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 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 7 8 9 9 9 9 9 9 9 8 8 8 7 6 5 5 5 5 5 6 6 6 7 7 7 6 5 5 5 7 8 9 9 7 7 7 8 7 3 2 7 17 28 33 30 21 12 7 5 4 4 5 5 5 6 6 6 6 6 5 4 4 4 4 4 4 4 5 6 7 6 5 4 5 6 6 5 4 4 4 5 5 4 3 4 6 7 6 3 1 1 4 8 9 9 10 11 9 7 7 10 12 11 7 5 5 7 9 8 6 6 10 12 10 9 10 13 14 14 13 12 12 11 9 7 5 5 5 5 5 6 10 12 10 6 3 2 3 3 2 3 8 10 7 0 -3 -1 6 12 14 9 3 1 2 6 8 6 3 2 5 10 15 18 20 21 21 20 19 17 nan
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nan 9 8 7 6 5 5 5 5 4 4 6 8 8 8 8 9 9 10 10 11 13 15 16 13 9 5 3 2 3 6 9 11 11 10 9 9 9 9 10 11 12 13 13 12 12 13 16 17 15 12 9 9 10 12 12 13 13 13 12 11 9 8 8 8 8 7 6 5 5 6 7 7 7 7 6 5 5 5 5 5 5 4 4 6 9 11 12 13 14 16 17 16 14 12 11 9 11 14 16 15 11 7 4 5 8 9 8 5 4 4 5 6 6 5 5 5 7 11 14 17 19 19 16 11 7 7 9 10 10 9 7 7 7 8 9 12 13 11 8 7 6 7 9 13 12 9 7 7 8 9 9 9 8 5 4 7 12 14 12 8 3 1 4 7 9 8 7 7 7 8 8 8 8 8 8 7 7 7 7 6 4 4 4 5 6 7 8 8 8 nan
nan 8 7 5 4 4 4 5 5 5 6 7 8 8 8 9 9 10 11 12 14 16 16 15 11 7 4 3 2 2 5 9 11 11 11 10 10 10 9 9 10 12 14 15 16 16 16 18 18 15 11 8 8 10 13 14 15 14 12 10 9 9 8 8 7 7 5 5 6 7 7 8 9 9 9 8 7 6 6 6 5 4 4 4 5 7 11 12 13 13 15 16 16 14 13 12 12 13 16 16 14 10 5 2 2 4 7 8 7 6 5 4 4 4 3 0 -2 -2 1 7 12 17 20 20 18 16 16 17 15 11 6 3 1 -0 -1 2 9 15 17 14 11 9 7 7 10 11 8 7 7 8 9 10 11 10 9 7 7 9 10 9 5 0 -2 -0 3 5 5 4 5 5 6 6 7 7 7 7 6 6 6 5 4 4 4 5 6 7 8 9 10 10 nan
nan 8 6 5 4 4 5 6 6 7 7 7 8 9 9 9 10 10 11 13 16 17 16 14 10 6 4 4 3 3 5 8 9 10 10 9 8 8 8 8 9 11 13 15 16 17 18 19 19 15 10 7 7 10 13 15 15 14 12 10 9 8 8 7 7 6 6 7 9 9 9 9 9 9 9 9 8 8 8 6 6 5 5 5 5 6 9 12 13 13 14 16 17 17 17 16 14 13 13 12 10 7 4 0 -1 -0 4 7 8 7 6 5 6 7 7 3 -3 -7 -6 -1 5 13 19 23 25 26 25 22 17 10 5 2 0 -2 -4 -3 3 9 13 14 11 8 6 5 7 8 8 8 8 8 9 9 11 12 13 12 11 10 10 9 6 3 0 -0 1 1 2 2 2 3 4 5 6 7 6 6 5 5 5 4 4 4 4 5 6 7 8 9 10 10 nan
nan 8 7 6 5 5 6 7 8 9 9 8 9 9 10 10 10 10 11 13 14 15 14 12 9 6 5 5 4 4 6 7 9 9 9 8 7 7 7 7 9 11 12 14 15 16 18 19 19 15 10 6 6 8 12 14 14 14 12 11 9 8 7 7 7 7 8 10 11 10 9 8 7 7 7 8 8 8 8 6 6 6 8 8 7 7 8 10 13 14 16 17 19 19 18 16 13 11 11 10 9 7 4 1 -2 -1 3 6 8 8 7 7 9 12 13 10 2 -4 -6 -5 -0 6 13 19 22 23 22 18 14 10 9 9 9 7 4 2 3 5 7 8 8 7 7 7 8 8 8 7 7 7 6 8 11 14 17 17 16 13 12 10 9 8 5 1 0 -0 -0 -0 0 1 2 3 5 6 6 5 4 4 4 4 4 4 5 6 6 7 7 8 9 9 nan
nan 9 7 6 6 6 7 8 9 9 9 9 9 9 10 10 10 9 10 11 12 12 11 10 8 6 5 5 5 5 7 8 9 10 10 9 8 7 6 7 8 10 12 14 15 15 16 17 16 15 11 8 6 8 11 14 16 16 14 12 9 6 5 5 7 8 11 12 12 10 8 7 7 7 6 6 7 8 7 5 5 6 10 12 10 7 7 8 11 14 17 19 20 19 15 12 10 9 10 11 10 8 4 1 -1 -0 2 5 7 8 9 9 11 14 15 13 8 3 -1 -2 -0 3 7 12 14 13 11 10 9 9 12 15 17 17 15 12 10 8 7 8 9 9 9 10 11 10 8 6 5 5 5 7 12 16 19 19 18 16 13 13 12 11 8 3 1 0 0 0 0 0 1 2 4 5 5 4 4 5 5 5 6 6 6 6 6 6 7 7 7 8 nan
nan 9 7 7 7 7 8 9 9 9 9 9 9 9 9 10 10 10 10 11 11 10 9 8 7 6 5 4 4 5 7 9 10 10 11 11 10 7 6 5 7 9 11 13 15 15 15 13 12 11 11 10 9 9 11 14 17 18 16 12 9 6 4 4 6 9 12 13 12 9 8 7 7 7 6 6 6 6 5 4 4 7 11 14 13 8 6 6 8 12 16 19 20 19 15 11 9 9 10 11 11 9 6 3 -1 -1 0 3 7 9 11 11 11 12 12 12 11 9 6 5 3 3 5 7 9 8 6 5 4 6 10 14 17 19 19 18 16 14 13 13 13 11 10 9 10 11 9 6 5 4 5 8 12 16 17 17 16 15 14 15 15 13 10 5 3 2 2 2 2 2 2 2 3 3 4 4 5 6 7 7 8 8 7 7 7 6 6 7 7 7 nan
nan 9 8 7 8 8 9 10 10 10 10 10 11 10 10 10 11 11 12 12 11 11 9 7 5 4 4 3 4 5 6 8 9 10 11 12 11 8 5 4 6 8 10 12 13 14 13 10 8 8 9 9 9 9 10 12 15 15 15 13 10 8 6 4 5 8 12 14 12 9 7 7 8 9 8 6 5 5 4 5 5 8 11 13 13 9 6 5 7 10 14 18 20 19 16 14 12 10 10 11 12 13 13 9 3 -1 -0 3 9 12 13 13 11 9 9 9 10 10 10 9 8 6 5 5 6 7 6 4 3 3 6 11 13 14 15 16 16 16 15 13 12 11 10 9 10 10 9 7 6 5 6 7 9 12 13 13 13 13 14 17 18 16 12 8 5 4 4 4 4 4 4 3 3 3 3 4 6 7 8 8 9 9 9 8 8 7 7 7 7 8 nan
nan 8 8 8 9 10 11 11 12 12 12 13 13 13 12 12 12 13 14 12 10 9 8 6 4 3 3 3 4 5 6 7 7 9 10 12 12 9 5 4 4 7 9 11 11 11 10 7 5 6 8 8 8 8 9 10 10 11 12 12 11 9 7 5 5 8 12 13 12 9 6 7 9 10 9 6 5 5 6 6 7 8 10 11 12 10 7 5 6 8 12 16 19 18 16 14 12 11 10 11 13 15 17 13 7 3 3 7 12 15 14 12 10 8 7 6 6 7 9 10 9 8 6 5 6 6 6 4 3 2 3 5 7 7 8 10 12 12 10 8 7 9 12 11 10 9 8 8 8 8 7 6 7 7 8 9 10 11 14 17 19 17 14 10 7 6 6 6 6 6 6 5 4 4 4 4 6 7 8 8 9 9 9 9 9 8 8 8 8 8 nan
nan 7 8 9 10 12 13 13 12 12 12 14 15 14 13 12 12 13 12 10 8 7 7 5 4 3 2 3 4 5 6 7 6 7 9 11 11 10 7 4 4 6 8 11 12 11 9 5 3 3 7 9 10 9 9 9 8 8 9 10 9 8 6 4 4 7 11 12 11 8 5 6 9 10 9 6 6 8 8 7 6 7 8 10 11 10 8 5 5 6 9 12 15 15 13 12 11 10 9 9 10 12 13 11 9 7 8 10 12 13 12 11 9 8 8 7 5 5 6 7 9 8 8 8 8 8 8 7 6 4 3 3 2 2 3 4 6 6 5 3 5 9 12 11 9 7 7 9 10 9 7 6 5 5 5 6 6 8 11 15 17 17 15 12 9 7 7 7 8 7 7 6 5 5 4 4 5 6 7 8 8 8 9 9 9 10 10 9 9 8 nan
