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 6 5 5 5 5 5 6 6 7 7 7 7 6 6 6 7 7 7 8 7 7 7 7 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 8 8 8 7 7 6 3 1 3 11 23 33 36 32 23 17 14 12 10 8 7 6 6 6 6 5 4 4 5 5 4 3 3 4 5 5 5 5 6 7 7 6 5 5 6 8 9 8 7 6 4 2 2 3 4 5 5 5 4 4 5 7 7 7 5 2 1 3 6 9 9 9 10 10 8 7 9 11 10 7 6 6 7 7 6 5 7 9 11 10 8 9 11 13 13 11 10 10 10 8 6 4 4 4 4 4 5 9 13 10 7 5 5 5 5 3 4 9 13 10 3 -2 -0 7 11 9 2 -1 1 5 9 9 7 5 6 9 15 20 23 24 23 21 18 15 12 nan
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nan 9 10 10 8 7 5 4 3 3 4 5 7 9 9 9 9 9 8 8 9 10 11 11 9 7 7 7 7 7 8 10 11 11 9 7 8 10 13 14 14 14 13 11 11 11 13 15 17 18 16 12 8 6 7 9 9 10 11 13 13 12 9 8 8 9 9 8 6 7 8 8 8 7 6 6 7 6 5 5 7 8 8 7 6 6 9 13 14 15 15 15 15 14 12 10 9 9 10 13 14 13 10 7 7 9 10 9 6 5 5 7 9 10 10 8 7 8 10 13 16 17 17 15 10 7 7 10 12 11 9 7 6 5 6 9 13 15 13 10 7 6 6 9 13 12 8 7 7 8 8 9 9 7 5 5 7 11 13 12 8 3 2 3 6 7 7 6 6 7 8 9 10 10 9 9 9 9 9 9 8 8 7 7 7 8 9 9 9 10 nan
nan 7 7 7 7 6 5 3 3 3 5 6 8 9 9 10 10 10 10 9 9 10 11 12 10 9 8 7 7 6 8 9 10 10 10 10 11 13 15 15 14 13 11 9 8 8 10 14 17 18 16 12 9 7 9 11 12 12 11 11 12 11 9 8 7 7 6 4 5 7 9 10 11 10 9 9 8 6 4 3 5 7 8 6 5 5 7 11 13 14 14 14 14 13 13 12 10 10 11 14 15 13 9 5 3 4 6 7 7 6 6 6 7 6 5 2 -1 -1 2 6 11 15 17 16 14 14 16 19 17 12 7 4 1 -2 -2 1 8 14 16 15 12 10 7 7 8 9 8 8 8 8 8 9 10 9 8 7 7 8 8 7 4 0 -2 0 3 4 3 3 3 4 5 6 7 8 8 8 8 8 8 7 7 6 6 6 7 8 9 10 10 10 nan
nan 5 5 5 5 5 4 3 3 5 7 8 8 9 9 10 10 10 10 9 10 11 13 13 12 9 7 7 6 6 6 7 8 9 10 11 12 13 14 14 14 13 12 11 9 9 10 12 15 17 15 11 9 8 10 13 14 14 12 11 11 11 9 8 7 6 5 5 6 8 10 11 11 11 10 10 9 6 3 3 4 6 8 7 5 4 5 8 11 12 13 13 14 14 16 15 13 11 11 12 13 11 7 3 -1 -2 1 5 8 8 8 7 7 7 7 3 -3 -6 -6 -2 4 10 15 17 18 21 24 24 19 12 7 3 1 -2 -4 -4 1 7 11 13 13 11 8 6 5 7 8 8 8 8 8 9 10 11 12 12 10 9 9 7 5 2 0 1 2 2 2 1 2 3 4 5 6 7 7 7 7 6 6 6 5 5 5 5 6 8 9 9 10 10 nan
nan 7 5 4 4 3 2 2 4 6 9 10 9 9 9 9 9 9 9 10 11 13 14 13 11 8 6 5 4 4 5 7 8 10 10 10 11 10 11 12 13 14 14 14 13 11 10 11 13 15 15 12 9 8 10 13 14 14 14 13 12 11 10 8 7 6 6 7 8 9 9 10 10 9 8 8 7 4 3 3 4 6 8 8 6 4 4 5 8 10 12 13 13 14 15 15 13 11 11 11 11 10 6 1 -3 -5 -2 3 7 9 9 8 9 11 13 10 3 -4 -7 -5 -1 6 12 15 17 19 21 20 15 10 8 7 8 7 4 3 3 5 7 8 9 9 8 8 8 8 8 8 7 7 6 8 10 13 15 16 15 13 11 9 8 6 5 4 3 3 2 1 1 2 3 5 6 7 6 6 5 5 5 4 4 4 5 5 6 7 8 8 9 9 nan
nan 9 7 5 3 2 2 3 5 8 10 10 10 9 9 9 9 8 9 10 11 12 12 11 9 7 5 4 2 2 4 6 9 10 11 10 9 8 8 10 12 14 14 14 13 11 10 11 13 15 15 14 11 9 10 13 15 15 15 14 12 10 9 8 7 6 7 8 9 8 8 8 7 7 7 6 5 4 3 4 5 7 8 10 9 6 4 4 5 8 10 12 13 13 13 12 11 11 11 11 11 9 6 2 -2 -3 -2 3 6 9 10 10 10 13 15 14 9 2 -3 -3 -1 3 8 11 13 14 13 11 9 8 9 11 13 14 14 13 12 11 9 8 9 9 9 10 11 11 9 7 6 5 6 8 12 15 17 18 17 15 14 13 12 11 9 7 5 4 3 3 2 1 2 3 5 6 6 6 6 6 5 5 5 5 5 6 6 7 7 7 7 7 nan
nan 10 7 5 3 2 2 4 6 8 10 11 11 10 10 10 9 9 9 10 9 9 9 9 8 7 5 3 2 2 4 7 9 10 11 10 9 7 7 8 10 12 12 11 10 10 11 12 14 15 16 15 13 11 12 14 17 18 18 15 11 8 7 6 6 5 7 10 10 8 6 5 6 8 8 7 5 4 4 5 6 8 9 11 11 9 6 4 4 5 8 11 13 14 14 14 12 11 11 11 11 10 8 5 2 -1 -1 2 7 11 12 12 10 10 12 13 11 7 3 1 1 2 4 6 10 11 10 7 5 5 7 11 13 15 16 17 17 16 15 13 13 11 10 10 11 11 10 7 6 5 6 8 12 15 16 17 16 16 15 16 16 15 11 8 6 6 5 5 4 2 1 2 3 4 5 6 6 7 7 7 7 7 7 7 7 6 6 6 6 6 nan
nan 8 6 3 2 2 4 6 8 9 10 11 12 12 11 10 10 10 10 10 9 9 9 8 8 7 5 4 4 5 6 8 9 10 11 10 8 6 6 6 8 9 9 8 8 8 10 11 11 13 15 16 14 12 12 13 17 19 20 17 13 9 7 6 4 5 8 12 13 9 5 4 6 10 11 8 5 5 5 6 7 8 9 10 11 10 8 5 4 4 6 9 12 15 16 16 14 11 10 10 11 12 13 10 5 1 -0 3 9 13 15 13 9 6 7 8 9 8 6 5 4 3 2 2 5 7 7 6 4 2 4 7 10 11 12 14 16 16 16 14 13 10 9 9 9 10 9 7 6 6 6 7 9 12 13 14 15 15 16 18 18 16 12 9 7 7 7 6 5 3 2 1 2 3 5 6 7 8 8 9 9 9 9 8 7 6 6 6 6 6 nan
