Vorticity
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nan 5 5 5 6 5 5 4 5 5 4 3 3 3 4 5 5 3 2 1 2 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 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 6 6 5 5 4 4 4 5 5 6 5 5 4 4 4 3 3 3 4 4 3 3 3 4 5 5 5 5 5 5 5 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 3 4 4 4 4 4 4 5 6 6 6 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 4 3 4 4 5 5 5 5 5 5 5 5 6 7 9 10 12 14 14 13 11 10 8 7 6 6 5 5 5 6 7 8 9 10 10 11 11 10 6 1 -5 -7 -6 -7 -9 -6 1 7 8 3 -1 1 7 12 17 21 17 9 7 10 13 14 13 10 8 7 8 9 10 10 10 9 7 6 7 9 10 9 8 8 10 12 14 15 16 17 16 14 12 12 12 10 7 3 0 -0 1 2 3 2 -1 -3 -1 1 0 0 1 1 -0 2 3 3 1 -1 -2 -2 -2 -4 -7 -12 -13 -9 -4 1 3 7 13 20 25 24 18 11 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 9 9 9 9 11 15 15 10 7 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 -2 -8 -10 -5 1 -1 -4 -2 3 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 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 5 4 3 3 4 4 4 4 4 4 4 5 5 5 6 6 7 8 8 8 8 7 8 8 8 6 5 7 10 12 14 15 14 11 9 8 7 6 4 3 3 2 2 2 4 6 5 3 5 8 10 7 3 0 -0 -0 0 -3 -9 -9 -1 5 9 10 11 12 12 12 11 11 10 9 8 9 11 12 14 14 13 11 9 8 7 7 7 8 8 8 8 7 8 10 11 11 9 7 5 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 5 5 4 3 4 5 6 6 6 6 6 4 3 2 2 2 nan
nan 5 5 5 6 6 5 5 5 5 4 3 2 2 4 5 5 4 2 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 6 6 5 5 5 5 6 6 6 5 4 4 4 5 5 5 5 4 4 4 4 3 3 4 4 3 2 3 4 5 5 5 5 5 5 5 4 3 3 4 4 5 5 5 4 3 3 4 4 5 5 5 5 4 4 4 4 5 5 5 5 5 5 4 4 3 3 4 4 3 3 3 3 4 5 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 5 4 4 4 4 4 4 4 5 5 5 5 5 6 7 8 10 12 14 15 14 12 10 8 7 6 5 5 6 6 7 8 9 11 12 14 14 14 12 10 5 1 0 1 -1 -5 -5 -0 5 7 5 2 4 8 11 12 15 16 12 8 7 8 9 8 6 3 3 3 5 7 8 8 7 6 6 8 9 10 9 9 11 13 15 16 17 18 18 15 11 9 9 9 8 6 5 3 2 3 4 5 4 1 -0 1 2 1 -0 -0 -1 -1 2 5 6 5 3 1 -0 -2 -5 -8 -8 -4 0 3 5 9 14 21 26 27 22 14 8 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 8 9 10 10 12 14 13 9 8 9 8 7 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 2 -5 -10 -8 1 1 -7 -8 -2 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 6 6 5 5 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 5 4 4 3 3 4 4 4 4 5 5 5 5 5 5 5 6 6 7 9 10 9 8 8 7 6 5 5 7 9 13 15 14 11 10 10 10 9 6 5 5 4 4 4 5 6 4 4 5 7 8 6 3 2 2 1 -1 -4 -8 -6 1 7 9 10 10 10 10 11 11 12 11 10 10 10 12 13 15 15 15 13 11 10 9 8 7 7 7 7 7 8 9 10 10 9 7 5 4 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 5 5 4 5 5 5 5 4 3 3 4 4 5 6 7 7 6 5 4 2 1 1 nan
nan 5 5 5 6 6 5 5 5 4 4 3 3 3 4 5 4 4 3 4 4 4 3 2 2 3 3 3 3 3 4 4 4 3 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 3 4 4 5 5 6 6 5 5 5 5 5 5 6 6 6 6 5 4 4 4 4 4 4 4 4 4 4 3 3 4 4 3 2 2 3 4 5 4 4 4 5 5 4 4 4 4 5 5 5 5 4 3 3 3 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 2 3 3 4 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 6 6 5 4 4 4 4 4 5 5 5 5 5 5 5 6 7 8 11 13 15 14 12 10 8 7 6 6 6 6 7 8 10 11 13 15 17 17 17 15 13 10 9 8 8 6 3 1 2 4 5 5 4 4 7 10 10 10 10 8 5 5 5 4 2 1 1 1 1 3 5 6 6 5 5 6 6 7 8 8 9 12 15 17 17 18 18 16 13 9 7 6 6 6 6 7 6 5 4 5 5 4 2 1 2 1 -0 -1 -1 0 1 2 5 7 6 4 2 -1 -4 -8 -8 -4 1 5 7 11 16 23 28 28 23 15 9 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 9 10 11 13 15 13 7 6 9 10 7 5 5 6 6 6 6 6 6 6 6 5 5 5 5 4 4 5 5 5 4 0 -7 -8 -0 4 -3 -10 -6 2 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 6 6 6 5 4 3 3 3 4 4 5 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 5 4 3 3 3 3 4 4 5 5 5 5 5 5 5 4 4 6 8 10 11 10 9 8 6 4 5 6 8 11 13 13 9 8 10 12 10 6 5 6 6 7 8 7 5 4 4 5 6 5 4 3 2 0 -2 -4 -5 -4 -0 5 8 9 9 9 9 9 10 11 11 10 10 9 10 11 13 15 16 16 15 14 12 10 8 7 6 6 7 8 9 9 9 8 7 5 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 5 6 7 8 8 7 5 3 1 1 nan
