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
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nan 12 13 13 12 12 12 13 14 17 19 18 15 12 10 9 7 5 1 1 5 9 11 11 10 9 7 4 3 3 5 7 8 8 8 6 5 5 5 6 6 7 9 12 14 14 12 10 10 10 8 7 8 11 14 18 21 21 18 16 14 13 13 14 13 11 8 6 6 7 6 5 5 7 8 9 7 5 6 7 7 7 8 9 11 12 13 14 14 12 7 3 -0 0 2 6 9 11 12 15 16 16 13 9 7 6 6 5 3 1 2 4 6 7 9 11 12 13 14 16 19 21 21 19 13 6 1 2 5 7 7 7 7 7 7 9 13 15 14 11 7 6 6 9 11 9 7 5 5 4 5 6 6 5 3 5 9 12 11 9 6 4 3 5 8 10 8 5 4 4 5 5 6 6 6 7 8 9 10 10 10 9 8 7 6 6 7 7 6 6 nan
nan 12 13 13 12 11 11 13 15 17 18 17 14 12 10 8 7 5 4 3 6 8 9 9 9 8 8 6 4 3 4 6 10 12 12 11 8 6 6 7 8 10 12 14 14 12 10 9 8 6 5 7 8 9 10 13 16 19 19 17 16 15 15 14 13 10 7 5 5 7 7 5 4 4 7 9 8 5 6 9 11 11 9 9 10 12 13 14 14 12 9 6 4 3 2 5 9 12 13 14 15 14 11 6 3 4 6 8 8 6 5 6 6 8 9 12 14 13 13 13 16 19 21 18 12 7 6 9 12 11 8 4 2 -1 0 5 11 17 18 15 11 8 5 6 8 8 6 5 5 6 7 6 6 5 4 5 7 8 8 8 7 5 4 5 8 9 7 5 3 3 3 4 5 6 7 8 8 9 10 10 9 8 7 7 6 7 7 6 6 6 nan
nan 11 12 12 11 10 11 13 16 17 16 15 13 11 9 6 5 6 7 7 8 8 8 8 7 7 8 8 8 8 9 9 10 13 14 14 11 8 8 9 10 12 14 15 13 11 9 8 7 5 5 6 8 9 9 10 13 15 17 17 16 16 16 15 12 8 5 5 7 9 8 5 3 4 7 10 9 6 7 10 12 11 10 8 8 9 11 13 13 12 10 9 8 6 4 5 10 13 13 12 12 11 8 4 1 1 5 9 11 10 8 7 7 7 10 13 15 14 11 9 9 13 17 17 14 11 13 17 18 15 10 6 2 -1 -3 0 5 11 14 14 11 7 4 4 5 6 6 6 8 8 8 6 5 5 6 7 8 7 8 9 9 9 7 7 8 8 7 5 4 3 3 4 5 6 7 8 8 8 8 8 8 7 7 6 6 7 6 6 6 6 nan
nan 11 11 10 10 10 12 15 17 17 14 13 12 10 7 5 3 4 6 8 9 9 9 9 8 7 7 8 9 10 11 11 10 11 13 14 13 10 8 9 12 14 15 15 13 10 7 7 7 7 6 6 8 9 9 8 10 13 14 14 15 16 17 16 13 10 7 7 9 10 9 7 5 6 9 11 11 10 10 11 11 11 9 7 6 6 8 10 12 11 11 10 8 6 4 6 10 12 12 10 9 9 7 5 2 3 6 10 11 11 10 8 7 7 10 12 15 15 11 6 4 6 12 16 16 16 18 20 20 17 14 12 10 7 4 3 4 6 8 9 9 7 6 5 6 7 8 8 8 7 6 5 5 7 9 10 10 9 9 11 13 14 12 9 8 8 7 7 6 5 4 5 5 6 7 7 7 7 7 7 6 6 6 6 6 6 6 5 5 5 nan
nan 10 9 8 8 10 13 17 18 16 13 11 10 8 5 4 3 4 5 7 10 11 11 11 10 8 7 6 6 7 8 9 9 9 11 12 12 10 8 9 12 15 16 16 14 10 7 7 8 9 8 7 8 9 10 8 9 11 11 11 12 15 16 16 16 15 14 13 12 11 9 8 8 10 12 14 14 13 12 11 10 9 8 8 7 6 7 9 11 12 11 10 8 5 4 6 10 12 11 9 8 8 7 6 4 4 6 9 10 11 10 8 7 7 8 10 11 12 9 5 3 4 8 14 17 18 18 16 14 13 14 16 17 16 13 10 8 7 7 8 9 10 10 10 10 10 10 9 8 7 6 5 6 8 10 11 11 10 11 13 16 18 16 10 7 7 7 8 8 7 7 6 6 7 7 7 6 6 6 6 6 6 6 6 6 6 5 4 4 4 nan
nan 9 7 6 7 10 14 18 18 16 13 10 8 6 4 4 5 6 8 10 13 14 13 12 10 9 7 5 3 3 4 6 7 8 9 11 11 9 8 9 11 14 16 15 13 10 8 8 8 9 9 8 9 10 10 9 9 10 9 8 9 12 14 15 16 18 19 18 15 12 11 10 11 13 15 16 15 13 12 10 9 8 8 8 8 8 9 12 13 14 13 11 8 6 6 9 12 12 10 9 8 9 10 8 5 4 4 6 9 10 10 8 6 6 7 7 8 9 8 5 3 3 6 9 13 15 14 11 7 6 10 15 18 19 18 15 12 10 10 11 12 13 12 12 12 12 12 11 11 10 9 8 8 9 10 10 12 13 14 16 19 19 16 11 7 7 7 8 9 9 9 8 8 7 7 6 6 5 5 5 6 7 7 7 7 6 5 4 4 4 nan
nan 8 6 4 6 10 15 17 18 15 11 9 7 5 4 4 7 9 12 14 16 15 13 11 9 8 6 5 4 4 5 6 7 7 8 9 10 9 8 8 10 12 14 14 11 8 6 6 8 9 10 10 9 10 11 10 9 8 8 7 7 8 10 12 14 16 17 16 15 14 12 12 12 14 15 16 15 13 11 9 9 9 9 10 11 11 13 16 17 17 15 12 9 8 10 13 15 12 9 8 9 11 13 12 7 3 2 5 8 10 9 6 5 5 7 7 7 7 8 7 5 4 4 4 5 7 8 8 5 3 5 10 13 16 17 17 15 13 12 13 13 12 12 11 11 12 12 12 13 13 12 10 10 10 10 11 13 15 18 19 20 19 16 12 9 8 8 9 10 10 9 8 8 7 7 6 6 6 5 6 7 7 8 8 7 7 6 5 5 5 nan
nan 8 6 5 7 11 15 17 16 13 10 7 4 4 5 7 9 11 13 15 15 14 12 9 8 7 7 6 5 6 8 8 8 8 8 9 10 10 8 7 8 10 12 13 12 8 4 4 7 10 11 10 9 9 9 9 8 8 9 9 7 6 7 9 12 13 12 12 13 13 13 13 13 14 16 16 15 13 11 11 11 13 13 13 13 14 17 19 19 17 14 11 8 8 11 14 14 11 7 6 9 13 17 15 10 5 4 6 9 9 7 5 5 7 8 7 6 7 9 9 8 6 4 3 2 3 4 5 5 4 3 4 7 10 12 13 13 12 11 10 9 9 11 12 12 12 12 12 13 14 13 11 10 10 10 12 13 15 18 21 21 18 16 13 10 9 9 10 11 11 9 9 8 8 7 7 7 7 7 7 7 8 8 8 8 7 7 6 5 6 nan
nan 8 6 6 8 12 15 16 14 11 7 4 1 3 6 9 11 12 13 13 13 11 9 7 7 7 8 8 7 7 7 8 8 8 8 10 12 13 11 9 8 9 11 13 15 12 8 7 8 10 11 10 8 7 7 7 6 7 9 10 10 8 7 8 10 11 10 10 11 13 14 14 14 15 16 15 14 13 12 13 14 16 16 15 16 18 20 21 20 16 12 8 6 7 9 10 10 7 4 4 7 12 16 16 12 9 8 8 9 8 6 5 7 9 9 7 6 7 9 11 10 9 7 6 5 4 5 6 5 4 2 1 2 4 6 7 7 7 6 5 4 5 8 12 12 12 10 10 10 11 11 10 10 11 12 12 12 12 14 19 20 19 17 15 12 10 10 10 11 10 10 9 9 9 8 8 8 8 9 8 8 8 8 8 8 8 8 7 6 6 nan
nan 8 5 5 8 12 15 15 13 10 5 1 0 4 8 11 12 11 11 10 10 9 8 6 6 6 6 7 7 7 7 6 6 7 8 10 12 14 14 13 11 11 12 14 17 18 16 13 12 11 10 9 7 5 4 4 5 5 7 8 10 10 10 9 10 10 9 10 10 12 13 13 13 14 14 13 12 12 12 12 14 16 16 16 18 20 23 24 22 18 12 8 6 6 7 8 7 5 3 2 5 9 13 15 13 12 10 9 8 7 5 7 9 9 8 7 7 8 10 11 12 11 11 10 9 9 9 9 9 7 5 3 2 2 3 3 3 3 3 2 2 3 6 9 10 10 9 8 8 8 7 8 9 11 11 12 11 11 11 14 18 19 19 17 14 12 11 11 10 10 10 10 11 10 10 9 8 9 9 9 9 9 9 9 9 9 9 8 7 7 nan
