Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 8 8 8 8 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 6 6 7 7 7 8 7 7 7 6 6 6 6 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 8 7 7 7 7 7 7 7 8 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 6 7 7 7 8 8 9 8 8 7 7 8 8 9 10 10 10 10 10 9 8 9 11 12 12 9 6 8 10 11 12 14 16 14 11 7 3 -0 -3 -4 -3 -2 2 5 8 11 14 18 20 19 16 12 10 8 7 6 6 6 5 5 6 6 6 5 5 5 6 5 4 4 5 7 9 10 12 15 19 21 18 14 11 10 10 11 11 11 11 12 14 17 19 18 15 13 11 10 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 6 6 7 7 8 nan
nan 8 9 9 9 8 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 6 7 7 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 9 10 10 10 9 8 8 8 8 8 8 8 8 7 7 7 6 7 7 7 8 8 8 8 8 8 8 8 8 8 9 10 10 10 10 10 9 9 9 11 12 12 10 7 6 9 12 12 12 13 13 10 5 1 -2 -4 -4 -4 -2 1 4 6 9 11 15 18 20 20 17 13 10 8 7 6 5 5 5 5 6 6 6 6 6 6 6 6 5 5 7 11 14 15 16 17 18 16 13 10 9 9 10 11 13 15 16 19 21 22 21 17 14 11 9 8 7 8 8 8 8 8 8 8 7 8 7 7 7 6 6 6 6 6 7 7 nan
nan 8 9 9 9 9 8 8 8 7 7 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 9 9 9 10 10 10 10 9 9 8 8 7 7 8 8 8 8 8 8 9 9 9 10 10 9 8 8 8 8 8 8 8 8 7 7 7 6 6 7 7 8 8 8 8 8 8 8 8 9 9 9 10 10 11 11 10 10 9 9 9 11 13 12 9 6 5 8 10 10 9 9 8 5 1 -3 -5 -5 -4 -2 0 3 5 8 10 12 15 18 20 20 18 15 11 9 7 6 5 5 5 5 5 6 6 7 7 8 8 7 6 8 11 15 18 17 15 12 10 9 9 9 8 8 8 9 12 15 18 21 22 20 17 14 11 9 7 6 5 5 6 6 7 7 7 7 7 7 7 6 6 6 5 5 5 6 6 7 nan
nan 9 9 9 9 9 9 9 9 8 7 7 6 6 6 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 10 9 8 7 7 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 7 7 8 8 8 9 9 10 10 10 10 11 11 11 10 10 9 9 9 11 11 10 8 6 5 6 7 6 4 2 1 -2 -5 -6 -6 -5 -2 0 3 5 7 9 11 13 15 17 19 19 18 16 13 11 8 6 5 5 5 5 5 6 7 8 9 10 10 10 11 13 16 19 18 14 9 5 4 6 8 8 7 5 5 5 8 11 15 17 17 15 13 10 9 6 4 2 2 2 4 5 5 6 6 6 7 7 6 6 5 5 5 5 6 7 7 7 nan
nan 10 10 9 9 9 9 9 9 8 7 7 6 6 6 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 8 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 11 11 10 9 8 7 8 8 8 8 8 8 8 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 8 8 9 9 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 9 8 7 6 6 6 5 4 1 -4 -7 -9 -9 -8 -5 -2 1 3 5 7 9 11 12 14 16 17 18 17 16 15 14 12 10 8 6 5 5 5 5 6 8 10 12 13 14 15 17 19 20 19 15 9 4 2 4 8 10 7 5 3 2 2 3 6 10 11 11 10 9 8 6 3 1 -1 -0 1 3 3 4 4 4 4 5 5 5 6 5 5 6 7 7 7 7 7 nan
nan 10 10 9 9 8 8 8 8 8 7 7 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 8 8 7 7 8 8 8 8 8 8 8 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 10 10 10 10 11 11 11 11 12 12 12 11 11 11 11 10 9 7 6 6 7 8 8 8 7 4 -3 -8 -9 -8 -5 -1 1 4 6 7 9 11 13 15 16 17 18 18 17 16 15 15 14 12 10 8 7 7 7 7 9 11 14 15 17 18 20 22 22 20 16 10 6 4 6 10 12 10 6 3 2 1 1 2 5 8 9 8 7 6 5 3 1 -1 -1 0 1 2 2 2 2 2 2 3 4 4 5 5 6 6 7 7 7 6 5 nan
nan 10 10 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 6 6 6 7 6 7 7 7 7 7 7 6 7 7 8 8 8 8 8 8 8 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 8 8 8 9 9 10 10 10 10 11 11 11 12 12 12 12 12 12 11 11 11 10 8 6 5 5 8 11 13 14 13 10 4 -1 -3 -2 0 3 4 6 7 9 11 14 16 17 18 19 19 18 18 17 17 16 16 15 13 12 10 10 10 12 15 17 18 19 19 21 22 22 20 16 12 10 9 11 13 15 13 9 5 3 4 4 5 7 10 10 9 7 6 5 3 1 -0 -1 0 1 1 1 0 -1 -1 -1 -0 1 2 3 4 5 5 6 6 6 5 4 3 nan
nan 9 9 9 9 9 9 9 8 8 7 7 7 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 7 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 8 8 8 9 9 9 9 9 10 10 11 11 12 12 13 13 13 13 13 12 12 11 10 9 7 5 4 5 9 13 14 14 14 12 9 6 4 4 5 6 6 7 9 11 13 15 18 19 20 19 18 17 18 18 18 18 18 18 17 16 15 15 17 19 22 22 22 20 20 20 19 18 17 15 14 15 16 17 18 16 12 9 7 7 8 10 13 14 14 12 8 6 5 3 1 -0 -0 0 1 0 -2 -3 -4 -4 -4 -4 -2 1 2 2 3 4 4 4 4 4 4 3 2 nan
