Vorticity
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nan 5 5 5 5 5 5 5 5 5 6 7 10 12 14 13 11 10 9 8 6 5 4 3 3 3 3 3 3 3 3 3 4 4 3 2 2 3 4 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 4 4 4 4 5 5 6 6 6 5 4 4 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 3 3 4 4 4 5 6 6 5 4 6 7 5 4 4 4 3 3 4 5 6 6 5 4 3 3 2 3 4 4 5 6 5 5 4 3 3 4 4 4 4 3 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 1 1 1 1 1 2 4 5 6 6 6 6 6 5 5 6 6 6 7 7 8 8 8 9 9 9 9 8 7 6 3 1 0 2 3 3 2 2 3 5 7 6 3 3 5 9 13 15 13 7 5 7 8 9 10 10 8 8 8 9 9 9 8 6 5 5 8 10 11 9 6 6 8 10 12 12 13 13 11 8 5 5 7 8 7 6 4 2 2 4 4 3 1 -1 -4 -7 -5 -1 1 -1 -3 -4 -3 -1 0 -1 -3 -5 -5 -5 -8 -13 -15 -10 -1 6 12 17 17 14 9 7 5 5 5 5 5 5 6 6 6 6 6 5 5 6 6 6 6 5 5 5 5 6 6 7 6 5 4 2 2 2 4 6 7 10 13 16 19 20 17 10 7 9 15 20 19 12 8 8 8 7 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 4 2 -1 -3 -1 3 3 -2 -4 -3 1 5 9 10 8 6 5 5 5 4 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 3 3 3 3 3 4 4 5 4 4 4 4 4 5 5 6 7 6 5 3 2 2 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 6 6 6 7 7 7 8 8 6 4 2 2 0 -1 -1 2 6 9 11 10 8 6 5 4 3 2 3 4 3 2 1 1 1 4 8 10 10 11 10 6 3 1 0 1 4 8 11 13 14 13 13 12 11 10 10 10 11 11 12 13 14 15 15 15 15 13 11 10 8 7 7 6 5 4 4 4 4 4 4 3 2 2 2 2 1 1 2 4 7 9 11 11 9 7 5 5 4 4 4 5 5 5 4 4 4 3 3 3 3 3 2 2 2 3 3 3 3 3 3 3 nan
nan 5 6 5 5 4 4 4 4 4 5 6 8 10 11 11 11 11 11 10 8 7 6 5 4 3 3 3 3 3 3 4 4 5 4 2 1 3 4 5 5 5 5 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 5 6 6 7 6 5 4 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 3 3 4 4 4 4 5 6 6 4 3 5 6 6 5 5 5 4 4 5 5 5 5 5 5 4 3 2 3 4 5 5 6 6 5 4 3 3 3 4 4 4 3 3 4 4 5 5 5 5 4 5 5 5 5 5 4 4 4 4 5 4 4 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 4 3 2 2 2 1 2 4 5 6 6 6 6 5 5 5 6 6 7 7 8 8 9 9 10 10 10 9 9 8 6 3 -1 -2 -0 0 -1 -2 -1 1 4 7 6 4 4 6 7 9 11 12 9 7 7 7 8 7 6 5 4 4 5 7 8 8 6 4 5 8 10 12 11 9 9 10 11 11 12 13 13 10 5 3 3 4 5 5 4 3 2 2 4 5 5 3 -1 -5 -6 -3 -1 -2 -5 -8 -8 -5 -1 2 2 1 -1 -3 -6 -9 -9 -5 2 8 12 14 14 13 10 8 7 6 5 5 5 5 5 6 6 6 6 6 5 5 5 6 7 7 6 5 5 5 5 6 6 7 7 6 4 4 5 5 6 7 8 11 14 16 16 13 8 6 8 15 20 18 12 8 9 9 8 6 6 6 6 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 4 1 -2 -2 3 4 -2 -8 -5 0 4 6 7 7 7 7 6 5 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 5 5 5 6 6 5 5 5 5 5 4 4 4 4 3 3 4 4 4 4 4 4 3 4 4 5 6 7 6 5 4 3 3 3 4 4 4 3 3 3 4 4 4 4 4 4 4 4 5 5 6 6 6 6 7 8 8 7 6 6 4 3 2 3 7 10 10 10 9 8 6 4 3 3 3 4 4 3 2 3 4 6 9 11 12 13 13 9 5 2 1 2 5 7 9 9 9 9 8 8 8 8 9 9 10 10 10 11 11 11 11 10 10 9 8 7 6 6 5 5 4 3 3 4 4 4 4 3 2 2 2 2 1 1 2 4 7 9 10 10 8 7 6 5 5 5 5 5 5 5 4 4 4 3 3 3 3 2 2 2 2 3 3 3 3 3 3 3 nan
nan 5 6 5 5 5 4 4 4 4 4 5 7 8 9 9 9 10 10 10 9 8 7 6 5 4 4 3 3 3 3 3 4 5 4 2 2 2 3 4 5 5 5 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 5 6 7 7 6 5 4 3 3 3 3 4 4 4 5 4 4 3 2 2 3 3 4 4 4 4 5 4 4 4 4 5 4 3 4 5 5 4 3 4 5 5 5 6 5 4 4 5 5 5 5 5 5 4 3 2 3 3 4 5 6 6 5 5 4 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 4 4 3 3 4 4 4 4 4 5 5 4 4 3 4 4 4 3 3 2 1 2 3 5 6 6 5 5 5 5 5 6 6 7 8 9 10 10 11 11 11 11 10 9 8 7 4 -3 -8 -7 -2 -0 0 0 2 4 5 5 4 4 5 7 8 9 9 7 6 7 7 6 3 3 3 2 2 3 6 8 8 7 7 8 8 8 9 10 11 12 13 13 13 13 12 10 7 4 3 3 3 3 3 4 3 3 2 3 3 4 3 1 -1 -2 -2 -2 -5 -8 -10 -7 -3 1 3 4 4 1 -3 -7 -8 -3 5 13 17 17 14 11 8 7 6 6 5 5 5 5 5 5 5 5 6 6 6 5 5 4 5 6 6 6 7 7 6 6 5 6 6 6 6 5 5 6 6 6 5 6 8 10 11 10 7 4 4 8 15 21 18 10 6 9 11 8 6 6 6 6 6 6 6 5 5 5 5 6 6 5 5 5 5 5 5 5 3 -0 -2 3 5 -1 -9 -9 -2 3 5 6 7 7 8 8 6 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 5 6 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 5 6 7 7 6 5 4 4 4 5 5 5 4 4 4 4 4 4 4 3 4 4 4 4 4 4 5 5 5 5 6 7 7 7 7 6 5 5 6 8 9 9 8 9 8 6 4 3 3 3 4 4 3 2 3 6 9 11 12 14 15 14 11 6 3 2 4 6 7 7 7 7 7 7 7 7 7 7 8 9 9 9 9 9 9 8 8 7 6 6 5 5 4 4 4 3 3 3 4 4 4 3 3 3 2 2 2 1 1 2 4 7 9 9 9 8 7 7 6 5 5 5 5 5 5 4 4 4 4 3 3 3 2 2 2 3 3 3 3 3 3 3 3 nan