nan 4 5 5 5 5 5 5 4 4 3 3 3 4 4 4 3 3 4 4 4 4 3 3 2 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 5 5 6 6 5 5 5 5 6 6 6 7 7 6 5 4 3 3 3 3 4 4 4 4 4 3 3 4 4 2 2 3 4 5 4 4 4 5 5 5 5 5 5 5 5 5 5 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 2 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 5 5 5 4 4 4 5 5 5 5 5 4 4 5 7 10 13 14 14 12 10 8 7 6 6 6 7 8 10 11 13 15 17 18 19 19 16 14 13 15 17 18 15 11 7 4 3 3 4 4 5 6 7 7 6 5 4 4 4 4 3 1 1 2 2 2 3 4 5 7 6 5 5 5 5 6 7 8 10 12 14 15 14 13 11 9 7 6 4 4 4 6 7 7 6 5 5 4 2 1 1 1 0 -1 -1 -0 2 2 2 3 5 5 4 1 -4 -8 -8 -4 1 5 9 13 19 25 29 29 24 15 9 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 8 9 11 14 18 15 6 3 7 9 7 5 5 5 5 6 6 6 6 6 6 6 5 5 5 4 4 4 4 4 5 3 -3 -7 -4 2 1 -5 -5 1 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 4 4 4 4 4 4 5 5 6 6 6 5 5 4 3 3 3 4 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 6 7 6 6 4 3 3 3 3 3 4 5 5 5 5 5 5 5 4 4 5 6 9 11 11 10 9 6 4 4 6 8 10 12 11 6 5 8 11 9 6 5 6 7 8 10 9 5 4 5 6 6 5 3 1 -1 -3 -5 -4 -2 2 4 6 8 9 9 9 9 9 9 10 11 10 9 8 9 11 12 14 15 16 16 15 13 10 8 6 5 6 8 10 10 9 8 7 6 4 4 3 3 3 3 3 3 4 4 4 5 5 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 3 3 3 3 4 5 6 7 9 9 9 7 5 2 1 nan
nan 4 4 4 4 5 5 5 4 4 3 3 3 4 4 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 5 5 5 6 6 5 5 5 6 6 7 7 7 7 6 4 3 2 2 3 4 4 4 5 4 3 3 4 4 3 2 2 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 4 4 4 6 9 11 13 13 11 10 8 7 7 7 7 8 9 10 12 13 15 17 18 19 18 17 15 15 16 19 22 21 17 13 8 6 6 6 6 5 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 5 6 6 4 3 4 4 5 7 8 7 7 7 8 7 6 5 4 3 3 2 2 3 4 4 4 3 3 4 3 2 1 3 3 2 1 1 1 2 1 0 2 3 4 3 -1 -7 -8 -4 2 6 10 16 23 28 30 28 22 15 9 6 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 8 10 14 19 18 8 2 4 5 5 5 5 4 3 5 6 6 5 5 6 6 6 5 5 5 4 4 4 4 4 4 2 -3 -6 -5 -4 -3 -0 3 4 5 5 5 5 5 6 6 6 6 5 5 5 5 5 4 4 4 4 4 4 5 5 5 6 6 6 5 4 3 3 3 4 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 6 7 7 6 5 3 3 2 2 3 4 4 5 4 4 4 5 5 5 5 5 6 8 11 13 12 11 8 4 2 4 7 11 12 9 4 3 5 8 8 6 5 7 8 8 9 8 6 5 5 6 5 4 2 -0 -2 -3 -2 -1 2 4 5 5 6 8 9 9 8 8 9 10 11 10 8 8 9 10 12 13 15 16 16 14 12 9 6 5 5 7 9 10 9 8 6 6 5 4 3 3 3 3 3 3 3 3 4 4 5 5 5 5 4 4 4 3 3 3 3 3 3 2 2 3 4 4 4 3 3 3 3 3 3 4 5 6 7 8 10 10 9 6 3 1 nan
nan 4 4 4 4 5 5 5 5 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 6 7 7 7 7 6 5 4 3 2 3 4 4 4 5 5 4 4 4 4 4 2 2 3 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 3 3 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 5 4 4 4 4 5 5 5 5 5 5 5 5 4 4 5 5 6 6 5 5 4 5 7 10 11 12 11 9 8 7 7 7 7 8 9 10 11 13 14 15 17 17 17 16 16 15 14 13 15 17 18 17 14 13 13 12 8 5 2 2 2 3 5 5 4 2 2 4 6 7 7 6 6 6 5 4 3 3 2 1 2 5 7 7 7 5 2 2 3 3 2 1 -0 -2 -2 -1 0 1 2 2 1 2 3 4 5 3 2 4 6 6 4 2 1 1 1 1 3 4 5 3 -3 -8 -5 1 6 11 19 27 33 33 28 21 13 8 6 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 9 12 18 20 13 5 4 4 4 5 6 5 3 3 5 6 5 5 5 6 6 6 6 6 6 5 4 4 4 4 4 2 -4 -10 -13 -8 1 4 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 4 4 4 4 4 4 5 5 5 6 6 6 6 4 3 2 2 3 4 5 4 4 4 4 4 4 4 4 4 4 4 5 5 6 7 7 7 5 4 3 2 2 2 3 4 4 4 4 4 4 5 6 6 6 6 8 11 12 13 13 10 5 1 3 6 10 10 7 2 2 4 5 5 5 5 7 8 8 7 6 5 5 5 6 6 5 2 0 0 1 1 3 4 4 4 4 6 8 9 9 8 8 9 10 11 9 8 8 9 10 11 12 13 14 13 12 10 7 5 5 6 7 9 9 8 6 5 5 5 4 3 2 2 3 3 3 3 3 3 4 4 5 5 5 5 4 4 3 3 3 3 3 2 1 1 2 3 4 4 3 3 3 2 3 3 3 4 5 6 8 10 10 9 6 3 2 nan