nan 9 9 9 9 9 10 9 9 9 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 6 6 6 6 6 6 6 5 5 5 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 11 12 13 13 14 15 15 14 14 13 12 12 10 9 8 6 4 3 4 7 9 9 7 8 9 9 9 8 7 8 8 8 8 10 12 13 16 19 20 19 17 15 15 16 18 19 19 20 19 19 19 20 21 24 26 26 25 22 19 18 17 17 16 16 17 19 20 20 19 17 15 13 12 12 12 13 15 16 15 12 9 6 5 3 1 -1 -1 0 1 1 -2 -5 -7 -7 -7 -6 -4 0 4 4 3 3 3 3 3 3 3 2 2 2 nan
nan 10 9 9 10 10 10 10 10 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 6 6 6 6 6 7 7 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 8 9 9 10 11 12 13 15 16 16 16 16 15 14 13 13 11 9 8 7 5 4 3 3 4 4 4 4 6 8 9 10 9 8 8 8 8 9 11 12 13 15 18 20 18 15 13 12 14 16 18 19 19 20 20 21 23 25 27 27 25 22 19 17 15 15 16 16 17 18 19 19 17 14 13 13 15 17 18 17 16 15 13 10 6 4 4 3 2 0 -1 -0 1 1 -0 -3 -6 -6 -6 -6 -5 -1 4 8 7 4 3 3 3 3 2 2 2 2 2 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 7 7 7 7 7 7 7 8 8 8 8 8 9 9 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 11 12 13 14 15 17 18 19 18 17 16 14 13 12 10 8 7 5 4 3 3 4 5 7 9 12 13 13 12 11 9 8 8 9 10 11 11 11 13 15 18 20 17 13 10 10 11 13 15 17 17 18 20 21 22 23 24 22 20 17 14 13 13 13 14 14 15 14 13 11 8 7 7 11 15 18 20 19 15 11 7 2 1 2 3 4 3 2 1 1 1 -1 -2 -3 -3 -1 -1 -2 -1 3 9 11 9 5 3 2 2 2 2 3 3 3 3 nan
nan 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 9 8 8 9 9 9 9 9 9 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 12 13 14 15 16 17 19 20 20 19 18 16 14 12 10 9 7 6 4 3 3 3 5 7 12 18 21 20 16 12 9 8 8 9 11 12 11 10 10 12 15 18 18 16 12 9 8 9 10 12 13 14 16 17 18 18 19 18 17 15 13 11 10 10 10 10 10 9 7 4 2 1 2 4 9 14 17 17 14 9 4 -1 -3 -1 2 4 5 4 4 3 1 -2 -4 -5 -3 1 4 4 2 3 7 11 12 9 6 3 2 2 2 3 3 4 3 3 nan
nan 10 10 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 8 8 10 11 12 13 15 16 17 18 19 20 21 20 19 17 15 12 10 8 6 6 6 4 2 2 3 5 9 15 21 21 17 11 8 8 8 10 12 13 12 10 8 10 13 16 17 17 14 11 8 7 8 9 10 11 12 13 14 14 14 14 13 12 11 10 9 8 7 7 8 8 7 4 1 -1 0 3 7 10 12 13 10 6 -0 -4 -5 -4 -0 3 4 4 4 5 4 1 -3 -7 -6 -2 3 7 8 7 7 9 11 11 8 6 4 3 3 3 3 3 4 4 3 nan
nan 10 10 9 10 10 10 9 10 10 10 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 7 7 8 8 9 9 9 9 9 10 9 9 9 9 9 9 8 8 8 8 8 8 9 10 11 13 14 15 16 18 19 20 21 21 20 19 17 15 13 10 7 5 4 5 6 4 2 1 3 6 9 13 14 11 6 5 7 11 13 14 13 12 9 7 8 10 15 17 17 16 14 12 10 9 9 9 9 9 10 10 11 11 11 11 10 9 9 8 7 7 7 8 9 10 9 7 5 6 8 11 12 11 9 7 2 -3 -7 -7 -6 -3 -0 1 0 1 3 5 5 3 -1 -5 -5 -0 5 8 9 9 9 9 9 9 7 6 6 5 5 4 4 4 5 4 4 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 9 9 9 9 8 8 8 7 7 8 8 9 9 9 10 10 10 10 10 10 9 9 8 8 8 8 8 8 9 10 12 13 14 16 17 18 19 20 21 22 21 18 16 14 12 9 6 4 2 3 4 6 5 3 2 3 6 8 7 2 -2 -1 5 13 18 19 16 11 7 6 6 9 13 17 18 18 17 16 15 13 11 10 9 8 8 8 8 9 9 9 9 9 9 8 7 7 8 9 10 11 11 11 11 11 13 15 15 13 9 5 2 -3 -6 -6 -4 -3 -3 -4 -5 -4 -2 1 4 6 6 3 -0 -2 1 5 8 10 11 10 9 8 7 7 7 8 8 7 6 5 5 5 4 4 nan
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nan 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 9 9 9 8 8 8 8 9 9 9 9 9 8 8 7 7 7 8 8 9 9 10 10 10 10 10 10 9 8 8 8 8 8 8 9 12 14 15 16 17 18 19 19 19 19 19 19 19 16 12 9 8 6 4 2 1 1 3 6 7 6 5 4 5 5 4 2 0 4 13 21 23 19 12 5 1 1 4 10 14 18 20 22 22 22 21 18 14 11 7 5 4 4 5 6 6 7 8 8 8 8 9 9 9 8 7 6 5 4 4 5 5 5 4 3 2 2 1 0 0 2 4 3 -1 -6 -8 -8 -5 -2 1 4 8 10 10 8 5 4 6 8 11 12 12 11 9 7 7 8 8 8 8 8 9 9 7 6 5 nan
nan 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 9 9 9 8 8 8 8 9 9 9 9 9 8 8 7 7 7 7 8 9 9 10 10 10 10 10 9 9 8 8 8 8 7 8 10 12 14 15 17 18 19 19 19 17 15 14 14 14 12 9 7 7 6 5 5 5 5 5 7 8 8 8 8 10 13 13 12 12 15 19 21 17 11 4 0 -0 2 6 11 16 19 21 22 22 21 19 16 11 7 5 3 3 3 4 6 6 7 7 7 7 6 7 6 6 4 2 1 0 -0 1 1 1 -0 -1 -0 1 2 2 2 4 4 5 3 -1 -4 -6 -5 -2 2 5 8 10 12 13 11 8 7 7 8 10 11 11 11 10 8 8 9 9 9 9 10 10 10 8 7 6 nan
