Vorticity
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nan 4 4 4 4 4 4 4 3 3 4 4 3 3 3 3 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 4 4 4 5 4 4 3 3 3 3 4 4 5 5 4 4 4 4 5 5 5 5 5 5 4 4 3 3 2 2 2 2 3 5 5 5 5 6 6 6 5 4 5 6 6 5 4 3 4 5 6 6 5 4 3 4 5 5 5 5 4 4 4 5 5 4 3 3 3 4 4 4 3 3 3 3 4 4 4 4 4 4 4 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 4 4 4 5 4 4 3 3 3 3 4 4 4 5 5 6 6 6 6 6 6 6 6 6 5 5 5 4 4 4 3 3 3 3 3 3 6 9 11 8 4 3 5 8 8 6 3 2 3 6 8 11 13 11 6 5 8 9 10 9 7 5 6 8 10 11 11 10 8 7 8 10 11 10 9 8 8 10 12 13 13 14 16 15 11 8 8 10 9 7 4 2 2 5 8 10 8 4 2 1 1 3 4 3 2 6 10 10 5 2 3 3 2 1 -0 -4 -11 -13 -9 -1 7 14 18 19 15 11 8 7 7 8 8 8 7 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 6 5 5 6 7 9 11 15 23 24 16 9 8 8 6 5 6 6 6 7 7 6 5 5 5 5 6 6 6 5 5 6 6 4 -3 -10 -13 -7 2 4 -2 -6 -2 3 6 7 7 6 6 6 5 4 3 3 3 4 5 5 5 5 5 5 5 4 3 3 3 3 3 4 4 5 5 5 4 3 2 1 2 3 4 5 6 6 6 6 6 6 5 5 4 3 4 4 5 6 7 9 11 11 12 12 11 11 11 10 8 8 7 7 7 7 6 6 6 7 7 7 7 8 10 13 16 17 18 19 17 12 8 5 4 3 2 1 2 3 4 5 6 7 7 5 5 8 10 9 5 -1 -4 -1 1 -1 -6 -4 1 5 6 6 6 7 8 9 10 11 11 12 14 17 20 23 24 22 19 15 13 11 11 10 11 12 13 12 11 10 10 9 8 8 7 5 4 4 3 2 2 1 1 1 2 3 4 6 6 7 8 7 5 4 3 3 4 4 4 3 3 3 3 4 4 4 5 5 5 5 4 3 3 3 4 5 5 6 6 6 6 nan
nan 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 3 3 3 3 3 3 3 4 4 4 5 5 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 5 5 5 5 5 5 4 4 4 3 2 2 2 2 4 5 6 6 6 6 6 6 4 3 5 7 8 6 4 3 4 6 7 7 6 4 4 4 5 6 6 5 4 4 5 6 6 5 4 3 4 4 4 4 3 3 3 4 4 4 3 3 3 3 4 4 5 5 5 5 5 4 4 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 5 5 5 5 5 5 4 4 5 5 4 3 3 3 3 3 4 4 5 5 6 6 6 7 7 7 7 7 6 6 6 5 5 4 4 3 3 3 3 3 4 8 12 11 8 5 4 6 7 7 6 3 2 3 6 7 8 9 10 8 5 5 6 6 5 3 3 3 5 7 8 9 8 6 6 7 9 10 10 9 9 10 12 14 14 15 16 16 13 8 5 6 9 9 8 6 4 3 4 7 8 8 5 2 -0 0 3 4 3 4 5 7 7 5 3 4 4 3 -0 -5 -11 -13 -8 1 9 16 19 20 18 14 9 7 7 7 7 8 8 7 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 5 5 6 6 5 5 5 5 6 6 6 5 5 5 5 6 8 11 16 21 21 14 9 9 9 7 5 5 5 6 7 7 6 5 5 5 6 6 7 6 5 5 5 6 5 2 -5 -11 -9 2 7 -3 -11 -6 2 6 7 7 7 7 7 6 5 4 4 3 3 4 4 5 5 5 5 5 5 4 4 3 3 4 4 4 5 5 5 5 4 2 2 2 3 4 5 6 6 6 6 6 6 6 6 5 5 4 4 4 4 6 8 9 10 10 10 10 10 10 10 9 8 8 8 7 8 8 8 8 8 8 7 7 7 7 8 10 13 18 22 22 16 9 5 2 0 0 1 2 3 4 6 8 8 7 5 6 8 9 8 5 3 2 2 1 -2 -5 -3 1 5 6 6 6 6 7 8 9 10 10 12 14 16 18 19 18 15 12 11 10 9 9 9 10 11 10 10 9 9 8 8 7 7 6 5 5 4 3 2 2 1 1 0 1 3 4 6 7 7 7 6 5 4 3 3 3 4 4 3 3 3 4 4 4 4 5 5 5 4 4 3 2 3 3 4 4 5 5 6 6 nan
nan 3 3 3 3 3 4 3 4 4 4 4 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 4 4 5 5 4 3 3 3 4 4 4 5 5 5 5 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 2 2 2 2 3 5 6 6 6 6 6 5 4 4 5 7 8 7 5 4 5 7 8 7 6 4 4 4 5 6 6 6 4 4 5 6 6 6 5 4 4 4 4 3 2 3 4 5 4 4 3 3 3 4 4 4 5 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 5 5 4 4 4 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 4 3 3 3 4 4 4 4 5 5 6 6 7 7 7 7 7 7 7 7 6 6 5 5 4 4 3 3 3 3 4 8 12 12 10 9 8 7 6 6 4 3 2 2 4 6 6 7 7 7 7 6 4 3 2 2 2 2 3 4 5 6 6 4 4 4 5 6 7 8 9 10 12 14 14 14 15 13 10 5 3 3 6 8 9 8 6 5 4 5 6 6 3 -0 -3 -1 2 3 3 4 3 3 3 2 1 1 2 -0 -6 -13 -15 -10 -0 10 18 22 21 18 14 11 8 7 7 7 7 7 7 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 5 5 5 5 6 7 10 17 23 21 11 6 9 9 7 5 5 5 5 6 7 6 5 5 5 6 6 7 7 6 5 5 6 5 4 1 -7 -9 0 7 -2 -13 -12 -2 5 7 7 8 8 7 7 6 6 5 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 4 4 3 2 2 3 4 5 6 6 6 6 6 6 6 6 6 6 5 5 4 4 5 6 7 8 7 6 6 7 7 8 8 8 8 7 7 8 10 11 11 10 9 8 7 6 5 4 5 8 14 20 22 17 10 5 3 1 1 3 4 4 4 7 9 9 6 5 6 6 6 5 3 3 2 -0 -1 -2 -1 2 4 6 6 6 6 6 6 7 8 9 9 10 12 14 15 15 13 11 9 9 9 9 9 10 10 9 9 8 8 7 7 7 6 6 6 5 5 4 3 2 2 1 0 0 1 3 5 6 7 7 7 6 5 4 3 3 3 4 4 3 3 4 4 4 4 4 5 5 5 4 3 2 2 2 2 2 3 4 4 5 6 nan
nan 3 3 3 3 3 3 3 3 4 3 3 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 5 4 4 3 4 4 5 4 4 5 5 5 5 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 2 2 2 3 5 6 6 6 6 6 5 5 5 5 6 7 7 6 5 6 8 8 8 6 5 4 4 5 6 7 6 5 4 5 5 6 6 5 4 4 4 3 3 2 3 5 5 4 3 3 3 4 4 4 4 4 4 3 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 3 4 4 5 5 4 4 4 4 4 5 5 4 5 5 5 5 5 5 4 4 4 4 5 5 5 5 4 4 4 3 4 4 4 4 5 5 6 6 7 7 8 8 8 8 8 8 7 7 6 6 5 5 4 4 3 3 3 4 7 9 9 10 13 12 8 5 4 4 3 3 3 3 4 4 5 5 6 7 6 5 3 2 2 3 3 3 3 3 5 6 5 4 3 3 3 4 5 6 7 9 10 10 10 9 8 5 2 1 2 4 7 8 7 5 4 3 3 3 3 1 -2 -3 -1 2 3 3 3 3 2 1 -0 -1 -0 -1 -6 -13 -16 -12 -3 8 17 22 22 19 14 10 8 7 7 6 6 7 6 6 6 5 5 5 6 6 6 5 5 6 6 6 6 6 6 6 6 5 5 6 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 6 9 16 25 24 11 5 8 9 7 6 5 5 4 5 6 6 5 5 5 6 6 6 7 7 6 6 6 5 5 4 -1 -6 -3 3 -2 -12 -13 -3 4 6 6 7 7 7 7 7 7 6 5 4 4 4 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 4 4 3 2 2 3 4 5 6 6 6 6 5 5 5 5 5 5 5 6 5 5 5 5 6 6 5 3 3 3 4 6 6 6 6 5 6 7 9 11 12 11 10 9 8 7 4 2 2 5 10 16 19 15 9 5 4 4 4 5 4 4 4 6 7 7 6 5 5 5 4 3 2 0 -1 -2 -1 2 5 6 7 7 7 6 6 6 6 7 8 8 8 9 10 11 11 11 10 9 8 8 8 8 9 9 8 8 7 7 6 6 6 6 6 5 5 5 4 4 3 3 2 1 0 -0 1 2 5 6 7 7 7 6 6 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 2 1 1 2 3 3 3 3 4 5 nan
