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 11 12 10 6 4 4 6 9 11 14 15 16 15 13 11 10 9 8 6 4 5 7 9 10 10 9 6 3 1 0 2 5 7 8 7 6 7 8 8 9 9 10 11 12 13 13 13 13 12 10 9 10 11 11 12 12 13 13 10 8 6 5 5 5 5 4 4 5 5 3 3 3 4 6 8 10 11 13 14 14 13 12 13 14 17 17 14 11 7 4 2 2 4 7 9 9 7 8 9 11 13 14 14 14 14 14 13 13 14 15 16 15 15 14 15 14 14 14 14 16 18 20 20 17 10 3 1 3 6 8 9 9 7 6 7 10 13 13 11 9 8 8 9 10 9 7 5 3 2 4 7 9 9 8 7 9 12 13 11 9 6 6 7 8 9 8 6 4 4 4 5 5 7 9 11 13 15 16 16 14 12 11 10 11 12 12 11 10 9 nan
nan 10 10 8 4 2 3 6 9 12 14 16 16 14 12 11 10 9 7 6 5 7 9 11 11 11 9 7 5 3 3 4 7 9 10 9 7 7 7 8 9 10 11 12 14 15 15 14 12 11 9 9 9 9 10 11 13 14 13 11 9 8 7 7 7 6 4 4 4 5 5 3 3 3 4 6 8 10 11 13 14 13 11 10 12 16 18 16 12 9 6 5 4 4 6 9 11 11 11 11 11 12 12 13 13 14 13 11 11 13 16 17 16 14 11 10 9 7 7 9 13 16 18 17 12 8 6 8 10 10 8 6 3 1 -0 2 8 13 16 14 11 8 6 6 7 7 5 3 2 4 6 9 11 12 11 10 10 9 9 8 6 4 3 5 8 9 8 6 4 4 4 4 5 6 8 10 11 12 12 11 10 10 10 11 12 13 12 10 9 9 nan
nan 8 8 6 3 2 3 6 9 12 14 16 16 14 12 10 9 8 7 6 7 9 12 12 12 10 9 8 8 7 7 7 7 9 9 9 7 6 7 8 9 10 12 13 14 15 16 15 13 10 8 8 8 10 11 13 15 16 15 13 12 10 10 9 8 6 4 4 5 6 6 5 4 4 5 6 8 9 11 13 15 15 12 10 10 13 18 18 15 11 9 8 6 6 7 10 13 13 12 11 10 8 8 9 11 12 11 9 9 10 12 15 15 12 10 7 4 1 -1 1 4 10 14 14 11 9 12 17 19 16 11 6 2 0 -2 -1 2 7 10 10 8 5 4 4 6 7 5 4 4 5 7 8 10 12 12 12 11 9 8 7 6 4 4 7 8 9 8 7 6 5 5 5 5 6 8 9 9 9 8 8 7 8 10 12 13 11 9 8 8 9 nan
nan 7 6 5 3 2 4 8 11 13 15 16 15 13 11 10 9 7 6 7 9 11 13 13 12 10 8 8 9 8 8 7 6 7 7 7 6 6 7 9 10 11 11 12 12 13 14 14 13 10 8 7 7 9 11 12 15 17 18 17 16 15 13 11 9 6 4 4 6 7 8 6 5 5 6 8 9 11 14 17 19 18 15 10 7 10 15 18 16 13 10 9 7 7 8 10 12 12 12 11 9 7 6 6 8 9 9 8 7 7 9 12 13 12 9 6 3 0 -2 -3 -1 3 9 13 14 14 17 22 23 20 14 9 6 5 2 2 2 4 5 5 5 4 5 6 8 9 8 7 6 5 5 6 8 11 12 13 12 12 11 10 9 9 9 10 10 10 9 9 8 7 7 7 7 7 8 9 8 8 7 6 5 7 10 11 11 9 7 7 7 8 nan
nan 7 6 4 2 2 4 9 12 14 16 17 15 12 10 8 7 6 6 8 10 11 11 11 10 8 7 7 7 7 6 6 6 6 5 5 6 7 9 10 11 10 10 10 10 11 12 12 11 9 7 6 7 7 8 9 13 17 19 19 18 17 16 13 9 6 3 4 8 10 10 8 6 6 8 10 11 12 15 19 21 20 16 10 5 7 12 16 16 14 11 9 7 7 7 8 9 10 11 11 9 7 6 6 7 8 9 8 7 7 9 11 12 11 8 6 4 3 1 -0 -1 -0 4 11 17 17 16 16 16 16 15 13 11 10 9 9 8 7 7 7 8 8 8 9 9 10 8 7 6 6 5 6 9 12 13 14 14 14 14 15 15 15 14 12 11 10 10 10 10 10 9 9 9 9 9 9 8 7 6 6 6 7 9 10 9 8 6 6 6 7 nan
nan 8 5 2 0 2 5 10 13 15 17 17 14 10 7 6 6 6 7 8 10 11 10 8 7 7 6 6 6 6 6 6 6 6 6 6 7 9 11 11 11 11 11 10 10 11 11 11 8 6 5 6 7 7 8 8 10 14 16 16 16 16 15 13 10 6 4 6 10 13 13 12 9 8 9 10 10 10 12 16 19 20 17 12 6 5 9 13 15 15 12 9 7 6 6 7 9 10 10 10 9 8 6 6 8 9 9 9 8 9 10 11 12 10 7 5 5 5 5 4 2 0 1 6 11 12 10 7 5 7 10 13 13 14 15 15 14 13 13 13 14 13 11 10 9 8 7 7 6 6 6 8 11 13 14 14 15 15 17 19 20 18 14 12 11 10 10 10 11 11 11 11 10 10 10 9 9 8 7 7 7 8 9 10 10 9 7 6 5 5 nan
nan 7 4 1 0 3 7 12 15 17 18 17 13 9 6 4 5 7 9 10 10 11 10 8 7 7 7 7 7 6 7 7 7 7 7 7 9 12 13 13 12 11 11 11 11 11 11 9 6 4 4 5 7 9 10 11 11 11 12 13 14 14 14 13 10 8 7 9 12 15 15 14 11 9 8 9 9 9 11 15 18 19 17 13 8 6 8 10 13 14 13 10 7 6 7 9 10 11 10 9 9 8 6 5 6 8 9 9 10 11 13 13 12 10 8 7 7 8 9 9 7 4 2 2 4 5 4 2 0 0 4 7 9 12 16 17 16 15 14 15 15 15 13 11 9 8 8 7 7 6 6 8 10 11 12 13 15 17 20 22 21 17 13 11 10 10 10 10 11 11 12 11 11 10 9 9 9 8 8 8 8 9 10 10 11 10 8 6 4 4 nan
nan 7 4 1 1 4 9 13 16 18 18 16 12 8 5 5 7 9 10 10 9 9 9 8 8 8 9 8 7 7 8 8 8 8 8 9 11 12 13 13 13 11 11 10 11 11 10 8 5 3 3 5 7 9 11 12 11 11 11 11 12 12 11 10 9 9 10 11 13 14 14 13 11 9 9 9 9 10 13 16 19 20 17 13 9 7 7 8 10 12 12 10 7 7 8 10 11 11 10 9 8 8 8 6 6 7 8 9 11 13 14 13 12 11 11 10 11 12 13 13 12 10 7 5 3 4 4 3 2 1 1 1 3 6 11 14 14 12 9 7 7 10 14 15 13 11 9 8 8 7 7 6 6 7 9 11 14 17 20 22 20 15 12 11 10 10 10 10 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 10 10 11 9 6 4 4 nan
nan 7 4 1 2 5 9 13 15 17 17 15 10 7 7 8 10 12 11 9 8 7 8 8 8 8 9 8 7 7 8 8 9 9 9 10 11 12 13 13 13 12 11 11 11 11 9 7 5 3 3 4 6 8 9 10 11 11 11 11 10 9 9 8 8 8 9 11 12 12 12 11 10 10 10 9 9 10 13 16 18 19 16 13 10 7 6 7 9 11 11 9 6 6 7 9 10 9 8 7 7 8 9 8 8 8 9 10 10 11 11 11 11 12 13 14 14 15 16 16 14 12 11 10 8 8 8 8 7 6 3 -0 0 2 5 7 7 5 2 -2 -2 2 9 13 15 14 12 10 9 9 7 6 5 6 7 9 11 13 16 19 18 15 13 11 10 10 10 10 10 10 11 11 11 10 10 9 8 8 9 9 9 9 9 9 9 10 10 8 6 6 nan
nan 7 4 1 2 5 8 11 14 16 17 14 11 9 10 11 12 12 10 9 8 7 7 7 7 7 7 7 7 7 7 8 9 9 10 11 11 12 12 13 14 14 14 13 13 13 11 9 6 4 4 4 6 7 8 8 9 11 12 12 11 9 8 7 6 7 8 9 10 10 10 10 10 10 10 8 7 8 10 11 13 14 15 13 10 8 6 7 9 11 10 8 5 3 4 6 7 7 7 6 6 8 10 10 10 11 10 10 9 9 8 8 10 11 13 15 16 16 16 15 13 12 12 13 13 13 13 13 13 11 8 5 4 4 4 3 3 1 -0 -3 -5 -5 -1 6 12 15 15 13 11 10 9 8 7 7 8 8 10 11 14 16 17 16 14 12 10 9 9 10 10 10 10 11 11 11 10 9 8 8 8 9 9 9 9 9 9 9 9 9 8 8 nan
