Vorticity
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nan 5 5 5 6 7 7 7 7 7 7 6 5 4 4 4 3 2 1 1 1 2 4 6 8 8 7 6 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 5 5 4 4 4 4 3 3 3 4 5 6 6 7 7 7 6 6 5 5 5 5 4 3 3 3 3 4 4 4 3 3 4 4 5 5 5 5 5 5 4 4 5 4 4 4 3 3 3 3 2 2 2 2 2 3 3 3 4 4 4 5 6 6 6 6 5 5 5 5 5 5 4 4 4 4 4 5 4 4 3 3 4 4 4 4 4 4 4 3 3 3 4 4 4 4 3 3 3 3 4 4 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 2 2 2 2 3 3 4 4 4 5 5 6 6 6 6 6 6 6 6 7 7 8 9 9 9 9 8 8 7 7 6 5 3 2 3 5 6 5 3 3 4 6 7 6 3 3 6 9 13 16 13 7 4 6 8 9 10 9 8 8 8 9 9 9 9 7 6 6 8 11 11 9 6 5 5 7 7 8 9 10 8 5 1 2 5 7 6 4 2 1 2 4 5 5 1 -3 -6 -8 -5 0 2 1 -2 -3 -2 -1 -0 -1 -2 -3 -3 -5 -9 -15 -16 -10 -2 4 10 17 19 17 11 7 6 6 6 6 6 6 6 6 6 7 6 6 6 5 5 4 3 3 4 6 6 7 7 7 5 4 2 2 2 5 9 12 13 13 12 9 6 5 6 7 10 14 19 22 18 11 7 7 6 6 6 6 6 6 5 4 4 5 6 6 5 4 4 4 4 4 4 4 4 2 -2 -4 -2 2 0 -5 -5 1 8 13 15 12 8 6 5 5 5 4 4 4 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 6 7 7 6 4 3 2 3 3 4 4 3 3 3 3 3 4 4 5 6 5 5 5 5 4 4 4 3 2 2 3 4 5 5 5 4 5 5 5 5 4 4 4 6 7 8 11 13 11 8 5 3 2 2 1 2 3 5 7 8 7 7 6 5 4 4 5 5 3 0 -3 -3 -2 2 5 7 7 8 7 5 2 1 1 2 3 5 7 10 12 11 10 10 10 11 12 12 11 11 10 10 10 11 12 12 13 13 12 11 10 10 9 8 7 6 4 4 4 3 3 3 4 4 4 3 3 3 3 3 4 4 4 6 7 7 6 3 1 1 1 3 4 4 4 4 4 4 4 4 4 3 3 4 4 3 4 4 5 5 5 4 nan
nan 4 4 5 5 6 6 6 6 7 7 7 6 5 5 4 4 3 3 2 1 2 3 4 7 8 8 6 5 4 4 4 4 4 4 5 5 4 4 3 3 3 3 3 3 4 5 5 5 4 4 4 4 3 3 4 5 5 6 6 6 6 6 5 5 5 5 5 4 4 3 3 4 5 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 3 3 3 3 3 2 2 2 2 3 4 4 4 4 4 5 5 5 6 5 5 5 5 5 5 5 4 4 4 4 5 5 6 5 4 4 4 4 5 5 5 4 3 3 2 2 3 3 4 4 3 3 3 3 3 3 4 4 4 4 5 5 5 5 4 4 4 4 4 4 3 3 2 3 3 3 3 4 4 5 5 5 6 6 6 6 6 6 7 7 7 8 8 9 10 10 10 9 9 8 8 7 6 4 3 3 4 4 2 -0 -1 1 5 7 6 4 4 6 7 9 11 12 9 6 6 7 8 7 6 5 4 4 5 7 9 9 7 6 7 9 11 12 11 9 8 8 8 8 9 10 10 7 4 2 2 4 4 4 2 1 0 2 5 6 6 4 -1 -6 -7 -3 0 1 -3 -7 -10 -9 -7 -5 -3 -2 -1 -3 -7 -11 -12 -7 -0 6 11 16 19 18 14 9 7 7 6 6 6 6 6 6 5 5 5 6 6 6 5 5 4 4 3 4 5 6 7 8 8 6 4 2 1 1 4 7 10 13 14 14 11 7 5 5 6 9 14 20 23 19 11 7 8 9 8 6 6 6 6 6 5 5 5 6 6 4 3 4 4 4 4 5 5 5 4 0 -4 -5 -1 -2 -10 -13 -7 3 10 14 13 10 8 7 6 5 5 4 4 4 5 5 6 6 6 6 6 7 6 5 5 5 5 5 5 5 5 5 5 5 6 6 5 3 3 2 2 3 3 4 4 3 3 3 3 3 4 5 5 5 5 4 4 4 4 3 2 2 2 2 4 5 5 5 4 4 4 4 4 3 3 3 4 5 6 8 9 10 9 8 6 5 4 3 2 3 6 7 7 7 7 6 5 5 4 4 4 2 -0 -2 -0 2 4 7 9 11 13 11 7 3 1 1 1 2 4 6 8 8 8 7 8 10 11 11 11 10 9 8 8 8 9 9 9 9 9 9 9 9 9 8 7 5 4 4 4 4 3 3 3 4 4 4 3 3 3 3 3 4 5 7 9 12 12 10 6 3 1 1 2 3 3 4 4 4 4 3 3 3 3 4 4 4 3 3 4 5 5 5 4 nan
nan 4 4 5 5 5 5 5 6 6 6 6 6 6 6 6 5 5 4 3 2 1 1 3 5 8 8 7 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 5 5 5 4 4 3 3 3 3 4 5 6 6 5 5 5 5 5 5 4 5 5 4 4 4 4 5 5 4 4 4 4 4 5 5 5 5 5 5 5 4 4 3 3 3 4 3 3 3 3 3 3 3 3 3 4 5 5 5 5 4 4 4 5 4 4 4 4 5 5 5 5 4 4 4 5 6 6 6 5 4 4 4 5 4 4 3 3 2 2 2 3 4 5 5 4 4 3 3 3 4 4 4 5 5 6 6 6 5 5 5 5 5 4 4 4 3 3 3 3 3 4 4 4 5 5 5 6 6 6 6 6 6 6 7 7 8 9 10 11 12 12 11 10 10 9 8 7 5 1 -2 -1 2 3 2 1 2 4 5 5 4 4 5 7 8 9 9 8 6 7 7 5 3 3 3 3 3 4 6 9 9 8 8 9 9 9 10 12 11 12 12 12 12 11 10 8 6 4 3 3 3 3 3 2 1 0 1 3 4 4 3 1 -1 -2 -1 -0 -3 -7 -10 -12 -11 -9 -6 -3 -0 -1 -5 -10 -11 -7 1 8 13 17 19 18 14 10 8 7 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 6 5 5 6 6 6 8 10 12 10 7 5 3 4 5 8 10 13 15 15 11 7 5 4 6 8 13 20 24 20 10 6 10 12 9 7 7 7 6 6 6 6 6 6 6 5 4 4 5 4 4 5 5 5 5 3 -1 -4 -1 -2 -10 -18 -15 -4 6 11 13 13 11 9 7 5 5 5 4 4 4 5 5 6 6 6 6 7 6 6 5 5 5 5 5 5 6 6 6 5 4 3 2 2 2 2 2 2 3 3 4 4 3 3 3 3 4 5 5 5 4 4 4 4 4 3 2 1 1 2 3 4 5 5 4 4 4 4 3 3 3 3 3 4 4 5 6 6 7 7 8 7 7 6 4 5 6 6 7 7 6 5 4 4 4 3 2 2 0 -1 1 4 7 10 13 16 17 14 8 3 1 1 1 2 4 6 7 7 7 8 9 10 10 9 9 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 5 4 3 3 4 4 3 3 3 4 4 3 3 3 3 3 3 4 5 9 12 15 15 13 10 6 3 1 1 2 2 2 3 3 2 2 2 3 3 4 4 3 3 3 4 5 5 5 4 nan