nan 6 4 4 7 12 15 16 14 9 4 1 2 6 10 11 10 9 9 9 7 7 7 7 6 5 5 6 7 7 7 6 6 7 8 9 11 13 15 16 15 14 13 14 16 18 19 17 13 11 8 7 6 5 5 4 5 5 5 6 7 9 10 10 9 9 9 9 10 11 11 11 11 11 11 10 9 9 9 10 11 12 14 16 20 23 25 26 24 20 15 10 8 7 8 8 8 7 4 2 3 7 12 14 13 11 9 7 7 6 6 8 9 8 6 6 7 9 11 13 14 14 14 14 13 13 12 12 11 10 9 8 6 5 5 5 5 4 4 4 5 6 6 7 9 10 10 10 9 8 7 7 8 9 10 10 11 11 10 11 15 18 19 18 16 14 12 11 10 10 10 11 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 nan
nan 4 2 2 6 13 17 18 15 10 4 2 4 8 9 9 8 8 9 9 8 8 8 8 7 6 6 6 7 7 7 6 7 8 8 9 10 11 14 16 17 15 13 13 13 14 16 14 11 8 6 6 6 7 7 7 6 6 6 6 7 7 8 9 9 9 9 9 10 10 10 10 9 8 8 8 7 7 7 8 9 10 12 16 20 23 25 26 26 22 16 11 9 9 9 10 10 9 8 6 5 8 11 13 13 11 9 8 7 7 8 9 8 6 5 6 8 11 14 16 17 17 16 16 15 14 14 12 11 11 11 10 9 8 8 8 8 7 6 7 10 11 11 10 9 9 11 11 10 9 9 8 8 8 8 9 10 9 9 10 14 18 20 19 17 15 13 12 11 10 10 11 11 10 10 9 8 8 8 9 9 9 10 10 10 10 9 8 9 10 nan
nan 2 -0 1 6 13 18 19 16 11 6 3 4 6 7 7 7 8 10 11 11 11 10 8 6 5 3 3 4 6 6 6 6 6 7 8 8 9 12 13 14 14 13 13 13 13 13 11 8 7 6 6 7 8 9 8 7 7 7 8 8 8 9 9 9 8 8 8 9 9 10 10 8 7 6 5 5 5 6 7 8 9 11 15 19 22 24 25 25 23 17 12 10 10 11 11 11 11 11 10 9 9 10 11 12 11 11 10 9 10 10 10 9 8 8 8 10 13 15 17 17 16 16 15 14 13 12 11 12 12 12 11 10 9 9 9 8 7 7 9 13 15 16 14 11 9 9 9 9 9 9 9 8 8 8 8 7 6 8 11 15 19 21 21 19 17 15 13 12 12 11 11 11 10 9 9 8 8 8 8 8 9 9 10 11 10 9 9 9 10 nan
nan 1 -1 2 7 12 17 19 17 13 8 5 4 5 5 6 8 10 12 13 13 12 10 7 4 1 -1 -0 3 6 7 7 5 5 6 6 7 8 10 11 11 11 11 13 14 15 14 12 10 10 9 9 9 9 8 7 7 7 8 9 9 10 10 10 10 9 9 8 7 8 9 10 9 7 5 4 4 4 4 5 6 8 10 14 18 20 22 22 22 21 18 14 12 11 10 9 9 10 12 14 13 11 11 11 10 10 9 9 10 12 13 13 12 12 12 12 12 13 14 14 14 14 14 13 12 11 9 9 11 12 12 11 9 8 8 7 6 7 9 12 14 16 17 17 14 10 8 7 7 6 7 7 7 7 8 8 5 5 7 10 14 18 21 22 20 18 16 15 14 13 12 12 12 11 10 9 8 8 8 8 8 8 9 10 10 10 9 8 9 10 nan
nan 2 2 4 8 12 16 20 20 17 12 8 6 5 6 7 10 12 13 14 13 11 10 8 5 3 2 1 4 8 9 8 6 5 6 7 7 8 9 10 9 8 8 10 13 15 13 13 13 14 14 13 12 10 7 5 6 8 9 10 11 11 11 11 11 12 11 10 8 7 7 9 9 8 6 5 4 3 3 3 5 7 10 13 16 19 20 20 20 19 18 16 13 11 9 7 6 6 10 13 14 14 13 12 9 6 5 6 9 11 11 11 12 12 13 13 12 10 9 8 9 9 10 11 11 9 8 7 9 10 11 11 10 10 9 8 8 10 13 14 14 14 16 16 15 12 8 6 5 5 5 5 5 6 8 8 6 5 5 8 12 16 19 21 20 19 17 15 14 13 13 12 12 11 10 10 9 8 8 7 7 8 8 9 10 9 9 8 9 9 nan
nan 4 5 7 9 12 16 20 23 21 16 13 11 10 9 9 9 11 12 13 13 11 11 11 10 8 6 5 6 8 8 7 6 5 5 6 7 8 9 10 9 7 6 7 11 12 11 11 13 15 15 14 12 11 9 7 7 9 11 13 13 13 12 12 13 13 13 12 11 10 8 8 9 9 8 6 4 2 2 2 5 8 10 13 15 16 18 19 20 19 18 16 14 12 10 8 7 5 5 8 10 12 14 12 8 4 2 2 3 5 6 7 8 9 10 10 8 6 4 2 3 4 7 9 10 9 7 7 8 9 10 11 11 11 11 10 11 13 14 14 13 13 13 14 14 11 8 7 6 6 6 5 4 6 8 9 7 5 5 7 10 14 18 19 19 17 16 15 13 12 12 11 11 11 11 10 10 9 8 7 7 7 8 9 9 9 9 9 9 8 nan
nan 6 7 7 8 11 15 19 23 25 23 21 19 16 12 9 7 8 9 11 13 14 14 14 13 10 7 6 5 5 5 4 4 3 2 1 3 5 6 7 7 7 7 8 9 10 9 10 11 12 12 11 10 11 12 12 11 12 14 16 17 16 14 12 12 12 12 13 13 12 11 9 9 9 8 6 3 1 1 3 5 9 11 12 13 14 15 18 19 19 17 15 13 12 12 11 10 8 4 4 6 9 11 10 7 5 3 1 0 1 2 3 3 4 4 5 6 5 3 1 0 2 4 7 9 8 7 7 8 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 10 9 8 5 4 6 9 10 8 5 5 6 9 12 15 16 16 15 14 13 11 10 9 9 10 11 11 11 10 10 8 7 7 7 8 9 10 10 10 10 9 8 nan
nan 8 7 7 8 10 13 17 22 26 27 26 22 17 12 8 6 7 8 10 13 16 16 15 13 10 7 6 5 5 3 2 2 2 1 -0 -1 1 3 4 5 5 6 7 9 9 9 9 10 11 10 9 9 11 12 13 13 14 17 20 22 20 15 11 9 8 9 9 11 12 12 11 10 9 8 6 4 2 2 4 7 10 11 11 11 12 13 15 16 16 14 12 11 10 11 12 12 10 8 9 10 10 10 9 7 7 6 5 3 3 2 1 1 1 2 4 6 7 7 6 4 4 5 7 8 8 6 7 9 11 12 11 10 9 9 8 7 7 7 7 7 7 8 7 7 8 10 12 12 10 8 5 4 7 9 8 6 3 3 4 7 9 11 12 13 12 12 11 9 8 7 8 9 10 11 11 11 10 9 8 8 8 9 9 10 11 11 10 9 8 nan
nan 7 6 6 8 10 13 16 19 22 22 21 18 14 12 10 9 9 9 10 12 14 16 15 12 10 8 7 8 6 5 3 3 3 4 3 2 2 3 5 5 5 6 7 8 9 10 9 8 9 10 11 12 12 12 12 12 14 18 22 24 21 16 11 8 6 5 4 6 10 13 14 12 9 7 5 4 3 4 6 8 10 10 10 10 11 12 12 12 12 10 9 9 8 9 10 10 11 12 14 15 14 12 10 9 9 9 9 9 8 6 3 3 3 5 8 10 11 12 13 12 11 10 9 8 7 7 8 10 12 12 11 9 8 7 6 5 4 4 4 5 5 5 6 6 8 10 11 11 9 6 4 5 7 9 7 4 2 1 3 5 6 7 8 9 9 9 9 8 6 6 7 8 9 10 11 11 11 11 10 9 9 10 10 11 11 10 9 8 8 nan
nan 5 3 4 8 11 13 15 16 16 16 14 13 12 12 11 11 11 11 11 11 11 12 12 11 9 8 8 8 8 6 5 4 4 6 6 6 6 7 8 8 8 7 7 8 9 10 9 8 7 9 12 15 16 14 11 11 12 17 21 23 21 17 14 11 8 5 3 3 7 13 16 14 10 6 5 5 5 5 6 7 9 10 10 10 11 12 12 11 9 8 7 7 8 9 10 12 13 13 13 14 14 14 13 12 12 12 12 12 11 10 7 7 8 10 12 12 12 14 16 18 18 16 12 9 7 7 8 10 11 11 10 9 8 7 6 5 6 6 6 6 6 5 6 7 9 10 11 10 7 5 5 6 8 9 8 5 3 3 4 5 5 5 5 6 6 7 7 7 6 5 6 7 8 9 10 10 10 11 11 11 11 11 11 11 10 8 8 8 8 nan