nan 5 3 1 2 4 7 11 15 17 17 15 13 12 12 12 12 11 9 9 9 8 8 8 7 6 6 6 7 7 7 7 8 10 11 12 12 12 13 13 14 15 15 16 16 17 15 12 10 8 7 8 9 10 10 8 8 10 12 13 13 12 9 7 5 5 6 8 9 9 9 9 9 9 8 7 7 7 7 6 7 8 11 13 11 9 7 7 9 12 12 10 8 5 4 5 7 9 10 10 11 12 13 14 13 12 10 9 9 9 9 8 8 10 12 14 14 14 14 13 12 12 13 14 15 16 16 16 15 13 11 9 8 8 7 6 5 4 3 2 -1 -3 -4 1 9 14 15 14 12 12 12 11 10 8 7 8 9 12 13 14 15 14 13 11 9 9 9 10 10 10 11 11 11 11 10 9 9 8 9 9 9 10 10 9 9 9 9 9 10 11 nan
nan 3 1 1 3 6 9 12 15 17 17 16 15 13 12 11 10 9 9 10 10 9 8 8 7 6 6 7 7 7 6 6 8 10 11 12 12 12 13 13 14 15 15 16 17 18 18 16 14 13 12 12 12 12 12 11 9 9 11 13 15 15 12 8 6 5 6 7 8 8 8 8 8 8 7 6 6 7 7 7 6 7 10 13 13 11 9 9 10 13 15 16 14 11 8 7 9 12 15 17 17 18 17 17 15 13 10 10 10 12 12 10 8 8 9 10 11 11 11 12 12 11 12 13 15 16 17 16 15 14 13 12 11 10 10 10 9 8 6 6 6 5 4 5 8 11 12 13 13 13 14 13 11 9 7 6 8 8 9 10 11 12 11 10 9 9 9 10 10 11 11 12 12 12 11 10 9 9 9 10 10 10 10 10 9 9 9 10 11 12 nan
nan 0 -1 0 3 7 10 13 15 17 18 17 15 12 10 8 9 10 11 12 11 9 7 7 7 8 8 8 6 5 5 5 7 9 11 11 11 11 12 13 13 14 14 15 16 18 19 17 16 15 14 13 12 11 12 11 10 9 10 12 15 16 14 10 8 7 7 6 7 7 7 8 8 8 7 7 7 8 9 10 10 11 13 15 15 13 11 10 11 12 16 18 18 15 11 8 7 11 15 18 19 19 18 17 16 14 11 11 12 12 12 11 9 8 8 8 9 10 10 11 11 11 11 11 12 12 13 14 16 17 15 13 11 10 10 10 10 8 7 9 11 12 13 11 9 8 9 11 13 13 13 12 10 9 7 7 7 6 6 8 10 12 11 9 9 9 10 11 11 12 12 13 13 12 11 10 10 10 10 10 10 11 10 10 9 9 9 9 10 12 nan
nan -1 -2 -1 3 7 10 13 16 17 18 16 13 10 8 7 8 10 11 11 10 8 6 6 8 10 12 10 7 5 4 4 6 8 9 10 10 11 12 12 12 12 12 13 14 16 17 17 15 14 13 12 10 10 10 11 10 10 9 11 14 16 16 12 9 7 6 5 6 6 7 7 7 8 9 9 9 9 10 11 12 14 15 16 16 14 12 11 10 9 11 13 13 12 10 8 6 7 10 14 15 15 16 16 15 13 11 10 10 10 10 10 9 8 8 8 8 9 9 10 10 10 10 9 7 6 7 10 14 16 15 12 10 8 8 8 8 8 10 13 15 17 17 16 13 8 7 9 10 10 9 8 7 6 7 9 10 10 10 11 12 13 12 11 10 11 11 12 13 13 14 13 13 12 11 11 11 10 10 10 11 11 10 9 9 8 8 9 10 12 nan
nan -0 -1 0 4 8 11 14 17 18 17 15 11 8 7 7 7 8 9 9 7 6 5 6 8 12 14 12 9 6 5 4 4 5 7 8 9 11 11 11 10 10 10 10 12 13 14 13 13 13 12 11 10 9 9 10 10 11 11 11 13 15 16 14 10 7 6 5 6 7 7 7 7 8 9 10 10 10 9 10 11 12 13 14 14 14 12 10 8 6 6 6 5 6 7 7 6 5 6 8 10 12 14 14 13 10 8 7 7 8 8 8 7 7 8 8 8 8 8 8 9 9 9 8 6 4 5 7 10 12 12 12 11 10 9 8 9 12 15 18 18 17 18 17 15 10 7 6 5 4 4 4 4 4 6 9 11 12 12 12 12 12 13 14 15 15 15 15 15 14 14 13 13 12 12 12 11 11 10 10 10 10 10 9 9 9 9 10 11 12 nan
nan 2 1 3 5 8 12 15 19 20 18 15 11 8 6 6 7 7 8 7 6 5 5 6 7 9 10 11 9 8 6 4 3 3 4 6 8 9 10 10 9 9 9 9 10 10 10 10 11 11 11 10 9 8 8 10 12 13 13 12 12 13 14 14 14 12 10 8 8 8 8 8 8 9 9 10 10 9 8 8 8 10 11 13 13 13 12 10 7 4 2 1 2 3 6 8 8 6 4 4 7 10 13 12 10 6 3 2 4 5 5 5 5 5 6 7 7 7 6 6 7 9 10 10 8 7 7 7 8 9 10 11 12 12 12 10 11 14 17 18 17 15 14 14 13 10 7 5 5 4 4 3 3 4 6 8 9 10 9 9 10 11 14 17 18 18 18 17 16 14 13 12 12 12 12 12 11 11 10 9 9 9 9 9 9 9 9 10 11 13 nan
nan 4 4 5 5 7 11 16 20 23 22 17 13 9 6 5 5 6 7 8 7 5 5 5 5 5 6 7 9 9 8 5 2 1 2 4 6 7 7 8 9 9 9 9 9 8 8 8 9 10 10 9 8 8 9 12 15 16 15 13 11 10 11 13 15 16 15 13 10 9 8 8 9 10 10 9 9 8 7 7 8 10 12 14 15 15 13 11 8 5 4 3 4 6 9 11 12 9 3 1 4 9 11 10 7 3 0 -1 -0 1 3 3 3 4 4 5 5 6 5 5 7 9 10 11 11 10 10 10 9 8 8 9 10 12 12 11 12 12 12 12 11 10 10 9 8 8 7 8 9 9 7 5 4 5 6 6 7 6 5 6 7 10 13 16 17 18 18 17 15 13 12 11 11 12 12 12 12 11 10 9 9 9 9 9 9 9 9 11 12 13 nan
nan 7 7 6 5 6 9 15 21 25 24 20 15 10 6 4 4 6 8 9 8 7 7 6 5 4 4 5 9 11 12 9 5 2 1 3 5 5 5 6 7 9 10 10 9 8 7 8 8 9 8 7 7 8 11 15 19 19 16 13 11 10 10 11 13 15 16 15 13 10 8 8 9 10 10 9 9 9 8 8 10 12 13 15 16 16 16 14 11 9 8 8 9 12 15 16 15 11 4 0 3 7 9 9 6 3 1 1 1 2 3 3 3 4 4 5 6 7 7 8 8 9 10 10 10 11 12 12 11 9 6 6 8 10 10 10 9 7 6 5 5 6 6 5 4 5 8 11 13 13 9 6 5 6 6 5 4 2 1 2 5 9 11 13 14 15 15 15 13 12 11 11 11 12 13 13 13 12 11 10 9 9 8 8 8 8 9 10 12 12 nan
nan 7 7 6 5 6 8 13 18 21 21 18 13 9 6 4 5 7 9 10 9 9 9 8 7 6 5 5 8 11 13 13 11 9 7 6 5 5 4 5 6 8 10 10 9 9 8 8 8 8 8 8 9 10 13 17 20 21 18 15 12 10 10 10 10 11 13 13 14 13 12 12 11 11 10 10 11 11 12 12 13 13 12 13 14 16 17 16 15 13 12 12 14 17 19 18 15 10 5 3 5 8 9 9 7 5 5 5 7 8 7 5 5 6 7 8 10 12 13 14 14 12 10 9 8 9 11 13 12 10 6 4 5 7 8 7 6 5 3 3 2 3 4 4 3 5 8 12 14 12 8 5 4 4 4 4 2 0 -0 2 5 8 9 10 11 12 13 13 12 11 10 11 11 12 13 14 14 13 13 12 11 10 9 8 8 9 9 10 11 11 nan