nan 5 5 5 5 5 5 4 4 3 4 5 6 7 7 8 8 8 9 9 9 8 8 7 6 5 4 4 3 3 3 4 5 5 4 3 2 3 3 3 4 5 4 4 4 4 3 3 4 4 4 5 5 5 4 4 4 4 5 6 6 7 6 5 4 3 3 3 3 3 4 4 5 5 4 3 2 2 3 4 4 4 5 5 5 5 4 4 5 5 4 3 3 5 5 5 4 4 5 5 6 6 6 5 4 5 5 5 5 5 5 4 3 2 2 3 5 5 6 6 6 5 4 3 3 3 3 4 4 4 5 5 4 4 5 5 5 5 6 5 5 5 5 5 5 6 6 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 3 2 2 3 5 6 6 5 5 5 5 6 6 7 8 9 10 11 12 13 13 13 13 12 10 9 8 5 -5 -15 -13 -4 3 6 8 8 7 5 4 4 4 5 7 8 8 7 6 6 7 7 5 3 3 4 3 3 4 5 8 9 10 10 11 8 6 5 8 10 11 12 12 12 10 8 6 5 5 5 4 3 3 2 3 4 3 2 1 1 2 3 4 4 2 -1 -5 -9 -9 -7 -3 2 5 5 5 4 -1 -5 -6 0 10 19 24 24 20 14 9 6 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 6 6 7 7 6 6 6 6 6 6 5 5 5 6 5 5 4 5 6 6 5 3 3 5 9 15 21 18 8 4 8 10 7 6 6 6 6 6 7 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 2 -0 1 3 -1 -8 -10 -3 3 5 5 6 7 8 8 7 5 4 4 4 4 4 4 4 4 4 4 4 3 3 2 3 3 4 5 6 6 6 6 5 4 3 4 4 4 5 5 4 4 4 5 5 4 4 4 4 5 6 7 7 7 6 5 4 4 5 5 5 5 5 5 4 4 3 3 3 3 4 4 3 4 3 3 3 3 3 3 4 5 6 6 6 6 6 7 7 7 7 7 7 7 5 3 2 3 4 5 3 1 1 4 8 12 13 14 14 15 13 11 7 5 3 5 6 6 6 6 6 6 7 6 6 6 6 7 8 8 8 8 7 7 7 6 6 5 5 4 4 4 4 4 3 3 3 4 4 4 3 3 3 3 2 2 1 2 3 5 7 9 9 8 8 7 7 6 5 5 5 5 5 5 5 5 4 4 3 3 3 2 2 2 3 3 3 3 3 3 3 3 nan
nan 4 4 4 5 5 5 5 4 4 4 4 5 6 6 6 7 7 7 7 8 7 7 6 6 5 5 4 3 3 4 5 5 5 4 3 3 3 3 3 4 4 4 4 3 3 3 3 3 4 4 5 5 5 4 4 4 4 5 6 6 7 6 5 4 4 3 3 3 3 3 4 5 4 4 3 2 2 3 4 4 4 5 5 5 5 4 4 5 6 5 3 3 4 6 6 5 4 5 5 5 6 6 6 5 4 5 5 5 5 5 4 3 2 2 3 5 5 5 6 6 5 4 4 3 3 4 4 4 4 4 4 3 3 4 5 5 5 5 5 4 4 5 5 6 6 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 6 6 6 4 4 4 4 3 2 4 5 6 6 5 5 5 6 6 7 8 9 10 11 13 14 15 15 15 15 14 12 11 9 6 -2 -11 -12 -4 4 10 15 15 11 7 6 5 5 5 6 6 6 6 5 6 6 5 5 5 4 4 4 4 4 5 6 7 9 9 9 8 6 4 5 7 7 6 6 5 4 1 0 1 2 2 2 2 2 1 1 2 3 2 0 -1 1 4 7 7 3 -3 -7 -9 -7 -2 2 5 6 6 5 3 -1 -2 5 15 25 31 31 26 20 14 9 7 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 5 7 10 15 19 23 19 8 3 6 6 5 5 5 4 4 5 7 7 6 6 6 6 6 6 6 6 6 6 5 5 5 5 4 2 1 0 -4 -9 -9 -2 3 5 5 5 5 6 7 8 7 6 5 4 4 3 3 3 3 4 4 4 3 2 2 2 3 4 5 5 6 6 6 6 4 3 3 3 4 4 5 5 5 5 5 5 4 4 4 4 4 6 7 7 7 6 5 5 4 5 5 6 6 6 5 4 4 3 3 3 3 3 3 3 3 3 2 1 1 1 1 2 3 5 5 5 5 6 6 7 6 6 5 5 5 4 3 3 3 4 4 2 -0 2 6 10 13 13 12 12 12 11 11 10 7 5 6 6 5 4 4 5 6 6 6 5 5 6 6 6 6 6 6 5 5 6 6 5 4 4 4 4 3 4 4 3 3 3 3 4 3 3 3 3 3 2 2 2 2 3 5 7 8 9 8 8 7 6 6 5 5 5 5 5 5 5 5 5 5 4 3 3 3 2 2 2 2 2 3 3 3 3 3 nan
nan 3 3 4 4 5 5 5 5 5 4 4 4 5 5 5 5 6 7 7 7 6 6 6 6 5 4 4 4 4 5 5 5 4 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 4 5 5 5 4 4 4 4 5 6 6 6 6 5 5 4 3 3 3 3 3 4 4 4 3 3 2 3 4 4 4 4 4 5 5 4 3 4 5 6 5 3 3 4 6 6 6 5 4 5 5 5 6 6 5 5 5 5 6 6 5 4 3 2 2 3 4 5 5 5 5 5 5 4 3 3 4 4 4 4 4 3 3 3 4 5 6 5 3 3 3 3 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 5 4 4 4 3 3 4 5 6 6 5 5 6 7 7 8 9 10 11 12 14 16 17 18 19 19 18 16 14 11 8 4 -1 -3 1 7 13 18 19 15 11 9 7 6 5 5 5 5 6 6 5 3 3 3 5 5 4 5 5 5 5 4 4 5 5 4 5 7 6 6 6 4 2 1 1 -0 -2 -3 -4 -4 -4 -3 -1 1 0 -2 -1 2 3 1 -0 2 5 7 5 1 -5 -8 -6 -2 2 4 6 6 5 4 1 1 7 17 26 31 32 27 21 15 11 9 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 6 5 5 5 5 5 5 6 6 6 5 5 5 6 8 11 16 20 23 26 23 13 5 3 3 2 3 3 3 2 4 6 6 5 5 5 6 6 6 5 6 7 6 5 5 6 6 5 5 3 -1 -8 -11 -7 -1 3 4 4 4 4 5 6 7 8 8 7 6 5 4 4 4 3 3 4 4 3 3 3 3 3 3 4 5 5 6 6 5 5 4 3 3 4 4 5 5 5 5 5 5 5 5 4 4 4 5 7 7 7 6 5 4 4 4 5 5 5 5 5 4 4 4 4 3 3 3 3 3 3 3 2 1 1 1 1 1 2 4 5 5 5 5 6 7 6 6 5 5 5 4 3 3 3 2 2 1 1 4 8 11 11 10 9 9 9 11 13 12 10 8 7 5 4 3 3 4 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 4 3 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 3 5 7 8 9 8 7 7 6 6 6 5 5 5 5 6 6 6 5 5 5 4 3 3 3 3 2 2 2 3 3 3 3 3 nan
nan 3 3 3 4 4 5 5 5 5 4 4 3 3 4 4 4 5 6 6 6 6 6 6 6 5 5 4 4 5 5 5 5 4 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 5 4 4 4 3 4 4 5 6 6 5 5 5 4 3 3 3 3 4 5 5 4 3 2 2 3 4 5 5 4 4 4 5 4 3 4 5 5 5 4 4 4 5 6 7 5 4 4 5 5 5 6 5 5 5 6 6 6 5 4 3 3 2 3 4 5 5 5 5 5 5 4 3 3 4 4 4 4 4 4 4 4 5 5 5 4 3 3 3 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 5 5 5 5 4 4 5 6 6 6 5 4 4 4 3 4 5 6 6 5 5 6 7 8 8 9 10 12 14 16 17 19 21 22 23 23 21 18 16 13 10 7 5 7 12 17 19 19 18 15 12 9 7 5 5 5 5 6 7 6 4 3 4 6 8 9 9 8 8 8 8 7 7 5 3 3 5 6 5 4 2 1 1 3 3 2 -1 -4 -6 -6 -5 -2 2 3 0 -1 0 1 1 2 4 6 5 3 -1 -5 -5 -2 1 3 5 6 6 4 2 -1 2 13 22 26 26 22 17 12 9 8 7 6 6 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 5 5 6 7 9 10 14 18 23 28 29 22 10 4 3 2 1 2 3 3 3 3 4 3 3 4 5 6 6 5 6 7 6 5 6 7 6 6 6 5 0 -8 -11 -7 -1 2 3 4 4 4 4 5 6 7 8 8 8 6 6 5 5 4 3 3 3 3 3 3 3 3 3 4 5 5 5 5 5 5 4 3 3 4 4 5 5 5 5 5 5 5 5 5 4 4 5 6 7 7 6 5 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 3 3 2 3 3 3 4 5 5 5 5 6 6 6 6 5 6 6 5 4 3 2 1 1 2 4 6 8 9 9 8 7 6 7 10 13 13 11 9 6 4 3 2 3 4 5 5 5 4 4 4 4 4 4 3 3 3 3 4 5 4 3 2 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 3 5 7 8 9 8 7 7 6 6 6 6 6 5 6 6 6 6 6 5 5 4 4 3 3 3 2 2 2 3 3 3 3 3 nan