nan 8 8 9 11 12 12 12 12 12 13 15 15 14 13 12 11 9 8 7 6 6 6 6 4 3 2 2 4 5 6 6 7 8 9 11 11 10 9 7 5 5 7 10 13 13 10 6 1 0 4 9 12 11 9 8 7 7 8 8 6 4 3 3 6 9 10 10 9 7 6 6 9 10 8 6 7 9 8 7 5 5 6 9 11 11 9 6 4 4 6 9 11 10 9 9 9 9 8 7 7 8 10 10 10 9 8 8 9 10 9 8 8 8 10 11 10 7 6 6 7 8 9 10 10 10 11 12 10 8 6 5 4 3 2 2 2 2 3 3 5 9 10 8 5 4 5 9 11 10 8 6 5 5 4 4 5 7 10 14 16 16 15 12 9 8 7 8 8 8 8 8 7 6 5 4 4 5 6 7 8 8 9 9 10 11 11 11 10 9 nan
nan 7 7 8 9 10 10 11 11 12 14 15 15 14 12 11 9 7 5 4 5 6 7 6 5 2 1 1 3 4 5 7 8 10 11 11 11 11 11 11 8 6 7 10 14 16 14 7 1 -1 2 9 13 13 10 7 8 9 8 6 4 1 0 3 8 10 10 10 9 8 7 6 9 10 7 6 8 9 8 5 3 3 5 7 10 11 10 8 6 5 6 7 8 7 6 6 8 9 9 7 7 9 11 11 10 7 5 5 5 6 7 7 7 9 13 18 18 14 10 8 8 9 11 12 12 12 12 13 12 10 9 9 8 7 6 6 5 5 4 5 8 11 12 9 6 4 6 9 11 11 10 8 6 5 4 4 6 10 13 15 15 14 13 11 9 8 7 8 8 8 9 9 9 7 5 4 4 5 6 7 7 8 9 10 11 11 12 12 11 11 nan
nan 5 4 5 6 8 9 10 11 12 13 15 15 14 11 9 8 7 6 6 7 7 7 6 4 3 2 2 4 5 7 8 10 12 12 12 10 11 13 13 11 8 8 11 16 19 19 13 7 5 6 10 13 12 11 10 11 11 9 6 3 1 1 5 9 10 10 10 9 7 5 5 8 10 9 9 10 11 9 4 1 1 4 7 9 12 12 12 10 8 8 8 7 6 5 6 7 9 10 10 10 12 13 13 11 9 7 5 4 4 5 6 7 10 14 20 23 20 15 12 11 12 13 13 13 12 13 13 13 13 12 11 10 10 10 10 10 8 6 7 10 14 16 14 10 8 7 8 9 10 10 9 8 7 6 5 8 10 11 12 12 11 10 9 8 8 8 8 8 9 9 10 9 7 5 4 4 4 6 7 7 8 8 10 11 12 12 13 12 12 nan
nan 3 0 2 4 6 8 10 10 10 12 15 16 13 8 5 6 9 10 9 8 6 6 5 5 4 5 6 7 7 8 10 12 14 13 12 10 11 13 13 13 11 10 13 17 21 23 21 16 13 12 13 13 12 11 12 13 12 10 8 6 6 6 7 9 10 10 9 7 5 4 5 9 11 10 11 12 12 12 8 4 4 6 8 10 12 13 13 13 11 11 10 8 6 5 6 8 11 13 14 14 13 13 12 11 10 10 8 7 6 6 7 8 9 11 15 18 19 17 15 14 14 14 13 11 11 12 13 14 14 12 11 9 9 10 10 9 8 6 7 11 15 17 16 13 9 8 6 5 5 7 8 8 8 8 8 9 9 8 9 10 10 9 8 8 8 8 9 9 9 10 10 9 7 5 4 4 5 6 7 7 8 8 10 11 12 12 12 12 12 nan
nan 3 0 1 5 7 9 10 10 10 12 15 16 11 6 4 6 11 13 11 6 4 4 5 6 8 10 10 9 9 10 11 12 13 12 12 12 12 12 12 12 11 11 12 16 20 22 22 19 16 15 15 15 14 12 12 12 12 11 11 10 10 10 10 9 9 9 8 7 7 8 10 10 11 11 11 12 12 13 13 12 12 13 12 12 11 11 12 12 12 12 11 9 7 6 6 7 11 15 17 16 15 14 12 10 8 8 8 8 8 8 8 7 6 7 8 9 11 12 14 15 16 15 13 10 8 8 10 11 11 10 9 8 7 7 7 7 7 8 10 11 13 15 15 14 11 8 5 3 2 3 5 6 7 9 11 11 11 11 12 13 12 11 9 9 9 9 9 10 10 10 10 9 8 6 5 5 5 5 6 7 8 9 10 11 11 11 11 11 11 nan
nan 5 5 6 9 10 11 10 10 11 12 14 12 8 4 4 6 11 14 11 6 4 4 6 9 12 12 11 9 9 10 11 12 12 12 12 13 13 11 9 9 9 9 10 14 17 19 18 16 14 13 14 15 15 13 12 12 12 12 11 11 10 10 10 10 9 9 8 8 10 12 13 12 11 10 10 10 11 12 15 19 21 19 16 13 11 10 9 10 10 10 10 8 6 6 6 6 8 12 16 17 16 15 12 8 5 4 4 6 7 8 7 6 4 3 3 2 3 6 11 14 16 16 13 10 7 6 7 9 9 9 8 8 7 7 7 8 10 13 14 13 12 11 12 13 11 8 5 4 3 3 4 5 6 9 12 12 13 13 13 13 14 14 12 12 11 11 11 11 11 11 11 11 9 7 6 5 4 4 5 7 8 9 10 10 10 11 11 11 11 nan
nan 8 10 11 13 13 12 11 10 10 10 10 8 5 3 3 5 8 10 10 7 5 5 7 11 13 13 11 10 10 10 11 11 11 10 11 12 11 9 7 6 6 7 8 11 13 15 14 12 11 10 11 13 14 14 13 13 13 12 11 10 10 11 11 11 10 9 8 8 9 11 13 12 11 9 8 8 8 10 15 21 24 22 17 13 10 9 8 9 9 9 8 6 5 5 5 6 5 7 11 13 15 14 11 7 4 2 1 2 3 4 4 4 3 2 2 2 1 2 6 11 15 15 14 10 7 7 7 8 9 8 8 8 9 9 9 10 12 14 15 13 10 8 8 9 9 8 7 7 6 5 3 3 5 8 10 11 10 9 9 10 12 14 14 13 13 12 11 11 11 12 12 13 12 10 7 5 4 3 4 6 8 10 10 10 10 11 11 10 10 nan
nan 11 12 13 14 13 12 11 10 10 10 9 7 4 3 3 4 5 6 7 7 5 5 7 9 11 12 13 13 12 12 12 11 11 10 9 8 7 6 5 5 5 6 7 8 10 12 12 11 9 9 9 10 11 12 13 13 13 13 12 11 11 12 12 12 11 10 7 5 4 6 10 11 10 9 8 7 7 9 13 18 22 20 15 12 10 9 9 9 9 8 7 6 5 6 7 6 5 4 7 9 11 11 8 5 3 2 1 1 0 0 1 2 3 3 4 4 4 3 4 8 11 13 12 9 7 7 8 9 9 8 7 8 9 9 9 9 10 11 11 10 8 6 5 6 7 8 9 10 9 6 2 1 3 5 6 7 6 4 4 5 8 10 11 11 11 11 11 11 11 12 13 15 14 13 10 7 4 3 4 7 8 9 10 10 10 10 10 10 10 nan
nan 13 13 12 12 11 10 10 10 11 12 10 8 6 4 4 3 3 4 5 5 5 4 5 7 9 10 11 12 12 12 12 12 11 9 8 7 6 5 5 5 5 6 6 7 8 10 10 10 8 7 7 7 9 11 12 12 13 12 12 11 11 11 12 13 13 11 9 5 3 3 7 10 11 10 8 7 7 9 12 16 18 17 14 12 11 10 10 10 9 8 8 7 8 9 9 9 7 7 9 10 10 9 6 4 3 3 3 3 2 2 2 2 3 4 5 7 8 8 8 9 10 10 10 8 6 7 8 9 9 8 7 7 7 7 6 5 5 5 5 5 4 3 3 5 7 9 11 11 9 5 1 -0 1 2 3 2 0 -1 0 2 4 6 7 8 8 8 8 9 10 11 13 14 15 14 13 10 8 6 6 7 8 9 10 10 10 10 10 10 10 nan