nan 5 4 4 6 7 9 11 14 16 16 13 10 8 6 6 6 8 9 10 10 9 10 10 9 7 6 6 7 10 12 13 14 15 15 13 10 8 5 4 5 7 9 11 11 10 10 9 8 8 9 10 13 15 16 17 19 20 20 17 14 11 10 9 9 9 10 11 13 15 15 14 13 12 11 11 11 12 13 14 14 13 12 11 12 13 15 16 15 14 13 15 17 19 20 16 11 6 5 7 9 11 12 12 11 9 8 8 9 10 10 8 8 9 10 12 14 17 19 21 21 18 14 10 7 6 8 11 12 11 8 5 5 6 7 7 6 6 5 4 3 3 3 3 4 7 10 13 12 9 6 4 4 2 1 1 1 2 3 5 7 7 8 9 10 11 11 11 11 10 9 10 10 11 12 13 13 13 13 12 12 11 10 9 9 9 10 10 10 10 nan
nan 5 3 4 6 7 9 11 12 13 12 10 8 8 9 9 10 10 11 11 11 10 10 9 8 7 5 5 6 8 10 12 13 15 18 19 16 12 7 4 4 6 9 11 12 11 11 10 9 9 10 13 16 18 17 16 17 18 19 18 16 13 10 9 8 7 7 9 11 14 14 12 11 11 11 10 10 10 11 12 13 13 12 11 11 11 12 13 13 13 14 16 18 20 19 14 6 2 2 5 8 11 13 14 14 13 11 9 8 9 10 10 10 10 11 12 14 18 22 24 25 23 18 12 8 7 7 8 9 9 8 7 6 7 7 7 8 8 8 6 4 3 3 4 7 10 12 12 10 7 6 6 5 2 -0 -1 -0 2 5 6 7 7 8 8 9 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 11 nan
nan 7 4 4 5 7 9 11 12 12 10 8 8 9 10 12 12 12 12 13 12 11 10 9 8 6 4 4 6 8 9 10 10 12 16 20 19 14 9 6 4 5 7 9 11 13 12 11 10 9 10 13 15 17 16 14 13 13 15 16 15 13 10 8 7 6 6 7 9 12 12 10 10 9 9 9 9 8 8 9 10 11 12 11 11 11 12 12 12 13 14 16 19 20 19 13 5 -0 0 2 4 6 9 11 13 14 13 11 9 8 8 8 9 8 8 9 12 16 20 23 23 22 17 12 10 9 8 8 8 7 7 7 7 7 6 7 8 8 7 4 2 2 4 7 10 11 11 9 7 6 7 8 8 6 3 0 -0 1 4 6 7 8 9 9 10 10 11 11 11 11 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 9 9 10 11 12 nan
nan 8 6 5 5 6 8 11 13 12 10 9 8 8 10 11 12 12 12 12 12 12 11 10 8 6 4 4 6 7 8 9 9 10 13 18 19 16 13 10 8 6 5 6 9 13 14 13 11 9 9 10 12 13 12 10 9 9 10 11 12 11 10 9 7 6 6 7 9 10 10 9 9 8 9 9 10 10 9 9 9 10 10 11 11 12 13 13 12 13 14 17 20 21 19 14 7 3 2 2 1 1 3 7 10 12 13 12 10 8 6 4 4 4 4 6 9 13 16 18 19 17 15 12 11 11 10 10 9 7 6 7 7 6 5 6 7 7 6 2 1 3 7 11 13 12 9 5 3 4 8 11 12 12 9 5 2 2 4 6 8 10 10 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 10 10 10 10 9 10 11 12 12 nan
nan 8 6 4 3 4 6 9 11 11 11 10 9 8 9 9 10 10 10 11 11 11 12 10 8 6 4 4 6 7 8 8 8 9 11 14 16 15 14 14 12 8 4 2 5 10 14 15 13 10 8 7 9 10 9 8 7 7 8 8 10 11 12 11 10 8 7 8 9 10 9 7 7 8 9 11 12 12 13 13 13 13 12 12 12 13 13 12 11 11 14 17 20 21 20 16 12 8 5 3 2 2 3 6 9 12 13 12 11 9 6 4 4 4 5 6 8 11 13 14 14 13 13 12 12 12 12 12 10 8 7 6 6 5 5 6 7 7 6 3 2 5 10 13 13 10 6 2 2 4 8 13 15 16 13 8 5 5 6 8 9 11 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 10 10 10 10 10 10 10 11 11 11 nan
nan 7 6 4 1 1 3 5 7 8 9 9 8 7 7 7 8 9 9 9 9 10 10 9 7 5 4 5 7 8 8 8 8 8 9 10 11 11 12 14 14 12 7 2 3 8 12 14 13 10 8 6 7 8 8 8 7 7 8 8 10 12 14 14 13 11 9 8 9 8 7 6 5 7 10 11 12 13 14 16 16 16 15 14 13 12 10 8 7 9 12 16 19 19 18 17 15 12 9 7 6 7 7 9 10 11 12 11 11 10 10 9 9 8 8 8 9 11 12 12 11 11 12 13 13 13 13 13 12 10 8 7 6 6 6 6 7 7 6 4 4 7 11 13 12 9 4 2 4 7 10 14 16 15 13 9 6 6 7 8 10 12 12 13 12 12 12 12 12 11 11 11 11 12 12 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 nan
nan 7 6 4 2 1 2 3 4 4 5 5 4 4 4 4 6 8 9 9 8 8 8 8 6 5 5 6 7 8 8 8 8 7 7 8 7 7 8 11 14 15 12 7 4 6 9 11 11 10 7 7 6 7 8 8 8 8 9 10 11 13 15 15 15 14 12 10 9 7 6 5 5 6 8 9 9 9 11 14 15 15 15 14 12 10 8 6 6 8 12 15 16 15 14 16 17 16 14 13 11 11 10 11 11 10 10 10 10 11 13 13 13 13 12 11 12 13 14 13 11 11 12 13 14 14 14 14 14 13 10 9 8 7 7 7 7 7 6 5 6 9 12 13 12 9 6 5 6 8 12 15 15 14 10 7 6 7 8 9 11 12 13 13 13 13 12 12 12 12 11 11 11 12 13 13 14 13 13 12 11 11 10 10 10 9 9 8 8 8 nan
nan 8 7 7 6 5 4 5 5 3 1 0 1 3 4 5 7 9 10 10 8 8 9 8 7 5 5 6 7 8 8 7 7 7 7 7 7 6 6 8 12 14 14 11 7 6 7 8 9 8 7 6 7 8 8 9 8 9 10 11 12 13 14 14 14 14 14 13 10 7 5 4 4 5 5 6 7 7 8 10 12 12 12 11 10 9 8 7 8 10 13 14 14 11 10 13 17 19 19 16 13 11 10 10 10 9 9 9 9 11 13 14 14 14 14 15 15 16 16 15 13 12 12 13 14 14 14 13 14 14 13 12 11 10 9 8 7 7 6 6 8 10 12 12 11 9 7 7 7 8 10 13 13 11 8 6 6 7 8 10 11 12 13 13 13 13 13 13 13 12 12 12 13 14 15 15 15 15 14 13 12 11 10 9 9 8 8 7 8 8 nan
nan 9 9 9 9 9 8 8 8 6 3 1 3 6 9 10 11 12 12 10 7 7 8 8 7 5 4 5 6 6 6 6 6 6 7 8 8 7 7 7 9 11 11 10 8 6 6 6 6 6 6 6 7 8 9 9 9 9 10 11 12 12 12 12 12 13 14 13 10 6 3 2 3 4 4 5 6 7 8 9 9 9 9 9 9 8 7 7 9 11 14 15 13 10 8 11 15 17 18 16 12 9 8 9 10 10 9 9 9 9 10 11 11 12 14 15 16 17 16 15 14 12 11 12 12 12 12 12 13 14 15 14 13 12 11 10 9 7 7 7 9 10 12 11 10 8 7 7 8 9 9 10 10 8 6 6 7 8 10 12 13 14 14 14 14 14 13 13 13 13 14 15 16 16 16 15 15 14 13 13 12 11 10 9 8 7 7 7 7 8 nan
nan 9 10 9 9 10 11 11 11 10 7 6 7 10 13 14 15 14 13 9 6 5 6 8 8 6 5 5 5 6 5 5 5 6 7 9 9 8 7 8 8 9 9 8 6 5 5 5 6 6 5 6 7 8 9 9 9 9 10 10 11 11 10 10 10 10 11 11 8 5 2 2 2 3 4 5 6 8 9 8 8 7 8 9 8 5 3 4 8 12 14 15 13 10 8 10 13 15 15 13 10 7 7 9 11 12 10 9 7 7 6 7 8 10 12 13 15 16 15 15 14 12 11 10 10 11 12 13 13 14 15 15 14 13 13 12 10 9 8 8 9 10 11 10 9 7 7 7 8 9 10 10 8 6 5 6 8 10 12 14 15 15 14 14 14 14 15 15 15 15 16 16 17 16 15 14 13 12 12 11 11 11 10 9 8 7 7 7 7 7 nan