nan 4 3 4 4 5 5 5 5 4 4 4 4 5 5 4 4 3 3 3 3 3 3 3 3 4 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 5 5 6 6 7 7 7 7 6 5 5 6 7 7 7 7 6 5 4 3 3 3 3 4 5 5 5 5 4 4 4 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 3 3 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 6 6 5 4 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 5 5 5 6 6 6 6 5 4 4 6 8 9 10 10 9 8 7 7 7 7 8 8 9 11 12 13 14 15 16 17 17 17 17 16 14 13 15 18 20 21 21 20 16 10 5 3 3 3 3 5 6 5 3 3 4 6 9 11 11 9 8 7 6 4 2 2 1 2 5 7 6 4 1 -1 0 3 4 3 1 -1 -3 -4 -3 -1 1 2 2 2 2 4 6 6 4 3 4 6 5 3 1 0 0 1 4 5 6 6 2 -6 -9 -4 3 11 19 28 34 34 28 20 12 7 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 8 10 17 23 19 11 6 5 4 5 8 8 5 4 5 5 5 5 6 7 7 6 6 6 7 6 6 6 6 5 5 5 2 -7 -16 -14 -2 4 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 4 4 4 4 4 4 4 4 5 5 6 7 6 5 4 2 2 2 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 7 8 7 6 4 3 2 2 2 3 4 4 4 3 4 4 5 6 6 6 8 11 13 12 10 12 11 5 1 3 6 8 8 5 3 4 6 5 4 4 5 6 8 8 7 4 2 3 4 6 7 6 5 3 4 4 4 4 5 5 4 4 6 8 10 10 9 8 8 10 10 9 8 7 8 9 10 11 11 11 11 9 7 6 5 5 6 7 7 7 7 6 5 5 5 4 3 3 3 3 4 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 2 2 2 1 1 2 3 4 3 3 2 2 2 3 3 3 4 5 6 8 9 8 6 4 2 nan
nan 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 6 6 5 5 5 4 4 4 5 6 7 7 8 8 7 6 5 5 5 5 6 7 6 5 5 5 4 3 2 3 4 5 6 6 5 4 4 4 4 3 3 3 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 3 3 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 6 6 5 4 3 3 4 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 4 4 6 8 9 9 8 8 7 7 7 7 7 7 8 9 11 12 13 15 16 17 17 18 20 22 24 24 21 19 20 22 23 20 14 8 5 5 4 3 2 3 5 6 6 5 5 6 9 12 13 12 10 8 7 5 3 3 3 3 4 4 3 -0 -2 -2 1 5 8 7 5 3 1 0 0 1 2 3 3 3 3 3 5 5 4 2 2 3 2 1 0 0 0 3 6 7 7 6 -1 -11 -10 -2 8 18 26 31 30 24 16 10 7 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 8 14 23 25 18 11 7 5 4 7 10 9 6 5 5 5 5 6 8 9 8 6 6 7 6 7 9 8 6 5 5 5 -1 -13 -15 -6 3 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 4 4 3 3 4 4 4 4 4 5 6 7 7 6 4 3 1 1 2 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 7 8 8 7 5 3 2 2 2 2 3 4 4 4 4 4 5 6 6 7 10 14 16 12 8 9 10 5 1 2 6 6 5 4 4 6 8 8 7 5 4 5 7 8 7 4 1 0 3 6 7 7 7 7 7 6 5 4 4 5 5 5 6 10 12 10 8 7 8 9 10 9 8 7 8 9 9 10 10 10 9 8 6 5 4 5 5 6 6 6 6 5 5 5 4 4 3 3 3 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 2 2 2 1 1 3 4 3 3 2 2 2 2 2 2 3 4 5 6 7 7 6 4 4 nan
nan 3 4 4 4 4 4 4 4 3 3 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 6 6 6 5 5 4 4 4 5 6 7 8 8 8 7 6 5 5 4 4 6 7 6 5 5 5 5 3 3 3 4 6 6 5 4 4 5 4 4 3 3 4 4 5 5 5 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 3 4 4 4 3 3 3 3 4 4 4 4 4 4 3 3 4 5 5 5 5 4 4 4 5 5 5 5 5 4 4 3 4 4 5 5 5 5 5 5 5 5 6 7 7 7 6 6 4 4 5 6 7 8 8 8 7 7 6 6 6 6 7 8 10 11 12 13 14 15 16 18 20 22 25 27 23 17 15 16 16 12 6 3 4 5 3 1 -1 -0 3 5 7 7 6 4 5 7 10 11 10 7 5 3 2 3 4 4 3 2 1 -0 -2 -1 3 7 10 9 8 6 5 4 4 4 4 4 4 3 2 2 3 4 3 2 1 1 0 -0 1 2 3 6 7 7 7 2 -7 -12 -7 4 15 25 29 27 19 12 8 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 9 18 25 25 20 14 8 5 7 9 9 8 7 6 5 4 5 8 11 11 9 8 7 5 6 10 11 7 5 5 6 2 -9 -14 -6 2 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 4 4 3 3 3 4 4 4 4 4 5 7 7 7 5 3 1 0 1 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 8 9 8 6 4 3 2 2 2 3 4 4 4 4 4 5 5 6 8 11 16 17 12 8 9 10 6 0 1 5 6 5 4 4 6 9 12 12 10 7 5 6 7 8 5 1 1 3 6 7 7 7 8 8 7 6 4 4 5 6 5 7 10 11 9 7 7 8 9 10 9 8 7 7 8 8 9 8 8 8 7 5 4 3 3 5 6 6 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 2 2 3 4 3 2 2 3 3 3 2 2 2 2 2 2 2 3 4 5 6 6 5 5 5 nan
