Vorticity
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nan 6 6 6 6 5 5 4 4 4 3 4 4 4 4 4 4 3 3 2 1 1 2 3 4 5 6 6 5 5 4 4 5 5 5 5 5 5 4 4 3 2 1 2 4 5 6 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 3 3 3 2 2 2 2 2 2 3 4 4 4 4 4 4 3 3 4 4 5 5 4 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 4 3 3 3 4 4 5 5 5 5 5 4 4 5 5 5 4 4 4 4 3 3 3 2 2 2 2 3 3 4 4 4 5 5 5 4 4 4 4 4 4 4 5 4 4 5 5 5 5 5 5 5 6 6 6 7 7 7 6 6 9 12 15 13 8 3 2 2 4 7 10 10 6 3 3 6 9 13 15 11 6 5 9 10 9 6 3 3 5 7 9 10 10 9 8 8 9 10 9 8 6 6 7 9 10 10 11 13 15 15 11 7 4 3 3 5 6 7 4 3 5 10 12 9 5 3 3 5 6 4 2 1 -1 -4 -6 -6 -6 -5 -4 -4 -6 -12 -18 -18 -12 -2 7 12 12 9 6 4 4 4 3 2 1 2 2 2 3 4 4 4 4 4 4 4 5 5 5 4 4 4 5 6 7 8 7 7 7 6 6 5 5 4 4 5 5 6 6 7 7 7 7 10 13 13 9 5 4 5 5 6 6 6 5 5 6 7 7 7 6 6 5 4 4 5 5 5 4 4 1 -4 -7 -3 1 0 -2 -0 3 5 5 4 3 3 2 3 3 4 4 4 4 4 4 4 3 3 3 3 4 6 11 17 19 14 7 3 3 3 3 3 3 3 2 2 1 1 1 2 3 2 2 1 1 1 1 2 2 2 2 2 2 3 4 4 5 5 5 5 5 6 6 6 6 7 7 7 6 6 6 8 9 11 12 12 10 7 5 6 9 10 10 10 11 10 9 6 4 3 3 3 2 2 3 4 6 6 5 3 3 7 12 14 12 6 0 -2 -2 1 7 13 16 17 16 15 13 11 10 10 12 13 15 16 16 16 14 13 12 12 13 13 12 12 11 10 10 10 11 11 10 8 7 6 7 8 8 8 7 6 5 3 2 2 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 2 1 1 0 0 2 4 7 8 8 7 6 5 4 nan
nan 5 6 6 7 6 6 5 5 4 4 4 4 4 4 4 4 4 3 3 2 1 1 1 2 4 5 5 5 5 5 5 4 4 4 4 4 5 5 4 3 2 1 2 3 5 5 5 4 4 4 4 3 3 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 5 4 4 4 3 3 3 3 3 4 3 3 3 3 3 3 2 2 2 3 3 3 3 4 4 4 3 3 3 3 4 5 5 5 4 3 4 4 5 4 4 4 5 6 6 5 5 5 5 5 5 5 5 4 4 4 4 5 5 6 7 7 6 5 4 3 2 2 2 3 4 5 5 5 5 4 4 5 5 5 5 4 4 4 3 3 2 1 2 2 2 3 3 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 7 7 7 6 6 7 11 16 16 11 6 4 3 4 7 9 9 6 3 5 8 9 10 11 10 7 5 6 6 5 3 3 4 5 7 8 9 10 10 9 9 11 12 12 10 9 8 9 10 11 10 10 11 12 11 7 3 1 0 1 3 6 7 6 5 5 6 7 7 4 3 3 6 7 6 3 -2 -8 -10 -10 -7 -4 -1 -0 -2 -8 -14 -17 -12 -4 4 10 13 13 11 7 4 4 5 5 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 7 7 7 7 7 7 6 6 5 4 4 5 5 6 7 8 8 9 11 13 12 8 5 4 5 5 5 6 6 6 5 6 7 7 7 7 7 6 5 4 5 5 5 4 5 4 0 -4 -3 3 2 -3 -4 1 4 5 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 7 11 14 12 7 4 3 3 3 3 3 3 2 2 1 1 1 2 2 2 2 1 1 1 1 1 1 2 2 2 2 3 3 4 5 5 5 6 6 6 7 7 7 7 6 6 5 4 5 6 8 11 12 12 9 6 4 4 6 7 9 10 10 10 10 9 6 4 4 5 4 3 4 4 4 5 5 5 5 7 11 12 12 9 5 4 7 11 14 14 14 15 16 16 15 14 13 13 14 15 15 15 15 14 13 11 11 11 12 12 12 11 10 9 8 8 8 7 7 5 5 6 6 7 7 8 7 6 5 3 2 2 3 4 4 4 5 5 5 4 3 3 3 3 2 3 3 4 4 4 4 4 4 4 4 4 3 2 1 0 0 1 3 7 9 10 10 9 8 6 5 nan
nan 4 5 6 7 7 7 6 6 6 5 5 4 4 4 4 3 4 4 4 3 2 1 1 1 2 3 4 4 4 5 4 4 4 3 4 4 4 4 4 3 2 2 2 3 4 5 4 4 4 4 4 3 3 3 4 4 4 5 5 4 5 5 5 5 4 4 4 5 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 4 5 5 5 5 4 4 4 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 4 3 3 4 5 6 7 7 8 7 6 5 3 2 2 1 2 2 4 4 5 5 5 5 5 5 5 6 5 5 4 4 3 2 1 1 2 2 2 2 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 6 6 7 7 7 6 5 6 9 15 17 13 9 8 6 6 6 7 7 5 4 5 8 9 8 8 7 7 6 5 3 2 3 4 5 6 7 7 8 9 9 8 8 10 10 10 10 10 11 11 12 11 9 8 8 7 5 3 1 -0 0 2 4 5 5 5 4 3 2 1 1 2 2 3 5 5 2 -3 -9 -12 -12 -9 -5 -1 2 1 -5 -12 -15 -12 -5 1 7 13 16 15 12 8 5 5 6 6 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 6 6 5 6 6 6 6 6 6 7 7 8 8 7 7 6 5 4 4 5 5 6 7 9 10 13 15 13 7 5 6 6 5 5 5 5 5 5 5 6 6 7 7 7 6 6 5 5 5 4 3 4 5 4 -1 -3 2 4 -1 -5 -3 3 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 4 3 4 4 6 7 8 7 5 4 3 3 3 3 3 3 2 2 1 2 2 2 2 2 1 1 1 1 1 1 2 2 2 2 3 3 4 5 6 6 7 7 8 8 8 8 7 6 5 4 3 3 4 7 9 10 10 8 5 2 3 4 5 7 8 9 9 9 8 6 4 5 6 4 3 2 2 3 5 6 6 5 5 5 7 10 11 10 10 14 17 17 14 12 12 14 14 14 14 14 14 13 13 13 13 13 13 12 11 11 11 11 11 11 10 10 8 7 7 6 5 4 4 5 6 7 7 7 8 8 7 5 4 3 3 3 3 4 4 5 5 5 5 4 3 3 3 2 3 3 4 4 4 4 4 4 4 4 4 3 2 1 -0 0 2 6 9 11 11 11 9 8 6 5 nan
nan 4 5 6 7 8 7 7 6 6 6 6 5 5 5 4 4 4 4 4 4 4 3 2 2 2 3 3 3 3 4 4 4 4 3 3 3 4 4 4 3 2 2 3 3 4 4 4 4 4 4 3 3 2 3 4 4 4 4 4 4 5 5 5 5 5 4 4 5 5 5 5 5 5 4 4 3 3 3 3 3 3 2 2 3 3 4 3 3 4 4 4 4 4 4 4 4 4 4 5 5 6 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 4 4 5 5 5 4 4 4 4 6 7 8 8 8 7 5 4 3 2 2 2 3 3 4 3 3 4 5 5 5 5 5 6 6 6 5 5 4 3 2 2 2 2 1 2 2 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 7 7 7 6 5 5 7 12 14 12 10 10 9 7 5 5 5 5 5 5 6 7 6 5 5 6 6 5 3 2 3 4 5 6 7 6 6 7 8 7 6 7 7 7 7 8 10 12 12 11 8 6 4 2 1 1 2 2 2 3 4 4 3 2 0 -1 -2 -3 -2 -0 1 2 1 -1 -6 -11 -13 -12 -9 -6 -1 2 2 -4 -11 -14 -11 -5 1 7 14 19 20 17 13 9 7 7 8 7 7 6 6 5 4 4 4 4 4 4 4 4 5 5 6 6 6 6 6 7 7 6 5 5 5 6 7 7 8 8 7 7 6 5 4 4 5 6 8 10 13 17 15 8 4 6 7 5 5 5 4 4 4 4 5 5 7 7 7 6 6 6 5 5 4 3 3 4 5 1 -3 -2 2 1 -3 -2 2 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 4 4 4 5 5 6 6 5 4 4 3 3 3 3 2 2 2 2 1 1 2 2 2 2 2 1 1 2 2 2 2 2 3 4 5 6 7 7 8 8 8 9 8 8 6 5 4 3 2 2 3 4 6 7 7 5 3 1 2 3 5 6 7 7 7 7 7 6 6 6 6 5 3 2 2 2 4 5 5 4 2 1 4 11 14 14 13 14 16 14 10 9 9 10 11 12 12 13 12 12 12 12 12 12 12 11 11 10 10 10 10 9 9 8 7 6 5 5 4 4 4 6 7 7 7 8 8 8 7 6 4 3 3 3 3 3 4 4 5 5 5 4 3 3 3 2 3 4 4 4 4 4 4 4 4 4 4 3 2 1 0 1 3 7 10 11 11 10 8 7 5 4 nan