nan 8 8 7 7 9 12 14 14 12 10 9 10 12 13 14 14 14 12 8 5 4 4 7 8 7 5 4 5 5 6 6 6 6 7 8 9 8 8 8 8 8 8 6 4 3 3 5 6 6 5 5 6 7 8 9 9 9 9 9 10 10 10 9 9 9 9 8 6 4 2 1 1 2 3 4 6 8 9 8 7 6 7 9 9 6 2 3 7 11 13 12 11 9 9 10 12 14 14 12 9 7 8 10 12 12 10 7 5 4 4 6 7 9 10 12 13 13 14 15 14 13 11 10 10 12 13 14 14 14 13 13 12 11 11 10 10 9 9 9 9 10 11 10 8 6 6 7 8 10 11 10 8 5 5 6 8 11 14 15 15 15 15 15 16 16 17 16 16 15 14 14 13 13 12 11 11 11 10 10 10 11 10 9 8 8 7 7 7 7 nan
nan 6 6 6 7 9 11 12 12 11 10 11 11 12 13 13 13 12 10 8 5 3 4 5 8 7 5 3 4 5 6 6 6 6 7 8 8 8 8 8 9 9 8 6 4 3 3 4 5 6 6 6 5 6 7 8 9 9 9 9 9 10 10 10 10 9 8 7 6 4 3 2 2 2 3 4 5 6 7 6 6 6 7 8 8 7 5 4 6 9 11 10 9 9 9 11 12 14 15 13 10 9 10 11 11 10 8 5 3 2 3 5 7 9 10 10 11 12 13 14 14 13 12 11 11 12 13 13 13 13 12 12 10 8 6 5 6 7 8 9 9 10 10 9 8 6 6 7 8 10 11 9 7 5 5 7 9 12 13 13 15 16 17 18 17 17 16 15 13 12 11 10 9 9 9 9 10 10 10 10 10 10 10 9 9 8 8 7 7 7 nan
nan 8 8 9 9 8 8 8 7 7 8 10 12 12 13 13 13 12 11 9 6 4 3 4 6 6 4 3 4 5 6 6 6 5 5 7 7 8 9 10 11 11 9 7 5 3 3 4 4 5 6 6 6 6 7 9 10 10 10 10 10 11 11 11 12 11 9 8 7 5 5 5 4 4 4 4 4 4 4 4 4 5 6 7 8 7 6 5 5 7 9 9 8 8 9 10 12 14 15 14 12 11 11 11 10 9 7 5 4 3 3 4 5 7 8 9 10 11 12 13 13 12 11 11 11 11 11 11 10 10 10 10 10 8 6 4 4 5 7 9 10 11 11 10 9 8 7 8 9 10 9 7 5 5 6 8 11 13 12 12 14 16 18 18 17 15 14 12 10 8 7 6 6 6 7 7 8 10 10 11 11 10 10 9 8 8 8 8 8 8 nan
nan 10 10 11 11 9 7 5 4 3 5 8 10 12 13 13 14 13 12 11 8 5 3 3 4 4 3 3 4 6 6 6 5 5 5 6 8 10 12 13 13 12 10 8 6 5 4 4 4 5 6 7 7 7 8 10 11 11 11 11 11 12 12 12 12 11 10 9 7 7 7 7 8 7 7 6 5 4 3 3 3 4 5 7 7 7 7 5 4 4 6 7 7 7 8 10 12 13 14 13 13 12 11 9 8 7 6 6 6 5 4 4 5 6 7 9 10 11 11 11 12 12 11 11 11 10 10 10 9 8 9 10 10 10 8 7 6 7 9 10 12 12 12 11 11 10 10 10 9 8 7 5 4 5 7 9 11 11 10 10 12 14 15 15 14 12 11 10 8 7 6 6 6 6 6 7 8 9 10 11 12 11 10 9 8 8 8 8 8 8 nan
nan 10 10 12 13 11 8 5 4 4 5 7 8 10 12 13 14 14 12 10 8 6 4 3 3 3 4 5 6 7 7 7 7 6 5 5 7 10 12 14 14 13 12 11 9 8 6 5 5 6 7 8 9 9 9 10 11 11 12 13 13 12 11 10 9 10 10 9 8 8 9 10 11 11 9 7 6 5 4 4 5 6 7 7 7 7 6 4 3 2 3 4 6 7 8 10 12 14 14 13 13 12 10 8 5 4 4 4 4 5 6 6 6 7 8 10 11 12 12 12 13 12 11 11 11 11 11 11 11 10 10 11 11 10 9 8 8 9 9 10 11 12 12 12 12 13 12 11 8 6 4 4 5 7 8 7 6 6 6 9 10 11 11 10 9 9 9 8 7 7 6 6 7 7 7 8 8 9 9 11 12 12 11 9 9 8 8 8 8 8 nan
nan 7 8 11 13 12 9 6 6 7 9 10 9 10 11 12 14 13 12 9 7 5 3 3 4 5 6 7 8 8 9 9 9 7 6 6 7 9 10 12 13 13 13 12 11 10 9 7 7 7 9 10 10 10 10 11 11 12 13 13 12 11 9 8 8 9 10 10 10 10 11 12 13 13 11 9 7 6 6 6 7 8 8 8 7 7 7 6 5 3 2 3 5 7 8 10 13 16 17 16 15 13 10 7 4 3 3 3 4 6 8 8 8 8 10 13 14 14 14 14 15 14 12 11 11 12 13 14 14 14 13 13 12 11 9 8 7 7 7 8 10 11 11 12 12 13 13 11 8 5 4 6 8 10 9 7 5 5 6 8 9 9 8 7 7 8 8 8 7 7 7 8 8 9 9 10 10 9 9 9 10 11 11 11 10 9 9 9 9 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
CAPE
71 64 75 102 132 148 145 131 118 108 96 85 80 79 73 67 64 62 61 61 61 64 64 64 63 62 62 62 63 67 71 75 78 80 83 85 86 86 85 86 89 92 91 84 74 62 48 48 54 58 61 60 57 55 55 55 55 58 64 70 72 71 72 75 75 70 37 14 6 2 0 0 0 0 0 0 0 0 0 0 1 10 23 32 44 52 64 82 93 91 83 76 64 45 31 31 33 36 46 63 83 98 90 65 49 51 48 37 22 14 10 4 2 5 8 13 19 41 85 120 108 50 7 3 3 7 8 4 1 0 2 7 8 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 7 38 101 136 115 139 170 138 175 270 239 71 51 32 14 4 4 15 80 220 386 509 564
77 65 69 87 111 136 151 144 130 118 105 95 90 83 74 69 67 66 65 66 68 70 69 68 68 68 69 70 69 69 68 70 72 77 81 85 87 86 84 83 84 86 88 90 88 81 74 71 69 65 59 53 51 51 54 59 64 68 73 75 75 77 77 77 73 56 21 3 0 0 0 0 0 0 0 0 0 0 1 1 3 22 42 55 75 96 115 140 145 137 121 107 91 66 44 38 39 38 42 55 77 99 96 62 52 53 53 43 34 21 10 4 3 6 10 18 26 55 131 206 198 96 6 3 6 12 14 7 1 0 2 6 7 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 1 2 3 1 0 0 0 0 0 2 24 92 190 178 140 291 362 265 248 409 439 177 112 111 74 37 41 95 201 338 470 559 604
89 73 71 82 104 133 155 155 139 125 110 103 97 89 81 76 73 70 68 68 70 72 71 70 71 73 76 78 81 80 76 73 72 74 78 81 84 85 84 82 80 81 81 86 95 96 92 85 79 71 60 50 47 50 57 68 75 78 78 77 77 77 74 69 54 31 8 1 0 0 0 0 0 0 0 0 0 2 5 10 16 42 74 107 140 174 207 238 243 221 181 147 118 87 59 44 39 32 31 40 61 87 92 68 59 52 54 49 43 25 10 4 4 7 15 26 40 83 187 297 294 151 6 2 8 19 19 8 1 0 2 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 1 3 4 2 0 0 0 0 0 6 36 103 175 159 86 354 511 481 385 478 521 286 181 166 136 114 145 232 342 446 538 613 665
114 94 86 91 109 138 162 163 144 128 106 103 99 95 90 85 80 76 73 74 76 78 75 73 76 79 80 83 89 90 87 83 80 77 76 76 79 82 83 82 82 81 80 80 92 98 100 97 88 76 63 53 50 55 66 78 86 88 86 82 76 73 66 54 29 10 2 0 0 0 0 0 0 0 0 0 0 3 12 28 55 98 135 170 204 238 277 320 359 339 267 193 136 92 63 47 39 30 25 35 52 76 88 78 64 61 63 60 42 20 8 5 8 15 26 38 64 133 249 363 343 173 16 4 9 17 15 9 7 5 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 1 1 1 0 0 0 0 0 5 40 94 134 167 257 422 629 707 613 556 497 357 265 233 211 205 215 277 409 514 578 640 698