nan 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 3 3 4 5 5 4 4 5 5 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 6 6 6 6 6 6 5 5 5 5 7 7 6 6 6 7 7 7 6 5 5 5 4 5 6 6 5 4 4 5 5 5 5 4 4 3 3 3 3 4 5 5 4 3 3 4 4 4 5 5 4 4 3 3 4 4 5 5 5 5 4 5 5 5 5 5 4 4 3 4 4 4 4 4 5 5 4 4 4 4 4 5 5 5 5 5 4 4 4 3 3 3 4 5 5 5 5 4 3 4 4 3 4 5 5 6 6 7 7 8 8 8 8 8 8 8 8 7 6 6 5 5 4 4 4 4 4 4 5 4 7 13 14 10 7 6 4 3 3 3 3 3 3 3 5 6 6 5 5 5 5 4 3 3 3 3 3 3 4 4 3 2 2 2 2 4 4 4 4 4 4 4 3 3 1 -0 -0 1 3 4 4 3 2 1 1 2 1 0 -1 -1 -0 1 2 3 3 3 3 2 1 -0 -0 1 -2 -9 -14 -12 -4 5 14 19 21 18 13 9 7 7 7 7 6 6 6 6 6 5 5 6 6 6 6 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 6 7 13 24 27 15 6 7 8 7 6 6 4 4 5 6 6 5 5 5 5 5 5 6 7 7 6 6 6 5 5 3 -1 -4 -5 -8 -12 -8 -0 4 5 5 6 6 7 7 8 7 7 6 6 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 4 3 2 3 3 4 6 6 6 6 6 5 5 4 4 4 4 5 5 6 6 5 5 5 5 3 1 0 1 3 4 4 4 3 4 5 6 8 10 11 10 10 10 10 8 5 1 1 3 8 12 13 10 7 5 5 5 6 6 4 3 3 5 6 5 5 6 5 5 3 2 1 0 -0 0 2 5 7 8 7 7 7 7 7 6 6 7 7 8 8 8 8 9 9 9 9 9 8 7 7 7 7 7 7 7 6 6 5 5 5 5 5 5 5 5 4 4 3 3 2 1 0 -0 1 2 4 5 6 6 7 7 6 4 3 3 4 4 4 3 3 4 4 4 4 4 4 4 4 3 2 1 1 1 2 3 3 3 3 4 5 nan
nan 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 5 5 6 6 6 6 6 6 5 5 5 7 7 6 5 5 6 6 6 6 6 6 5 5 4 5 5 6 5 5 5 5 4 4 4 4 3 3 4 4 4 4 4 4 3 3 4 4 4 5 5 5 4 3 3 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 5 5 5 5 4 4 4 4 3 3 2 3 4 5 5 5 4 4 4 4 3 3 4 5 6 7 7 8 8 8 8 8 8 8 8 8 8 7 6 6 5 5 4 4 4 4 3 3 4 8 12 14 12 11 10 8 6 5 5 5 4 2 2 4 5 4 3 3 5 6 7 6 6 5 4 3 2 2 2 1 1 1 1 2 3 4 4 2 1 2 2 1 0 -1 -1 0 2 2 1 -0 1 2 1 1 2 1 -1 -1 0 2 2 2 3 3 3 2 2 2 1 1 1 -3 -10 -10 -5 2 10 16 18 16 13 9 7 7 7 7 7 7 7 6 6 5 5 6 6 6 6 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 10 20 27 21 10 7 6 6 7 6 5 4 5 7 7 6 5 5 5 5 5 5 7 7 7 6 6 6 5 6 4 -1 -9 -15 -15 -5 3 4 5 5 5 5 6 7 7 8 8 7 7 6 5 5 5 5 5 4 4 3 3 3 4 4 5 5 5 6 6 6 5 3 2 3 3 5 6 6 6 6 6 5 5 4 4 4 4 4 5 5 5 6 6 6 5 3 1 0 0 1 2 2 2 2 3 4 6 7 8 9 9 10 11 11 10 6 2 1 3 6 9 7 5 3 4 6 6 6 5 4 2 2 3 3 3 4 6 6 5 4 3 2 3 3 4 5 6 7 7 7 7 7 8 7 6 6 6 7 7 7 7 7 7 8 8 8 8 7 7 6 6 6 7 7 6 5 5 5 5 5 5 5 5 5 5 4 4 4 3 2 1 0 -0 0 2 4 5 6 6 7 7 6 4 2 2 4 5 4 3 3 3 4 4 4 4 4 4 4 3 2 1 1 2 3 3 3 3 4 4 5 nan
nan 5 5 5 6 6 6 6 7 6 6 6 6 6 5 5 5 5 4 4 4 3 3 4 4 4 4 3 3 3 3 3 3 4 5 5 4 4 5 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 5 5 5 4 4 3 3 3 3 3 3 3 3 4 5 5 6 5 5 6 7 6 5 5 6 7 7 6 4 4 5 6 6 6 6 6 5 5 4 4 5 6 6 6 5 5 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 5 5 5 4 4 4 4 4 3 3 2 3 4 5 5 5 4 4 5 4 3 3 4 5 6 7 8 8 8 8 8 7 7 8 8 8 8 8 7 7 6 5 5 4 4 4 3 4 8 12 13 13 14 15 15 11 9 8 8 7 5 3 2 3 4 4 2 3 5 7 9 10 10 8 6 5 4 2 0 -0 -0 -0 1 1 1 2 2 1 1 3 4 4 2 0 0 2 3 3 2 1 1 1 2 3 4 3 1 -1 -1 1 1 2 3 3 2 2 3 3 3 3 -0 -8 -12 -8 -1 6 12 16 16 13 10 8 7 7 7 7 7 7 6 6 6 6 6 6 6 6 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 8 17 27 26 15 8 6 5 5 6 7 6 6 6 6 6 5 5 6 6 5 5 6 7 7 6 7 6 5 6 6 3 -6 -17 -17 -7 2 5 5 5 5 5 5 6 6 7 7 8 8 7 7 6 5 5 5 4 4 3 3 3 3 4 4 5 5 6 6 6 5 4 3 2 3 4 6 6 6 6 6 5 5 4 4 4 4 4 4 4 5 5 6 7 6 5 3 2 1 1 1 1 2 2 4 5 5 6 7 8 10 10 9 10 9 6 3 3 4 5 6 4 2 2 3 6 7 7 6 5 4 3 2 0 0 3 6 7 7 6 5 6 6 6 6 6 7 7 7 7 7 7 8 8 7 6 6 7 7 7 6 6 7 7 7 8 7 7 6 6 6 6 7 7 6 6 5 5 5 5 6 6 5 5 5 4 4 4 4 3 1 -0 -1 0 2 4 5 6 7 8 8 6 4 2 2 4 5 4 3 3 4 4 4 4 4 4 5 5 4 3 2 2 3 3 3 4 4 4 4 5 nan
nan 6 7 7 7 7 7 7 7 7 6 6 6 6 5 5 5 4 4 4 3 3 3 4 4 4 3 3 3 2 2 2 3 4 5 6 5 5 5 4 4 4 3 3 3 4 4 5 5 6 5 4 4 4 4 5 5 4 4 3 3 3 3 3 3 3 3 4 5 6 6 5 5 6 7 7 6 5 5 7 7 6 4 3 4 6 6 6 6 6 5 4 4 4 5 5 6 6 5 5 5 4 4 3 3 3 3 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 5 5 5 4 3 3 3 4 4 4 3 3 3 4 5 5 5 5 5 5 4 3 3 4 5 6 8 8 8 8 8 7 7 7 7 8 8 8 8 8 7 7 6 5 5 5 4 4 4 8 14 17 15 14 15 14 11 9 8 8 6 4 2 2 3 5 5 5 4 5 6 9 11 11 9 7 6 5 4 1 -0 -0 -0 0 1 1 0 0 0 1 5 7 7 6 5 5 5 6 7 6 5 3 1 1 3 5 4 2 -0 -1 -1 1 2 3 2 2 3 4 5 5 4 -4 -12 -13 -5 4 10 13 14 13 11 9 7 7 7 7 7 7 7 6 6 6 6 6 6 6 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 12 24 29 22 13 8 5 4 5 8 8 6 6 6 5 4 5 6 7 6 5 6 6 5 6 8 9 7 6 6 5 -1 -14 -19 -10 1 5 5 5 5 5 5 5 5 6 6 7 8 8 8 7 6 6 6 5 5 4 3 3 3 3 4 4 5 6 6 6 5 4 2 2 2 4 5 6 6 6 5 5 4 4 4 4 4 4 4 4 4 5 7 8 8 7 5 4 3 2 2 2 3 4 5 6 6 6 7 11 13 10 7 7 7 5 3 4 4 4 4 3 2 3 4 5 6 6 5 5 4 3 2 1 0 2 6 9 9 9 8 8 8 8 7 7 8 8 8 7 7 7 7 6 6 5 6 6 7 7 6 6 7 7 7 7 7 6 6 6 6 7 7 7 7 6 5 5 5 5 6 6 6 6 5 5 5 4 4 3 1 -0 -0 1 2 3 5 6 7 7 7 6 4 3 3 4 4 3 2 2 3 4 5 5 5 5 6 5 5 4 3 3 3 4 4 4 4 4 4 5 nan
nan 8 8 8 8 7 7 7 7 7 6 6 6 5 5 5 5 5 5 4 4 4 4 4 4 3 3 3 3 2 2 2 3 4 5 6 6 6 5 4 4 4 3 3 3 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 5 6 6 6 5 6 7 7 6 5 4 5 7 7 5 4 4 6 6 6 6 6 5 4 4 4 5 5 5 6 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 3 4 5 5 5 5 4 3 3 4 4 4 4 4 3 4 4 5 5 5 5 5 5 4 4 4 4 5 7 8 9 9 8 8 7 7 7 8 8 8 8 8 8 8 8 7 6 5 5 5 4 4 6 11 17 17 12 10 9 7 5 4 4 3 2 1 1 2 5 7 7 7 5 4 4 6 8 8 7 5 4 3 2 3 3 2 1 2 3 2 1 -0 2 5 8 8 8 8 9 8 7 7 6 6 4 2 1 2 4 4 3 1 -0 -0 1 3 3 3 3 4 5 6 6 1 -8 -13 -9 1 8 12 13 12 10 9 8 7 7 7 7 7 6 6 6 6 6 6 6 6 6 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 7 17 25 26 22 16 9 5 6 9 9 8 7 6 5 4 3 6 8 7 6 6 6 4 4 9 11 8 6 5 5 1 -11 -19 -11 1 5 6 5 5 5 5 5 5 5 5 6 7 8 8 8 8 7 6 6 5 5 4 3 3 3 4 4 5 6 6 6 5 3 2 1 2 3 5 6 6 6 5 5 4 3 3 3 3 3 3 3 4 5 6 8 8 8 7 5 4 4 3 3 4 5 6 6 6 7 10 14 14 10 6 5 4 3 3 4 5 5 4 4 4 5 5 6 5 4 4 3 1 2 3 3 2 3 6 9 10 10 9 8 8 8 7 7 8 9 9 8 7 6 6 5 4 5 5 6 6 6 6 7 7 7 7 7 6 5 5 6 7 7 7 7 7 6 5 5 5 6 6 6 6 6 6 5 5 5 4 3 1 0 -0 0 2 3 4 5 6 7 7 7 5 3 3 4 4 3 2 3 4 4 5 5 5 6 6 6 5 4 3 3 3 4 4 4 4 4 4 4 nan