nan 4 5 6 7 8 8 7 6 7 7 6 6 6 5 5 5 5 5 5 5 4 4 3 2 2 3 3 2 2 3 3 4 4 4 4 4 4 4 3 3 2 2 2 3 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 4 4 4 4 5 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 4 4 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 5 4 3 4 4 5 5 4 4 4 5 6 7 8 8 7 6 4 3 3 2 3 3 4 4 4 2 2 4 5 6 6 5 5 6 6 6 6 6 5 4 3 2 2 1 1 1 2 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 7 7 7 6 5 5 6 8 9 9 10 13 13 9 6 6 5 4 3 3 4 4 3 3 4 4 4 3 3 3 4 5 6 7 7 6 4 3 4 5 4 5 6 6 6 6 8 10 9 8 7 5 3 1 0 1 2 2 2 3 2 1 1 1 -0 -2 -3 -3 -1 1 1 -1 -4 -9 -12 -13 -11 -7 -4 -1 3 4 0 -8 -13 -10 -4 3 9 17 24 27 24 18 13 9 7 8 9 9 8 7 6 5 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 6 7 8 7 5 4 4 4 6 7 7 7 8 8 7 6 5 4 5 6 8 11 17 17 11 6 6 6 5 5 6 5 4 4 4 5 5 6 7 6 6 6 6 6 5 4 3 2 3 4 3 -1 -4 -3 -2 -2 0 3 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 6 6 5 4 5 5 5 5 5 5 4 4 3 3 3 3 3 2 2 1 1 1 2 2 3 2 2 2 2 2 3 3 3 3 4 5 7 8 9 9 9 9 9 8 7 5 3 3 2 2 1 2 3 3 4 3 2 1 0 1 3 5 6 7 7 6 6 7 8 8 8 7 6 6 5 5 4 4 5 5 4 1 1 8 15 17 15 12 12 12 10 9 8 8 8 8 8 9 10 10 11 11 12 12 11 11 10 10 10 10 10 9 8 7 7 6 5 5 4 4 4 5 6 7 7 7 8 8 8 7 5 4 3 3 3 3 3 4 5 5 5 5 4 3 3 2 3 3 4 4 4 4 4 4 4 4 4 4 3 2 1 1 2 5 8 10 11 10 9 7 5 3 3 nan
nan 4 5 6 7 7 7 7 7 7 7 7 7 6 6 6 6 5 5 5 5 5 4 4 3 3 3 3 2 2 2 3 4 4 4 4 4 4 4 4 3 3 2 2 2 3 4 4 4 4 4 3 3 3 4 4 3 3 3 3 4 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 4 4 4 3 3 3 3 3 3 3 3 4 4 5 5 5 5 5 4 4 4 5 5 5 5 6 6 6 5 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 3 3 4 6 7 7 7 7 6 5 4 3 3 3 4 5 6 6 4 2 2 3 5 6 6 6 6 6 6 6 6 6 5 4 3 2 1 1 1 1 2 2 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 7 7 7 7 7 6 5 5 6 7 9 10 13 14 12 9 9 7 4 2 2 3 2 2 2 2 3 2 2 3 5 7 9 9 8 7 6 4 2 1 2 3 4 7 9 8 8 9 8 7 7 7 6 5 3 1 -0 -1 -0 1 2 1 -2 -1 2 3 0 -1 -0 1 2 -0 -4 -9 -13 -12 -9 -5 -1 2 4 5 4 -2 -10 -10 -5 2 9 19 30 37 35 27 18 11 7 7 8 9 9 9 8 7 6 5 4 4 5 4 4 4 4 4 5 5 5 6 6 6 6 7 9 9 8 5 3 3 4 5 5 5 6 8 8 8 7 5 4 5 7 10 15 18 14 8 7 6 5 5 6 6 5 4 5 5 5 6 6 6 5 6 6 6 5 5 4 2 1 2 4 3 -2 -7 -8 -5 1 4 4 4 4 4 4 5 5 5 6 6 6 6 5 5 6 6 7 7 7 6 5 5 4 4 5 5 6 5 5 4 4 4 4 3 3 3 2 2 1 1 2 3 3 3 3 3 3 3 3 3 3 4 5 6 8 9 10 10 10 10 9 7 5 3 1 1 1 1 1 2 3 3 2 1 2 2 2 2 3 5 6 6 6 5 5 6 7 9 8 8 7 7 8 7 7 6 6 6 5 4 6 12 16 14 9 7 8 10 10 9 7 7 6 6 6 7 8 9 10 11 11 11 11 10 9 9 9 9 9 8 8 7 5 5 4 4 4 5 5 6 7 7 7 7 8 8 8 6 5 3 3 3 3 3 4 4 5 5 5 5 4 3 2 2 3 3 4 5 4 4 3 3 4 4 4 3 3 2 1 1 3 6 8 10 11 10 7 5 3 2 3 nan
nan 4 4 5 6 6 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 5 5 4 3 3 3 3 2 2 2 3 4 4 4 4 4 4 4 4 4 3 2 2 2 2 3 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 5 5 5 5 4 4 4 4 3 3 4 4 4 5 5 4 4 4 3 2 2 2 3 3 4 4 5 5 4 4 5 5 4 4 4 6 6 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 3 3 3 4 6 7 7 7 6 5 4 3 3 4 5 6 7 8 7 5 3 3 3 5 6 6 6 6 6 6 6 6 5 5 4 3 2 2 2 2 2 2 2 2 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 7 7 7 7 6 6 5 6 7 9 11 11 12 13 13 13 9 5 4 4 3 2 1 1 2 2 3 2 3 6 9 12 12 10 8 7 7 5 4 4 5 6 7 8 9 9 9 8 7 7 9 10 8 6 3 -0 -2 -2 1 3 2 -1 -1 4 6 4 3 3 4 2 -3 -8 -12 -12 -8 -3 -0 3 6 7 6 2 -7 -12 -8 -1 6 14 27 39 44 38 25 14 8 6 7 8 9 9 9 8 7 6 5 5 5 5 5 4 4 4 4 5 5 5 6 6 6 7 8 10 11 10 7 5 3 3 3 3 3 4 5 6 7 7 6 5 6 7 8 13 19 18 11 7 6 5 5 6 7 7 6 5 5 5 6 6 5 5 5 6 5 5 5 5 3 2 2 4 5 2 -4 -10 -8 -1 3 4 4 4 4 4 4 5 5 6 6 6 6 6 6 6 6 7 8 8 7 6 5 5 5 6 6 7 7 6 5 4 4 4 4 4 3 3 2 2 2 2 3 4 4 4 4 4 4 3 4 4 5 5 7 9 10 10 10 10 10 9 7 4 1 -1 -1 0 1 2 3 5 4 3 2 3 4 4 4 4 5 5 5 4 4 4 4 5 7 7 7 7 8 8 9 9 10 10 9 8 9 12 15 14 8 3 3 5 8 9 8 6 5 4 3 4 5 6 8 10 11 11 11 10 9 8 7 7 7 8 8 7 6 5 4 4 4 5 5 6 7 7 8 8 8 8 7 7 6 4 3 3 3 3 3 4 4 4 5 5 5 4 3 2 2 3 4 4 5 4 3 3 3 4 4 4 3 2 2 2 2 4 6 8 10 10 9 6 3 2 3 4 nan
nan 4 4 4 5 5 6 7 8 8 7 7 7 6 6 6 6 7 7 7 7 6 5 4 3 3 3 3 3 2 3 3 3 4 4 4 3 4 4 4 4 3 2 2 1 2 3 4 4 4 4 4 5 5 5 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 5 4 4 4 3 2 2 3 3 4 4 5 5 4 4 4 5 5 4 4 5 6 6 5 5 5 6 5 5 6 6 5 5 5 5 6 5 5 5 5 4 4 4 4 3 3 3 4 5 6 7 7 6 5 4 4 4 4 5 6 7 8 8 7 5 4 3 3 4 5 6 6 6 6 6 6 6 5 5 5 4 2 2 2 1 1 1 1 1 2 2 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 7 7 7 7 7 6 6 6 7 9 11 11 10 11 13 13 10 7 7 6 4 2 1 1 3 5 5 5 6 7 9 11 12 11 10 10 10 10 9 8 8 8 6 5 5 5 5 5 6 8 11 12 10 7 4 2 -0 -1 1 4 4 1 0 3 6 6 6 6 5 2 -3 -8 -10 -8 -4 -1 2 6 9 9 6 -2 -11 -11 -3 5 12 18 27 36 37 28 16 9 6 6 7 8 9 9 9 8 7 6 6 5 5 5 5 5 4 4 4 5 5 5 6 6 6 7 8 10 12 11 9 6 4 3 3 3 2 2 3 4 5 6 6 6 6 7 7 11 18 20 15 10 8 6 5 6 8 8 7 6 6 6 6 5 5 5 6 6 5 5 4 4 4 3 3 4 5 5 1 -7 -9 -4 2 4 4 4 4 4 4 5 5 6 6 6 6 6 6 6 6 7 8 8 8 7 6 6 6 7 8 9 9 7 6 5 4 5 4 4 4 4 3 2 2 2 3 4 5 6 6 5 5 5 5 5 5 6 7 9 10 10 10 10 10 9 7 4 1 -1 -1 0 1 3 5 7 6 4 3 4 6 6 4 4 5 5 5 5 4 4 4 5 6 7 8 7 7 8 9 10 11 12 12 11 12 15 16 11 4 -0 1 4 7 8 6 4 2 1 -1 -2 -1 1 4 8 10 11 10 10 8 7 6 5 5 6 7 6 6 5 4 4 4 5 6 7 7 8 8 8 8 8 7 7 5 3 2 3 4 4 4 4 4 4 4 5 5 5 4 3 3 3 4 4 5 4 3 3 4 4 4 4 3 3 2 2 3 4 6 8 9 9 7 5 3 3 4 5 nan
nan 4 4 4 4 5 5 6 7 8 7 6 6 6 6 6 6 7 8 8 7 6 5 4 4 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 3 4 4 4 4 5 5 5 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 3 3 2 3 4 5 5 5 5 4 3 4 5 5 4 5 5 6 5 4 4 5 5 5 6 6 6 5 5 5 5 5 5 5 4 4 4 4 4 4 4 3 4 4 6 6 6 6 6 5 4 4 4 5 6 7 8 8 7 6 5 4 4 4 4 4 5 6 6 6 6 6 6 5 5 5 4 3 2 1 1 1 1 0 1 1 1 2 2 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 7 7 7 7 8 7 7 7 7 7 8 10 11 10 9 9 9 9 8 8 6 3 1 1 1 4 6 8 8 8 8 6 6 7 9 11 11 10 9 8 7 7 6 4 3 3 3 2 3 5 7 9 10 9 7 4 3 2 2 3 4 3 -0 -2 1 4 6 5 5 4 2 -2 -5 -6 -3 -1 2 5 9 9 8 3 -6 -11 -5 6 16 22 22 21 21 18 11 6 4 5 7 8 9 10 10 10 9 8 7 6 5 5 5 5 5 5 4 5 5 5 6 6 6 7 8 9 10 12 12 10 7 4 3 2 2 3 2 2 3 4 5 5 4 5 5 5 7 13 18 17 15 12 9 7 7 8 8 7 6 7 7 6 5 5 6 6 6 6 5 4 4 5 5 4 5 5 5 3 -4 -9 -4 2 4 4 4 4 4 4 4 5 6 6 6 6 6 6 6 6 6 7 7 7 6 7 7 7 7 8 9 9 8 6 5 4 4 4 4 4 4 3 3 2 2 3 4 5 7 7 7 6 7 7 6 5 6 7 9 10 10 10 10 10 9 8 5 2 0 -0 0 2 4 6 7 6 4 3 4 6 6 5 4 5 5 6 5 5 5 5 6 8 9 8 8 8 8 9 10 12 12 11 11 14 16 14 7 2 -0 1 4 7 7 6 4 3 1 -0 -2 -2 -1 2 6 9 10 10 9 7 6 5 4 3 4 5 5 5 5 4 4 5 5 6 7 8 8 8 8 8 8 8 6 5 3 2 3 4 4 4 4 3 3 3 5 5 5 4 3 3 3 4 4 4 4 3 3 4 4 4 4 3 3 3 3 3 4 6 8 9 8 6 4 3 4 4 4 nan