nan 5 2 4 8 11 14 15 15 14 12 11 11 12 12 12 12 12 12 12 10 9 9 9 8 7 6 6 6 6 6 6 5 5 7 8 8 8 9 10 11 10 8 6 7 10 11 10 9 8 8 12 16 18 15 11 10 10 14 18 20 19 18 17 15 13 9 6 5 7 11 14 14 12 10 8 7 7 6 6 6 7 8 10 10 10 11 11 10 8 7 7 8 9 11 13 15 15 13 11 11 13 14 14 14 14 14 13 12 11 11 10 10 11 12 12 11 10 12 15 18 20 18 13 9 7 7 8 9 9 9 8 8 8 9 9 9 9 10 9 8 6 6 7 9 10 11 11 9 7 7 7 8 10 11 10 8 6 5 6 6 6 5 5 5 6 6 7 6 5 5 5 6 7 8 8 9 9 9 10 10 11 11 10 9 8 8 7 8 9 nan
nan 7 4 3 6 9 12 14 14 13 11 9 10 11 13 13 13 13 13 12 11 10 10 10 9 6 5 5 6 6 6 6 6 6 7 8 8 8 8 9 10 9 8 6 7 10 12 11 10 9 9 10 13 15 15 11 8 9 11 15 16 16 16 17 17 16 13 11 10 9 9 10 11 12 13 12 11 9 7 6 5 6 8 9 10 10 10 10 9 7 6 7 9 11 13 15 17 16 13 10 8 9 10 12 13 14 14 13 12 11 10 11 11 11 11 9 7 7 9 12 15 16 14 11 9 8 7 7 8 8 8 8 8 9 10 10 11 10 10 8 6 6 7 9 11 11 11 9 7 7 9 10 12 12 13 12 10 8 6 6 6 6 6 6 6 7 7 7 6 5 5 5 6 6 7 7 8 8 9 9 9 10 10 9 9 8 8 8 9 9 nan
nan 8 6 3 3 5 8 12 13 12 10 8 8 10 12 13 14 14 13 12 11 11 12 12 10 7 5 5 6 7 7 8 8 7 8 9 8 8 8 8 9 8 7 7 9 12 13 13 11 10 8 6 8 10 11 10 9 9 10 12 13 13 14 15 16 16 15 13 12 11 10 8 9 10 12 14 14 12 10 8 7 8 8 9 10 9 9 8 7 6 6 8 11 13 14 15 17 16 13 9 6 5 6 8 10 11 12 13 12 11 10 10 10 10 9 7 5 6 8 11 12 11 10 10 10 9 9 8 8 8 9 9 9 9 9 10 10 9 8 6 5 6 9 11 12 11 9 6 5 6 9 11 13 14 14 13 11 8 7 6 6 6 6 7 8 8 8 7 7 6 6 6 7 7 7 7 7 8 8 9 9 9 9 9 9 9 10 11 11 11 nan
nan 7 7 5 2 1 3 6 9 10 9 8 7 8 10 11 13 13 13 12 12 12 12 12 11 8 5 5 7 8 9 9 9 9 9 9 9 9 9 8 8 8 8 9 11 13 15 15 13 10 6 3 3 6 8 9 9 9 10 11 12 12 13 13 14 14 14 13 12 11 10 8 8 9 11 13 14 14 13 11 10 10 10 10 9 8 8 7 6 5 6 8 11 13 14 16 18 17 13 9 6 5 6 7 8 9 10 11 11 10 10 10 10 10 8 7 7 8 11 13 12 10 8 9 11 11 11 10 9 9 9 9 9 9 9 9 9 8 7 5 5 8 10 12 12 9 6 4 4 7 10 12 14 14 14 13 10 9 8 7 6 6 7 7 8 9 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 10 10 11 12 13 13 12 nan
nan 6 6 6 4 1 1 2 5 7 8 8 7 7 7 8 10 12 12 12 11 12 12 12 11 9 7 7 8 9 10 10 10 9 8 8 8 9 9 9 9 9 10 11 12 13 15 16 14 10 6 2 0 3 6 8 10 11 12 12 13 14 14 12 12 11 12 12 10 8 7 6 6 7 9 11 13 15 14 13 12 11 11 10 8 7 6 6 6 6 7 8 10 12 14 17 19 19 15 11 9 8 9 9 9 8 9 9 9 9 9 10 10 9 8 9 10 12 14 16 15 12 11 11 12 13 13 12 11 10 10 10 9 9 8 8 8 7 6 5 6 9 11 12 10 7 4 3 5 9 12 15 15 15 13 11 10 9 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 11 12 13 14 13 13 12 nan
nan 5 5 7 8 6 3 2 3 6 8 7 6 5 5 6 7 10 11 12 12 12 12 11 10 8 8 9 10 10 10 10 10 9 7 6 6 7 8 9 10 12 13 13 12 12 13 14 14 11 6 2 0 1 5 7 10 12 13 14 15 15 14 12 10 9 9 10 8 6 4 3 3 4 6 9 11 14 15 14 13 13 13 11 9 6 5 5 5 6 7 9 10 11 14 17 19 19 18 14 12 11 12 12 10 8 8 7 7 7 8 9 9 8 8 10 11 13 15 16 16 16 16 15 16 15 14 13 12 11 11 10 10 9 8 8 7 6 6 6 7 10 11 11 10 7 5 4 5 7 12 15 17 15 13 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 10 10 9 9 9 9 10 11 12 14 14 14 12 11 10 nan
nan 6 7 10 13 12 8 6 5 7 8 6 4 3 3 4 7 9 11 11 11 12 12 10 8 7 8 9 10 10 9 9 9 8 7 6 5 6 7 9 11 13 14 14 12 10 10 11 11 10 6 3 1 1 4 6 9 11 13 14 15 15 13 11 9 8 8 8 7 5 2 1 2 3 4 6 8 11 13 14 14 15 15 15 13 9 6 5 5 6 7 8 9 11 13 16 18 19 18 16 14 13 13 14 12 9 7 6 5 6 7 8 8 9 10 11 12 13 13 14 16 18 19 19 18 17 16 14 13 12 12 12 12 11 10 8 7 6 6 7 9 11 12 12 10 8 7 5 5 7 10 14 16 15 12 9 7 8 9 9 10 9 9 9 9 9 10 10 10 9 9 9 9 10 11 11 11 10 9 9 10 11 12 13 14 14 14 12 10 9 nan
nan 9 10 13 16 17 14 11 9 9 9 7 6 6 6 7 8 9 9 9 9 10 11 10 8 6 6 7 8 8 7 7 8 8 8 8 8 7 7 8 9 11 13 13 12 10 9 8 8 7 5 2 1 2 4 6 8 10 12 13 13 12 11 9 8 7 7 8 7 4 2 1 2 3 4 5 6 8 11 13 14 14 16 17 18 15 10 7 6 6 7 8 9 10 12 14 15 17 18 17 15 13 13 13 12 9 7 6 6 6 7 7 8 9 11 13 13 12 12 12 14 16 17 17 17 16 15 15 14 14 14 14 13 13 12 10 9 8 8 9 11 12 13 12 10 9 8 8 8 9 11 13 15 13 10 8 6 7 9 10 10 10 9 9 10 10 11 11 11 11 10 10 9 10 11 11 11 10 9 10 10 11 11 12 13 14 14 12 11 10 nan
nan 11 11 13 15 17 17 14 12 10 9 9 9 10 11 11 10 9 8 7 7 8 9 9 8 6 5 5 6 6 5 5 6 7 9 10 11 10 9 8 8 9 10 11 11 10 10 9 7 5 3 1 2 4 5 6 8 9 11 11 11 10 9 8 7 6 7 7 6 4 3 2 3 4 6 6 6 7 9 10 11 11 12 14 17 17 14 11 8 7 7 7 7 9 10 11 13 15 15 15 13 12 11 11 10 9 7 6 7 7 7 7 7 9 11 13 13 12 11 11 12 13 13 13 12 11 11 13 15 16 16 16 15 14 13 12 11 11 11 11 12 13 13 12 11 10 10 10 11 12 13 14 13 11 8 7 6 7 9 11 11 10 10 10 11 12 13 13 12 11 10 8 8 9 10 11 11 10 10 10 11 11 11 12 12 12 13 13 13 12 nan
nan 8 8 9 11 14 14 13 10 8 7 9 11 13 13 12 10 8 6 6 6 6 7 9 9 7 4 4 5 5 5 4 4 5 8 10 12 12 10 9 7 6 6 8 9 10 10 9 8 5 3 2 4 6 7 7 8 9 9 10 10 9 8 7 6 5 5 5 5 4 3 3 3 4 5 6 7 7 8 8 8 7 7 7 9 12 14 13 11 9 7 7 7 7 8 9 10 12 13 13 12 10 9 8 8 8 7 6 6 5 5 5 6 8 10 11 12 11 10 10 10 10 10 9 8 7 8 10 13 15 16 16 15 14 13 12 11 11 11 11 11 11 12 11 10 10 10 11 12 13 14 14 12 9 7 6 7 9 11 12 12 12 12 13 14 14 14 14 12 10 9 7 7 8 9 10 11 11 11 11 11 12 12 11 11 11 12 12 13 13 nan