nan 4 4 4 4 4 4 4 3 2 2 3 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 5 5 4 4 4 5 6 7 7 7 7 6 6 5 4 3 4 6 7 5 4 5 5 5 4 3 3 4 6 6 5 4 4 5 5 4 3 3 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 4 4 3 4 5 5 5 5 4 4 4 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 4 5 6 7 7 7 7 6 5 4 4 5 6 7 8 8 7 7 6 5 5 6 6 7 8 8 9 10 11 11 12 13 14 14 14 13 10 7 6 6 5 3 1 0 2 2 1 -1 -2 -1 0 2 4 6 5 3 1 2 6 9 9 7 4 3 3 5 7 6 4 3 3 1 -1 0 5 8 10 9 8 7 6 5 4 4 4 4 4 3 1 2 3 4 4 3 2 1 1 1 2 4 6 7 7 5 3 -3 -10 -10 -1 12 23 28 25 18 10 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 10 17 22 24 22 16 12 12 12 12 12 11 8 6 4 3 5 9 12 12 12 10 6 6 10 11 8 6 6 5 2 -6 -10 -4 2 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 4 3 3 3 3 4 4 4 4 5 7 8 8 7 4 1 -1 -1 2 4 4 4 4 4 4 4 4 4 4 4 4 4 4 6 7 9 9 7 5 3 2 2 2 2 3 4 4 3 4 4 5 7 9 13 14 12 9 9 10 10 7 3 2 4 6 5 4 4 5 8 12 13 13 11 7 5 5 7 5 3 3 4 5 6 6 6 7 8 7 6 5 4 5 6 5 6 8 9 7 6 8 9 10 10 9 7 6 6 6 7 7 7 7 6 5 4 4 6 7 7 8 7 6 4 4 4 4 4 4 4 5 5 4 4 4 3 3 3 3 3 3 2 3 3 3 3 3 3 3 1 1 1 3 6 5 2 1 3 3 3 2 2 2 2 2 2 2 3 3 4 5 5 5 5 5 nan
nan 4 4 4 4 4 4 4 3 2 2 3 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 3 4 4 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 6 6 6 5 5 4 4 5 5 6 6 6 7 6 6 6 5 4 3 5 6 6 4 4 5 5 5 5 4 4 4 5 5 5 4 4 4 4 3 3 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 5 5 5 5 5 4 5 5 5 5 5 5 5 4 4 4 4 4 5 5 6 5 5 4 5 6 7 7 8 8 7 6 5 4 5 6 7 8 8 8 7 6 5 4 5 5 6 6 6 6 6 6 6 6 6 4 3 -0 -4 -5 -3 -0 0 0 1 2 2 1 0 0 0 1 2 1 -1 -0 2 3 3 1 2 4 7 9 8 7 6 7 9 11 10 8 5 3 0 -1 1 4 7 8 7 6 4 3 1 0 -0 -0 1 3 3 2 2 4 5 4 3 3 3 2 3 3 4 5 5 4 1 -1 -7 -11 -6 6 19 27 25 18 11 7 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 8 13 18 21 20 18 18 18 18 18 17 15 13 9 5 3 5 8 11 12 12 10 10 11 11 9 8 7 6 1 -6 -7 -2 3 5 5 5 5 5 5 5 5 6 6 6 7 7 6 6 5 4 3 3 3 3 3 4 4 4 4 6 8 9 8 5 1 -3 -5 -2 2 4 4 4 3 4 4 4 4 4 4 4 4 4 5 7 9 9 8 6 4 2 2 1 2 3 4 4 3 3 4 5 7 12 16 13 7 7 9 10 8 6 5 4 4 6 6 5 5 5 6 7 9 12 15 13 8 5 5 4 4 4 4 5 5 5 4 5 6 6 6 5 5 5 6 6 5 5 6 8 9 11 13 12 11 10 8 6 6 6 6 6 6 5 4 3 3 6 11 13 11 9 8 6 5 5 5 4 4 4 5 5 5 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 5 5 3 1 2 6 5 2 1 2 3 3 2 2 2 2 2 2 2 2 3 3 4 5 5 5 5 nan
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nan 11 12 12 12 11 11 10 9 9 8 7 7 6 6 6 6 6 6 8 10 11 13 13 13 13 15 16 17 19 20 21 18 16 13 9 7 5 5 5 6 7 7 8 8 8 9 10 11 12 13 14 15 16 16 15 15 14 14 13 13 13 13 13 12 13 13 13 14 15 15 15 16 16 17 17 17 17 17 16 15 13 12 11 9 9 9 10 10 11 12 13 14 15 15 15 14 13 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 13 13 13 14 14 14 14 13 13 13 12 12 11 11 11 11 12 12 13 13 13 13 13 12 12 11 11 11 12 12 12 12 12 11 11 11 11 12 12 13 14 14 15 15 14 13 13 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 12 12 12 12 12 11 10 9 8 8 9 10 11 11 12 12 12 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 13 13 13 13 13 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 13 13 13 13 13 13 13 13 13 13 14 14 14 16 17 18 18 17 15 13 12 10 8 6 5 7 9 12 14 15 15 15 15 15 14 14 15 15 14 14 13 13 13 13 14 14 14 14 14 14 14 14 14 12 12 12 12 13 13 13 12 12 12 12 12 13 14 15 16 17 18 18 17 16 15 14 13 13 13 13 12 12 12 12 12 12 14 16 19 22 23 22 19 17 15 14 14 14 14 15 15 15 14 14 14 13 13 13 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 11 10 10 9 9 9 8 8 8 9 10 10 10 10 9 9 8 7 6 4 4 3 5 6 8 9 9 8 7 7 8 9 11 13 15 16 16 15 13 12 10 9 8 9 10 11 13 14 14 14 14 14 14 14 13 13 12 11 11 10 11 12 13 13 12 11 9 8 7 7 7 8 9 10 11 11 11 11 11 11 11 12 13 13 13 13 13 12 11 11 10 10 9 9 9 9 10 11 11 12 12 11 11 11 10 10 9 9 9 9 10 10 10 11 12 14 16 18 18 17 15 13 11 11 10 10 10 10 11 12 12 12 13 13 13 13 13 13 13 13 13 13 14 14 13 12 11 10 10 10 10 10 9 10 10 11 11 nan