nan 13 13 12 11 11 11 11 11 12 12 11 10 8 5 3 2 2 3 4 4 5 5 5 6 7 8 8 9 10 11 12 12 11 10 9 8 7 6 6 6 6 7 7 7 8 9 9 8 7 6 5 6 9 11 12 12 12 11 11 10 9 9 10 12 13 14 13 10 6 5 7 10 11 11 10 8 8 8 11 13 15 15 13 12 11 11 10 10 10 10 10 11 12 13 12 12 12 13 14 14 11 9 6 4 4 4 5 6 6 4 3 4 5 7 8 9 11 12 13 13 12 10 9 8 6 7 8 9 9 8 7 6 6 5 4 2 1 0 1 2 2 2 3 6 9 11 12 11 8 3 -0 -1 -0 -0 -1 -2 -4 -5 -3 0 2 4 6 6 6 6 6 6 7 9 10 12 13 13 12 12 10 9 9 10 10 10 10 10 10 10 10 10 10 nan
nan 12 10 10 11 11 11 12 12 12 11 11 11 9 6 3 1 0 1 3 4 5 5 6 6 7 7 8 9 9 10 11 12 12 12 10 9 9 9 8 8 8 7 7 8 9 9 8 7 6 6 7 9 11 13 13 12 10 9 8 8 7 7 8 10 12 14 15 14 11 8 8 9 11 11 10 8 7 7 8 10 11 13 13 12 11 11 11 10 11 12 14 14 14 13 12 12 15 17 16 14 12 10 9 8 7 7 8 9 9 8 8 9 10 11 11 10 10 11 14 16 16 13 10 8 7 7 8 9 9 8 7 7 6 6 4 2 0 0 1 2 2 3 4 7 10 13 14 12 7 3 1 -1 -2 -3 -5 -6 -7 -6 -3 -0 2 3 4 4 4 4 4 4 5 6 8 8 9 9 9 10 11 12 12 12 12 12 11 11 10 10 10 10 10 nan
nan 10 9 8 9 11 12 13 14 12 11 10 10 10 8 4 1 0 1 2 4 5 6 7 8 7 7 8 9 9 10 10 12 13 13 12 11 11 11 11 10 9 8 8 9 10 9 8 7 7 8 10 11 13 15 15 13 11 8 7 6 6 6 6 7 9 12 14 15 14 11 9 9 9 9 9 7 6 6 6 7 8 10 12 13 12 11 11 11 13 15 16 15 12 9 7 9 13 14 13 11 10 9 10 10 10 10 10 11 11 12 14 15 15 13 12 11 11 13 15 17 18 15 10 8 7 7 8 8 8 8 8 8 8 7 6 5 3 2 2 3 4 5 7 9 11 12 11 10 7 6 5 2 -1 -4 -6 -7 -7 -5 -2 -1 0 1 2 2 3 3 4 4 5 6 6 6 6 6 7 9 11 13 14 14 14 13 12 12 11 11 11 11 11 nan
nan 11 9 9 9 10 13 15 16 15 12 10 10 10 9 6 4 3 3 4 5 6 7 8 9 8 7 7 8 9 9 10 11 12 14 15 13 13 13 12 12 10 9 9 10 11 11 11 10 11 11 11 12 13 14 15 14 11 8 6 5 5 6 6 6 7 9 12 14 15 12 10 9 8 7 7 6 6 6 7 8 8 9 11 13 13 12 12 13 15 17 15 11 7 4 3 7 10 11 10 9 7 7 7 9 11 11 11 12 13 15 17 18 16 13 13 13 14 15 17 18 17 14 10 8 7 7 7 8 8 9 9 9 9 8 7 6 5 4 3 3 4 7 10 11 11 9 6 5 6 9 10 9 6 2 -2 -4 -3 -2 -1 -0 0 1 2 3 4 5 5 5 6 6 6 5 6 6 8 10 11 12 13 13 13 13 13 12 13 13 13 13 12 nan
nan 12 11 9 9 9 11 14 16 17 15 12 11 10 9 8 6 6 6 7 7 7 8 9 10 9 7 6 7 8 9 9 10 12 15 17 16 14 13 12 11 10 9 9 10 11 13 13 13 13 12 12 12 12 13 13 12 9 6 5 5 4 5 6 7 8 9 11 13 14 12 10 8 7 6 5 5 6 7 8 10 11 11 12 13 14 13 13 15 17 16 12 7 3 2 5 9 11 11 10 8 6 4 5 7 10 11 11 11 13 14 16 16 14 13 14 15 15 16 15 14 13 11 10 9 9 8 8 8 9 10 10 9 9 8 8 6 5 3 1 1 4 7 11 13 11 7 4 4 6 10 14 16 15 12 7 3 2 2 3 3 3 4 5 6 6 7 6 6 6 5 5 5 6 7 9 10 11 11 12 12 13 13 13 13 14 15 15 14 13 nan
nan 11 11 10 9 8 8 10 12 14 14 13 12 11 10 9 8 7 8 8 8 8 8 9 10 10 8 7 7 7 8 8 9 11 14 17 17 16 14 13 11 10 10 10 10 11 13 14 14 14 13 12 12 12 12 11 10 7 5 5 4 4 5 6 7 8 9 11 12 12 11 9 7 6 5 5 5 6 8 10 11 12 13 13 13 13 13 14 15 15 13 8 4 3 6 9 12 13 12 10 9 7 5 4 6 8 10 10 11 11 11 11 11 12 14 16 16 15 13 11 10 10 10 11 10 10 10 10 10 11 11 11 10 9 8 7 6 4 2 0 0 3 7 11 12 10 5 3 5 8 11 14 17 18 17 12 9 7 7 7 8 8 8 8 8 8 7 7 6 6 5 5 6 7 8 9 10 11 11 11 12 12 13 14 14 14 14 14 13 11 nan
nan 10 10 10 8 6 5 5 6 8 9 10 10 9 9 8 8 8 8 9 8 8 8 9 10 10 9 8 7 7 7 8 9 10 11 13 15 16 16 15 14 13 14 13 12 12 14 15 15 13 12 11 12 13 13 12 11 9 7 6 6 6 6 6 7 7 8 9 10 10 8 7 6 6 6 6 6 7 9 10 10 11 11 11 11 11 11 13 13 13 10 7 4 5 9 11 12 13 12 12 10 9 6 5 6 8 10 10 10 10 10 9 9 11 13 15 15 13 11 8 8 9 11 11 11 11 10 10 11 11 11 11 10 9 8 7 6 4 3 2 1 3 6 9 9 6 2 0 2 6 9 12 14 14 13 11 9 9 10 10 10 10 10 10 9 8 8 7 6 6 6 6 8 9 10 10 10 11 12 13 13 13 13 13 12 11 10 10 9 7 nan
nan 9 9 8 7 6 5 5 5 4 5 6 6 6 6 7 7 8 9 9 9 9 8 8 9 10 9 8 7 6 6 7 8 8 8 9 12 14 16 17 17 18 18 18 16 16 17 17 15 12 9 9 10 12 13 14 13 12 10 8 7 8 8 7 6 5 5 6 7 6 5 5 6 6 7 7 8 8 9 9 9 9 9 8 8 9 10 11 12 12 10 9 7 8 9 11 13 13 14 13 12 10 9 7 8 9 10 10 9 9 10 10 10 10 11 13 13 12 10 8 8 10 11 12 12 11 11 11 11 12 12 11 10 9 8 7 6 5 4 4 3 4 6 7 6 4 0 -1 -1 0 3 7 8 7 6 5 6 7 8 9 9 9 8 8 8 9 9 8 7 6 7 8 10 12 12 11 11 12 13 14 13 13 12 11 10 8 8 8 7 6 nan
nan 8 7 6 6 6 7 7 7 5 4 4 4 4 4 5 7 9 10 11 11 10 9 8 8 9 9 8 7 6 5 6 6 7 7 9 11 13 14 15 17 18 20 18 16 16 18 17 15 11 6 5 7 9 12 14 14 14 13 10 9 10 10 9 6 3 3 4 5 5 3 3 4 6 7 7 7 8 8 8 8 7 6 6 6 8 9 10 12 13 13 12 10 9 8 10 13 14 14 13 12 11 10 11 11 11 10 9 9 9 9 11 12 12 12 12 12 12 11 9 9 9 10 11 12 13 12 12 12 12 13 13 12 10 9 7 6 6 5 5 5 5 5 6 5 4 4 3 1 0 -0 1 2 1 -0 1 2 4 5 6 6 6 7 7 9 10 11 10 8 8 8 10 12 13 12 11 11 12 13 13 13 12 11 9 8 8 8 9 8 7 nan
nan 8 7 6 6 7 9 10 9 7 5 5 5 5 5 6 8 10 12 14 14 12 11 9 9 10 10 9 8 7 5 5 6 7 9 11 12 12 11 11 12 14 16 15 13 13 15 15 14 11 6 3 4 7 11 13 14 14 13 12 11 12 11 10 8 5 3 3 5 5 3 2 3 4 5 6 6 7 8 9 8 7 5 4 4 5 7 9 12 15 16 15 12 9 8 9 12 13 14 13 11 10 10 12 13 12 10 9 8 8 9 10 11 12 12 12 12 12 11 10 9 8 8 9 11 13 13 13 12 13 14 15 15 13 11 9 8 7 7 6 5 5 5 6 6 6 6 6 5 4 2 1 -0 -1 -2 -0 1 3 5 7 8 8 9 10 11 12 12 11 10 9 9 11 12 12 11 10 10 11 13 13 12 11 9 8 8 8 9 8 7 6 nan