nan 5 4 5 7 9 10 9 7 6 6 8 10 12 12 12 10 8 7 6 6 5 6 8 8 7 5 4 6 7 6 5 4 4 6 8 10 11 11 10 7 5 4 5 7 8 8 8 7 5 4 4 6 8 10 10 9 9 9 9 8 8 7 5 4 3 3 3 4 3 3 3 2 2 3 5 6 7 6 5 4 3 3 2 3 5 9 11 12 11 10 9 8 7 7 7 7 9 10 11 11 10 8 7 7 7 8 7 5 4 4 4 5 6 8 9 10 10 9 10 10 10 9 8 7 6 6 8 10 13 14 14 13 11 10 9 8 8 8 8 9 9 10 9 9 8 9 10 11 12 13 12 10 9 7 7 8 10 12 13 14 15 15 16 15 14 13 12 9 8 7 7 7 8 9 10 11 11 12 12 12 12 12 11 11 10 11 11 12 13 nan
nan 6 4 4 6 7 8 7 6 5 7 8 10 11 11 11 10 9 8 7 6 5 6 6 7 6 5 5 6 7 8 7 6 5 6 7 9 11 13 12 8 6 4 4 4 4 5 5 5 6 6 6 8 10 12 13 12 10 8 8 7 6 4 3 2 2 2 2 3 3 3 3 2 2 2 4 5 5 3 2 2 2 2 1 0 2 4 8 10 12 12 12 11 9 7 6 6 6 8 9 10 10 8 7 7 7 8 8 6 5 5 5 5 6 7 8 8 9 9 10 10 11 10 9 7 7 7 8 9 11 12 13 11 10 8 7 6 6 6 7 8 8 8 8 8 8 8 9 10 11 11 10 9 8 8 10 11 12 12 13 15 16 17 16 14 13 11 9 7 6 7 7 8 9 10 11 11 12 12 12 13 13 12 12 11 10 10 10 11 11 nan
nan 10 9 8 8 8 7 6 6 5 7 9 9 10 10 11 11 11 10 9 7 6 5 4 4 5 5 5 6 6 7 8 8 8 7 7 9 13 15 15 12 8 6 5 4 3 3 3 5 7 9 9 10 12 14 15 13 11 8 7 6 4 3 2 1 1 1 2 3 4 4 4 4 3 4 4 4 3 2 1 1 2 2 2 1 1 2 4 7 10 12 13 13 11 9 8 6 5 6 7 9 9 9 8 7 7 8 8 7 6 6 6 6 7 8 9 9 9 10 10 11 11 10 10 9 9 9 9 11 12 13 12 11 10 8 8 7 7 7 8 9 9 9 8 9 9 10 10 10 9 8 7 7 7 9 11 13 13 13 14 15 15 15 14 12 10 9 8 7 7 7 8 9 10 11 11 11 11 12 12 12 12 12 11 11 10 10 10 10 11 nan
nan 13 12 11 11 10 8 6 5 6 8 10 9 9 10 12 13 13 11 9 7 5 4 3 3 4 4 5 5 6 6 7 9 10 9 8 9 13 15 16 15 13 10 8 6 5 5 5 7 9 11 13 13 14 15 14 13 11 8 6 5 4 3 1 0 1 2 3 4 5 5 6 7 7 7 7 6 4 4 3 3 4 4 4 4 3 3 3 4 7 9 12 13 13 12 10 8 6 5 7 9 9 9 8 7 7 7 7 7 7 7 7 7 8 9 11 11 11 11 12 11 10 10 10 12 13 13 14 14 14 14 13 11 10 9 9 9 9 9 9 9 9 9 9 10 11 11 10 8 6 5 5 6 7 7 8 10 12 13 14 14 13 11 10 9 9 8 8 8 8 8 9 9 10 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 nan
nan 14 13 13 14 13 10 7 5 6 9 10 10 10 10 12 14 14 12 10 7 5 4 4 4 4 5 6 6 7 7 7 10 12 11 9 9 10 13 14 15 16 14 11 9 7 8 9 11 12 13 14 14 14 14 13 11 9 7 5 4 3 3 2 1 2 3 4 5 7 8 9 10 10 10 10 9 8 7 7 7 7 7 7 7 6 6 5 4 5 8 12 13 13 12 11 10 9 8 9 9 9 8 8 7 6 6 5 5 6 7 8 8 9 11 12 12 12 11 11 11 9 8 9 13 16 17 18 18 17 15 13 11 9 9 9 9 9 8 8 8 8 8 9 9 10 10 9 6 3 3 4 6 7 7 8 10 12 14 14 13 11 9 8 8 8 8 8 8 8 8 9 10 10 11 12 12 12 11 11 10 11 11 12 12 12 12 12 12 11 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
140 132 122 111 102 93 84 76 73 71 68 69 71 72 74 76 77 81 86 90 92 89 87 93 91 87 90 94 91 85 87 87 80 72 65 62 62 62 62 61 62 64 65 64 64 66 68 65 61 62 79 101 109 101 86 71 67 85 106 102 83 64 54 51 50 56 52 41 28 17 13 12 10 9 6 2 1 2 9 19 26 30 39 54 73 76 65 41 21 16 28 51 73 82 88 109 128 127 106 77 52 35 25 27 27 20 12 5 8 19 36 59 80 85 84 85 89 99 111 117 112 93 54 16 6 6 6 3 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 1 8 119 467 567 532 483 417 330 302 238 171 115 71 51 67 149 293 440 548 619
157 141 125 114 108 100 90 80 70 67 71 74 75 74 77 82 82 86 92 99 106 110 108 108 94 89 102 108 102 95 93 91 82 70 63 62 63 64 66 66 66 69 69 71 70 69 68 64 59 56 65 89 106 109 100 85 78 95 120 121 96 73 63 60 60 58 46 28 21 18 16 15 12 8 5 2 2 7 20 35 48 56 61 69 83 88 78 50 31 32 51 71 84 88 90 100 120 125 110 86 59 37 25 23 21 15 14 15 18 28 49 73 93 98 101 109 109 107 112 123 128 112 67 21 11 12 12 7 2 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 6 49 318 616 619 498 453 466 459 443 369 295 234 187 161 184 264 374 478 557 608
171 148 129 120 114 106 95 87 74 67 74 75 75 77 79 84 88 92 96 96 103 112 114 112 101 100 111 113 113 108 97 85 75 68 63 63 65 67 68 68 68 69 70 81 85 82 75 69 63 58 57 73 99 115 114 99 91 107 132 132 121 100 77 66 59 47 32 22 16 18 17 15 11 6 2 1 4 14 34 49 63 72 78 85 93 94 82 57 41 47 68 83 89 90 89 89 103 123 116 90 61 40 27 19 16 10 17 23 33 44 62 84 99 104 107 120 122 111 115 135 144 122 73 30 18 17 15 9 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 11 97 569 544 611 524 518 566 572 509 407 368 340 307 303 323 382 457 523 578 629
176 158 139 131 122 109 99 90 79 69 70 73 77 85 90 92 91 94 102 111 111 110 110 110 111 114 116 129 141 129 108 89 77 71 67 65 66 67 67 67 67 67 69 85 101 102 90 79 68 59 54 62 89 117 123 110 102 117 137 137 127 113 98 83 65 42 24 17 18 23 19 12 8 4 1 1 6 20 44 66 88 106 109 108 105 100 87 66 53 63 84 93 92 89 86 85 99 133 138 110 71 47 27 12 7 10 21 33 51 61 76 94 106 108 108 119 126 115 122 142 146 112 63 35 27 20 13 9 6 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 8 116 569 448 517 464 561 656 642 551 457 437 445 418 417 432 480 535 577 608 649