nan 8 8 8 7 7 7 7 6 6 6 6 5 5 5 5 5 5 5 4 4 4 4 4 3 3 3 3 3 3 2 2 3 4 5 6 6 5 5 5 5 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 6 6 6 5 5 6 6 6 5 4 5 7 7 6 4 4 5 5 6 6 6 5 5 4 4 5 5 5 5 5 5 5 5 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 5 5 5 5 4 3 3 4 4 4 4 4 4 4 5 5 5 5 6 6 5 5 4 4 5 6 7 8 9 9 8 8 8 8 8 9 9 9 9 9 9 9 8 8 7 6 6 5 5 4 5 7 12 14 10 5 3 3 2 1 0 1 1 1 1 2 3 5 7 6 4 1 0 2 5 7 7 6 5 5 5 7 7 6 5 5 5 4 1 -0 3 7 9 9 8 8 8 7 5 4 3 4 4 2 2 2 4 5 4 3 2 1 2 3 4 4 3 3 4 4 3 -4 -11 -11 -3 6 11 13 12 10 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 9 15 21 25 23 17 12 11 12 12 11 10 8 6 4 2 3 7 8 8 8 8 4 5 10 11 8 6 5 5 1 -10 -17 -10 1 5 6 6 6 5 5 5 5 5 5 5 6 7 8 8 8 8 7 7 6 5 4 3 3 3 4 4 5 6 7 7 5 3 1 0 1 3 4 5 6 5 5 5 4 3 3 3 3 2 3 3 3 4 6 7 8 8 7 5 4 4 4 4 5 6 6 7 7 9 13 15 12 8 6 5 3 2 3 4 5 5 5 5 5 6 6 5 3 1 1 -0 -2 1 6 6 4 5 8 11 11 10 9 8 8 8 7 7 8 9 9 8 7 6 6 6 5 5 5 6 6 6 6 7 6 7 7 6 5 4 4 5 7 7 8 7 6 5 4 4 5 6 6 6 6 6 6 6 6 5 4 3 1 0 -1 0 1 3 4 5 6 6 7 7 5 4 3 3 4 3 3 3 4 5 5 5 6 6 7 7 6 4 3 3 4 4 4 4 4 4 4 4 nan
nan 7 7 7 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 5 5 6 6 5 5 5 6 6 5 4 4 6 7 7 6 4 4 5 5 6 6 6 5 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 5 5 4 4 5 5 5 5 6 6 5 5 5 5 5 7 8 9 9 9 8 8 9 10 10 11 11 11 10 10 10 9 9 8 8 7 6 6 5 5 5 6 10 12 9 5 3 2 2 1 1 2 2 3 3 4 3 3 3 4 4 2 0 2 4 7 8 7 7 8 9 11 12 11 8 6 4 1 -1 -1 3 7 9 9 6 4 3 2 1 -0 -0 2 4 4 3 4 5 6 5 3 3 3 4 4 4 4 3 2 2 2 -0 -7 -12 -7 2 8 11 11 10 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 7 11 16 20 19 17 16 15 16 16 16 14 12 9 6 4 4 6 7 9 9 7 8 12 11 8 6 6 6 -1 -11 -14 -6 2 5 6 6 6 6 5 5 5 5 5 5 5 6 7 7 8 8 8 8 7 6 5 4 3 3 4 4 5 7 8 9 7 3 -2 -3 -1 2 4 5 6 5 5 5 4 4 3 3 2 2 2 2 3 3 5 7 8 8 6 5 4 4 4 5 6 6 7 6 7 10 15 16 10 5 5 5 3 2 3 4 5 6 6 6 6 5 4 1 -2 -2 -1 -2 -2 3 8 7 6 7 9 11 12 10 8 7 7 8 7 7 8 9 9 7 6 6 7 8 8 7 6 7 7 6 6 6 6 6 6 5 4 3 3 4 6 8 8 7 5 4 4 4 5 6 6 6 6 6 6 6 6 5 4 3 1 -0 -1 -0 1 2 3 5 5 6 7 7 6 4 4 3 3 3 3 3 4 5 5 5 6 7 7 7 6 4 3 3 4 4 4 4 4 3 3 3 nan
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CAPE
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45 45 48 49 47 44 42 40 41 41 41 43 45 47 47 47 47 49 49 47 49 49 50 50 51 53 55 54 50 45 40 37 39 43 41 40 43 47 49 47 46 48 42 33 27 25 27 27 25 27 29 32 35 31 25 19 14 13 16 17 17 14 12 11 13 16 16 18 18 15 12 10 11 13 12 10 10 10 11 12 13 11 9 7 9 11 12 11 9 7 8 10 10 10 10 10 10 10 9 8 7 7 8 8 8 8 7 5 5 5 5 5 5 5 6 6 5 5 4 3 3 4 4 3 4 5 4 4 5 6 4 4 4 4 4 4 4 4 4 4 5 14 45 117 238 401 548 596 585 529 395 456 845 1028 917 1184 1769 2139 2027 1768 1816 1926 1930 1897 1915 2073 2242 2467 2608 2722 2777 2766 2698 2459 2003 1583 1370 1343 1388 1447 1560 1692 1792 1871 1936 1975 1994 1993 1973 1949 1906 1919 1977 2015 2010 1983 2137 2385 2282 1750 1491 603 95 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 28 76 112 129 143 160 167 170 172 175 171 161 151 141 134 133 131 127 122 118 116 110 110 104 99 99 96 89 83 79 76 74 74 76 78 80 82 82 83 83 85 87 87 85 82 81 81 81 79 77 74 71 72 71 69 66 65 65 65 65 66 63 61 57 49 43 44 50 57 57 55 55 53 52 51 51 50 47 48 59 64 64 63 61 58 57 57 54 51 50 52 52 51 54 57 60 60 62 62 63 64 65 67 68 71 73 75 76 79 78 72 56 54 63 52 39 34 25 28 33 38 39 41 39 37 36 38 37 35 32 39 41 38 34 29 25 22 18 16 15 14 13 12 11 10 8 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 11 41 149 473 1039 1583 1959 2205 2378 2553 2701 2745 2829 2927 2896 2718 2418 2217 2107 2047 2047 2064 2140 2187 2184 2436 2849 3073 3125 3026 3214 3473 3505 3408 3401 3452 3563 3728 3699 3415 3028 2821 2885 2970 3057 3348 3733 3899 3519 2996 3005 2899 2722 2535 2282 2000 1991 2103 2152 2112 1940 1683 1616 1805 1981 2355 2860 3080 2890 2510 2138 1850 1711 1515 1458 1301 1305 1418 1497 1517 1381 1229 1183 1241 1461 1759 2095 2366 2521 2590 2739 2977 3329 3534 3473 3264 2999 2703 2629 2801 2781 2703 2666 2613 2647 2651 2706 2694 2736 2613 2198 1679 1304 1199 1243 1282 1276 1277 1283 1277 1289 1397 1571 1800 2050 2283
46 46 48 47 46 41 39 38 38 36 36 39 42 45 48 49 50 50 49 48 47 47 47 47 50 51 54 54 49 43 39 37 40 43 42 44 44 48 53 53 49 43 40 33 29 27 27 26 25 28 30 32 33 28 23 17 13 13 18 21 20 17 14 12 14 16 17 19 18 14 12 11 10 13 11 8 10 10 11 12 12 10 9 8 8 11 12 12 11 9 7 8 10 10 10 10 10 10 10 9 8 7 7 8 8 8 8 7 4 5 6 5 6 5 6 5 5 5 5 4 3 3 3 4 3 3 3 4 4 6 6 5 4 4 4 4 4 4 4 4 4 7 23 67 153 279 406 475 477 416 316 392 746 1022 797 1066 1718 2010 1872 1820 1888 1851 1863 1909 2003 2158 2288 2391 2521 2649 2694 2694 2641 2472 2099 1651 1338 1230 1258 1300 1367 1459 1557 1647 1706 1726 1732 1749 1734 1737 1809 1815 1814 1881 1957 1994 2060 2240 1259 1137 937 245 27 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 42 81 108 123 137 152 159 162 161 164 161 151 142 136 132 131 130 126 122 123 123 115 107 101 96 96 90 80 75 75 77 78 76 77 79 81 83 83 83 82 81 81 81 79 78 77 76 75 74 72 73 74 71 70 68 64 60 60 61 61 61 61 61 60 55 48 45 49 56 56 54 53 53 53 53 53 53 50 45 46 54 57 59 61 60 61 61 57 52 50 52 50 47 48 51 54 55 56 58 60 62 62 63 64 66 67 69 71 74 75 73 69 56 55 57 39 22 12 17 28 35 37 39 38 40 39 41 42 45 41 42 42 39 35 30 26 22 18 16 15 14 13 11 11 10 8 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 48 210 588 1130 1774 2241 2539 2815 3066 3005 2930 3068 3057 2832 2607 2364 2122 2032 2033 2063 2123 2114 2115 2264 2416 2728 2922 2940 3163 3543 3487 3282 3220 3261 3398 3629 3790 3573 3025 2619 2597 2803 2982 3082 3298 4122 3904 3220 3027 2950 2808 2612 2411 2181 2042 2041 2130 2175 2053 1763 1618 1770 1876 2063 2351 3083 3147 2794 2398 2092 1908 1634 1585 1487 1333 1277 1315 1371 1354 1246 1213 1245 1437 1745 2220 2436 2541 2657 2820 3004 3296 3475 3436 3285 3133 2981 2932 3083 3049 3124 3065 2935 2852 2815 2791 2714 2619 2445 2128 1673 1369 1335 1334 1298 1268 1285 1303 1322 1352 1433 1559 1724 1905 2096
