Vorticity
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nan 3 3 4 4 4 4 3 4 5 6 5 4 4 3 2 2 3 5 6 7 6 6 6 5 5 4 4 4 5 6 6 5 4 4 3 2 2 2 3 4 5 4 4 4 5 6 5 5 4 5 5 6 6 6 5 5 4 4 4 4 4 4 4 5 5 6 6 5 4 4 3 3 3 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 5 5 5 5 6 6 6 6 5 5 5 5 5 4 4 4 4 4 5 6 7 7 7 7 6 5 4 3 2 2 3 3 4 4 4 4 3 3 3 5 6 6 6 6 6 6 6 5 4 3 2 2 2 2 2 2 2 2 2 3 3 3 3 4 4 4 4 4 5 5 5 5 5 4 4 4 4 5 5 6 6 6 5 5 5 5 5 6 6 9 13 16 15 9 3 1 1 3 8 10 8 4 1 3 8 11 14 15 11 5 6 9 10 8 6 4 3 4 6 8 9 10 10 9 8 8 8 8 8 7 8 10 11 11 10 10 12 14 14 13 10 9 7 5 4 3 4 3 1 0 1 3 5 3 0 -1 2 5 3 -1 -4 -6 -6 -4 -3 -3 -4 -5 -5 -6 -9 -15 -17 -13 -6 -0 3 6 10 17 22 23 19 14 10 7 6 6 5 4 4 4 5 5 5 5 6 6 6 6 7 8 8 8 6 5 3 3 3 3 3 3 3 3 3 4 4 5 6 7 8 9 8 8 10 13 14 10 6 5 5 5 4 4 3 3 2 3 5 7 7 7 6 5 4 3 3 3 3 4 4 1 -4 -6 -4 0 0 -3 -2 2 4 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 4 4 4 5 5 4 3 2 2 3 3 3 2 2 2 2 1 1 1 1 1 1 1 2 2 3 3 3 3 3 3 3 4 4 4 4 5 6 7 7 7 6 6 6 6 5 5 4 3 3 3 4 5 6 8 8 7 6 3 2 3 5 9 11 12 12 11 10 9 7 6 5 5 5 5 4 3 3 3 5 6 5 4 4 7 11 10 5 1 1 3 5 9 13 14 10 6 4 2 2 1 1 0 1 2 6 10 14 15 14 12 10 11 12 12 11 10 9 10 11 12 12 12 12 11 11 10 9 8 6 5 4 4 4 3 2 2 2 3 3 3 3 3 3 3 4 4 4 4 3 4 4 4 4 3 3 2 2 2 2 3 4 5 5 4 4 3 3 4 4 4 4 4 4 4 5 nan
nan 4 4 3 4 4 4 4 4 4 5 5 4 3 2 1 0 1 3 4 5 6 6 6 6 5 5 4 4 5 6 5 5 4 4 3 2 2 2 3 4 5 4 4 4 5 6 5 4 4 4 4 5 5 5 5 4 4 4 5 5 5 5 5 6 6 6 6 5 4 3 3 3 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 5 5 4 4 3 3 3 4 4 4 4 5 6 7 7 7 6 5 4 3 2 2 2 3 4 5 5 5 4 3 2 3 4 6 7 6 5 6 7 7 6 5 5 4 3 2 2 1 1 1 1 1 2 2 3 3 3 4 4 4 4 4 5 5 5 5 4 4 4 4 5 5 6 6 6 6 6 5 6 6 6 6 8 11 16 16 10 5 2 0 1 5 8 7 4 2 4 8 10 9 9 8 6 5 6 7 6 5 4 5 6 8 9 10 11 10 10 9 10 10 9 9 9 9 10 11 11 11 11 12 12 11 8 5 4 3 1 0 1 2 2 1 1 2 3 4 3 -0 -0 3 3 -0 -5 -10 -10 -8 -4 -2 -1 -0 0 -2 -6 -11 -13 -9 -3 3 6 10 14 17 20 22 21 20 17 14 11 8 6 5 4 4 4 4 5 5 5 6 6 6 7 7 8 9 8 7 5 3 2 2 2 3 3 3 3 3 4 4 5 5 6 8 9 9 10 12 14 14 10 6 6 6 6 5 4 4 3 2 3 4 6 7 7 7 6 5 4 3 3 2 3 4 3 -1 -5 -4 2 3 -3 -6 -2 3 4 5 5 5 5 6 6 6 6 6 6 6 6 7 7 6 5 4 5 6 5 4 3 3 3 3 3 3 2 2 2 2 1 1 1 1 1 1 2 3 3 4 4 4 4 4 4 4 5 5 5 6 7 7 8 7 7 6 5 5 4 4 3 2 2 2 3 4 5 5 6 5 4 2 1 2 4 7 9 10 11 11 10 9 8 8 6 5 4 4 4 3 3 4 4 5 5 5 7 9 11 9 6 2 3 6 10 14 18 17 13 8 5 3 3 2 2 2 2 4 7 10 12 12 11 11 11 11 11 10 8 7 7 7 8 8 8 8 9 9 9 8 7 6 5 4 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 2 1 1 1 2 4 6 7 6 5 4 4 3 4 4 5 4 4 4 4 5 nan
nan 6 4 4 4 5 5 4 4 4 4 4 4 3 2 1 0 0 1 2 3 4 5 6 5 5 4 4 4 5 5 5 5 4 4 3 2 1 1 2 4 5 5 5 5 5 5 5 4 3 3 4 4 4 5 5 5 4 5 5 5 6 6 6 6 6 6 5 5 4 3 3 3 4 4 3 3 2 3 3 3 3 3 4 4 5 5 5 4 4 4 4 4 5 5 5 5 4 4 5 5 5 5 5 6 6 5 6 6 6 6 5 5 5 5 4 3 3 3 3 4 4 4 4 6 6 6 6 5 4 3 3 3 3 3 4 5 6 6 6 4 3 2 3 4 6 7 7 6 6 6 7 6 6 6 5 3 1 1 1 1 1 1 1 1 2 2 3 3 3 3 4 4 4 4 5 5 4 4 4 4 4 5 5 6 6 6 6 6 6 6 6 6 6 7 10 15 16 12 9 7 4 3 4 5 5 4 3 4 7 8 7 6 5 5 5 5 4 3 4 6 9 10 10 10 10 10 10 8 8 9 9 8 8 9 9 9 10 11 11 11 11 9 6 3 1 0 -0 -1 -1 -0 0 1 1 2 2 2 3 3 2 2 2 -1 -5 -10 -12 -10 -6 -3 -1 1 3 2 -3 -8 -11 -8 -2 5 11 16 21 25 26 24 21 20 20 21 21 17 12 8 6 5 4 4 4 4 5 5 6 6 7 7 7 8 9 9 7 5 3 2 2 2 3 3 3 3 3 3 4 4 5 5 6 8 9 11 13 16 14 9 5 7 8 7 6 5 5 4 3 3 5 6 6 7 7 7 6 5 4 3 2 2 3 4 2 -2 -4 2 6 -0 -7 -5 1 4 4 4 5 5 6 6 7 7 6 6 6 6 7 7 7 6 5 5 6 6 5 4 4 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 2 3 4 5 5 5 5 5 5 5 6 6 7 7 8 8 7 7 6 5 4 3 2 2 1 2 3 3 4 4 4 4 3 3 2 1 2 4 5 6 7 8 8 7 7 8 7 5 4 4 4 4 3 3 3 3 4 5 6 7 7 8 8 6 6 8 13 17 20 21 19 14 10 7 5 5 4 4 4 5 6 8 10 10 9 9 10 10 10 9 8 7 6 6 6 6 6 6 7 7 8 8 7 6 5 4 4 3 4 4 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 2 1 1 1 2 4 7 9 10 8 7 5 4 4 4 5 4 4 4 4 5 5 nan
