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 7 6 7 7 7 7 6 6 6 7 7 7 7 7 7 7 6 6 5 6 6 6 7 7 7 7 7 7 7 8 8 9 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 8 7 7 8 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 11 12 12 12 12 12 13 11 9 6 -0 -6 -9 -5 2 10 15 17 17 15 12 10 9 9 8 8 6 5 4 4 6 8 12 14 15 14 12 11 11 11 11 10 9 8 8 8 9 9 9 7 5 5 6 7 8 8 8 11 14 16 16 13 10 8 9 10 10 8 4 3 4 10 16 17 14 11 9 7 5 3 1 0 1 2 3 4 5 6 8 11 15 19 23 26 25 21 14 8 nan
nan 8 7 7 8 8 7 7 6 5 5 6 7 7 7 7 7 7 7 6 6 5 5 6 6 6 7 6 6 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 9 9 9 10 10 11 12 13 13 11 10 10 11 11 9 4 -2 -7 -8 -4 4 13 17 18 16 13 11 9 8 6 5 4 3 3 4 5 6 8 11 14 15 13 11 10 10 10 10 10 9 8 8 7 7 7 6 6 5 6 8 9 11 10 9 10 12 14 13 11 9 7 8 10 10 7 5 5 10 16 20 19 13 10 7 4 2 0 -0 -0 -0 0 2 3 4 5 7 10 14 20 25 26 20 11 3 -0 nan
nan 8 8 8 8 8 7 7 6 5 5 5 6 6 6 7 8 8 8 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 11 12 13 13 13 10 8 8 10 11 9 4 -2 -7 -8 -3 5 13 17 16 13 10 8 7 6 4 3 2 2 3 5 6 7 8 9 10 12 11 10 9 8 8 9 9 9 9 8 7 6 5 6 6 7 8 9 11 12 11 8 6 6 9 10 10 8 7 7 8 8 6 6 10 15 19 19 16 11 7 4 1 -1 -1 -1 -1 -1 -1 1 2 4 5 6 8 11 17 23 25 18 8 -1 -5 nan
nan 8 8 7 7 7 7 7 7 6 5 5 5 5 5 6 7 7 8 7 7 7 7 6 6 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 7 8 9 9 9 10 10 10 10 9 9 9 9 10 10 9 9 9 8 8 8 8 8 8 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 11 11 12 13 14 14 12 9 6 7 10 11 9 4 -3 -8 -8 -3 5 11 14 12 9 7 5 4 3 3 2 3 3 5 7 8 8 8 7 7 8 10 9 8 7 8 8 8 8 8 7 6 6 6 6 7 8 9 9 10 11 9 5 2 2 6 10 10 8 7 6 6 5 5 8 13 17 17 15 12 8 5 1 -1 -3 -2 -2 -1 -1 -1 -1 1 3 4 5 5 7 11 16 19 16 8 -0 -6 nan
nan 7 7 7 6 6 6 7 7 7 7 6 5 5 5 5 6 6 7 7 8 8 8 7 5 4 4 4 5 5 6 6 6 6 5 6 6 6 6 6 6 7 8 8 9 9 9 10 10 9 9 9 9 10 10 10 9 9 8 8 8 8 8 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 10 10 10 11 11 11 11 11 12 12 14 14 14 11 8 6 7 11 12 9 3 -3 -7 -5 -1 4 9 10 8 5 4 4 3 3 3 4 5 6 7 8 9 8 8 7 7 8 9 9 7 6 7 7 7 7 7 6 5 5 6 7 8 8 8 8 8 8 7 4 3 5 9 11 11 8 6 5 4 3 5 8 12 13 13 12 9 7 3 -0 -3 -3 -3 -2 -2 -2 -3 -2 0 2 3 4 4 4 5 7 9 9 5 -1 -5 nan
nan 7 7 7 6 6 6 7 7 8 7 7 6 5 5 5 5 5 6 7 8 9 9 8 6 4 4 4 5 5 6 6 7 7 6 6 7 7 7 6 6 6 6 7 8 8 9 9 9 9 9 9 10 10 11 10 10 9 9 8 8 8 8 8 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 12 12 12 13 15 15 13 10 7 6 8 10 10 7 2 -2 -2 0 3 5 7 7 5 5 4 3 3 3 4 6 7 8 9 9 9 8 8 8 8 9 9 8 7 6 6 6 7 7 6 5 5 5 6 7 8 8 8 7 6 7 7 6 7 11 14 14 10 7 5 4 3 4 5 7 8 8 10 10 8 5 2 -1 -3 -2 -2 -3 -3 -4 -5 -4 -1 2 3 4 4 3 3 3 3 2 0 -3 -6 nan
nan 7 7 7 7 7 6 7 7 7 8 8 8 7 6 6 5 5 5 6 7 8 9 8 7 6 6 7 7 6 6 6 7 8 8 8 8 8 7 7 5 5 5 6 7 7 8 8 9 9 9 9 10 10 11 10 10 10 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 12 12 13 14 15 15 15 12 9 7 6 6 6 5 3 2 2 4 6 8 7 6 5 6 6 5 4 3 3 5 8 10 11 11 10 10 9 9 9 9 9 9 8 7 6 6 6 6 6 6 6 6 6 7 8 8 9 8 7 6 6 6 7 10 14 16 14 9 5 4 4 5 6 8 8 6 8 11 11 8 5 1 -1 -3 -3 -2 -3 -4 -5 -5 -5 -3 0 3 4 4 3 3 4 2 1 -1 -2 -4 nan
nan 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 6 6 6 6 7 8 8 8 7 7 9 9 8 6 5 5 6 8 8 8 8 8 8 7 6 5 5 6 6 7 7 8 8 8 9 9 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 12 12 13 13 14 15 16 16 15 11 9 7 6 4 2 -1 -1 2 6 10 12 12 11 8 7 7 6 5 4 3 4 7 10 13 13 11 10 10 10 10 10 10 10 10 9 8 8 7 7 6 6 6 6 6 7 8 9 9 9 8 7 7 7 7 9 12 14 15 12 8 5 5 7 9 11 11 9 8 9 11 10 8 5 3 0 -2 -3 -4 -4 -3 -3 -4 -4 -3 -0 3 4 3 3 3 4 3 2 2 1 -0 nan
nan 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 8 10 11 10 8 6 6 6 7 8 8 8 8 8 8 7 6 6 6 6 7 7 7 8 9 9 10 10 10 9 9 9 10 10 10 9 8 8 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 12 12 13 14 14 15 15 16 16 16 14 11 9 8 7 4 -0 -4 -4 1 6 10 14 14 13 10 8 7 7 6 4 5 7 10 13 15 14 12 10 9 10 12 12 13 12 12 11 10 10 10 9 8 7 6 6 6 8 9 10 10 9 8 7 7 8 9 10 13 14 14 11 8 7 9 11 13 13 12 9 9 9 9 6 5 6 5 3 1 -1 -2 -2 -1 -0 0 -0 -0 2 4 4 4 3 2 2 2 2 3 4 3 nan
nan 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 8 7 7 7 7 8 9 11 10 9 8 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 8 8 9 9 10 10 9 9 9 9 10 10 10 10 9 8 8 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 12 12 13 14 15 16 16 16 16 17 17 16 13 10 9 8 6 3 -0 -2 -2 1 4 8 11 11 9 7 6 6 6 6 5 7 10 13 15 15 13 11 9 8 9 11 13 15 15 15 14 12 12 11 11 10 9 7 6 7 8 9 9 9 9 8 8 7 8 8 9 11 12 12 12 12 12 13 13 12 10 8 7 8 8 7 5 5 6 6 6 4 3 3 2 4 4 4 2 2 4 6 6 5 4 3 1 0 0 2 6 7 nan