41 41 39 37 40 39 38 38 36 36 36 38 40 44 51 52 51 50 49 48 47 47 46 48 52 53 55 55 52 48 45 42 41 42 43 43 42 44 44 43 67 48 42 34 31 31 32 29 27 29 31 30 28 23 20 16 13 13 17 18 19 19 17 17 17 18 20 19 16 13 11 9 11 12 9 7 10 11 12 11 10 9 8 7 8 10 12 12 12 11 7 7 9 10 10 10 10 10 11 10 10 8 7 7 8 8 8 8 6 4 5 6 5 5 6 6 5 6 5 4 4 4 4 3 3 3 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 11 34 88 188 308 388 387 302 217 304 583 846 677 851 1465 1838 1940 1951 1904 1813 1921 1898 1929 2094 2264 2394 2495 2560 2555 2542 2547 2475 2187 1783 1383 1167 1156 1187 1226 1316 1450 1578 1645 1644 1638 1625 1637 1750 1793 1648 1573 1648 1764 1875 1920 1912 977 558 218 19 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 1 14 50 86 109 121 133 146 153 158 157 158 151 141 135 133 130 127 126 126 126 122 115 110 102 96 93 91 81 76 74 74 75 75 75 77 79 81 83 81 78 76 74 72 70 68 68 69 68 69 69 70 70 69 66 65 63 58 55 55 57 58 59 60 60 60 59 55 49 49 53 53 51 52 53 55 55 54 54 53 51 46 52 53 53 56 60 63 64 61 56 56 57 52 45 43 46 49 50 50 53 56 58 59 61 62 63 64 64 66 68 71 72 71 68 65 60 47 26 11 12 21 31 32 35 34 36 39 41 44 45 44 44 44 41 38 33 28 24 21 18 15 13 11 8 6 9 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 9 56 296 691 1408 2021 2533 3035 3272 3323 3424 3270 3019 2845 2663 2421 2205 2046 1901 1949 2043 1997 1947 2033 2290 2537 2580 2566 2873 3335 3494 3397 3242 3179 3257 3496 3816 3736 3156 2573 2392 2623 2920 2916 3135 3898 3930 3487 3144 3003 2858 2620 2413 2300 2172 2112 2187 2188 2115 1974 1891 1942 2007 1923 2158 2750 2952 2757 2542 2340 2122 1897 1726 1619 1526 1410 1310 1294 1254 1174 1098 1090 1396 1723 2100 2306 2453 2632 2848 3074 3276 3399 3370 3270 3187 3120 3082 3038 3009 3020 2964 2830 2724 2672 2607 2529 2445 2285 1949 1544 1480 1517 1437 1282 1260 1288 1300 1341 1382 1440 1532 1649 1790 1977
35 37 38 36 35 35 34 33 33 35 37 40 41 44 49 53 52 51 51 49 47 46 46 48 52 54 55 54 54 55 52 47 44 44 40 37 37 37 33 31 45 55 50 37 32 33 33 33 30 31 28 29 25 20 18 16 14 14 16 16 16 18 19 20 19 22 21 18 15 13 11 9 10 11 8 7 9 12 12 9 7 7 7 8 9 11 13 13 12 12 11 8 7 8 9 10 10 10 10 10 10 10 8 8 7 8 8 8 6 4 4 5 5 5 5 5 5 5 5 6 5 4 4 4 3 3 4 5 5 6 6 6 5 4 4 4 4 4 4 4 4 4 6 20 56 122 205 280 298 223 145 209 402 597 586 755 1194 1868 2038 1977 1887 1762 1907 1881 1893 2019 2216 2384 2500 2524 2471 2443 2468 2463 2275 1997 1588 1298 1156 1155 1197 1313 1480 1642 1741 1726 1723 1646 1738 1895 1768 1501 1375 1325 1303 1419 1669 1620 689 171 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 16 55 91 111 119 124 134 138 143 140 147 139 134 137 138 132 124 121 121 122 118 111 104 97 93 92 87 77 75 75 74 73 74 74 74 75 75 74 71 68 66 65 64 64 63 64 65 64 64 66 64 61 57 56 58 57 57 58 57 56 56 58 60 62 61 59 58 55 53 51 53 53 52 57 58 57 55 54 54 55 47 52 54 53 51 51 55 61 62 63 64 63 58 50 44 44 45 45 46 48 52 54 56 57 59 61 62 62 63 63 65 67 67 66 61 55 44 19 12 10 13 20 18 22 20 22 32 38 42 44 44 44 43 41 39 36 32 27 19 14 11 9 5 4 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 201 530 1086 1648 2133 2628 2967 3274 3404 3128 2807 2633 2456 2271 2204 1960 1742 1841 1962 1996 1769 1676 1997 2328 2510 2483 2600 2945 3294 3451 3358 3194 3223 3391 3787 3875 3377 2638 2202 2383 2741 2831 3059 3525 3833 3661 3284 3068 2911 2664 2418 2257 2132 2056 2119 2091 2086 2069 2012 2021 2000 1914 2156 2608 2820 2680 2495 2341 2124 1909 1709 1607 1609 1521 1401 1319 1244 1167 1102 1172 1351 1522 1812 2099 2335 2584 2825 3050 3212 3279 3239 3162 3118 2984 2886 2863 2835 2762 2653 2547 2471 2405 2364 2338 2299 2135 1791 1509 1558 1580 1435 1280 1240 1224 1231 1278 1334 1380 1450 1558 1711 1965
30 31 33 32 31 29 26 28 31 33 37 41 42 44 45 47 49 51 52 51 47 44 44 46 49 53 55 54 56 56 54 50 44 41 37 38 36 32 29 28 29 37 45 41 34 33 33 35 31 32 26 31 23 20 17 16 16 16 16 15 14 14 15 17 19 24 21 18 16 14 11 9 11 10 8 6 9 12 10 7 5 5 6 8 11 12 13 13 13 13 13 11 8 7 6 7 9 10 10 10 10 10 11 10 8 7 8 8 7 5 4 5 6 5 6 6 6 6 6 6 5 3 3 4 3 3 4 5 6 6 6 5 6 5 4 4 4 4 4 4 4 4 4 10 31 70 129 201 244 187 162 219 295 389 539 909 1235 1675 1893 1891 1813 1666 1774 1859 1854 1949 2122 2349 2490 2517 2453 2402 2429 2433 2323 2164 1884 1643 1411 1309 1315 1404 1548 1684 1790 1770 1753 1685 1770 1840 1572 1227 971 734 633 854 1305 1331 473 53 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 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 2 17 57 88 102 111 117 124 131 138 139 141 136 136 137 135 129 119 115 116 116 114 109 102 94 88 87 79 73 73 73 72 72 71 71 69 68 65 62 60 59 59 59 60 61 61 59 59 57 56 56 56 55 56 56 55 56 57 57 56 54 53 55 59 62 61 59 59 58 57 55 56 55 51 60 62 62 60 58 58 58 56 56 57 55 52 51 52 54 57 62 65 66 65 62 54 45 44 42 42 44 48 51 52 53 55 57 59 61 62 62 62 62 62 61 58 54 47 26 18 15 14 15 14 14 13 15 24 32 38 41 43 44 43 41 38 36 33 26 16 16 9 1 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 0 38 192 453 813 1197 1553 1984 2477 2889 3048 2876 2571 2432 2314 2317 2140 1828 1644 1693 1805 1944 1551 1406 1915 2435 2597 2523 2512 2696 2988 3257 3320 3261 3295 3390 3730 4019 3613 2857 2333 2323 2612 2863 2956 3374 3987 3939 3411 3112 2887 2602 2607 2354 2077 1942 1995 1893 1942 2067 2017 1988 1928 1900 2134 2618 2920 2751 2416 2167 1970 1794 1685 1634 1589 1463 1340 1185 1193 1156 1122 1252 1411 1498 1698 2006 2256 2512 2742 2961 3072 3102 3055 2942 2807 2665 2569 2521 2530 2546 2441 2293 2203 2120 2091 2097 2123 1998 1774 1676 1601 1554 1422 1262 1151 1119 1132 1170 1244 1303 1368 1480 1677 2067