nan 2 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 4 5 6 6 6 6 6 6 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 4 3 3 3 3 2 2 2 3 4 4 4 4 3 3 3 4 4 5 5 5 5 4 4 3 3 3 4 5 5 5 4 3 2 2 3 4 5 5 4 4 4 5 4 4 4 5 5 5 4 4 4 5 6 6 6 4 4 5 5 5 5 5 5 5 6 6 6 6 4 3 3 3 4 4 5 5 5 4 4 4 4 3 3 3 4 4 3 4 4 4 4 4 5 5 4 4 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 4 4 4 4 4 5 6 5 4 4 6 7 8 9 10 11 13 15 17 18 20 22 24 26 27 25 23 20 17 14 11 10 12 16 18 18 18 18 16 11 8 5 4 4 4 4 5 7 7 6 5 7 9 11 13 12 12 12 12 13 12 9 7 4 1 -0 0 1 0 0 1 4 7 8 8 4 1 -1 -1 -1 1 4 6 3 0 -1 -1 1 4 7 7 5 2 -0 -2 -0 2 3 4 6 7 6 4 -1 -4 3 13 18 18 15 11 8 6 6 5 5 5 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 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 10 14 23 31 29 19 9 5 4 3 5 7 6 4 3 3 3 2 2 3 5 5 4 5 5 4 4 7 9 8 6 6 6 3 -5 -11 -8 -1 3 3 3 3 3 4 4 4 6 7 8 8 8 8 8 7 6 5 3 2 3 3 3 3 3 3 3 5 6 6 6 5 5 4 3 3 3 4 5 5 5 5 5 5 5 5 5 4 4 4 5 6 7 6 5 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 5 5 5 5 6 5 5 6 6 5 5 5 5 5 4 4 3 3 3 4 6 8 8 8 7 7 7 6 6 7 10 12 12 10 7 4 2 1 2 2 3 4 4 4 4 3 3 3 3 3 3 2 2 3 5 6 5 3 2 3 5 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 5 7 8 8 8 7 6 6 6 6 6 5 5 5 5 6 5 5 5 5 4 4 4 3 3 2 2 2 3 3 3 3 3 nan
nan 2 2 2 2 2 3 3 4 4 4 4 3 3 2 2 3 3 4 4 5 6 7 7 6 6 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 4 3 3 3 3 2 2 2 3 3 3 4 4 3 3 3 3 4 4 5 5 4 4 4 3 3 3 4 5 6 6 5 3 2 2 3 4 5 5 4 4 4 5 5 4 4 4 5 5 5 4 4 5 5 6 6 5 4 5 5 6 5 5 4 4 5 6 6 5 4 3 3 3 4 5 5 5 5 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 7 7 6 6 6 6 5 5 4 4 4 5 5 5 4 5 5 6 8 9 10 11 12 14 15 17 18 19 21 23 26 27 27 24 22 19 17 17 17 19 18 16 14 15 14 10 5 2 2 1 0 1 2 4 6 7 7 8 9 8 8 8 10 13 13 12 10 7 5 3 1 -2 -4 -3 -2 -1 -1 2 5 8 10 10 7 4 4 4 4 5 6 6 5 2 0 -0 3 8 11 8 5 2 2 2 3 5 6 7 8 7 6 2 -4 -3 4 9 11 10 8 6 5 5 5 4 4 5 5 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 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 3 3 4 6 13 24 29 26 20 14 9 8 11 13 11 7 5 5 5 3 1 2 3 3 3 4 4 2 3 8 11 10 7 6 6 4 -3 -10 -7 -1 3 3 3 3 3 3 3 4 4 5 6 6 7 8 10 11 11 9 6 3 2 3 3 2 2 2 3 4 6 7 7 7 5 3 2 2 3 4 5 5 5 5 5 5 5 5 5 5 4 4 4 5 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 7 7 7 6 5 6 7 6 6 6 6 6 6 5 5 5 5 4 3 3 3 4 5 7 9 11 12 10 9 7 6 7 8 7 7 9 11 12 10 6 3 1 0 0 1 2 3 4 4 4 3 3 2 3 2 2 2 2 2 4 7 8 7 4 2 2 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 5 6 8 8 6 5 5 5 5 5 4 4 3 4 4 4 5 5 5 4 4 4 4 3 3 2 2 2 3 3 3 3 3 nan
nan 1 2 2 2 2 1 2 2 3 3 4 3 3 2 3 2 2 3 3 4 6 6 7 6 6 6 6 6 6 6 6 5 4 4 4 5 5 5 5 5 4 4 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 4 4 5 4 4 3 3 3 3 4 6 7 6 5 3 2 2 3 4 5 5 4 4 4 4 5 4 3 4 5 6 5 4 4 5 5 5 5 5 4 4 5 5 5 5 4 3 4 5 5 5 4 3 3 4 4 5 5 5 5 4 4 4 3 3 3 3 4 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 6 6 6 7 8 8 7 7 7 6 5 5 5 4 5 5 5 4 3 5 6 7 8 9 10 11 13 15 16 17 16 16 17 20 22 24 24 22 21 19 19 20 21 19 15 11 9 9 7 3 1 0 -0 -1 -2 -1 1 3 4 4 6 7 7 4 2 3 7 10 10 8 5 2 1 -1 -2 -3 -2 -1 0 1 1 2 5 7 8 8 6 4 4 4 4 5 5 6 6 6 4 3 6 10 11 7 2 1 2 3 5 7 8 9 8 6 3 -2 -5 -1 4 6 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 6 5 5 5 5 5 5 5 6 7 12 18 22 24 22 17 15 17 18 15 12 10 9 9 7 4 2 2 2 2 3 4 1 2 8 12 10 7 6 6 4 -3 -8 -5 1 3 4 3 3 3 3 3 3 4 4 4 5 5 7 9 13 16 16 11 5 3 3 3 3 2 2 3 4 5 7 9 8 6 4 2 2 3 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 4 4 4 3 4 4 4 4 4 4 4 4 5 6 7 7 7 7 7 7 6 6 7 7 7 6 6 6 6 6 5 4 4 4 4 2 1 2 4 7 11 15 16 15 11 8 6 6 7 9 9 9 10 11 11 8 3 0 1 2 1 1 2 4 4 4 4 3 3 2 2 2 2 2 2 3 5 8 10 8 4 1 2 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 5 6 7 6 5 4 3 3 3 2 2 2 2 2 2 3 4 4 4 4 4 4 4 3 3 3 2 2 3 3 3 3 3 nan