nan 11 10 10 9 9 9 9 8 7 7 6 6 6 6 6 5 5 4 5 7 9 11 12 14 15 16 18 19 19 19 17 14 11 9 7 7 7 7 7 7 8 8 9 10 11 12 13 14 15 16 17 17 17 16 15 14 13 13 13 14 14 15 15 15 15 14 14 13 13 12 12 12 12 12 12 13 14 15 15 14 13 12 11 11 10 10 11 11 12 13 14 14 15 15 15 15 14 13 13 13 13 13 14 14 14 14 14 14 14 14 14 13 13 12 11 11 11 10 10 10 11 11 11 12 12 13 13 13 13 13 13 14 14 14 14 14 14 14 14 13 13 13 12 12 12 12 12 12 12 12 13 13 12 12 11 11 11 11 11 11 11 12 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 11 11 11 12 12 12 12 12 12 12 12 13 13 13 12 12 12 12 11 11 11 12 12 12 11 10 8 7 6 5 6 8 9 10 11 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 11 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 14 14 15 15 15 14 13 11 10 8 7 8 10 12 15 17 17 16 15 14 14 14 14 15 15 14 14 14 13 13 12 13 13 14 14 14 14 14 14 14 14 13 12 13 13 14 15 14 13 13 13 13 14 15 16 16 17 17 17 16 15 15 14 13 13 12 12 12 12 12 12 12 12 13 15 18 21 23 22 20 18 16 14 14 14 14 15 15 15 15 15 14 14 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 11 11 10 10 9 9 9 8 8 8 9 10 10 10 10 9 8 8 7 6 5 4 4 5 7 8 9 10 9 8 9 9 11 13 13 14 13 13 12 11 10 10 9 10 10 11 12 12 13 13 13 12 11 11 11 10 10 11 11 11 12 13 14 15 15 14 12 10 9 8 7 8 9 9 10 10 10 10 11 11 11 11 11 11 11 12 13 13 13 12 12 11 10 10 10 10 10 11 11 12 12 12 12 11 11 10 10 9 9 9 9 10 10 10 10 11 13 14 16 17 16 14 13 12 11 11 10 10 11 11 11 11 11 12 12 13 13 13 12 12 12 13 13 14 14 13 13 12 11 11 10 10 10 10 10 11 11 11 nan
nan 10 9 8 8 7 7 7 7 6 6 5 5 6 6 7 6 5 5 5 5 7 10 12 15 17 19 20 20 20 19 15 12 9 7 7 8 8 9 9 8 8 9 10 11 12 13 14 16 16 17 17 16 16 15 14 13 12 12 13 14 15 16 17 17 17 16 15 14 13 12 11 11 10 10 9 9 9 10 11 12 11 11 11 11 12 11 12 12 12 13 14 15 16 16 16 15 15 14 14 14 13 13 13 13 13 14 14 15 15 15 15 14 13 12 11 10 10 10 10 10 11 11 12 13 14 14 15 15 15 14 14 14 14 14 14 14 14 14 14 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 13 12 12 12 12 12 12 12 12 12 12 13 13 12 12 10 9 8 8 8 9 10 11 11 11 11 11 11 11 11 11 11 12 12 12 13 13 13 12 12 12 13 13 13 13 13 13 12 12 12 12 11 11 11 11 12 12 12 13 13 13 12 12 12 12 12 12 12 13 13 13 13 13 12 12 11 11 10 10 10 10 12 14 17 19 20 18 16 14 13 14 14 14 14 15 15 15 14 14 13 12 12 12 13 13 13 13 13 14 14 15 15 14 14 13 14 14 15 14 14 14 14 14 15 16 16 16 16 16 15 15 14 14 13 13 12 12 12 12 12 13 14 14 15 16 17 19 21 21 20 18 16 15 14 14 14 14 15 15 14 15 14 14 14 13 13 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 11 11 11 11 10 10 10 9 9 8 8 8 9 10 10 10 10 9 8 8 7 6 5 5 5 5 7 9 11 11 10 10 10 10 11 11 11 10 10 10 9 9 9 9 10 10 11 11 12 12 12 12 12 11 11 11 11 10 10 11 12 12 14 14 14 15 14 14 13 13 12 11 11 11 11 10 10 10 10 10 11 12 12 11 10 10 10 11 12 13 13 13 12 12 11 10 10 10 11 11 12 12 13 12 12 11 11 10 10 10 9 9 10 10 10 10 10 11 12 14 15 14 13 12 12 11 12 13 13 13 12 12 11 10 10 10 11 12 12 12 12 12 12 12 12 13 13 13 12 12 12 11 11 11 10 11 11 11 12 12 nan
nan 9 8 7 6 6 6 6 6 5 5 4 5 5 7 8 9 10 10 10 11 12 14 16 18 20 22 23 22 20 18 13 10 8 7 7 7 8 8 7 7 7 8 9 10 12 13 14 15 15 16 15 14 13 13 12 12 12 12 13 14 15 16 17 17 17 17 16 15 14 13 12 11 10 9 9 8 8 8 9 10 11 12 12 13 13 14 14 14 14 14 16 16 17 17 16 15 14 14 13 13 12 12 12 12 12 13 14 14 15 15 15 14 14 13 12 11 11 10 11 11 12 13 14 15 15 15 15 15 15 15 14 14 14 14 13 13 13 13 12 12 12 13 13 13 14 14 14 14 13 13 12 12 12 11 12 12 12 12 12 12 11 11 11 12 12 12 13 13 13 13 13 13 13 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 12 12 12 12 12 12 12 12 12 12 12 12 12 13 14 15 16 17 17 16 14 12 11 10 10 11 11 11 11 11 11 12 12 12 12 12 12 13 13 13 12 12 12 12 13 13 13 13 13 13 13 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 12 13 13 13 13 13 12 11 10 10 10 11 12 14 16 17 18 17 16 15 14 14 14 14 14 14 15 15 15 15 15 14 13 13 12 12 12 12 12 13 13 14 15 15 15 15 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 13 13 13 12 12 12 12 13 14 16 17 18 18 17 17 18 18 18 17 16 15 15 14 14 15 15 15 15 15 14 14 14 13 13 13 12 12 12 12 12 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 9 9 8 8 9 9 10 10 10 9 9 8 8 7 6 6 5 5 7 9 12 13 13 12 11 10 10 9 9 8 8 7 7 7 8 8 8 9 9 10 11 11 12 12 12 12 12 13 12 11 11 10 10 11 12 12 13 13 13 12 12 12 13 14 14 14 13 13 12 12 11 10 10 11 11 12 11 10 9 9 9 10 11 12 13 13 12 12 11 11 11 11 11 12 12 13 12 12 11 11 10 10 10 10 10 10 10 10 10 10 11 12 13 14 13 11 9 10 11 13 14 15 15 14 12 10 9 9 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 13 13 nan