22 23 25 26 26 24 23 21 27 30 32 35 37 40 43 47 50 51 51 50 47 42 44 45 49 55 57 56 56 55 52 49 44 38 34 32 34 32 31 24 24 27 34 34 34 35 31 33 30 30 27 30 23 20 15 14 19 17 17 15 12 10 11 13 17 24 22 20 18 14 10 10 11 11 7 6 10 12 10 7 4 4 6 9 11 13 13 13 13 13 13 12 10 7 5 6 8 9 10 10 10 11 10 11 10 7 7 7 8 8 6 5 5 6 5 5 6 5 5 4 4 4 3 4 3 4 3 5 6 6 6 6 6 5 4 4 4 4 4 4 4 4 4 7 21 52 95 152 198 161 229 430 418 300 444 795 1077 1409 1720 1831 1788 1688 1725 1858 1840 1928 2080 2310 2466 2548 2501 2446 2442 2397 2304 2214 2120 2041 1902 1741 1654 1654 1711 1781 1838 1815 1797 1757 1653 1524 1206 775 440 220 144 307 654 712 239 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 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 3 22 62 85 99 108 114 122 130 137 132 125 128 131 127 124 121 116 112 111 110 107 103 96 88 83 78 72 71 71 71 72 73 71 67 64 63 61 58 56 56 55 55 54 54 55 55 56 55 54 55 56 58 59 58 57 56 57 56 55 53 52 54 56 56 55 55 55 55 56 57 56 56 51 57 58 58 59 60 61 64 65 63 62 60 58 56 54 53 53 54 60 64 66 66 61 51 45 42 41 42 44 46 47 48 50 53 56 59 61 61 62 62 62 59 56 50 49 36 23 21 20 19 18 15 13 12 10 22 33 38 43 46 44 40 36 33 31 34 26 28 14 6 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 7 19 51 133 214 333 536 861 1189 1500 1876 2241 2461 2433 2184 2252 2157 2222 2106 1930 1732 1675 1702 1909 1670 1493 1837 2366 2632 2601 2527 2564 2725 2992 3170 3285 3383 3464 3758 4023 3701 3068 2544 2398 2668 2984 3023 3340 4016 3978 3419 3102 2968 2843 2845 2531 2065 1829 1904 1844 1875 2006 2063 2010 1908 1880 2100 2590 2898 2730 2312 2038 1856 1766 1801 1781 1658 1525 1454 1295 1140 1053 1045 1221 1450 1541 1715 1947 2173 2429 2634 2798 2879 2908 2873 2735 2567 2419 2247 2095 2117 2292 2215 2040 1992 1958 1882 1853 1880 1860 1758 1637 1575 1574 1477 1299 1154 1089 1071 1079 1117 1223 1309 1443 1738 2230
13 13 15 18 20 22 22 20 22 25 25 28 30 34 41 49 56 57 56 53 48 45 48 49 51 54 55 56 56 54 50 47 44 38 34 32 32 31 30 22 23 25 28 28 32 30 30 30 26 25 24 24 23 16 17 16 19 18 20 16 13 12 12 12 18 24 23 19 17 14 10 11 11 12 7 6 11 12 10 7 4 5 8 11 12 12 13 13 13 13 12 10 9 7 5 5 6 7 9 10 10 11 10 10 10 6 5 6 8 7 8 6 5 5 5 5 5 5 5 4 4 3 3 3 3 3 3 5 6 6 6 6 6 5 4 4 4 4 4 4 4 4 4 5 12 35 69 121 168 207 295 519 598 403 382 635 982 1280 1453 1680 1743 1685 1722 1842 1832 1962 2149 2306 2459 2542 2535 2525 2479 2364 2241 2122 2120 2246 2241 2173 2085 2026 2010 2011 2008 1960 1893 1796 1648 1353 873 367 118 34 9 12 43 61 27 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 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 4 25 63 91 102 106 112 120 120 121 120 116 119 121 118 116 115 113 111 108 106 103 99 92 86 82 76 72 73 72 70 70 70 66 63 60 58 56 55 54 54 55 56 56 57 57 56 58 61 59 55 57 56 54 55 55 53 52 51 51 53 52 52 53 51 48 48 48 47 49 50 49 51 50 51 51 50 49 49 52 56 59 62 62 62 63 62 59 57 55 53 58 63 67 68 64 56 48 46 46 45 44 46 46 46 48 50 53 57 60 61 62 62 62 59 55 51 50 48 41 31 27 26 25 21 18 16 16 18 24 32 41 47 43 35 32 29 27 30 32 29 16 6 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 30 71 165 250 334 510 773 1017 1218 1461 1731 1821 1894 1817 2109 2176 2281 2224 2105 2035 1847 1796 1897 1755 1490 1691 2344 2702 2580 2358 2340 2510 2710 2897 3104 3352 3577 3919 4054 3708 3134 2690 2594 2859 3114 3155 3519 4102 3940 3352 3121 3078 3067 2981 2730 2323 1900 1836 1837 1854 1936 2023 2044 1937 1916 2106 2601 2912 2633 2156 1931 1787 1776 1843 1806 1664 1566 1492 1406 1276 1130 995 1144 1432 1586 1680 1869 2090 2321 2497 2625 2711 2758 2734 2626 2497 2363 2160 1919 1883 2002 1936 1804 1869 1831 1781 1757 1736 1724 1653 1581 1613 1623 1544 1415 1227 1116 1013 1002 1006 1104 1248 1464 1835 2380
5 4 6 10 15 19 21 20 20 21 22 25 29 33 40 50 62 62 60 56 50 49 51 51 52 52 53 56 57 53 48 46 44 42 40 35 31 29 28 25 25 25 25 28 32 30 31 28 23 21 20 20 20 16 15 15 15 18 20 16 15 16 13 13 21 23 21 18 16 13 9 10 12 12 7 6 12 13 11 8 5 5 9 12 12 12 13 13 12 12 11 8 7 6 5 3 4 6 8 10 10 10 10 10 9 6 4 5 7 8 7 7 6 5 5 5 5 5 5 4 4 3 3 3 4 3 3 4 5 6 6 6 6 5 4 4 4 4 4 4 4 4 4 5 9 23 54 109 160 232 338 482 667 620 457 396 593 969 1356 1658 1729 1674 1688 1803 1845 1969 2123 2331 2387 2506 2501 2540 2500 2344 2142 1960 1926 2037 2213 2339 2333 2316 2290 2248 2176 2078 1968 1787 1602 1259 588 143 20 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 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 28 67 92 102 105 111 118 115 111 114 116 119 116 111 111 113 113 110 104 100 96 91 85 80 77 75 74 74 72 71 69 66 63 61 58 56 55 53 53 54 54 54 52 53 53 54 55 55 54 54 56 54 51 52 52 51 49 50 51 52 51 49 48 47 46 45 45 44 44 44 44 45 46 46 47 46 46 45 45 44 45 46 47 52 58 61 62 63 63 62 63 66 70 70 64 57 52 48 47 47 46 46 47 46 47 49 52 54 57 59 61 61 61 58 55 51 51 54 59 44 37 34 33 31 27 22 20 21 22 25 30 43 34 21 23 21 13 15 21 15 8 5 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 40 97 199 348 481 588 729 891 1010 1137 1257 1344 1439 1599 1839 2049 2231 2190 2044 1930 1909 1959 1917 1664 1475 1636 2500 2814 2654 2346 2229 2361 2442 2515 2737 3133 3626 4086 4140 3677 3098 2807 2842 3082 3214 3205 3549 4190 3882 3464 3228 3106 3037 2964 2850 2578 2207 1973 1874 1830 1850 1865 1995 1956 1961 2105 2582 2874 2577 2167 1892 1708 1653 1699 1638 1539 1519 1444 1318 1253 1223 1055 1124 1389 1599 1652 1794 2010 2221 2366 2487 2613 2667 2648 2596 2543 2451 2277 2032 1929 1848 1840 1774 1783 1762 1739 1705 1646 1604 1540 1455 1470 1509 1510 1360 1201 1095 957 909 896 968 1187 1482 1876 2421