nan 5 4 4 4 4 5 5 6 7 6 5 5 5 5 5 6 7 8 8 8 7 6 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 3 4 4 5 4 5 5 5 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 4 4 3 3 3 3 4 4 4 4 4 3 3 3 3 4 5 5 5 4 3 3 3 4 4 4 4 5 5 4 4 4 5 5 5 6 5 5 5 5 6 6 6 5 5 5 4 4 4 4 4 4 3 3 4 6 6 6 6 5 4 4 4 4 5 6 7 7 7 6 5 4 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 4 3 2 1 1 0 -0 -0 -0 0 1 1 2 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 9 9 7 5 6 7 7 5 3 1 1 1 1 2 4 6 8 8 6 3 1 2 6 10 10 8 6 5 4 3 3 4 5 5 4 3 3 4 5 7 8 8 7 5 4 3 3 4 4 1 -2 -3 1 5 5 3 1 1 1 1 -0 0 1 3 5 7 7 6 5 -1 -9 -8 2 17 29 32 27 18 9 2 -1 0 3 5 6 8 9 11 12 12 12 11 8 6 5 5 5 5 5 4 4 5 5 6 6 7 7 7 8 9 10 12 12 10 6 3 2 2 3 3 3 3 3 4 5 5 4 3 4 4 4 7 11 14 16 15 12 10 9 9 9 9 8 8 8 7 5 5 5 5 6 6 5 4 5 8 8 6 5 5 4 2 -2 -7 -4 1 3 4 4 4 4 4 4 4 5 6 6 6 6 5 5 5 5 6 5 5 5 6 7 8 7 8 8 9 8 7 4 3 2 3 4 4 4 3 3 3 3 3 4 6 8 8 8 9 9 9 8 7 6 7 8 9 9 9 10 10 10 9 7 4 1 0 1 2 4 6 5 5 4 5 5 5 5 5 5 5 5 6 6 6 6 6 8 10 10 9 9 9 9 9 10 11 10 8 10 13 15 10 4 2 1 3 5 7 8 7 6 6 6 7 9 9 8 7 7 9 10 10 9 7 5 4 3 2 2 3 3 4 4 4 4 5 6 6 7 8 8 8 8 8 8 8 6 4 2 2 3 4 5 4 3 2 2 3 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 6 7 8 7 6 4 4 4 4 4 nan
nan 5 5 5 4 4 4 4 5 6 6 5 5 5 5 5 5 6 7 7 8 8 8 7 6 4 3 3 4 4 3 3 3 3 3 3 3 2 2 2 2 2 3 3 3 4 5 5 5 5 5 5 5 4 3 3 3 3 3 3 3 4 3 3 3 3 3 4 4 4 4 4 3 3 3 3 4 3 3 3 3 3 3 3 4 5 5 5 4 3 2 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 5 5 6 6 6 6 5 5 4 4 3 3 4 3 3 4 4 6 6 6 5 5 4 4 4 5 6 7 7 7 6 5 4 4 5 5 6 5 5 5 6 6 6 6 6 6 6 6 5 5 4 3 2 2 1 -0 -1 -1 -1 -1 -1 0 1 2 2 3 3 4 4 4 4 4 4 4 4 5 5 5 6 6 6 7 7 7 7 7 8 8 8 9 9 8 8 7 6 5 5 5 5 4 2 1 1 2 2 1 2 2 2 3 5 6 4 2 3 6 8 8 7 6 5 4 4 4 5 5 5 4 4 4 4 4 5 6 7 7 7 5 4 4 5 5 2 -1 -0 5 8 5 -0 -2 -0 3 6 6 6 6 6 5 4 2 2 1 -5 -10 -4 9 24 34 36 30 19 9 3 1 2 4 5 6 7 8 10 12 14 16 15 11 8 5 5 5 5 4 4 4 5 5 6 6 7 7 7 8 8 9 10 10 7 4 1 2 3 3 4 3 3 3 4 5 5 4 3 3 4 3 4 5 8 11 13 13 11 11 11 11 12 12 11 11 10 9 7 7 6 6 6 6 6 8 10 9 7 6 5 4 1 -3 -5 -2 2 3 3 3 3 3 3 4 4 5 5 5 6 5 5 5 5 5 4 4 3 4 6 7 8 7 7 7 8 8 7 4 1 0 1 3 4 4 3 3 3 3 4 5 6 8 9 9 11 11 11 10 8 6 6 7 8 8 9 10 10 10 9 7 4 2 1 1 2 4 5 4 4 5 6 5 4 4 4 4 5 5 5 5 6 7 9 11 12 11 10 10 10 9 9 10 9 7 7 9 12 11 7 3 3 3 4 5 7 7 7 7 8 10 13 16 17 16 14 13 12 10 9 8 7 5 4 2 1 1 1 2 3 3 3 5 6 6 7 7 8 8 8 8 8 8 7 6 4 2 2 3 5 5 4 3 2 2 4 5 5 4 5 4 4 4 4 4 4 4 4 4 5 5 4 4 3 3 3 3 4 5 6 7 7 7 6 5 4 4 3 3 nan
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nan 10 11 13 13 14 14 14 14 14 13 13 12 11 10 8 6 6 7 8 9 11 11 11 11 11 12 12 14 16 18 21 22 21 19 17 14 12 11 11 12 12 14 14 15 15 15 15 15 15 15 16 16 16 15 15 15 15 14 14 14 14 15 17 18 18 17 17 16 17 18 19 20 21 20 20 19 17 16 15 14 15 14 13 12 11 11 11 11 12 13 13 14 13 12 11 9 7 7 6 6 6 6 7 7 8 8 8 9 9 10 10 11 12 13 15 15 16 16 15 15 14 14 14 13 12 12 11 11 11 12 12 12 12 13 13 12 12 11 11 10 10 10 10 10 10 11 12 14 16 17 18 18 17 16 15 14 13 12 12 13 13 14 15 16 16 16 16 16 16 17 18 17 15 12 10 10 11 12 13 13 13 13 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 13 12 11 10 9 9 9 10 10 10 10 10 11 11 11 11 11 10 11 11 11 11 12 12 12 13 13 12 11 10 10 10 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 12 12 13 14 16 16 13 9 6 4 5 8 10 11 12 12 12 11 11 10 10 11 11 12 12 12 12 12 13 13 13 13 12 12 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 10 10 8 7 6 5 5 5 6 6 7 7 8 9 9 10 11 11 10 8 5 2 -1 -1 1 4 8 11 13 14 15 16 16 15 14 13 12 11 10 10 10 10 11 11 12 12 13 13 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 14 14 15 15 17 19 20 20 20 19 17 16 16 15 14 14 14 15 16 20 24 27 30 32 34 34 35 35 35 32 29 27 23 20 19 19 18 17 15 13 12 12 11 10 9 9 8 6 3 0 -2 -3 -2 -0 1 3 4 7 10 11 12 12 12 13 13 14 14 14 14 14 13 11 8 5 5 6 9 10 12 11 11 11 11 12 12 12 12 11 10 11 11 12 12 12 12 12 11 10 9 9 9 10 12 12 12 12 11 10 9 9 8 7 7 8 10 11 13 13 14 14 15 15 15 15 14 14 13 14 14 15 14 13 11 11 12 14 15 15 14 14 13 13 12 11 11 10 11 12 13 12 11 9 8 8 8 10 11 nan
nan 11 12 13 14 15 15 15 14 13 12 11 10 9 8 7 6 6 7 8 11 12 13 13 12 11 11 12 13 15 17 20 19 18 16 14 13 11 12 12 12 12 13 14 14 14 14 14 14 14 15 16 16 16 16 16 15 15 14 14 14 15 16 17 18 17 16 15 14 14 15 15 17 19 21 22 21 20 19 16 15 14 13 12 11 10 10 10 10 10 11 13 14 13 12 11 9 8 7 7 7 7 7 7 7 8 8 8 9 10 10 11 12 13 14 14 14 14 14 13 13 12 12 12 12 11 11 11 11 11 11 12 12 13 13 13 13 12 12 11 11 10 10 10 10 10 11 13 16 18 20 21 20 19 18 16 15 13 12 12 12 13 13 14 15 15 15 15 14 14 14 14 14 14 13 12 12 12 12 13 13 13 13 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 14 14 13 11 10 9 9 10 10 10 10 10 11 11 11 11 11 12 12 11 12 12 12 12 12 12 12 12 12 11 11 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 12 12 12 12 11 11 11 12 13 14 16 17 16 13 11 8 8 9 11 12 13 13 11 8 7 7 8 10 12 12 12 12 13 13 13 14 14 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 10 10 8 7 7 6 6 6 6 7 7 8 8 9 10 11 12 12 11 8 6 2 -0 -1 1 4 8 11 13 14 15 16 16 15 14 14 13 11 11 10 10 10 10 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 14 14 14 15 16 17 19 19 20 19 18 17 16 15 14 14 13 14 14 17 20 22 26 30 31 31 32 32 33 32 31 29 26 24 23 23 22 20 17 15 14 12 12 11 11 10 10 9 7 5 2 -1 -1 -2 -2 -2 1 3 5 8 10 11 13 13 14 13 13 14 14 15 13 11 8 5 5 7 9 10 11 12 12 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 9 9 10 11 12 12 12 11 10 10 9 9 9 8 8 9 9 10 11 12 12 13 14 15 15 14 14 13 13 13 12 12 13 13 13 14 15 16 16 15 15 14 13 12 11 11 12 13 14 14 14 13 10 9 8 8 9 11 nan