nan 9 8 7 6 6 5 5 6 6 6 6 6 7 7 9 12 15 16 16 18 18 19 21 22 24 24 23 21 18 15 11 8 7 6 6 6 6 6 5 5 6 7 9 10 12 13 14 14 14 14 14 13 12 12 12 12 12 13 14 15 16 16 17 17 16 17 16 15 15 13 12 11 10 9 9 9 9 9 10 11 12 13 14 14 15 15 16 16 17 17 18 18 18 17 16 14 13 12 11 11 11 11 11 11 11 12 13 14 15 15 15 15 15 14 13 13 12 12 13 13 13 14 14 14 15 14 14 15 14 14 14 14 14 14 13 13 12 12 11 11 11 12 12 13 13 13 13 13 13 12 12 11 11 11 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 14 15 16 17 18 17 16 14 12 11 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 12 12 12 12 11 11 10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 14 13 13 12 12 12 12 12 13 13 14 14 14 15 15 16 16 16 16 15 15 15 15 15 15 15 15 14 14 13 13 12 12 12 13 13 14 15 15 16 15 15 14 14 14 14 14 14 14 14 13 13 13 13 13 13 13 13 13 13 13 13 13 13 14 15 17 19 20 19 18 16 15 15 15 15 15 15 15 14 14 15 15 15 15 15 15 14 14 14 13 13 12 12 12 12 12 12 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 7 6 6 6 7 10 13 17 17 16 13 11 9 8 7 7 6 6 6 6 6 6 7 7 8 9 10 10 11 11 12 13 13 14 14 13 12 11 10 9 9 10 11 11 12 11 11 11 12 12 13 14 15 15 15 15 14 13 11 10 10 10 11 11 11 9 8 8 9 10 11 12 12 13 12 12 11 11 11 11 12 12 13 13 12 11 11 10 10 10 10 10 10 10 10 10 10 11 12 13 13 12 11 10 10 11 14 16 18 18 15 12 11 9 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 nan
nan 10 10 9 7 6 6 6 7 7 8 9 9 8 8 8 8 10 12 14 16 18 19 20 21 21 20 18 16 13 10 7 6 5 5 5 5 5 5 4 4 6 8 10 12 13 14 15 15 14 14 13 13 13 13 13 13 14 14 15 16 17 17 17 17 17 16 16 16 15 14 13 12 11 10 10 9 9 10 11 12 12 13 14 15 15 15 15 16 17 19 19 19 18 17 15 14 13 12 11 10 10 10 10 11 11 12 13 14 15 16 16 16 15 15 14 14 13 14 14 14 14 14 13 13 13 12 12 13 13 13 13 13 13 13 13 12 12 12 12 11 11 11 12 12 13 13 13 12 12 11 11 11 11 12 12 12 12 12 12 12 12 12 13 14 14 14 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 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 13 13 13 13 13 13 13 13 14 14 12 11 9 8 8 8 10 10 11 11 11 11 11 12 11 11 11 11 11 12 12 12 13 13 13 13 13 13 12 12 11 11 11 11 10 10 10 10 10 11 11 12 12 13 13 14 14 14 14 13 12 11 11 11 12 13 14 14 15 15 15 14 14 13 12 12 12 13 13 14 15 16 17 17 18 17 17 16 16 16 16 15 15 15 14 13 13 13 13 13 12 13 14 15 15 16 15 15 14 14 14 14 14 13 13 13 13 13 13 13 13 13 14 14 14 14 14 14 15 15 16 18 19 19 18 16 14 14 14 14 14 15 15 15 15 15 15 15 15 15 15 15 14 14 14 13 13 12 12 12 12 12 12 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 7 7 7 7 6 6 8 11 15 20 22 21 18 13 9 7 6 5 5 5 5 5 5 5 6 6 7 8 8 9 9 11 12 13 14 15 16 15 14 13 11 9 9 9 10 11 11 11 11 11 12 12 12 12 12 14 15 16 16 16 14 12 11 10 10 10 11 11 11 9 9 9 9 10 11 12 12 12 12 12 12 11 11 11 12 12 12 12 12 11 10 10 10 11 11 11 10 10 10 10 10 11 11 12 12 11 11 11 12 14 17 18 17 16 14 12 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 nan