nan 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 9 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 9 9 9 9 9 10 11 10 10 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 12 12 13 13 14 15 17 18 18 18 18 18 18 18 16 13 10 8 7 4 1 -0 1 2 5 7 9 10 9 5 4 4 5 6 6 7 9 12 15 15 14 12 10 8 7 8 10 13 15 17 16 15 13 12 12 12 11 10 9 8 7 7 7 7 7 8 8 8 7 6 4 4 6 8 11 14 16 17 15 11 7 4 4 4 6 7 8 8 8 8 8 7 7 6 5 5 7 7 5 4 3 5 6 7 7 6 4 2 0 -0 3 8 11 nan
nan 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 10 10 10 9 9 9 9 9 8 8 8 8 9 8 8 8 8 8 8 8 9 9 9 9 10 10 9 9 9 9 10 10 11 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 11 11 12 12 13 14 15 16 18 19 20 20 20 20 20 20 18 16 12 9 8 6 2 -2 -2 2 5 9 14 16 14 11 8 8 10 10 8 7 8 11 14 16 16 14 11 8 7 6 7 9 11 14 16 16 15 14 13 12 12 12 11 11 9 8 7 6 5 4 5 7 9 7 3 1 0 2 5 9 15 18 17 12 6 2 1 2 2 4 6 9 11 11 10 8 7 6 5 4 3 4 5 5 4 5 5 5 6 7 7 7 5 2 1 4 9 15 nan
nan 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 10 10 10 10 10 9 9 8 7 8 9 9 8 7 7 7 8 8 9 9 9 9 10 10 10 9 9 9 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 11 11 12 13 14 15 16 18 19 20 21 21 21 21 21 21 19 17 14 11 9 8 5 2 -1 -2 -0 3 8 15 18 16 13 14 17 18 15 11 9 10 13 16 18 17 14 10 8 6 6 7 8 10 12 13 13 14 14 14 13 12 11 11 10 9 7 6 6 6 5 4 6 8 7 3 1 1 3 5 9 13 15 13 6 1 -1 1 2 2 4 6 7 9 10 11 9 6 5 4 3 1 0 1 3 5 6 5 5 5 7 8 9 8 5 3 3 8 13 nan
nan 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 8 7 7 7 7 7 8 9 9 9 9 9 9 9 10 10 10 10 9 8 8 8 9 8 8 7 7 8 8 8 9 9 9 10 10 10 9 9 9 9 9 10 10 10 10 9 9 8 8 8 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 11 12 12 14 15 16 18 20 21 22 22 21 20 19 19 20 18 16 13 11 10 9 8 6 3 1 -2 -2 2 6 11 12 12 13 16 20 19 15 11 10 11 14 16 18 17 14 10 8 7 7 7 8 9 9 9 10 11 13 14 14 13 11 10 9 8 7 6 7 8 9 7 6 7 8 7 7 8 9 9 10 10 10 6 1 -1 -1 1 2 4 5 5 5 5 6 8 9 9 9 8 6 2 -0 -2 0 4 6 5 5 6 7 10 12 11 8 4 2 4 7 nan
nan 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 7 8 9 9 9 10 10 9 9 9 9 10 10 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 10 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 11 12 13 15 16 18 19 21 23 25 25 24 22 19 17 16 15 13 10 9 9 10 10 8 6 4 0 -2 -1 4 8 7 7 8 11 15 17 16 13 11 10 11 13 15 16 16 14 11 8 7 7 8 9 9 8 7 8 9 11 14 15 14 12 11 10 10 10 9 10 11 11 9 8 8 9 12 14 15 14 12 10 7 5 2 -1 -2 -0 2 3 3 4 3 2 2 2 4 8 14 17 15 11 6 2 0 1 3 5 5 5 6 9 13 15 14 10 6 3 2 3 nan
nan 7 8 8 8 8 8 7 7 8 8 8 8 8 7 7 7 7 8 8 9 9 8 6 6 6 7 8 9 9 10 10 9 8 7 8 9 11 11 10 10 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 9 8 8 8 8 8 9 10 12 13 15 16 17 19 21 22 24 25 26 27 25 22 18 15 13 11 8 6 6 8 10 10 9 5 1 -3 -4 -0 6 8 7 6 8 11 13 13 13 12 11 10 10 12 13 14 14 12 11 9 7 8 8 9 8 6 6 7 8 10 12 14 15 15 14 14 15 16 16 15 13 11 9 7 8 10 12 14 15 14 12 9 6 3 1 -0 0 2 2 2 1 1 1 2 1 -1 -0 5 14 21 20 15 10 7 4 4 5 5 4 4 7 11 15 16 15 13 9 6 3 2 nan
nan 7 8 8 8 8 7 7 7 7 7 8 7 7 6 6 6 6 7 7 8 9 9 8 6 5 6 7 9 9 10 10 9 8 6 6 8 10 11 11 11 10 9 9 9 10 9 9 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 9 8 8 8 8 8 9 11 14 15 16 17 18 20 21 23 23 24 24 25 25 23 18 14 11 10 8 6 5 5 8 10 10 7 3 -2 -5 -3 1 6 8 7 6 9 11 11 10 10 11 11 11 10 10 11 12 12 11 11 10 8 8 8 8 6 5 5 6 7 8 10 12 15 17 17 18 19 19 19 17 14 11 7 5 5 6 8 9 9 9 8 7 6 4 3 3 3 3 3 1 0 -0 0 2 2 0 -1 1 8 16 19 16 13 10 7 7 7 7 4 3 5 9 14 16 16 15 12 8 5 3 nan
nan 7 8 8 7 7 6 6 6 7 7 7 7 7 6 6 6 6 6 6 7 8 9 8 7 6 6 7 8 9 9 10 10 9 7 6 6 7 9 11 11 10 9 8 9 10 10 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 10 12 14 15 16 18 19 21 23 23 22 20 19 19 18 16 12 9 8 7 7 6 5 6 7 8 7 2 -2 -3 -1 4 9 11 10 9 8 9 10 9 8 8 9 10 10 9 9 10 11 12 13 13 12 11 9 8 7 6 5 5 5 6 7 8 11 14 16 16 16 16 17 17 16 13 10 6 4 3 3 4 5 5 5 5 5 5 5 6 6 5 5 4 2 1 0 1 3 5 5 3 2 4 10 14 14 12 10 8 7 7 7 4 1 2 6 11 15 17 17 14 10 6 3 nan
nan 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 6 6 6 7 8 8 8 7 6 7 8 8 9 9 10 10 9 7 6 6 7 9 11 11 10 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 10 10 9 10 10 10 10 10 9 9 9 8 9 8 8 8 8 8 9 11 12 13 14 16 18 20 22 23 22 18 14 11 10 10 9 8 7 6 5 5 5 6 7 7 5 1 -3 -5 -2 3 10 14 15 13 10 8 7 8 8 8 7 8 9 9 9 9 11 13 15 16 16 16 14 11 9 7 6 6 5 5 6 6 8 11 14 15 13 11 10 11 13 13 12 9 7 6 4 4 4 5 6 6 6 5 5 6 7 7 6 5 4 3 2 3 4 7 9 10 9 6 5 6 8 10 9 9 8 6 6 5 3 -0 -1 3 8 15 19 19 15 10 6 4 nan
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nan 7 7 7 7 7 6 7 7 7 8 7 7 7 7 7 7 7 8 8 7 7 7 7 8 8 7 6 6 6 6 6 6 7 8 9 10 10 8 7 6 7 9 10 10 10 9 8 8 8 9 10 10 11 11 10 10 9 9 9 10 10 11 11 10 10 11 11 11 10 9 9 9 8 8 8 8 10 14 19 25 31 37 42 42 38 32 25 17 11 8 7 7 7 6 5 3 1 -1 -3 -4 -4 -5 -3 -1 2 4 3 0 -4 -7 -7 -7 -6 -5 -3 -0 3 8 10 12 12 13 13 12 11 11 12 15 18 18 16 14 13 12 11 9 9 8 8 8 7 8 10 12 14 14 11 9 7 6 5 6 8 9 8 7 7 6 4 4 5 6 6 6 6 6 6 6 6 7 7 8 9 10 12 14 16 16 15 12 10 10 10 11 11 11 10 9 8 7 7 8 8 8 7 8 12 17 19 18 15 10 7 nan