nan 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 9 10 10 10 10 10 10 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 10 11 13 14 17 19 19 18 17 14 10 8 8 8 8 7 6 6 6 7 8 8 8 7 7 7 9 11 15 21 25 26 23 20 19 17 14 9 3 0 1 3 6 10 14 17 19 20 20 19 18 16 13 8 5 4 4 5 6 7 7 7 6 5 4 4 3 3 3 3 2 1 -1 -1 -1 0 1 1 0 -0 1 3 4 5 5 6 6 5 3 1 -2 -3 -2 1 5 8 10 13 15 15 13 11 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 10 9 8 7 nan
nan 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 10 10 10 10 10 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 8 8 8 9 9 9 9 9 9 9 8 8 8 8 10 11 13 15 16 18 19 19 18 17 14 11 7 4 4 5 5 5 4 3 4 6 8 10 10 9 7 5 6 10 17 25 31 31 26 20 15 10 6 3 1 2 5 8 11 13 16 18 19 19 18 16 14 12 10 8 6 6 7 8 9 9 8 6 4 2 1 0 -0 -1 0 2 3 2 1 -0 -0 1 3 3 3 3 3 4 4 5 6 7 6 5 4 2 -0 -1 0 3 6 9 12 15 17 17 16 13 12 11 10 9 8 8 8 9 10 11 12 12 12 12 12 11 10 9 8 8 nan
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nan 8 9 9 9 9 9 9 9 10 9 9 9 9 9 10 10 10 9 9 9 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 7 8 8 8 8 9 9 9 8 8 8 8 9 13 17 23 30 34 34 28 22 17 15 14 14 13 12 11 9 7 4 1 -3 -5 -4 -2 1 3 6 8 9 7 3 -1 -4 -4 3 8 9 7 4 1 -2 -1 2 6 12 16 18 18 17 17 16 16 15 14 11 9 9 10 11 12 12 11 10 8 6 3 0 -2 -3 -4 -5 -6 -3 2 9 9 5 2 0 -1 -1 -1 0 1 2 2 2 4 6 8 9 9 7 6 5 5 7 9 11 11 12 13 15 17 18 17 17 16 15 14 12 11 11 11 11 11 11 10 10 9 8 8 8 9 9 9 9 nan
nan 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 9 9 9 9 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 7 8 11 16 20 25 29 33 30 24 17 12 11 12 14 14 14 13 12 9 5 -0 -4 -5 -4 -1 1 3 4 5 7 6 4 1 -4 -6 -5 -2 -1 -1 -1 -3 -4 -2 4 12 19 22 22 19 16 15 14 14 14 13 11 9 9 10 11 12 11 9 8 5 2 1 -1 -2 -3 -5 -6 -5 -1 6 11 10 7 4 1 -1 -3 -4 -2 0 2 3 5 7 10 11 12 11 9 8 7 8 9 11 12 12 12 13 14 15 16 16 15 15 14 14 13 13 13 12 11 9 8 8 8 7 7 7 7 8 9 9 10 nan
nan 8 9 9 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 11 11 10 10 10 9 10 10 10 10 9 9 9 9 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 9 13 16 16 17 19 21 21 21 16 11 11 13 14 15 15 14 12 8 4 0 -2 -1 2 4 6 6 5 5 5 5 5 4 1 -1 -3 -3 -3 -4 -5 -6 -6 -2 7 18 25 26 23 19 16 14 14 13 13 12 10 9 8 8 9 9 8 7 5 3 1 0 -1 -2 -2 -2 -3 -0 5 10 11 9 7 5 2 -1 -3 -3 -1 2 5 7 9 12 14 16 15 13 10 8 7 8 9 11 11 11 11 12 12 13 13 13 13 13 13 13 13 14 14 12 10 8 7 6 6 6 6 6 7 8 9 10 10 nan
nan 9 9 9 10 10 11 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 11 13 13 11 9 10 12 16 18 17 13 12 12 13 15 14 12 8 5 2 2 3 6 10 12 12 11 10 8 6 5 6 6 4 3 0 -1 -3 -5 -6 -6 -5 1 10 22 28 26 20 16 14 14 14 13 13 11 10 9 9 8 7 5 5 4 3 2 1 -0 -1 -1 -0 1 3 7 11 12 10 8 7 6 4 2 0 0 3 6 9 9 11 14 16 17 16 14 11 8 7 7 8 9 10 10 10 10 10 10 10 11 11 11 12 12 13 14 14 12 9 8 7 6 6 6 6 6 7 8 9 10 10 nan
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nan 9 9 9 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 11 13 13 10 7 6 6 7 8 9 9 10 9 9 10 10 10 8 6 5 6 9 13 16 20 21 21 19 17 15 13 11 9 8 7 6 6 4 3 3 3 4 6 9 13 19 23 20 13 8 6 7 8 11 13 14 14 13 12 9 4 1 2 4 5 4 3 2 0 -1 0 5 9 12 11 9 7 5 5 6 7 8 9 10 11 10 7 5 6 9 11 12 12 11 9 8 7 7 8 9 10 11 10 10 9 9 9 10 10 11 12 12 11 11 11 11 9 8 6 5 5 5 6 7 8 8 9 9 9 nan
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nan 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 10 10 10 10 10 9 9 9 9 9 11 14 17 19 18 15 12 10 10 12 13 13 11 7 3 1 1 4 6 8 11 12 13 13 12 11 10 12 15 18 19 16 13 11 12 14 15 15 14 13 12 10 10 9 9 10 10 11 12 13 15 15 13 10 8 7 5 2 -1 -2 2 11 21 28 28 22 14 9 8 9 11 12 11 10 8 8 8 8 9 8 8 8 9 10 11 11 11 9 6 4 4 6 7 9 9 10 11 11 11 11 9 8 7 6 6 6 6 6 5 5 4 4 5 7 10 13 17 19 20 18 13 9 8 10 13 16 15 11 7 4 2 1 3 4 6 nan
