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 7 7 8 9 10 11 11 11 11 12 13 13 13 13 14 15 16 17 18 18 17 15 12 9 8 7 7 7 7 6 5 4 4 4 5 5 5 6 6 6 7 7 7 9 11 12 13 13 12 12 12 12 13 13 13 13 13 12 11 10 10 10 10 10 10 9 9 9 8 7 7 7 6 6 5 4 4 4 3 4 5 6 6 6 6 5 5 5 6 7 8 7 5 2 -1 -0 3 5 5 5 4 4 5 6 7 7 7 7 6 6 6 7 7 7 8 9 9 8 7 7 8 10 11 11 8 4 3 2 2 2 1 -0 -0 1 3 6 8 9 9 8 8 8 8 7 5 4 4 4 4 6 9 12 14 11 7 4 3 1 -1 -1 2 7 11 9 6 3 4 7 10 10 8 6 8 9 10 9 9 10 11 13 14 16 19 20 19 17 14 11 9 nan
nan 7 7 7 7 8 8 8 8 8 9 10 11 12 12 13 14 16 17 19 19 19 18 16 13 10 8 7 7 6 6 5 4 4 5 5 6 6 6 6 6 6 6 6 8 10 11 12 11 10 9 9 10 11 11 12 12 12 11 11 9 9 9 9 10 10 9 9 8 8 8 8 8 9 9 8 7 7 7 6 6 6 6 7 7 7 6 5 5 5 6 6 7 7 6 5 5 6 7 6 6 5 5 6 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 8 7 8 10 12 12 10 6 3 1 2 2 1 0 0 1 3 5 6 7 8 9 9 8 7 5 4 4 4 4 5 6 8 10 11 10 8 6 5 4 3 4 5 9 11 9 6 5 6 8 10 9 6 5 6 8 9 9 8 8 9 10 11 13 14 14 13 12 10 8 7 nan
nan 8 7 7 7 7 7 7 7 6 7 8 8 9 10 10 11 13 15 17 19 21 21 19 17 13 10 8 7 7 6 5 4 4 5 5 6 6 6 7 6 6 5 6 7 9 10 10 9 8 8 7 8 9 9 10 10 10 10 9 8 8 9 9 9 9 8 8 8 8 9 9 9 11 13 14 13 12 11 9 8 7 6 7 7 7 7 6 6 5 5 6 7 9 11 11 11 10 9 8 7 7 8 9 8 8 7 6 7 8 8 8 7 6 6 6 7 8 8 8 8 9 10 11 12 13 10 5 2 2 3 2 1 1 2 3 3 5 6 7 8 7 7 6 5 5 5 5 5 6 7 8 8 9 10 10 9 9 10 10 9 9 10 11 10 7 6 7 9 9 8 6 4 4 5 6 7 7 7 7 7 8 9 9 8 8 7 7 7 7 nan
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nan 8 9 8 8 7 6 6 5 5 6 9 10 11 11 10 9 8 6 7 9 12 13 13 12 10 7 4 2 1 -0 -0 1 2 3 4 5 7 10 12 13 12 12 12 12 10 6 4 6 7 5 4 5 7 8 7 7 6 6 5 4 2 1 -0 1 6 11 13 10 9 12 15 14 10 5 4 5 6 5 4 5 6 8 9 10 11 13 14 14 14 14 15 15 14 12 10 9 9 11 14 15 13 9 5 5 6 8 10 9 9 8 9 11 13 14 13 11 10 12 14 16 18 18 15 8 2 3 7 9 9 9 9 9 8 8 9 11 13 11 7 4 3 2 2 1 0 1 3 5 5 7 9 10 9 7 5 7 11 12 11 9 6 7 9 10 11 8 5 5 6 7 8 9 10 11 11 11 11 11 11 10 9 8 7 6 7 7 7 7 8 nan
nan 9 10 9 7 5 5 6 6 7 8 9 10 11 11 10 9 7 7 8 10 11 12 12 11 9 7 4 3 2 2 3 4 7 8 9 9 9 11 14 15 14 13 12 11 10 8 7 8 8 6 5 4 5 7 7 6 5 4 4 2 1 -1 -1 2 8 13 12 9 7 11 15 15 11 6 5 6 6 4 3 5 7 8 8 8 9 11 13 14 16 17 18 16 12 9 9 10 12 12 14 15 14 10 7 5 6 8 8 8 7 6 7 8 11 14 15 14 12 11 11 13 16 18 16 11 7 10 16 16 12 6 2 -1 -1 0 5 11 15 15 12 7 3 -0 -2 -3 -1 1 3 5 6 8 10 12 12 11 10 9 9 9 8 6 3 2 5 8 9 8 6 6 6 7 7 8 9 10 10 10 10 10 10 9 8 7 6 6 7 7 7 8 8 nan