1 0 1 6 12 18 22 23 22 20 20 21 26 36 43 53 65 59 58 55 51 51 50 50 52 53 54 57 60 56 49 46 45 46 45 38 30 29 30 32 31 27 25 28 31 30 28 26 22 20 19 20 19 16 13 12 14 17 19 18 14 16 13 16 24 21 18 17 14 11 8 10 14 12 8 6 10 13 12 9 6 5 7 10 11 12 13 13 13 11 9 7 5 6 5 3 3 4 7 9 10 11 10 9 8 6 4 4 5 7 7 7 8 6 5 5 6 6 5 5 4 3 4 5 5 4 4 4 6 6 5 6 6 6 4 4 4 4 4 4 4 4 4 4 8 21 54 115 185 257 372 520 678 794 758 520 370 632 1205 1600 1702 1691 1697 1777 1874 2024 2148 2280 2322 2419 2464 2523 2517 2362 2101 1872 1810 1817 1958 2187 2323 2389 2436 2419 2304 2125 1976 1854 1597 1217 445 56 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 2 0 1 2 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 29 67 87 95 102 107 112 112 114 119 120 117 108 104 105 107 106 102 97 92 84 79 81 76 73 73 75 73 71 72 68 66 64 59 57 56 53 53 54 53 51 52 52 51 52 52 51 51 50 51 53 51 52 54 53 50 50 51 51 51 50 49 49 48 48 47 46 46 45 43 45 45 46 44 45 46 45 45 44 42 41 42 42 44 49 53 57 62 65 69 69 68 71 72 67 63 57 54 52 50 49 49 49 48 48 49 51 53 55 58 60 58 58 56 53 52 52 53 55 52 48 48 51 50 41 34 31 29 31 32 28 31 25 17 14 8 6 8 6 6 9 9 7 5 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 3 9 24 73 168 278 416 580 693 735 816 865 922 950 1046 1233 1395 1602 1842 2032 2040 1958 1910 1954 2073 2117 1980 2055 2166 2874 3033 2863 2594 2379 2330 2317 2339 2450 2783 3396 4015 4110 3620 3138 2951 3009 3242 3382 3337 3647 4050 3938 3627 3303 3053 2893 2810 2719 2552 2360 2182 2039 1868 1838 1733 1793 1895 1957 2120 2527 2727 2604 2292 1960 1695 1547 1580 1628 1586 1546 1471 1339 1154 1155 1105 1124 1346 1544 1630 1726 1886 2085 2285 2431 2588 2610 2579 2554 2579 2576 2416 2162 1874 1733 1754 1739 1705 1700 1672 1585 1531 1522 1476 1387 1392 1393 1375 1279 1156 1035 915 825 817 943 1185 1464 1841 2334
0 1 2 5 10 16 22 26 25 22 22 22 28 38 49 53 54 53 53 52 49 48 46 45 46 47 46 52 60 57 49 46 45 47 48 39 32 29 30 30 28 26 27 29 30 27 23 22 20 18 17 19 17 15 16 15 14 15 18 20 17 15 15 18 24 19 16 19 13 10 8 13 15 12 8 6 8 14 13 11 7 5 6 10 12 12 13 13 12 10 8 6 5 5 4 3 2 4 6 9 10 10 10 9 7 6 4 3 4 5 6 7 7 7 5 5 5 5 5 5 5 4 5 5 5 5 4 5 6 5 5 5 6 6 5 4 4 4 4 4 4 4 4 4 7 21 59 127 210 290 392 548 684 784 798 728 748 691 757 963 1250 1501 1662 1809 1953 2065 2184 2220 2296 2314 2426 2517 2540 2421 2161 1850 1708 1629 1659 1863 2117 2332 2491 2531 2391 2120 1931 1925 1645 1237 457 30 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 2 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 31 62 82 93 99 104 111 113 111 115 119 115 103 99 96 96 95 93 92 88 82 81 81 76 72 73 75 75 73 71 70 65 61 58 58 57 55 54 53 51 50 50 51 52 50 50 50 51 50 50 50 51 51 51 52 52 52 52 52 52 51 50 49 49 49 48 47 47 45 44 45 45 44 45 46 47 46 46 46 46 45 44 44 45 45 47 50 53 58 64 67 68 70 73 72 71 67 64 62 59 55 53 52 51 50 51 52 54 56 58 58 57 55 52 50 49 51 51 51 52 52 55 56 58 60 52 42 41 44 43 35 29 28 26 16 12 12 14 15 15 15 14 12 10 8 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 3 12 33 84 182 304 431 594 745 847 871 880 849 819 746 883 1188 1429 1564 1729 1868 1895 1904 1962 2008 2071 2238 2260 2389 2681 3056 3198 3083 2778 2483 2299 2217 2170 2172 2329 2797 3485 3778 3516 3170 3001 3093 3342 3528 3513 3759 4095 4073 3709 3278 2957 2755 2616 2479 2344 2223 2143 2132 1958 1848 1711 1643 1748 1867 2065 2370 2564 2556 2364 2036 1744 1594 1636 1692 1683 1617 1510 1412 1241 1076 1028 1104 1298 1490 1596 1656 1774 1982 2217 2373 2499 2550 2534 2517 2565 2594 2478 2195 1847 1637 1621 1635 1628 1650 1626 1526 1466 1455 1456 1400 1333 1297 1227 1142 1067 948 840 783 784 927 1123 1399 1724 2031
2 1 1 2 6 11 15 20 23 22 24 28 35 43 48 50 52 51 51 50 48 46 42 40 40 44 48 52 60 57 50 47 46 46 45 42 35 29 30 33 28 26 27 30 28 23 19 19 18 18 18 17 16 15 17 17 16 16 14 15 18 18 17 19 21 18 17 20 12 10 9 14 15 13 9 7 8 12 13 11 9 7 6 8 11 11 12 13 12 11 9 7 6 4 3 3 4 6 8 9 10 9 9 7 6 5 4 3 3 4 6 6 6 7 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 6 6 6 6 5 4 4 4 4 4 4 4 4 4 7 23 72 156 236 299 414 607 753 817 867 828 776 605 387 448 709 954 1283 1697 2002 2118 2150 2164 2220 2279 2410 2505 2555 2502 2290 1939 1676 1530 1539 1705 1975 2276 2515 2588 2437 2126 1927 1936 1618 1264 653 70 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 4 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 10 38 61 76 88 97 103 110 111 107 112 116 112 100 95 92 90 90 90 88 83 76 74 74 74 73 74 75 74 72 70 67 61 59 59 58 56 56 54 53 52 51 50 49 49 49 49 50 51 50 49 53 57 59 58 56 53 51 51 52 52 51 49 48 47 48 48 47 46 44 43 44 45 45 46 47 48 48 49 49 49 48 47 47 45 45 45 44 46 49 56 59 62 66 70 76 78 76 75 74 68 62 58 57 55 54 54 53 56 57 59 57 54 51 47 47 47 47 47 48 50 52 55 56 57 57 58 50 49 57 57 50 41 42 37 27 20 17 18 21 21 21 21 20 16 12 9 6 3 0 0 0 0 0 0 0 0 0 0 0 3 10 26 72 188 354 477 589 715 827 944 1041 1059 958 769 657 771 1082 1366 1489 1572 1730 1822 1867 2020 2012 1980 2093 2201 2451 2847 3120 3164 3094 2878 2568 2303 2103 1937 1860 1921 2148 2729 3270 3391 3202 3074 3203 3423 3576 3615 3764 4046 4008 3553 3124 2861 2682 2508 2325 2147 1999 1930 2028 2035 1911 1713 1583 1623 1755 1946 2181 2366 2443 2399 2116 1801 1633 1668 1689 1682 1646 1651 1631 1474 1217 1100 1185 1314 1437 1629 1630 1683 1884 2125 2297 2415 2467 2480 2508 2560 2568 2468 2204 1870 1650 1546 1565 1583 1592 1519 1453 1433 1365 1307 1278 1271 1215 1101 1001 869 773 773 787 805 921 1104 1326 1546 1704