nan 6 5 3 3 5 6 7 9 10 11 12 12 12 12 11 11 11 11 11 10 10 10 9 8 6 6 6 7 8 8 8 10 11 11 10 8 5 4 4 5 7 8 8 8 7 7 7 7 10 13 14 14 12 10 11 14 17 18 16 13 10 8 6 4 5 9 13 14 11 6 4 6 10 11 8 6 7 7 7 6 6 7 8 9 9 8 6 4 4 5 8 12 14 16 16 14 11 10 10 12 15 16 12 7 3 3 6 11 14 14 12 8 5 4 5 6 7 8 8 8 7 5 4 3 4 5 5 3 2 2 3 4 4 6 8 12 13 12 10 8 8 9 10 10 9 8 8 7 7 6 6 6 8 9 10 11 13 15 18 18 16 13 10 8 8 7 7 6 4 3 2 2 3 5 6 7 8 9 9 9 10 9 9 8 7 7 6 6 7 nan
nan 5 4 4 5 7 8 8 9 10 10 12 13 12 11 11 11 11 11 12 12 11 10 9 7 6 6 8 9 9 8 7 8 10 11 11 9 6 3 1 1 4 8 11 11 9 7 5 5 6 10 13 14 14 11 11 12 13 14 12 10 8 7 5 4 6 9 12 13 12 7 3 5 8 10 8 7 8 8 7 5 5 5 6 7 8 8 7 5 4 5 7 11 13 13 13 12 11 9 9 10 12 13 11 8 7 8 9 10 12 11 9 7 6 6 6 6 8 9 9 10 10 10 9 7 6 6 6 6 4 2 0 0 -0 1 3 6 9 9 7 6 6 7 8 8 7 6 7 8 7 6 5 4 5 6 6 7 8 11 15 17 16 13 11 9 7 7 7 6 5 4 4 4 5 5 6 7 8 9 9 9 9 9 9 9 8 8 7 7 7 nan
nan 5 4 4 6 7 9 9 9 9 10 12 12 11 10 10 10 9 10 10 10 10 10 9 7 6 6 8 9 8 6 6 6 8 11 12 10 7 4 -0 -1 2 6 12 14 13 9 5 3 4 7 12 16 17 15 13 12 11 10 8 6 4 4 5 6 8 9 11 11 10 7 3 4 7 8 8 7 7 7 6 6 6 6 6 7 8 8 8 7 5 5 6 9 11 10 10 9 9 8 8 8 9 10 12 11 11 10 9 8 8 8 7 7 7 9 10 11 11 10 10 10 11 13 13 12 10 10 12 11 9 5 3 2 1 0 1 3 6 7 7 5 4 5 5 5 4 4 6 9 8 6 5 4 4 4 5 5 7 10 12 15 15 13 11 9 7 7 7 7 6 5 6 6 6 6 6 7 7 8 8 8 8 8 8 9 9 9 9 8 8 nan
nan 6 5 6 6 7 8 8 8 9 10 11 12 12 11 10 9 8 7 7 8 9 10 9 7 5 4 4 5 5 5 5 6 9 11 12 11 9 6 2 -2 -0 4 10 15 16 13 10 7 6 8 13 17 19 17 14 11 10 9 7 5 2 2 5 9 10 9 10 10 8 5 3 5 9 9 8 7 6 5 5 5 7 9 9 9 9 10 10 9 7 6 6 7 8 7 6 6 7 8 8 9 11 13 14 13 11 9 7 6 6 7 7 8 10 13 18 19 17 13 11 10 11 13 14 14 13 13 14 14 13 11 9 8 6 4 3 5 7 8 7 6 7 7 7 6 5 5 7 9 9 8 7 6 5 4 4 6 9 11 12 12 12 11 10 8 7 7 7 7 7 7 7 7 7 6 5 5 6 7 7 7 7 7 8 9 9 10 10 10 10 nan
nan 6 6 7 7 7 8 8 8 8 9 10 13 15 14 12 9 7 7 8 8 8 9 8 5 2 1 2 3 5 6 7 9 10 11 12 11 10 9 5 1 -1 3 8 13 17 19 19 18 16 15 16 17 16 13 10 10 9 9 8 6 4 4 8 11 11 10 9 8 7 5 4 6 10 10 9 8 7 5 4 4 6 10 11 11 11 11 12 11 9 8 7 7 6 5 3 3 4 7 10 13 15 16 16 14 11 8 7 7 7 9 10 11 14 18 23 24 22 17 14 12 12 13 13 13 13 13 13 14 15 15 14 12 10 8 8 9 9 8 7 9 12 13 12 10 8 7 7 8 8 8 8 7 6 5 4 6 8 9 9 9 9 9 9 8 8 8 8 8 8 9 9 8 7 5 4 4 5 6 6 7 7 7 8 9 10 10 11 11 11 nan
nan 5 5 6 7 8 9 9 9 8 7 10 14 18 17 14 10 9 10 11 10 9 8 7 5 3 1 2 5 7 9 11 12 12 12 11 10 11 12 9 5 2 2 7 11 16 21 26 27 26 22 19 16 14 10 9 10 10 10 9 8 7 7 9 11 11 11 10 8 6 5 5 7 10 11 11 10 9 8 6 6 9 13 14 12 11 12 12 12 11 9 8 8 6 4 3 2 4 8 12 15 16 16 15 13 11 9 8 8 9 10 11 12 13 16 19 21 21 18 16 15 13 12 12 11 10 10 11 13 15 15 14 12 10 9 9 8 7 6 8 10 14 15 15 12 9 8 7 6 5 6 7 7 7 7 7 8 8 8 8 9 10 10 9 9 9 9 9 9 10 10 10 9 6 3 2 3 4 6 6 7 7 8 8 9 9 10 11 11 11 nan
nan 5 5 6 8 10 11 11 10 8 7 10 14 16 14 12 10 11 12 12 10 8 8 9 9 8 7 7 7 9 11 13 14 14 12 11 11 13 14 12 9 6 4 6 11 15 19 23 26 24 21 18 15 14 12 11 12 12 12 11 10 9 9 10 10 10 10 10 10 8 7 7 8 10 11 12 12 11 10 10 11 14 17 17 14 11 10 11 12 11 10 9 8 7 6 4 5 7 11 14 15 14 14 13 11 9 7 6 7 9 9 9 8 7 7 9 11 13 14 15 15 14 13 11 9 7 6 7 10 11 11 10 9 7 7 7 6 6 7 10 12 13 14 14 12 10 8 7 5 4 4 5 6 7 8 10 10 10 10 11 12 13 13 12 11 10 11 11 11 11 11 11 9 6 3 2 3 4 6 6 7 8 8 8 8 9 9 10 10 10 nan
nan 6 7 9 11 13 13 12 9 7 6 9 12 10 8 8 9 11 11 11 9 8 8 10 12 13 13 11 8 8 10 12 14 13 13 12 13 14 15 13 10 8 6 6 9 13 14 16 17 16 15 14 13 14 15 15 14 14 14 13 12 10 10 10 9 9 9 9 10 9 8 8 9 10 11 11 12 12 12 14 17 20 21 18 14 10 8 8 9 9 9 8 7 6 6 5 6 8 11 14 14 13 14 12 9 6 3 3 4 6 6 5 3 1 -0 1 2 4 7 11 13 14 13 11 9 6 4 5 6 7 7 7 7 6 6 6 7 9 11 13 14 13 12 11 11 10 8 6 5 4 4 4 4 6 8 11 12 12 12 12 13 14 15 14 13 12 12 12 12 11 11 11 10 8 5 4 4 5 6 7 7 8 8 8 8 9 9 10 10 10 nan
nan 8 9 11 13 15 15 13 8 5 5 8 9 9 7 7 7 8 9 10 10 8 7 9 12 14 14 11 7 6 8 10 11 11 11 12 13 13 12 11 9 7 6 5 7 10 10 10 10 10 9 9 10 11 13 14 14 14 14 14 13 12 11 10 9 9 9 8 8 7 7 9 10 10 10 10 10 11 13 16 21 24 22 18 12 8 6 6 7 7 7 7 5 4 4 5 6 6 7 9 10 12 13 12 8 4 1 0 1 3 3 3 1 -2 -3 -2 -1 0 2 6 10 12 12 10 9 7 5 6 6 7 6 6 7 7 7 7 8 10 12 14 13 10 8 7 8 9 7 7 6 6 5 3 2 4 7 10 11 10 9 9 10 12 13 13 13 12 11 11 10 10 10 10 11 10 8 7 6 6 6 7 7 8 8 8 9 9 10 10 10 10 nan