nan 8 9 8 6 4 4 6 8 10 11 11 11 10 9 8 6 5 6 8 10 11 11 11 9 7 5 4 3 5 5 5 6 7 10 11 11 10 12 14 15 14 12 10 10 11 11 12 12 11 8 7 7 7 7 8 7 5 3 2 -0 -2 -1 1 6 11 14 11 8 7 11 15 15 11 6 5 7 6 4 4 6 9 10 9 7 7 8 11 14 16 18 19 18 15 13 14 15 14 12 12 12 11 8 5 3 4 5 6 7 7 7 7 8 11 14 17 17 12 8 5 6 10 15 17 17 17 20 24 21 13 5 0 -3 -3 -3 1 5 9 12 11 8 6 4 4 4 5 7 7 7 8 8 9 11 12 13 13 11 9 9 8 6 4 3 6 9 10 9 8 7 7 8 8 8 9 9 9 9 9 9 9 8 7 6 6 6 7 7 7 7 8 nan
nan 7 7 5 4 4 4 6 9 11 13 12 11 9 7 5 4 4 6 9 11 12 11 10 8 5 4 3 5 7 8 7 5 6 8 10 11 11 13 15 14 13 11 9 7 7 8 9 10 11 11 10 8 8 8 8 8 5 3 -0 -3 -3 -0 4 9 12 12 9 8 9 12 14 13 9 5 4 5 4 3 4 6 9 11 11 8 6 7 9 12 14 17 18 18 17 16 16 15 14 12 11 11 10 7 4 1 0 2 5 7 8 8 8 10 13 16 17 17 12 5 2 1 4 10 16 19 20 21 21 17 13 9 7 6 5 4 3 4 6 7 8 8 8 10 11 12 12 10 9 8 7 7 7 10 13 15 15 14 13 12 11 10 9 9 10 11 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 7 6 6 6 7 7 7 7 7 7 nan
nan 7 5 3 2 2 3 5 8 11 13 13 11 8 6 4 4 5 9 12 14 13 11 9 7 6 6 6 7 9 10 8 6 5 6 9 10 12 13 15 14 13 11 8 6 4 3 4 8 11 13 12 11 10 9 10 9 7 4 0 -2 -2 1 6 10 11 10 8 8 9 11 13 12 8 3 2 2 1 0 1 3 7 11 12 9 5 5 7 10 12 14 16 17 16 15 13 12 11 11 12 12 11 8 4 0 -1 1 4 6 8 8 9 11 14 15 16 15 11 5 1 -0 2 7 14 17 17 15 12 10 10 11 13 15 15 14 11 9 8 8 8 9 10 12 12 12 10 8 7 6 5 5 6 10 14 15 16 16 15 15 15 15 15 13 12 11 11 11 11 11 11 11 10 9 8 8 8 8 8 7 7 6 6 6 7 7 7 7 7 7 7 nan
nan 7 5 2 1 1 2 4 6 10 12 13 11 8 6 5 6 8 13 15 15 13 10 8 7 8 8 8 9 10 11 10 8 7 7 9 10 12 13 14 14 13 11 9 6 3 1 4 8 12 14 13 12 12 11 10 9 8 7 5 3 1 3 7 9 10 10 9 8 8 9 10 9 6 3 1 -1 -3 -4 -4 -1 4 8 11 9 4 3 5 7 10 12 14 15 16 15 13 11 10 10 11 13 13 10 7 3 -0 -1 2 5 8 10 10 12 13 13 13 13 11 7 3 2 2 5 10 14 13 11 7 5 5 9 13 16 18 18 17 14 12 11 11 12 12 11 10 8 7 6 5 5 4 4 5 9 13 14 15 15 16 16 17 17 16 12 10 10 10 10 11 12 12 12 11 10 9 8 8 8 7 7 7 6 7 7 8 8 8 8 8 7 7 nan