nan 4 4 4 5 5 6 6 5 5 5 6 6 7 6 6 6 5 4 3 2 1 1 2 4 6 8 8 6 5 4 4 4 4 4 3 3 4 4 4 4 3 3 3 3 4 4 5 5 5 4 4 3 3 3 3 3 5 5 6 5 4 4 4 4 4 4 4 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 5 6 6 6 6 5 4 3 3 3 3 3 4 5 5 5 5 4 4 4 4 5 5 5 5 4 4 4 4 3 2 2 2 3 3 4 4 5 6 6 5 5 4 4 4 4 4 4 5 5 6 6 6 6 6 6 6 5 5 4 4 4 4 4 4 3 4 4 4 5 5 5 6 6 6 5 6 6 6 7 8 9 10 11 12 13 14 13 13 11 10 9 8 6 -0 -7 -6 -0 4 6 7 7 6 5 4 4 3 4 6 7 8 7 5 6 7 7 5 3 3 4 4 4 4 6 8 10 10 10 11 9 6 6 9 11 11 11 12 11 9 6 4 3 4 4 4 3 3 2 2 2 1 2 2 1 1 3 5 5 3 0 -3 -8 -11 -11 -9 -7 -5 -2 1 2 -3 -8 -10 -5 3 11 17 21 22 19 15 10 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 8 10 12 12 9 7 5 4 6 8 10 13 14 14 11 8 6 5 6 8 12 19 25 21 9 5 10 12 9 7 7 7 6 6 7 7 7 6 6 6 5 5 5 5 5 5 5 6 6 5 2 -1 -1 -2 -8 -15 -15 -6 3 8 12 14 13 11 8 6 5 5 5 5 4 4 5 5 6 6 6 7 7 6 5 5 5 5 5 6 6 6 6 5 4 2 1 2 2 2 2 2 3 3 3 4 4 3 3 3 4 5 5 5 4 4 4 4 4 3 2 2 1 2 3 4 5 5 4 4 3 3 3 3 3 3 3 3 3 4 4 4 5 6 7 8 8 8 7 7 6 6 6 5 4 4 3 3 3 3 3 2 1 -0 1 5 10 14 16 18 17 13 7 3 1 1 1 2 4 6 6 6 7 8 8 8 8 8 8 7 7 6 6 6 6 6 6 6 6 5 4 3 4 4 4 3 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 4 6 9 13 15 15 13 10 6 3 2 1 1 2 2 3 3 2 2 2 3 4 4 4 3 3 3 4 5 5 5 4 nan
nan 3 3 4 4 5 6 6 5 4 5 5 6 6 6 6 6 5 4 3 2 1 1 1 2 5 7 7 6 5 4 4 5 4 4 3 3 3 4 4 3 3 3 3 3 4 5 5 5 5 4 3 3 3 3 3 3 4 5 5 5 4 4 3 3 3 4 4 4 4 4 3 3 4 5 5 5 5 5 6 6 5 5 5 5 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 5 5 6 6 7 7 7 6 5 4 3 3 3 4 4 5 5 5 4 4 4 3 4 4 4 4 4 3 4 4 4 3 2 2 3 4 5 6 6 6 6 6 5 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 6 6 5 5 5 5 4 4 4 4 4 4 5 5 6 6 6 6 6 6 6 7 7 8 9 11 13 15 16 17 17 16 14 13 11 10 7 2 -3 -4 0 4 8 12 13 11 8 6 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 8 8 8 9 6 4 6 7 6 5 5 5 3 0 -1 -1 -1 0 0 1 1 0 -1 -0 2 2 0 -2 -0 4 8 8 4 -2 -8 -12 -12 -9 -5 -2 1 4 5 3 -4 -7 -3 6 14 21 25 25 21 16 11 8 7 6 6 6 6 6 5 5 5 5 6 6 6 6 6 5 5 5 6 6 6 6 6 6 6 7 8 7 7 5 3 2 3 5 7 10 12 12 11 9 9 9 8 8 10 17 25 23 11 5 9 9 7 7 8 6 5 6 8 8 7 6 6 6 6 5 5 5 6 6 6 6 6 5 4 2 -1 -3 -8 -13 -10 -3 2 5 9 12 13 11 9 7 6 6 6 5 5 4 4 5 5 6 6 7 7 6 5 5 5 5 5 6 6 6 6 5 5 4 2 2 2 2 2 2 3 3 3 4 4 4 4 4 4 5 5 5 4 4 3 4 4 4 3 2 2 2 4 5 5 5 4 4 4 4 3 3 3 3 3 3 3 3 4 4 5 6 7 8 8 8 8 8 7 6 5 4 3 3 2 2 3 5 6 5 2 -0 1 5 11 15 17 16 14 9 5 3 2 1 1 3 4 5 6 6 6 7 7 7 6 6 6 6 6 5 4 4 4 5 6 7 7 6 3 1 2 2 2 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 4 6 8 12 13 13 11 9 5 3 2 2 3 4 5 6 5 4 3 2 3 4 4 4 3 3 3 4 5 5 5 5 nan
nan 3 3 3 3 4 5 5 5 5 5 5 6 6 6 6 6 5 4 3 2 2 1 1 2 3 6 7 6 5 4 4 5 4 4 3 3 3 3 3 3 3 4 4 4 5 5 5 5 4 4 3 3 3 3 3 4 4 5 5 5 5 4 3 3 3 3 4 4 4 4 3 3 4 4 5 6 6 6 6 6 5 5 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 5 5 5 6 6 6 7 7 7 6 5 5 4 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 5 5 5 5 5 6 6 6 5 5 5 5 5 4 3 3 4 4 4 4 4 4 3 4 4 5 6 7 7 7 7 6 6 6 5 4 4 4 4 4 4 5 6 6 6 6 6 6 6 7 7 8 9 10 12 14 17 19 20 20 19 18 16 15 12 10 7 5 4 5 7 11 16 18 15 12 9 7 6 5 4 4 4 5 5 4 3 2 3 5 6 6 6 6 6 4 3 2 3 3 3 6 8 7 5 4 2 -1 -1 -1 -1 -2 -3 -4 -6 -6 -5 -2 0 -0 -3 -2 1 2 -1 -2 1 5 7 6 1 -6 -11 -12 -8 -3 1 4 6 7 7 2 -3 -1 7 16 24 27 27 22 17 12 8 7 6 7 7 6 6 6 5 5 5 5 5 6 6 6 5 5 5 6 6 6 6 6 6 5 4 3 3 3 3 2 1 1 2 4 6 8 10 11 11 12 12 12 9 8 8 13 22 25 16 8 6 6 5 6 8 7 5 6 8 8 7 6 6 6 6 5 5 6 7 7 6 6 6 6 5 4 1 -4 -10 -13 -7 -1 2 4 6 9 10 10 9 8 7 7 7 6 6 4 4 4 4 5 6 7 7 6 5 5 5 5 6 6 6 6 5 4 4 4 3 3 2 2 2 3 3 3 3 3 4 4 4 4 4 5 5 5 4 3 3 4 4 4 3 2 2 3 4 5 5 4 4 4 4 4 4 4 4 3 4 4 4 4 5 5 6 6 7 7 7 8 8 8 7 6 5 4 3 2 2 3 5 6 6 7 5 2 2 6 11 14 14 13 10 7 4 2 2 2 2 4 5 5 5 5 5 6 6 5 5 5 5 5 4 4 3 3 3 4 6 9 11 9 6 3 1 2 2 2 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 6 8 10 11 10 8 6 4 2 2 3 6 8 9 9 7 5 3 3 3 4 4 4 3 3 3 4 4 5 5 5 nan