nan 8 8 7 7 8 10 12 11 9 8 7 7 7 7 8 9 12 15 17 17 15 12 10 10 11 11 11 10 9 7 6 6 8 10 12 13 12 9 8 8 9 10 10 10 10 11 12 12 10 7 4 4 8 11 13 14 13 12 11 12 12 12 11 9 7 4 5 7 7 6 3 3 3 5 6 7 8 9 9 9 8 5 3 2 2 4 7 11 14 16 15 13 10 8 9 11 13 13 11 9 8 10 12 13 12 11 9 8 7 8 9 10 11 11 12 12 12 11 10 9 8 7 8 9 11 12 12 12 13 14 15 16 15 14 12 10 10 8 7 5 4 5 5 6 5 5 5 5 5 5 3 1 -0 -0 1 3 6 10 13 14 14 14 14 14 14 13 12 10 10 10 11 11 11 11 11 11 12 13 13 12 10 9 8 9 9 8 7 7 6 nan
nan 8 7 7 8 10 11 12 13 11 10 9 8 8 9 10 11 12 15 18 18 16 13 11 11 12 13 14 13 12 10 9 8 9 11 12 13 12 9 8 7 7 8 9 9 9 9 9 9 9 8 7 7 9 12 13 13 11 9 10 11 12 13 12 11 9 7 7 9 9 8 7 6 6 7 7 7 8 8 8 8 7 5 4 2 1 2 4 8 11 14 14 13 11 9 9 11 12 12 10 8 7 9 11 12 12 11 9 7 6 7 8 9 9 10 10 11 11 11 10 9 9 8 8 8 8 9 9 10 11 11 12 13 14 14 13 13 12 11 9 7 5 5 5 5 5 4 4 4 5 4 3 1 0 1 2 6 10 15 18 20 19 18 17 16 15 14 12 11 10 10 11 11 11 11 11 11 12 13 13 12 11 10 9 9 9 8 7 7 7 nan
nan 6 6 6 7 9 11 12 13 13 11 9 7 8 9 11 11 12 14 17 16 15 12 11 11 13 14 14 14 13 12 11 10 10 11 12 12 12 11 9 9 9 9 9 10 10 10 10 9 8 8 9 10 11 12 12 12 10 9 9 10 12 14 14 13 12 11 9 9 9 9 9 9 9 9 8 7 6 6 7 7 7 6 5 4 4 3 4 6 8 10 12 12 11 10 10 10 12 12 10 9 8 10 11 11 11 11 10 8 6 6 6 7 7 8 10 11 11 11 10 10 10 10 9 8 7 7 7 8 8 9 9 10 10 11 11 11 12 12 12 11 10 8 7 6 5 4 4 4 4 3 2 2 1 3 6 10 15 18 20 20 20 18 16 15 13 12 11 10 9 9 10 10 10 9 10 11 12 13 13 13 12 11 10 10 9 8 8 7 7 nan
nan 6 6 5 6 7 9 11 12 11 10 8 8 9 10 11 11 12 13 15 15 13 11 10 10 11 11 11 11 12 12 12 11 11 11 12 12 12 11 10 10 10 10 10 10 11 11 11 10 9 10 12 13 12 11 11 11 11 10 10 11 12 14 16 16 15 13 11 8 8 8 9 11 11 10 8 7 6 5 6 7 8 8 7 7 6 6 5 5 6 7 8 10 10 10 9 9 10 10 10 10 10 11 11 11 11 11 10 9 7 6 5 5 6 7 9 11 11 11 11 11 10 9 8 7 7 7 7 7 8 8 9 9 9 9 9 10 10 11 13 14 15 14 12 9 7 6 5 4 3 3 2 2 4 7 11 15 18 20 19 17 16 15 13 12 11 11 10 9 8 8 9 9 9 8 9 10 11 12 13 13 13 11 10 10 9 8 7 7 7 nan
nan 9 7 6 5 5 7 8 9 9 8 8 9 10 10 10 10 10 11 13 14 12 10 8 8 8 7 7 8 9 9 9 9 9 10 12 13 12 11 9 8 8 9 10 11 11 11 11 11 11 13 14 14 13 12 11 11 11 11 10 10 11 12 14 15 16 14 11 8 7 8 10 12 12 11 9 9 8 9 10 11 11 11 11 11 10 8 7 6 5 5 6 7 9 9 9 8 7 7 8 10 11 11 10 10 11 11 11 10 9 7 6 5 5 7 9 9 9 10 10 9 8 6 5 7 9 10 11 11 11 11 10 9 9 9 9 9 9 10 11 14 16 16 15 13 11 9 8 7 5 4 3 4 7 10 13 15 17 17 16 14 12 11 10 10 9 9 8 7 7 8 9 9 8 7 8 10 11 12 14 14 14 12 11 10 9 8 7 7 7 nan
nan 13 11 8 6 6 6 7 8 8 8 9 10 10 10 9 8 9 10 12 12 11 8 6 5 5 6 6 6 7 6 6 6 8 10 12 14 15 13 10 7 6 7 9 10 12 12 12 12 13 14 15 15 14 12 10 9 9 10 9 8 7 7 9 11 13 13 10 8 7 8 11 13 14 13 12 12 13 14 15 16 15 14 14 15 14 12 10 7 6 5 5 6 8 9 9 9 8 7 8 10 11 11 10 9 9 9 10 10 9 8 7 7 6 7 7 7 7 7 8 8 6 5 5 10 14 17 18 18 17 16 13 11 10 10 9 9 8 8 8 10 13 15 15 15 14 14 13 10 8 6 6 8 10 12 13 14 14 13 13 10 8 7 6 7 7 7 6 7 8 8 9 8 7 8 9 11 12 14 16 16 14 13 11 10 8 7 7 7 8 nan
nan 14 13 12 10 8 7 7 8 9 10 11 11 11 10 9 8 8 10 11 10 8 6 4 3 4 6 7 7 7 7 6 7 7 9 12 15 16 14 11 8 6 6 7 9 11 12 14 15 15 16 15 14 13 12 9 8 8 8 7 5 4 4 6 8 11 12 10 9 8 10 13 16 17 16 15 15 16 17 18 18 17 17 18 18 18 16 14 11 8 7 7 7 8 8 9 9 9 9 10 11 12 11 10 9 8 9 9 8 8 8 8 8 7 7 7 6 5 4 4 5 5 6 9 14 18 22 23 23 22 21 18 15 13 12 11 10 8 6 6 7 9 11 13 14 15 16 14 11 9 7 7 9 11 12 14 15 14 12 10 8 6 4 3 4 4 5 6 8 9 9 9 8 9 10 12 14 16 17 18 16 14 12 10 9 8 7 7 7 8 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
83 88 90 89 88 87 85 84 85 86 87 88 87 89 91 88 84 80 77 76 77 84 94 90 76 67 62 61 64 74 88 106 121 132 142 146 143 136 128 123 114 103 91 87 90 100 114 119 109 92 75 60 44 32 29 36 54 79 81 70 63 70 97 169 279 310 176 75 45 44 55 64 64 53 36 19 8 2 1 3 3 1 0 0 0 2 8 17 24 26 27 35 48 63 71 74 78 83 88 94 103 99 74 47 19 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 0 0 0 0 0 0 0 0 0 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 1 2 6
85 88 89 88 87 88 89 89 89 88 87 87 89 93 96 99 96 91 87 86 88 94 103 103 90 75 67 62 64 72 81 93 109 121 130 134 135 135 134 133 130 126 111 103 103 110 120 124 114 93 76 67 59 47 34 30 45 78 100 96 68 57 70 137 252 301 194 88 57 55 61 66 62 51 32 13 5 10 13 20 19 14 7 4 3 4 8 19 30 34 38 45 58 75 87 86 76 67 63 77 96 98 79 61 34 9 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 8 12 16 18 24 59