nan 8 5 4 4 5 5 5 4 4 4 4 4 3 3 2 1 1 1 1 1 2 4 5 5 4 4 4 4 4 4 4 4 4 4 3 2 1 1 2 4 5 5 5 5 5 5 4 4 3 3 4 4 4 4 4 4 4 5 5 6 6 6 6 6 6 5 5 4 4 3 3 4 4 4 3 3 2 2 3 3 3 4 4 4 5 5 5 5 5 4 4 4 5 6 6 4 4 4 5 6 6 6 6 6 6 6 6 6 6 5 5 4 5 5 5 4 4 4 3 4 4 4 5 6 6 6 5 4 3 3 3 4 4 5 6 7 7 7 6 4 3 2 3 4 5 6 7 6 6 6 6 6 6 6 4 2 1 1 1 1 1 1 1 1 1 1 2 2 2 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 6 6 6 7 7 7 9 13 16 16 14 13 10 7 4 4 3 4 4 4 5 5 5 5 5 6 6 5 3 3 4 7 9 10 9 9 9 9 8 7 7 8 8 6 5 6 6 7 8 9 9 9 7 5 4 2 1 -0 -1 -1 -1 0 1 1 1 1 0 1 2 4 5 4 -0 -5 -10 -12 -10 -6 -2 -0 2 4 4 0 -6 -9 -6 0 8 15 22 29 34 34 31 26 23 21 19 20 23 21 16 12 11 10 7 6 6 5 5 5 6 7 7 7 7 8 9 8 7 4 3 2 2 2 3 3 3 3 3 3 3 3 4 4 5 6 8 10 14 18 17 9 4 7 8 7 6 6 5 4 3 3 4 6 6 5 6 7 7 6 5 3 3 3 3 4 4 1 -1 1 4 1 -5 -5 1 4 4 4 5 5 5 6 7 7 6 6 6 6 7 8 8 7 6 6 6 6 6 5 4 3 3 3 3 3 3 3 3 2 2 2 2 1 1 1 2 3 4 5 5 6 6 6 6 6 7 7 7 7 7 7 7 6 5 4 3 2 1 -0 0 2 3 4 4 4 4 3 3 2 2 3 3 4 5 5 6 6 6 6 6 7 7 5 5 5 5 4 2 2 2 2 3 5 5 4 3 4 8 11 13 15 17 18 19 19 18 15 12 10 8 7 7 7 7 7 8 9 9 8 8 8 9 9 9 8 7 6 5 5 5 5 5 5 6 6 7 8 7 6 5 4 3 4 4 4 3 3 3 3 2 2 2 2 3 3 3 3 3 3 3 4 4 4 4 3 2 1 1 2 4 7 10 12 12 10 7 5 4 4 4 4 4 4 4 5 5 5 nan
nan 8 6 5 5 5 6 6 5 4 4 4 4 4 3 3 2 2 1 1 0 1 2 3 4 3 3 3 3 4 4 4 5 5 4 3 2 1 1 1 3 5 5 5 5 5 4 4 3 3 3 4 4 4 4 4 4 4 4 5 5 6 6 6 6 6 5 5 4 4 4 4 4 3 4 3 3 3 2 3 3 4 5 5 5 5 5 5 5 5 5 4 4 5 5 5 4 4 5 6 6 5 5 6 6 6 5 6 6 6 6 5 5 5 5 5 4 4 4 3 3 4 5 6 6 6 5 4 3 3 3 3 4 5 6 7 7 7 6 5 4 3 3 3 4 5 5 6 6 6 6 5 5 5 5 4 3 2 2 2 1 1 1 1 0 0 0 1 1 1 2 3 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 6 7 7 7 7 7 9 11 15 19 20 18 15 11 7 5 4 3 3 3 2 2 3 4 6 7 6 4 4 5 6 7 7 7 7 7 5 4 4 4 4 5 6 4 2 2 3 3 4 5 5 4 4 3 2 1 -0 -1 -1 -1 -1 -0 1 2 2 1 -0 1 4 6 5 2 -4 -9 -11 -8 -4 -1 1 2 4 5 4 -2 -6 -5 2 10 18 25 32 37 38 35 29 25 24 21 16 14 17 17 16 16 18 17 14 12 11 10 9 9 8 7 7 7 7 7 8 7 5 3 2 2 2 3 4 4 4 4 4 4 3 3 3 3 4 4 5 7 12 18 20 11 5 6 7 6 7 7 6 5 4 4 4 5 5 4 4 6 7 7 6 4 3 4 4 4 4 3 1 -0 -1 -2 -4 -2 2 4 4 4 4 5 5 6 7 7 6 6 6 6 7 7 8 7 7 6 6 6 6 6 5 5 4 4 4 3 3 3 3 3 3 2 2 2 2 2 2 3 4 5 6 6 7 7 7 7 7 7 7 7 6 6 6 6 5 4 3 1 -0 -1 -0 2 4 4 5 5 5 4 3 3 3 4 4 3 3 4 5 5 5 5 6 7 7 7 6 6 5 4 4 3 3 3 3 3 3 3 4 6 12 18 20 19 16 14 14 15 16 16 14 13 11 10 9 9 9 9 10 10 9 8 7 7 8 8 8 7 6 5 4 4 4 4 4 4 5 6 7 7 7 5 4 3 3 4 4 4 3 3 3 3 2 2 2 2 3 3 3 3 3 3 3 4 4 4 4 3 2 1 2 3 6 10 13 14 12 9 6 5 4 4 4 4 4 4 5 5 5 5 nan
nan 8 6 5 5 5 6 6 5 5 4 4 4 4 4 4 3 3 2 2 1 1 1 2 3 3 3 3 3 4 4 5 5 5 5 4 3 2 1 1 2 4 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 5 5 5 6 6 6 5 5 5 4 4 4 4 3 3 4 4 4 3 3 3 4 5 5 6 5 5 4 5 5 5 5 5 4 4 5 5 4 4 5 6 6 5 5 5 5 5 5 6 7 7 6 5 5 4 4 3 3 3 4 4 4 4 4 5 6 5 5 4 3 3 3 4 5 6 6 7 6 6 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 3 3 2 1 1 1 0 0 -0 -0 -0 -0 0 1 2 3 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 6 6 7 7 7 7 8 8 11 16 21 22 19 16 14 11 9 7 4 2 2 2 2 2 4 6 6 4 3 4 6 7 7 6 6 6 5 3 1 1 2 2 2 3 4 2 2 3 3 3 3 4 4 3 2 1 -2 -3 -3 -2 -0 -0 -2 -1 2 3 2 2 3 5 5 3 -2 -7 -10 -7 -2 1 2 3 4 5 5 2 -4 -4 2 10 18 24 29 32 33 32 27 21 19 19 16 11 8 8 9 11 16 19 20 20 18 18 20 20 17 13 9 7 7 7 7 7 6 4 2 1 1 2 4 4 5 5 5 5 5 5 4 4 3 3 3 3 5 9 16 21 16 8 6 6 6 6 7 7 6 5 5 5 6 5 4 3 4 6 7 6 5 5 4 4 4 4 4 4 0 -5 -8 -6 -0 3 4 4 4 4 4 5 5 6 6 6 6 6 6 6 7 7 7 7 6 6 6 6 7 7 7 7 6 5 4 4 3 3 3 3 3 2 2 2 2 2 3 4 5 6 7 7 8 8 8 7 7 7 7 6 6 5 6 5 4 3 2 0 -1 0 2 3 4 5 6 6 5 4 3 4 5 5 3 2 2 3 4 4 5 6 6 7 7 7 6 6 5 5 5 5 4 2 1 2 3 7 12 20 25 23 17 11 9 9 11 14 15 15 14 13 12 12 11 11 11 10 10 9 8 8 8 8 8 7 6 5 4 4 3 4 3 3 4 5 6 7 7 6 5 4 3 3 4 4 4 3 3 3 3 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 3 2 1 2 5 8 11 13 13 10 7 5 4 4 4 4 4 4 5 5 6 6 6 nan