nan 2 2 2 2 2 3 4 5 6 6 6 6 6 6 7 6 6 5 4 3 2 2 1 1 3 5 7 7 5 4 4 4 4 4 3 3 3 3 3 3 4 4 4 5 5 4 4 4 3 3 3 3 2 3 3 4 4 5 5 5 5 5 4 3 3 3 4 4 4 4 4 4 4 4 4 5 6 6 5 5 5 4 4 3 3 3 4 4 4 4 3 3 4 5 6 6 5 5 5 5 5 5 6 6 6 6 6 5 4 4 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 5 6 6 7 7 7 6 5 5 4 4 5 5 4 3 3 4 5 5 5 5 5 3 2 2 3 5 6 7 7 7 7 6 6 5 5 4 4 4 4 4 5 5 6 6 6 6 6 6 7 7 7 8 9 11 13 16 19 21 22 23 23 22 21 19 17 14 12 10 8 10 13 16 19 20 19 16 12 9 6 5 4 4 4 5 6 5 3 2 4 6 9 10 10 9 8 8 7 6 6 5 4 4 5 5 3 1 -1 -2 -2 1 2 1 -1 -3 -5 -6 -5 -2 2 3 0 -1 0 1 -1 -2 1 5 5 1 -4 -9 -10 -6 -2 2 6 8 10 9 6 -1 -2 5 14 22 25 25 21 15 11 9 7 6 6 6 6 6 6 5 5 5 5 5 5 5 5 6 5 6 6 6 6 6 5 5 5 5 4 4 3 3 3 2 2 2 4 5 6 7 8 9 11 12 13 11 8 6 5 8 17 25 22 12 6 5 4 4 6 8 7 6 7 7 6 6 6 7 7 6 5 6 7 7 6 6 7 6 6 5 4 -2 -11 -15 -9 -1 3 4 5 6 7 8 8 8 8 8 8 8 7 5 4 3 4 4 6 7 7 6 5 4 5 5 6 7 7 6 5 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 4 3 3 4 4 3 3 2 3 4 5 5 5 4 4 4 4 5 5 6 5 4 4 5 5 5 6 7 7 7 7 7 7 7 7 7 7 6 6 5 4 3 3 4 5 6 7 9 8 5 5 8 12 13 12 10 8 5 2 2 2 2 3 4 5 4 4 4 4 5 4 4 4 4 4 4 3 2 1 1 2 4 8 12 15 13 9 5 3 2 2 3 3 4 4 4 4 3 3 3 4 4 3 3 3 3 4 5 6 8 9 9 8 6 4 3 2 3 5 8 10 11 10 8 6 4 3 3 4 4 4 3 3 3 3 4 4 4 5 nan
nan 2 2 1 1 1 1 2 4 6 7 7 7 7 8 8 7 6 5 4 3 3 2 1 1 3 5 8 7 6 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 2 3 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 5 5 4 4 3 4 5 5 5 4 4 4 4 3 3 3 4 4 4 4 4 4 5 6 6 7 7 6 6 5 5 6 6 6 6 5 4 3 3 3 4 4 5 5 5 5 4 4 3 3 3 3 4 4 3 3 4 5 5 5 6 6 6 6 5 5 4 4 5 6 6 5 4 4 5 6 5 5 5 5 4 3 2 3 4 6 7 7 7 7 6 5 5 4 4 3 3 4 4 5 5 6 6 6 6 6 6 7 7 8 9 10 12 15 17 20 21 22 23 24 25 24 23 21 18 16 14 13 14 17 18 18 19 19 17 11 7 5 5 5 5 4 5 6 6 5 4 6 8 11 13 13 12 11 12 12 11 10 9 6 2 -1 -1 -2 -4 -4 -1 2 5 7 6 4 2 0 -1 -1 1 5 6 4 2 1 1 -1 -0 2 4 3 -0 -5 -7 -5 -0 2 5 9 11 12 10 3 -2 1 10 17 20 19 16 12 10 8 7 7 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 5 5 5 6 6 6 6 6 6 5 4 4 5 6 7 6 6 5 6 8 10 10 8 4 2 2 4 11 23 26 19 11 7 4 2 5 9 9 6 5 6 5 5 5 7 8 7 6 6 6 5 5 8 9 8 6 6 5 1 -8 -16 -12 -3 3 4 4 5 5 6 7 8 8 8 8 8 8 7 5 3 3 3 5 6 7 6 4 3 4 5 6 7 7 7 6 4 3 2 2 2 3 3 3 3 4 4 4 4 4 4 4 4 5 6 6 5 4 3 3 4 4 3 3 3 3 4 5 5 4 4 4 3 4 5 6 7 6 5 4 5 6 6 6 7 8 8 7 6 6 6 6 6 6 6 6 6 6 5 4 4 5 8 11 13 12 10 9 10 12 12 10 8 6 3 2 1 1 1 3 4 4 3 3 3 3 3 3 3 3 3 3 3 2 2 1 1 2 5 9 14 15 14 10 6 4 3 3 3 3 4 4 4 4 3 3 4 4 4 4 3 3 3 4 5 6 7 7 7 5 4 3 3 3 4 6 8 9 9 8 6 5 4 4 4 4 4 3 3 3 3 3 3 4 4 5 nan
nan 2 2 2 1 1 1 1 2 4 6 7 8 8 9 9 9 8 6 5 4 3 2 1 1 3 6 8 8 6 5 4 3 4 4 4 4 4 3 3 4 4 4 4 4 3 3 3 3 3 4 4 4 3 3 3 3 4 4 4 4 4 5 5 5 5 4 4 4 4 5 5 5 5 4 3 3 4 4 4 4 3 3 3 3 3 3 4 5 5 5 5 6 6 6 7 7 7 6 6 5 6 7 7 7 6 5 4 3 3 4 4 5 6 6 6 5 5 4 4 4 4 4 4 3 3 4 5 5 5 5 5 5 4 4 4 5 5 5 7 8 8 6 6 5 6 6 6 5 5 5 5 4 3 3 4 6 7 7 6 6 6 5 4 4 3 3 3 3 4 5 5 6 6 6 6 6 6 7 7 8 9 11 13 16 18 20 20 21 22 23 24 24 23 21 20 19 18 19 20 19 16 15 16 15 11 5 2 2 3 3 3 2 3 5 6 6 6 7 7 7 8 10 12 12 11 9 8 6 5 3 -2 -5 -5 -4 -3 -2 0 4 7 9 9 7 5 4 3 2 4 6 7 7 6 5 3 3 3 5 6 5 2 -1 -2 1 4 5 8 10 11 11 8 2 1 7 13 15 14 12 9 8 7 7 7 7 6 6 6 6 6 6 5 5 6 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 6 6 6 7 7 6 5 4 4 4 5 6 5 3 1 1 3 3 7 16 24 24 19 14 8 4 6 10 10 7 5 5 4 3 3 6 10 9 8 7 7 4 4 9 12 10 7 6 6 3 -6 -15 -12 -2 3 4 4 5 6 6 6 6 7 8 8 8 8 8 6 5 3 3 4 6 7 6 4 3 3 4 5 6 7 8 7 6 4 3 2 2 3 3 4 4 4 4 5 4 4 4 4 5 5 6 6 6 5 4 3 4 4 4 4 3 4 4 4 4 4 4 3 3 4 5 7 8 7 5 5 6 6 6 6 7 8 8 7 6 5 5 5 5 5 5 5 5 6 6 6 6 8 12 16 17 15 12 11 12 13 12 10 8 5 3 2 1 -0 0 1 2 2 2 2 2 2 2 3 3 3 3 3 2 2 1 1 1 2 5 9 12 13 12 8 6 5 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 5 6 6 5 4 4 3 3 3 4 6 7 6 5 5 4 4 4 4 4 4 4 3 3 2 2 3 3 4 4 5 nan
nan 2 2 2 2 1 0 -0 0 2 4 6 8 9 9 9 9 8 7 6 4 3 1 1 1 3 6 8 8 7 5 4 3 3 4 4 4 4 3 3 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 5 4 3 3 3 3 3 3 3 3 3 3 4 4 5 5 5 6 6 6 7 7 7 7 6 5 5 5 6 6 6 6 5 4 4 4 5 5 6 7 7 6 6 5 4 4 4 4 3 3 3 4 5 5 5 5 4 5 5 4 4 4 4 5 6 7 8 8 7 6 6 6 6 6 6 6 5 5 6 5 4 4 5 6 6 6 6 6 5 4 3 3 3 3 3 4 5 5 6 6 6 6 6 7 7 8 9 10 12 14 16 18 19 18 17 17 18 19 19 19 18 17 17 18 19 18 15 11 10 9 7 3 1 -0 1 1 0 -1 -0 2 3 4 5 6 5 3 1 2 6 10 10 7 4 3 2 1 -0 -2 -4 -3 -1 2 3 3 3 6 7 7 6 5 4 3 3 4 6 7 9 10 9 7 6 8 11 11 8 3 1 2 5 6 7 8 8 9 8 5 2 5 11 12 11 9 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 4 4 4 4 3 2 2 2 4 6 6 6 9 15 19 22 21 15 11 11 12 12 11 9 7 5 2 1 3 8 10 9 10 9 5 4 10 13 10 7 7 7 3 -6 -12 -8 0 3 3 4 5 6 6 5 5 6 7 7 7 8 8 8 6 4 3 3 5 6 6 5 4 3 3 4 5 7 9 9 8 5 3 2 2 2 3 4 4 5 5 5 5 5 5 5 5 6 6 6 6 5 4 4 4 4 4 4 4 4 3 3 4 4 3 3 3 4 7 8 8 7 6 6 7 7 7 7 8 8 8 7 6 5 5 4 3 3 2 3 4 6 8 9 9 12 16 19 18 14 11 10 11 12 12 11 9 7 4 3 1 -1 -1 1 3 3 2 3 3 2 2 2 2 2 3 2 2 2 2 1 1 1 3 6 9 10 9 7 6 5 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 5 5 5 4 3 3 3 3 3 4 5 5 5 4 3 3 3 3 4 4 4 4 3 3 2 2 3 3 4 5 5 nan