nan 12 11 11 12 12 12 12 11 10 9 8 8 8 7 7 6 6 5 6 8 9 11 12 13 12 12 13 14 15 17 17 16 14 13 12 11 11 12 13 13 13 13 14 14 15 15 15 15 15 16 16 16 16 16 16 15 15 15 15 15 16 17 18 18 16 15 14 12 11 11 10 11 12 13 15 17 18 18 17 14 12 11 10 10 10 9 9 9 9 10 11 12 12 12 11 10 9 9 9 9 9 9 8 8 8 8 8 8 9 10 11 12 12 12 11 11 11 10 10 10 9 10 10 11 11 11 11 11 11 11 12 12 13 13 13 13 13 12 12 11 11 11 11 11 11 12 14 16 18 20 21 21 19 18 17 16 14 13 12 12 12 13 13 14 14 14 14 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 12 13 15 16 17 15 12 9 7 6 8 10 11 12 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 13 14 15 14 13 12 11 12 13 15 16 15 11 8 5 5 8 10 12 12 12 13 13 14 14 15 14 13 12 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 12 12 12 12 11 11 10 10 10 10 9 8 7 7 6 6 6 6 6 7 7 8 10 10 11 11 10 9 6 3 1 -1 -1 1 5 7 10 12 14 15 16 16 16 15 14 13 12 11 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 14 14 15 15 16 17 19 19 19 19 18 17 15 14 14 13 13 13 14 16 19 22 26 28 30 31 30 30 31 31 29 26 26 25 25 24 22 19 17 15 14 13 13 12 11 11 10 9 7 5 2 -0 -2 -3 -2 0 3 5 7 8 9 11 12 13 13 13 14 15 15 14 12 10 8 9 10 12 12 12 12 12 12 11 11 12 12 11 10 10 10 10 9 9 9 10 10 11 11 11 10 10 10 11 12 12 12 11 11 10 10 10 10 10 9 9 9 10 10 11 11 12 13 14 14 15 15 14 13 12 11 10 11 12 12 13 14 15 15 14 14 13 12 11 11 11 12 13 14 14 14 13 11 9 8 9 10 11 nan
nan 11 10 9 9 8 8 7 7 6 6 5 5 6 7 7 7 7 6 6 6 8 9 11 13 14 14 15 16 17 17 15 14 12 10 10 10 11 12 12 13 13 14 14 15 16 16 17 17 17 17 16 16 15 14 14 14 14 15 15 16 16 16 17 16 16 14 13 11 9 8 8 7 7 8 8 8 9 10 11 10 9 8 8 8 9 9 10 10 9 9 10 11 11 12 12 11 11 11 10 10 10 10 10 9 9 8 8 9 9 10 10 11 10 9 8 8 7 7 7 7 8 8 9 10 11 12 12 12 12 12 12 12 13 13 13 13 13 12 12 12 12 11 12 12 12 13 15 17 19 20 20 20 18 17 16 15 14 13 13 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 14 17 19 19 18 15 11 7 5 6 8 10 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 12 12 12 12 12 12 11 11 11 11 12 12 11 11 11 11 11 11 11 10 10 10 10 10 11 11 12 12 11 11 11 11 10 10 11 12 12 12 12 12 12 12 13 14 17 19 17 14 10 8 8 10 11 12 12 12 12 13 13 14 14 14 13 12 11 11 11 11 11 11 10 10 10 11 12 13 13 13 12 12 12 12 12 11 10 10 10 10 10 9 9 8 7 7 6 6 6 6 7 7 8 9 10 10 10 7 5 2 -0 -1 -1 1 3 6 8 10 11 13 14 15 16 16 16 15 14 12 11 10 10 10 10 11 11 11 11 12 12 12 12 12 13 12 12 12 12 12 12 12 12 13 13 14 13 13 13 13 13 13 13 13 14 14 15 15 16 18 18 19 19 18 17 16 15 14 13 12 12 13 13 15 19 21 24 27 29 30 30 30 30 29 28 27 26 25 24 23 21 19 17 15 15 14 13 13 12 11 11 9 6 3 -1 -4 -4 -2 2 5 7 8 8 9 10 12 12 13 13 13 13 13 13 12 12 11 12 13 14 14 13 12 11 10 9 9 9 10 10 10 10 10 9 9 9 9 10 10 10 11 11 11 11 11 12 12 12 12 12 11 10 10 10 10 10 9 9 8 9 10 11 12 12 13 14 15 15 14 14 13 12 11 11 11 12 12 12 13 13 13 12 12 12 11 11 10 11 12 12 13 13 12 11 10 9 8 9 9 11 nan
nan 10 9 7 6 5 5 5 5 5 4 4 4 5 6 8 10 10 11 11 12 13 13 14 15 15 16 16 16 17 16 14 13 11 9 9 9 10 10 10 11 12 13 14 15 15 16 17 18 18 18 16 15 14 13 13 13 14 15 16 16 16 15 15 15 15 14 13 12 10 9 8 7 6 6 6 5 5 5 6 6 6 7 7 8 9 10 10 11 11 10 11 12 13 13 14 13 13 12 12 11 11 10 10 9 9 9 9 9 10 10 11 11 10 8 7 6 5 5 6 7 8 9 11 12 13 13 14 13 13 13 13 13 13 14 13 13 13 12 12 12 12 12 12 13 14 15 16 17 19 19 19 18 17 16 15 15 14 13 13 12 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 11 11 12 12 12 12 12 12 12 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 14 16 18 19 20 18 15 10 7 5 5 7 9 11 12 12 12 12 12 12 11 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 10 10 10 11 11 12 12 12 12 11 11 10 10 10 11 12 12 12 12 12 11 11 12 14 17 18 17 14 12 11 11 12 12 12 12 12 13 13 14 14 14 14 13 12 11 11 10 10 10 9 9 10 10 11 12 14 14 14 14 13 12 12 11 11 11 10 10 10 9 9 8 8 8 7 7 7 7 7 8 8 9 10 9 8 5 2 0 -1 0 2 4 6 8 9 10 11 12 13 14 15 16 16 16 15 13 12 10 10 10 10 11 11 11 11 11 12 12 12 13 13 13 13 12 12 12 12 12 12 12 13 13 14 13 13 13 13 13 13 13 13 14 14 14 14 15 16 17 18 18 18 17 16 16 14 13 13 12 12 12 13 15 17 20 24 26 28 29 30 31 31 30 29 28 27 25 24 22 20 18 17 16 15 15 14 13 12 11 9 7 4 -1 -5 -4 -1 2 6 8 8 9 9 10 11 12 12 12 11 11 11 11 11 11 12 13 13 13 13 13 11 10 8 7 7 7 7 8 9 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 11 11 10 10 9 9 9 8 7 6 7 8 10 12 13 14 15 15 15 13 13 12 12 13 13 13 13 12 12 12 12 12 11 11 11 11 11 11 11 12 12 13 13 12 11 10 9 8 9 10 11 nan