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nan 6 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 7 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 11 11 10 11 15 22 27 30 29 22 15 10 6 5 6 9 13 17 17 15 13 12 11 10 9 8 6 4 4 5 7 10 13 14 14 13 12 12 11 11 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 9 10 10 11 10 9 9 8 7 7 7 8 9 10 10 10 9 7 7 6 7 9 11 12 12 11 10 9 9 9 10 10 9 9 9 9 9 10 12 13 13 13 13 12 12 11 11 10 8 7 6 4 3 3 3 4 6 7 8 9 8 8 8 8 9 9 10 10 10 11 10 9 8 7 7 6 7 7 7 6 5 5 5 6 7 9 11 13 14 14 14 13 12 11 10 10 10 10 10 11 13 14 14 12 10 8 7 8 10 nan
nan 6 6 6 6 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 8 8 7 7 7 8 8 8 9 9 9 9 9 9 9 10 10 10 11 11 11 11 14 20 26 28 27 22 14 9 6 4 5 8 12 15 16 14 13 12 11 11 10 9 8 7 7 7 9 12 15 15 14 12 11 11 11 10 9 9 10 11 12 12 13 12 10 9 9 8 8 8 8 10 12 13 14 13 12 10 8 7 7 7 7 8 8 8 9 8 7 6 6 7 8 10 10 10 9 9 8 8 8 8 9 9 9 9 9 10 10 11 12 13 13 13 13 13 12 12 11 9 8 8 7 7 7 6 5 6 7 8 9 8 6 5 6 6 7 7 7 8 8 9 9 9 9 8 8 8 8 7 6 5 4 4 5 8 11 13 15 16 16 15 13 12 11 10 9 9 8 9 10 12 13 13 12 10 8 8 9 11 nan
nan 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 10 10 11 11 12 14 19 25 28 27 23 15 8 5 4 4 7 11 14 15 14 13 12 11 10 10 10 10 10 10 10 12 14 15 14 11 9 8 8 8 8 8 8 9 10 11 12 14 14 13 12 11 10 10 9 10 11 13 14 14 14 12 11 9 8 8 8 7 7 7 7 8 8 8 7 7 8 9 10 10 9 8 8 8 8 8 8 8 8 9 9 9 10 11 11 11 12 13 14 14 13 12 11 11 10 9 8 9 10 11 9 8 7 7 8 9 9 7 6 5 6 6 7 7 7 8 8 9 9 9 9 8 8 7 7 7 7 8 9 10 12 14 16 17 18 17 14 12 10 9 9 8 8 7 8 9 11 12 12 11 10 9 9 11 11 nan
nan 6 5 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 10 10 11 11 12 14 18 24 29 29 25 18 11 6 5 4 6 10 14 16 16 15 13 11 10 9 9 10 10 11 11 12 13 14 13 9 6 5 4 5 6 6 8 9 10 10 11 13 14 14 13 12 11 10 10 11 11 12 12 12 12 11 11 11 10 10 10 9 8 8 8 8 9 9 9 9 9 9 9 9 8 8 7 8 8 8 8 8 8 8 9 9 10 10 10 9 10 11 13 14 13 11 11 11 11 10 9 10 12 13 13 11 9 7 7 8 9 8 6 6 6 7 7 8 7 8 8 9 9 8 8 7 6 6 6 7 10 12 14 15 15 16 18 19 19 17 14 11 9 8 7 6 6 6 8 10 11 12 11 10 10 10 10 11 12 nan
nan 5 5 5 5 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 10 10 11 11 11 14 19 24 29 30 26 21 15 9 6 5 6 9 14 18 19 18 15 12 11 9 9 10 9 9 9 10 11 12 12 10 6 4 3 3 5 7 9 10 10 10 11 12 13 13 12 11 10 10 10 10 9 9 9 9 10 11 12 13 13 12 11 10 9 9 9 10 11 11 11 10 9 9 9 8 7 7 7 7 8 8 9 8 8 8 8 8 9 9 8 8 8 9 11 12 12 11 10 11 11 11 11 12 14 15 14 12 10 8 7 7 8 7 7 7 7 7 8 8 8 7 7 8 8 8 8 7 6 6 6 8 10 13 14 15 15 15 17 18 18 16 13 10 7 4 3 3 3 5 8 11 12 12 12 11 11 11 12 12 12 nan
nan 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 10 10 11 12 14 19 24 28 30 27 21 15 10 6 5 5 7 13 18 20 20 18 15 12 11 10 10 9 8 7 7 9 11 12 11 9 6 4 3 5 7 9 11 11 11 11 11 12 12 11 11 10 10 10 9 8 7 8 9 11 14 14 13 12 11 10 9 9 9 10 12 12 12 12 11 10 9 9 8 7 6 7 7 8 8 9 9 9 9 8 8 8 8 8 8 8 9 8 9 10 10 10 10 11 11 12 14 15 15 14 12 10 9 8 8 8 8 8 7 7 7 8 9 9 7 7 7 7 7 8 8 8 8 9 10 12 14 14 13 13 13 14 15 15 13 11 8 4 1 -0 -1 2 6 10 12 13 13 12 12 12 12 12 12 11 nan
nan 5 6 6 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 10 11 12 13 17 23 27 28 26 19 13 8 5 4 4 7 11 16 19 20 19 17 14 12 11 10 9 8 7 7 9 13 14 14 12 9 7 5 6 7 8 9 9 10 10 10 10 11 12 12 12 11 10 9 8 7 8 11 15 17 16 12 9 8 7 6 7 8 9 11 12 12 12 11 10 10 10 9 8 7 7 7 8 8 9 9 9 9 9 9 8 8 9 9 10 11 10 9 9 10 10 11 10 10 11 13 15 14 14 12 10 9 8 8 9 9 9 8 7 7 9 11 11 10 8 8 7 7 8 8 9 10 11 13 16 18 16 12 10 10 11 12 11 10 8 6 2 -1 -3 -2 3 10 13 14 14 13 12 12 12 12 12 11 11 nan