nan 3 3 3 3 2 1 0 -0 0 1 3 5 7 8 8 8 8 8 7 5 3 2 1 1 2 4 7 8 7 6 4 3 3 3 4 4 4 3 4 4 4 3 3 3 3 3 3 3 3 4 4 5 5 5 5 5 4 4 4 4 3 3 3 2 2 3 3 3 4 4 5 6 7 7 6 4 3 3 3 3 3 3 3 4 4 4 5 5 5 5 6 6 6 7 7 7 6 6 5 5 5 5 5 5 5 5 4 5 5 5 6 6 6 6 5 5 4 3 3 2 2 3 3 4 5 6 6 5 4 4 5 6 4 4 5 5 5 6 7 8 8 7 6 6 7 7 8 8 7 6 5 6 6 5 5 4 4 5 6 6 6 5 4 3 2 2 3 3 4 5 5 6 6 6 6 6 7 7 8 9 10 12 14 16 17 17 16 14 13 12 13 12 11 11 10 10 10 10 9 6 4 4 4 2 2 2 2 2 1 0 0 2 4 4 2 2 4 4 2 1 2 5 7 6 4 3 3 3 3 3 1 0 0 2 5 5 3 2 3 4 4 4 4 4 2 1 2 4 6 10 12 10 6 6 9 12 13 10 6 4 5 8 9 8 5 3 4 4 1 1 7 11 10 8 7 7 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 6 5 5 5 5 5 5 6 6 6 5 5 5 6 6 5 5 4 3 3 4 6 7 7 6 5 6 10 14 18 17 15 14 14 15 16 16 14 11 8 3 1 3 7 8 10 10 7 8 12 12 9 7 7 7 3 -5 -9 -3 3 4 4 3 4 5 5 5 5 6 6 6 6 7 8 8 7 6 5 4 4 5 6 5 4 3 3 3 4 7 10 11 10 7 3 1 0 2 3 4 5 5 5 5 5 6 5 6 6 6 6 6 6 5 5 4 4 4 4 4 4 4 3 3 3 3 3 3 4 5 7 8 7 6 6 6 7 8 8 8 9 9 8 7 6 5 3 2 0 -1 -0 2 5 9 12 12 12 14 17 18 15 11 9 8 10 11 13 13 11 9 7 5 2 -0 -0 3 7 6 5 5 5 4 2 2 2 2 2 2 2 2 2 2 1 1 2 4 7 8 7 6 6 5 5 4 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 3 3 3 2 2 3 5 7 8 6 3 2 3 3 3 4 4 4 3 3 3 3 3 4 4 5 5 nan
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nan 7 7 6 6 6 7 8 9 10 10 10 9 8 8 7 8 8 8 8 7 7 7 8 8 9 9 10 11 13 15 16 16 14 12 11 8 7 6 7 8 9 11 12 13 13 14 14 14 15 15 15 15 15 15 15 15 15 14 14 13 12 12 13 13 13 14 14 14 14 13 13 11 10 10 10 11 11 12 13 13 13 12 12 12 12 11 11 10 11 11 12 13 13 13 13 12 11 10 10 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 12 13 13 13 13 13 13 12 12 12 12 11 11 11 11 12 12 12 12 13 13 14 14 15 15 15 14 14 13 13 13 14 14 15 14 14 15 16 16 16 16 15 13 12 12 13 13 14 14 14 13 12 12 11 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 13 13 13 14 14 14 15 14 13 13 12 12 12 14 15 15 15 14 14 13 13 13 13 12 12 13 13 13 13 13 14 15 17 17 16 13 10 9 9 10 12 13 13 13 13 13 13 12 12 12 12 12 13 12 12 12 12 11 11 12 12 13 14 14 15 16 16 14 12 10 9 9 10 11 12 12 12 12 12 12 11 10 10 11 11 11 11 12 12 12 13 13 13 12 11 12 13 15 15 14 12 11 11 11 12 12 11 9 8 7 7 7 7 8 9 9 10 10 11 11 11 11 12 14 16 17 16 15 14 13 13 12 12 12 12 12 12 12 12 12 12 12 11 11 10 9 8 7 6 5 4 3 2 2 2 2 3 5 7 8 10 10 11 12 14 15 15 14 13 11 9 9 9 9 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 11 12 12 12 13 14 14 14 13 13 13 13 13 13 13 13 13 13 14 14 15 16 17 18 19 18 16 15 15 16 17 19 22 24 27 29 30 33 34 33 31 27 23 19 15 12 10 5 2 2 3 5 8 10 11 11 11 12 11 11 11 11 12 12 12 12 12 11 12 12 11 10 9 8 8 9 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 11 11 11 11 11 11 10 9 9 11 12 12 12 10 9 9 11 12 14 15 14 13 13 13 12 11 11 11 12 13 13 13 12 11 11 11 11 12 12 12 nan
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nan 13 13 13 13 12 11 11 10 10 9 8 7 6 7 7 8 8 8 9 10 11 11 11 11 11 11 12 13 14 15 15 13 11 8 6 4 3 5 5 6 8 9 10 11 11 11 12 13 13 14 14 14 14 14 14 13 13 12 12 12 11 11 10 10 11 11 12 13 14 14 15 15 14 14 13 13 13 13 13 14 14 14 15 15 16 18 18 19 19 19 20 20 20 20 19 18 16 15 14 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 13 13 13 12 12 12 12 12 13 13 13 13 13 13 14 14 14 14 14 14 14 14 14 13 13 13 13 13 13 13 14 14 14 14 14 14 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 14 14 13 13 13 12 12 13 13 13 13 13 12 12 11 11 10 11 11 11 12 12 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 14 15 15 14 12 11 10 10 11 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 14 13 12 12 11 11 11 12 12 12 12 12 12 12 13 13 13 12 11 11 11 12 12 12 12 12 12 12 13 12 12 12 13 14 14 12 9 7 6 7 10 13 15 17 17 15 12 9 7 7 9 10 11 12 12 13 15 15 16 15 13 11 11 11 12 14 13 12 11 11 12 13 12 12 10 8 9 10 11 12 11 10 9 9 9 10 11 12 13 14 15 16 17 16 15 14 13 13 13 12 12 12 12 12 12 12 13 13 14 14 14 14 12 10 9 7 6 6 5 5 4 4 4 4 5 7 8 8 9 9 10 13 15 16 15 13 11 10 9 9 9 9 9 9 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 12 12 12 12 12 13 13 14 15 16 17 17 16 15 15 15 16 17 16 15 15 16 17 19 21 25 30 32 34 34 33 30 26 23 19 14 11 9 6 5 5 5 5 6 7 9 10 11 11 11 11 11 12 13 14 15 16 16 14 12 9 7 7 7 9 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 11 11 12 11 10 9 9 10 11 13 13 13 13 13 13 12 12 11 11 11 11 11 12 12 12 12 12 11 11 10 10 10 11 11 12 12 11 11 10 11 11 11 11 11 11 nan