nan 7 6 6 5 6 6 6 5 5 4 4 5 5 5 5 4 4 3 3 2 1 1 2 2 2 3 3 3 4 5 5 5 5 5 4 4 3 2 1 1 2 4 4 4 4 5 5 5 5 5 4 4 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 4 4 3 3 3 3 4 4 4 3 3 3 4 5 6 6 5 4 4 4 5 5 5 5 4 4 5 5 4 5 5 6 5 5 5 5 5 5 5 5 6 6 6 5 5 4 3 3 3 4 4 4 4 4 5 6 6 5 4 4 4 4 4 5 6 6 7 6 5 4 3 3 4 4 5 5 5 5 4 4 5 5 5 4 4 4 4 4 4 3 3 3 2 1 1 1 0 -0 -1 -1 -1 -1 -0 1 2 3 3 3 4 4 4 4 4 4 5 5 6 6 6 6 6 6 7 7 7 8 8 9 11 17 24 24 19 16 16 16 14 10 6 4 4 4 3 2 3 4 5 4 4 5 8 8 9 9 8 7 7 6 6 6 5 3 2 1 3 4 5 5 4 4 5 6 6 5 3 1 -1 -3 -4 -1 2 2 -1 -2 0 3 4 4 5 5 3 -1 -6 -9 -8 -3 1 2 3 4 5 6 4 -2 -6 -2 8 18 22 23 22 22 21 20 17 14 12 12 11 8 6 4 4 7 12 15 17 17 17 20 28 33 30 20 12 9 8 7 7 6 5 3 1 0 1 3 4 5 5 5 5 5 5 6 6 5 5 5 4 4 4 7 14 21 19 12 7 6 5 5 6 7 7 6 5 6 7 6 5 3 3 5 6 6 6 6 5 4 4 4 4 5 2 -4 -10 -9 -2 3 4 4 4 4 4 4 5 6 6 6 5 5 5 6 6 6 6 6 6 7 7 7 8 8 9 9 8 6 5 4 4 3 3 3 3 2 2 2 2 2 3 4 5 6 7 8 8 9 8 7 7 7 7 6 6 6 6 6 5 4 3 2 1 1 2 3 3 4 6 6 6 5 3 3 5 5 4 3 3 4 4 5 4 4 5 6 6 6 6 6 6 6 6 6 5 4 3 4 5 9 14 21 23 20 13 8 6 6 9 12 13 13 13 13 13 12 11 11 11 11 10 9 9 8 8 8 8 7 6 4 4 3 3 3 3 3 4 6 7 7 7 6 5 4 3 3 4 5 5 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 2 2 3 6 9 12 13 11 8 5 3 3 4 4 4 4 4 5 5 6 6 6 nan
nan 7 7 7 7 7 6 6 6 5 5 5 5 5 6 6 5 4 4 3 3 2 2 2 2 2 3 3 4 4 4 4 4 4 4 4 4 3 2 1 0 1 3 5 5 5 5 6 6 5 4 4 3 3 3 3 4 4 5 5 5 5 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 3 4 5 5 6 6 5 4 3 4 4 5 5 5 5 4 5 5 5 5 5 5 5 6 6 6 5 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 6 5 4 4 4 4 5 5 5 6 7 7 6 4 4 3 3 4 4 5 6 6 5 4 4 4 5 5 4 4 4 4 4 4 4 3 3 3 2 2 1 1 0 -1 -1 -1 -1 -1 0 1 2 3 3 4 4 4 4 4 5 5 5 6 6 6 6 6 7 7 7 7 8 8 9 11 16 23 28 24 18 16 16 15 11 8 7 7 5 3 1 2 4 6 6 7 7 8 8 8 9 10 9 9 11 12 10 7 4 2 2 4 5 5 4 4 4 6 7 7 5 3 2 1 -1 -1 1 4 5 2 -2 -2 0 3 5 6 5 2 -2 -5 -6 -4 -1 0 1 3 6 8 6 1 -6 -6 3 15 23 23 19 15 13 12 11 10 10 10 10 10 9 9 7 6 6 8 9 9 8 9 14 26 37 36 24 14 11 11 10 8 5 3 2 1 1 2 3 4 5 5 5 4 4 5 5 6 6 6 6 5 4 4 5 10 18 21 15 9 7 5 5 6 7 7 5 5 6 7 7 6 5 4 4 5 5 6 6 5 5 5 4 5 5 4 -2 -9 -11 -5 2 4 4 4 4 4 4 5 6 6 6 5 5 5 5 5 5 5 5 6 7 8 8 8 8 9 9 8 6 5 4 4 3 3 3 3 2 2 2 2 2 3 4 5 6 6 7 8 8 7 7 6 7 7 6 6 6 6 6 5 5 4 3 2 2 2 2 3 4 5 6 6 5 4 3 4 6 5 4 4 5 6 6 5 4 5 6 6 6 6 6 6 6 6 7 7 7 7 8 9 10 12 14 15 14 11 7 5 4 5 8 10 10 9 8 8 7 8 9 10 11 10 10 9 9 8 8 7 6 5 4 3 3 3 3 3 4 5 6 7 7 7 6 5 4 3 3 4 5 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 2 2 3 6 9 11 11 9 6 3 2 3 4 4 5 5 5 5 6 6 6 6 nan
nan 7 8 8 8 8 7 6 6 6 6 6 6 7 8 7 6 5 4 3 3 3 2 2 2 2 2 3 3 4 4 4 4 4 4 4 4 3 2 1 0 1 4 5 6 5 6 6 6 5 4 3 2 2 2 3 4 4 5 5 5 5 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 3 3 3 4 5 5 5 5 4 4 4 4 4 4 5 6 6 6 6 6 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 4 3 3 4 5 6 6 6 6 6 5 4 3 4 4 4 5 5 6 5 5 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 3 3 2 1 1 -0 -1 -1 -2 -1 -1 0 2 3 3 3 4 4 4 4 5 5 6 6 6 6 6 7 7 7 7 8 8 8 9 10 13 18 23 23 18 13 12 11 9 7 6 5 3 0 -1 0 3 6 8 9 8 7 5 4 4 6 8 9 10 9 7 4 3 3 5 7 7 5 3 2 3 4 4 4 3 3 3 3 2 2 3 5 5 2 -2 -2 -0 2 4 5 5 3 1 -1 -1 -1 0 1 4 7 8 8 4 -4 -8 -1 10 19 22 19 15 11 9 9 8 8 8 9 10 11 12 13 12 9 7 7 7 6 4 2 5 14 26 29 20 13 13 16 15 11 5 2 1 1 2 2 3 4 4 4 4 3 3 3 4 5 5 5 5 4 3 4 4 6 13 18 17 14 10 7 6 7 7 6 5 5 5 6 7 7 6 6 5 5 6 6 5 5 6 5 4 5 6 4 0 -7 -11 -6 1 4 4 4 4 5 5 5 5 6 6 6 5 5 5 5 5 4 4 5 7 8 8 7 7 7 8 7 6 5 4 4 3 2 2 3 2 2 2 2 3 3 4 5 6 6 7 8 8 8 7 7 6 6 6 7 7 7 7 6 5 4 3 2 2 1 2 3 5 6 6 6 6 5 4 4 5 5 5 5 6 6 6 5 5 6 8 8 8 7 7 6 6 7 7 7 9 12 14 14 11 8 8 10 11 10 7 4 2 3 5 7 7 6 4 3 3 6 8 10 11 11 10 10 9 8 8 7 5 5 4 4 3 3 4 4 5 6 7 7 8 7 6 6 4 3 3 3 4 5 4 4 4 4 4 3 3 3 3 3 3 4 3 3 3 3 4 4 3 3 2 3 4 6 9 10 10 8 5 3 2 3 4 5 5 5 5 5 6 6 6 5 nan