nan 7 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 8 7 7 8 8 8 7 6 6 6 7 6 6 6 7 9 10 10 8 7 6 7 9 10 10 9 8 8 8 8 9 9 10 10 10 10 10 9 10 10 10 11 11 10 10 11 10 10 9 9 9 8 8 8 9 9 13 18 23 27 32 37 40 37 30 21 14 9 5 5 7 7 7 7 6 4 1 -1 -3 -4 -4 -4 -4 -2 0 3 3 0 -4 -5 -4 -2 -0 1 3 5 8 10 11 12 12 13 13 12 11 10 11 13 16 17 15 12 11 10 9 8 7 8 8 8 9 9 10 12 14 14 13 11 10 8 7 7 8 9 10 10 8 6 3 2 3 4 5 6 7 7 7 7 7 8 10 11 14 15 15 15 15 17 17 15 13 11 12 12 11 10 9 8 7 7 7 8 9 10 10 11 14 17 19 18 15 11 8 nan
nan 7 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 8 8 8 7 7 8 8 8 8 8 8 8 8 7 6 6 7 9 10 10 9 7 7 8 10 10 9 9 9 9 9 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 11 16 20 21 21 23 26 28 27 19 12 7 5 5 6 6 6 5 5 5 4 3 1 -0 -1 1 2 2 2 3 5 4 2 -1 -1 1 3 5 7 8 9 9 9 9 10 10 11 11 10 9 9 10 12 15 16 16 14 12 10 8 6 6 7 8 9 9 10 10 11 11 12 13 13 13 12 9 8 8 9 12 13 11 8 4 2 2 3 5 6 8 9 9 8 8 9 11 14 16 17 16 15 15 17 18 17 14 12 11 11 10 8 7 7 6 5 5 7 9 11 12 13 15 18 19 17 13 9 7 nan
nan 7 8 7 7 7 7 7 7 7 6 7 7 8 8 8 8 8 7 7 8 8 8 8 7 8 8 9 9 9 9 9 9 8 7 6 6 7 9 10 10 9 8 8 9 10 10 10 9 9 9 9 9 9 9 9 9 10 10 11 11 10 10 10 10 10 10 10 9 9 9 9 10 10 10 11 13 17 18 17 15 15 17 18 17 14 10 8 6 4 4 3 3 2 1 1 3 5 6 6 7 9 10 10 9 9 9 8 6 4 3 3 5 6 7 7 7 7 7 7 8 9 9 9 8 8 10 11 12 14 17 19 18 15 11 8 6 5 6 8 9 10 10 10 9 8 8 10 13 14 14 12 10 8 9 12 13 11 8 6 5 4 4 5 7 10 11 10 9 8 8 10 12 14 15 14 13 14 14 14 14 12 10 9 8 7 6 6 5 5 4 4 6 10 12 14 15 17 19 19 16 11 6 5 nan
nan 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 8 8 7 6 6 7 9 10 10 9 8 9 10 10 10 10 9 9 9 9 9 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 15 17 16 15 13 13 14 14 14 13 12 9 6 2 1 1 2 2 1 0 3 8 11 14 16 17 17 15 13 13 13 13 12 10 7 6 6 6 5 5 5 6 7 7 8 8 9 9 9 10 12 13 13 14 18 21 21 17 12 8 6 5 6 8 9 10 11 9 8 6 6 7 10 13 14 14 12 10 10 10 10 8 7 7 7 7 7 7 9 11 12 12 10 8 6 6 8 10 11 11 10 10 10 10 10 10 8 7 6 5 5 5 5 5 5 5 8 11 15 17 19 19 19 18 14 9 4 4 nan
nan 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 8 8 8 8 7 8 8 8 9 9 9 8 8 8 8 8 7 7 7 8 10 10 9 9 10 10 10 10 9 9 9 9 9 10 10 11 11 11 11 10 10 10 11 11 11 11 10 10 10 10 10 10 11 12 13 16 17 16 14 14 14 15 15 15 13 11 8 5 3 2 4 7 8 5 2 4 8 13 16 19 21 20 18 16 16 16 16 15 14 11 10 9 9 9 8 8 9 9 9 8 8 8 9 10 12 13 13 12 14 18 21 21 17 12 8 6 5 5 7 9 11 11 9 8 7 6 7 10 12 15 15 14 11 9 8 8 7 7 8 10 11 12 13 14 15 15 14 11 9 6 4 5 7 8 9 8 7 7 7 7 7 7 6 5 5 5 5 5 6 7 8 10 13 16 19 21 21 20 18 13 7 3 4 nan
nan 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 7 8 8 8 8 8 8 8 8 7 7 8 8 8 9 8 8 8 8 9 9 9 8 7 7 8 9 10 9 9 10 10 10 10 9 9 9 9 10 10 11 11 11 10 10 11 11 11 11 11 11 11 10 10 10 10 11 12 13 16 18 19 18 16 15 16 16 16 14 11 8 6 5 5 8 13 17 16 10 3 0 3 8 14 18 21 21 20 18 18 18 18 17 15 13 12 13 13 14 14 14 14 13 11 9 7 7 8 9 10 11 10 10 12 15 19 19 16 12 9 8 6 5 7 9 10 10 9 8 8 9 10 12 13 14 14 11 9 7 7 7 8 8 8 8 11 15 18 19 19 17 15 12 9 7 6 6 7 9 9 9 8 8 7 6 6 6 6 6 5 5 5 6 8 10 11 11 11 13 16 18 20 20 17 11 5 2 3 nan
nan 8 8 7 7 7 7 7 7 7 7 7 7 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 9 9 9 8 8 7 8 9 9 10 10 11 11 10 10 9 9 9 10 10 10 10 10 10 11 11 11 10 10 11 11 11 10 10 10 11 12 13 16 19 21 22 20 17 16 16 16 14 11 8 5 5 6 9 13 18 22 20 13 4 -2 -1 4 11 16 19 20 20 19 19 18 17 16 14 12 11 12 15 17 19 20 19 17 13 8 6 5 6 7 7 7 7 8 10 13 16 17 15 11 10 9 8 6 6 7 9 10 9 9 9 11 12 13 14 14 12 9 7 6 7 7 7 3 0 1 6 14 20 22 20 16 13 10 9 9 8 8 9 10 10 11 11 11 10 9 7 7 6 6 4 4 5 7 10 11 11 9 7 7 9 13 17 18 16 10 4 2 3 nan
nan 8 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 9 9 9 8 8 8 9 10 10 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 11 11 11 10 10 10 12 13 16 19 20 21 20 19 16 14 13 12 10 6 4 2 4 7 10 12 16 18 18 11 4 -1 -2 2 8 11 14 16 17 17 17 16 14 12 11 10 10 11 14 17 20 21 21 17 12 7 5 4 5 5 5 5 6 8 9 12 14 15 13 10 9 9 9 7 6 6 7 8 8 9 10 12 13 13 13 13 13 12 9 8 8 6 2 -5 -9 -7 2 11 19 21 17 13 9 8 8 9 10 10 10 10 10 11 12 14 13 11 10 8 6 5 3 3 5 8 11 11 10 8 5 3 4 8 13 15 14 10 7 6 7 nan