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26 19 21 21 20 23 26 27 27 27 30 34 42 48 50 49 45 44 44 44 46 45 46 47 46 48 56 59 61 65 53 53 55 51 47 39 33 31 32 32 27 23 25 25 22 19 17 17 19 20 19 18 16 16 19 19 17 13 12 13 14 16 22 21 17 18 18 15 11 9 9 12 16 14 11 8 6 12 13 12 12 10 7 6 9 13 12 12 12 11 9 7 4 4 3 7 10 10 10 9 9 7 6 5 4 3 6 5 3 4 6 7 7 7 6 4 3 4 5 5 5 5 5 5 5 5 6 5 5 5 5 5 6 5 6 5 4 4 4 4 4 4 4 4 6 34 115 213 268 307 471 739 874 825 809 793 690 504 231 44 95 278 596 1094 1699 2079 2150 2133 2121 2130 2224 2356 2483 2553 2508 2298 1988 1712 1602 1691 1945 2301 2601 2640 2544 2298 1949 1598 1276 1020 657 92 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 5 6 6 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 2 16 43 62 69 78 88 97 104 105 101 102 101 95 90 87 86 82 78 75 73 72 71 72 73 74 75 76 74 72 71 67 62 59 58 57 56 56 56 56 56 54 52 50 48 48 50 50 49 51 54 54 54 53 53 53 53 53 52 52 52 51 50 50 50 49 48 48 45 42 42 41 39 38 38 40 41 41 42 44 46 48 48 47 46 45 46 47 48 50 51 52 54 56 58 59 62 64 65 67 71 72 72 69 68 67 66 64 63 60 59 58 55 52 48 46 46 44 42 41 41 43 44 44 44 45 47 48 52 53 55 57 59 60 58 55 52 49 45 47 55 54 46 53 53 37 28 21 7 3 1 0 0 0 0 0 0 0 0 0 1 5 17 43 122 303 466 521 522 517 544 667 911 1179 1295 1184 930 716 689 835 1078 1364 1648 1780 1864 1821 1604 1681 1867 2027 2448 2976 3282 3313 3214 3022 2712 2349 2115 1943 1870 1708 1693 1702 2263 2804 3144 3354 3523 3658 3726 3725 3730 3689 3467 3144 2866 2729 2560 2339 2125 1967 1837 1764 1769 1790 1755 1700 1650 1595 1589 1712 1914 2074 2147 2247 2144 1828 1596 1590 1691 1835 2117 2435 2455 2312 2041 1811 1593 1637 1684 1662 1578 1568 1681 1874 2047 2163 2231 2235 2206 2219 2232 2115 1880 1755 1535 1407 1404 1459 1426 1353 1315 1214 1073 1042 1041 1058 992 876 741 697 785 819 809 826 880 933 1002 1130 1279
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68 63 60 56 52 48 43 40 37 35 35 31 29 27 23 20 20 21 22 22 22 25 41 65 79 75 66 66 66 61 56 49 44 38 34 32 30 28 26 31 26 22 23 15 15 22 22 21 19 18 17 16 14 13 13 10 11 14 16 14 13 16 16 13 13 17 18 16 16 13 11 12 16 15 13 11 8 7 11 14 13 10 7 6 11 12 10 8 7 6 4 3 3 4 8 10 9 9 8 6 4 3 2 1 1 1 3 4 5 6 6 6 6 7 7 7 8 7 7 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 4 4 4 4 4 6 22 72 111 81 208 437 703 732 757 831 787 430 96 27 95 355 797 1204 1536 1777 2106 2173 2160 2092 2021 2061 2153 2255 2389 2544 2666 2708 2666 2582 2543 2627 2747 2758 2615 2374 2003 1530 789 209 20 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 2 2 2 2 1 0 0 0 0 1 2 2 2 2 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 1 17 42 55 63 63 69 75 82 86 85 84 80 76 71 68 69 71 72 72 73 74 74 75 75 73 68 64 63 61 62 62 61 60 58 55 54 54 54 54 54 54 52 50 49 47 46 46 46 48 49 51 53 55 56 56 57 58 57 56 54 52 51 49 49 49 47 44 42 43 46 48 49 46 45 44 43 42 43 44 44 46 47 48 48 46 48 47 45 44 46 48 51 54 55 55 56 57 59 59 60 60 58 59 59 59 60 61 61 60 58 56 54 52 50 49 47 46 45 45 46 46 47 47 46 45 44 42 41 43 44 43 44 46 48 51 51 51 51 52 50 42 37 38 40 34 20 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 7 6 3 2 4 9 31 102 227 460 824 1193 1304 1070 881 827 1010 1170 1078 917 873 909 1017 1442 1918 2309 2660 2934 3096 3224 2967 2448 2388 2632 2638 2282 1843 1499 1343 1362 1401 1393 1657 2512 2888 3160 3370 3372 3269 3131 2951 2747 2562 2383 2188 2014 1879 1724 1535 1597 1678 1721 1697 1649 1659 1777 1857 1749 1602 1618 1667 1767 1839 1904 1971 2113 2342 2551 2780 2914 2910 2805 2701 2698 2709 2548 2196 1904 1748 1615 1571 1600 1637 1725 1776 1771 1818 1876 1740 1371 1128 1179 1426 1486 1348 1195 1030 899 848 836 846 950 1069 1044 874 857 961 882 711 638 670 717 800 911 1005 990
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90 92 60 33 30 40 52 64 76 89 97 93 79 77 80 88 97 105 108 120 123 119 123 128 122 107 87 67 50 37 32 44 42 41 36 29 24 24 23 23 20 16 14 12 9 9 12 17 19 21 19 17 15 14 13 9 6 6 8 10 8 7 8 7 5 4 4 4 3 2 4 6 5 4 3 2 3 4 4 4 3 3 3 5 7 8 8 9 9 9 9 10 10 9 8 7 7 8 9 9 9 9 9 9 8 6 6 6 6 6 7 7 6 5 5 5 5 4 3 2 2 2 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 20 132 408 771 1081 1277 1313 1074 677 371 309 301 327 384 440 406 403 371 226 99 187 63 51 18 4 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 1 1 1 2 3 5 7 9 11 12 14 18 19 19 19 23 25 26 26 26 27 27 28 31 34 35 37 39 40 41 41 41 42 41 40 39 39 39 39 38 37 38 40 42 43 43 44 45 45 46 47 48 50 50 50 49 50 51 54 57 60 61 61 62 65 65 66 68 67 68 70 71 70 70 70 71 73 77 74 71 66 63 64 64 65 66 68 69 70 69 69 68 64 63 62 58 52 45 40 37 36 37 38 40 44 44 43 44 44 44 43 44 44 45 45 44 43 41 39 35 30 25 17 10 4 1 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 7 7 6 9 7 4 6 9 10 11 12 15 19 21 21 15 17 15 14 13 13 14 16 16 16 17 20 24 30 39 48 66 62 59 107 225 408 623 885 1083 1064 972 1025 1368 1801 1871 1537 1263 1214 1252 1256 1290 1429 1592 1718 2000 2450 2871 2968 2789 2479 2077 1692 1507 1430 1411 1376 1466 1787 2285 2769 3152 3354 3645 3876 3632 3017 2632 2660 2858 2982 3015 3217 3202 3235 3261 3238 3125 2906 2727 2666 2667 2657 2630 2550 2458 2403 2376 2392 2332 2225 2123 2026 1950 1925 1921 1895 1889 1918 1949 1987 2038 2096 2142 2159 2150 2156 2134 2021 1954 1946 1926 1937 2080 2129 1731