nan 7 8 9 8 7 6 5 5 6 6 6 7 8 9 9 8 6 5 4 4 3 3 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 1 1 1 3 5 6 6 6 6 6 5 4 3 2 2 2 2 3 4 4 4 4 4 4 3 3 3 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 4 4 3 2 2 3 4 5 5 5 4 4 4 4 4 5 5 6 6 6 6 6 5 4 4 4 5 5 5 5 4 5 5 5 5 4 4 4 5 5 5 4 3 3 3 4 5 6 6 6 6 5 5 4 4 4 4 5 5 5 5 5 4 4 4 4 5 5 5 5 4 5 5 5 5 5 5 5 4 4 3 2 2 1 -0 -1 -1 -2 -1 -0 1 2 3 3 4 4 4 4 5 5 6 6 6 6 6 7 7 8 8 8 8 8 9 9 10 11 13 14 12 9 7 5 4 4 2 1 -0 -0 -0 0 2 4 6 7 7 5 2 -0 0 3 6 6 5 3 2 2 4 6 8 9 8 6 4 2 2 3 3 2 2 2 3 3 3 3 4 5 3 0 -1 0 2 3 4 4 6 5 4 2 2 3 3 4 7 8 8 6 -1 -8 -6 5 14 17 16 13 10 9 8 8 8 8 7 8 8 9 10 12 13 10 8 8 8 7 5 3 3 6 13 15 10 9 14 19 19 12 5 2 2 3 2 3 3 4 4 4 3 3 2 3 3 4 4 4 4 3 3 4 4 5 7 11 14 15 14 11 9 9 8 7 7 7 6 6 6 7 7 7 6 6 6 6 5 6 7 7 5 5 6 4 1 -5 -9 -5 1 4 4 4 4 5 5 5 5 6 6 6 5 5 4 5 5 5 4 5 7 8 8 7 6 6 6 6 5 4 4 3 3 2 2 2 3 3 3 3 3 4 5 5 6 6 8 9 10 10 9 7 6 5 6 6 7 7 7 6 5 3 2 1 1 1 2 4 5 6 6 6 6 5 5 5 5 5 5 5 5 6 5 5 6 7 8 8 9 9 8 7 7 7 6 6 11 17 20 17 10 6 6 9 10 8 6 3 2 3 5 7 8 7 7 7 7 8 9 11 12 11 10 10 9 8 7 6 5 4 4 4 4 4 5 6 6 6 7 7 7 7 6 6 4 3 3 3 4 5 4 4 5 4 4 3 3 2 3 3 4 4 3 3 3 3 4 4 3 3 3 3 4 6 8 9 9 7 4 2 2 3 4 5 5 5 5 5 5 5 5 5 nan
nan 6 7 7 7 6 5 5 5 5 5 5 7 8 9 10 9 8 6 5 4 4 3 3 2 2 2 1 2 2 2 3 3 3 2 3 2 2 2 2 3 5 6 6 6 6 6 6 4 3 2 2 2 2 3 4 4 5 4 3 3 2 3 3 3 4 5 4 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 4 4 3 2 2 3 5 5 5 5 5 4 4 5 5 4 5 5 5 5 6 5 5 5 4 4 4 5 5 5 4 4 5 5 5 4 4 5 5 6 5 4 3 3 4 5 6 6 6 6 6 5 4 4 4 4 5 5 5 5 5 5 4 4 4 5 5 4 4 5 5 5 6 6 6 6 6 6 5 5 4 4 3 2 1 -0 -1 -1 -1 -1 0 2 3 3 4 4 4 5 5 6 6 6 6 6 6 7 7 8 8 9 9 9 9 9 9 8 6 6 6 6 4 2 2 1 -0 -1 0 2 2 2 3 4 4 4 4 3 2 2 3 5 6 5 4 2 4 7 9 9 8 8 7 6 4 3 2 3 4 4 3 3 3 3 3 4 5 6 4 1 0 3 4 4 3 6 9 10 8 7 6 6 6 6 6 5 3 -1 -8 -12 -3 9 15 14 10 8 7 7 7 7 8 7 7 7 7 7 7 9 10 9 8 8 9 9 9 8 7 6 7 7 5 7 14 19 18 12 6 4 4 4 4 4 4 3 3 3 3 2 3 3 3 3 4 4 4 2 2 3 3 4 5 6 8 11 13 12 10 10 9 9 10 10 8 7 7 8 9 8 6 6 6 6 6 7 8 8 7 6 6 5 1 -4 -6 -2 2 4 4 4 4 4 5 5 5 5 6 6 6 5 4 4 5 5 5 5 6 7 7 7 6 5 5 5 5 4 4 3 2 1 1 2 3 3 4 4 4 4 5 6 6 7 8 9 11 11 10 8 5 5 5 6 6 6 6 5 4 3 1 0 0 1 2 4 6 7 8 7 5 5 5 5 4 4 4 4 4 4 4 5 6 8 9 10 10 10 9 8 8 6 5 7 13 20 20 15 7 5 7 9 9 7 4 3 3 5 7 8 9 10 11 14 15 13 12 13 13 11 10 10 9 8 7 6 5 4 4 4 4 5 6 7 7 7 6 6 6 6 6 5 4 3 3 3 4 4 4 5 5 5 4 3 2 2 3 3 4 4 3 3 3 3 4 4 3 3 3 3 4 6 7 9 8 6 4 3 3 4 4 4 5 5 5 5 5 5 5 5 nan
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nan 11 12 12 13 13 13 12 11 10 9 8 8 7 7 6 6 6 7 9 12 13 14 13 12 11 12 13 15 16 17 18 15 13 10 7 5 4 5 6 7 8 9 11 12 12 12 13 13 14 14 14 14 14 14 14 13 13 13 13 13 13 13 13 14 15 16 17 17 18 18 18 19 18 18 17 16 16 17 16 16 15 14 14 13 13 14 14 15 16 17 18 18 19 18 17 15 13 11 11 10 9 9 9 9 9 10 11 12 13 14 14 14 14 13 13 13 13 12 12 13 12 12 12 12 12 12 11 10 9 9 9 9 9 10 10 10 10 11 11 10 10 9 9 9 8 9 10 12 14 15 17 18 18 17 16 16 15 14 14 13 14 14 14 14 14 14 14 14 14 14 15 15 15 14 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 13 12 12 11 12 12 11 12 12 12 11 11 11 11 12 12 13 14 15 14 12 10 9 9 10 11 11 11 11 11 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 15 16 14 11 8 6 7 9 11 13 15 15 13 10 8 7 8 10 11 12 12 13 13 13 13 14 13 12 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 12 12 12 12 13 13 13 14 14 15 15 14 13 12 11 10 9 8 7 6 6 7 8 8 8 7 6 4 3 2 3 4 6 8 9 11 14 16 18 17 17 15 12 11 10 10 10 10 10 10 10 11 11 12 12 13 13 12 12 12 12 11 11 11 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 14 14 15 16 16 17 18 18 17 17 16 16 17 18 19 21 23 25 28 31 33 35 34 32 28 25 24 24 23 20 17 15 13 12 12 11 11 10 10 8 6 5 2 0 0 -1 -1 -1 1 4 7 11 14 15 14 14 13 12 12 13 14 15 13 11 7 4 4 5 7 8 9 10 9 9 9 10 10 11 11 11 11 11 12 12 11 11 11 11 10 10 10 10 11 11 11 11 11 10 9 8 8 8 8 8 8 9 10 10 11 11 12 12 12 13 14 15 15 16 16 15 13 11 10 10 11 11 12 13 14 14 13 12 12 12 12 12 13 13 14 15 15 14 13 11 10 10 10 11 12 nan
