 114 109 105 104 108 115 117 116 118 118 119 126 136 147 156 161 160 163 166 165 160 159 156 150 146 148 156 162 161 157 152 146 137 126 113 100 87 76 69 67 66 53 44 39 36 35 35 34 38 42 43 44 45 45 47 48 49 50 51 50 53 54 53 52 49 44 39 39 41 42 43 45 49 50 48 43 39 38 38 38 40 47 79 200 390 606 892 1201 1466 1869 2062 2048 1885 1682 1538 1441 1443 1432 1539 1905 2334 2636 2835 2964 3035 3007 2890 2761 2623 2493 2387 2326 2256 2136 2021 1936 1742 1656 1685 1721 1690 1560 1375 1224 1216
22 28 33 35 36 38 39 39 42 46 47 47 50 47 42 38 35 42 56 58 48 45 46 48 62 73 68 59 55 48 40 34 30 26 23 21 22 23 20 13 9 7 5 5 6 12 19 24 26 23 21 22 20 18 17 16 16 18 16 17 17 15 14 14 14 13 14 14 14 14 13 12 11 10 9 9 11 11 11 11 11 8 8 9 9 9 9 9 8 7 6 7 7 7 6 6 7 6 6 5 4 4 4 4 5 5 3 3 3 3 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 7 57 225 398 162 59 25 11 8 8 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 3 4 4 5 5 6 6 7 7 7 7 7 6 6 6 7 7 7 7 6 6 5 4 4 4 4 3 2 1 1 0 1 1 0 0 1 1 3 4 4 5 6 8 9 11 12 14 15 15 17 17 19 19 20 21 23 25 27 28 28 27 26 24 22 22 23 24 25 26 26 24 22 21 19 19 19 18 16 14 14 13 12 10 8 7 7 6 5 3 2 2 2 1 1 1 1 2 2 2 3 4 4 4 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 14 27 36 43 51 57 63 77 90 105 113 114 111 107 103 99 97 99 106 112 116 118 117 118 122 127 133 137 141 148 156 162 165 163 160 156 151 148 151 160 165 166 163 158 153 147 138 127 115 101 86 76 70 68 60 50 43 36 35 34 35 39 42 45 47 49 48 48 50 52 53 51 48 51 57 60 58 55 51 44 41 43 45 45 46 47 50 51 48 41 39 40 41 43 46 53 106 241 426 695 1015 1222 1486 1769 1990 1973 1713 1544 1397 1327 1307 1386 1686 2093 2469 2730 2856 2931 2921 2864 2767 2644 2529 2444 2388 2335 2244 2114 2030 1879 1771 1764 1769 1687 1549 1427 1393 1382
17 28 35 35 33 35 37 36 38 40 43 44 45 50 49 45 42 51 61 62 52 42 42 50 63 71 62 56 55 50 43 37 31 27 26 25 22 17 14 13 11 9 6 6 7 16 24 27 26 22 18 18 18 16 15 15 15 17 16 16 13 13 14 13 12 12 13 13 13 13 13 12 12 10 9 9 11 11 12 11 11 7 8 9 9 9 9 9 7 7 6 6 7 7 7 7 7 7 6 5 4 4 5 5 4 4 3 3 3 3 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 2 27 163 375 220 67 22 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 4 5 5 6 6 7 7 7 6 6 6 6 6 6 6 5 5 5 4 4 3 3 3 2 2 1 1 0 0 0 0 0 0 0 0 1 1 2 2 3 6 8 9 11 12 12 13 15 15 17 18 19 18 19 20 21 22 23 22 22 21 20 21 23 24 24 24 24 23 19 18 17 16 15 14 13 13 12 12 10 8 7 7 6 5 3 2 2 1 0 0 0 0 0 1 1 2 2 3 4 4 4 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 14 26 35 42 48 56 56 69 81 93 100 101 99 96 97 97 96 98 101 105 110 116 119 120 124 125 125 122 124 133 142 148 153 159 161 160 157 158 161 162 166 171 169 162 155 151 144 138 129 117 103 90 80 74 70 63 52 38 35 35 38 42 45 47 49 51 53 52 48 53 55 53 51 52 55 59 60 58 55 51 46 43 45 47 48 48 48 54 52 47 43 42 43 49 52 51 63 111 239 483 790 1028 1216 1435 1746 1948 1758 1506 1342 1260 1247 1332 1551 1905 2315 2610 2745 2810 2834 2822 2753 2655 2574 2510 2469 2441 2379 2257 2110 1963 1864 1841 1811 1711 1574 1493 1461 1434