nan 9 9 11 13 15 15 12 9 6 6 9 10 10 10 8 6 5 6 9 10 9 7 6 8 11 12 10 9 8 8 8 9 9 9 8 9 9 9 7 6 5 5 4 5 7 7 8 7 7 6 6 6 7 9 11 12 13 14 14 14 14 13 12 12 12 11 9 6 4 4 7 10 10 10 10 9 10 12 16 20 23 21 16 11 7 6 6 7 7 6 6 5 4 5 5 6 5 4 5 7 10 12 11 7 4 2 0 0 0 0 0 -0 -1 -2 -0 2 3 3 5 8 8 8 8 8 7 7 7 8 9 8 7 7 7 7 6 6 7 8 9 8 6 5 4 5 7 8 9 9 7 4 2 1 2 4 6 6 6 5 5 5 7 9 9 9 9 9 9 9 9 9 10 11 12 11 10 9 8 7 7 7 8 8 9 9 9 10 10 10 10 nan
nan 11 11 11 11 12 12 11 9 8 9 11 12 11 9 7 5 4 5 7 8 7 6 7 7 8 9 9 11 11 10 9 9 9 8 7 6 6 6 5 5 4 4 4 4 5 6 7 7 6 5 4 5 6 8 10 12 13 13 14 14 13 12 12 13 14 14 11 7 4 3 5 8 10 10 10 9 9 10 14 18 20 20 16 12 8 6 6 6 7 6 6 6 7 8 8 8 6 5 6 9 11 11 9 6 4 2 2 1 0 -2 -2 -1 0 2 5 8 9 10 9 9 8 7 7 7 7 7 8 9 10 9 8 8 7 6 5 3 2 2 2 3 2 2 3 5 7 9 11 10 7 3 1 0 1 2 2 1 -0 -1 -1 0 2 4 6 6 7 7 7 8 8 9 11 12 13 13 12 11 10 8 8 8 8 9 9 9 9 9 10 10 11 nan
nan 12 12 11 11 11 11 11 9 9 9 11 11 10 8 5 3 2 3 4 5 5 7 8 8 8 7 7 9 10 11 11 10 10 9 8 7 7 6 6 5 5 5 5 5 5 6 6 6 5 5 5 5 7 9 12 13 14 14 14 13 11 9 9 11 14 15 15 12 8 5 4 7 9 10 9 8 8 9 12 16 18 18 16 13 9 7 6 6 7 7 8 9 11 12 11 9 8 8 11 13 14 12 10 6 4 3 4 4 4 2 2 3 5 7 9 11 12 13 14 14 12 11 9 8 7 7 8 9 10 10 9 8 7 6 5 2 0 -0 -0 0 1 1 2 5 9 12 13 12 8 4 0 -0 -1 -1 -2 -3 -5 -7 -6 -3 -1 2 3 4 5 6 6 7 8 9 10 11 12 12 12 11 11 10 10 10 10 10 10 10 10 10 11 11 11 nan
nan 11 11 12 13 13 12 12 11 9 9 9 10 10 8 4 1 -1 0 2 4 5 6 8 9 8 7 7 7 9 10 10 11 11 10 10 10 10 9 9 8 8 7 7 7 7 7 6 6 5 5 6 7 9 10 13 14 15 14 13 11 9 7 6 8 12 15 17 16 13 8 5 6 8 9 7 6 5 6 9 12 15 16 16 14 11 8 7 6 7 8 11 13 15 14 11 8 9 11 12 13 14 13 11 9 7 7 8 10 11 12 11 11 11 11 11 10 11 12 15 17 18 15 12 10 7 7 8 9 10 10 9 8 8 8 6 4 2 1 1 1 2 2 3 6 9 12 14 13 8 4 2 -1 -3 -5 -6 -7 -9 -9 -8 -5 -3 -1 1 3 4 5 6 6 7 7 8 9 9 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 nan
nan 10 10 12 14 14 14 13 13 10 8 9 10 10 9 5 1 -1 -0 2 4 5 6 8 9 8 7 7 8 9 9 10 10 11 12 13 13 13 13 12 11 10 10 9 9 8 7 7 6 6 7 8 10 11 11 12 13 13 13 12 10 8 6 5 6 9 13 16 16 14 10 8 7 8 8 6 3 2 3 4 7 11 15 17 17 14 10 9 8 9 11 14 16 16 13 8 4 5 7 9 10 12 12 11 11 11 12 13 14 16 17 18 17 15 14 13 12 12 13 15 17 19 17 12 9 7 7 8 10 10 10 9 9 9 9 8 6 4 2 2 2 3 4 5 7 8 9 10 9 7 6 5 2 -2 -6 -8 -9 -9 -8 -6 -4 -3 -1 1 4 5 6 7 6 7 6 7 7 8 8 9 9 10 11 12 13 13 13 13 13 13 14 14 14 13 nan
nan 10 10 10 11 12 13 14 14 13 11 10 11 11 10 7 4 2 2 4 6 6 8 9 9 9 7 8 8 9 9 9 10 11 13 15 16 15 14 13 11 10 9 9 9 9 8 8 8 8 8 9 10 11 12 11 11 10 10 9 9 7 5 4 4 7 11 14 15 14 11 9 9 8 7 5 2 0 1 2 4 9 14 18 19 18 14 11 11 13 16 17 17 13 8 3 -0 1 4 6 8 8 8 8 10 13 14 14 13 14 15 16 16 15 15 15 16 15 15 15 15 15 13 10 8 8 8 9 10 11 11 10 8 8 8 8 7 5 3 1 1 3 5 8 9 8 7 5 4 7 10 11 10 6 1 -3 -5 -5 -3 -2 -0 1 2 4 6 8 8 7 6 6 5 6 6 7 8 9 10 10 10 11 11 12 12 12 13 15 15 14 13 12 nan
nan 10 10 10 9 10 11 13 14 15 15 13 12 11 10 9 7 6 7 8 8 8 9 10 11 10 8 8 9 10 10 9 10 12 15 18 18 16 14 11 9 7 7 8 9 9 9 10 10 10 9 9 10 10 11 11 10 8 7 7 7 6 5 4 4 5 8 11 12 12 11 9 9 8 7 6 3 2 2 4 6 10 15 19 21 21 18 15 15 17 19 19 14 9 4 1 1 2 4 6 6 6 5 5 8 11 13 12 12 11 11 11 10 9 12 14 17 17 15 13 12 11 9 9 9 9 8 9 10 12 13 12 9 8 8 8 7 5 3 0 -0 2 6 10 12 11 7 4 4 7 11 15 17 16 12 7 4 3 4 5 6 7 8 9 9 10 8 6 5 4 4 5 6 7 8 9 9 8 8 8 9 11 11 13 15 16 15 13 12 12 nan
nan 11 11 10 9 8 9 10 12 14 15 14 13 11 10 9 8 8 9 9 9 9 11 12 13 12 10 9 9 10 10 10 11 13 16 19 19 16 13 10 8 6 6 7 8 9 10 11 13 13 13 11 10 9 9 9 9 8 7 7 7 7 6 5 4 4 6 9 11 11 9 7 7 7 8 8 7 5 5 7 9 11 14 17 19 20 19 17 17 19 19 17 11 6 5 5 5 5 6 6 6 6 6 5 8 10 11 11 11 11 10 7 4 3 6 10 13 14 13 10 8 7 8 9 9 9 9 9 9 11 13 12 11 9 9 9 8 5 3 0 -0 2 6 10 12 10 6 3 4 7 10 14 17 19 17 12 9 8 9 9 10 11 11 11 10 8 6 5 4 4 5 6 7 7 8 8 8 8 8 9 11 13 14 16 16 16 14 11 11 11 nan