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nan 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 8 8 8 7 7 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 9 9 9 9 9 8 8 8 8 9 9 10 11 12 12 12 12 11 10 10 10 10 10 11 11 12 11 11 10 10 10 12 16 21 24 24 21 16 11 10 11 11 9 7 7 9 10 10 9 8 8 11 13 13 11 9 6 4 4 4 7 10 12 12 13 16 20 23 23 20 17 16 15 14 13 12 12 14 16 18 19 17 13 9 7 5 3 1 -0 2 7 11 15 16 15 14 12 10 7 6 5 6 8 11 12 13 11 10 9 10 11 12 13 14 14 12 10 8 5 2 1 4 8 13 17 20 20 18 16 14 11 9 7 5 3 1 1 3 6 7 6 5 3 2 3 5 7 8 8 7 8 10 13 14 13 12 12 14 16 17 14 9 5 3 2 2 2 3 nan
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nan 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 6 6 5 5 5 6 6 6 6 6 6 7 7 8 8 8 9 9 9 10 10 11 11 10 9 8 7 7 9 13 17 19 18 14 10 8 6 5 6 7 9 11 13 13 13 13 14 14 13 10 7 4 4 5 5 6 6 7 9 9 9 9 8 9 11 13 14 14 13 11 8 5 5 5 6 7 7 6 6 6 7 7 7 6 6 6 6 8 9 11 12 14 16 18 18 18 18 16 14 12 11 10 10 10 11 10 10 9 8 7 6 5 5 6 8 10 14 17 17 15 12 9 7 6 6 5 4 5 7 9 11 9 7 7 9 11 11 10 8 9 11 11 11 10 9 9 10 11 12 13 13 13 12 10 7 4 3 4 6 8 10 10 8 6 6 8 9 9 9 10 12 15 17 16 13 9 6 4 1 1 3 7 10 12 14 17 20 21 nan
nan 7 6 6 6 6 6 6 7 7 7 8 8 7 7 7 6 6 6 5 5 5 6 6 6 7 7 7 7 8 8 8 8 9 9 9 10 12 13 12 12 10 8 8 8 12 15 16 16 13 9 7 6 6 6 7 9 11 12 13 12 13 13 14 13 11 8 6 6 8 9 10 11 9 8 8 9 9 8 8 9 10 11 11 10 9 7 6 5 6 7 8 8 8 7 6 5 6 7 7 7 7 7 7 7 7 8 9 12 14 15 14 15 15 15 14 13 11 10 10 11 11 11 10 9 8 7 6 6 7 8 11 15 20 18 14 12 10 10 9 7 6 6 7 8 9 8 5 3 4 7 10 11 9 7 7 10 12 13 13 13 13 11 9 8 8 8 8 8 7 5 4 5 6 8 9 11 11 10 9 8 9 10 11 11 12 14 16 17 16 14 11 7 3 2 3 4 7 9 12 15 18 20 20 nan
nan 7 6 6 6 6 6 6 7 7 7 8 8 7 7 7 7 6 6 5 5 5 6 6 6 7 7 7 7 8 8 8 8 9 9 10 10 11 13 13 13 12 11 9 9 11 13 15 14 12 9 7 6 7 7 8 10 11 12 13 13 13 13 13 13 11 10 9 9 11 13 15 14 10 8 6 6 7 7 7 7 8 7 7 7 7 7 6 7 7 8 9 10 10 8 7 6 7 8 9 10 10 9 7 5 4 4 6 9 11 12 12 13 15 17 17 15 12 10 10 10 10 10 10 9 8 7 7 7 7 7 10 14 18 17 15 13 13 13 11 8 6 5 6 7 7 5 3 2 3 6 9 11 10 8 7 9 12 14 15 15 14 11 7 5 5 5 6 6 5 4 4 4 6 7 9 12 13 13 13 12 12 12 13 14 15 16 16 16 16 15 12 8 4 4 5 7 9 11 14 17 20 20 19 nan
nan 7 6 6 6 6 6 6 7 7 7 8 8 7 7 7 7 6 6 5 5 5 6 6 6 7 7 7 7 8 8 8 9 9 9 10 11 11 12 13 14 14 13 11 10 11 13 15 14 13 10 8 7 7 8 9 10 11 12 13 14 14 14 13 12 11 10 10 10 12 14 16 14 11 7 5 4 4 4 5 7 7 7 6 6 7 8 8 7 7 8 9 9 10 9 9 9 10 11 12 13 13 11 7 4 3 5 7 9 8 8 9 11 15 17 18 17 14 11 10 10 9 9 9 9 9 8 8 8 8 7 8 11 16 19 19 17 14 12 9 6 6 6 7 8 7 6 6 5 5 7 9 10 10 8 7 8 10 12 14 14 13 10 6 6 6 6 7 6 6 6 5 4 4 5 7 11 14 16 17 17 16 16 16 16 16 16 15 15 15 14 11 6 3 4 6 8 9 10 13 17 20 19 17 nan
nan 7 7 6 6 6 6 6 6 7 7 7 8 8 7 7 6 6 6 5 5 6 6 6 6 7 7 7 8 8 8 8 9 9 9 9 10 11 12 13 14 14 13 12 11 12 14 15 15 14 12 11 9 8 8 8 10 11 12 13 14 15 15 14 12 11 9 9 9 11 13 15 14 12 8 5 4 4 4 6 8 9 9 8 8 8 9 9 8 8 8 8 8 8 8 9 10 11 12 13 14 13 11 8 6 7 10 13 13 9 6 7 9 12 16 18 18 16 13 11 10 9 8 8 8 9 10 10 10 9 7 7 9 13 17 18 16 11 8 6 7 8 8 8 8 9 11 12 11 10 9 8 7 7 6 6 7 8 10 12 12 11 10 9 8 8 7 8 9 10 10 9 6 5 4 5 9 13 15 17 18 18 18 18 18 18 16 15 13 11 9 4 1 1 3 5 7 7 7 9 14 17 17 15 nan
nan 8 7 7 7 7 6 6 6 6 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 9 9 9 9 10 11 12 13 13 13 13 13 12 13 14 15 15 14 13 11 9 8 7 8 9 10 11 12 14 15 15 14 13 11 10 8 8 9 11 14 14 13 10 8 6 6 7 8 10 11 10 9 8 9 11 11 11 10 9 8 7 7 7 8 9 10 11 11 12 11 10 10 11 15 19 21 20 15 9 7 7 9 13 16 16 15 13 12 11 10 9 8 8 9 11 11 11 10 8 7 7 10 12 13 12 9 8 9 10 10 9 7 7 10 14 16 16 14 11 8 5 3 4 5 7 8 9 10 10 9 9 9 9 10 10 12 16 17 16 13 9 6 5 5 8 11 14 16 18 19 20 21 21 21 18 15 10 6 1 -2 -2 1 5 7 8 7 6 8 12 14 15 14 nan
nan 8 8 8 8 7 7 7 6 6 6 7 7 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 9 9 9 10 11 12 13 13 13 13 13 13 13 13 14 13 13 12 10 9 8 8 8 8 8 9 10 11 12 13 13 13 11 10 9 8 8 10 12 15 13 12 10 10 9 10 11 11 11 10 9 8 9 11 12 13 12 10 9 7 7 6 6 7 7 7 8 8 8 9 13 17 20 23 24 23 19 14 11 10 10 12 14 13 12 11 12 12 11 10 8 8 9 10 12 12 11 9 8 7 8 9 11 12 13 13 12 12 11 9 7 7 11 15 17 16 14 11 7 4 2 3 6 8 9 9 8 7 6 7 9 10 11 13 15 20 21 18 13 9 6 4 5 7 11 15 19 21 22 21 21 22 21 19 14 8 2 -4 -5 -2 2 6 10 11 10 10 11 13 14 14 13 nan
nan 9 9 9 9 8 7 7 6 6 6 7 7 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 9 9 9 10 10 11 12 13 13 13 14 13 12 12 12 12 12 12 10 9 10 10 10 9 8 7 7 8 9 9 11 11 11 10 9 9 9 11 14 16 16 14 13 12 11 11 11 11 9 7 7 6 7 8 9 9 10 9 9 9 8 7 5 5 5 5 5 6 7 9 13 17 20 21 20 19 17 15 13 12 12 12 12 11 10 10 11 12 12 10 9 8 9 10 11 12 12 10 8 8 8 10 12 15 17 17 13 10 9 10 11 13 16 17 16 14 12 10 8 4 3 5 9 12 12 10 6 5 6 8 10 11 11 11 11 14 15 13 10 6 3 1 2 6 12 18 23 25 23 19 16 16 16 14 10 4 -1 -4 -4 -1 2 6 10 12 12 12 12 13 14 13 13 nan