30 40 47 45 38 36 37 37 38 40 45 50 55 58 58 58 57 61 65 64 60 58 60 66 72 70 61 54 55 50 42 36 31 28 29 26 20 13 11 15 18 19 20 18 17 25 28 26 22 17 13 14 17 19 19 18 18 18 18 16 14 14 15 14 12 11 12 13 14 14 13 14 13 11 10 10 11 11 11 11 10 7 8 8 9 9 9 8 7 6 6 7 6 7 7 6 7 7 6 5 5 4 5 4 3 3 3 3 3 2 2 2 1 1 1 2 2 2 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 13 87 321 440 122 19 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 4 5 5 6 6 6 6 6 6 6 5 4 4 4 4 4 3 3 3 3 3 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 7 8 9 10 11 13 13 15 16 18 18 18 18 19 19 19 20 21 21 22 24 24 24 23 21 18 16 15 14 13 13 12 12 12 11 9 8 7 6 6 4 3 2 2 1 0 0 0 0 0 0 0 0 1 1 2 3 4 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 14 23 31 41 45 51 55 61 70 80 88 89 86 89 92 96 97 99 101 102 105 106 109 118 125 126 124 119 120 125 130 136 143 151 157 162 159 164 165 165 166 172 176 171 161 152 146 141 137 132 123 110 97 87 82 80 66 49 41 39 46 52 52 52 52 52 55 57 51 53 56 57 56 54 56 58 61 59 56 55 51 46 45 48 51 51 46 51 55 53 47 42 44 49 51 52 54 57 131 311 570 837 1065 1201 1402 1690 1804 1642 1454 1322 1290 1372 1558 1867 2259 2515 2640 2707 2740 2738 2704 2659 2614 2552 2515 2470 2395 2284 2151 2028 1953 1930 1885 1762 1619 1536 1447 1355
51 61 66 54 44 42 42 41 41 41 46 52 64 68 73 77 75 69 68 61 60 63 69 78 81 71 58 50 51 44 37 31 28 28 26 21 11 8 11 16 22 23 23 29 31 31 29 23 17 11 9 11 15 18 19 18 18 17 16 15 14 15 15 14 14 13 13 14 14 14 14 14 13 11 10 11 11 11 11 10 9 9 9 8 9 9 8 7 7 6 6 7 7 7 7 7 6 6 5 5 5 5 4 4 3 3 3 3 3 2 2 1 0 0 0 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 37 205 472 432 109 7 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 1 2 3 4 4 4 5 5 5 5 4 3 3 2 2 2 3 2 2 2 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 6 8 9 9 9 11 11 14 16 17 18 18 18 19 20 21 23 23 23 21 19 17 16 15 14 12 11 10 10 10 10 10 9 7 6 5 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 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 1 7 15 21 26 36 41 47 52 56 59 67 76 80 79 84 89 93 97 100 103 104 105 105 109 117 122 125 125 121 119 120 124 128 131 136 145 156 160 165 166 165 167 173 178 180 174 163 147 139 139 139 136 128 118 110 98 94 82 67 54 50 56 61 60 60 62 61 63 64 63 62 62 63 63 59 58 61 66 64 59 56 52 49 48 47 52 51 50 54 58 57 48 42 43 47 52 57 58 52 82 187 369 601 912 1099 1244 1416 1685 1766 1675 1546 1463 1531 1708 1993 2300 2511 2600 2630 2645 2650 2665 2677 2604 2529 2477 2426 2357 2266 2177 2098 2040 2009 1905 1776 1671 1573 1476 1413
64 74 72 52 44 45 47 47 45 45 46 51 64 73 82 88 88 82 75 64 59 63 68 75 78 71 57 46 41 33 28 26 28 28 24 19 15 11 13 22 29 29 31 34 35 33 28 21 15 8 6 7 11 15 16 16 16 15 15 14 15 15 15 15 15 14 15 14 14 14 13 13 12 11 10 11 11 11 11 9 8 9 9 8 8 9 7 7 6 6 6 7 7 7 7 7 6 5 5 5 4 4 4 4 4 3 3 3 2 2 2 1 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 19 119 407 581 366 88 5 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 1 1 2 2 3 3 3 4 4 3 2 1 1 1 1 2 2 2 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 4 5 5 7 8 10 13 15 17 17 18 19 19 19 21 20 19 18 16 15 14 13 11 9 9 8 9 9 8 7 6 5 4 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 14 19 22 30 36 42 46 49 52 57 63 70 75 79 85 90 96 101 103 104 103 104 110 119 122 123 123 120 118 116 117 123 124 122 130 141 150 159 164 167 171 175 177 179 179 176 161 148 142 140 140 139 134 132 125 117 105 89 71 63 68 74 74 74 73 73 75 76 77 76 71 70 69 63 60 60 69 72 66 58 52 51 51 47 50 51 51 51 55 56 49 44 44 47 52 61 63 56 55 89 220 391 692 995 1210 1342 1502 1646 1695 1738 1700 1863 2004 2173 2350 2495 2572 2568 2563 2562 2576 2561 2516 2461 2406 2362 2325 2259 2207 2169 2119 2058 1955 1846 1726 1582 1452 1431