nan 5 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 10 11 13 16 22 27 28 25 19 11 7 5 4 5 8 10 14 16 18 17 17 15 13 11 10 10 9 9 10 12 15 17 16 15 12 9 8 7 7 6 5 6 6 7 7 8 9 11 13 13 12 10 8 7 8 10 13 18 20 17 10 6 4 3 4 4 6 8 10 11 12 11 10 9 10 10 9 8 7 6 7 7 8 9 9 10 10 10 9 8 8 8 10 12 13 12 11 10 10 11 12 11 11 11 12 13 13 13 12 11 9 9 9 10 10 9 8 6 7 10 12 13 13 12 11 10 9 9 8 8 9 11 14 19 21 19 15 11 9 9 8 6 5 5 5 2 -2 -4 -2 5 12 15 15 14 12 11 11 11 11 10 10 10 nan
nan 5 6 6 6 6 6 6 5 5 5 5 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 10 11 13 16 21 25 28 25 19 14 10 8 7 6 7 10 12 13 14 14 14 13 12 11 10 10 11 12 13 15 17 18 18 16 13 10 8 7 6 4 3 2 3 3 4 5 6 8 10 11 11 10 9 8 8 11 15 20 22 16 9 2 0 1 3 5 7 9 11 12 12 10 9 8 9 9 8 8 7 7 7 7 8 9 9 10 10 10 9 8 8 8 10 12 13 13 12 10 10 11 12 13 13 12 11 12 13 13 13 12 11 10 10 10 10 9 7 6 7 11 12 13 13 12 12 12 11 10 9 8 8 10 14 19 23 23 20 16 12 8 4 1 1 2 4 3 -1 -3 -0 5 11 14 14 13 11 10 10 10 10 9 8 8 nan
nan 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 10 12 13 16 20 24 27 26 21 17 14 10 8 7 6 8 10 11 12 12 12 11 11 10 9 9 10 12 13 14 15 15 16 14 12 10 8 7 5 4 2 1 1 2 3 3 3 4 6 9 11 11 10 9 9 11 15 20 21 14 6 -0 -3 -1 3 8 12 15 15 14 12 10 8 8 9 9 9 8 8 8 8 8 8 8 9 10 10 9 9 9 8 9 10 11 13 12 11 9 8 9 10 12 14 14 13 12 12 13 13 14 13 12 12 11 11 9 7 7 8 11 13 13 13 11 10 10 10 10 9 8 8 9 12 18 23 25 25 22 15 7 -0 -4 -3 1 5 7 4 2 4 7 11 13 12 11 11 11 11 10 10 9 8 8 nan
nan 7 6 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 11 12 12 15 19 24 27 27 22 18 14 11 7 5 5 6 9 11 11 11 11 11 11 10 8 7 7 7 8 7 7 8 9 9 9 7 6 5 4 3 2 2 2 3 3 4 3 2 3 5 8 10 10 10 11 12 16 19 18 12 4 -1 -4 -3 1 8 15 19 19 16 13 10 9 9 9 10 9 9 9 10 10 9 9 8 9 9 9 9 9 9 9 9 9 11 12 11 9 8 7 7 9 11 14 15 14 13 12 12 14 15 15 14 13 12 11 9 7 7 8 11 14 15 14 11 7 5 6 7 8 9 10 11 13 18 23 25 26 23 14 5 -3 -6 -5 1 7 11 11 9 9 9 10 11 11 11 11 11 11 11 11 10 8 8 nan
nan 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 11 12 13 14 18 23 26 27 22 16 13 10 7 4 3 5 9 11 12 13 13 13 12 10 7 5 2 1 -0 -2 -2 0 2 4 5 5 5 4 3 3 3 3 3 4 4 5 4 3 2 3 5 8 10 11 12 14 16 18 16 11 4 -0 -3 -3 0 7 14 18 19 17 15 12 10 10 10 10 10 9 9 9 10 10 9 9 8 8 9 8 8 9 8 8 9 9 10 10 9 8 7 7 8 10 13 15 14 13 11 10 12 15 15 15 14 13 12 9 6 5 6 9 13 16 15 12 7 2 1 2 5 8 11 13 14 16 20 21 22 20 12 3 -3 -7 -6 -1 6 12 14 12 11 10 10 10 11 11 11 11 12 12 12 11 10 9 nan
nan 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 11 12 14 15 17 21 25 25 22 16 12 10 7 4 4 6 10 13 14 15 14 14 13 11 7 4 1 -2 -4 -5 -4 -1 1 4 6 7 7 7 7 7 7 8 7 7 7 7 7 6 4 4 5 7 10 11 12 14 15 16 15 12 7 4 2 2 4 8 13 16 17 17 15 14 12 11 10 9 9 9 8 8 9 10 10 9 8 8 7 7 8 8 8 8 8 8 8 9 9 8 8 8 8 10 12 13 13 12 10 9 9 11 11 11 12 13 13 11 7 5 6 8 12 16 17 13 8 2 -2 -2 -0 3 7 10 10 11 13 15 15 15 10 4 -2 -5 -6 -4 2 7 10 10 9 8 8 9 10 10 10 10 11 11 12 11 11 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
CAPE
23 16 14 15 16 14 15 16 14 10 8 8 8 7 7 6 9 11 12 11 10 9 9 8 8 8 9 11 14 16 15 19 21 22 23 22 20 19 20 20 19 18 18 17 15 14 14 14 14 14 14 14 13 14 13 13 13 13 14 15 16 16 15 15 14 14 14 15 15 15 14 12 12 11 12 12 11 11 10 9 8 9 8 7 6 6 6 6 6 6 6 6 6 6 5 5 5 6 6 6 6 6 6 6 6 6 6 5 6 6 6 5 4 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 12 82 360 948 1615 1980 1871 1437 979 667 537 512 525 554 598 649 710 800 941 1080 1206 1322 1432 1536 1626 1698 1783 1873 1945 2101 2293 2317 2083 1674 1379 1288 1274 1265 1257 1276 1345 1434 1457 1236 802 425 228 146 94 55 29 6 4 11 11 9 8 10 12 14 19 21 21 20 20 18 13 12 6 9
21 17 13 12 13 18 21 22 19 15 10 8 7 8 7 6 7 8 9 9 10 10 10 10 12 11 13 13 14 16 18 21 22 21 21 20 19 19 20 19 18 17 17 15 14 13 13 14 14 14 14 14 13 14 14 14 14 14 15 16 16 15 15 14 14 14 14 14 15 15 15 13 11 11 12 11 11 10 9 8 8 8 8 6 6 6 6 6 6 6 6 5 6 5 4 4 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 17 83 261 684 1278 1691 1718 1427 1037 741 595 556 566 602 637 660 689 753 857 961 1063 1183 1317 1434 1532 1632 1771 1898 1902 1948 2051 1974 1715 1438 1286 1265 1292 1302 1299 1311 1358 1406 1365 1096 610 269 126 83 65 47 31 17 11 13 16 16 16 15 16 17 21 23 23 17 10 5 4 7 8 12