136 124 114 113 124 151 174 167 145 123 102 99 95 94 92 89 85 83 83 84 85 88 88 89 93 98 100 100 106 103 98 95 93 86 80 76 78 81 81 83 87 88 85 84 91 98 102 108 103 88 72 62 60 65 75 88 94 96 94 85 73 65 51 30 11 3 0 0 0 0 0 0 0 0 0 0 0 3 18 53 106 156 172 184 202 219 243 292 359 385 334 234 148 92 61 48 41 33 28 35 47 70 79 74 67 70 77 68 46 19 7 8 15 27 43 60 94 177 289 375 325 168 42 18 23 17 6 4 9 9 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 2 34 104 159 166 221 413 623 715 661 579 510 433 348 296 288 290 294 319 451 546 598 665 738
140 144 145 147 156 182 202 177 148 127 110 100 94 94 95 93 91 92 95 98 102 106 110 114 120 127 132 134 133 126 117 115 114 106 95 86 83 85 86 89 94 97 95 92 93 99 105 113 116 106 87 72 68 73 85 98 100 102 96 82 67 52 33 13 3 0 0 0 0 0 0 0 0 0 0 0 1 11 47 100 146 169 163 162 163 164 168 193 248 307 322 246 154 98 65 49 43 38 34 38 48 68 69 62 62 72 79 69 50 31 16 18 31 53 72 85 111 191 312 345 267 168 91 60 50 25 5 0 6 9 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 0 0 0 0 0 0 0 0 0 0 41 111 181 216 237 386 572 625 576 532 510 462 387 344 345 325 355 373 483 553 597 661 741
124 139 157 176 194 215 229 195 159 139 120 109 104 100 98 100 103 107 114 121 127 133 138 138 139 144 153 156 148 138 135 139 145 139 120 103 96 95 95 96 99 103 103 98 96 98 105 116 129 128 107 84 74 81 94 104 105 106 98 81 61 41 20 4 1 0 0 0 0 0 0 0 0 0 0 0 9 46 98 140 155 156 151 146 139 132 127 131 155 197 229 211 151 107 72 50 43 43 44 47 59 75 71 59 61 78 92 85 64 46 37 49 80 110 118 104 110 182 285 280 186 172 123 88 66 36 10 2 3 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 14 46 147 235 234 286 464 581 542 483 467 437 386 363 389 411 405 461 513 548 595 661 741
95 108 137 167 194 215 224 207 177 154 142 134 126 121 121 125 134 141 153 159 159 155 142 129 120 119 123 125 122 119 123 136 160 176 159 131 115 108 105 104 103 104 108 105 101 97 100 114 134 146 133 103 83 85 96 104 106 109 101 83 57 32 13 2 0 0 0 0 0 0 0 0 0 0 0 3 23 94 126 139 142 142 139 134 128 115 101 94 104 125 142 149 136 109 79 55 46 49 53 60 74 76 70 63 62 83 94 86 67 58 62 90 132 160 158 120 107 158 226 207 103 129 96 77 62 40 17 6 5 4 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 5 45 100 136 190 334 496 503 480 476 435 389 393 441 469 439 463 517 541 587 664 746
76 74 95 119 145 167 181 187 186 177 172 163 156 156 167 179 194 198 198 188 163 131 105 90 83 79 83 88 91 92 91 102 140 189 200 171 140 123 117 112 108 108 112 119 114 103 100 109 132 156 158 130 102 95 99 101 106 109 97 78 52 23 8 2 0 0 0 1 1 0 0 0 0 0 4 22 65 119 121 126 126 127 128 125 119 102 78 58 55 64 78 94 105 102 86 66 56 61 63 68 78 82 71 62 62 76 89 95 96 99 110 127 143 151 171 140 119 146 186 168 94 101 73 70 62 42 22 11 7 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 5 28 78 155 257 371 446 467 497 457 409 426 488 523 534 520 553 563 598 681 774
82 67 68 74 88 106 123 144 161 174 184 179 182 195 243 301 295 244 193 153 114 86 78 78 83 98 116 117 116 101 84 79 101 149 191 195 166 141 132 127 122 118 122 134 134 112 104 108 129 162 179 159 123 106 101 102 111 111 94 69 40 11 3 1 0 1 2 3 1 0 0 0 0 1 12 59 116 118 114 115 116 121 123 120 109 89 58 29 19 23 37 59 78 89 89 76 70 82 73 69 80 95 92 77 71 67 67 83 113 139 154 163 156 130 169 166 140 133 137 130 115 119 77 74 67 57 41 23 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 12 55 130 201 245 369 421 485 481 444 454 517 570 583 572 579 608 651 727 822
110 86 70 61 62 71 87 109 126 143 159 169 184 207 262 273 241 195 147 108 83 81 91 101 115 151 194 214 210 170 128 93 79 98 141 174 177 162 156 153 147 137 134 143 149 127 109 109 128 170 202 194 153 120 109 112 120 113 90 57 24 3 0 0 0 3 6 4 1 0 0 0 0 7 36 100 145 135 128 124 122 132 138 132 111 79 42 13 5 10 23 48 69 81 86 84 82 100 75 72 96 131 138 109 84 70 77 98 119 137 158 176 173 136 135 145 115 94 79 82 104 118 94 87 78 75 70 48 17 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 9 49 118 165 170 279 388 472 501 485 485 523 571 597 603 622 662 705 764 849
140 109 88 76 72 75 85 101 116 128 140 151 167 184 197 195 171 137 109 90 82 86 103 119 124 150 191 244 273 260 224 149 99 83 99 131 162 180 186 179 174 165 153 152 154 140 116 110 124 175 227 233 196 154 135 129 129 113 80 39 10 1 0 0 0 3 5 4 1 0 0 0 0 18 85 134 161 163 158 151 141 149 152 138 107 64 25 4 1 7 26 56 77 86 91 93 93 103 74 81 118 172 187 150 103 78 82 102 109 111 124 137 135 114 92 103 79 59 52 59 76 88 84 86 80 71 74 68 38 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 1 9 46 94 143 255 383 478 519 522 527 549 577 600 614 633 683 742 776 841