169 163 149 135 120 107 98 90 83 81 81 82 83 93 97 94 93 95 101 111 123 121 114 112 112 113 121 142 163 145 118 96 83 75 70 68 69 69 68 66 67 65 68 84 109 119 110 93 78 65 56 59 83 115 125 114 107 118 135 137 126 120 114 105 73 41 21 18 24 26 18 7 4 2 1 0 5 25 62 104 139 165 153 134 117 105 90 73 64 74 92 92 84 80 80 86 103 130 139 128 94 63 31 12 7 13 25 44 62 71 88 115 132 130 119 115 117 111 120 133 129 87 48 40 38 25 8 3 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 79 326 379 476 506 647 735 687 576 493 454 449 505 506 523 569 620 653 667 686
149 155 148 133 117 103 94 87 82 80 80 82 83 86 91 92 97 101 105 108 114 119 121 115 107 100 103 120 140 133 110 92 82 76 73 72 73 72 71 68 71 69 65 76 102 127 136 120 99 79 61 59 80 108 121 118 112 120 135 135 128 120 108 91 54 27 14 15 17 16 10 4 2 0 0 1 11 48 106 158 184 194 181 154 125 105 86 73 73 84 96 90 77 74 77 88 105 119 123 123 110 83 52 30 22 24 36 52 66 74 99 148 174 162 134 116 108 108 114 127 119 71 45 47 47 29 8 1 2 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 11 99 296 399 508 584 701 772 718 606 530 507 509 552 564 591 635 694 732 731 717
131 143 144 134 118 103 90 82 79 77 76 78 79 81 85 91 98 105 108 110 112 117 121 119 113 101 100 109 115 107 94 84 80 76 75 74 74 73 71 71 77 74 64 65 85 120 149 152 132 101 70 57 71 99 116 118 117 126 145 145 130 111 90 61 25 6 3 5 6 5 3 1 0 0 0 6 33 92 155 174 153 138 149 139 116 97 80 74 82 94 97 87 77 78 81 91 104 113 115 116 115 96 70 54 47 43 48 67 95 115 136 179 198 174 135 104 91 101 119 140 129 69 49 53 48 28 12 3 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 5 96 310 498 618 691 753 783 736 647 579 563 585 588 617 638 672 733 756 733 697
116 131 138 136 125 111 96 85 79 78 77 78 80 85 91 99 103 106 108 111 117 122 126 126 120 112 118 118 107 96 88 83 80 77 77 77 75 72 70 71 76 78 69 63 70 94 129 156 155 122 83 64 73 96 114 120 124 136 158 153 126 100 74 44 17 4 2 1 1 1 0 0 0 0 2 16 66 132 164 138 105 96 101 107 99 87 82 88 100 104 95 83 86 95 95 99 111 122 131 134 126 107 79 70 65 67 79 99 117 131 154 201 227 189 125 86 70 76 106 131 133 71 50 48 39 23 12 6 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 1 55 199 390 575 729 803 782 726 666 627 617 626 634 673 686 713 756 753 728 708
103 118 129 136 134 124 109 96 87 83 80 82 85 90 95 99 102 106 110 114 122 132 135 128 115 112 121 114 103 95 91 87 83 80 80 80 76 71 69 71 77 81 79 71 65 75 94 129 151 134 97 67 66 90 112 121 131 148 161 149 101 85 58 28 8 2 1 1 0 0 0 0 0 0 7 39 108 143 145 112 90 80 78 85 90 90 93 107 112 107 98 102 117 127 127 127 143 168 185 176 150 125 94 77 73 83 101 117 121 125 150 194 228 205 127 86 69 68 78 91 107 76 47 34 26 19 13 9 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 32 131 291 469 630 779 756 698 666 667 682 696 706 733 743 762 764 744 725 709
90 106 119 130 135 132 123 113 103 95 90 89 93 95 97 100 106 113 122 130 138 144 137 116 99 97 105 103 99 95 93 91 87 83 82 84 82 75 70 68 73 81 84 77 66 62 70 93 122 127 101 72 65 88 112 123 138 160 166 142 102 85 41 14 4 2 2 2 1 0 0 0 0 0 13 65 137 144 138 106 88 79 77 82 92 101 109 121 122 129 173 229 245 221 207 205 214 255 267 227 176 142 114 89 79 88 103 116 119 116 125 149 173 172 129 103 81 78 74 73 89 81 46 26 22 21 15 8 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 10 71 217 421 607 777 742 678 662 700 738 751 764 792 808 812 782 740 709 686
79 91 105 117 126 130 130 126 120 111 102 98 98 100 105 114 121 128 139 151 162 159 135 103 86 87 101 110 103 97 93 94 92 89 87 88 88 82 74 69 69 76 79 75 68 62 57 64 89 102 92 73 71 93 119 130 151 179 176 145 106 67 30 10 4 7 7 4 1 0 0 0 0 2 22 89 153 162 152 118 93 87 80 79 91 107 119 131 144 190 301 401 396 340 308 296 281 320 314 255 196 159 133 108 88 85 97 107 115 126 135 135 127 117 115 100 75 83 84 73 71 66 41 25 29 31 24 12 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 14 79 257 548 800 774 686 663 712 768 793 799 807 811 809 792 756 716 679
75 79 87 99 111 119 124 127 129 125 117 109 106 109 115 125 132 142 150 155 157 146 121 93 83 88 114 124 115 106 95 95 95 96 97 98 98 92 82 76 72 71 72 72 71 68 65 57 66 79 79 74 83 109 137 148 171 204 190 150 97 50 27 12 5 14 13 6 1 0 0 0 0 8 45 117 177 189 169 139 104 90 86 90 105 124 142 164 194 257 378 460 451 397 354 326 304 327 314 266 219 183 152 122 97 85 91 101 112 122 123 110 89 75 81 83 65 85 87 67 50 44 33 27 35 43 40 26 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 82 312 676 802 732 680 702 757 789 784 770 769 781 801 799 777 737
77 74 77 83 94 104 112 118 126 133 132 128 126 126 130 139 151 158 160 155 143 124 103 86 79 81 107 118 117 110 99 94 93 103 116 126 127 118 103 89 79 74 77 82 90 91 82 66 57 65 71 73 93 127 154 167 191 229 202 154 78 33 23 15 10 13 10 4 1 0 0 0 1 11 49 124 205 213 188 164 130 102 92 119 148 162 190 232 271 308 368 398 439 409 358 323 305 301 275 250 217 182 149 122 102 89 87 91 90 87 87 75 60 51 51 58 52 76 75 58 42 34 28 27 31 39 43 34 17 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 11 129 435 714 750 701 688 710 733 738 737 757 809 861 869 846 773