nan 1 2 3 3 2 1 1 2 3 3 3 3 3 3 3 3 3 2 2 3 4 5 6 6 6 6 6 7 7 7 6 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 3 4 4 4 4 3 3 3 3 4 5 6 6 5 3 2 2 3 4 5 5 4 4 3 4 5 4 3 4 5 6 5 4 4 5 5 6 6 5 4 4 5 5 5 5 4 3 3 5 5 5 4 3 4 4 5 5 5 5 5 5 4 4 3 3 3 3 3 5 5 5 4 4 3 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 6 6 7 7 7 8 8 8 8 7 6 6 5 5 5 5 6 5 3 2 4 5 6 7 9 11 12 13 16 17 17 14 12 13 14 16 17 18 17 16 16 16 16 14 11 6 4 4 4 3 2 3 3 2 1 1 2 3 5 3 1 2 4 5 2 1 3 6 7 7 5 4 3 2 1 0 1 2 2 2 3 2 1 2 3 5 4 4 4 4 3 1 2 4 5 7 8 7 6 5 6 4 2 0 1 3 5 7 9 9 8 5 2 -2 -6 -4 2 5 5 5 5 5 5 5 5 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 5 5 5 5 5 5 6 6 5 5 6 7 8 8 8 7 6 8 12 16 18 18 17 17 17 15 14 13 12 13 13 10 5 3 2 3 6 6 3 3 8 9 7 6 6 5 2 -4 -7 -3 1 3 4 4 3 3 3 3 3 3 3 4 4 4 5 7 13 19 20 16 8 4 3 3 3 3 3 3 4 6 8 10 10 7 4 2 1 2 4 5 5 5 5 6 5 5 6 6 5 5 5 5 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 6 7 7 6 6 7 6 6 6 6 7 6 7 7 7 6 5 5 4 4 4 4 2 1 2 5 9 13 17 17 14 10 7 6 7 8 10 11 10 9 9 9 7 3 1 3 5 4 3 5 6 5 3 3 3 3 3 3 2 2 2 2 3 5 8 10 8 4 1 2 4 4 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 5 6 6 5 4 3 2 2 1 1 1 1 1 2 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 nan
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nan 10 10 10 9 8 9 9 10 10 10 11 10 10 9 10 11 12 14 15 16 17 18 18 17 15 13 11 10 9 9 10 11 11 11 11 10 8 7 6 7 8 11 13 15 16 17 17 16 16 15 14 14 14 14 14 15 15 16 16 16 16 15 15 14 14 14 13 13 12 12 11 11 11 11 11 11 11 12 12 12 12 12 13 13 13 13 13 13 13 14 14 13 13 13 12 12 11 11 11 10 11 11 11 12 12 13 13 14 14 14 15 14 14 14 14 14 14 14 15 15 15 15 14 14 14 14 14 14 13 14 14 14 14 15 15 15 15 15 15 16 17 18 19 21 21 20 19 18 16 15 15 15 14 14 15 15 15 15 14 13 13 13 14 14 15 15 15 15 15 15 15 14 14 13 13 13 12 12 12 12 12 12 12 12 11 11 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 13 13 14 14 14 14 14 14 14 15 17 21 23 22 19 14 7 3 5 7 11 14 14 14 13 13 13 13 13 12 13 13 13 13 12 12 12 12 13 13 13 13 13 14 15 16 16 17 15 12 11 10 9 11 13 15 16 17 15 13 10 8 7 8 10 12 13 14 15 14 13 12 11 11 11 10 9 9 8 9 11 12 12 12 12 13 14 15 16 16 16 15 14 13 13 12 11 10 10 10 10 10 11 11 11 12 14 16 16 16 14 13 13 13 13 13 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 14 14 13 12 11 9 8 8 7 6 6 6 7 8 9 10 11 11 11 10 9 8 8 9 11 13 15 15 15 14 13 11 10 9 9 9 9 10 11 12 13 13 13 13 11 11 10 9 9 9 9 10 10 12 13 14 14 14 12 10 10 10 10 10 11 11 11 11 11 12 12 13 13 14 15 16 17 18 19 20 20 20 19 20 21 23 29 35 38 40 40 38 34 29 25 21 17 15 14 13 12 12 11 10 7 3 -0 -1 1 5 8 11 11 11 11 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 10 11 12 12 12 11 10 8 7 8 9 10 11 12 12 12 11 11 11 11 12 12 12 11 11 11 11 11 10 9 9 8 8 8 9 9 10 10 10 9 nan
nan 11 11 11 11 10 10 10 10 10 10 10 10 9 8 7 7 7 8 10 12 14 15 15 15 12 10 9 7 6 6 6 7 7 8 8 8 8 7 7 8 9 11 13 15 16 16 16 15 15 14 14 14 14 15 15 15 15 16 16 16 16 15 14 14 14 13 13 13 13 13 12 12 12 11 11 11 11 12 12 12 12 12 13 13 13 13 13 14 15 16 16 16 16 15 13 13 12 12 12 11 11 11 11 12 12 13 13 13 14 14 15 15 15 15 15 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 15 15 15 15 15 15 15 17 18 20 21 22 23 22 21 19 17 15 13 13 12 12 12 13 13 13 13 12 12 12 12 13 13 14 14 14 14 14 14 14 14 13 13 13 12 12 12 12 12 12 12 12 12 11 11 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 13 12 12 12 12 12 13 13 13 14 14 14 14 14 14 14 14 15 18 20 22 20 15 8 2 2 3 8 12 13 14 14 13 13 13 13 13 12 12 13 13 13 12 12 12 13 13 14 14 14 14 14 16 17 18 16 13 11 9 9 12 15 16 16 15 12 10 9 10 11 11 11 12 12 12 12 12 11 11 11 11 11 10 9 9 9 10 11 11 10 10 10 12 14 16 17 17 15 14 13 12 12 12 11 11 11 11 11 12 12 12 12 12 13 14 15 15 14 13 13 12 12 12 12 11 11 11 11 12 12 13 14 15 15 14 14 13 13 13 12 12 11 12 12 12 12 11 11 10 9 8 7 6 6 7 8 9 10 11 11 11 10 9 9 8 9 10 12 14 15 15 15 13 12 10 9 8 9 9 10 11 12 12 13 13 13 12 11 10 10 9 9 10 10 10 11 13 13 13 13 12 10 9 9 10 10 11 12 12 12 11 11 12 12 13 14 14 16 16 18 19 19 20 19 19 18 18 19 21 27 33 36 39 41 39 36 32 28 22 18 16 15 13 13 12 11 10 6 1 -0 -1 1 5 9 10 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 12 12 12 11 10 9 9 9 10 10 11 11 11 10 10 10 10 11 11 12 12 12 11 11 11 11 10 10 9 9 8 8 9 9 9 9 9 9 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