140 112 95 89 88 91 97 108 121 133 144 156 170 185 190 178 150 112 88 77 80 96 114 123 117 122 132 174 229 285 311 257 176 117 93 99 133 178 208 207 194 191 180 166 156 146 132 126 134 178 249 272 238 191 161 146 134 111 63 18 2 0 0 0 0 1 5 4 1 0 0 0 0 2 17 82 128 159 171 167 153 144 139 124 85 42 12 1 4 15 39 67 89 99 103 103 102 100 81 88 125 185 209 177 126 99 97 90 68 62 72 78 76 65 51 54 56 52 49 49 52 54 55 64 70 67 79 88 60 20 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 30 108 254 395 493 533 541 546 563 589 612 629 649 707 763 769 813
115 97 85 82 89 96 103 114 131 152 172 185 200 218 219 186 127 94 73 68 75 95 115 124 122 118 107 113 156 238 327 363 316 223 141 100 107 151 200 221 211 204 207 184 161 152 151 152 159 191 267 310 282 229 188 163 140 108 47 7 0 0 0 0 0 1 3 2 1 0 0 0 0 0 0 15 66 116 146 153 143 128 116 103 58 20 4 1 8 24 48 71 91 105 111 111 109 102 87 89 126 182 197 162 121 99 85 65 52 39 42 41 41 38 31 26 30 40 41 38 38 39 41 48 61 75 91 97 78 37 7 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 4 66 224 411 521 543 547 553 568 599 635 663 691 745 778 784 782
91 81 76 76 84 93 102 114 133 162 188 205 221 226 182 131 100 85 81 87 95 96 99 107 117 123 121 117 136 188 277 372 425 386 268 153 106 127 185 228 225 205 210 202 166 153 160 172 184 212 276 337 326 274 224 184 146 94 27 0 0 1 1 1 1 2 2 1 0 0 0 0 0 0 2 9 33 69 106 115 101 83 74 62 29 5 0 3 14 34 54 68 88 107 117 116 114 101 86 94 135 186 185 160 139 118 89 51 30 23 26 27 28 29 24 20 23 30 28 26 32 38 39 40 49 68 88 97 84 42 14 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 54 206 416 559 571 544 557 571 610 671 723 750 768 774 772 772
79 74 74 77 84 92 102 112 126 149 172 188 196 176 137 113 95 88 92 97 96 87 83 89 104 122 138 149 155 163 199 277 387 451 386 246 139 130 187 246 237 203 192 188 165 145 154 176 197 228 283 344 363 331 284 220 159 78 11 0 1 3 3 3 3 3 2 1 0 0 0 0 0 0 0 4 17 40 76 61 40 29 24 18 7 0 0 4 17 37 51 64 85 104 121 118 116 100 86 98 142 186 186 168 148 110 71 45 29 19 18 17 18 19 16 15 19 21 18 20 33 42 41 37 36 45 65 85 83 34 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 50 196 407 569 584 526 553 580 626 693 750 769 761 745 727 725
78 73 74 76 82 90 99 106 113 128 148 163 170 163 142 117 91 84 87 90 90 91 95 103 117 136 152 165 165 150 143 165 242 349 366 283 188 164 207 266 238 187 159 155 152 134 132 155 187 226 284 349 392 392 352 261 173 69 8 1 4 6 6 6 6 4 3 1 0 0 0 0 0 0 0 4 14 28 33 12 2 2 2 2 1 0 0 4 19 39 50 59 74 90 109 112 116 101 91 104 140 175 181 168 137 83 44 28 26 22 18 16 14 11 10 11 14 16 15 19 30 41 47 42 31 26 35 49 42 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 57 215 427 578 596 546 559 591 645 702 743 755 742 725 715 696
87 76 75 73 77 83 90 96 102 117 134 146 160 159 135 109 87 79 77 81 90 100 111 124 139 153 153 153 148 135 122 118 141 206 249 235 200 195 232 279 232 161 128 126 126 115 108 126 169 212 275 345 398 417 384 286 188 56 10 3 2 4 8 8 6 3 2 1 0 0 0 0 0 0 1 4 6 7 3 1 0 0 0 0 0 0 0 4 16 34 45 51 63 80 92 103 108 107 116 149 186 206 198 173 142 83 39 24 20 19 20 17 15 9 7 9 12 14 13 16 27 41 52 49 35 22 18 23 20 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 62 243 473 624 650 630 608 618 655 695 726 741 739 736 737 721
91 77 75 70 74 76 80 85 93 107 123 132 145 139 119 100 84 74 68 72 85 100 115 128 138 141 123 117 119 122 120 116 121 139 162 171 176 195 231 254 210 140 106 103 102 93 90 110 150 207 283 357 415 435 397 303 206 36 16 6 2 5 9 7 4 1 0 0 0 0 0 0 0 0 2 1 1 0 0 0 0 0 0 0 0 0 0 3 11 24 38 41 57 75 84 91 92 98 114 173 234 248 216 168 132 95 47 24 14 17 20 17 15 10 6 9 11 11 9 12 22 38 51 48 35 19 10 8 3 0 0 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 58 277 531 678 705 707 681 662 670 697 721 734 741 749 757 746
91 79 74 68 69 70 72 76 84 96 109 123 135 127 98 76 66 60 60 65 80 97 112 120 118 107 92 83 94 114 124 126 126 125 125 130 143 167 195 205 179 132 92 91 88 82 85 106 149 220 305 373 420 438 390 268 130 16 25 18 9 8 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 2 6 13 21 33 47 71 81 80 77 83 90 153 252 293 254 182 128 91 54 27 10 9 15 17 15 10 7 9 11 9 7 8 16 30 40 35 23 10 4 4 5 1 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 1 46 306 581 718 743 764 749 714 705 709 714 717 724 737 751 739
87 81 74 65 62 64 66 71 75 80 91 107 119 109 84 68 58 52 52 62 78 95 104 103 96 85 78 77 84 114 128 132 130 124 115 109 113 125 141 153 153 126 88 82 79 74 82 116 174 250 329 390 423 431 368 204 60 22 30 45 20 12 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 1 3 6 20 38 63 69 65 64 66 59 83 183 250 225 167 118 81 53 23 9 7 13 17 15 11 8 9 10 7 5 7 14 21 22 13 8 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 2 27 315 607 745 774 797 793 760 744 742 738 732 732 744 757 744