nan 9 9 8 6 5 5 5 6 7 7 7 6 6 6 8 10 13 15 16 17 17 17 17 17 17 16 16 15 15 15 14 12 11 10 10 10 10 10 9 9 11 12 13 14 15 16 16 17 17 17 16 15 13 13 12 13 13 14 16 16 16 16 15 15 15 14 14 12 11 10 9 8 7 6 5 5 5 6 6 7 7 7 8 9 10 10 11 12 14 14 14 14 14 15 15 14 14 13 13 12 11 10 9 9 9 8 9 10 11 11 12 12 11 10 9 7 6 6 7 8 10 11 13 14 15 15 15 15 14 14 14 13 14 14 14 13 13 12 12 11 12 12 12 13 14 15 16 16 17 17 16 16 15 15 14 14 13 13 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 12 12 12 12 12 12 12 12 12 13 13 13 14 14 15 16 17 19 19 16 12 8 5 4 5 8 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 13 13 12 12 11 11 11 10 10 10 11 12 13 13 13 13 12 10 9 9 9 10 11 12 13 13 13 12 12 11 11 13 14 14 14 13 12 11 11 11 11 11 12 12 13 14 14 15 14 14 13 13 12 11 11 10 9 9 9 9 10 11 12 13 13 13 14 13 13 12 12 12 12 11 11 10 10 9 9 8 8 8 8 7 7 7 6 6 6 5 4 3 1 0 1 3 5 7 9 10 10 10 11 11 12 13 14 16 17 17 16 14 13 11 10 10 10 11 11 11 11 11 11 12 12 13 13 13 13 13 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 14 14 14 14 15 16 17 17 18 17 17 16 15 14 13 13 12 12 12 13 14 16 19 22 24 27 29 31 31 32 31 30 29 27 26 24 21 20 19 17 16 16 15 14 13 12 10 8 3 -2 -4 -3 -0 3 7 8 9 9 10 11 11 12 12 11 11 10 10 10 10 10 11 11 12 12 12 12 11 10 9 8 7 7 7 7 8 9 9 9 10 10 10 10 10 11 11 12 12 11 11 11 11 11 11 11 10 10 10 10 10 9 8 6 5 5 6 8 11 13 15 16 15 14 12 11 11 12 13 15 15 14 14 13 12 12 12 12 12 12 11 12 12 12 13 13 13 13 12 12 11 10 10 10 12 13 nan
nan 9 9 10 9 7 7 7 8 9 10 10 9 8 6 6 7 8 10 12 13 14 14 15 15 15 15 15 14 14 13 12 12 11 11 12 13 12 11 10 10 10 12 13 14 15 16 16 16 16 16 15 15 14 13 13 13 14 14 14 15 15 15 15 15 15 15 14 13 12 11 11 10 9 8 7 7 7 8 8 9 10 10 10 11 11 12 13 14 15 17 17 16 16 15 14 14 14 14 13 12 11 10 10 9 9 9 10 10 11 12 13 13 14 13 12 11 9 9 10 11 13 15 16 16 16 16 15 15 14 14 14 13 14 14 14 13 13 13 12 12 13 13 14 14 14 14 14 14 14 14 13 13 13 13 13 13 13 12 12 12 12 12 13 13 13 14 14 14 14 13 13 13 13 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 14 14 13 13 15 18 18 18 14 9 5 3 6 8 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 13 13 13 13 12 11 11 10 10 10 11 12 13 14 14 13 12 10 9 8 9 10 11 12 12 13 13 12 12 11 10 10 10 11 11 11 11 11 10 10 10 11 11 12 12 13 13 13 13 13 13 13 13 12 11 11 10 9 9 9 9 9 10 10 11 12 12 12 12 12 13 12 12 11 11 10 10 9 9 9 8 7 6 5 4 3 2 2 1 1 1 1 2 3 5 7 9 10 10 10 10 11 11 12 13 14 15 17 17 17 16 14 12 11 10 10 10 11 10 10 11 11 11 12 12 13 13 13 13 13 13 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 14 14 14 14 14 14 15 15 16 17 17 17 17 16 15 14 14 13 13 13 12 13 14 15 17 20 23 27 29 30 32 32 32 31 29 27 25 23 22 20 18 17 17 16 15 14 13 11 8 3 -2 -3 -3 0 4 7 9 9 10 10 11 11 11 11 11 10 10 10 9 9 9 10 10 11 11 11 12 12 11 11 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 10 8 6 5 5 6 9 12 14 15 14 13 12 11 11 12 14 15 16 15 14 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 11 11 11 13 14 14 nan
nan 8 9 9 10 9 9 8 8 8 9 10 10 9 7 5 4 3 4 5 7 9 11 12 13 13 14 14 13 12 11 10 9 9 10 11 13 14 14 13 12 11 12 13 15 16 16 16 15 15 15 15 15 14 14 14 14 14 15 15 14 14 14 14 14 14 14 14 14 13 13 12 12 11 10 10 9 9 10 10 10 11 11 12 12 12 13 13 14 16 17 17 17 16 15 14 14 14 14 13 13 12 11 11 10 10 10 10 11 12 13 14 15 16 16 16 15 14 13 13 13 13 14 15 14 14 14 13 13 13 12 12 13 13 13 13 13 13 13 13 14 14 15 15 15 15 14 13 12 11 11 10 10 10 11 11 12 12 12 11 12 12 12 12 13 13 14 14 14 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 14 18 20 22 19 14 7 3 3 4 8 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 13 13 14 14 13 12 11 10 10 11 12 13 14 14 14 13 12 11 11 10 10 10 10 11 12 12 12 12 12 11 10 9 9 9 10 10 11 11 10 10 10 10 11 11 13 13 13 13 12 12 12 12 12 12 12 11 11 10 9 9 7 5 5 5 6 8 9 10 11 11 11 11 11 10 9 8 8 8 8 7 6 4 3 1 1 -0 0 1 2 3 4 5 7 8 9 10 10 10 10 10 10 11 11 12 13 15 16 17 17 17 15 13 11 10 10 10 10 10 10 10 10 11 11 12 13 13 14 13 13 13 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 14 14 14 14 14 14 15 15 16 16 17 17 17 16 16 15 15 15 14 13 13 13 13 14 16 19 22 25 27 30 32 32 32 31 29 27 25 24 21 19 18 18 17 16 15 14 13 9 3 -0 -3 -3 1 4 7 8 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 11 12 12 12 11 11 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 10 10 10 11 11 11 12 12 11 10 8 7 7 7 8 10 12 12 12 11 11 11 12 13 15 15 15 13 12 12 12 13 14 14 14 14 14 13 13 13 13 13 13 13 13 12 12 12 13 13 14 13 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
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65 67 68 61 50 47 54 63 66 77 77 68 63 55 42 43 38 34 35 37 39 42 45 47 48 48 49 49 47 43 40 38 39 48 55 51 51 49 45 34 27 25 22 20 19 19 20 24 27 25 19 16 12 11 13 9 6 6 4 4 5 7 8 6 5 5 4 4 5 5 3 2 3 5 7 8 7 6 6 6 7 7 8 9 8 6 5 5 5 4 5 6 7 9 11 12 12 12 12 12 12 9 8 8 6 6 6 8 9 9 9 9 8 7 7 7 7 6 6 6 6 6 5 5 4 4 3 4 4 4 2 0 0 0 0 0 0 4 22 48 40 23 4 0 0 0 0 0 0 0 0 1 18 48 26 68 262 623 1043 1418 1689 1886 2025 2116 2181 2178 2113 2069 2019 1952 1907 1865 1712 1362 814 317 66 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 5 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 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 7 12 20 24 23 18 22 39 41 38 41 47 55 57 49 34 23 17 14 15 18 18 17 19 20 21 19 20 19 19 20 20 19 17 14 11 9 8 9 10 11 12 13 11 11 10 9 9 9 8 7 6 6 6 6 5 4 3 4 5 5 5 5 5 5 5 4 4 4 4 4 5 6 6 5 5 4 3 3 3 5 13 36 72 91 96 111 193 350 632 1072 1610 1998 2038 1873 1683 1460 1214 1039 947 873 843 829 719 603 560 628 745 826 916 1168 1417 1423 1391 1588 1922 2111 2100 2120 2068 2046 1971 2079 2103 1890 1699 1733 1865 1864 1640 1461 1351 1592 1890 2141 2207 2174 2074 1940 1837 1787 1757 1668 1485 1398 1281 1235 1271 1422 1702 1853 1772 1621 1603 1853 2290 2701 2957 3003 2924 2436 1784 1286 1070 1044 1031 1055 1293 1798 2185 2190 2234 2530 2594 2665 3007 3200 3037 2601 2376 2317 2311 2237 2146 2172 2020 1246 1280 1351 1329 1251 1104 1127 1147 1139 1171 1408 1881 2365 2631 2515 2429 2302 1991 1900 1727 1325 1443 1707 1855 1923 1909 1790 1720 1976 2575 3078 3307 3355 3133 2646 2266 2061 1976 1954 1908 1826 1753 1633 1398 1380 1783 2217 2494 2699 2809 2757 2681 2674 2609 2520 2584 2419 2064 1920 2196 2608 2753 2511 1962 1432 1581 2394 2860 2756 2308 2161 2356 2569 2727 2843 2913 2833 2800 2992 3210 3195 3128 3090 3102 3037 2979 2882 2869 3006 3133 3062 2879 2711 2489 2300 2341 2298 2081 1891 1823 1872