62 71 64 43 38 41 44 45 46 47 48 50 56 67 73 77 78 80 77 71 65 65 68 67 66 63 55 43 32 25 22 25 33 29 22 19 18 20 26 32 35 34 33 30 32 31 25 19 13 6 5 5 9 13 14 14 14 14 14 14 14 15 15 14 13 13 14 14 14 13 13 13 12 11 11 11 11 11 11 9 9 9 8 9 8 8 7 7 7 7 7 7 7 7 7 6 6 5 5 5 5 5 4 5 4 3 3 3 2 2 2 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 20 108 360 673 683 329 75 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 1 1 1 1 2 2 2 3 6 10 13 15 15 16 17 17 16 16 16 15 14 13 12 11 9 8 8 8 9 8 7 7 6 4 4 4 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 7 13 17 21 26 31 36 40 43 46 50 55 61 73 75 79 87 95 99 102 102 103 104 108 113 118 122 124 123 121 119 118 118 120 118 121 128 133 140 152 163 171 175 178 176 175 179 173 160 148 143 141 144 144 146 145 141 132 116 94 79 80 89 91 86 82 79 80 83 88 91 81 77 74 69 64 61 66 73 71 64 51 50 52 51 51 51 52 51 52 53 52 49 48 49 55 60 60 58 51 42 121 258 495 843 1153 1346 1491 1595 1546 1719 1836 2024 2182 2303 2390 2439 2487 2497 2493 2480 2468 2448 2423 2385 2340 2311 2293 2275 2266 2250 2203 2131 2035 1903 1728 1543 1476 1494
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25 27 34 38 33 43 36 37 39 34 27 23 23 24 22 19 16 12 6 3 3 4 4 4 3 4 4 3 2 3 5 7 8 9 10 11 12 12 11 11 10 9 9 15 16 16 16 15 12 9 6 4 4 5 6 7 9 11 12 11 12 11 11 11 10 9 9 8 8 7 7 6 7 6 6 6 5 4 4 5 5 5 4 5 5 5 5 5 5 4 3 3 3 3 3 3 3 3 3 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 15 21 30 38 48 58 72 89 101 105 121 137 154 169 181 189 192 198 204 198 191 184 186 201 223 244 262 287 307 316 316 304 301 319 340 341 326 299 284 285 301 322 331 318 301 274 267 272 278 283 287 277 271 267 263 254 244 237 235 234 232 236 242 242 238 232 227 233 258 261 242 228 225 229 234 238 239 230 207 178 151 132 121 118 124 132 134 125 113 101 88 78 74 73 65 58 57 55 47 39 35 36 37 32 27 31 46 65 74 65 54 92 268 677 1050 1227 1303 1357 1398 1416 1472 1568 1689 1808 1911 2016 2118 2173 2201 2203 2202 2217 2229 2226 2218 2187 2124 2010 1831
28 32 37 44 47 51 50 47 42 39 34 30 28 28 24 19 13 9 6 3 2 3 4 4 4 4 3 3 2 3 2 4 6 7 8 9 10 10 10 9 8 8 10 16 17 16 14 11 7 5 4 4 5 6 7 8 10 12 12 12 11 11 11 10 9 8 9 8 8 6 6 7 7 7 6 5 4 4 4 4 5 5 4 4 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 12 18 26 33 42 50 64 85 101 107 120 136 153 168 182 194 200 208 208 201 195 193 198 208 227 250 270 288 309 325 330 324 323 333 339 337 325 307 291 282 292 317 337 345 333 306 285 272 259 255 270 274 274 275 280 276 265 256 252 248 234 232 235 238 242 243 237 229 260 272 261 243 231 230 235 237 237 229 214 192 167 147 131 123 125 135 143 142 133 115 94 83 80 78 70 61 58 57 51 43 36 36 36 32 27 27 37 64 81 75 59 56 156 455 875 1192 1263 1313 1323 1312 1308 1335 1409 1507 1603 1743 1913 2022 2061 2086 2086 2083 2066 2047 2030 2021 1988 1892 1716
25 29 33 37 41 48 56 46 38 35 30 28 30 31 25 17 12 9 7 5 4 3 3 4 4 4 4 4 4 4 4 4 4 5 4 4 5 6 7 7 7 8 10 13 13 12 10 7 4 4 5 5 6 7 9 11 12 13 13 12 11 11 10 9 8 8 8 7 6 6 6 7 6 6 5 5 4 4 4 4 4 4 4 4 4 5 5 4 3 3 3 3 3 3 3 3 3 3 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 15 22 30 38 45 57 81 98 109 121 134 148 163 176 189 199 209 212 212 208 202 202 212 225 239 261 285 310 326 333 338 344 345 341 347 354 359 348 320 308 323 343 375 386 368 328 284 256 242 249 262 279 284 285 286 282 276 271 270 259 247 243 247 256 262 258 250 264 273 267 250 235 232 234 237 236 231 223 209 191 167 140 129 127 133 141 146 145 129 104 91 86 83 72 62 59 59 55 48 41 40 38 35 28 25 29 54 75 80 66 52 103 295 676 1104 1219 1249 1248 1227 1195 1182 1228 1309 1414 1555 1748 1922 1997 1991 1958 1938 1911 1893 1892 1900 1880 1793 1627
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