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nan 10 10 9 8 8 8 8 8 8 7 7 8 8 10 10 10 10 10 10 11 13 15 17 19 20 20 20 18 16 13 9 7 5 3 2 2 3 3 4 5 7 9 11 12 13 13 14 14 14 14 14 13 12 12 11 11 11 12 13 14 15 15 16 16 15 14 14 13 12 12 11 11 11 12 12 13 13 13 14 14 13 14 14 14 14 14 14 14 14 14 14 14 14 14 14 13 13 13 12 12 11 11 11 11 12 12 12 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 14 14 15 16 16 17 17 17 17 17 16 16 16 15 15 15 15 14 14 14 13 14 14 14 14 14 14 14 14 14 14 14 14 14 14 13 13 12 12 12 12 12 12 11 10 10 10 11 12 13 13 14 13 13 13 13 13 13 12 12 12 12 12 13 13 13 13 13 13 13 13 14 14 14 14 15 16 19 21 22 22 19 13 8 5 4 4 7 10 13 14 14 14 13 13 13 13 13 12 12 12 12 13 13 13 13 13 13 13 13 12 12 13 13 14 14 14 13 13 12 11 11 11 10 11 12 12 13 13 12 11 9 9 9 10 11 13 15 15 15 14 11 11 11 13 14 15 15 13 11 10 10 10 10 10 10 11 12 14 17 18 18 17 15 14 12 11 10 9 9 10 9 9 10 11 13 15 16 15 14 13 12 12 12 13 12 12 12 12 13 14 14 14 14 14 13 13 13 13 13 13 12 12 12 12 13 14 14 14 13 13 12 11 11 11 10 10 9 8 7 6 5 4 3 2 3 4 7 10 10 11 11 11 12 14 16 17 16 13 12 10 9 8 8 8 8 8 9 10 10 11 11 11 11 11 10 11 11 12 12 12 12 11 11 11 11 11 11 11 10 10 10 11 11 11 11 12 12 12 12 13 14 14 15 15 15 15 15 16 16 16 16 16 16 16 16 18 20 22 25 29 31 33 35 34 32 29 25 21 15 11 7 2 -0 1 4 7 10 12 12 12 12 12 11 11 12 12 13 14 14 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 10 10 10 10 10 10 10 10 11 10 10 9 8 8 9 10 12 13 14 14 13 12 11 10 11 12 12 13 13 13 12 12 12 11 12 11 11 11 11 12 11 11 11 11 10 10 9 9 9 9 10 10 10 nan
nan 9 8 8 6 7 7 7 8 8 8 9 9 10 10 11 11 13 13 14 16 17 18 19 20 20 18 16 14 11 9 7 6 5 4 3 3 2 3 3 4 7 9 11 12 13 14 14 14 14 13 13 13 12 12 12 12 12 13 14 14 15 15 15 14 14 14 13 13 12 12 11 11 11 11 11 11 12 12 12 12 12 13 13 13 14 14 14 14 14 13 13 13 13 13 12 12 12 11 11 10 10 10 10 11 11 12 13 13 14 14 14 13 13 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 14 14 14 15 15 16 17 17 17 17 17 16 16 16 16 16 16 15 15 15 15 14 14 13 13 13 13 14 14 14 14 14 14 14 13 13 13 13 13 13 13 13 13 13 13 12 11 11 10 10 11 12 13 13 13 13 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 14 14 14 15 15 15 16 17 19 23 24 22 18 12 8 4 5 8 11 13 14 14 13 13 13 13 13 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 14 15 15 15 14 12 11 10 10 10 11 13 15 16 15 14 11 8 7 7 8 11 13 16 16 16 14 12 11 11 11 11 11 10 10 11 12 13 13 12 12 11 12 13 14 16 17 17 16 15 14 13 11 10 9 8 8 8 9 10 11 13 15 16 16 15 14 12 12 12 12 13 12 12 12 12 13 13 13 13 13 12 12 12 12 13 13 12 12 12 13 13 15 15 15 14 13 12 10 10 10 9 8 8 7 6 5 4 3 2 3 5 7 10 11 12 12 11 12 13 15 16 16 15 12 11 9 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 11 12 12 13 12 12 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 12 12 13 13 14 14 15 15 15 15 15 15 15 15 15 15 16 16 16 17 18 20 23 26 28 32 35 35 34 32 29 23 18 14 7 0 -1 1 4 8 10 12 12 12 12 11 11 11 11 11 12 13 13 13 13 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 10 10 9 8 7 8 9 11 13 14 14 13 12 10 9 10 12 13 14 15 14 13 13 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 9 9 9 9 10 10 10 nan