82 75 72 74 81 91 101 110 119 130 140 146 149 148 152 162 168 170 168 153 130 106 89 80 76 78 96 104 107 103 99 95 92 106 141 181 196 184 153 118 95 82 90 102 135 136 111 82 62 60 62 66 93 136 166 185 211 239 211 156 67 30 22 18 14 13 10 4 1 0 0 0 4 22 68 125 221 231 208 189 171 149 144 186 207 213 258 312 324 292 268 270 371 392 360 325 298 270 247 226 200 167 138 115 97 83 74 66 55 50 53 50 46 42 40 39 37 50 50 43 36 29 24 22 23 27 33 32 18 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 45 222 526 684 685 673 668 678 703 737 782 843 877 860 848 776
92 80 72 70 75 83 93 104 114 123 135 150 158 163 165 164 163 162 155 136 112 91 78 72 72 77 88 95 94 88 87 86 87 103 146 214 275 291 257 187 125 91 87 99 152 160 132 97 71 60 58 62 91 143 180 203 230 240 189 92 50 32 26 20 15 11 8 4 1 0 0 0 6 31 80 126 230 248 218 196 203 220 239 270 269 295 352 366 310 225 171 174 244 311 344 330 290 250 220 202 183 154 127 105 84 67 52 40 32 32 36 38 39 34 30 29 26 31 31 27 26 23 19 17 18 18 17 16 9 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 7 104 348 565 636 650 646 653 686 729 771 803 796 786 793 745
107 91 79 71 72 79 90 101 109 115 125 136 144 152 148 141 138 137 130 114 95 83 73 68 68 73 80 80 73 69 73 78 85 96 127 190 277 348 347 268 164 98 73 74 109 139 131 102 74 59 56 65 95 152 196 219 246 230 153 60 19 23 26 20 12 6 5 3 1 0 0 0 4 28 73 132 224 247 194 138 149 211 273 301 316 369 414 359 257 174 129 119 162 261 350 349 305 268 235 201 172 141 112 89 67 47 33 26 25 29 34 32 32 25 20 19 18 18 15 14 18 20 19 17 15 13 10 8 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 58 225 440 577 614 628 645 677 720 767 793 751 749 732 688
115 101 90 79 73 77 86 97 104 110 117 123 127 132 133 124 116 115 110 98 84 73 67 64 65 70 74 71 64 62 69 80 95 107 121 150 205 271 308 269 178 108 71 59 72 101 110 95 73 57 56 74 114 169 212 234 257 209 114 37 12 15 21 16 9 5 3 1 0 0 0 0 0 9 74 156 204 201 115 56 58 129 197 232 279 364 410 320 222 167 151 149 181 270 359 372 337 312 276 223 168 127 99 77 55 33 20 21 30 38 36 31 26 16 12 12 13 11 7 9 15 22 26 23 16 9 5 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 35 155 356 540 576 611 649 680 719 765 789 764 738 687 627
109 100 96 87 79 77 83 92 98 104 110 114 117 119 115 106 96 100 95 84 73 65 61 61 65 68 69 72 73 73 76 86 115 156 162 145 138 154 178 187 152 110 77 61 67 86 94 86 68 55 57 82 130 188 236 264 270 194 87 25 8 7 11 9 6 3 2 1 0 0 0 0 0 10 93 135 131 108 48 19 27 66 120 184 268 360 396 315 225 189 192 195 203 247 315 363 364 356 321 260 191 138 104 76 53 32 19 18 24 31 31 27 22 12 7 7 9 7 4 5 12 25 34 28 17 7 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 23 120 319 536 557 589 647 688 719 743 760 766 746 682 609
95 92 91 86 81 78 79 85 91 96 103 106 109 107 100 90 84 89 83 75 71 67 64 64 68 70 67 67 74 79 81 93 142 245 236 170 115 94 98 110 113 101 80 68 72 84 89 79 64 51 56 89 146 210 262 289 277 179 75 22 7 5 6 6 4 2 0 0 0 0 0 0 0 5 55 35 33 35 19 9 13 37 101 197 304 392 412 343 255 208 190 197 191 209 266 330 349 343 307 262 216 172 129 90 58 37 24 18 18 18 19 18 16 8 4 4 5 4 2 2 8 19 33 28 13 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 15 101 316 563 577 574 630 679 700 702 709 728 731 687 625
86 83 82 82 80 75 74 77 82 86 92 99 104 102 93 83 82 84 75 70 70 67 64 64 66 71 68 58 61 74 80 97 164 276 285 212 141 97 80 78 81 81 77 78 83 85 80 70 59 50 53 86 147 226 288 302 246 121 69 19 6 5 5 4 2 1 0 0 0 0 0 0 0 0 0 1 3 7 7 5 4 15 68 165 281 383 419 373 291 235 186 201 172 184 241 304 329 311 300 290 258 213 163 114 73 50 32 19 10 8 10 13 12 6 3 2 3 2 1 0 2 7 16 16 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 93 323 583 633 591 611 650 662 657 661 684 705 695 674
84 78 77 78 76 72 68 70 75 81 88 96 103 102 96 90 87 81 72 66 63 62 60 58 58 63 66 60 56 71 86 107 156 221 253 242 197 138 95 76 72 69 69 79 82 80 73 64 54 49 57 93 169 258 321 310 204 80 63 14 5 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 3 8 9 6 3 6 29 92 197 318 403 397 324 243 171 187 148 165 215 276 317 321 331 354 315 248 189 131 86 64 48 32 10 8 10 13 12 6 3 2 2 1 0 0 0 1 3 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 0 0 0 1 101 323 555 644 603 579 597 610 621 644 681 717 738 756
85 79 77 75 73 69 66 65 70 77 86 94 101 103 97 85 85 82 73 65 59 55 54 52 52 56 61 64 67 78 101 129 142 157 187 212 208 166 118 94 80 69 64 69 68 66 64 59 52 49 64 113 200 302 339 273 155 62 38 11 3 3 3 4 3 1 0 0 0 0 0 0 0 0 0 1 10 17 17 11 6 5 10 33 99 217 349 398 350 249 156 128 123 146 170 224 287 327 346 372 376 307 236 158 98 65 48 31 9 12 14 15 12 6 3 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 1 7 20 27 3 0 0 9 116 300 478 568 558 530 533 556 598 650 705 758 811 859