nan 7 5 3 2 2 2 4 7 10 13 13 11 10 9 8 8 11 13 15 15 13 11 9 8 8 8 7 7 9 11 11 10 10 10 10 11 13 14 15 15 13 10 7 5 2 2 5 9 11 12 11 11 11 10 8 7 9 10 10 8 6 5 6 9 10 12 12 10 9 8 8 8 6 3 -0 -2 -3 -4 -3 -1 1 4 7 7 5 3 4 6 8 11 14 16 16 16 16 13 10 10 11 13 15 15 11 6 2 -1 1 6 10 12 13 13 12 11 10 11 11 9 6 4 4 4 5 8 9 8 5 2 2 4 8 11 14 17 17 14 12 11 11 12 11 11 10 9 9 8 7 7 6 5 5 7 9 10 12 14 15 17 19 17 14 11 9 8 9 10 11 12 13 13 12 11 9 9 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 nan
nan 7 6 6 6 5 5 6 9 11 14 14 12 11 11 11 11 12 12 12 12 12 11 9 8 7 7 6 6 8 9 11 11 11 11 12 13 15 18 18 16 13 9 6 4 3 3 6 9 10 9 8 8 7 7 6 6 9 11 12 10 9 7 7 9 12 14 14 13 11 10 9 8 7 4 1 1 2 3 3 2 2 4 6 8 7 5 5 6 8 11 13 15 16 16 15 13 11 9 10 12 15 17 15 8 2 1 3 10 15 16 15 13 11 9 9 9 10 9 7 6 6 5 4 4 5 6 5 4 2 2 3 5 9 12 13 12 9 7 6 7 8 10 12 12 11 10 9 9 9 8 6 5 6 7 9 11 14 16 18 17 14 11 9 8 9 9 10 11 12 12 12 11 10 9 8 7 7 7 7 7 8 8 9 9 9 9 9 8 8 nan
nan 7 6 7 8 8 8 9 11 13 15 15 13 12 13 13 14 13 12 11 10 10 9 8 7 6 6 6 7 8 9 9 10 10 11 12 14 16 19 21 19 16 12 10 8 8 8 10 11 11 9 7 6 5 5 5 7 9 11 10 9 8 8 10 11 13 14 14 13 12 10 9 9 8 6 4 5 8 10 9 6 5 6 9 11 10 7 5 5 7 10 12 13 13 12 11 10 10 8 7 8 11 14 14 8 4 3 6 12 17 17 14 11 10 8 8 8 8 8 7 7 8 8 8 7 6 6 6 6 6 4 2 3 5 7 7 6 4 2 1 3 6 9 12 12 11 10 9 10 10 9 7 6 5 6 7 9 10 13 16 17 15 13 11 9 8 9 10 10 11 11 12 12 11 10 9 8 8 7 7 7 8 8 8 9 9 9 9 9 9 nan
nan 6 5 6 7 8 9 10 11 13 15 15 15 14 14 14 14 12 11 10 9 8 8 7 7 6 5 6 7 8 9 10 10 10 10 11 13 15 18 21 21 20 18 15 14 16 17 17 16 14 11 9 8 7 7 8 9 9 9 8 6 6 9 12 12 12 12 11 10 9 9 9 9 9 8 8 9 10 10 8 6 5 7 12 14 12 8 5 4 6 8 10 10 9 8 8 8 9 7 5 4 6 10 11 10 7 6 7 10 13 12 9 6 5 4 5 7 8 8 8 9 11 13 13 11 9 9 9 10 9 7 5 5 4 5 4 3 1 0 1 2 4 7 9 10 10 9 9 10 10 9 8 7 7 6 7 8 9 12 14 15 15 13 11 9 8 9 10 10 10 11 11 12 12 11 10 9 8 8 8 8 8 8 8 8 9 9 10 10 9 nan
nan 5 3 3 4 6 8 9 11 13 14 16 16 15 14 13 11 10 10 10 9 8 7 6 5 4 4 4 5 7 8 10 12 12 12 11 12 14 16 18 21 21 19 17 15 17 20 22 21 18 15 13 12 11 11 11 10 9 8 7 7 8 10 11 10 9 9 9 8 8 8 9 9 8 8 9 9 10 9 6 3 1 4 9 13 13 10 6 4 5 7 8 8 7 6 7 8 9 8 6 6 8 10 11 11 10 8 6 6 7 6 3 2 1 1 3 6 8 9 10 12 15 17 16 14 13 12 13 12 11 10 10 9 8 7 6 5 5 3 3 3 4 6 8 10 10 10 11 11 11 10 10 9 7 6 6 8 12 14 15 13 12 11 9 8 8 9 10 10 10 10 11 12 12 12 10 9 9 8 8 8 8 8 9 9 9 9 10 10 10 nan