nan 10 9 9 8 7 7 8 9 10 11 11 12 12 11 11 10 11 13 14 16 17 17 16 15 14 11 9 8 6 5 5 5 4 4 4 4 3 3 4 4 7 9 11 12 13 14 14 14 14 14 13 14 14 14 14 14 15 15 15 15 15 15 15 14 14 14 13 13 12 12 11 11 11 11 11 11 11 11 11 12 12 12 13 13 13 13 13 13 13 14 14 13 13 13 12 12 11 11 10 10 10 10 10 10 11 12 13 13 14 14 14 14 13 13 13 12 12 12 12 12 12 12 12 13 13 13 13 13 14 14 14 14 14 14 14 14 14 14 15 16 16 17 17 18 18 17 17 16 16 15 15 15 15 15 15 15 15 14 14 13 13 12 12 13 13 14 14 14 14 14 14 13 13 13 13 13 13 13 13 13 13 13 13 12 12 11 10 10 11 12 12 13 13 12 12 12 12 12 13 13 13 13 14 14 14 13 13 13 13 13 14 14 14 14 15 15 14 14 15 17 21 23 23 19 14 7 4 6 8 12 14 14 13 13 13 13 13 13 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 14 16 17 17 15 12 11 9 9 10 13 16 17 17 15 12 10 8 7 7 9 11 13 14 15 14 13 12 11 11 10 9 8 8 8 10 12 13 13 12 12 13 14 15 16 17 16 15 14 13 13 12 11 11 10 9 9 9 10 10 11 12 13 15 16 16 14 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 12 12 13 13 13 13 13 13 13 14 15 15 14 13 11 10 10 9 9 8 7 6 5 4 3 3 3 5 7 9 11 12 12 11 11 12 14 15 16 15 13 11 9 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 11 12 12 13 13 12 12 11 11 10 10 10 9 9 9 9 10 10 10 10 11 11 12 13 13 14 14 15 15 15 16 15 15 15 15 15 15 15 15 16 16 17 18 21 23 26 30 33 34 35 34 31 26 22 16 6 0 -1 0 4 8 11 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 10 10 9 8 7 8 9 11 12 13 13 12 10 9 9 10 12 14 15 15 14 13 12 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 9 9 9 9 10 10 10 nan
nan 11 11 10 11 10 9 9 10 11 12 12 13 12 11 9 8 8 9 10 12 14 14 14 13 9 7 5 3 3 3 3 3 3 3 3 4 5 5 6 7 8 10 12 13 14 14 15 15 15 15 15 15 15 16 16 16 17 17 17 17 17 16 15 15 14 14 14 13 13 12 12 12 11 11 11 11 11 11 11 12 12 12 13 13 13 13 13 13 14 15 16 16 15 14 13 12 12 12 11 11 10 10 10 10 10 11 12 13 13 14 14 14 14 13 13 13 12 12 11 11 11 11 12 12 13 14 14 15 15 15 15 15 15 15 15 15 16 16 17 17 18 18 19 19 18 18 17 16 14 14 13 13 13 14 14 14 14 14 14 13 13 13 12 12 13 14 14 14 14 14 14 14 14 13 13 13 13 13 13 13 14 14 13 13 13 12 11 11 11 11 12 12 12 12 12 12 12 12 13 13 13 14 14 14 14 14 14 13 14 14 14 14 14 14 14 14 14 14 14 15 18 20 21 20 15 8 2 2 3 8 12 13 13 13 13 13 13 13 13 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 15 16 18 17 13 11 8 8 11 15 17 17 15 12 11 10 10 11 11 11 11 12 12 12 11 10 10 10 10 10 9 8 9 9 10 11 11 11 10 10 13 15 17 18 18 16 14 13 13 12 12 12 11 10 10 10 11 11 11 11 11 12 13 14 15 14 13 12 12 11 12 11 11 11 11 11 11 12 13 14 14 14 14 13 13 13 13 13 12 12 12 13 13 13 13 12 12 11 10 9 9 8 7 6 5 4 3 4 5 6 8 10 11 11 11 10 11 12 14 15 15 14 11 10 8 7 8 8 8 8 8 8 8 9 10 10 10 10 10 10 10 11 12 13 13 13 13 12 11 11 10 10 10 9 9 9 9 9 10 10 10 11 11 12 13 13 14 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 16 17 19 21 24 29 31 33 35 35 33 30 27 16 5 2 -1 0 4 8 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 10 10 9 9 9 9 10 11 12 12 12 10 9 9 9 11 12 14 14 13 12 12 11 11 11 12 12 12 12 12 12 12 12 12 11 11 10 10 9 9 9 10 10 10 10 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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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60 60 73 62 56 50 46 43 41 39 38 34 29 22 15 18 29 41 48 52 51 54 55 59 68 72 70 67 63 56 62 55 44 38 39 41 43 41 39 41 40 33 26 23 22 19 17 15 15 14 11 9 10 11 12 11 12 15 12 11 8 8 8 12 11 10 11 18 21 18 19 20 18 18 15 15 13 14 15 15 15 14 11 9 10 10 10 10 6 7 8 9 9 9 10 10 10 9 6 3 3 5 7 7 7 7 6 2 2 2 2 3 3 3 4 3 3 4 3 4 4 4 4 4 4 4 4 4 4 14 101 196 226 249 277 288 298 322 304 319 405 575 525 428 331 374 507 419 271 325 514 579 414 292 304 463 543 203 20 1 0 0 0 0 102 680 1555 2215 2497 2528 2429 2346 2261 2188 2132 2096 2026 1975 2040 2222 2318 2017 1302 564 146 19 1 0 0 0 0 0 0 0 0 0 0 0 1 3 2 7 10 4 0 0 0 0 0 0 2 3 5 5 8 12 15 17 20 20 21 22 21 18 15 12 10 8 6 5 3 3 3 4 4 7 7 6 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 36 108 186 215 206 192 175 163 155 145 136 129 122 115 110 107 102 97 96 97 97 97 94 90 86 85 85 86 86 87 86 87 88 88 87 85 82 79 76 73 70 69 70 70 73 73 73 79 77 78 78 75 70 67 61 53 47 45 44 44 43 40 35 32 32 31 28 25 25 24 24 23 23 24 25 26 28 29 27 27 33 38 41 45 46 45 43 40 51 82 140 210 270 296 339 394 426 458 500 545 598 634 633 608 615 629 594 618 710 886 1176 1591 2082 2350 2252 1875 1478 1287 1287 1310 1263 1200 1132 1039 994 951 845 917 965 916 896 1011 1204 1511 1910 2266 2572 2711 2510 2127 1950 2161 2647 3126 3168 2973 2809 2523 2353 2128 1998 2156 2409 2501 2511 2717 3164 3390 3324 3602 3768 3632 3564 3465 3159 2734 2398 2213 2136 2147 2240 2461 2718 2900 2941 2924 3072 3122 3176 3177 3117 2947 2881 2904 2868 3044 3419 3686 3509 2957 2442 2165 2212 2711 3269 3450 3388 3724 3887 3561 3340 3137 2873 2592 2342 2238 2255 2285 2243 2156 2086 2065 2094 2116 2097 2094 2087 2067 2087 2127 2162 2198 2184 2014 1735 1461 1204 989 848 707 677 803 1011 1314 1982 2753 3264 3373 3265 3110 2876 2573 2343 2301 2207 2015 1587 1497 1501 1623 1824 1877 1819 2071 2468 2710 2958 3202 3026 2345 1936 1881 2220 2752 3038 2659 2222 2244 2525 2732 2656 2165 1350 754 745 909 998 1116 1480 2084 2504 2666 2579 2250 1787 1347 1003 829