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77 69 69 69 67 63 53 38 28 34 55 64 64 63 74 87 98 103 100 95 103 110 114 111 105 108 114 115 108 98 90 80 97 99 100 97 93 81 72 73 69 65 65 67 60 50 43 43 43 41 36 26 17 18 26 36 32 29 24 16 17 26 28 18 12 9 8 7 7 7 8 8 8 7 7 5 5 7 9 10 12 13 12 12 14 16 15 13 13 12 11 8 6 7 9 8 5 3 4 7 9 8 7 6 3 2 4 7 8 9 9 9 8 7 7 7 7 7 7 7 7 7 7 6 5 5 5 5 5 5 4 4 3 4 3 4 4 4 5 4 4 2 1 0 0 0 0 0 110 361 646 944 1132 1105 848 473 162 55 133 400 863 1289 1347 1051 564 179 23 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 3 0 0 0 0 0 1 3 6 8 8 6 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 16 25 30 32 34 36 39 42 45 50 55 61 67 72 75 78 79 79 78 76 73 71 70 68 70 71 70 69 67 66 67 68 67 67 68 70 70 71 73 74 73 71 70 71 70 69 69 71 72 74 75 73 74 74 78 82 85 88 90 91 91 89 87 85 80 73 68 68 67 66 66 66 64 61 59 55 50 46 45 47 52 57 57 54 49 43 39 37 37 36 34 33 33 34 36 35 34 32 32 32 31 32 32 31 30 30 30 30 29 29 30 31 32 35 38 43 45 45 43 42 46 53 58 59 57 52 40 38 33 38 36 27 14 5 11 57 194 475 921 1465 1750 1408 731 382 432 743 941 1151 1271 1299 1321 1316 1257 1244 1494 1510 1213 1057 1285 1956 2530 2512 2134 1897 1661 1398 1423 1487 1492 1390 1402 1510 1690 1807 1890 2052 2349 2705 3045 3322 3248 2669 2330 2586 2771 2790 2986 3616 3684 3224 2626 2187 2019 2148 2688 3254 3684 3873 3786 3602 3419 3498 3615 3515 3282 2976 2614 2241 1923 2172 2114 1935 1734 1474 1354 1310 1325 1376 1425 1493 1569 1574 1561 1557 1544 1612 1908 2523 2856 2943 2996 3010 2898 2759 3045 2958 2868 2802 2747 2601 2418 2332 2340 2420 2547 2586 2397 2268 2018 1665 1599 1685 1720 1712 1663 1643 1807 2236 2718 3002 3215 3181 2965 3318 3589 3411 3093 2827 2380 1906 1494 1030 669 610 651 681 629 513 462 497 560 600 553 471 399
63 59 62 66 67 66 57 40 30 39 55 54 54 53 63 78 90 99 99 98 105 105 100 93 101 111 113 110 106 99 89 82 92 95 101 98 93 76 67 65 63 61 61 61 57 47 39 37 35 32 29 22 17 20 28 35 35 31 30 15 13 21 23 18 14 11 7 5 6 7 8 8 8 7 6 5 6 8 9 9 8 9 10 10 13 15 14 13 12 10 9 7 5 6 9 7 5 3 4 6 7 6 6 5 3 3 4 7 9 10 10 10 9 9 9 8 7 7 7 7 7 7 7 5 5 5 5 5 5 4 4 4 3 4 4 3 3 4 4 3 4 3 1 0 0 0 0 3 117 380 666 1069 1200 1026 669 296 83 102 323 727 1196 1521 1430 1068 638 291 99 34 38 32 10 0 0 0 0 0 0 0 0 0 0 0 0 2 14 28 21 1 0 0 0 0 1 4 7 8 6 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 1 6 14 21 27 31 33 34 36 39 43 47 50 56 62 68 72 75 75 75 78 75 71 67 62 61 63 67 68 69 68 67 67 67 67 67 67 67 67 68 70 72 72 70 69 69 69 69 71 74 77 78 79 77 77 78 82 86 88 89 90 91 91 90 88 85 80 73 70 69 68 67 67 67 66 65 64 61 57 53 52 55 64 69 66 58 54 48 43 40 38 37 35 33 32 32 35 37 34 33 33 33 33 33 33 32 30 29 29 29 29 29 29 29 30 31 32 35 38 41 42 39 37 38 42 46 49 49 44 40 34 29 25 26 18 7 3 5 30 128 389 900 1523 1305 696 315 327 613 871 1032 1153 1265 1329 1371 1385 1220 1416 1576 1492 1293 1285 1736 2406 2568 2217 1893 1615 1388 1430 1539 1677 1757 1616 1625 1660 1695 1765 1943 2290 2633 2703 2680 2707 2434 2225 2845 3364 3356 3011 3164 3475 3423 3033 2610 2260 2014 2467 3000 3421 3722 3837 3782 3592 3501 3558 3605 3524 3269 2814 2405 2141 2200 2197 2063 1854 1582 1418 1363 1346 1396 1428 1441 1543 1595 1574 1532 1497 1498 1686 2121 2547 2798 2936 2984 2869 2822 2955 2912 2840 2838 2845 2784 2649 2501 2427 2494 2636 2615 2506 2389 2192 1941 1849 1773 1643 1540 1495 1489 1791 2353 2753 2779 2792 2743 2952 3287 3482 3439 3099 2800 2411 1941 1590 1124 768 645 648 669 657 597 541 518 545 556 539 487 428
46 55 62 68 76 79 70 51 37 41 52 52 49 52 58 71 73 88 91 89 89 95 99 95 97 105 108 104 97 90 81 75 79 93 104 96 94 80 65 63 61 59 58 58 53 45 39 35 33 33 32 27 21 24 33 36 32 27 24 21 10 15 19 16 15 11 6 5 6 6 7 8 9 7 6 5 6 9 11 10 8 8 8 10 13 15 15 14 12 10 8 5 4 5 8 8 6 3 3 5 5 6 6 5 4 4 5 7 9 10 9 9 9 9 9 8 7 7 7 7 7 7 7 5 5 5 5 5 4 4 4 3 2 3 4 2 2 4 3 4 4 2 1 0 0 0 0 17 133 383 802 1137 1150 912 523 185 63 220 632 1158 1614 1833 1709 1375 1027 711 440 209 57 7 2 0 0 0 0 0 0 0 0 0 0 0 0 1 19 49 45 5 0 0 0 0 2 6 7 6 3 2 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 10 17 21 26 29 31 33 34 37 42 46 52 57 63 69 74 73 71 77 75 71 64 59 56 56 59 61 62 63 64 64 64 64 64 64 63 63 64 64 62 64 65 66 67 69 71 74 75 78 78 79 78 78 79 81 83 85 86 85 86 87 87 87 87 84 79 73 69 68 68 68 68 67 66 66 65 63 61 61 66 76 76 73 66 59 52 46 42 39 37 34 32 31 32 36 38 33 32 31 32 32 33 34 34 33 32 30 28 28 28 28 29 29 29 30 31 33 35 37 37 34 32 31 33 36 39 40 39 34 25 15 11 9 7 5 4 3 14 94 399 1085 962 576 287 266 510 839 1034 1103 1254 1306 1299 1391 1321 