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12 10 16 21 24 24 22 20 22 22 20 20 21 23 24 27 30 26 21 17 15 14 15 18 23 25 27 29 28 27 25 24 20 14 11 10 10 11 12 14 15 17 20 18 13 10 8 6 5 5 4 4 4 5 6 9 12 13 14 13 11 10 10 10 10 9 9 9 8 9 9 9 9 8 7 7 6 6 7 6 7 7 6 6 5 4 4 4 4 4 4 5 5 5 4 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 1 128 241 218 127 37 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 17 32 48 62 72 88 104 120 137 155 172 191 209 222 231 249 281 302 319 344 360 362 358 358 367 367 391 409 412 399 382 385 404 414 375 314 263 231 208 189 179 179 178 172 164 152 139 129 125 124 120 121 120 117 109 97 82 69 56 50 50 52 52 47 38 29 24 22 26 32 36 40 43 45 43 41 54 71 67 84 197 467 801 989 1101 1106 1093 1126 1183 1316 1557 1861 2151 2233 2190 2109 1981 1829 1668 1479 1310 1160 1066 1079 1077 1082 1145 1254 1420 1646 1876 2036 2103 2110 2070 1966 1907 1887 1905 1882 1769 1670 1642 1644 1663 1715 1726 1724 1748 1788 1830 1870 1918 2016 2083 2095 2099 2145 2143 2076 2043 1955 1816
12 11 14 17 19 20 20 21 23 24 21 18 18 20 24 27 22 21 19 16 14 13 13 14 18 20 23 28 29 28 27 26 24 18 14 13 13 14 16 21 26 28 24 18 13 10 8 6 6 6 6 6 6 8 11 13 15 15 13 11 10 10 10 11 10 8 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 6 5 4 4 4 4 4 4 4 5 5 5 4 4 3 3 3 3 3 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 0 15 169 288 179 60 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 30 47 62 73 89 104 121 139 157 174 191 207 217 225 248 281 307 327 347 368 381 386 378 373 377 397 423 441 432 404 400 418 434 422 357 288 247 222 202 191 190 191 187 178 165 149 133 121 122 126 131 131 126 118 105 89 75 61 54 53 54 55 53 45 33 24 24 29 34 38 41 47 52 49 44 52 62 64 61 120 341 673 902 1029 1086 1104 1137 1172 1187 1235 1455 1825 2085 2185 2175 2078 1903 1772 1602 1452 1307 1144 1085 1101 1097 1121 1233 1382 1583 1802 1948 2012 2059 2139 2074 1979 1886 1866 1847 1781 1716 1694 1718 1768 1800 1797 1783 1774 1786 1809 1857 1890 1945 1962 1989 2053 2105 2146 2126 2077 1991 1864
13 15 16 14 14 16 20 21 21 20 18 15 16 17 20 21 18 17 18 20 18 16 15 16 18 19 20 27 29 28 27 25 22 18 13 12 13 15 19 24 27 27 26 17 13 11 9 8 8 9 9 9 11 13 14 15 13 11 10 10 10 10 10 10 9 9 9 9 9 9 8 7 6 6 6 7 7 7 7 6 6 5 5 5 4 4 4 4 4 4 5 5 4 3 3 3 3 3 3 3 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 17 94 172 87 20 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 3 13 29 45 60 72 90 101 118 139 157 172 188 204 213 230 256 288 316 339 360 375 390 407 405 395 395 398 422 456 461 434 416 437 449 445 391 315 263 231 210 200 192 191 189 184 175 162 147 128 125 131 137 134 128 121 109 94 80 67 58 55 56 58 58 52 39 28 27 32 37 41 45 52 62 58 52 53 59 64 62 80 258 552 801 960 1041 1076 1098 1118 1116 1037 1172 1481 1817 2049 2148 2153 2000 1849 1712 1593 1462 1294 1153 1118 1146 1146 1253 1357 1464 1571 1661 1738 1822 1957 2044 2052 1945 1843 1784 1725 1712 1669 1701 1766 1808 1826 1816 1782 1787 1790 1807 1819 1852 1880 1917 2003 2028 2149 2138 2072 1982 1865
13 13 12 13 15 15 18 16 16 15 15 15 14 15 15 15 17 18 20 23 22 19 19 21 23 24 24 26 29 27 25 25 23 20 16 14 17 22 22 24 25 24 22 17 14 13 12 13 13 13 13 13 13 14 14 14 13 11 10 10 11 9 8 8 8 9 9 9 9 8 7 6 6 7 7 7 7 6 6 5 5 5 4 4 4 4 4 5 5 4 4 4 4 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 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 4 14 27 41 58 69 88 101 117 136 155 171 187 204 218 241 268 291 317 349 372 379 396 419 427 422 414 407 419 453 474 462 430 446 458 450 408 339 278 236 217 207 197 191 188 185 181 174 164 146 134 131 133 132 123 118 111 101 88 76 68 61 59 60 61 55 42 32 30 34 40 46 48 54 62 63 59 56 58 62 65 66 170 413 680 879 991 1039 1053 1055 1055 1002 1050 1210 1472 1770 1936 2065 2046 1922 1798 1693 1579 1441 1292 1183 1204 1211 1254 1284 1291 1290 1321 1414 1533 1683 1923 2073 2015 1894 1774 1645 1671 1652 1641 1679 1766 1844 1827 1812 1803 1785 1786 1805 1816 1832 1839 1906 1968 2043 2064 2025 1946 1853
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11 13 16 19 20 20 16 16 11 9 10 11 11 11 12 10 10 12 14 13 11 12 13 15 16 15 14 14 15 16 16 19 20 21 20 20 19 19 19 18 17 17 16 15 15 15 14 13 13 12 11 10 10 11 10 10 9 8 8 8 9 8 7 6 6 6 7 6 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 22 48 73 93 109 122 138 155 169 190 215 242 270 294 321 337 355 371 386 400 412 424 434 457 456 431 415 418 430 427 431 455 483 473 417 347 301 277 252 233 219 210 204 199 194 194 193 182 160 153 142 133 127 121 118 116 108 102 95 88 79 71 68 69 70 71 71 71 72 72 72 75 81 89 94 90 79 67 54 50 42 67 234 533 891 1159 1223 1147 1084 1059 1083 1106 1130 1216 1365 1538 1678 1687 1677 1660 1600 1470 1333 1312 1313 1277 1200 1117 1060 1051 1056 1051 1078 1122 1197 1311 1467 1674 1844 1622 1417 1328 1329 1365 1477 1555 1569 1601 1594 1574 1578 1608 1641 1563 1589 1614 1619 1604 1563 1505 1448
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