81 80 76 69 63 61 63 69 71 70 76 88 96 89 85 75 64 56 54 62 76 90 89 81 79 79 79 81 86 107 118 121 121 116 107 99 97 98 104 118 126 107 82 74 67 63 90 144 215 292 363 415 440 428 326 142 58 44 43 52 20 11 6 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 1 8 27 48 59 57 54 49 40 37 83 155 171 141 100 69 44 15 9 10 16 19 17 13 9 8 8 5 4 7 11 11 7 2 1 1 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 26 336 632 772 801 812 814 797 784 785 782 774 772 777 780 772
75 77 79 73 65 62 63 66 66 64 67 76 84 86 85 81 71 67 68 76 86 88 78 66 69 75 79 79 81 90 98 99 99 97 92 87 85 86 87 88 82 73 72 71 67 85 132 192 265 338 400 442 450 400 268 110 96 74 50 37 14 7 4 3 2 1 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 14 36 60 63 49 32 20 18 25 65 128 132 96 54 26 15 21 22 22 21 17 12 9 9 9 8 7 8 7 4 1 0 1 3 3 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 2 0 0 2 32 309 613 784 829 826 821 813 800 798 793 785 789 789 774 770
66 74 78 75 69 64 63 63 61 58 59 66 74 74 71 70 75 83 89 100 98 86 72 64 66 70 74 76 76 78 79 77 75 72 66 64 64 64 60 52 45 47 62 75 94 133 191 248 316 377 425 445 417 331 211 112 128 88 50 26 12 5 3 5 3 1 0 0 0 0 1 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 12 40 69 77 60 40 26 19 18 29 76 149 122 63 26 26 41 43 32 20 14 11 11 12 12 12 10 8 3 1 0 1 1 2 2 4 6 8 6 4 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 2 23 21 3 0 3 30 271 582 788 861 859 841 827 811 802 787 788 809 802 764 751
58 70 77 79 76 67 64 62 58 54 54 57 62 61 62 68 76 85 94 108 95 78 69 67 72 77 77 74 74 72 70 65 59 54 54 54 53 50 45 41 41 47 62 90 129 179 236 291 350 399 426 421 372 285 191 131 120 87 58 36 18 6 4 6 4 1 0 0 0 1 3 7 8 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10 33 60 80 78 71 64 49 30 24 47 123 170 107 55 47 58 51 36 19 11 11 13 14 14 14 13 8 2 1 2 2 1 0 1 4 8 11 12 9 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 2 55 50 16 2 5 38 212 493 747 890 925 903 877 862 850 827 834 860 847 802 779
54 67 76 80 78 71 66 62 57 52 51 52 54 55 56 63 68 75 89 102 90 75 73 76 80 81 77 72 71 69 64 62 59 57 56 57 58 55 49 43 44 53 70 107 157 212 269 320 365 398 410 384 323 254 187 133 96 71 62 46 24 13 9 8 4 1 0 0 1 5 10 13 10 6 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 12 28 50 70 87 91 75 48 31 43 101 211 176 110 78 67 53 30 12 9 13 14 15 15 14 12 3 0 0 2 2 1 0 0 3 9 13 14 10 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 4 2 0 0 0 0 0 0 0 0 0 0 14 87 77 35 14 19 56 178 441 723 909 989 989 962 948 934 910 907 919 902 862 837
52 64 73 79 78 73 68 63 58 52 48 46 47 49 53 54 58 61 79 94 88 75 74 77 80 79 73 67 65 66 60 61 60 58 55 54 55 54 49 44 47 58 79 116 165 216 271 315 346 359 353 325 262 200 163 113 67 55 70 69 60 47 29 15 6 2 1 3 10 17 17 11 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 15 28 46 63 71 67 49 45 96 213 253 180 118 74 41 16 8 12 16 17 17 15 14 10 0 0 3 7 7 5 4 4 5 7 10 12 12 9 5 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 4 1 0 0 0 0 0 0 0 0 0 0 0 3 66 147 125 73 45 42 60 127 279 503 793 975 1035 1031 1019 1003 981 970 966 946 917 903
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52 55 59 62 64 68 67 64 61 56 49 43 41 42 46 50 54 51 57 70 74 73 69 68 70 72 67 60 56 55 53 53 50 48 47 46 44 44 44 47 49 57 71 91 116 145 175 215 239 247 245 229 185 110 65 36 38 73 117 153 181 125 96 65 37 24 29 43 50 25 6 1 1 2 2 1 0 0 0 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 19 52 48 71 157 255 259 173 81 30 18 28 40 42 27 7 1 0 3 7 13 25 28 32 40 40 30 15 4 3 4 12 14 13 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 7 53 200 277 238 173 115 76 72 119 196 334 600 811 964 1049 1071 1058 1042 1037 1032 1028 1031 1033
56 58 59 59 59 63 65 65 64 60 52 43 40 41 46 51 55 53 46 58 64 66 65 65 67 68 64 57 53 49 46 45 44 46 46 45 44 43 44 48 53 58 63 73 94 123 153 187 215 228 236 227 184 110 40 13 34 70 108 136 135 88 81 63 38 36 41 42 30 8 1 0 1 3 4 2 1 0 0 1 4 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 4 20 58 49 68 132 201 214 156 77 35 32 47 50 35 11 0 2 7 25 36 38 36 36 42 49 47 34 21 15 14 10 14 15 16 11 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 21 104 264 353 300 233 160 122 133 180 248 376 581 769 931 1039 1084 1080 1062 1051 1042 1040 1055 1058