nan 11 10 9 9 8 8 8 9 10 11 11 11 11 9 8 8 8 8 9 9 10 12 14 14 13 11 10 9 9 9 10 11 12 15 16 17 16 14 11 10 10 10 9 9 9 10 12 14 16 17 15 13 11 10 10 10 10 10 9 9 9 8 6 4 3 4 7 10 10 8 6 5 6 8 9 9 7 7 8 9 10 11 12 14 16 17 18 18 18 17 14 10 8 9 9 8 7 7 7 8 8 8 8 9 10 10 10 10 11 11 9 6 3 4 6 9 11 11 9 7 6 7 8 9 10 9 9 10 11 12 12 11 10 9 9 8 6 4 3 3 4 6 8 8 5 1 -1 1 4 6 10 12 13 12 9 8 8 9 9 10 10 9 8 7 5 4 4 5 5 6 6 7 8 9 10 11 11 11 12 15 16 16 15 14 13 11 10 9 8 nan
nan 9 8 8 8 8 8 8 7 6 7 7 8 8 8 7 7 7 7 7 8 10 11 13 14 13 11 10 8 7 7 8 9 10 11 12 14 14 14 13 14 15 15 13 11 9 10 11 14 16 17 17 17 15 14 14 14 13 13 12 11 11 10 8 6 4 3 5 7 8 8 6 6 5 7 8 9 8 7 7 7 7 7 7 9 11 13 15 17 17 15 13 11 10 11 12 11 10 9 9 9 9 9 10 10 10 9 8 8 10 11 12 11 8 6 7 8 9 10 9 8 8 8 9 10 10 11 11 11 12 13 13 12 10 9 8 7 6 5 6 6 7 8 7 5 2 -1 -2 -1 -0 1 3 4 4 3 3 3 5 6 6 7 6 6 5 5 5 6 6 7 7 7 7 9 10 12 14 14 14 13 13 15 16 14 12 10 10 10 10 8 6 nan
nan 7 7 6 7 8 10 9 8 6 5 4 5 5 6 7 7 6 6 6 7 9 10 11 12 12 11 9 6 5 5 6 7 7 7 9 11 12 13 13 15 17 18 17 13 10 9 10 10 12 13 14 15 17 17 17 16 15 15 14 14 13 13 12 10 7 4 3 5 7 7 6 5 5 6 7 8 7 6 5 5 5 5 4 5 7 10 13 16 17 16 14 12 10 10 12 12 12 11 10 10 10 11 11 11 10 8 7 7 8 10 12 13 12 11 10 10 11 11 11 10 10 10 11 11 12 12 13 13 14 14 15 14 13 11 8 7 6 6 6 6 7 8 7 6 4 3 3 3 2 0 -0 -1 -3 -3 -2 0 2 4 5 5 5 6 6 7 8 9 9 9 8 9 10 11 13 14 14 13 12 11 12 14 13 11 9 9 10 11 10 8 6 nan
nan 8 7 6 6 8 10 11 9 7 5 5 5 6 7 8 8 7 6 6 6 7 9 10 11 11 10 8 6 4 3 4 4 5 5 7 10 11 11 11 12 14 17 18 16 13 10 8 6 6 6 7 11 14 17 18 17 15 14 13 13 14 14 13 13 11 7 4 5 7 7 6 5 5 6 7 8 6 6 5 5 5 4 3 3 4 6 10 14 17 18 16 13 10 9 10 12 12 11 9 8 9 11 12 12 11 9 8 7 7 7 9 11 12 14 14 14 13 13 12 11 10 10 11 12 12 13 13 13 14 14 15 16 15 14 12 10 8 7 6 5 5 6 7 6 6 6 7 7 5 3 0 -2 -3 -3 -1 1 3 5 7 8 9 10 10 11 12 12 11 10 10 11 11 12 12 12 11 10 9 11 12 13 12 10 9 9 10 11 9 6 5 nan
nan 9 8 7 7 9 10 12 11 9 8 8 9 9 10 10 10 9 8 7 7 7 8 9 9 10 10 9 7 5 3 3 3 4 5 7 10 11 10 9 8 9 12 15 16 15 12 8 4 1 1 3 8 12 15 17 16 14 12 11 11 11 12 13 13 12 9 7 8 8 8 7 5 5 7 8 8 7 6 6 7 6 5 4 2 1 3 7 12 16 18 16 13 10 9 9 10 12 11 9 6 7 10 12 12 12 11 10 8 7 7 6 7 8 10 12 13 14 13 12 10 9 9 9 11 12 11 11 11 12 12 13 14 15 15 14 13 12 11 9 7 6 6 5 5 4 5 5 5 5 3 1 -1 -1 -0 2 4 7 10 13 14 15 15 14 14 14 13 13 12 11 11 11 11 10 10 9 9 11 13 14 13 11 10 9 10 10 9 7 6 6 nan
nan 8 8 7 8 10 11 13 13 12 12 11 11 11 12 12 12 12 12 12 10 9 8 8 9 10 11 12 10 7 5 4 3 4 5 8 11 13 12 9 7 5 6 10 13 13 12 8 4 1 1 4 8 12 14 15 15 13 11 10 10 10 11 12 12 12 11 10 11 11 11 9 8 7 8 9 8 7 6 6 7 7 6 5 4 3 2 5 9 13 15 15 13 11 9 9 10 12 13 10 7 6 8 10 11 11 11 11 10 9 8 6 4 3 3 5 8 11 12 12 11 10 9 9 10 10 10 9 9 9 9 10 11 11 11 11 11 11 11 10 9 8 6 5 4 3 3 3 3 3 3 2 1 1 2 5 8 12 17 20 20 20 18 17 15 14 14 13 12 11 10 10 9 9 9 10 12 14 15 14 12 10 9 9 10 9 9 8 7 7 nan
nan 7 7 7 7 9 12 13 14 14 12 10 10 10 12 13 13 14 16 15 13 10 9 8 9 11 14 14 13 10 8 6 6 6 7 10 12 14 14 12 8 5 5 7 10 11 11 10 7 5 5 8 11 12 13 14 14 12 11 10 11 11 12 12 12 12 11 11 11 12 12 11 11 10 10 9 8 6 5 5 6 7 7 7 6 6 5 5 7 9 11 12 12 11 10 9 10 12 14 12 10 9 9 9 10 10 11 11 12 10 8 6 3 0 -0 2 5 10 12 13 13 12 12 10 9 8 8 7 7 8 8 8 8 7 6 6 6 7 8 9 10 11 10 8 6 5 4 4 4 5 4 4 3 3 5 8 13 17 21 23 22 20 18 15 14 13 12 11 9 9 9 9 9 8 9 11 13 14 14 13 11 10 9 9 9 9 9 8 8 8 nan
nan 7 6 6 6 7 10 12 13 13 10 7 8 10 11 12 13 14 15 16 14 12 10 9 10 12 14 15 14 12 11 10 9 9 9 11 13 15 15 14 11 9 8 8 9 11 12 12 11 10 11 12 13 12 12 12 13 13 12 11 11 11 11 11 11 11 10 10 9 10 11 13 14 13 11 9 8 6 6 6 7 8 8 9 9 9 8 6 6 6 7 9 10 10 9 9 9 10 12 12 12 11 10 9 9 9 10 11 12 10 8 6 4 3 3 5 8 11 13 13 13 12 10 8 7 7 7 7 7 7 7 7 7 7 6 6 7 7 8 10 12 14 14 13 11 9 8 7 7 6 5 4 4 5 8 12 15 18 19 19 17 15 13 11 10 9 8 7 6 7 8 8 9 8 9 12 13 13 12 11 11 10 9 9 9 9 8 8 8 8 nan