nan 9 10 10 10 9 8 7 7 6 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 10 11 12 13 14 14 14 13 12 11 11 12 12 12 12 12 13 13 13 12 10 7 5 5 6 7 8 9 9 9 9 10 11 14 17 19 18 16 13 12 11 10 10 9 8 6 4 4 4 5 5 4 5 6 8 9 8 6 5 4 4 4 5 6 7 7 10 14 15 15 13 12 12 11 10 10 11 12 11 10 8 8 9 10 10 10 9 8 9 10 11 11 11 11 9 9 9 10 13 16 17 15 10 7 7 9 13 18 21 20 17 13 12 10 9 6 5 8 12 15 14 9 4 4 8 10 12 12 10 7 5 4 6 6 5 4 2 0 1 5 11 18 22 23 20 14 10 9 9 7 5 -0 -4 -4 -0 3 6 7 9 10 11 11 12 13 14 14 13 nan
nan 9 10 10 10 10 9 8 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 10 11 12 13 14 14 14 13 12 12 11 11 12 12 13 13 14 15 15 14 11 7 5 4 5 7 8 8 7 6 7 8 11 14 18 19 19 16 13 10 9 8 8 7 6 5 3 2 2 2 2 1 2 3 5 7 6 5 4 4 4 5 6 6 7 6 7 9 10 10 9 7 5 5 5 6 8 9 8 7 6 6 7 8 10 10 9 9 9 9 10 11 11 11 10 10 10 11 14 15 14 10 7 5 5 7 11 16 21 22 21 17 13 11 10 9 9 11 13 13 11 5 2 4 9 12 13 13 10 5 1 -0 0 2 4 6 6 5 3 5 9 13 16 17 14 9 5 4 4 4 4 0 -2 -0 5 10 13 13 11 9 9 10 11 12 13 14 13 nan
nan 9 10 10 10 10 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 10 12 13 14 15 15 14 13 12 11 11 10 11 11 12 13 14 14 12 10 7 6 7 8 10 10 8 5 4 4 4 6 9 13 15 15 13 11 8 5 4 3 3 2 2 2 0 0 0 0 0 0 1 2 3 4 4 5 5 5 5 6 7 7 6 6 7 8 8 6 3 1 0 1 3 5 6 5 5 5 5 7 9 11 12 11 10 9 9 9 10 11 11 11 11 11 12 13 13 10 8 7 6 6 6 7 12 17 21 23 21 17 14 12 12 12 11 10 8 4 1 1 5 9 13 16 15 12 7 2 0 1 4 7 10 11 10 7 7 9 11 13 14 11 6 2 1 2 4 6 4 3 6 11 15 18 16 13 9 8 9 10 11 12 13 13 nan
nan 8 9 9 10 10 10 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 8 8 8 9 9 9 10 10 11 13 14 15 16 14 13 12 11 11 9 9 9 10 11 12 12 12 10 9 9 10 11 12 12 8 5 3 2 1 1 3 4 7 7 7 6 4 2 1 1 1 1 1 0 -0 -0 1 2 2 2 2 2 3 4 6 5 5 4 5 7 8 8 8 7 7 9 8 6 4 2 1 1 2 4 4 5 5 6 6 8 10 12 13 12 11 10 9 9 10 10 10 11 11 11 12 12 10 9 10 11 12 10 7 5 8 12 16 19 20 18 14 10 9 9 9 8 6 4 2 2 4 8 12 17 17 14 8 3 1 2 5 9 13 15 15 13 11 11 12 13 13 11 6 3 1 2 5 7 8 8 11 14 17 17 15 11 9 8 8 9 9 10 12 13 nan
nan 8 9 9 10 10 10 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 6 6 6 6 6 7 7 8 8 9 9 9 10 11 12 13 14 15 16 15 13 12 11 10 9 7 7 8 9 10 11 12 12 11 11 12 13 14 13 10 7 5 4 2 1 0 1 2 4 4 4 4 4 5 6 7 7 7 6 6 5 5 6 7 7 7 7 6 6 6 6 5 5 5 7 9 9 9 9 8 9 8 8 8 7 6 5 5 5 6 7 7 7 7 8 9 11 12 12 11 11 10 10 10 10 10 10 10 11 11 11 10 12 14 16 17 12 6 4 4 7 9 11 14 15 11 5 2 3 7 9 10 9 6 4 4 6 9 14 16 13 7 3 2 3 5 7 10 15 16 15 13 12 12 12 11 10 7 5 3 3 5 7 8 10 12 14 16 15 13 10 9 8 8 8 8 9 11 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
CAPE
9 13 17 17 15 14 15 17 17 16 16 15 15 17 17 18 17 16 17 17 15 14 10 10 10 10 11 10 9 10 12 14 16 16 13 13 13 14 16 17 18 19 22 25 24 23 22 23 23 24 25 26 26 26 26 24 23 24 24 26 26 24 23 21 21 22 21 20 20 20 21 20 19 20 21 20 19 18 18 17 16 14 14 14 13 12 11 11 11 10 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 8 9 10 11 10 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 17 440 1227 1993 2500 2675 2291 1579 986 667 492 355 246 185 167 170 184 222 284 347 386 402 422 456 484 530 609 735 958 1296 1586 1508 1285 1162 1106 1020 879 735 645 604 570 427 250 128 68 45 37 17 3 1 0 0 0 0 0 0 0 0 1 8 39 148 472 1005 1357 1356 1249
13 16 17 17 15 15 16 17 17 16 15 14 14 16 19 19 17 16 17 17 16 14 12 11 9 9 10 11 10 9 9 11 13 14 14 13 13 12 12 14 16 18 20 21 21 21 21 21 22 23 24 25 28 29 28 25 24 24 24 25 29 27 27 26 24 22 21 20 20 21 20 19 20 21 21 21 20 19 18 17 16 15 14 14 13 12 11 11 10 9 8 8 7 7 7 7 7 7 6 6 6 6 6 6 7 7 8 9 11 12 12 10 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 147 737 1550 2171 2448 2321 1706 1067 696 484 334 221 153 128 131 162 231 315 369 389 399 430 483 520 539 612 728 993 1310 1467 1307 1117 1063 1044 958 809 667 587 562 534 377 167 61 25 20 17 8 2 0 0 0 0 0 0 0 0 0 2 8 24 158 617 1205 1410 1246 1027
17 17 17 16 16 16 17 17 16 14 12 11 12 16 17 17 17 17 18 19 17 15 13 11 10 10 10 10 10 9 8 8 9 11 12 14 14 14 12 12 13 15 18 19 19 20 20 18 20 21 22 24 27 30 31 26 25 26 26 26 28 26 27 27 24 21 20 21 21 20 20 20 21 23 22 21 21 19 17 17 16 15 14 14 13 12 11 11 11 10 9 8 7 7 7 7 7 7 6 6 6 7 7 7 8 8 9 10 12 13 13 9 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 382 1123 1764 2203 2295 1875 1228 793 557 379 242 152 114 124 167 234 307 352 372 391 430 489 536 569 852 975 1156 1317 1322 1152 998 965 959 864 707 569 509 481 376 188 59 17 9 10 7 2 0 0 0 0 0 0 0 0 0 0 2 3 3 107 533 979 1054 864 693