88 88 88 88 89 91 94 93 95 92 89 89 93 98 101 100 102 103 100 100 103 107 110 108 100 87 76 68 67 71 78 88 107 126 133 134 134 135 137 138 139 137 129 119 118 119 125 127 119 100 80 69 62 52 39 28 30 51 83 101 77 56 67 121 238 306 246 144 91 81 77 70 57 40 23 15 21 40 48 65 65 62 41 21 14 12 15 20 31 36 45 58 73 87 94 84 58 36 29 53 84 91 79 67 43 12 2 0 0 1 1 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 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 15 35 52 67 77 96 168
91 88 87 87 88 92 95 98 100 95 93 94 101 106 107 107 107 107 105 105 107 112 113 109 100 91 81 72 71 73 76 88 109 131 141 142 143 145 152 158 158 153 144 136 138 138 140 137 127 109 89 75 66 57 46 34 27 34 58 84 74 51 61 118 247 337 316 227 160 134 113 84 55 28 17 28 49 68 84 107 111 107 73 48 36 28 24 23 34 40 55 73 87 97 97 80 49 22 13 35 77 88 82 68 40 10 1 0 0 5 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 0 0 0 0 0 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 5 30 75 108 139 172 217 305
90 89 87 87 86 89 95 100 102 100 97 98 110 119 122 120 116 109 104 103 107 112 112 103 92 83 77 79 81 78 81 94 112 130 141 145 145 150 164 180 183 176 162 153 157 155 148 144 134 120 102 85 71 62 55 43 33 34 51 67 66 50 55 123 279 394 400 327 242 180 130 87 47 17 4 7 24 45 70 98 106 109 91 70 56 46 37 35 45 52 60 71 83 94 95 77 46 20 14 30 78 83 76 56 27 6 1 0 0 4 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 0 0 0 0 0 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 14 61 137 195 236 287 357 445
88 88 88 88 86 88 92 97 98 97 97 100 109 121 127 126 120 113 106 105 112 118 111 99 85 76 77 83 88 87 89 102 120 134 141 141 140 145 161 183 194 188 176 169 169 163 153 146 137 127 119 104 86 71 61 50 37 36 49 65 69 57 66 142 284 385 370 289 199 131 85 51 23 0 0 0 3 10 25 52 78 95 100 79 73 71 64 61 71 83 83 72 72 87 92 76 48 28 26 41 82 72 49 27 10 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 17 93 222 311 365 410 470 547
86 87 89 91 90 90 90 92 91 89 88 90 96 103 110 114 113 109 104 104 110 115 111 102 87 73 73 81 89 93 99 110 129 143 145 142 139 142 155 175 193 193 189 185 180 171 160 150 139 129 121 112 99 86 72 55 40 38 55 76 78 68 81 130 182 187 136 90 61 40 25 13 4 0 0 0 0 0 2 23 60 90 115 96 108 111 109 109 115 116 98 70 71 97 100 80 56 43 43 53 75 44 18 6 1 0 0 1 2 2 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 0 0 0 0 0 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 23 134 269 362 426 483 542 611
85 87 91 94 94 91 88 86 85 82 80 78 78 79 80 81 86 92 96 100 108 113 110 101 87 72 70 76 85 94 103 114 129 141 145 145 143 144 150 157 168 181 188 191 190 178 164 152 142 133 125 120 115 104 86 63 45 41 54 90 94 77 85 94 73 31 8 6 5 4 3 2 0 0 0 0 0 0 1 17 52 98 145 155 151 163 170 176 167 134 88 67 95 136 125 91 66 56 54 49 38 16 3 0 0 0 0 0 1 2 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 34 170 292 391 464 528 587 648
86 89 94 98 96 92 88 83 78 74 73 71 71 71 73 73 76 82 92 102 111 114 109 97 83 73 68 72 80 90 100 110 119 127 133 139 140 139 140 140 146 162 180 185 191 181 166 155 147 139 132 130 128 118 99 76 57 48 59 93 96 75 82 76 43 10 0 0 1 1 0 0 0 0 0 0 0 1 13 46 92 127 169 219 223 265 275 258 215 148 93 91 131 171 145 99 76 65 62 45 19 5 1 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10 60 203 344 465 535 586 636 693
90 94 97 99 97 93 89 84 79 75 74 73 73 76 81 81 79 82 93 104 114 116 109 98 86 78 72 72 75 82 90 99 105 108 112 119 125 126 130 133 139 154 169 174 182 187 178 163 152 143 138 137 142 139 118 91 71 60 73 106 106 72 84 79 41 11 1 0 1 1 0 0 0 1 1 8 22 46 98 185 257 307 353 378 391 434 429 375 318 226 136 118 158 186 142 92 81 71 62 34 10 2 0 0 0 0 0 1 1 2 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 18 94 258 432 537 593 634 678 733
96 98 100 100 98 95 93 90 86 82 80 79 79 81 88 87 88 94 103 112 117 118 111 100 90 82 77 76 76 78 82 88 92 95 97 100 106 113 124 129 131 138 148 155 160 173 180 165 152 141 134 136 146 153 144 113 84 71 89 122 125 81 88 94 48 15 3 1 1 1 0 0 0 8 30 67 112 164 232 325 411 496 589 630 657 667 623 543 501 377 190 137 179 196 143 95 91 80 69 43 22 10 4 1 0 1 1 1 1 2 4 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 0 0 0 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 26 126 315 481 565 621 665 699 745
102 102 102 101 100 100 98 96 93 90 89 88 86 82 83 91 97 108 119 127 128 125 117 105 95 87 82 79 78 78 79 82 85 88 91 93 96 103 112 114 117 119 121 126 136 149 160 155 145 135 130 134 146 157 156 133 98 83 109 140 127 85 85 113 68 24 6 2 2 1 0 0 0 20 91 121 132 147 176 217 284 409 570 711 827 873 832 743 659 484 199 150 203 216 170 123 108 96 82 63 47 33 17 5 2 5 7 8 8 6 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 32 145 337 507 585 640 687 727 767