nan 10 8 6 5 6 7 9 10 9 7 6 8 9 11 11 11 11 12 14 14 13 11 10 10 11 12 13 13 13 12 12 12 11 11 13 14 15 15 14 12 10 10 10 10 11 12 14 15 15 16 15 14 13 12 12 12 12 11 10 9 8 8 8 8 8 8 8 8 8 11 13 15 15 12 9 9 9 10 11 12 12 11 12 12 11 9 8 6 6 6 6 8 9 9 8 8 7 8 10 11 11 10 9 9 9 10 10 10 9 7 6 6 6 8 10 11 12 12 11 10 8 6 5 6 8 9 9 9 9 8 8 8 8 9 9 10 11 11 12 13 15 16 15 14 13 12 10 8 6 5 4 5 8 10 11 13 13 13 13 11 9 8 7 6 6 6 6 6 7 8 9 9 9 10 12 12 12 12 12 11 10 9 9 9 8 8 8 8 8 nan
nan 13 12 9 7 6 6 7 7 8 7 8 8 9 9 9 9 9 9 11 12 12 10 9 8 8 9 10 12 12 12 12 11 11 12 14 17 17 15 12 10 9 10 10 11 12 14 15 17 18 18 16 14 13 12 11 10 10 10 9 7 6 6 6 7 8 8 8 9 10 11 13 14 14 12 11 11 13 16 17 17 16 16 17 16 14 11 9 7 6 6 6 7 8 8 8 8 7 7 9 12 12 11 10 9 8 8 8 8 7 7 7 8 9 10 10 10 10 9 9 8 6 5 5 9 13 15 16 17 16 14 13 11 11 11 12 12 12 12 12 12 14 14 15 15 15 14 12 9 7 6 7 8 10 10 10 10 9 9 9 7 6 5 5 5 6 6 6 7 8 9 9 10 10 11 13 14 14 14 13 11 10 9 9 8 8 8 8 8 9 nan
nan 14 14 12 10 8 7 7 8 9 10 11 10 9 8 8 8 7 7 8 9 9 9 7 6 6 7 8 10 10 10 9 9 9 11 15 18 18 16 11 8 6 7 8 10 12 14 17 18 19 18 15 13 13 12 10 8 8 8 7 6 6 6 7 8 9 10 11 12 13 14 14 15 15 14 14 15 17 18 18 18 18 19 19 18 16 14 12 10 9 8 7 7 8 8 9 9 9 10 11 13 13 11 10 8 8 8 8 7 7 7 9 11 11 10 8 8 7 7 7 7 6 6 8 13 18 22 24 25 24 22 19 16 14 13 13 13 12 11 10 10 10 12 13 15 15 14 12 9 7 7 8 9 10 10 11 11 11 9 8 6 4 3 4 5 6 7 7 8 8 9 9 10 11 14 16 17 17 16 14 11 9 8 8 8 8 8 8 8 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
77 78 80 81 79 78 75 71 69 67 69 76 83 93 100 106 105 97 86 78 76 85 100 111 118 114 101 81 64 51 41 41 50 63 74 80 80 76 71 64 57 49 42 34 24 16 11 11 14 23 32 35 32 48 136 326 521 519 391 282 212 160 118 107 157 242 243 175 132 110 96 81 64 45 26 10 4 1 0 0 0 0 2 6 9 10 12 22 34 52 64 58 46 39 56 97 131 150 148 116 65 28 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 30 74 125 167
72 72 73 72 72 73 74 74 78 75 70 72 75 82 90 94 95 98 97 92 87 85 88 98 107 116 112 99 84 68 53 44 41 46 53 58 63 67 70 70 70 63 56 47 36 24 13 7 8 18 36 51 52 48 83 221 449 620 602 398 257 177 140 143 193 253 242 169 122 100 85 71 54 36 19 6 1 0 0 0 0 0 1 5 13 20 28 35 43 52 56 55 49 46 59 90 124 140 131 101 63 29 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 16 41 88 166 245 300 328
70 70 69 67 65 65 67 69 73 73 69 75 73 67 62 61 65 73 83 89 89 88 88 90 95 110 116 111 98 84 70 60 55 50 45 44 48 53 61 70 75 72 65 54 46 37 23 11 7 14 29 51 66 63 63 137 326 536 592 486 359 241 189 187 200 208 189 145 106 85 68 54 40 23 9 2 0 0 0 0 0 0 1 7 18 30 39 44 52 68 78 72 56 48 56 79 112 128 109 82 52 26 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 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 2 4 34 105 199 299 389 449 468 468
71 69 72 74 73 70 66 65 66 67 67 79 78 72 65 59 56 58 65 71 75 79 83 88 92 95 103 108 102 94 86 79 73 64 51 42 42 43 49 62 75 80 73 58 49 44 33 19 12 13 23 40 64 76 67 88 190 358 529 601 478 325 270 224 189 168 144 116 90 71 53 37 25 12 3 0 0 0 0 0 0 5 6 14 24 35 46 56 65 99 126 106 68 47 49 64 88 110 94 57 37 21 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 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 1 2 5 15 26 88 237 378 480 548 584 590 579
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83 80 78 78 81 87 90 90 89 84 82 81 81 84 91 95 87 78 71 66 62 64 75 88 96 104 106 97 84 76 83 97 103 101 91 81 72 66 64 69 77 91 96 90 73 54 40 29 18 14 23 42 61 71 75 76 83 124 277 517 560 441 293 165 99 63 56 48 39 28 18 9 2 0 0 0 0 1 10 40 77 108 151 158 108 100 143 204 256 282 274 211 107 53 36 34 41 51 52 36 11 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 0 0 0 0 0 0 9 32 57 94 161 190 457 595 678 739 790 827 846