18 18 18 18 17 18 18 17 16 14 11 10 11 12 13 13 14 16 18 17 17 15 12 11 11 11 11 10 9 9 8 7 6 7 10 13 14 14 13 12 11 12 14 16 17 18 19 18 19 20 22 22 23 25 26 26 26 27 27 28 27 25 26 25 23 22 22 22 22 21 21 23 23 23 22 21 20 19 17 17 16 14 14 13 13 12 11 11 10 9 9 8 8 7 7 7 7 7 7 7 7 7 8 8 8 9 11 13 14 16 14 9 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 13 157 653 1285 1818 2112 1953 1399 921 673 493 328 211 146 131 154 200 249 283 317 377 460 568 717 947 1386 1401 1355 1325 1233 1078 948 895 855 744 643 622 618 464 198 47 13 3 8 10 7 3 0 0 0 0 0 0 0 0 0 0 1 1 1 24 269 504 519 386 296
20 19 19 20 19 18 18 17 17 16 13 11 10 10 9 9 10 11 13 13 13 13 13 14 14 15 14 13 10 8 8 7 7 7 9 12 14 15 14 13 12 12 12 13 14 16 18 19 22 25 26 24 22 21 24 26 27 27 27 28 26 25 24 23 22 22 23 23 22 22 23 24 22 22 21 21 20 18 17 17 15 14 13 13 12 11 11 11 10 9 9 9 8 8 8 8 7 7 7 7 8 8 8 9 9 11 13 15 16 17 13 6 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 2 41 243 764 1294 1742 1843 1532 1081 768 614 467 325 227 176 160 166 182 218 288 414 551 737 1041 1464 1832 1775 1558 1364 1195 1051 947 880 820 761 777 776 593 291 64 8 6 1 10 14 15 11 5 1 0 0 0 0 0 0 0 0 0 0 1 2 28 79 104 90 78
18 18 18 19 19 18 17 17 18 18 16 14 13 11 9 7 8 9 8 9 10 11 13 15 18 19 17 13 9 7 8 9 10 10 11 12 14 15 16 16 15 14 13 12 12 13 15 17 21 25 27 25 21 19 21 25 27 28 27 27 25 24 24 23 24 24 25 25 24 24 23 23 23 22 21 20 19 18 17 16 15 14 13 13 12 11 11 10 9 8 9 9 9 8 8 8 8 7 7 8 8 8 9 10 11 13 16 18 19 19 13 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 70 302 775 1250 1567 1513 1189 876 690 595 488 365 273 226 210 214 259 369 502 640 830 1148 1597 1993 1998 1759 1434 1187 1061 1004 961 925 934 985 806 361 99 15 9 8 8 23 36 41 32 16 4 0 0 0 0 0 0 0 0 0 0 1 1 1 2 9 22 35
16 15 16 16 17 17 16 15 16 16 16 17 17 15 11 9 8 7 6 6 6 8 11 15 18 19 17 12 9 9 12 15 18 19 17 16 15 16 19 21 20 18 16 14 12 12 12 12 14 17 20 20 17 16 20 25 28 28 28 26 25 25 25 25 26 27 27 26 24 24 23 23 22 22 20 19 17 16 16 16 15 14 13 13 12 11 11 9 8 8 8 8 9 8 8 7 7 8 8 8 9 10 11 12 14 16 19 22 23 20 13 5 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 1 15 91 348 743 1148 1313 1184 922 735 650 607 532 430 352 324 341 384 451 572 675 819 1067 1419 1743 1876 1846 1522 1224 1124 1105 1091 1096 1132 1083 691 159 22 11 15 16 28 61 100 109 79 38 11 4 4 5 0 0 1 1 0 0 1 0 0 0 0 2 7 12
13 13 13 14 14 14 14 14 13 14 15 15 16 18 16 14 11 8 5 4 4 6 10 13 15 16 14 12 11 14 17 19 20 20 20 19 18 19 21 24 25 23 20 18 15 13 12 11 11 12 13 14 13 14 18 24 27 29 29 28 26 25 26 26 27 27 27 26 25 25 23 22 20 19 18 17 16 15 15 15 14 14 14 13 12 11 10 9 8 8 8 8 8 8 7 7 7 8 8 8 10 12 14 16 18 20 23 25 24 21 14 6 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 20 105 351 703 986 1058 908 708 600 582 593 564 492 437 433 471 534 617 673 745 880 1103 1436 1753 1836 1581 1287 1224 1236 1251 1281 1280 1087 565 90 14 10 22 35 68 132 194 190 130 72 41 30 23 19 8 3 2 2 1 0 0 0 0 0 0 1 1 1
11 11 12 12 13 13 12 11 11 11 11 12 12 14 16 15 13 10 7 6 6 5 8 10 12 13 13 14 17 19 19 17 15 13 15 18 19 19 20 23 26 26 24 21 19 17 16 14 12 11 10 11 11 13 18 24 26 28 29 28 27 26 25 23 23 24 25 25 25 24 24 21 19 17 17 16 16 15 14 14 14 14 14 12 11 10 9 8 8 8 8 8 7 7 7 8 8 8 9 10 11 14 16 18 21 24 26 27 25 20 13 6 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 19 106 315 623 819 803 646 506 469 508 548 547 512 498 531 596 656 690 713 781 954 1296 1651 1789 1619 1369 1344 1420 1464 1464 1356 1022 469 126 36 22 33 71 153 262 327 294 211 164 131 104 73 45 22 5 3 3 1 0 0 0 0 0 0 0 0 0
11 11 10 11 10 10 9 9 9 8 8 8 8 9 11 11 13 13 11 9 8 7 7 9 8 8 11 14 16 18 17 15 13 12 13 15 17 18 19 21 24 26 27 26 24 22 21 20 17 13 12 11 14 18 23 26 27 27 27 29 28 27 25 23 23 24 24 24 23 23 23 21 19 17 16 15 14 13 13 13 14 14 13 12 11 10 8 8 8 8 8 7 7 7 7 8 8 9 10 11 14 15 18 22 24 26 28 29 27 20 13 5 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 14 90 296 539 629 538 411 360 386 427 467 482 521 567 624 674 700 718 795 1018 1344 1641 1745 1626 1469 1499 1583 1498 1343 1074 685 293 100 40 34 67 165 315 463 539 510 440 426 348 251 150 79 41 8 2 3 1 0 0 0 0 0 0 0 0 0
9 9 8 7 7 7 7 7 7 7 7 6 6 5 6 7 9 11 11 9 8 8 8 8 6 5 7 10 13 16 17 17 17 17 17 16 17 18 18 20 21 23 25 26 26 26 26 26 23 20 16 15 19 24 26 26 26 26 26 27 26 27 26 24 24 24 22 22 22 22 21 21 19 16 15 14 13 13 13 14 14 13 12 11 10 9 8 8 8 8 7 7 7 7 7 8 9 10 11 13 16 18 20 23 26 29 31 31 27 19 12 5 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 21 122 359 515 488 377 297 285 312 346 390 477 562 627 668 720 839 1073 1399 1636 1755 1756 1689 1623 1592 1471 1151 862 606 390 243 143 69 53 158 355 570 728 801 808 811 836 642 400 228 143 86 24 3 2 1 1 0 0 0 0 0 0 0 0