1319 1517 1723 1598 1282 1344 1906 2353 2292 1983 1636 1395 1393 1471 1661 1809 1811 1756 1714 1758 1809 1880 2189 2596 2765 2762 2776 2696 2593 3197 3559 3314 2746 2524 2915 3385 3302 2966 2478 2048 2238 2717 3142 3526 3768 3819 3709 3554 3472 3502 3574 3466 3084 2775 2588 2510 2522 2343 2038 1773 1582 1444 1345 1403 1417 1408 1478 1532 1536 1499 1432 1390 1467 1698 2056 2452 2733 2855 2790 2788 2809 2843 2843 2850 2854 2776 2603 2431 2400 2479 2553 2516 2457 2403 2312 2158 1989 1784 1533 1356 1322 1372 1753 2329 2627 2568 2503 2549 2756 3022 3239 3300 2989 2709 2381 1993 1613 1200 872 730 705 692 712 716 667 586 599 690 724 607 503
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37 36 38 49 67 82 86 70 45 29 33 43 50 50 56 65 69 79 85 79 82 86 87 97 95 86 86 88 87 84 78 74 76 79 84 87 83 73 62 61 61 55 50 47 45 45 45 43 42 41 38 33 28 28 32 33 26 18 16 16 14 14 14 11 12 9 6 6 6 5 5 6 6 7 6 6 5 8 10 10 8 7 9 12 13 14 13 11 9 7 5 4 3 5 8 8 5 4 4 5 5 8 8 7 6 5 5 7 8 8 9 9 9 8 8 7 7 7 7 7 7 7 6 5 5 5 4 4 4 3 2 2 1 1 1 0 0 2 4 4 2 1 0 0 0 0 8 62 265 660 1083 1258 1105 727 293 51 24 140 349 572 723 777 749 633 400 192 60 9 1 0 0 0 0 0 0 0 0 0 0 3 22 65 60 15 7 27 25 6 0 0 0 0 2 7 8 9 8 6 6 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 0 0 0 0 0 0 0 0 0 0 0 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 6 12 17 18 19 19 24 27 29 32 34 39 45 52 59 63 64 65 67 68 68 67 62 57 54 51 49 49 49 50 50 50 51 51 50 51 51 50 50 51 53 56 58 59 61 62 65 68 71 73 73 75 75 76 77 78 78 80 82 82 83 84 86 86 83 79 74 71 70 71 72 73 73 71 67 67 67 70 74 78 80 79 77 74 70 65 57 52 47 43 41 39 37 35 35 38 35 30 27 25 27 30 32 34 36 36 37 35 33 30 29 28 28 29 29 30 30 30 31 31 31 29 25 23 21 20 22 24 24 20 14 9 6 5 4 2 2 2 68 317 496 475 343 247 257 439 818 1156 1109 1066 1109 1207 1254 1370 1450 1624 1829 1876 1652 1317 1339 1937 2686 2553 2036 1681 1513 1461 1501 1634 1841 1957 1959 2088 2096 1852 1653 1964 2492 2449 2790 3172 3410 3479 3281 2830 2312 2006 2274 2914 3212 3078 2727 2286 2018 2083 2417 2886 3332 3615 3702 3630 3422 3320 3420 3556 3527 3450 3359 3227 3091 2930 2729 2346 1945 1758 1524 1430 1453 1405 1359 1373 1381 1346 1282 1233 1214 1263 1440 1809 2206 2445 2501 2494 2492 2530 2646 2754 2679 2429 2090 1932 1912 1950 1989 2029 2108 2113 2053 2055 2074 1900 1611 1433 1489 1581 1712 2009 2311 2365 2336 2452 2562 2764 2906 2905 2765 2508 2138 1739 1363 1093 965 954 939 958 1112 1278 1292 1243 1221 1179 989 881 798
44 37 32 37 48 68 78 72 54 35 30 41 51 53 55 60 71 78 72 62 54 61 89 96 96 87 82 80 80 78 74 71 76 85 83 85 82 73 64 60 57 50 41 38 37 45 43 42 40 35 30 26 22 21 27 29 21 15 16 18 16 13 12 10 8 8 6 7 7 6 5 6 7 7 6 5 5 7 9 9 7 7 8 10 10 11 11 9 8 7 5 4 3 4 7 7 6 4 5 6 7 9 9 8 7 6 6 7 8 9 9 9 9 9 8 7 7 7 7 7 7 6 5 5 5 5 4 4 4 3 2 2 1 1 0 0 0 1 3 3 1 0 0 0 0 1 18 84 342 820 1208 1247 1017 605 197 18 4 23 48 98 140 155 145 113 53 15 3 0 0 0 0 0 0 0 0 0 0 0 2 16 53 50 26 5 2 13 17 9 2 0 0 0 0 2 8 11 10 6 7 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 0 0 0 0 0 0 0 0 0 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 7 10 13 16 18 18 21 23 25 28 33 37 41 45 50 54 56 55 57 57 60 64 66 61 56 49 46 46 46 46 47 48 48 48 47 47 46 46 48 49 51 52 54 57 59 61 64 67 69 70 71 73 74 75 75 74 75 79 81 82 81 82 83 82 81 79 75 72 73 76 80 81 80 77 73 71 72 76 80 80 81 81 79 76 73 70 64 58 54 51 47 44 42 39 39 40 38 34 30 26 27 29 32 33 34 35 36 37 35 34 33 32 31 30 30 31 31 31 31 32 30 28 25 23 19 17 17 17 16 15 11 6 4 2 2 1 0 4 68 221 375 423 350 269 299 491 855 1133 1036 878 876 1150 1282 1400 1565 1733 1841 1836 1738 1612 1609 2417 3053 2828 2385 2040 1714 1501 1526 1733 1959 2005 1931 2117 2380 1804 1434 1562 2027 2465 2937 3312 3470 3413 3070 2618 2226 1975 2177 2757 3144 3073 2826 2466 2117 1992 2138 2495 2965 3384 3545 3501 3371 3293 3303 3456 3553 3542 3497 3379 3196 3047 3103 2715 2255 1891 1635 1478 1477 1469 1389 1362 1355 1310 1242 1242 1244 1273 1386 1624 1976 2225 2269 2292 2347 2391 2483 2590 2467 2169 1866 1755 1684 1642 1722 1863 1992 2002 1912 1964 2050 2087 1944 1777 1764 1764 1786 2000 2328 2405 2494 2662 2707 2650 2680 2706 2635 2387 1957 1597 1255 1063 1028 1011 1062 1175 1369 1559 1653 1676 1665 1643 1427 1177 1000