16 15 18 21 26 29 28 27 24 21 15 10 6 7 6 6 6 6 7 9 11 11 11 12 14 14 17 16 13 13 16 18 18 16 18 17 17 18 18 17 17 16 15 16 15 14 14 14 14 15 15 14 15 15 15 14 15 16 16 16 15 15 14 13 14 14 14 14 14 14 13 11 11 11 11 11 10 9 8 8 8 7 6 6 6 6 6 6 6 6 5 4 5 4 4 5 5 6 6 6 6 6 7 7 7 6 6 6 6 6 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 30 94 228 516 1001 1443 1589 1435 1131 850 681 618 625 670 688 693 711 761 837 919 1017 1139 1257 1364 1457 1557 1681 1781 1765 1719 1686 1579 1422 1279 1199 1175 1168 1151 1134 1140 1162 1129 975 676 309 123 73 63 54 43 35 29 23 20 20 19 20 19 19 18 18 17 15 9 4 1 2 6 9 10
13 15 23 28 31 32 30 27 26 25 22 17 10 7 6 6 6 6 7 8 10 10 9 8 11 14 16 16 14 14 15 15 15 16 14 16 17 17 17 17 16 16 15 15 15 15 15 14 14 15 16 15 15 15 15 15 16 17 17 16 15 15 14 14 14 14 14 13 13 13 14 12 12 11 10 10 9 8 8 8 7 6 6 6 6 6 6 6 6 5 5 4 4 4 5 6 6 6 6 6 6 7 7 7 7 7 6 6 6 6 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 11 57 130 245 455 805 1214 1445 1424 1221 975 793 709 703 731 744 759 782 819 870 931 994 1056 1151 1276 1389 1484 1563 1597 1538 1444 1391 1331 1249 1145 1043 956 878 806 762 752 731 633 466 272 116 59 59 55 47 39 32 27 24 22 19 17 17 17 16 14 12 10 9 2 0 0 0 2 5 5
14 13 25 28 30 32 30 27 27 26 24 21 16 10 7 5 6 6 6 6 7 8 7 7 9 12 14 14 13 16 16 13 12 12 14 16 17 17 16 16 16 15 14 15 16 16 16 16 17 17 17 17 16 15 15 15 17 17 17 15 14 14 13 13 13 13 13 12 12 11 11 11 12 11 10 9 9 8 8 7 6 6 6 6 6 6 6 5 5 4 4 4 4 4 4 5 5 6 6 6 6 7 7 7 7 7 7 7 7 7 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 30 94 187 300 455 685 988 1257 1345 1254 1072 905 806 774 787 825 871 889 898 916 939 959 988 1087 1238 1351 1417 1430 1397 1328 1263 1281 1210 1095 962 827 695 569 456 376 339 295 218 145 86 55 53 58 51 44 39 36 32 28 23 18 15 13 13 12 10 9 7 5 1 0 0 2 3 2 1
12 15 25 30 30 30 29 27 26 25 23 22 19 15 10 7 6 6 6 6 6 7 7 8 9 10 12 12 13 14 14 11 12 13 13 14 15 15 15 16 16 16 16 16 17 19 18 17 16 16 16 16 15 15 15 16 16 17 15 13 12 12 12 12 12 11 11 11 11 10 10 11 10 10 9 8 8 8 7 6 6 6 6 6 6 6 5 5 4 4 4 4 4 4 4 4 5 6 6 7 7 7 8 8 7 7 8 8 8 7 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 20 60 129 226 332 452 604 802 1015 1173 1192 1101 983 890 851 874 936 981 965 937 926 929 942 979 1079 1227 1315 1319 1285 1266 1287 1326 1311 1120 912 770 652 522 381 252 160 115 91 64 51 46 50 56 58 53 51 51 48 41 31 21 14 13 12 11 9 8 7 5 2 0 0 0 1 2 1 0
13 18 24 28 29 29 27 25 23 21 20 20 20 17 14 12 11 10 8 7 7 7 7 7 9 11 13 13 12 12 12 12 13 13 12 14 15 15 17 18 18 17 17 17 18 19 19 21 18 15 14 14 13 13 14 16 16 15 13 11 12 11 11 11 11 11 10 10 11 10 9 9 9 9 9 8 8 7 6 6 6 6 6 6 5 5 4 4 4 4 4 4 4 4 4 5 5 6 6 7 7 8 8 8 8 8 8 8 8 7 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 19 48 90 143 203 271 352 456 591 756 917 1021 1030 980 921 898 922 965 979 947 921 919 928 954 1010 1101 1199 1243 1204 1196 1246 1327 1343 1214 992 786 688 612 494 349 216 121 66 46 39 39 49 59 62 62 63 72 77 69 51 33 20 14 15 15 13 9 6 5 3 1 0 0 0 0 0 0 0
15 23 27 29 29 28 24 22 21 20 19 18 17 14 18 18 18 17 14 12 10 11 11 11 12 14 15 17 15 13 12 12 13 14 15 16 17 18 20 20 19 18 17 17 16 16 17 20 14 12 11 11 10 10 10 12 13 12 10 10 10 10 10 10 10 9 9 9 9 9 8 9 9 9 10 8 7 6 6 6 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 7 8 8 8 8 8 9 9 8 7 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 27 49 71 94 115 129 147 183 249 360 502 654 785 869 886 881 882 881 877 882 903 937 956 962 986 1033 1082 1113 1116 1109 1171 1260 1305 1239 1063 862 751 732 683 558 403 254 135 58 28 21 29 41 53 59 63 71 89 96 80 57 38 28 25 26 25 19 9 3 1 0 0 0 0 0 0 0 0 0