7 6 5 5 5 5 5 5 5 5 5 4 4 3 3 4 5 6 7 7 7 8 9 8 6 5 5 8 13 17 18 18 19 20 19 19 19 19 19 19 20 21 21 21 23 25 27 31 25 23 22 21 24 26 26 26 26 25 25 25 25 27 25 24 23 22 22 21 22 21 20 19 18 16 16 15 13 14 14 14 14 13 11 10 9 8 8 8 8 7 6 7 7 7 7 8 9 10 13 15 18 21 23 25 28 31 33 32 26 17 12 5 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 4 73 283 517 565 459 330 262 253 272 320 411 514 585 657 834 1162 1583 1919 1996 1930 1881 1815 1652 1377 999 615 445 434 428 447 419 316 261 338 548 776 931 1008 1061 1108 1067 724 399 265 198 128 53 12 1 1 1 0 0 0 0 0 0 0 0
4 3 3 3 3 3 3 3 3 3 3 3 2 1 1 2 2 2 3 4 5 6 8 8 7 6 7 10 14 16 17 18 19 20 19 19 20 20 19 20 20 20 18 17 19 21 24 26 23 26 24 25 26 27 26 26 26 25 25 25 26 25 25 25 24 22 22 21 21 20 21 20 19 17 16 15 14 14 14 14 13 12 11 10 8 8 8 8 7 6 6 7 7 8 8 8 9 11 14 17 20 22 24 27 29 32 35 32 23 15 10 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 30 149 383 590 592 471 369 308 279 288 355 476 561 675 921 1340 1805 2111 2155 1991 1779 1553 1215 820 461 257 310 481 590 716 724 630 571 625 766 917 1018 1083 1162 1197 1055 700 363 255 205 141 68 18 1 0 0 0 0 0 0 0 0 0 0
3 2 2 2 1 2 2 2 2 2 3 2 2 2 3 3 3 2 2 3 3 3 5 6 7 7 9 11 14 16 16 17 18 19 19 20 20 21 19 19 19 20 20 19 17 18 19 20 19 22 22 23 24 25 25 26 26 25 25 24 24 24 25 24 24 22 21 21 20 19 19 20 18 17 16 15 14 14 14 13 12 11 11 10 8 8 8 7 6 6 6 6 7 8 8 8 10 12 15 18 21 23 25 28 31 34 34 30 23 15 7 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 30 119 316 512 556 496 411 333 309 367 482 576 695 912 1252 1640 1924 1998 1796 1297 858 539 296 156 161 310 494 688 915 983 916 819 831 940 1067 1148 1180 1240 1247 1045 660 370 294 253 172 81 21 1 0 0 0 1 0 1 1 1 0 0
2 1 1 1 1 2 2 2 2 3 4 3 3 4 5 6 7 7 6 5 5 5 5 5 6 7 8 11 14 15 16 16 18 19 20 20 19 20 19 18 18 19 21 21 19 17 16 16 16 18 19 20 21 22 24 25 26 26 27 25 24 23 23 23 23 21 21 21 21 20 19 20 18 17 16 14 14 13 13 12 12 11 9 9 8 8 7 6 6 6 6 6 6 7 8 8 10 12 15 18 21 24 26 28 29 28 26 23 21 14 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 13 78 201 334 400 398 372 371 404 463 581 704 847 1047 1359 1599 1543 1156 706 344 181 117 132 196 291 431 682 918 979 944 908 928 1006 1149 1283 1295 1263 1248 1093 766 543 483 378 231 104 28 1 1 1 0 1 0 2 5 5 3 2
2 2 2 3 3 4 4 5 5 5 5 5 6 7 8 10 11 13 12 11 10 9 8 8 7 7 8 10 11 13 15 17 17 18 19 19 19 18 19 19 18 18 19 21 21 19 15 15 15 17 18 18 19 20 21 22 24 25 25 25 23 22 22 23 24 23 21 21 21 21 21 19 17 18 15 14 13 13 13 12 11 10 9 8 8 7 6 6 6 6 6 6 6 6 7 9 11 14 17 19 21 24 27 26 22 17 15 14 14 11 4 1 0 0 0 0 0 0 0 0 0 1 2 3 7 10 8 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 38 98 179 250 326 383 425 476 553 655 775 922 1111 1213 1072 721 406 261 173 222 273 303 339 435 610 739 778 792 823 890 972 1077 1249 1337 1334 1262 1072 839 679 576 478 318 143 41 8 4 0 0 0 0 2 6 7 6 5
3 3 4 6 7 8 9 9 10 10 10 10 11 12 13 13 14 15 15 14 13 13 14 13 10 8 7 8 10 11 13 15 16 17 18 18 18 18 18 18 18 18 19 21 22 22 21 19 18 19 19 18 17 17 17 19 20 21 21 21 21 22 21 22 22 21 20 20 21 21 22 20 18 17 15 14 13 13 13 12 11 9 8 8 7 7 6 6 5 5 5 5 5 7 8 10 13 15 18 19 22 24 22 17 13 9 8 8 9 8 3 1 0 0 0 0 0 0 0 0 3 9 18 25 29 24 11 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 30 81 149 253 338 399 451 527 649 798 911 942 874 703 530 447 423 415 488 472 474 477 504 575 649 705 779 842 852 876 949 1066 1241 1337 1254 1024 798 647 534 430 268 113 42 21 18 14 8 1 0 0 2 4 5 7
4 5 7 9 11 12 13 14 13 12 14 14 13 13 14 14 13 12 11 11 12 13 15 15 13 9 6 7 8 9 12 14 15 16 16 16 15 14 14 15 17 18 19 22 23 24 24 24 23 20 19 17 16 15 15 17 17 17 18 18 20 21 20 21 23 22 21 20 20 22 22 19 18 17 15 14 12 12 12 11 10 9 8 7 6 6 5 5 5 4 4 5 6 7 9 11 13 15 16 17 18 18 15 11 7 5 4 5 6 5 3 1 0 0 0 0 0 0 0 4 14 29 41 43 29 11 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 8 16 15 17 35 58 95 153 242 319 391 467 595 764 900 916 800 659 537 499 564 676 718 728 664 654 608 576 610 703 797 870 914 872 861 875 910 1061 1254 1194 929 681 560 509 378 162 69 40 40 49 56 45 13 4 1 1 3 4 7
6 7 8 11 14 15 16 16 16 15 15 14 13 12 12 10 8 6 6 7 8 11 13 14 14 11 8 7 7 8 10 12 13 15 15 14 13 12 12 13 15 17 18 20 20 21 23 24 23 21 19 16 15 15 15 15 16 16 16 16 17 18 18 20 21 21 19 19 20 21 21 20 18 17 15 13 12 12 11 10 9 8 7 5 4 4 4 4 4 4 3 4 7 9 10 12 14 16 16 13 13 13 12 9 5 2 1 3 4 4 3 2 1 0 0 0 0 1 6 18 34 43 43 31 13 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 7 4 1 8 42 114 202 222 205 171 161 197 270 352 434 549 722 905 1011 973 827 722 613 597 679 802 905 947 872 773 648 580 603 691 790 881 874 840 804 797 846 971 1136 1095 774 517 410 377 322 214 103 67 73 94 124 122 66 23 4 1 2 2 3