nan 11 11 11 11 11 11 10 9 8 7 6 6 6 6 6 5 5 5 6 8 9 11 12 13 13 14 15 16 16 16 15 13 10 8 6 5 5 6 7 8 9 10 11 12 13 13 14 15 15 15 15 15 14 14 13 13 13 14 15 16 17 18 19 19 19 19 18 17 16 16 16 16 16 16 16 16 16 16 17 17 16 14 13 12 12 12 13 13 13 14 15 15 15 15 15 14 12 12 12 12 11 11 10 10 10 10 10 11 12 13 14 14 14 13 12 12 11 11 10 10 10 10 10 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 12 13 14 15 16 17 17 17 16 16 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 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 11 12 12 13 15 17 17 15 12 10 7 7 8 10 11 11 11 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 12 12 11 11 11 11 12 12 12 11 11 11 11 12 12 12 12 12 12 11 12 11 11 11 11 12 13 13 13 11 10 10 12 13 16 18 17 13 8 4 4 7 9 12 12 13 13 14 15 15 15 15 13 12 11 10 10 11 11 11 11 11 11 11 11 12 12 11 12 12 13 13 13 13 12 12 12 13 13 14 14 14 14 14 13 13 12 11 10 10 9 8 8 8 8 7 7 7 6 5 3 2 1 1 3 4 6 8 10 11 13 15 17 18 17 16 14 11 10 10 10 10 10 10 10 10 11 11 12 12 12 13 12 12 12 12 11 11 11 12 12 12 13 13 13 13 13 13 12 12 12 13 13 13 13 14 14 14 14 14 15 16 17 17 17 18 18 18 18 18 18 19 20 22 24 27 30 32 32 31 29 28 27 27 26 23 19 17 14 13 12 12 11 11 10 9 8 7 5 2 0 -2 -3 -3 -0 3 5 9 11 12 13 14 13 13 13 14 15 15 14 11 9 8 8 9 10 10 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 10 9 9 8 9 9 9 10 10 10 10 10 11 11 11 12 12 14 15 16 16 16 15 14 11 10 10 11 11 11 12 12 12 12 12 11 11 11 11 12 13 14 15 14 13 12 10 9 8 9 11 12 nan
nan 8 8 8 7 7 7 6 6 5 5 5 5 5 6 6 7 6 7 7 7 8 9 11 13 14 16 17 17 17 16 14 11 9 6 5 4 5 6 7 8 9 11 11 12 13 13 14 14 14 14 14 13 13 12 12 12 12 13 15 16 18 20 21 21 20 19 18 17 15 14 14 14 14 14 14 14 14 15 16 16 15 14 13 12 11 11 11 11 12 12 13 14 14 14 14 14 13 13 13 13 13 12 12 11 10 10 10 11 11 12 13 13 13 12 11 11 10 10 9 9 9 10 10 11 12 13 13 14 13 13 13 13 13 13 12 12 12 12 12 12 11 11 12 12 13 14 15 15 16 16 16 16 16 15 15 14 15 15 15 15 14 14 14 14 14 14 14 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 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 12 12 12 12 12 13 14 17 20 20 19 16 12 7 5 6 7 9 11 12 12 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 12 12 12 12 12 12 12 12 12 11 11 10 10 10 11 11 12 12 12 11 11 11 11 11 11 11 12 12 11 11 11 11 12 13 15 18 20 17 13 8 6 6 9 11 12 12 12 13 14 15 16 17 16 15 13 11 11 10 10 10 10 10 10 10 11 12 13 13 12 12 12 12 12 12 12 11 11 12 13 13 13 13 13 12 12 11 11 10 10 9 9 8 8 8 8 7 7 5 3 2 1 -0 0 1 3 5 7 8 10 10 11 14 16 18 18 17 15 12 10 10 10 10 10 10 10 10 10 11 11 12 12 13 13 13 12 12 12 11 11 11 11 12 12 13 13 13 13 13 13 12 12 12 13 13 13 13 14 14 14 14 14 14 15 15 16 17 17 18 19 20 19 18 19 19 20 22 24 27 28 30 31 30 30 30 29 27 24 21 18 15 14 13 13 12 12 11 10 10 8 5 3 -1 -4 -4 -2 1 4 7 10 10 11 11 12 13 13 14 14 14 14 13 12 11 11 10 11 11 12 12 12 11 11 10 10 11 12 13 13 13 12 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 10 10 10 9 10 10 10 10 10 10 10 11 11 12 12 13 14 15 15 15 14 13 12 12 12 12 12 12 12 12 12 11 11 10 10 10 11 11 12 12 12 12 11 10 9 8 8 9 10 12 nan
nan 6 6 5 4 4 4 4 5 5 5 4 4 5 6 7 9 11 12 13 13 13 14 15 16 17 18 18 17 16 15 13 11 8 7 5 3 4 4 5 6 8 10 11 12 13 14 14 14 13 13 13 12 12 12 12 12 12 13 15 16 17 19 19 19 19 18 17 16 15 14 13 13 13 13 13 13 13 14 14 14 14 14 14 13 12 12 12 12 12 12 13 14 15 15 15 15 15 15 15 14 14 13 12 11 10 10 10 10 10 11 12 13 13 12 11 11 10 10 10 10 11 11 12 14 14 15 15 15 15 15 15 15 15 14 14 13 12 12 12 12 12 12 12 13 14 14 15 15 15 15 14 14 14 14 14 14 14 14 14 14 14 14 14 13 14 14 14 14 14 13 13 13 13 13 13 13 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 12 12 13 13 13 13 13 12 12 13 13 13 14 17 19 21 21 20 16 12 8 6 5 6 8 11 12 13 