22 28 29 29 28 26 24 23 23 22 20 18 16 13 16 19 19 19 18 17 17 17 17 17 17 18 18 18 19 16 14 13 14 15 15 15 16 17 18 18 17 15 13 12 12 12 14 15 11 10 9 8 7 7 7 8 9 9 8 8 8 8 8 8 9 9 9 8 9 9 10 9 10 10 9 8 7 6 6 6 6 5 5 4 4 4 4 4 4 4 3 4 4 4 4 5 5 5 6 7 8 8 8 8 8 9 9 8 6 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 13 45 70 72 69 67 62 52 46 59 96 173 287 425 564 681 752 790 785 749 746 810 918 1006 1013 971 956 960 969 981 1002 1050 1143 1206 1166 1038 890 797 784 793 726 575 407 242 108 27 11 16 34 49 54 57 67 84 104 110 98 83 71 64 60 55 47 31 11 2 0 0 0 0 0 0 0 0 0 0
23 27 27 26 25 25 25 24 24 22 21 20 18 19 21 20 21 20 21 20 20 20 19 18 19 19 18 17 17 18 16 15 15 14 13 13 13 14 12 12 12 11 9 8 8 8 10 10 9 8 7 5 5 5 5 6 6 7 7 6 6 7 6 7 8 7 7 7 8 9 10 11 10 10 8 7 7 6 6 5 5 4 4 4 4 4 4 3 3 3 3 4 4 4 4 5 5 6 7 8 8 9 9 8 8 8 8 7 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 23 61 103 100 63 43 33 24 13 7 10 23 60 131 234 356 471 554 592 582 587 687 834 954 994 948 874 836 821 827 857 902 964 1033 1042 960 850 775 764 777 753 636 443 264 128 43 9 12 25 43 55 66 84 106 123 129 124 121 134 151 158 155 135 100 58 22 6 1 0 0 0 0 0 1 0 0 0
28 27 26 24 24 25 25 25 25 24 23 23 23 24 24 23 23 22 23 22 21 19 19 20 20 19 19 17 17 17 16 16 15 14 13 12 12 11 9 9 8 8 7 7 6 7 7 6 9 11 9 5 4 4 4 4 5 6 6 5 6 6 5 5 5 5 6 6 7 8 9 9 10 9 7 6 6 6 5 5 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 5 6 7 8 8 9 9 9 8 8 8 8 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 26 87 130 122 73 29 17 15 13 9 6 5 8 25 58 120 205 297 374 429 475 572 737 861 892 847 770 708 687 691 715 741 768 793 805 777 711 648 624 639 640 576 423 226 88 31 16 23 35 47 56 71 103 154 188 186 162 146 160 208 262 304 329 305 225 122 46 10 1 0 0 0 3 7 11 4 1 0
24 25 26 26 26 26 26 26 27 26 26 26 26 26 26 25 24 23 23 21 20 19 20 21 21 20 20 17 17 17 16 16 15 15 14 12 11 11 10 9 8 7 7 7 8 8 8 6 7 9 9 7 6 5 5 6 7 8 8 8 8 7 6 6 5 6 7 7 7 8 10 10 9 7 6 6 6 5 5 5 4 5 4 3 3 3 3 3 3 3 4 4 4 4 4 5 6 7 8 9 9 9 9 8 8 8 8 6 2 0 0 0 0 0 0 0 0 0 0 0 0 5 8 2 1 6 28 110 187 170 99 35 10 9 17 29 41 49 53 56 73 101 150 220 303 388 475 572 689 767 773 718 640 576 548 557 582 598 592 578 561 540 506 459 420 404 401 380 310 197 85 24 21 41 69 88 95 97 115 162 229 260 242 207 197 229 292 362 442 519 506 381 208 77 15 1 0 0 4 14 28 33 22 3 0
23 26 27 26 27 27 27 26 26 27 27 28 27 27 25 24 23 22 21 19 20 20 21 21 21 20 20 19 17 18 17 16 15 15 15 13 12 11 10 10 9 9 8 9 9 8 8 8 9 9 9 8 7 7 7 8 8 9 8 8 8 8 7 7 7 7 7 8 8 8 8 8 7 6 6 6 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 5 5 6 7 8 8 9 8 8 8 7 7 7 5 2 0 0 0 0 0 0 0 0 0 0 0 0 27 51 28 10 44 122 238 241 147 60 13 5 21 46 93 155 200 214 223 244 269 316 372 432 493 556 613 646 633 589 532 480 447 441 458 479 474 454 437 424 408 381 338 290 244 195 153 112 73 48 47 84 134 171 180 170 164 182 224 274 298 301 313 344 382 405 429 507 617 631 497 288 111 21 0 0 0 5 22 41 49 45 9 2
28 28 28 28 27 26 27 27 26 27 28 27 26 24 21 20 20 20 20 20 20 20 20 20 20 20 19 18 17 18 18 17 16 15 14 13 12 12 11 10 10 10 9 9 10 9 9 9 10 11 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 6 6 6 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 5 5 6 6 7 7 8 8 8 7 7 6 5 5 3 1 0 0 0 0 0 0 0 0 0 0 0 2 31 72 42 54 147 250 285 204 84 25 4 12 49 119 233 383 477 478 464 462 459 465 481 489 493 495 488 467 443 420 403 389 379 377 383 400 450 446 453 462 455 417 348 263 180 112 67 54 55 89 158 243 297 299 277 253 243 252 273 297 329 396 505 624 676 639 565 562 632 658 540 332 139 31 2 0 0 3 17 38 56 58 27 6