88 86 84 83 83 87 92 96 101 99 97 92 88 89 98 106 102 91 86 79 75 75 79 87 92 101 118 118 102 88 86 94 103 109 109 103 91 79 72 71 76 86 93 90 80 63 45 32 21 13 16 27 42 58 69 73 81 118 208 428 563 466 267 120 58 37 33 30 24 15 8 3 0 0 0 1 3 11 35 89 145 194 238 251 212 200 235 296 359 370 304 201 119 59 40 36 39 45 40 22 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 0 0 0 0 0 0 0 0 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 27 45 39 54 198 457 586 671 729 778 825 870
90 92 91 89 88 90 97 106 114 117 112 102 94 92 97 107 113 112 108 97 85 83 86 91 96 107 121 127 118 104 97 97 104 115 124 126 115 99 86 80 82 86 87 85 80 67 52 37 24 14 10 15 30 52 67 71 81 111 174 305 550 477 236 87 48 43 31 23 15 7 2 0 0 0 4 23 60 81 126 197 266 326 359 362 355 362 388 440 470 426 321 209 126 71 45 40 38 44 38 21 7 1 0 0 0 1 1 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 0 0 0 0 0 1 9 23 20 49 210 444 594 693 743 774 815 871
92 98 100 97 96 100 108 118 124 124 120 111 102 95 91 92 101 111 113 101 86 89 100 108 117 124 129 135 133 120 111 108 110 119 130 140 136 118 102 93 92 90 83 80 77 67 54 42 28 15 9 10 23 48 68 76 81 106 158 276 492 454 181 59 45 42 25 15 11 3 0 0 0 1 25 118 237 260 307 370 422 472 494 502 526 564 588 619 620 516 354 216 123 70 50 44 42 51 47 31 16 6 2 0 1 5 5 2 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 0 0 0 0 0 1 17 24 59 202 434 612 710 752 778 819 882
99 105 109 109 109 112 117 123 126 124 121 117 111 108 102 97 92 92 95 92 87 93 108 123 135 142 142 142 143 139 129 124 123 124 131 142 146 137 123 111 101 93 85 79 75 70 61 49 35 20 11 11 22 46 76 91 83 101 143 262 414 383 154 45 28 24 19 14 9 2 0 0 0 9 59 206 360 431 486 521 542 595 630 687 738 760 761 770 789 658 408 220 109 60 50 48 48 57 51 39 27 18 13 10 10 12 10 5 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 13 33 75 192 402 587 683 722 749 793 850
105 111 116 120 122 122 120 120 117 114 112 111 112 116 116 107 91 81 76 77 83 92 104 118 133 142 144 145 148 151 146 141 139 136 138 145 152 152 147 132 112 99 90 83 79 78 72 58 43 26 14 10 17 39 72 96 91 105 140 258 383 359 180 72 30 27 23 14 7 2 0 0 0 27 123 208 311 430 533 582 609 706 780 871 919 916 899 899 886 724 400 206 96 57 53 54 56 57 52 44 39 34 29 24 20 16 13 11 8 6 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 2 16 75 203 381 548 657 701 729 767 797
106 111 117 122 123 119 114 110 109 105 99 101 105 109 111 106 94 82 72 69 73 82 92 102 114 128 136 141 147 150 148 148 150 149 150 154 160 164 163 150 125 108 97 88 88 92 88 74 55 37 22 14 15 31 60 89 101 116 145 275 393 353 204 96 43 31 26 13 4 0 0 0 2 15 68 123 201 337 486 591 660 785 912 964 1013 1028 1036 1051 1004 772 372 187 94 67 61 59 60 59 59 56 53 48 41 32 25 18 13 12 10 7 4 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 1 50 174 345 508 635 706 734 762 780
99 103 106 106 104 101 100 100 101 99 95 100 105 106 105 100 91 81 73 70 71 76 81 87 96 108 116 124 133 138 140 142 147 152 158 164 169 172 169 156 134 117 102 91 96 104 106 93 71 52 35 25 24 33 57 84 105 124 145 256 394 336 203 98 46 32 23 11 3 0 0 0 2 11 40 84 137 274 448 589 679 776 907 945 1022 1071 1081 1060 950 689 355 180 107 83 74 69 68 69 70 67 60 51 42 36 31 25 18 10 4 2 3 3 3 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 27 118 281 462 595 691 725 748 767
89 90 89 85 84 84 85 89 93 94 95 103 113 114 109 101 91 81 75 73 73 74 76 79 82 86 89 91 105 111 115 122 129 138 150 160 166 166 157 143 130 119 107 95 101 112 117 107 87 64 44 31 27 34 58 89 117 131 144 219 406 311 197 104 51 32 21 10 3 0 0 0 1 7 22 54 113 257 449 592 673 751 867 960 1020 1070 1028 893 705 499 316 201 144 112 98 86 80 80 79 74 62 47 40 40 40 34 24 12 3 4 6 5 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 13 79 227 401 517 634 680 704 723
84 81 78 74 75 76 79 86 93 96 100 108 119 126 123 111 98 87 79 76 74 71 71 72 73 74 74 72 77 80 84 92 101 110 121 131 137 139 134 128 123 118 109 99 98 107 115 113 99 76 53 38 31 35 57 96 135 141 161 268 390 297 197 114 60 32 17 7 1 0 0 0 0 2 11 44 128 279 451 524 611 749 893 963 978 1013 937 722 533 399 307 238 189 138 99 97 92 89 84 76 64 52 49 51 47 35 23 13 10 13 15 9 6 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 57 191 329 407 522 591 625 644