13 12 12 11 11 11 10 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 13 13 12 12 12 11 11 10 10 10 11 12 12 13 12 12 10 10 10 10 11 12 13 13 13 12 11 11 11 13 15 17 17 15 12 10 10 11 12 12 12 12 13 14 15 15 16 16 16 15 13 12 11 10 10 9 9 9 9 10 11 13 14 14 13 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 8 8 8 7 7 7 6 4 3 1 1 1 2 4 5 7 8 9 10 10 11 12 15 17 18 18 16 14 11 10 10 10 10 10 10 10 10 10 11 11 12 12 13 13 13 13 12 12 12 11 11 11 12 13 13 13 13 13 13 12 12 12 12 12 13 13 13 14 14 14 14 14 14 14 14 15 15 16 17 18 20 21 20 20 20 20 21 22 24 26 29 31 31 32 32 31 28 26 24 20 17 16 14 13 13 12 11 11 10 9 7 4 -1 -4 -4 -1 2 5 9 10 11 11 11 11 11 12 13 14 12 12 11 12 12 12 11 11 12 12 13 12 10 9 8 7 8 10 12 13 14 13 12 12 11 11 11 11 11 10 10 9 9 10 11 11 11 11 11 10 10 10 9 9 9 8 8 8 8 9 10 11 12 13 14 14 14 13 13 13 12 13 13 13 13 13 13 13 13 13 12 11 10 10 10 10 10 11 11 11 10 10 9 9 9 9 10 10 11 nan
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nan 6 6 5 5 5 6 7 9 10 11 10 9 8 7 8 9 10 12 14 15 16 17 17 16 16 15 14 13 12 11 11 10 10 9 8 9 8 7 7 7 8 10 11 12 12 12 12 12 11 11 11 11 12 12 13 14 15 16 16 17 17 17 17 17 16 16 16 16 15 15 14 14 13 13 13 13 13 13 14 14 15 15 15 15 15 15 15 15 16 18 18 18 17 17 16 16 16 15 15 14 13 12 12 11 10 10 10 10 11 11 12 12 12 12 12 12 12 13 13 14 14 15 16 16 17 17 16 16 16 16 16 16 16 15 15 14 13 12 12 12 12 12 13 13 13 13 12 11 10 9 9 9 10 11 12 12 12 11 11 11 12 13 13 14 14 15 15 14 14 13 13 13 12 12 12 12 12 12 12 12 12 12 11 11 11 11 10 11 11 11 12 12 11 11 11 12 12 12 12 12 12 12 12 12 12 12 13 13 12 12 12 13 13 13 14 14 14 14 14 16 19 20 19 15 11 5 3 6 9 12 13 13 12 11 11 10 10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 13 14 14 14 13 12 11 10 10 11 13 14 15 16 15 13 11 9 8 7 8 10 12 13 14 14 13 12 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 14 15 15 15 14 14 13 13 12 11 10 9 9 9 9 10 11 12 12 13 14 14 13 12 11 11 11 10 10 10 9 9 9 9 9 9 8 7 6 5 4 3 2 1 0 0 0 1 3 5 6 8 9 9 9 9 10 10 10 10 11 12 15 17 18 18 17 14 12 10 9 9 9 10 10 10 10 10 10 11 11 12 13 13 13 13 13 12 12 12 12 12 12 12 13 13 14 13 13 13 12 12 12 12 12 12 12 13 13 13 14 14 14 15 15 14 14 14 14 14 15 16 18 19 21 23 23 23 24 23 24 26 27 29 31 32 32 32 30 28 25 24 21 18 16 15 14 13 12 11 10 7 2 -3 -4 -3 0 4 7 8 8 9 10 10 10 11 12 13 12 12 11 11 11 12 12 12 12 13 13 13 13 13 12 10 7 7 8 9 11 12 12 12 12 12 12 11 11 11 11 11 10 10 10 10 11 12 11 10 10 9 9 10 10 9 8 7 6 5 6 8 10 12 14 15 14 12 11 10 10 11 13 14 15 14 13 12 13 13 13 13 13 13 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 nan
nan 4 5 5 7 7 7 8 8 9 9 10 10 9 8 7 5 4 5 6 8 10 11 12 12 11 11 10 9 9 8 7 7 7 7 8 9 10 10 10 10 10 11 11 12 12 12 12 11 11 11 11 12 12 13 14 14 15 16 17 18 18 18 17 17 17 16 16 16 15 15 15 14 14 13 13 13 13 13 13 14 14 15 15 15 15 15 16 16 18 19 20 19 19 17 16 16 15 15 14 14 13 12 12 11 10 10 10 11 11 11 12 12 13 13 13 13 13 14 14 13 13 13 13 13 14 14 13 13 13 14 14 14 15 15 14 14 13 13 13 13 13 14 14 14 13 12 11 9 8 7 7 7 7 9 9 10 10 10 10 11 11 12 13 13 14 14 14 14 13 13 13 13 12 12 12 12 11 12 12 12 12 12 12 11 11 11 11 10 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 13 12 13 13 13 13 14 14 14 13 13 15 18 21 22 19 14 7 2 3 4 9 12 12 12 12 11 11 11 11 11 11 11 12 12 12 11 11 12 12 12 12 13 13 13 13 14 15 15 14 12 11 10 10 12 14 16 16 16 14 13 11 11 10 9 9 10 11 12 13 12 12 11 11 10 10 10 9 9 9 10 10 11 11 11 11 12 12 12 13 13 13 13 13 13 13 13 13 12 12 11 11 10 10 10 9 9 9 9 11 12 13 12 12 12 11 11 11 10 10 9 9 9 9 9 9 7 6 4 3 2 1 1 1 1 2 2 4 6 8 9 10 11 11 10 10 10 10 10 10 11 13 16 17 18 18 16 13 11 10 9 9 9 10 10 10 10 10 10 11 11 12 13 13 13 13 12 12 12 12 11 11 12 12 13 13 14 13 13 13 12 12 12 11 11 12 12 12 12 13 13 14 14 14 15 15 