44 38 31 38 42 60 73 75 62 45 36 38 47 53 54 57 67 70 69 62 56 66 84 66 88 80 85 80 73 68 62 59 63 76 82 84 78 70 60 54 48 40 31 26 30 37 32 33 32 24 20 17 15 16 21 26 21 15 19 23 23 16 12 10 7 6 6 7 8 6 6 7 8 7 6 6 5 7 8 9 7 6 6 5 6 8 9 8 7 6 5 4 3 4 6 7 6 5 6 6 6 8 8 9 9 7 6 7 8 9 9 9 9 9 9 7 7 7 7 7 7 6 5 5 5 5 4 4 3 3 2 1 0 0 0 0 0 1 2 1 0 0 0 0 0 7 40 179 500 918 1182 1135 872 509 155 0 0 0 0 5 8 7 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 11 30 11 3 0 1 10 26 18 5 0 0 0 0 1 8 12 9 4 4 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 9 12 15 16 16 17 19 21 26 32 35 38 42 45 50 51 50 52 51 54 57 60 60 57 49 47 48 47 46 46 47 48 48 47 47 47 48 49 50 51 52 54 56 58 60 62 64 64 66 66 68 72 74 72 70 71 75 78 80 80 79 80 81 83 78 75 72 74 77 81 83 82 80 78 77 79 84 88 85 84 83 81 77 73 71 68 65 60 57 55 52 48 45 42 42 41 38 33 30 29 30 31 31 31 33 34 33 36 37 37 36 35 33 32 32 32 32 32 31 31 28 26 23 19 17 16 15 13 11 8 3 0 1 1 1 1 8 40 149 318 419 382 309 326 486 744 885 877 766 728 959 1226 1433 1596 1744 1834 1716 1624 1625 1863 2305 2645 2825 2693 2429 1942 1523 1505 1689 1876 2097 2153 2156 2375 1914 1526 1489 1794 2330 2942 3370 3459 3404 2949 2362 2039 1923 2077 2694 3139 3098 2850 2561 2247 2006 1969 2137 2489 2970 3289 3335 3263 3213 3206 3321 3475 3532 3569 3561 3386 3287 3342 3067 2610 2117 1755 1542 1494 1519 1453 1405 1446 1353 1264 1264 1277 1276 1299 1463 1793 2066 2062 1997 2194 2228 2294 2296 2043 1712 1611 1717 1720 1602 1590 1678 1885 1932 1888 1926 2053 2221 2115 1912 1844 1793 1763 1945 2206 2382 2690 2981 2893 2611 2462 2450 2458 2356 1872 1595 1343 1190 1097 1048 1090 1213 1400 1615 1872 2007 2117 2117 1896 1583 1410
34 34 30 31 39 59 75 82 74 61 50 46 48 52 57 60 66 70 77 74 73 75 70 62 74 72 95 86 74 59 49 47 53 63 73 76 73 68 61 52 39 28 22 22 26 28 25 28 27 18 17 11 8 11 19 27 28 21 21 29 32 21 15 11 9 6 7 7 7 7 6 6 7 6 5 6 5 5 8 9 8 6 5 6 7 7 8 7 6 6 5 4 3 3 6 8 6 5 5 5 5 7 8 9 9 8 6 7 9 9 9 9 9 9 8 7 7 7 7 7 7 5 5 5 4 4 3 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 15 84 281 616 941 1080 987 752 443 121 1 3 6 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 1 0 0 0 29 50 28 9 4 1 0 0 1 6 10 9 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 7 9 11 13 14 14 16 18 21 27 32 36 41 45 47 48 48 50 51 52 50 50 55 57 54 51 49 48 47 48 49 50 50 50 51 52 53 53 54 53 54 58 59 58 60 61 62 62 63 63 63 65 68 67 65 67 71 74 77 78 77 78 79 82 78 74 72 73 76 80 83 83 81 80 83 86 89 92 93 90 86 82 78 75 71 69 67 65 63 59 57 53 51 48 46 44 40 37 35 32 30 27 26 29 31 32 33 35 36 37 38 39 38 36 34 33 32 32 31 30 28 25 22 18 16 16 15 13 10 6 2 0 0 0 0 2 12 37 133 294 408 400 326 314 444 589 654 805 798 756 868 1112 1385 1595 1784 1959 1655 1438 1772 2133 2200 2187 2516 2683 2520 2133 1737 1629 1794 2159 2382 2322 2155 2330 2154 1769 1569 1717 2159 2786 3357 3436 3317 2885 2289 1960 1850 1943 2520 3060 3156 2913 2555 2215 1930 1831 1878 2076 2471 2955 3147 3125 3105 3126 3193 3289 3398 3481 3589 3594 3599 3553 3355 2938 2382 1903 1626 1535 1569 1508 1421 1467 1403 1317 1278 1274 1261 1265 1409 1723 1999 2007 1758 1973 2093 2210 2183 1844 1459 1596 1952 1956 1770 1611 1642 1817 1925 1943 1994 2094 2092 1931 1785 1722 1518 1508 1746 1979 2265 2639 3017 3067 2702 2370 2341 2295 2238 1933 1690 1454 1245 1107 1081 1140 1266 1436 1599 1979 2363 2574 2559 2361 2118 2003
41 39 33 32 40 56 76 83 83 81 71 60 54 52 52 58 69 75 77 69 67 68 76 71 73 83 92 92 96 73 53 48 52 59 65 68 66 63 61 52 37 25 20 21 24 28 30 30 25 20 18 11 11 12 19 30 32 26 23 32 37 27 21 15 10 10 12 10 8 7 6 5 7 6 5 6 5 5 7 8 8 7 5 5 7 7 7 6 6 5 5 4 3 4 6 8 7 5 4 4 5 7 9 11 11 9 6 7 9 9 9 9 9 8 7 7 7 7 7 7 7 5 5 4 3 3 3 3 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 4 37 165 429 760 998 1012 868 653 356 79 2 7 11 4 4 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 5 4 5 15 25 29 32 36 70 65 34 17 10 4 1 0 2 5 6 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 8 9 9 11 10 12 15 18 21 24 29 36 41 45 47 48 50 54 54 50 47 48 51 52 52 53 52 50 49 50 51 52 52 53 53 53 53 56 57 57 58 59 59 61 61 61 60 61 61 59 61 61 61 63 66 70 74 76 76 75 76 78 78 76 74 72 71 72 74 77 79 79 80 84 88 91 93 97 94 90 87 83 78 74 72 69 68 68 63 61 58 56 54 52 48 46 43 40 37 33 27 25 25 28 29 31 33 35 36 38 40 41 40 38 36 34 32 