nan 11 10 9 9 7 7 7 7 9 9 10 10 9 7 4 3 2 3 5 9 12 15 16 17 16 15 12 10 8 5 4 4 4 4 5 6 6 6 6 6 7 9 11 13 14 15 16 15 15 15 15 14 14 14 14 14 14 15 15 16 17 17 17 17 17 17 17 17 16 15 15 13 12 11 10 10 10 10 11 12 12 13 13 13 13 13 14 15 17 19 19 19 19 17 15 14 13 13 12 11 11 11 11 11 11 12 13 14 14 16 16 16 16 15 15 14 13 13 13 13 12 12 11 11 11 11 11 11 12 12 12 13 12 13 13 13 13 12 12 12 13 13 13 13 13 13 12 12 11 10 10 11 11 12 12 12 12 12 11 12 12 13 14 14 14 14 14 14 14 14 13 13 13 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 13 13 13 13 13 13 12 11 9 7 5 3 3 3 5 7 9 9 10 11 11 12 12 12 11 11 11 11 12 12 12 12 13 12 12 12 12 11 11 10 10 10 9 10 10 10 10 10 10 11 11 12 13 14 14 15 16 16 15 14 13 12 12 12 12 13 14 14 15 15 15 15 15 14 13 12 11 10 10 10 11 13 14 16 17 18 17 17 16 16 16 16 16 15 15 15 14 14 14 13 12 12 12 13 14 15 15 14 15 14 14 14 13 13 13 12 12 13 13 14 15 16 16 16 15 15 15 15 15 15 16 16 17 16 15 14 14 13 14 14 14 15 15 15 15 15 15 15 15 15 15 15 14 14 13 13 12 12 12 12 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 10 10 10 9 9 9 8 8 8 7 7 7 7 8 11 14 20 24 23 22 16 11 8 6 6 5 5 5 5 5 5 5 6 6 6 7 8 8 9 10 12 14 16 17 18 17 16 14 11 10 9 10 10 11 11 12 12 12 12 12 11 11 11 12 13 14 15 16 15 14 13 11 11 11 11 12 12 12 11 11 10 10 11 10 11 12 12 13 13 12 12 11 11 12 12 12 12 11 11 10 10 11 11 11 11 10 10 9 9 9 9 10 10 10 11 11 12 13 14 16 16 15 14 12 11 11 12 12 11 12 12 12 12 12 13 13 12 13 13 12 13 13 13 13 13 13 13 14 14 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
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62 64 70 78 80 87 91 87 77 72 66 57 56 57 60 63 64 62 58 47 45 43 46 46 40 36 35 36 35 34 34 31 28 25 23 24 25 27 25 17 11 7 5 4 3 2 3 3 4 4 5 5 6 11 8 6 5 6 9 11 12 13 13 11 12 11 10 9 8 9 9 8 8 7 7 6 6 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 80 300 536 469 151 16 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 9 12 14 16 21 26 27 33 41 51 61 58 55 59 64 62 61 63 71 87 94 106 126 141 144 145 141 144 176 191 192 188 179 168 163 165 169 174 178 184 191 198 203 204 199 192 183 173 166 160 153 145 137 129 121 122 119 121 128 136 143 149 151 156 163 165 158 143 127 117 113 116 120 126 129 119 106 98 91 81 70 65 60 53 48 47 47 46 45 45 44 50 48 47 46 43 40 36 34 32 31 32 30 26 23 22 24 29 30 27 24 40 124 310 549 759 914 999 1068 1117 1189 1272 1365 1457 1513 1633 1796 1908 1892 1787 1747 1790 1790 1481 1288 1212 1200 1226 1273 1360 1442
66 72 77 76 75 81 85 84 82 77 69 61 54 51 53 56 56 53 50 47 48 45 44 41 40 39 38 34 31 29 27 25 23 22 22 23 24 24 22 15 9 6 4 4 3 3 4 3 4 4 4 5 7 8 6 5 5 8 10 11 12 13 13 12 11 11 9 9 9 8 8 7 6 7 7 6 5 5 5 4 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 11 118 396 583 414 119 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 8 11 14 16 20 23 27 34 40 48 56 58 56 56 58 55 60 60 68 82 95 109 127 144 147 151 152 156 170 182 189 190 180 181 188 189 188 185 185 193 204 210 212 208 198 192 185 177 170 165 159 154 148 141 135 133 130 129 130 136 142 149 153 156 158 161 159 149 134 119 108 105 105 111 116 116 110 103 100 94 83 74 68 60 53 48 46 46 45 46 44 45 46 48 48 46 43 39 34 31 28 29 30 29 25 21 20 24 28 29 27 26 67 194 408 682 904 1024 1091 1123 1140 1170 1233 1349 1446 1563 1704 1822 1852 1809 1768 1763 1854 1581 1332 1252 1305 1383 1486 1616 1712
68 75 78 77 74 72 67 70 77 77 70 61 52 45 43 44 43 41 40 39 37 37 34 31 31 31 27 24 23 22 22 23 23 23 22 22 22 19 16 14 10 7 4 3 3 3 3 3 4 4 4 5 6 6 4 4 5 9 11 12 13 13 12 11 11 11 8 9 9 9 8 7 6 6 6 5 5 5 4 4 3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 21 163 448 561 381 110 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 8 10 13 16 19 21 25 29 39 49 55 57 56 57 62 61 61 62 68 78 93 111 128 149 147 152 162 169 173 174 177 189 185 191 201 206 202 194 193 204 214 216 210 200 190 184 179 176 172 168 164 162 156 152 148 144 141 137 135 138 141 146 151 156 156 154 152 146 136 125 112 102 99 101 104 108 109 106 103 99 95 88 79 69 59 51 45 45 44 45 46 46 45 45 46 47 47 44 37 32 29 28 28 29 27 21 19 22 28 31 30 27 35 93 272 556 810 994 1101 1135 1128 1145 1182 1259 1362 1488 1619 1738 1803 1788 1748 1668 1695 1644 1435 1285 1436 1577 1715 1814 1862