15 14 14 14 14 14 15 17 19 21 23 25 25 25 25 26 26 28 30 30 31 32 31 30 28 27 23 20 19 17 15 14 13 12 11 6 -0 -3 -4 -3 1 4 7 8 9 9 9 9 10 10 11 11 11 11 12 12 12 13 14 14 14 14 14 14 14 13 12 10 9 8 8 9 10 11 11 11 11 11 11 10 11 11 10 10 10 10 10 10 11 11 12 12 11 11 10 11 11 11 10 9 8 7 8 9 10 11 11 11 10 9 10 10 11 13 14 14 14 13 12 12 11 12 13 13 13 13 13 12 12 12 12 11 11 11 11 11 11 11 11 11 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 75 85 85 82 72 60 48 38 33 35 40 42 28 36 58 51 40 37 35 36 43 51 54 48 45 59 69 61 47 41 38 37 37 37 40 31 26 33 24 23 27 25 17 14 14 15 17 24 25 18 14 12 9 6 5 5 6 8 9 10 9 8 7 6 5 6 8 8 6 5 5 5 6 6 7 8 9 9 11 13 13 12 11 10 9 12 15 15 14 15 14 13 10 9 10 12 13 12 12 11 10 9 9 7 4 3 4 7 9 8 6 5 6 7 7 7 6 5 4 4 4 4 4 4 4 3 3 2 2 2 2 2 2 1 2 2 1 2 3 4 5 4 2 1 0 0 0 0 0 0 19 338 963 1596 1991 2136 2164 2103 1816 1226 541 118 12 1 8 45 62 39 25 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 3 5 5 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 14 16 18 20 22 29 38 40 36 38 42 45 47 47 47 46 45 40 36 36 38 39 41 44 45 41 36 34 33 33 34 34 35 36 37 38 39 40 42 46 43 41 41 40 38 34 31 31 32 32 31 29 28 27 25 24 22 22 22 24 24 23 23 23 21 18 17 19 20 20 20 20 20 20 22 23 25 26 28 26 26 28 28 27 29 30 28 26 25 25 26 27 26 24 22 19 21 21 21 19 18 17 17 18 21 25 27 24 18 16 40 291 775 1207 1431 1471 1467 1520 1651 1800 1888 1928 1954 1995 2017 2044 2090 2155 2208 2221 2033 1760 1637 1682 1815 1960 2036 2050 2040 1998 1894 1677 1443 1179 931 733 561 405 375 586 893 1275 1468 1539 1422 1443 1680 2004 2475 2897 2922 2513 1953 1498 1211 1086 1133 1672 2175 2362 2510 2715 2906 3052 3198 3296 3231 2906 2678 2599 2561 2460 2137 1733 1369 1224 1227 1228 1145 996 889 869 958 1186 1844 2322 2199 1910 1648 1553 1405 1250 1375 1512 1427 1869 2129 1901 1804 2114 2469 2834 3121 2940 2399 2058 2152 2227 2295 2250 2129 2020 1931 1973 2157 2379 2649 2952 3112 3000 2754 2812 2908 2880 2775 2503 2104 1818 1735 1740 1721 1620 1534 1620 1973 2424 2659 2469 2208 2282 2687 3143 3316 3115 2874 2920 3039 3032 2936 2877 2765 2753 2827 2877 2856 2667 2519 2609 2864 2658 2075 1774 1902 2194 2358 2225 2046 2008 1862 1786 1777 1788 1788 1796 1746
82 80 82 87 91 85 71 53 39 32 34 40 39 34 46 65 56 45 49 47 44 45 48 48 45 48 61 60 46 40 41 40 37 32 29 32 35 31 30 20 20 31 30 23 19 18 16 16 20 23 18 12 10 7 5 5 6 6 7 8 8 9 8 7 6 6 5 7 7 5 6 6 6 5 6 7 7 8 9 12 13 13 13 12 11 10 13 15 15 15 14 13 10 8 8 10 12 12 13 12 10 10 9 7 5 3 3 4 7 8 7 5 5 7 8 8 6 5 5 4 4 4 4 4 3 3 2 2 2 2 2 2 2 1 1 1 1 1 1 2 3 3 2 1 0 0 0 0 0 0 4 82 580 1302 1827 2111 2241 2258 2069 1539 795 218 13 0 0 1 4 4 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 1 1 3 3 3 2 2 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 13 12 12 14 20 26 28 36 35 36 39 43 46 47 47 48 47 44 41 39 38 39 41 46 50 49 45 43 41 37 35 36 36 35 33 34 37 39 40 45 44 42 40 40 39 37 35 36 37 37 35 30 29 28 28 28 27 27 26 25 24 24 24 24 23 21 23 24 24 24 24 24 24 25 26 27 29 31 34 32 32 32 33 34 35 36 33 29 26 25 25 26 27 26 25 21 20 20 19 19 18 18 17 15 14 17 21 23 21 17 22 105 311 627 951 1211 1419 1563 1640 1711 1803 1910 1983 2032 2053 2037 2020 2107 2234 2335 2274 2050 1847 1818 1932 2066 2107 2080 2064 2073 1892 1659 1429 1182 943 739 583 456 365 534 822 1168 1426 1501 1483 1508 1620 1813 2206 2680 2903 2723 2242 1673 1273 1223 1329 1794 2225 2453 2567 2671 2780 2953 3130 3181 3143 2861 2518 2348 2321 2464 2390 2101 1745 1495 1386 1340 1269 1089 957 888 916 1039 1354 1954 2079 2083 2042 1853 1521 1206 1484 1523 1272 1602 1975 2244 2319 2519 2808 3083 3276 3170 2671 2105 2108 2029 2046 2079 2118 2133 2153 2151 2178 2275 2457 2770 3002 2878 2639 2626 2733 2796 2798 2665 2394 2142 2049 2058 2083 1884 1646 1725 2188 2695 2860 2686 2449 2360 2500 2979 3226 3093 2883 2881 3032 3049 2948 2840 2750 2663 2575 2693 2826 2655 2271 2227 2493 2507 2245 2024 1928 1919 2198 2177 1893 1937 1826 1761 1689 1581 1510 1510 1485