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51 52 53 51 49 53 56 59 50 45 45 40 36 34 30 28 23 22 24 27 30 31 32 34 37 44 54 60 64 66 62 60 54 45 35 28 26 24 23 22 23 24 24 20 19 15 13 12 13 12 11 13 15 14 11 9 11 10 10 13 13 10 10 12 10 11 15 17 14 15 17 16 16 14 15 12 9 11 12 13 15 13 9 7 6 10 12 12 9 6 7 7 9 9 9 8 7 5 2 2 3 4 4 6 8 7 5 3 3 2 2 1 3 5 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 27 116 215 283 341 362 395 456 537 592 673 669 617 550 407 237 154 208 319 290 299 125 27 3 0 0 0 1 6 41 151 400 884 1502 1793 1769 1758 1844 1986 1916 1686 1355 980 765 829 1117 1496 1876 2198 2371 2297 1902 1278 654 209 27 2 0 0 0 0 0 0 0 0 11 33 32 11 1 0 1 0 2 1 0 0 1 1 0 0 1 4 4 3 1 0 0 0 0 0 1 6 6 6 7 5 5 5 5 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 34 96 162 170 156 144 138 135 133 134 126 117 112 111 103 95 91 89 88 91 94 93 94 93 93 91 89 86 84 82 81 77 74 73 74 72 71 72 69 70 69 65 62 59 60 59 64 68 67 66 63 58 55 53 51 49 48 48 48 47 44 40 37 35 33 32 32 30 28 27 27 26 25 24 24 24 24 23 22 22 24 22 22 23 25 28 32 35 36 36 37 39 40 41 42 45 48 55 60 69 94 101 121 150 176 193 198 210 253 326 418 485 490 484 483 486 455 405 338 281 315 433 829 1495 2076 2288 2261 2142 1986 1820 1617 1304 930 805 853 830 935 981 976 1201 1803 2502 2724 2224 1533 1313 1823 2736 3167 3360 3472 3650 4033 3977 3742 3653 3555 3467 3334 3316 3352 3268 3057 2805 2540 2346 2143 1989 1874 1870 1903 1867 1914 2120 2651 2882 2829 2807 2870 2961 3055 3089 3117 3092 3030 2965 2938 3044 3026 3011 3119 3309 3449 3486 3458 3353 3288 3567 3556 3442 3247 2928 2598 2376 2309 2297 2243 2149 1983 1783 1671 1628 1559 1590 1603 1690 1902 2018 2021 1902 1862 1867 1872 1756 1487 1218 1060 989 999 1081 1205 1473 1706 2121 2360 2430 2610 2962 3278 3334 3038 2525 2161 2154 2122 1842 1516 1642 1855 1901 1932 2137 2391 2629 2807 2900 2846 2571 2246 2123 2080 2429 2980 3229 2923 2106 1523 1602 2003 2264 2375 2634 2935 2965 2700 2330 1911 1565 1328 1277 1465 1723 1787 1649 1603 1634 1850 2315
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57 53 51 47 41 35 32 32 32 31 31 30 35 40 38 36 36 34 32 32 33 34 34 35 33 27 26 25 28 31 32 30 28 27 24 21 19 19 18 15 14 14 14 13 14 12 11 13 19 21 13 11 12 13 9 10 15 14 14 18 17 13 13 14 12 12 15 13 15 18 18 16 16 17 17 16 14 11 8 9 14 14 12 8 6 8 11 12 9 5 3 5 9 9 9 9 6 5 3 3 3 3 3 4 6 6 5 4 1 2 2 2 4 5 5 3 3 3 3 4 3 3 4 3 4 3 4 3 4 4 4 59 142 184 215 259 313 427 445 586 579 621 521 330 125 30 8 74 143 78 1 0 0 0 5 43 202 458 852 1139 1301 1439 1577 1657 1757 1902 2000 1961 1664 1120 530 210 334 730 1003 995 802 590 392 238 115 39 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 3 1 1 1 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 5 26 69 118 144 140 127 116 118 113 105 102 100 98 98 98 96 93 90 89 89 90 89 89 86 85 83 83 80 78 78 78 74 69 69 70 72 75 76 77 76 73 71 71 70 67 65 63 62 63 64 65 61 54 51 50 50 50 52 52 51 46 41 37 33 30 30 31 31 30 30 29 28 28 27 26 26 26 29 28 28 28 27 24 23 23 24 25 28 32 35 38 38 37 35 36 39 48 52 53 54 55 56 57 58 61 64 67 70 72 72 70 77 87 98 97 121 149 181 212 232 236 209 147 89 98 180 273 317 354 482 654 797 850 817 788 769 809 913 1077 1094 1015 1174 1668 2254 2377 1621 1021 932 1216 1543 1789 2274 2694 2808 2764 2884 3060 3079 3196 3420 3547 3413 3077 2734 2476 2272 2079 1950 1856 1799 1790 1821 1945 2182 2383 2599 2889 3095 3103 2870 2698 2552 2389 2226 2179 2208 2265 2400 2653 2873 2888 2893 3227 3320 3230 3226 3050 3002 3104 3193 3154 2996 2749 2437 2163 2046 2009 2007 2087 2084 1886 1611 1584 1557 1574 1575 1566 1556 1536 1471 1376 1274 1194 1172 1208 1407 1536 1554 1608 1730 1908 2127 2298 2413 2456 2392 2407 2541 2611 2619 2459 2102 1631 1877 2155 2119 1871 1680 1784 2048 2105 2058 2087 2079 2010 1843 1796 1915 2061 2133 2244 2486 2783 2924 2752 2371 1871 1716 1876 2353 2848 3123 3026 2783 2638 2545 2346 2113 1953 2042 2185 2493 2603 2455 2297 2123 2001 1881