89 89 83 77 72 67 64 63 66 73 80 87 94 96 89 79 85 80 72 63 55 51 49 48 49 55 71 89 91 88 111 160 149 138 139 148 151 137 112 94 82 71 66 62 56 55 54 53 50 49 74 136 229 316 316 189 108 47 14 2 2 2 4 14 11 4 0 0 1 4 5 1 0 0 1 4 13 25 26 18 12 11 14 22 53 135 286 374 363 283 182 108 101 114 132 187 262 316 345 377 421 387 317 220 127 67 38 24 19 18 14 11 8 5 4 4 3 2 0 0 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 5 31 72 85 35 8 4 30 125 264 397 482 504 492 489 524 586 652 718 778 824 858
89 93 88 80 73 65 64 65 69 73 77 80 85 87 84 83 87 80 65 56 49 46 46 45 46 52 72 100 101 94 119 170 154 125 103 93 91 89 83 73 68 67 62 52 45 44 46 46 47 53 94 171 253 294 247 104 61 19 3 1 1 2 10 27 19 5 0 3 10 17 14 2 1 2 4 5 11 20 25 22 17 16 19 27 53 125 271 362 367 315 233 147 96 94 109 177 257 312 341 361 376 372 359 293 173 87 40 25 31 35 21 9 3 4 6 8 7 5 0 0 0 0 0 0 1 2 1 0 1 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 5 37 96 137 120 62 42 65 134 232 335 415 459 471 479 519 582 644 704 755 794 839
83 91 95 90 76 67 68 71 73 74 74 76 80 81 80 80 81 76 65 53 44 41 40 42 44 52 71 90 91 89 119 150 136 102 77 67 67 69 66 61 59 60 54 40 35 36 39 41 47 61 122 205 260 250 168 56 23 6 5 4 1 1 6 19 16 4 2 12 28 31 17 6 4 7 10 12 13 15 15 17 15 12 13 21 42 104 235 377 390 346 280 185 111 94 102 159 243 307 344 363 383 392 348 282 182 121 63 37 40 45 31 11 4 5 9 11 11 9 3 1 0 0 0 2 3 3 2 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 10 70 150 187 161 135 137 169 227 300 371 427 464 492 535 589 637 681 718 760 825
77 91 104 99 80 71 72 73 73 72 72 74 76 76 70 71 76 75 68 55 43 39 38 40 44 51 62 77 82 83 114 129 112 85 69 65 71 72 66 60 57 53 44 27 26 28 31 37 53 90 162 237 250 193 102 30 10 5 10 6 2 0 2 5 6 3 7 22 42 37 18 10 7 13 21 29 27 19 11 10 10 12 21 28 32 67 186 372 435 389 333 264 188 133 119 154 233 306 349 373 379 363 318 266 195 179 110 62 46 41 26 10 4 6 11 14 14 11 9 1 2 3 4 6 7 6 3 3 5 6 4 2 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 37 118 198 233 239 243 252 276 319 371 428 480 521 565 607 642 676 706 747 807
74 92 109 100 81 72 71 73 74 73 71 70 71 71 69 70 72 72 65 55 45 42 44 47 50 53 60 71 79 96 121 116 94 74 68 70 73 71 61 57 54 45 29 17 18 21 27 38 74 139 215 264 215 104 41 12 4 2 5 6 2 0 0 0 2 6 15 27 34 24 10 5 5 15 29 52 55 37 17 8 10 19 39 57 53 58 135 289 408 420 380 350 300 236 194 208 284 369 400 414 375 333 318 302 239 217 160 106 65 39 20 10 7 8 12 16 16 13 8 2 1 2 6 8 10 9 7 7 9 11 12 12 12 11 8 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 15 15 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 19 77 156 230 283 327 363 391 413 439 481 532 575 610 638 663 691 718 745 772
76 93 111 95 76 67 65 65 67 69 68 66 66 64 63 63 69 66 59 55 56 60 65 62 60 60 63 66 77 103 119 97 79 69 66 66 64 60 56 53 49 37 22 14 16 21 28 49 109 188 248 250 169 46 13 3 0 1 2 2 1 0 0 0 5 14 28 38 29 15 4 0 1 7 22 53 74 54 25 10 12 26 51 81 84 66 84 173 303 394 419 434 403 337 298 317 370 402 381 364 310 329 362 336 257 202 164 120 72 37 21 18 21 25 22 17 11 8 7 5 3 6 8 13 15 16 15 11 8 11 17 23 24 31 24 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 15 18 12 5 1 0 0 0 0 0 0 0 0 0 0 0 0 5 30 77 141 217 304 405 491 532 553 575 606 639 663 680 697 720 743 757 763
78 90 100 88 68 59 57 57 57 59 61 61 62 60 59 59 61 59 57 61 64 72 73 67 63 68 70 81 84 94 102 84 75 70 64 61 57 55 53 47 43 35 22 17 20 26 38 80 155 219 242 205 114 15 2 0 0 0 0 0 1 2 1 2 12 27 36 32 14 7 5 6 5 3 10 29 55 53 30 12 12 29 53 79 104 93 82 111 214 361 478 520 482 446 443 457 455 408 336 319 355 361 334 287 229 176 127 87 49 22 15 25 39 46 33 13 4 3 7 11 14 19 20 19 21 23 20 13 6 6 8 22 31 38 26 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 9 9 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 3 15 42 94 184 319 464 565 617 639 654 672 691 705 722 746 773 793 796
76 81 81 73 61 51 50 50 50 50 51 53 54 52 52 56 59 61 68 78 72 64 61 58 54 54 52 65 69 82 91 85 77 69 65 62 56 51 48 44 37 30 24 26 33 48 82 145 208 231 211 151 71 8 1 0 0 1 0 2 5 6 4 3 22 43 41 21 4 4 14 40 33 14 5 10 26 45 35 15 13 33 66 92 102 102 101 103 182 342 499 560 529 517 532 528 495 432 372 362 355 377 302 238 202 169 122 82 64 51 38 34 36 34 19 4 1 3 12 18 23 27 26 23 24 24 19 9 5 7 8 19 29 26 14 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 17 71 192 360 494 578 614 629 643 664 686 710 745 788 833 861
73 72 69 63 56 47 46 46 46 45 45 46 47 47 49 55 59 66 74 71 66 54 45 40 38 39 44 57 68 73 84 84 74 65 62 61 54 47 42 39 36 33 37 47 68 101 150 200 224 210 161 99 40 7 1 0 1 6 2 4 6 5 2 3 35 69 60 24 1 6 31 114 95 40 9 2 11 29 38 25 20 43 82 106 104 95 112 107 166 312 458 538 552 524 500 485 475 471 476 475 423 382 287 229 207 186 157 139 143 136 89 38 13 7 4 2 9 15 25 30 34 35 31 25 24 23 20 18 21 25 18 14 14 13 7 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 25 118 285 433 521 558 571 585 607 636 666 704 751 798 833