85 82 77 74 76 78 80 86 92 97 106 117 127 135 136 125 112 97 84 76 72 68 65 65 64 64 64 65 66 68 70 78 89 94 97 100 102 107 113 119 119 117 110 100 97 100 108 115 109 90 66 47 38 40 58 96 145 152 178 251 313 272 188 116 64 32 14 5 1 0 0 0 0 1 5 45 139 262 360 387 525 695 797 823 833 853 778 565 458 393 348 297 231 156 93 111 105 97 84 70 61 60 64 65 54 36 21 14 16 19 16 11 10 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 23 140 244 281 358 436 485 509
90 89 86 83 82 82 85 90 96 101 110 125 136 140 137 127 115 103 89 79 73 68 65 63 62 62 62 63 66 67 69 79 88 89 87 85 83 86 95 104 110 113 111 106 103 102 106 114 115 103 82 59 46 46 62 91 141 147 180 233 264 236 167 101 56 27 9 2 0 0 0 0 0 0 1 31 83 153 237 313 501 662 706 719 740 728 621 452 417 400 386 339 263 186 129 130 116 95 73 60 60 68 76 75 59 38 23 16 14 13 14 16 14 7 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 72 134 148 178 231 286 320
95 95 94 91 90 90 92 95 98 102 109 124 135 138 134 125 116 106 93 83 75 71 68 66 66 67 66 67 70 70 70 74 76 79 79 78 76 76 80 85 94 98 106 109 110 108 107 111 114 110 95 74 57 54 69 96 129 128 173 210 232 208 145 82 42 17 4 0 0 0 0 0 0 0 0 3 18 69 166 298 498 715 796 786 753 683 558 426 398 387 370 317 239 175 139 126 109 80 60 58 68 76 79 73 60 44 29 18 12 12 16 21 18 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 16 37 48 52 61 83 107
100 99 97 94 94 95 96 96 96 97 103 113 124 129 130 126 119 109 96 88 80 75 71 69 68 69 69 72 75 73 70 67 65 65 68 71 72 71 73 78 83 87 98 110 117 114 110 110 112 111 106 92 72 64 79 103 120 124 161 182 192 174 126 72 34 10 1 0 0 0 0 0 0 0 0 0 1 26 117 283 498 716 834 814 743 651 539 438 386 347 307 237 177 133 105 91 82 67 57 59 67 73 72 65 56 46 35 19 9 9 15 21 21 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 0 0 0 7 12 10 5 8 11
103 103 102 98 98 98 96 94 92 91 95 103 113 119 124 124 118 108 98 92 86 78 76 75 74 74 74 76 75 70 65 60 58 59 63 67 70 69 70 71 75 81 94 110 124 125 118 114 114 115 116 110 89 77 91 107 116 129 148 172 150 145 111 66 31 8 0 0 0 0 0 0 0 0 0 0 0 5 99 283 502 691 793 774 687 599 509 425 353 278 197 150 118 82 59 52 55 58 58 57 59 61 60 57 52 45 36 18 8 8 16 25 24 14 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 0 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 3 1 1 0
105 107 111 109 106 102 97 93 89 87 90 96 103 109 112 109 103 99 95 90 85 80 78 82 84 84 79 74 70 61 56 53 54 58 61 64 67 70 69 69 71 79 95 116 129 135 125 121 122 126 130 127 112 98 105 114 117 121 132 143 114 121 97 58 25 6 0 0 0 0 0 0 0 0 1 3 2 2 113 314 529 692 772 764 688 585 476 379 298 209 111 64 52 32 27 33 45 55 57 51 44 45 48 50 47 40 29 13 7 15 24 29 25 14 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
109 114 124 123 117 111 104 97 91 88 89 91 93 94 92 93 92 91 88 84 80 78 77 81 85 84 79 71 63 56 52 51 53 55 57 60 65 69 71 71 75 85 104 125 137 140 135 139 135 138 142 142 134 122 113 111 108 107 109 106 92 96 79 45 18 4 0 0 0 0 0 0 0 0 6 16 19 16 129 343 561 720 796 791 713 587 443 326 240 158 77 25 12 7 13 27 43 53 55 50 39 40 56 58 39 19 7 7 13 40 35 28 18 9 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
112 121 131 133 127 123 116 107 98 91 89 88 88 87 85 86 86 85 82 76 72 71 72 75 78 80 75 67 61 57 53 53 53 55 57 60 64 68 72 75 80 91 110 130 145 150 151 158 149 149 155 158 155 146 129 108 84 81 75 72 74 74 59 30 10 2 0 0 0 0 0 0 0 1 12 30 42 56 138 338 559 725 804 780 667 508 364 277 181 110 54 17 3 2 9 26 45 56 58 53 49 48 62 83 42 11 1 6 21 42 46 28 12 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 0 0 0 0 0 0 0