64 58 50 43 35 27 26 27 28 29 28 28 31 35 38 37 40 42 41 38 38 35 33 31 29 26 25 24 23 21 20 21 21 21 20 19 17 16 13 12 13 12 11 13 14 12 11 14 21 20 12 10 12 13 10 11 19 14 13 19 20 15 15 17 16 15 14 14 14 18 17 16 17 17 16 15 13 10 7 8 12 13 14 10 7 8 11 11 9 6 5 6 9 10 10 9 7 5 2 3 4 3 4 4 5 5 5 4 2 2 3 3 4 4 5 3 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 48 115 143 192 251 319 420 502 584 524 517 348 140 28 3 2 18 25 16 0 0 0 4 82 355 815 784 1131 1288 1479 1524 1605 1696 1814 1949 1970 1764 1289 652 172 119 385 718 765 478 165 24 5 13 4 0 0 0 0 0 0 0 0 0 0 2 10 8 2 0 0 0 0 1 2 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 62 104 123 120 114 107 107 87 89 89 89 90 93 94 93 91 90 88 85 87 87 88 87 84 81 79 78 77 75 75 72 70 70 72 74 73 74 80 83 81 79 77 75 74 71 68 65 65 64 64 63 59 55 52 50 48 50 52 54 49 44 39 35 32 31 30 30 29 28 28 27 27 28 27 25 25 29 29 29 28 26 24 24 23 24 25 26 29 32 36 37 38 36 32 35 39 46 50 54 56 57 57 57 58 60 62 62 61 64 63 60 63 74 76 85 94 105 124 155 187 215 200 134 109 126 146 172 181 233 306 386 455 513 577 633 692 777 934 1106 1171 1158 1252 1673 2460 1857 1395 1265 1466 1620 1598 1572 1572 1624 1796 2136 2408 2459 2720 3184 3567 3543 3125 2696 2441 2264 2052 1932 1877 1843 1850 1855 2026 2538 2493 2497 2653 2946 3129 2938 2797 2628 2441 2245 2121 2102 2159 2266 2542 3141 3263 3009 2978 3135 3306 3455 3189 3039 3109 3236 3278 3181 2970 2663 2270 2085 1982 1919 1926 2100 1949 1641 1570 1609 1703 1766 1649 1454 1444 1392 1302 1184 1138 1074 1149 1354 1549 1731 1947 2162 2242 2249 2331 2404 2346 2190 2264 2547 2761 2782 2517 2176 1748 1716 2006 2081 1810 1612 1732 1928 1992 1915 1828 1740 1628 1626 1906 2125 2129 2195 2313 2477 2570 2539 2588 2431 2298 2373 2446 2820 3160 3070 2768 2582 2612 2586 2350 2087 2041 2283 2414 2639 2667 2410 2100 1905 1737 1653
66 53 43 36 30 24 23 23 25 26 26 26 28 31 32 34 42 47 47 44 40 35 34 29 25 26 25 24 22 18 15 16 18 19 18 19 18 17 16 14 13 12 13 12 12 11 10 14 20 16 12 10 12 13 11 14 18 13 10 15 15 16 17 17 15 12 12 13 14 16 16 15 17 17 16 15 13 10 7 8 10 13 12 10 8 8 12 12 10 8 7 8 9 10 9 8 6 4 2 3 4 3 5 4 4 4 5 4 2 2 3 3 3 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 20 77 103 191 250 308 390 466 499 434 373 194 26 1 1 1 0 0 1 0 0 0 46 334 889 1175 1045 1266 1542 1598 1551 1607 1733 1829 1921 1848 1503 868 273 30 81 270 385 287 71 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 17 57 31 5 0 0 0 0 1 3 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 19 57 92 103 105 103 92 85 82 84 84 85 87 89 90 89 88 87 87 87 88 87 87 86 81 77 74 72 72 74 76 77 76 75 76 77 79 83 84 85 84 83 81 78 78 77 73 67 66 65 64 64 63 61 58 55 51 50 51 54 54 48 42 38 34 33 30 30 29 28 27 27 26 25 24 25 26 28 29 29 27 26 25 24 24 24 25 26 27 30 33 35 37 38 35 34 34 39 45 50 54 57 58 57 56 58 61 64 64 62 62 59 57 56 58 60 58 64 76 91 119 169 212 218 202 197 231 267 282 255 238 251 269 312 378 456 554 678 840 1050 1260 1354 1195 1120 1540 1508 1496 1573 1911 2100 1911 1527 1251 1178 1207 1339 1614 1831 2091 2636 3370 3530 3207 2768 2455 2223 2053 1958 1909 1867 1801 1706 1843 2228 2403 2393 2300 2596 2970 2956 2857 2726 2545 2338 2148 2028 2019 1982 2121 2811 3373 3368 3045 3009 3172 3405 3306 3060 3005 3176 3419 3433 3175 2885 2481 2166 2008 1901 1799 1952 1948 1767 1609 1591 1762 1968 1857 1637 1603 1584 1420 1230 1163 1144 1208 1346 1544 1749 2013 2366 2582 2507 2352 2257 2085 2027 2228 2502 2752 2839 2715 2458 2018 1729 1876 2143 2018 1741 1755 1848 1862 1768 1650 1578 1704 2101 2456 2210 2018 2133 2273 2328 2260 2182 2195 2244 2503 2866 3011 3148 3136 2946 2576 2484 2505 2406 2249 2025 1939 2106 2362 2515 2510 2290 2001 1777 1556 1443
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