106 105 104 102 101 103 103 102 99 100 97 96 94 92 95 101 106 116 132 143 145 138 128 118 106 98 91 85 81 81 81 83 84 87 90 92 93 95 96 95 102 105 101 102 109 122 136 141 137 128 123 130 144 157 159 144 115 106 137 156 116 75 82 117 98 46 16 5 1 0 0 0 1 7 27 38 48 50 50 59 95 196 356 593 822 954 974 916 794 567 249 204 245 252 212 165 134 115 105 90 71 56 37 18 9 11 17 20 18 14 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 27 134 333 536 625 663 706 754 785
105 103 101 100 102 105 107 106 104 103 100 100 98 97 98 103 111 120 134 146 152 149 139 128 117 109 99 90 86 86 87 88 89 91 94 94 93 90 90 92 97 96 89 84 81 88 106 123 128 122 116 122 136 151 157 146 125 125 152 152 108 70 77 105 107 76 36 13 3 0 0 0 0 0 1 10 16 21 29 36 51 103 209 442 723 915 993 959 803 545 303 272 301 297 257 208 166 138 128 121 94 73 54 34 22 20 23 26 24 17 14 12 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 21 117 313 532 638 673 720 778 794
101 100 99 99 105 109 109 109 108 107 105 103 99 95 98 102 107 116 126 136 144 146 140 133 126 119 112 103 95 93 92 92 93 97 101 100 97 95 98 105 104 93 83 71 64 67 82 103 117 119 114 115 127 143 151 141 131 140 153 134 103 77 76 85 87 75 50 24 7 1 0 0 0 0 1 4 12 18 25 29 40 85 184 374 620 842 954 922 761 545 390 364 359 339 299 247 195 156 139 135 121 92 68 50 37 30 28 26 24 21 21 21 18 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 20 117 307 518 641 679 731 785 789
98 99 101 104 108 111 111 112 113 114 113 108 102 96 90 87 93 104 115 123 129 133 134 133 131 128 122 113 104 98 96 96 100 107 111 111 107 103 102 105 97 83 73 65 60 60 67 88 107 118 121 123 128 140 147 141 139 150 157 133 109 87 70 63 59 54 43 27 9 0 0 0 0 0 1 3 7 11 15 12 18 92 232 393 576 789 934 926 813 674 566 495 434 386 338 276 220 172 149 147 142 115 83 63 50 40 35 31 28 27 32 30 27 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 18 143 321 497 629 681 728 775 804
100 102 105 109 110 112 114 118 124 129 128 122 113 104 94 87 88 94 103 112 119 122 122 121 122 123 120 113 106 100 99 104 110 115 120 122 118 109 98 89 75 64 60 58 55 55 59 77 96 115 128 134 137 144 152 152 148 146 148 138 111 83 59 45 37 32 25 15 5 0 0 0 0 1 5 7 6 4 5 2 1 79 224 391 576 777 940 971 888 789 710 622 518 430 361 298 238 182 149 145 147 132 101 74 56 44 37 32 33 36 37 36 26 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 166 330 467 591 662 707 751 796
106 109 109 109 110 112 117 125 135 143 140 135 129 122 112 99 89 87 89 94 101 106 107 104 102 105 104 101 97 96 99 105 110 118 125 128 121 106 87 65 57 56 57 57 55 51 53 70 89 116 134 143 151 160 168 171 150 133 136 135 113 79 50 33 23 17 10 4 1 0 0 0 0 1 10 11 5 1 0 0 0 30 163 364 565 751 920 1014 958 869 800 693 549 410 321 300 245 179 133 123 134 137 115 83 60 46 36 33 37 44 45 38 20 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 151 302 427 540 621 676 724 763
110 111 111 108 108 110 116 125 134 139 141 138 134 130 124 110 95 86 81 81 82 85 88 88 88 91 91 90 88 89 91 94 98 105 114 117 110 95 76 60 58 59 59 61 60 59 61 73 93 125 145 155 163 172 180 174 136 114 120 129 112 77 44 25 15 8 3 1 0 0 0 0 0 1 7 3 1 0 0 0 3 47 217 422 576 707 862 1000 1000 929 853 714 541 380 294 292 250 172 128 132 150 150 127 93 66 47 37 34 36 40 41 33 16 4 1 1 2 2 1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 102 238 368 476 559 621 665 696
110 111 111 108 105 107 112 119 128 134 134 129 124 119 113 102 91 83 77 74 75 76 78 80 82 84 86 86 87 86 83 81 82 83 89 92 89 82 73 66 63 64 63 63 63 62 69 82 102 132 156 166 170 175 178 159 117 100 103 121 101 65 37 21 11 4 0 0 0 0 0 0 0 0 0 0 0 0 0 1 14 78 271 514 635 692 812 954 992 950 870 726 574 431 344 308 259 177 120 129 156 162 142 105 69 47 36 27 24 26 28 24 13 5 2 2 4 4 1 0 2 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 36 142 272 383 463 531 592 633
110 110 110 110 110 111 117 123 125 124 119 111 103 95 88 82 79 76 72 71 71 72 74 76 79 81 83 85 91 83 76 74 74 74 74 75 76 76 75 73 69 67 65 62 65 68 78 92 111 134 157 174 177 179 177 151 118 101 96 98 65 42 26 16 9 3 0 0 0 0 0 0 0 0 0 0 0 0 2 6 36 137 346 583 648 645 761 895 950 929 861 743 623 495 388 325 276 207 130 95 120 145 132 99 67 45 31 18 15 17 22 21 13 6 3 3 4 4 1 1 2 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 60 167 274 341 377 424 494
110 109 109 115 121 125 129 132 126 114 101 89 81 75 74 74 70 67 65 65 66 69 72 72 74 77 80 85 89 78 71 70 69 70 72 74 77 80 81 79 75 70 65 63 70 81 90 103 119 135 154 173 178 165 163 149 137 113 86 74 38 26 16 11 7 2 0 0 0 0 0 0 0 0 0 0 1 6 9 20 74 215 438 636 654 602 714 831 894 896 841 738 624 497 377 311 277 241 188 138 124 129 104 75 54 37 21 13 10 15 22 23 17 10 7 6 5 4 1 1 2 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 0 0 0 0 0 0 0 0 0 0 18 76 168 234 239 214 219