112 120 128 134 135 133 126 117 106 96 89 86 85 84 84 83 82 81 79 72 68 67 67 66 66 65 61 60 60 59 57 57 59 61 62 63 65 70 77 86 94 99 109 124 137 146 155 161 155 155 163 168 168 161 143 117 80 70 60 58 59 53 36 15 3 0 0 0 0 0 0 0 0 3 12 25 48 88 167 319 507 670 766 745 588 392 248 212 122 78 45 19 4 2 10 26 43 51 51 52 58 72 101 145 64 16 7 12 16 16 25 18 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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130 130 122 110 98 91 86 81 76 74 72 71 69 69 68 65 63 68 66 63 59 56 54 54 55 57 59 63 66 70 75 78 75 74 76 80 83 91 104 111 112 111 110 112 117 130 146 155 158 162 175 196 202 175 165 137 103 74 57 45 16 4 1 0 0 0 0 0 0 0 0 0 10 31 41 25 34 69 111 111 64 12 8 27 84 128 145 149 136 103 65 55 50 49 50 49 44 40 42 59 106 173 206 173 88 38 30 25 21 14 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 9 14 12 11 11 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
137 130 115 96 76 70 65 63 62 61 61 60 61 62 62 62 64 67 63 60 55 53 53 54 56 62 65 68 72 75 78 79 74 78 84 89 94 99 106 112 115 117 116 117 121 130 143 154 157 161 180 203 208 181 162 119 90 71 55 36 10 1 1 1 0 0 0 0 0 0 0 0 14 39 49 30 21 44 85 95 60 16 0 2 15 43 67 92 106 97 80 68 69 72 81 88 88 88 101 118 142 211 185 116 56 26 15 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 12 8 13 12 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 0 0 0 0
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135 113 90 73 61 53 46 45 45 47 49 54 57 60 62 63 64 61 57 56 55 55 56 57 61 68 78 85 89 84 81 78 74 70 74 88 100 105 108 114 124 132 133 142 151 164 161 157 166 190 211 213 200 171 127 86 67 54 36 18 12 8 4 2 6 15 19 9 3 6 6 2 8 35 41 34 38 66 108 125 87 49 19 5 11 29 40 76 91 128 164 183 188 187 196 182 112 64 38 22 9 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 4 5 4 3 1 1 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
121 97 73 65 55 47 42 41 45 49 52 56 60 63 63 63 63 60 57 55 55 56 56 59 64 73 82 87 87 83 79 76 74 77 85 96 104 108 111 118 130 137 142 163 184 194 184 180 189 205 215 206 186 160 119 82 62 50 39 22 26 18 6 1 1 3 3 5 15 19 13 4 7 29 40 38 34 49 82 111 105 65 24 5 2 24 58 78 75 99 141 169 183 192 194 159 54 23 13 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 7 6 3 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 0 0
109 86 68 57 48 42 39 41 47 53 56 59 61 62 62 62 61 61 59 58 57 57 57 61 69 79 85 88 86 83 80 76 79 83 90 95 99 101 105 116 135 154 171 194 220 228 208 203 221 239 241 223 190 161 121 77 57 48 36 25 26 15 4 0 0 1 3 9 30 32 19 8 13 34 51 47 38 41 63 97 114 87 22 4 1 24 52 62 54 55 108 156 177 180 163 107 20 15 18 10 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 2 3 5 4 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 0 0 0
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90 67 50 40 35 35 39 46 51 56 60 63 66 67 66 63 59 59 60 63 66 69 72 83 96 104 101 88 74 71 54 70 79 78 73 80 95 109 120 121 115 124 149 176 264 254 224 197 184 168 129 78 36 20 32 49 44 32 15 6 5 4 3 1 1 3 7 21 24 13 1 0 10 25 27 22 18 18 16 14 5 4 5 9 22 34 15 4 6 9 12 14 20 23 11 4 1 0 1 1 0 0 0 0 0 0 0 1 3 5 5 5 4 3 2 1 3 9 15 18 16 13 12 10 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
80 59 46 38 33 35 40 44 49 55 59 62 65 66 65 62 59 59 61 67 70 70 75 91 110 116 107 94 87 74 35 58 67 65 67 70 72 73 78 85 81 96 125 154 187 128 78 57 61 63 51 25 10 7 26 40 39 31 22 12 9 7 4 1 0 1 6 25 19 7 1 2 9 23 30 32 32 28 18 5 0 2 10 21 33 38 18 3 2 6 17 37 59 63 41 12 2 0 0 0 1 0 0 0 0 0 0 2 8 12 10 10 8 5 4 2 3 6 9 11 10 8 5 3 1 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
78 59 45 36 32 34 39 42 48 54 58 60 64 66 65 63 61 60 64 70 70 69 80 102 123 127 108 91 77 58 38 45 55 53 56 49 37 30 41 65 62 65 80 85 68 32 11 7 18 27 25 12 4 7 29 34 33 33 30 17 6 2 1 0 0 1 7 29 12 3 1 5 16 33 46 46 43 39 28 12 5 1 7 16 24 24 14 5 6 17 33 51 70 77 61 35 15 4 1 0 0 0 0 0 0 0 0 3 10 16 13 10 7 5 5 3 1 2 3 3 2 1 0 0 0 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 0 0 0 0 0 0 0 0
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