71 71 66 60 55 54 55 61 58 77 77 66 62 58 56 53 48 38 36 35 36 40 48 57 61 63 66 64 56 52 50 46 43 51 55 55 53 47 40 32 26 26 26 24 21 19 18 21 26 26 20 15 11 9 10 9 7 5 3 3 5 7 8 7 6 5 5 4 5 6 4 3 3 5 6 7 6 6 7 7 7 8 9 9 8 7 6 6 6 6 8 7 7 8 11 12 12 12 12 12 11 9 9 9 8 8 8 9 10 8 7 8 9 8 8 8 8 7 6 5 6 6 5 4 4 4 4 4 4 4 2 1 1 0 0 0 0 0 7 22 34 32 8 1 0 0 0 0 0 0 0 6 26 36 37 146 454 881 1299 1625 1840 2008 2134 2218 2247 2184 2058 1935 1825 1723 1637 1508 1274 773 303 75 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 8 10 12 13 14 18 27 32 41 46 52 57 52 41 30 24 22 20 18 16 14 12 13 18 17 18 19 20 20 19 18 18 17 14 13 12 10 9 8 9 10 11 10 10 10 9 9 10 10 9 7 7 7 6 4 2 2 3 4 4 4 4 4 4 4 4 4 4 4 4 5 6 7 6 6 5 4 2 2 2 3 4 9 20 28 37 65 121 268 552 1072 1615 1796 1671 1492 1337 1231 1176 1173 1180 1180 1224 1097 936 824 812 894 1032 1176 1342 1554 1657 1590 1646 1829 2006 2077 2209 2165 2127 2134 2088 2053 2028 2012 2054 2121 2164 1885 1739 1403 1459 1665 1910 2075 2101 2014 1871 1767 1735 1713 1641 1419 1192 1085 1019 1006 1162 1495 1684 1668 1573 1526 1634 1970 2458 2838 2923 3071 2653 2017 1473 1213 1106 1047 1105 1453 2009 2335 2306 2332 2555 2754 2572 2868 3084 3007 2635 2217 1873 1734 1765 1850 2058 2428 1833 1509 1364 1264 1350 1205 1155 1172 1160 1132 1214 1494 1962 2468 2667 2745 2520 2067 2165 2053 1520 1318 1509 1771 1996 2101 1991 1918 2138 2569 2846 3028 3092 2883 2488 2090 1778 1666 1783 1841 1945 2083 2069 1816 1441 1620 2016 2357 2553 2492 2333 2314 2392 2385 2336 2299 2150 1840 1707 1954 2463 2930 3069 2755 2172 2111 2557 2947 2884 2510 2297 2330 2546 2730 2794 2845 2792 2807 2998 3126 3071 2990 2924 2983 2976 2919 2775 2602 2787 3072 2967 2721 2546 2404 2322 2399 2334 2103 1877 1730 1708
75 66 62 59 55 52 50 48 42 47 68 64 61 54 47 49 49 40 35 34 35 39 49 66 75 72 69 65 60 63 63 51 44 51 53 56 48 42 38 34 29 27 28 26 24 21 18 18 21 22 19 15 12 9 10 9 7 5 4 3 4 7 8 8 7 5 5 4 6 7 5 3 3 4 5 6 7 7 9 9 8 9 10 9 8 7 7 7 8 8 9 9 7 8 11 12 12 12 12 12 11 9 10 10 10 9 10 9 8 7 7 9 9 8 7 7 8 6 5 5 6 6 5 4 4 4 4 4 4 3 2 2 1 0 0 0 0 0 13 30 36 27 8 1 0 0 0 0 0 0 0 9 19 24 93 339 763 1206 1557 1814 1974 2085 2205 2279 2198 1958 1698 1550 1522 1484 1329 1062 642 219 33 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 12 12 13 17 19 17 22 27 31 31 31 34 36 31 27 26 24 22 21 18 14 13 17 18 19 19 19 20 20 19 18 16 13 12 13 15 13 11 10 10 10 10 10 10 10 10 11 11 11 9 8 8 7 5 3 4 4 4 3 3 4 4 4 4 4 4 4 4 4 5 7 7 7 7 6 6 5 4 4 3 3 3 3 5 8 19 31 66 167 500 887 1050 998 943 1023 1116 1193 1246 1306 1416 1582 1561 1390 1169 1094 1197 1316 1307 1248 1219 1223 1276 1383 1446 1606 1840 2038 2065 2033 2053 2069 2056 2127 2261 2266 2170 2154 2105 2126 1807 1533 1555 1745 2001 2173 2132 1950 1812 1760 1705 1600 1400 1153 957 840 756 714 1059 1426 1563 1541 1496 1520 1694 2215 2770 2933 3017 2750 2289 1698 1287 1140 1114 1251 1686 2199 2404 2386 2327 2307 3021 2696 2768 2922 2947 2733 2292 1816 1546 1534 1741 1987 2445 2260 1901 1433 1184 1311 1304 1221 1198 1187 1147 1112 1096 1374 1790 2199 2430 2317 1733 2114 2324 1855 1386 1330 1596 1970 2249 2378 2465 2607 2797 2913 3010 2976 2742 2370 1951 1575 1409 1641 1728 1941 2278 2542 2088 1520 1527 1886 2269 2507 2533 2294 2087 2116 2175 2116 2017 1927 1758 1628 1732 2194 2862 3252 3237 2869 2748 2847 2978 2937 2747 2552 2509 2653 2699 2723 2855 2813 2833 2955 2996 2894 2639 2444 2590 2861 2973 2791 2205 2628 2871 2792 2615 2510 2460 2460 2475 2395 2145 1900 1701 1603
56 55 64 65 63 62 58 51 46 47 53 52 53 46 42 46 48 41 34 31 31 35 45 55 61 59 58 59 59 60 57 46 38 42 41 49 40 38 42 40 34 30 30 28 26 24 21 18 16 17 19 17 13 10 8 6 5 4 4 5 5 7 8 8 7 6 5 5 6 6 5 3 2 4 4 5 5 7 8 8 9 9 9 8 8 7 8 9 10 11 10 10 10 10 12 12 12 12 12 12 11 10 11 11 12 10 12 9 6 6 7 9 9 8 7 7 7 5 5 6 6 6 5 4 4 4 4 4 3 2 2 1 0 0 0 0 0 5 20 52 89 75 23 1 0 0 0 0 0 0 0 3 6 53 263 668 1139 1514 1764 1948 2071 2136 2232 2208 1942 1572 1316 1242 1276 1061 640 330 155 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 13 15 16 18 18 17 19 18 20 34 37 31 28 27 27 27 26 26 24 22 19 18 18 19 19 21 20 20 19 19 19 18 16 14 14 15 16 15 15 14 12 13 12 12 12 13 13 13 13 10 8 8 8 7 6 6 4 3 2 2 2 3 3 3 3 2 3 4 4 4 6 7 6 6 6 5 5 5 5 4 4 3 3 3 3 5 7 9 19 96 258 438 548 628 787 946 1146 1344 1275 1412 1645 1716 1551 1340 1165 1035 1007 1023 962 918 883 899 1007 1114 1268 1530 1770 1906 1957 2002 2056 2088 2120 2168 2166 2080 1895 1857 2008 2015 1645 1554 1730 2019 2255 2249 2079 1930 1829 1709 1551 1319 1108 915 790 713 653 825 1171 1448 1540 1498 1502 1473 1932 2579 2958 2911 2612 2386 1941 1437 1197 1195 1436 1933 2347 2358 2176 2069 2069 2533 2695 2804 2849 2859 2862 2626 2126 1783 1552 1577 1852 2175 2276 2147 1814 1454 1332 1333 1287 1219 1179 1099 1019 913 1027 1240 1571 1817 1903 1825 2038 2398 2212 1647 1330 1454 1676 2126 2575 2926 3102 3209 3255 3193 3037 2782 2413 1969 1531 1494 1617 1745 1941 2381 2587 2099 1595 1590 1900 2299 2405 2535 2434 2276 2222 2201 2116 2038 2017 1995 1890 1859 2210 2728 3138 3313 3202 3092 3081 3102 3097 2990 2722 2482 2409 2320 2499 2721 2785 2885 2936 2893 2808 2639 2468 2418 2641 3121 2948 2415 2446 2636 2663 2536 2462 2472 2500 2568 2469 2196 1968 1785 1643