109 107 108 121 134 140 139 130 115 95 81 74 72 71 69 67 66 61 56 57 59 63 68 69 69 72 75 78 78 72 69 69 68 69 72 77 82 86 88 87 81 72 66 68 80 96 104 118 130 139 151 165 168 155 151 157 161 120 77 54 29 21 12 7 3 1 0 0 0 0 0 0 0 0 0 0 3 17 23 47 136 324 542 672 656 622 704 785 840 853 803 694 573 451 347 288 254 233 211 179 137 100 84 59 40 25 13 12 17 20 25 21 15 14 15 16 14 14 7 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 0 0 0 0 0 0 0 0 0 0 0 14 57 119 164 166 127
109 106 110 127 149 155 146 127 107 89 79 77 77 74 69 65 60 55 49 54 61 66 69 69 68 69 72 73 72 70 69 70 71 72 77 82 86 89 90 87 79 72 71 79 93 109 120 135 147 149 154 162 162 151 145 161 165 113 76 48 26 18 10 3 1 0 0 0 0 0 0 0 0 0 0 0 5 22 38 86 216 445 671 771 744 717 723 767 799 800 743 645 538 428 323 256 209 178 155 128 100 88 81 54 35 21 16 19 25 31 26 13 11 19 26 26 25 27 17 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 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 54 88 120
109 108 115 137 164 166 148 127 109 97 91 89 87 79 68 58 50 47 49 55 63 68 71 71 70 70 73 74 72 71 71 75 80 81 84 87 90 90 88 83 77 77 84 96 110 121 131 143 155 157 159 163 158 147 143 155 157 101 69 43 25 15 9 3 0 0 0 0 0 0 0 0 0 0 0 1 7 25 57 120 235 433 665 822 834 785 739 751 757 731 662 576 489 394 286 192 136 110 98 88 80 77 67 39 20 17 20 23 21 17 12 10 20 33 38 35 33 36 27 25 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 11 24
110 109 123 149 172 169 146 125 112 104 99 96 89 75 62 52 46 45 51 59 66 70 72 73 74 74 76 77 75 75 77 83 89 91 92 91 91 89 84 80 81 86 92 105 116 126 137 147 156 166 170 168 156 143 142 150 142 91 61 37 21 12 6 2 0 0 0 0 0 0 0 0 0 0 0 4 13 36 75 120 164 243 413 617 736 741 698 686 668 638 571 488 405 322 229 134 69 55 58 54 48 39 24 10 4 15 22 24 20 14 12 20 31 37 43 42 37 29 18 19 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
109 111 133 162 174 163 141 120 106 96 90 85 77 64 51 42 44 47 55 63 69 72 76 76 76 78 79 79 79 79 82 85 92 95 95 94 92 88 81 77 77 80 83 93 102 119 139 149 166 185 191 184 167 142 144 147 125 79 52 32 16 7 2 0 0 0 0 0 0 0 0 0 0 0 0 6 21 52 86 99 84 73 150 341 534 603 591 558 511 488 459 407 342 275 201 123 61 40 46 45 27 9 2 1 3 14 21 25 22 13 14 28 37 30 36 36 27 13 3 4 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
110 117 142 171 173 155 133 114 95 83 74 68 63 56 47 38 45 52 60 66 69 70 73 75 76 78 79 79 79 78 81 86 96 99 97 94 92 89 82 75 70 72 74 78 85 101 129 144 178 207 215 207 189 152 154 148 112 69 42 25 8 2 0 0 0 0 0 0 0 0 0 0 0 0 1 8 25 67 105 111 77 38 62 197 389 477 470 407 344 325 307 293 273 252 218 165 107 63 36 14 3 1 0 2 9 19 26 32 28 17 14 25 35 29 29 19 9 2 0 0 0 0 0 0 0 0 0 0 0 1 4 5 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
111 125 152 181 172 148 125 103 84 71 58 53 51 46 40 39 48 58 64 67 71 73 73 72 73 75 75 76 76 77 80 87 98 101 96 92 90 88 83 75 71 72 76 78 80 89 114 133 180 218 237 235 212 169 163 141 100 62 36 19 5 1 0 0 0 0 0 0 0 0 0 0 0 0 3 13 28 81 132 160 143 96 86 184 359 395 373 277 214 212 208 201 201 218 222 195 144 88 41 16 8 2 1 8 21 34 46 48 38 21 13 20 31 31 26 5 1 0 0 0 0 0 0 0 0 0 0 0 0 3 7 10 10 8 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 0 0 0 0 0 0 0 0 0 0
112 133 161 180 167 141 116 95 78 63 50 41 39 37 37 42 50 58 64 65 71 74 74 73 72 72 70 71 74 76 80 87 97 101 96 90 86 84 80 76 74 76 85 89 87 88 102 125 172 220 253 254 218 170 146 118 86 56 33 16 4 1 0 0 0 0 1 2 1 0 0 0 0 0 5 16 36 89 148 206 220 179 166 238 322 336 307 196 141 144 153 154 153 165 170 151 113 69 34 15 11 9 14 23 45 64 69 62 47 30 19 16 18 19 14 0 0 0 0 0 0 0 0 0 1 1 2 2 3 5 9 12 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
114 140 168 177 162 136 112 93 78 62 48 39 34 32 37 42 50 57 62 65 72 75 74 73 71 69 67 70 76 77 81 89 98 101 98 90 85 84 85 86 91 98 103 108 103 96 99 121 166 222 268 262 203 146 124 107 77 50 28 12 3 0 0 0 0 1 4 5 4 0 0 0 0 0 4 17 47 100 165 237 277 252 235 237 253 305 295 186 122 105 108 107 99 95 93 80 61 41 33 34 31 37 46 62 82 89 79 62 51 45 33 13 4 3 3 0 0 0 0 0 0 0 0 0 1 3 5 7 10 11 10 10 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