66 78 79 78 75 68 58 61 70 66 61 55 47 38 33 32 31 29 27 26 24 22 20 18 16 15 14 14 17 19 21 22 22 21 19 18 17 15 12 11 11 8 5 3 3 3 3 3 3 3 5 5 5 5 4 5 7 10 13 14 14 13 11 10 11 10 9 9 9 9 8 7 6 6 6 5 5 4 4 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 17 52 211 490 507 293 81 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 17 20 22 28 33 40 48 55 59 63 61 63 64 63 65 69 77 92 118 133 148 151 160 174 186 189 183 178 191 199 201 200 201 201 197 195 201 209 219 215 198 182 177 175 173 171 168 165 162 159 157 156 152 147 145 142 140 139 140 146 154 156 152 146 141 132 124 116 109 105 105 106 108 106 103 103 100 100 98 91 80 66 57 49 46 44 45 46 47 47 47 45 47 48 49 43 36 31 27 25 28 27 22 18 19 25 32 32 29 26 33 157 390 658 907 1083 1131 1146 1168 1197 1235 1297 1388 1514 1662 1757 1738 1707 1644 1613 1640 1613 1393 1474 1656 1788 1856 1863
62 73 78 78 77 77 76 70 67 58 50 47 40 32 25 20 19 18 16 14 15 12 10 8 7 9 10 13 18 22 23 22 19 17 15 12 10 7 7 9 10 7 5 4 3 2 2 2 3 3 4 4 5 6 6 7 9 11 13 14 14 12 11 11 11 9 8 9 9 8 7 6 6 6 5 5 5 4 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 21 76 210 494 468 245 62 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 10 13 20 18 23 32 38 43 48 55 63 69 66 61 56 57 63 69 78 97 124 139 151 158 169 183 196 206 204 199 202 205 205 204 204 205 200 192 195 200 210 202 188 184 184 181 176 173 166 160 157 156 156 156 149 146 146 144 138 136 136 141 148 154 154 149 139 131 125 121 120 121 123 128 130 122 111 107 101 100 102 101 94 79 72 62 54 48 44 45 46 49 50 49 47 48 50 47 40 33 31 26 25 25 23 19 17 21 28 32 32 28 26 85 230 463 780 1019 1118 1147 1164 1222 1286 1325 1376 1471 1608 1684 1696 1676 1638 1607 1627 1745 1682 1568 1664 1772 1830 1871
54 63 74 76 72 70 74 73 66 55 44 40 37 28 19 15 13 12 10 7 6 6 5 6 8 11 14 18 22 25 25 23 19 15 11 9 6 3 6 7 7 6 5 4 3 2 2 3 3 4 4 4 6 8 10 11 12 13 13 14 14 12 11 12 11 9 8 8 8 6 7 6 5 5 4 4 4 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 11 76 252 494 398 170 35 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 15 18 20 26 34 41 47 50 56 65 72 72 65 59 59 64 68 76 97 121 141 155 164 179 194 202 209 214 223 230 224 213 209 212 213 203 194 194 192 195 199 203 201 193 188 182 178 173 168 162 157 157 159 156 151 146 138 135 136 139 143 148 152 152 146 138 133 133 134 135 136 145 159 160 152 138 122 109 104 106 107 105 102 92 80 68 56 48 48 46 47 50 50 49 49 51 51 44 35 32 28 25 24 24 21 18 18 21 27 31 31 29 39 93 257 622 923 1087 1117 1143 1248 1358 1412 1440 1502 1581 1626 1630 1609 1599 1585 1618 1754 1881 1796 1759 1800 1830 1877
45 54 65 70 70 70 68 68 65 54 44 39 33 22 12 9 7 7 7 5 5 6 7 10 12 16 19 23 26 27 25 19 13 10 9 9 7 6 9 8 7 6 5 3 3 3 3 3 3 4 4 5 7 9 13 13 15 15 14 14 14 13 11 11 11 9 9 9 8 6 6 6 5 4 4 4 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 15 88 225 298 168 32 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 15 17 20 27 35 43 50 52 59 67 74 75 69 63 62 65 67 75 96 121 146 162 182 205 216 214 205 209 234 252 244 222 207 206 209 205 201 197 193 193 194 194 196 197 197 189 183 173 164 160 157 159 162 160 158 152 144 140 139 140 147 154 155 151 144 139 137 142 148 150 156 168 173 172 166 156 141 127 112 111 108 107 107 105 98 84 67 58 55 52 48 49 50 50 49 50 54 47 39 33 30 28 26 25 23 20 18 19 24 29 33 33 29 27 152 445 819 1083 1133 1142 1296 1475 1498 1537 1564 1581 1600 1612 1560 1553 1537 1588 1678 1843 1965 1962 1919 1857 1860
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