71 72 80 76 73 73 71 64 57 52 48 46 46 44 43 57 58 46 39 37 36 36 41 50 58 57 57 63 58 49 47 45 42 40 36 39 41 36 44 45 37 32 30 29 28 26 22 18 15 18 20 17 14 10 7 5 4 5 5 6 6 7 8 8 6 5 5 5 6 6 6 3 2 3 4 4 5 6 8 8 9 9 9 9 8 8 10 12 14 14 13 13 12 13 13 11 11 12 12 12 11 10 10 11 11 11 11 8 5 7 9 10 10 8 7 7 6 5 5 6 6 5 4 4 4 4 4 3 2 2 2 1 0 1 1 1 1 14 32 110 135 79 21 1 0 0 0 0 0 0 0 0 21 193 583 1075 1485 1737 1886 2014 2140 2210 2201 2007 1569 1181 981 720 342 194 134 42 6 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 2 8 14 16 17 17 17 19 21 17 17 29 38 43 37 31 28 27 26 26 29 29 25 21 19 20 19 22 24 24 25 25 23 20 18 16 16 17 15 16 17 17 17 17 16 16 14 13 14 13 12 10 9 10 10 9 8 8 5 4 2 2 2 2 2 2 2 2 2 3 5 6 6 6 5 4 4 4 4 5 5 4 3 3 3 3 3 3 3 3 4 9 42 136 279 446 663 794 1037 1277 1212 1290 1481 1682 1776 1742 1469 1054 889 923 885 852 836 821 838 980 1192 1377 1591 1803 1924 1980 2035 2063 2091 2145 2156 2078 1845 1604 1690 2037 1994 1879 1946 2098 2224 2223 2143 2039 1884 1692 1494 1257 1065 910 793 714 669 734 987 1335 1530 1534 1536 1470 1803 2477 2995 3018 2653 2390 2087 1596 1267 1251 1583 2158 2481 2170 1917 1671 1772 2082 2398 2718 2875 2832 2892 2882 2553 2140 1711 1487 1595 1784 1947 2001 1873 1641 1384 1313 1284 1229 1191 1106 1018 952 926 1040 1256 1492 1625 1614 1799 2321 2423 2046 1669 1525 1540 1824 2340 2901 3288 3471 3489 3365 3212 3034 2723 2219 1748 1655 1749 1949 2166 2517 2728 2442 2047 1959 2116 2330 2408 2546 2568 2521 2446 2280 2125 2175 2371 2499 2350 2265 2549 2886 3064 3194 3212 3177 3155 3168 3185 3116 2790 2389 2013 1819 2060 2443 2776 2933 2860 2763 2788 2705 2444 2175 2274 2863 2948 2681 2389 2402 2563 2477 2398 2430 2571 2664 2501 2276 2079 1910 1751
84 81 80 80 82 82 78 71 62 52 45 45 49 48 52 68 67 58 56 56 51 45 42 44 48 51 52 50 43 42 47 50 50 45 39 41 46 42 47 42 33 30 31 33 31 28 23 20 18 18 18 15 12 8 6 4 4 5 5 6 6 7 7 8 6 5 5 5 5 5 5 4 3 2 4 3 4 6 7 8 9 9 9 9 8 9 11 14 15 13 14 14 13 13 12 11 11 12 12 12 11 10 11 12 12 12 10 7 6 8 10 10 10 7 8 8 6 5 5 5 5 4 4 4 4 3 4 2 2 2 2 2 1 1 1 1 1 5 28 128 127 57 12 0 0 0 0 0 0 0 0 3 103 468 998 1461 1741 1868 1942 2043 2169 2223 2083 1683 1151 835 554 171 34 20 17 8 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 1 7 12 14 15 16 19 19 19 19 17 17 23 34 41 37 30 28 30 32 32 31 27 23 21 20 19 20 22 21 22 24 25 24 21 17 17 17 13 16 17 16 16 18 20 19 18 18 17 14 12 11 10 11 11 10 10 11 9 7 4 3 2 2 1 1 1 2 3 4 6 6 6 5 5 5 4 4 4 5 5 5 4 4 3 3 2 2 2 2 3 6 10 27 77 194 359 532 724 861 957 1013 1113 1356 1598 1839 1926 1599 1346 1171 1046 979 906 789 766 931 1253 1482 1653 1856 2015 2067 2089 2127 2157 2169 2163 2153 1967 1619 1623 1976 2206 2258 2256 2249 2230 2191 2163 2086 1890 1689 1449 1237 1061 913 801 718 669 700 867 1284 1569 1602 1565 1601 1869 2457 2955 3022 2717 2416 2167 1807 1458 1357 1709 2344 2508 2074 1653 1387 1489 1831 2133 2497 2855 2887 2915 2956 2835 2380 1898 1541 1478 1534 1625 1796 2102 2110 1434 1267 1215 1215 1230 1164 1051 975 895 956 1175 1514 1732 1524 1430 2028 2287 2270 2047 1717 1437 1496 1856 2409 2974 3404 3622 3500 3393 3283 3083 2623 2296 2004 1938 2218 2574 2888 3020 2891 2756 2535 2483 2488 2502 2494 2524 2543 2485 2344 2230 2316 2535 2696 2614 2662 2827 2946 2865 2880 3062 3194 3139 3111 3163 3084 2776 2373 1803 1547 1723 2112 2457 2673 2791 2626 2637 2690 2551 2078 1999 2377 2753 2836 2557 2256 2402 2398 2344 2396 2513 2564 2499 2331 2141 1994 1835
83 78 75 74 75 74 71 69 62 52 43 45 53 54 59 69 70 71 75 72 66 56 48 48 50 48 47 44 41 43 48 49 47 43 41 44 48 47 42 34 27 26 30 33 31 26 22 19 17 14 13 11 9 7 5 4 4 5 6 6 7 6 7 8 6 5 5 5 5 5 4 4 3 3 4 4 2 6 7 8 8 8 8 8 8 8 10 13 13 13 13 13 13 12 11 10 10 11 12 12 11 12 12 12 13 13 10 8 8 9 10 10 9 7 7 8 6 5 5 5 4 4 4 4 4 4 3 2 2 2 2 1 1 1 1 1 1 2 11 84 65 16 2 0 0 0 0 0 0 0 6 57 319 877 1416 1739 1874 1916 1978 2083 2179 2152 1830 1199 656 423 83 9 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 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 5 10 9 9 11 12 11 15 19 18 17 18 23 30 31 28 27 27 26 25 25 26 25 23 20 19 20 21 21 21 21 22 24 22 20 20 18 15 16 18 18 18 20 21 20 20 19 18 15 13 12 12 12 10 10 10 12 12 9 7 5 4 3 2 1 0 1 2 3 3 3 3 5 6 6 5 5 5 5 5 5 5 4 3 2 2 1 1 1 2 4 8 12 18 38 99 225 386 576 725 783 782 863 1070 1452 1890 1950 1755 1516 1381 1276 1098 897 790 947 1294 1597 1827 2037 2202 2304 2339 2360 2379 2355 2282 2275 2133 1877 1867 2102 2327 2430 2396 2319 2233 2150 2091 1994 1836 1642 1405 1201 1029 885 803 759 734 775 838 1188 1549 1582 1596 1663 1883 2344 2738 2834 2711 2499 2203 1843 1483 1443 1872 2410 2539 2202 1702 1393 1487 1845 2141 2409 2696 2916 2985 2949 2834 2358 1869 1552 1417 1372 1396 1555 1979 2566 1705 1268 1183 1180 1238 1209 1143 1049 948 955 1230 1819 2318 1761 1437 1658 1988 2264 2304 2211 1969 1702 1680 1934 2416 3024 3454 3548 3394 3256 3072 2704 2472 2230 2111 2458 2886 3178 3071 2985 2944 2836 2701 2572 2454 2360 2312 2347 2413 2464 2512 2473 2508 2541 2601 2778 2926 2836 2595 2597 2885 3163 3147 3186 3131 3011 2812 2497 2072 1781 1758 1941 2179 2394 2743 2552 2379 2565 2689 2437 2125 2155 2584 2885 2708 2441 2354 2357 2359 2388 2438 2478 2457 2365 2184 2067 1931