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92 82 76 72 63 56 52 46 41 42 55 65 71 72 74 75 78 80 76 71 71 66 68 76 67 68 62 51 43 41 40 37 32 31 30 30 39 44 38 29 32 40 32 37 28 24 20 18 17 14 10 7 6 5 5 5 6 6 6 6 6 7 7 7 6 6 7 7 7 6 5 6 6 6 6 6 6 10 12 13 13 11 10 9 9 10 13 15 15 14 12 9 6 6 8 10 12 12 12 11 11 11 7 4 2 3 5 7 8 8 7 4 4 6 7 7 5 4 4 4 4 4 4 4 4 3 2 2 2 2 2 1 1 1 0 0 0 1 2 2 1 0 0 0 0 0 0 0 0 4 114 531 1240 1840 2096 2217 2305 2197 1710 893 249 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 0 1 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 11 13 18 27 29 30 34 42 44 42 41 42 43 44 44 44 45 45 42 42 43 46 50 51 53 53 53 50 47 45 43 42 41 41 41 42 42 41 39 37 37 38 39 40 39 40 42 47 46 43 40 37 34 32 31 30 30 29 29 29 29 26 24 23 22 21 23 26 29 31 32 32 34 37 40 42 43 44 45 46 47 48 48 46 45 43 39 33 26 23 24 24 24 24 24 22 22 21 20 19 18 18 18 17 15 14 16 18 20 30 46 53 96 228 452 739 1051 1360 1671 1910 2088 2113 2080 2157 1900 1656 1691 1984 2323 2559 2678 2516 2253 2135 2189 2199 2133 2032 1883 1692 1495 1307 1129 951 772 596 495 473 527 859 1301 1424 1335 1345 1434 1558 1759 2084 2548 3013 3078 2728 2154 1707 1572 1730 2108 2429 2549 2547 2529 2668 2807 2952 3108 3130 3032 2787 2509 2304 2287 2449 2641 2615 2215 1898 1611 1396 1242 1183 1131 1012 934 1001 1246 1563 1794 1971 2212 2187 2032 1965 1689 1310 1334 1687 2185 2766 3222 3468 3639 3517 3243 2885 2527 2251 2057 2009 2131 2306 2353 2225 2058 2090 2140 2267 2367 2433 2445 2380 2317 2362 2427 2440 2467 2496 2305 2199 2446 2832 2959 2633 2252 2238 2589 2912 2995 2923 2568 2361 2472 2745 2885 2826 2755 2777 2781 2717 2582 2411 2140 2037 2036 2261 2524 2501 2252 2024 2048 2290 2225 2085 1994 2038 2042 2084 2058 1932 1828 1617 1464 1294 1234 1342
80 79 79 78 75 70 64 60 54 56 65 67 72 75 71 74 78 79 77 77 77 75 78 81 83 77 64 52 44 40 37 35 32 32 33 30 34 44 36 25 28 32 28 29 29 23 21 19 16 12 8 6 6 5 5 6 6 6 6 5 5 6 7 7 7 6 6 7 7 6 5 4 6 6 6 8 10 11 12 12 11 10 9 8 8 11 14 15 15 13 10 6 5 6 10 12 12 12 11 11 11 11 7 3 3 5 7 9 10 9 6 5 6 7 7 6 5 3 3 4 3 4 3 4 3 2 2 2 2 2 1 1 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 25 244 801 1508 1962 2167 2274 2289 2084 1487 635 132 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 1 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 9 10 13 18 26 28 29 36 41 44 42 41 43 45 45 46 47 47 44 45 50 50 52 51 53 55 56 55 52 49 47 47 45 44 44 45 45 44 43 41 39 39 40 41 40 42 44 49 48 47 44 42 40 37 35 33 32 32 32 32 31 27 25 24 22 23 25 27 30 31 32 33 35 36 38 39 41 42 42 42 43 44 45 44 42 41 40 36 30 24 24 24 24 25 24 23 22 22 22 20 19 18 17 17 16 14 13 16 18 25 40 54 70 115 222 407 649 916 1260 1739 2086 2242 2300 2280 2035 1835 1861 2057 2286 2445 2533 2397 2169 2012 2014 2040 1987 1866 1708 1545 1376 1194 1014 841 729 606 514 540 541 939 1261 1270 1161 1117 1201 1405 1640 1972 2463 2998 3117 2907 2438 1998 1805 1935 2276 2489 2461 2337 2289 2417 2663 2885 2964 3055 3070 2965 2760 2512 2351 2380 2557 2489 2290 2160 1846 1574 1348 1232 1171 1086 1011 997 1054 1172 1360 1555 1805 1983 2123 2195 2039 1571 1301 1452 1812 2364 3020 3411 3692 3553 3255 2938 2673 2394 2192 2206 2405 2549 2413 2085 1877 1984 2054 2137 2281 2375 2392 2398 2385 2421 2446 2438 2470 2437 2203 2003 2144 2637 3027 2967 2633 2453 2567 2801 2878 2888 2672 2390 2308 2420 2554 2659 2748 2752 2642 2533 2419 2286 2125 1989 1824 1899 2271 2529 2411 1992 1848 2056 2229 2117 1959 1956 2032 2102 2078 1946 1979 1826 1697 1490 1548 1566
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