66 66 64 60 53 48 46 43 43 45 45 44 44 44 47 54 61 68 69 64 54 42 32 26 26 31 39 47 54 60 80 80 71 63 59 57 52 44 41 40 44 54 70 77 116 152 182 187 170 136 87 42 16 4 1 1 5 17 7 5 4 2 1 4 25 54 45 16 3 15 65 160 140 54 14 2 3 17 35 41 35 62 112 125 107 112 150 155 170 283 385 443 466 455 418 408 433 491 515 507 452 357 269 245 248 240 227 221 218 189 110 27 3 0 2 12 31 42 50 47 42 38 37 37 31 24 23 37 55 55 36 14 8 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 17 94 267 440 525 547 543 545 564 596 627 661 699 737 769
55 56 56 55 51 50 48 44 45 48 45 43 43 43 46 52 58 60 58 51 43 35 24 19 22 26 28 30 37 49 73 75 69 63 58 55 51 45 44 49 58 80 99 99 129 135 130 111 83 52 25 7 6 2 2 3 15 31 18 12 22 16 6 1 2 4 2 2 9 25 79 135 105 37 9 1 1 9 28 46 47 50 102 137 120 122 172 200 187 255 327 373 386 377 355 348 392 472 436 406 419 395 295 268 282 289 292 282 240 160 76 9 4 5 12 32 56 66 66 54 48 48 47 43 36 26 31 54 82 73 41 15 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 8 80 263 483 604 609 571 550 563 594 625 651 679 707 731
47 48 49 52 49 50 47 45 46 47 44 42 42 41 43 46 48 46 44 41 34 26 19 16 17 19 18 20 26 39 61 74 68 61 58 57 55 51 50 58 69 86 99 95 88 71 55 40 31 22 15 14 13 7 4 6 29 39 25 35 54 31 8 0 0 1 1 4 13 21 51 65 42 15 3 0 0 4 19 40 48 40 109 168 141 144 185 209 204 230 268 320 366 374 357 349 349 416 389 367 383 381 328 294 302 282 248 221 183 117 40 3 18 24 37 57 74 77 71 60 58 63 66 59 47 35 32 37 68 53 27 11 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 61 234 493 704 728 655 596 590 620 654 680 704 730 753
43 45 46 47 45 46 44 44 45 46 46 44 42 40 38 37 36 35 33 31 26 21 16 13 13 14 16 16 19 32 58 78 67 56 57 60 60 57 59 69 79 85 88 69 45 34 24 18 28 36 32 22 13 6 2 7 41 42 30 36 25 9 2 0 1 4 9 13 16 19 21 16 7 2 1 1 0 3 16 36 45 54 111 160 186 193 203 201 198 235 282 309 339 372 384 368 343 383 396 396 398 388 360 333 299 225 147 111 97 78 50 32 53 64 71 75 82 85 83 78 77 81 79 64 46 32 22 12 35 28 13 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 31 148 382 682 826 759 670 630 644 683 723 753 786 815
38 42 44 42 40 38 39 41 42 44 43 41 40 39 36 31 27 25 24 23 21 19 16 13 12 11 10 9 13 27 62 80 65 51 53 61 63 65 70 80 83 75 65 36 19 16 15 25 29 36 34 20 7 2 1 6 37 48 34 18 6 0 0 8 19 30 44 53 47 27 14 6 3 4 6 8 6 6 18 33 36 48 98 169 229 256 229 208 218 264 324 355 363 397 409 385 360 386 435 492 467 426 397 355 279 183 126 117 111 98 80 74 83 91 85 74 80 96 108 112 116 121 114 89 62 36 14 7 12 10 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 0 0 0 0 0 0 0 0 0 0 0 0 0 5 50 197 481 767 826 745 674 658 687 735 786 828 861
33 40 42 40 37 35 34 36 36 39 40 39 37 34 31 29 26 22 22 21 18 15 14 13 12 9 6 5 8 22 66 77 62 49 50 57 57 56 58 57 48 34 26 10 3 2 7 15 15 15 15 8 2 0 1 4 19 31 18 5 1 1 6 27 61 80 87 82 58 28 16 10 9 13 21 27 27 21 21 27 21 35 112 229 278 305 263 250 262 302 364 425 437 413 430 401 375 394 455 532 528 481 434 379 306 232 198 210 203 170 121 87 85 92 78 61 71 95 121 140 148 143 133 88 64 39 13 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 53 194 506 717 740 703 669 668 703 753 799 838
29 35 38 37 37 35 34 35 35 37 38 38 36 33 32 32 29 28 28 26 21 17 15 13 10 7 6 4 5 14 53 72 61 48 45 47 41 32 25 16 8 5 3 1 1 2 1 2 2 2 2 0 0 0 2 5 9 11 4 1 0 4 15 35 62 74 63 52 38 22 12 9 10 16 30 43 45 33 20 16 8 16 90 220 319 318 277 258 254 247 264 330 392 332 374 307 282 309 368 464 529 503 427 373 346 313 273 267 274 244 172 117 99 95 82 60 67 86 107 127 137 121 97 51 38 26 12 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 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 45 205 462 631 685 670 648 653 682 719 751
24 28 30 31 33 33 34 33 33 33 35 34 33 31 31 34 34 35 32 27 22 19 16 13 9 7 5 5 7 18 44 64 55 50 59 63 50 33 24 9 1 0 0 0 0 0 0 0 0 0 1 1 0 1 8 26 43 42 17 4 1 5 14 24 28 20 16 21 15 7 3 3 4 11 30 45 47 33 15 7 3 7 49 159 272 316 336 329 300 241 182 170 194 197 330 263 190 200 265 350 417 422 401 385 369 336 288 260 259 270 216 158 121 106 94 77 75 81 79 81 80 66 30 8 6 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 38 192 414 563 621 620 601 595 610 636
21 23 25 27 29 30 31 30 30 31 31 30 30 29 27 29 33 36 28 25 22 19 15 12 8 6 4 3 6 21 42 51 49 70 69 64 60 56 54 37 9 2 2 3 5 5 8 10 9 7 5 4 3 7 32 74 101 88 41 11 4 3 5 9 10 6 4 2 0 0 0 3 12 29 49 58 52 33 14 5 5 15 41 123 212 308 402 433 348 227 148 113 104 130 241 249 169 161 192 233 268 288 303 330 336 304 257 220 210 260 231 189 156 132 111 87 72 70 59 50 35 17 2 0 0 0 1 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 3 28 161 340 481 540 535 513 513 537
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