82 75 77 78 76 71 66 63 57 54 63 59 57 60 64 66 68 71 73 71 73 67 68 69 64 58 52 47 45 44 42 41 39 37 35 34 36 39 37 28 23 25 28 32 29 22 18 16 13 10 9 8 7 6 5 5 5 5 6 6 7 7 7 8 7 5 5 4 5 5 4 3 3 4 4 3 3 5 7 7 8 8 8 8 8 8 8 10 11 11 12 12 12 11 10 10 11 12 12 13 12 12 13 12 13 13 11 9 8 9 10 10 9 7 7 8 5 5 4 4 4 4 4 4 3 4 3 2 2 2 1 1 1 1 1 1 1 1 3 9 6 1 0 0 0 0 0 0 0 1 42 243 723 1336 1732 1881 1929 1938 1992 2109 2183 2033 1495 709 175 65 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 7 7 7 6 7 9 16 19 19 19 20 21 24 26 27 26 28 28 26 25 23 22 20 21 20 22 22 22 22 23 23 24 24 24 21 18 18 19 20 21 21 21 20 20 20 20 18 15 13 11 12 11 11 10 11 11 10 9 8 7 5 4 3 2 1 1 2 3 5 7 8 8 8 7 6 7 7 7 7 6 5 4 3 3 2 1 1 2 3 5 11 14 14 18 52 131 285 490 625 624 577 602 804 1239 1672 1902 1877 1823 1703 1348 1022 855 999 1335 1663 1915 2123 2330 2481 2531 2567 2566 2561 2511 2465 2361 2236 2220 2309 2359 2262 2102 2168 2169 2086 1965 1822 1659 1486 1292 1112 952 839 800 792 798 874 913 1001 1449 1527 1574 1622 1805 2159 2519 2705 2710 2657 2388 1977 1730 1717 2028 2454 2678 2542 2213 2036 2098 2179 2184 2215 2490 2798 3000 2958 2710 2290 1828 1502 1328 1226 1254 1412 1732 2527 2188 1411 1178 1158 1223 1228 1162 1084 1014 1006 1204 1942 2610 2410 1981 1678 1715 1991 2265 2419 2360 2087 1844 1773 1978 2504 2921 3119 3104 2999 2827 2648 2551 2404 2364 2607 2980 3069 2968 2965 2972 2880 2710 2516 2336 2181 2073 2122 2252 2550 2911 2862 2524 2347 2370 2561 2686 2531 2281 2319 2669 2867 2844 2863 2959 2940 2770 2526 2309 2136 2052 2047 2094 2560 2935 2639 2294 2360 2587 2650 2379 2117 2510 2800 2689 2473 2375 2364 2358 2334 2331 2401 2391 2349 2269 2225 2107
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58 54 52 51 53 48 47 51 55 56 62 62 57 68 58 49 43 45 53 58 58 55 53 54 56 58 59 58 61 59 54 46 37 29 24 28 29 29 29 27 24 24 24 24 26 24 27 26 23 21 16 14 13 9 7 7 8 8 6 6 6 6 6 5 5 6 7 8 8 7 6 6 6 5 5 5 5 6 8 8 10 9 9 10 12 13 14 14 14 13 10 6 6 6 7 8 9 10 11 12 12 13 13 12 10 6 7 9 10 9 7 7 7 7 4 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 3 53 268 756 1374 1655 1774 1822 1846 1853 1833 1818 1805 1774 1744 1726 1636 1350 717 118 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 5 6 8 10 12 14 16 17 17 17 17 17 18 17 18 21 24 25 25 23 23 24 24 24 25 26 25 25 25 25 26 26 26 25 25 25 25 25 23 21 23 22 24 22 20 18 17 16 15 14 12 12 12 12 10 9 7 8 8 7 7 8 9 9 10 10 11 10 10 10 10 10 10 10 10 10 10 9 8 8 7 7 7 6 6 5 5 5 5 5 5 5 4 4 3 3 4 6 8 7 4 31 180 458 745 997 1170 1267 1369 1641 2103 2440 2300 1890 1558 1458 1543 1646 1681 1707 1790 2043 2244 2417 2496 2416 2224 2075 2015 1933 1765 1535 1311 1098 915 773 639 525 487 576 684 737 774 727 902 1005 912 893 1379 2276 3045 3558 3595 3197 2766 2540 2314 2297 2288 2439 2715 2941 3051 3104 3188 3193 3036 2822 2578 2393 2500 2705 2574 2364 2160 1960 1771 1570 1336 1140 1227 1695 2546 2449 2066 1904 1689 1425 1271 1242 1250 1231 1164 1132 1044 1106 1360 1851 2446 2992 3332 3194 2627 2259 2176 2350 2707 2776 2686 2620 2695 2781 2752 2640 2624 2720 2927 3093 3130 3105 2905 2547 2303 2187 2099 2003 1945 1907 1749 1694 1865 2171 2461 2573 2576 2507 2401 2291 2117 1885 1818 1883 1924 1943 2073 2276 2439 2479 2306 2176 2167 2288 2387 2072 1638 1690 2120 2523 2699 2629 2475 2444 2508 2527 2487 2464 2445 2424 2370 2329 2287 2218 2084 2026 2057 2170 2125 1957
49 46 46 46 45 43 41 42 42 48 58 60 59 64 63 55 47 44 49 54 56 53 48 47 50 53 53 52 57 58 60 55 45 34 26 27 32 36 32 24 22 31 40 41 40 36 30 30 28 24 16 13 13 11 9 9 11 11 9 7 6 6 6 5 6 7 8 8 8 8 8 8 7 5 5 6 5 6 8 11 15 14 12 13 12 12 13 14 14 13 9 7 6 6 6 7 8 10 11 12 12 12 11 9 6 5 9 10 10 8 7 7 7 6 3 4 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 2 35 201 617 1193 1567 1740 1815 1844 1854 1819 1780 1729 1638 1552 1500 1410 1146 686 590 84 10 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 2 3 4 7 8 10 13 15 16 16 16 17 17 17 17 17 21 24 25 26 25 25 25 23 22 23 24 24 24 24 24 24 25 25 24 24 25 26 25 24 22 25 25 25 24 23 21 19 17 15 15 14 13 12 11 11 11 10 9 8 8 8 9 10 12 13 13 13 13 13 12 12 12 12 11 10 11 11 10 9 9 7 7 7 7 6 6 6 6 5 5 6 6 5 3 3 3 2 3 4 6 6 8 46 169 377 654 970 1246 1466 1758 2152 2519 2573 2301 1906 1635 1580 1615 1585 1667 1800 2092 2262 2355 2399 2302 2122 2018 1981 1879 1713 1501 1299 1096 903 736 562 416 340 436 631 719 782 847 1061 1137 990 828 1149 1941 2834 3518 3704 3304 2761 2522 2174 1974 2011 2141 2366 2632 2864 2994 3041 3033 2923 2775 2662 2505 2524 2665 2644 2505 2309 2088 1904 1772 1535 1218 1306 1566 2203 2527 2008 1586 1481 1436 1326 1257 1250 1330 1229 1207 1066 1013 1093 1371 1875 2515 3071 3335 3182 2749 2180 2139 2369 2488 2449 2354 2377 2541 2630 2479 2235 2296 2516 2755 2959 3061 2940 2644 2317 2072 1945 1837 1825 1828 1736 1696 1924 2299 2627 2807 2806 2613 2409 2196 1977 1747 1540 1514 1543 1609 1766 2006 2265 2481 2427 2295 2083 2111 2335 2370 2259 2175 2164 2352 2551 2540 2440 2442 2540 2620 2609 2525 2462 2430 2335 2354 2334 2237 2156 2124 2116 2151 2078 1826
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