27 27 27 28 27 22 26 26 25 24 23 22 21 22 21 20 20 21 21 21 20 20 20 19 19 19 18 17 17 18 18 17 16 15 14 13 12 12 12 10 10 11 10 10 10 9 9 9 9 10 10 10 9 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 7 7 7 6 6 5 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 5 5 6 7 7 7 8 8 7 6 6 5 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 4 13 47 161 274 305 237 121 32 7 1 15 80 221 428 644 733 672 604 558 516 478 453 427 399 378 361 343 335 327 323 323 318 316 334 378 438 501 533 524 489 424 330 224 136 88 59 70 123 235 356 431 445 412 368 337 317 312 318 331 364 474 665 888 979 922 794 687 656 639 532 349 169 55 14 3 0 0 0 16 41 49 28 7
23 24 25 26 25 23 25 25 22 20 18 18 21 22 21 20 20 20 20 20 20 19 18 18 18 18 18 18 17 18 18 17 16 16 15 14 13 13 13 11 10 10 10 10 10 10 9 10 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 8 8 8 7 6 6 6 5 6 6 4 4 4 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 4 4 6 7 7 7 7 7 7 6 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 9 37 109 261 311 250 143 52 10 0 0 7 100 314 589 805 841 709 586 508 457 418 390 365 339 326 323 315 300 277 258 251 263 286 315 353 405 461 483 455 390 316 244 180 132 111 127 184 297 442 547 582 561 513 471 454 442 425 401 382 398 499 676 927 1053 1048 952 818 715 643 529 368 211 105 50 17 0 0 0 0 7 13 7 1
24 23 21 21 22 24 24 23 24 20 18 19 22 24 21 19 19 18 18 18 19 19 19 18 18 17 17 18 18 18 18 18 17 17 16 15 13 13 13 12 11 10 10 10 10 10 10 10 8 9 9 9 8 8 8 8 8 8 8 8 8 7 7 6 7 7 6 6 6 6 5 5 4 4 4 3 3 3 3 3 3 3 2 2 2 2 2 2 2 3 3 4 4 5 6 7 7 6 6 6 6 6 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 11 46 114 209 275 243 139 59 16 2 0 0 0 106 359 651 821 786 628 510 465 443 423 403 384 364 347 344 333 305 267 235 228 264 302 328 343 350 349 341 303 237 183 157 150 167 218 300 400 505 603 666 681 667 653 656 675 679 645 575 504 479 526 612 820 966 1012 966 871 773 674 554 412 280 178 99 36 1 0 0 0 0 0 0 0
24 23 20 18 20 22 24 24 22 23 23 21 19 19 19 18 18 19 19 19 19 19 18 16 16 15 15 16 19 19 17 17 16 16 15 14 13 13 13 13 12 10 9 10 10 10 10 10 9 10 9 8 8 8 8 8 8 8 8 8 7 7 6 5 5 6 6 6 5 5 4 4 4 4 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 3 3 4 5 5 5 6 6 6 6 5 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 54 138 225 272 229 133 54 18 4 0 0 0 5 107 368 642 742 675 567 525 514 514 506 489 463 433 406 388 374 349 322 307 317 355 391 401 367 330 303 279 237 187 163 180 216 273 358 468 579 651 654 708 754 799 855 914 956 968 934 853 739 639 598 622 749 848 891 870 815 756 685 591 480 366 244 129 43 3 0 0 0 0 0 0 1
25 24 24 23 22 22 23 23 23 25 28 25 21 19 18 18 18 19 18 18 17 16 16 15 15 16 18 19 19 18 15 14 15 15 15 14 13 13 13 13 12 11 10 11 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 5 5 5 5 4 4 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 3 4 4 5 5 5 6 6 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 44 136 238 283 256 176 94 27 6 1 0 0 0 21 127 387 635 683 641 612 624 629 628 609 577 539 502 473 456 449 440 424 418 446 498 532 514 457 411 379 355 332 318 329 365 389 409 459 545 638 701 685 750 838 931 1017 1086 1130 1172 1188 1125 1006 878 774 721 745 789 806 775 720 668 628 581 522 427 260 132 47 6 0 0 0 0 0 2 10
21 23 23 21 20 20 22 23 22 23 26 26 23 20 19 19 19 19 18 18 17 17 16 16 17 18 19 20 18 16 15 14 14 16 15 14 14 14 13 13 13 13 12 11 10 10 10 9 8 8 8 8 8 8 8 8 8 8 8 7 6 6 6 6 6 4 4 4 4 4 4 4 3 3 3 3 3 2 2 2 2 2 2 2 1 2 1 1 2 2 3 4 4 5 5 6 6 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 34 106 208 256 234 194 146 84 21 2 0 0 0 2 42 177 427 654 688 688 708 734 739 721 686 641 599 571 559 562 576 596 581 567 592 646 684 672 603 550 522 513 517 532 561 598 581 540 528 569 641 709 754 828 937 1023 1068 1085 1087 1075 1078 1074 1066 1014 932 855 820 824 818 762 675 591 533 502 476 410 223 122 55 14 2 0 0 0 0 4 17
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