30 28 26 24 20 18 16 15 14 12 9 4 0 0 0 0 0 3 14 41 122 273 402 411 347 308 410 492 582 765 836 830 909 1109 1330 1488 1660 1923 1653 1380 1515 1956 2220 2025 2078 2359 2359 2188 2046 1948 1886 1784 2098 2077 2065 2348 2372 2016 1664 1639 1963 2542 3252 3370 3045 2860 2416 1996 1811 1926 2392 2998 3272 3028 2640 2245 1931 1772 1733 1825 2069 2529 2907 3005 3013 3023 3082 3077 3212 3350 3531 3674 3734 3685 3509 3136 2573 2083 1768 1634 1826 1725 1608 1560 1497 1404 1327 1284 1265 1282 1375 1572 1899 1907 1788 1887 2115 2345 2407 2228 2126 2311 2351 2162 1936 1801 1839 1988 2089 2072 2081 2102 2008 1820 1698 1652 1443 1388 1532 1781 2034 2347 2730 3012 2798 2347 2317 2204 2066 1907 1722 1504 1312 1242 1358 1467 1506 1695 1994 2424 2794 3007 3054 2929 2693 2538
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37 42 44 44 46 53 60 67 74 77 74 70 62 57 53 53 53 53 50 41 36 40 55 78 77 85 78 65 61 69 76 74 64 47 40 43 45 44 46 46 39 29 23 22 29 33 42 36 30 25 20 17 19 24 28 30 37 33 24 19 20 20 18 14 12 13 19 17 12 8 6 6 6 6 4 4 4 3 5 7 8 7 6 6 7 8 6 5 5 10 10 6 4 3 4 5 6 6 5 5 6 8 10 12 11 9 8 9 9 9 9 9 7 6 6 7 7 7 7 6 5 5 5 4 2 2 2 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 5 47 191 475 818 1039 962 746 612 456 183 26 0 2 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 23 34 42 37 24 19 16 11 8 9 9 14 15 10 4 1 0 1 3 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 0 0 0 0 0 1 2 2 3 3 5 11 10 10 11 12 15 19 23 30 39 47 51 52 52 53 54 51 47 45 44 44 44 45 46 46 47 47 46 45 44 43 42 41 40 39 38 38 39 40 39 41 43 45 47 48 49 48 47 48 48 49 51 55 56 59 63 64 65 66 63 65 64 64 67 71 74 72 69 69 75 84 89 92 95 96 98 98 93 86 82 80 76 74 68 65 65 64 62 62 62 62 61 58 54 50 46 43 39 31 26 28 31 32 34 34 34 37 40 41 40 38 35 32 30 28 25 22 18 16 14 12 10 7 2 0 0 0 0 0 0 2 10 29 61 122 260 375 403 363 346 394 507 672 815 939 1215 1479 1495 1507 1699 2020 2032 1649 1342 1506 1892 2095 2010 1939 1919 1842 2157 2364 2295 2075 1888 1804 2001 2541 2820 2434 1924 1616 1703 2134 2909 3172 2873 2570 2232 1827 1645 1820 2140 2909 3369 3350 3185 2882 2371 1974 1725 1583 1588 1772 2178 2629 2653 2701 2776 2809 2869 2976 3083 3239 3469 3643 3678 3422 2878 2348 2135 2267 2394 2183 1896 1775 1648 1507 1392 1326 1330 1219 1117 1132 1481 1835 1878 1832 2105 2477 2726 2847 2996 3017 2686 2387 2286 2313 2356 2414 2485 2302 2222 2193 2160 2077 1994 1857 1728 1729 1787 1705 1722 2150 2670 2862 2703 2492 2282 2029 1779 1659 1649 1776 1998 2071 2156 2175 2240 2407 2643 2882 3117 3157 3126 3083 2919 2754
42 38 35 34 40 48 50 59 63 66 67 66 62 60 53 46 37 29 26 29 31 35 40 48 60 59 52 46 50 54 64 70 65 52 40 38 43 44 49 48 43 37 32 28 29 32 40 33 24 22 20 20 21 22 26 31 34 35 27 20 17 13 12 12 12 12 14 14 11 8 6 5 5 5 4 4 3 4 5 6 8 7 7 7 8 7 5 4 6 10 11 6 3 3 4 6 7 8 7 5 5 8 11 11 11 8 7 8 9 9 9 8 6 6 6 7 7 7 7 6 5 5 4 3 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 1 16 100 310 629 925 1013 785 551 420 315 109 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 12 20 16 9 5 3 2 1 0 0 0 2 4 2 0 0 0 0 1 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 3 4 6 7 9 11 12 14 19 26 33 40 45 48 50 49 51 52 46 44 42 41 42 44 43 42 42 41 40 38 38 37 37 37 36 35 35 35 36 37 37 38 39 40 42 42 41 41 41 42 43 43 43 44 45 46 47 49 48 52 52 52 54 58 62 69 73 72 70 67 70 77 84 88 92 94 96 98 96 92 91 87 82 78 72 66 63 63 63 63 64 64 63 60 58 55 50 47 44 33 27 29 31 32 33 34 36 38 40 40 38 36 34 33 32 28 24 20 18 17 15 12 9 5 1 0 0 0 0 0 0 1 7 22 48 115 252 381 446 430 388 389 467 627 825 1062 1459 1726 1717 1658 1747 2177 2310 1986 1571 1446 1671 1929 1932 1939 1906 1841 2017 2271 2391 2260 2098 1977 2097 2666 2939 2603 2102 1845 1700 1992 2686 3046 2852 2504 2314 2095 1667 1806 2097 2752 3148 3300 3311 3152 2739 2276 1914 1649 1534 1471 1749 2245 2380 2478 2581 2677 2749 2797 2867 3000 3220 3488 3649 3484 2915 2375 2141 2226 2358 2153 1662 1579 1386 1169 1093 1009 1065 1024 949 1020 1401 1896 1935 1865 2017 2362 2618 2770 2869 2825 2643 2448 2363 2432 2597 2658 2526 2316 2194 2141 2123 2060 1957 1857 1755 1724 1727 1800 1939 2346 2682 2747 2638 2471 2238 1938 1629 1503 1633 2066 2428 2475 2341 2269 2330 2433 2582 2764 2917 2917 2907 2882 2795 2664
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