60 62 61 59 57 58 62 66 66 62 55 47 41 40 45 51 54 48 40 45 54 57 60 62 63 64 60 53 49 44 41 40 41 45 46 44 44 45 47 50 53 54 56 62 83 109 135 165 196 211 214 211 179 106 28 15 35 73 85 70 50 41 44 34 34 61 62 32 6 1 0 0 1 3 3 2 1 2 3 4 8 13 8 0 0 0 0 0 0 0 0 0 0 0 0 2 5 4 3 11 30 69 61 89 143 194 209 175 116 67 45 41 31 15 3 6 19 37 64 66 55 46 44 51 55 49 46 43 36 27 17 14 8 13 9 3 1 0 0 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 30 138 314 425 349 277 191 180 215 255 321 430 592 760 920 1042 1103 1105 1076 1048 1031 1029 1050 1063
61 62 60 59 56 55 60 68 72 70 63 55 48 44 42 45 49 41 32 34 44 50 55 59 60 60 56 50 46 42 38 37 40 44 43 41 40 43 47 48 47 46 45 56 82 102 122 146 162 156 130 105 72 28 14 32 64 106 73 33 28 35 32 20 27 63 59 21 0 0 0 1 2 3 2 0 2 6 10 12 13 17 14 5 0 0 0 0 0 0 0 0 0 0 0 3 8 7 10 25 53 77 68 91 147 216 255 239 180 108 49 19 14 10 15 36 58 80 97 84 64 46 40 43 49 53 58 53 38 20 10 7 4 5 4 2 0 0 0 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 29 145 345 506 426 342 269 274 308 346 401 490 625 774 924 1047 1115 1121 1088 1049 1028 1021 1038 1074
60 57 52 51 50 52 58 65 71 73 70 65 58 51 45 44 47 38 29 31 40 48 53 57 59 58 54 48 44 40 37 35 36 39 38 37 38 40 39 34 34 33 40 65 107 120 133 140 118 76 33 6 6 2 8 31 64 82 28 9 77 80 44 13 7 13 7 3 2 2 4 6 4 5 2 1 2 8 16 20 20 20 18 10 3 0 0 0 0 0 0 0 0 0 0 1 5 8 13 31 66 97 82 61 123 231 299 285 204 107 39 8 15 25 51 81 98 104 109 93 77 67 60 53 48 46 58 41 34 23 12 5 2 3 2 1 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 22 130 352 569 528 390 352 376 415 451 496 567 670 795 932 1052 1121 1133 1105 1069 1041 1020 1028 1073
60 54 47 44 44 48 54 62 69 75 76 73 68 57 46 41 42 34 30 36 45 49 52 55 58 56 53 47 43 40 36 34 33 32 34 35 35 30 21 12 15 25 45 76 112 138 171 144 95 47 18 11 5 1 3 11 29 35 20 32 112 80 29 5 3 9 16 19 14 15 13 9 5 4 2 0 1 7 15 23 25 26 24 16 5 0 0 0 0 0 0 0 0 1 3 6 6 18 25 47 80 101 84 56 95 219 291 260 173 86 31 14 37 68 97 118 122 113 112 104 91 86 82 69 52 43 40 31 27 20 11 4 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 12 90 310 573 615 430 436 486 539 580 618 671 749 852 966 1066 1130 1150 1135 1101 1059 1034 1043 1092
56 52 46 42 41 46 51 58 65 74 79 79 74 62 47 41 37 31 28 31 46 50 50 53 55 51 45 44 43 41 38 34 31 29 34 34 27 15 4 0 3 16 40 55 62 77 103 66 48 43 40 35 21 2 1 3 13 26 35 50 70 39 8 7 24 44 57 49 19 20 9 4 2 0 0 0 1 3 10 18 23 24 22 11 3 0 0 0 0 0 1 0 1 6 16 22 23 45 57 69 78 85 75 55 81 183 235 190 124 75 55 55 85 119 131 132 123 113 114 119 122 127 121 96 65 41 25 25 17 12 6 2 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 0 0 0 0 0 0 0 0 3 38 224 511 667 528 512 580 654 711 756 800 860 940 1024 1094 1149 1172 1164 1132 1085 1065 1087 1134
47 47 45 42 41 44 47 54 61 70 77 79 76 66 46 38 34 29 24 24 40 46 48 50 50 46 43 46 45 42 38 33 29 28 33 26 15 5 0 0 3 9 15 17 10 2 0 6 15 26 38 44 30 5 1 2 8 29 31 19 6 4 9 35 59 69 61 34 7 3 1 0 0 0 0 0 0 0 3 9 14 15 12 6 2 0 0 0 1 3 5 5 4 11 29 44 52 65 75 73 68 74 66 56 82 152 186 147 118 98 88 95 117 136 132 119 107 105 113 126 136 133 117 92 62 38 26 19 12 9 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 1 3 1 0 0 0 0 0 0 0 0 0 7 127 408 657 614 557 627 734 822 880 921 964 1023 1076 1118 1151 1169 1167 1148 1120 1117 1152 1193
39 41 43 42 41 42 44 50 58 70 76 79 76 67 53 42 37 31 27 30 41 54 51 49 46 43 44 51 47 42 35 30 27 26 23 13 4 1 0 0 2 4 1 0 0 0 0 0 2 6 12 19 13 4 1 1 2 12 8 2 1 8 26 48 55 38 15 1 0 0 0 0 0 0 0 0 0 0 0 3 6 7 6 5 4 1 0 0 5 11 16 16 14 20 43 56 57 58 66 73 84 99 88 71 86 137 176 159 143 122 104 98 108 115 108 95 90 97 115 133 142 134 104 70 43 30 25 19 14 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 0 0 0 0 0 0 0 0 0 0 0 0 46 275 546 618 573 615 753 887 976 1019 1041 1073 1113 1141 1147 1150 1155 1158 1163 1182 1221 1258
35 38 41 42 41 42 43 47 54 59 69 75 76 70 57 42 38 35 31 35 47 56 53 47 43 40 38 35 31 35 27 25 23 17 9 3 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 7 12 14 17 16 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 0 1 2 11 22 29 31 38 63 71 58 56 60 69 78 97 106 86 67 84 137 193 208 184 135 99 87 91 96 93 84 83 92 110 126 121 90 64 33 22 20 21 20 17 14 9 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 6 129 328 479 540 582 700 867 1006 1085 1107 1112 1133 1171 1164 1148 1146 1165 1201 1241 1268 1286
35 37 40 42 43 44 45 49 55 60 68 73 73 69 60 47 38 35 27 28 39 50 51 48 44 38 27 17 15 21 22 21 16 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 11 14 3 3 1 9 12 7 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 9 8 13 27 42 51 50 45 39 35 31 50 55 54 62 80 82 62 56 83 138 191 211 194 138 103 86 86 93 93 86 79 76 79 82 65 29 10 4 6 9 12 14 14 13 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 29 116 244 358 427 530 760 941 1075 1146 1157 1159 1176 1168 1147 1135 1157 1216 1277 1287 1298
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