117 144 171 174 156 133 113 96 85 68 52 42 36 33 35 41 49 56 60 65 70 73 73 72 70 68 67 72 78 79 86 97 109 114 110 101 100 104 111 122 136 136 116 131 129 110 103 124 168 219 263 248 190 159 140 110 73 43 23 8 1 0 0 0 0 2 4 4 2 0 1 0 0 0 1 16 55 114 186 261 325 346 331 273 247 288 294 198 116 83 76 74 70 68 70 61 50 45 52 57 67 130 101 77 74 73 64 51 41 36 27 6 0 0 0 0 0 0 1 0 0 0 0 0 1 4 11 15 16 14 10 6 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
119 145 172 172 154 136 119 105 93 80 61 49 41 37 36 41 50 54 60 65 70 72 73 72 70 68 69 73 79 85 99 119 133 137 129 123 132 144 156 184 200 183 158 168 160 131 121 144 177 206 226 218 188 203 170 116 69 37 20 6 1 0 0 0 0 0 0 0 0 1 1 0 0 0 0 13 52 118 200 287 367 423 406 338 298 292 265 174 89 57 54 50 39 30 29 37 44 42 39 31 19 30 94 78 56 47 45 42 34 24 17 2 0 0 0 0 0 1 1 0 0 0 0 0 1 4 15 16 13 8 6 5 4 10 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 0 0 0 0 0 0 0
118 143 166 172 158 142 124 109 97 85 71 57 47 41 38 42 49 54 63 69 71 72 72 72 72 71 71 74 81 97 125 151 157 150 148 153 166 179 187 214 230 234 217 193 164 143 142 163 180 191 198 200 192 198 163 103 58 31 16 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10 43 110 203 301 384 427 377 303 265 249 213 139 74 42 55 54 33 12 6 16 33 31 25 17 16 67 141 107 63 48 40 34 25 12 1 0 0 0 0 0 1 3 2 1 1 1 1 2 3 6 13 9 7 3 3 4 5 8 7 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 0
110 130 150 161 158 147 129 114 101 90 78 63 50 43 43 46 50 57 66 73 73 73 74 75 76 76 76 79 92 122 155 176 178 182 186 188 194 200 201 202 222 237 206 177 151 136 133 139 148 162 169 168 155 126 105 58 37 24 12 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 38 99 187 285 361 369 264 189 253 272 231 162 104 70 70 55 19 3 2 11 28 35 39 35 35 85 136 111 67 45 28 17 8 2 0 0 0 0 0 0 1 3 4 7 11 12 10 7 4 4 10 3 3 2 2 3 4 5 5 2 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
98 111 127 140 147 145 133 122 107 95 83 67 53 46 48 49 52 58 66 74 78 77 75 76 77 80 84 90 115 152 180 196 210 218 200 205 217 219 211 204 212 214 151 158 157 137 116 96 104 130 132 107 74 50 40 20 21 14 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 3 11 24 45 91 164 247 301 268 159 134 285 326 289 218 151 106 78 44 7 1 3 10 24 37 44 46 57 83 95 80 52 29 9 2 0 0 0 0 0 0 0 0 1 3 8 15 22 25 21 15 8 4 3 1 2 2 2 2 2 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
91 97 108 119 128 133 129 120 107 99 86 71 58 51 50 51 53 56 63 72 79 79 77 77 77 79 85 100 128 173 202 202 205 206 192 216 238 229 207 194 188 164 95 119 146 140 113 91 102 116 94 56 27 12 9 9 11 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 1 14 32 47 61 86 145 207 224 179 129 164 314 364 324 244 171 121 84 47 11 4 8 11 16 28 42 55 64 67 61 49 33 17 1 1 0 0 0 0 0 0 0 0 0 5 14 22 26 26 25 20 15 8 2 3 2 2 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
88 89 95 102 109 115 116 110 100 94 84 71 60 54 51 50 53 55 62 69 75 79 80 81 80 83 88 94 120 180 177 174 178 184 195 229 253 226 190 166 139 108 77 77 106 95 75 72 82 77 45 18 5 0 1 3 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 2 6 35 57 63 62 78 124 164 143 106 127 225 346 363 317 232 160 115 85 56 29 19 18 17 24 36 50 59 58 51 45 35 21 8 2 1 2 1 0 0 0 0 0 0 1 7 15 19 18 15 16 14 14 10 6 6 5 4 3 2 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0
87 84 84 86 91 95 98 96 89 80 73 64 56 52 50 50 53 55 63 67 72 76 81 87 90 97 110 127 149 164 127 133 147 173 209 223 204 170 149 137 91 66 56 47 43 25 19 29 40 36 17 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 7 17 53 69 66 63 74 96 113 81 67 134 243 319 306 257 194 142 114 100 85 64 46 37 43 52 55 52 48 42 36 37 30 15 5 3 2 4 4 2 1 0 0 1 1 2 7 10 10 7 5 5 4 7 10 8 7 6 5 4 3 2 1 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 0 0
86 82 79 77 77 78 81 83 78 69 62 57 53 51 51 52 54 57 65 67 69 74 82 91 100 115 135 146 147 135 116 121 145 168 173 142 96 66 76 95 50 27 19 11 5 2 3 7 13 15 12 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 9 12 30 77 103 95 85 81 81 82 74 96 147 192 204 186 163 152 136 122 118 107 89 73 66 74 78 66 53 42 34 28 29 27 14 5 2 3 7 10 6 2 0 0 1 2 2 4 4 3 1 1 0 0 2 4 4 4 4 4 3 3 2 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
81 79 76 73 69 68 70 72 68 62 58 55 53 52 51 51 53 58 65 69 71 79 88 98 110 127 144 132 106 88 89 102 114 113 90 57 24 10 19 28 10 7 4 2 1 0 0 2 5 7 8 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 6 13 13 20 59 132 189 176 130 101 87 85 99 141 167 147 115 94 95 109 114 104 103 92 85 84 82 86 91 71 52 40 32 25 22 20 10 5 4 6 12 16 13 6 3 1 1 1 1 1 1 0 0 0 0 0 0 0 1 1 1 1 1 1 2 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 0 0 0 0 0 0 0
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