9 9 10 12 15 16 16 15 14 13 12 12 11 10 10 8 7 6 7 8 9 10 12 14 14 13 11 9 9 9 10 11 12 13 13 13 12 10 10 11 12 14 16 17 17 18 21 22 22 20 18 16 16 17 17 17 16 16 15 14 14 15 16 17 18 17 16 17 19 20 20 20 18 17 15 13 13 12 11 9 8 7 6 4 3 4 3 3 3 3 3 4 6 9 10 12 14 15 13 10 11 11 9 7 5 3 1 2 2 2 2 3 7 12 10 5 6 14 24 34 40 32 21 11 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 8 3 1 9 57 166 309 374 346 300 266 286 351 424 507 652 846 1035 1143 1123 1013 937 833 793 878 1036 1169 1177 1033 821 648 578 603 669 716 735 813 953 978 947 958 1035 1111 1067 719 448 334 268 222 194 115 80 115 156 223 252 189 75 9 2 2 3 2
13 12 13 15 16 16 15 14 13 11 10 10 9 9 9 9 9 10 11 12 13 12 13 13 14 14 14 12 11 11 10 10 10 10 12 12 12 11 10 10 10 12 14 15 15 16 18 20 21 19 16 16 17 19 20 19 18 17 15 14 13 13 14 16 17 15 14 16 19 20 20 20 19 18 15 13 12 12 10 9 7 6 5 4 3 3 2 2 2 2 3 4 5 6 7 9 10 10 10 8 7 7 6 5 5 4 2 1 1 1 2 8 20 35 39 28 25 29 31 29 20 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 4 1 0 6 52 161 302 406 467 408 366 378 431 500 584 723 917 1102 1219 1230 1162 1087 1014 987 1086 1248 1336 1275 1098 864 689 622 624 655 689 729 818 978 1005 980 973 1004 1037 1008 838 604 424 331 285 247 177 92 161 240 335 389 324 152 23 2 2 3 3
15 15 15 15 15 15 14 12 11 9 10 10 10 10 11 11 12 13 13 14 15 14 13 12 13 14 15 15 13 12 10 8 7 7 8 10 12 12 11 10 11 11 12 14 15 15 16 18 19 17 15 16 18 20 22 21 21 19 17 15 14 13 14 16 18 16 14 16 20 21 20 20 19 17 14 13 12 11 10 8 7 5 3 2 2 2 1 1 0 0 1 2 3 3 3 4 5 6 5 4 5 7 3 4 5 4 2 1 1 0 2 5 11 25 37 32 23 13 8 7 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 0 1 18 83 210 352 466 559 507 465 463 500 565 654 776 938 1099 1211 1257 1255 1226 1182 1147 1210 1316 1360 1298 1142 938 764 682 652 653 686 732 779 839 791 804 849 891 917 930 943 835 544 432 415 373 283 207 220 299 375 400 319 160 29 1 2 3 3
15 15 15 15 15 15 14 13 12 12 12 13 13 13 13 13 13 13 12 14 14 13 12 12 12 14 15 15 14 13 10 6 5 5 6 7 9 11 12 11 11 11 11 11 13 15 17 19 19 18 16 16 17 19 20 21 23 22 20 17 15 14 16 18 20 18 16 18 21 22 21 20 18 16 14 13 12 11 10 8 5 3 2 1 0 0 0 0 0 0 0 1 1 2 2 2 1 2 1 3 12 20 13 8 7 5 2 0 0 0 0 1 1 3 5 3 0 0 0 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 12 49 143 287 439 561 620 583 543 528 563 628 710 808 921 1054 1180 1267 1334 1358 1335 1301 1318 1350 1378 1351 1237 1060 880 760 703 699 769 853 889 849 743 732 742 766 823 905 965 908 678 571 533 485 404 332 316 350 365 337 245 119 23 0 2 3 3
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13 13 14 17 17 16 15 14 14 14 14 13 13 12 12 13 13 14 14 14 14 13 13 13 13 13 14 15 15 14 13 12 12 11 10 8 6 6 8 10 11 12 11 10 11 13 15 17 18 19 20 19 17 17 16 17 18 18 18 17 16 17 19 21 21 20 22 22 22 21 20 18 15 14 13 12 11 10 10 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 15 62 143 246 345 513 644 679 667 653 637 670 726 793 876 981 1103 1233 1332 1435 1516 1553 1547 1509 1446 1404 1355 1278 1182 1087 1007 942 912 969 995 978 882 665 461 398 492 619 720 800 871 914 919 843 770 639 519 445 393 340 310 253 118 22 0 0 0 2
13 14 16 19 18 16 14 14 14 14 14 13 12 12 12 13 13 14 14 14 14 14 15 15 15 14 14 15 16 16 15 16 17 17 15 12 9 7 7 8 10 12 13 13 12 13 15 17 18 19 20 21 20 19 17 17 16 14 13 13 15 17 19 19 19 18 20 18 18 18 18 16 14 13 12 11 10 10 8 6 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 4 2 0 0 0 0 1 27 90 176 271 373 544 733 804 794 756 713 699 725 791 886 998 1118 1222 1290 1414 1501 1590 1647 1637 1561 1463 1395 1344 1269 1186 1108 1036 979 952 795 570 414 345 290 289 405 524 606 680 760 840 885 820 757 613 502 445 415 390 389 339 150 31 0 0 0 1
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14 14 14 15 14 14 15 17 17 17 16 15 14 15 15 14 14 13 13 13 13 14 14 13 12 12 12 12 12 12 12 13 12 12 12 12 12 10 9 9 10 12 11 10 9 10 11 12 13 15 16 17 18 19 20 20 17 14 12 12 12 14 14 14 12 11 11 10 11 11 10 9 8 8 7 7 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 12 27 46 68 87 82 52 18 0 0 0 11 58 91 93 82 94 170 301 443 561 657 733 744 751 800 887 980 1037 1042 1003 944 902 900 967 1087 1240 1077 965 957 1031 1134 1206 1202 1136 1098 985 777 641 673 738 787 796 818 869 931 972 979 976 957 918 858 809 800 767 770 788 774 723 680 706 782 889 686 371 142 65 58 85 114 140 171
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