nan 3 0 0 2 4 6 9 11 12 14 16 16 15 12 10 8 8 9 11 10 8 6 5 3 2 2 4 7 8 10 12 13 14 12 10 10 12 14 16 18 17 15 13 11 12 17 20 20 18 16 14 14 13 13 12 11 9 9 9 10 10 9 7 6 5 6 7 7 7 7 7 8 8 8 8 9 9 8 5 2 -0 1 6 10 12 11 9 7 7 8 9 8 7 6 7 9 10 10 9 10 12 13 13 12 11 9 6 5 5 4 3 3 3 3 3 5 9 12 15 18 19 19 17 15 14 15 15 14 12 12 12 12 10 9 9 9 8 6 5 6 8 10 12 12 11 12 12 12 11 11 10 9 7 5 5 8 11 11 11 10 10 9 8 8 8 9 10 10 10 11 11 12 12 11 11 10 9 9 9 9 9 9 9 9 9 10 10 11 11 nan
nan 3 -1 -1 1 4 7 9 10 12 14 16 15 13 9 6 6 7 9 11 9 7 5 4 4 5 6 9 11 13 13 13 14 13 11 9 9 10 12 14 15 14 12 10 9 11 13 14 15 14 14 13 13 12 12 11 10 9 9 10 11 11 9 7 5 4 5 6 7 6 6 6 7 8 8 7 8 8 8 7 5 4 4 6 9 12 13 13 12 10 10 10 10 9 7 7 8 11 13 13 12 13 13 12 11 10 9 8 7 7 8 9 10 10 9 9 9 11 15 19 21 21 18 15 12 11 12 13 13 12 12 12 11 10 9 9 8 7 7 8 10 13 15 16 14 12 11 12 11 10 9 8 7 7 7 8 9 8 8 8 9 11 10 8 8 8 9 10 11 11 12 12 12 11 11 10 10 9 9 9 9 9 9 9 9 10 10 10 11 11 nan
nan 6 3 2 4 6 8 10 11 12 14 15 14 11 7 4 5 7 9 10 8 6 5 6 8 10 13 15 15 15 14 13 12 11 11 10 10 10 11 11 12 11 10 10 10 12 13 11 10 11 11 12 12 11 10 9 9 9 9 10 11 11 10 8 6 5 5 6 7 8 8 9 9 9 8 8 8 8 8 8 8 8 9 9 9 12 14 15 15 13 11 10 9 8 6 5 5 9 13 16 16 15 14 12 10 8 8 7 8 10 13 15 17 18 17 15 14 13 14 16 17 17 16 12 9 6 6 7 9 10 10 10 9 9 8 7 7 8 11 14 15 16 16 15 13 11 9 9 8 7 6 6 6 7 9 11 11 11 10 11 12 13 11 9 9 9 11 12 13 13 13 13 13 12 11 11 10 9 9 9 9 9 9 9 9 10 10 10 10 10 nan
nan 8 8 7 9 10 11 12 12 13 14 14 12 9 6 4 5 7 9 9 8 6 6 8 11 14 16 15 14 14 12 11 10 9 11 11 11 11 10 9 8 8 9 10 11 13 13 11 9 9 10 12 13 12 11 10 9 10 10 10 10 10 9 8 6 5 5 6 7 8 10 12 11 9 9 9 9 9 8 9 10 11 11 11 11 12 14 16 15 13 10 8 7 5 4 2 2 4 11 16 17 15 14 12 9 6 4 5 7 10 13 17 20 21 20 17 14 10 8 8 10 12 13 12 9 5 4 4 6 7 8 9 9 9 9 8 9 12 16 19 18 16 14 13 11 9 6 5 4 4 3 3 3 6 9 12 12 13 13 13 14 14 13 11 11 12 13 15 16 16 15 14 13 12 12 11 11 10 9 9 9 9 9 9 9 10 10 10 10 9 nan
nan 6 8 10 12 14 14 13 13 12 12 13 11 9 7 6 6 6 8 8 7 6 7 9 12 14 14 12 12 12 11 10 8 7 8 10 10 10 9 8 7 7 8 9 10 12 11 10 8 7 8 11 12 13 13 14 13 13 11 10 9 9 9 8 7 6 5 4 3 4 6 9 11 9 8 8 9 8 8 9 10 12 13 12 12 12 13 14 12 9 6 5 4 3 3 2 2 2 5 9 11 12 12 10 7 4 2 1 3 6 10 14 16 16 15 12 10 7 3 -0 1 5 9 13 13 9 7 6 7 8 9 10 10 11 11 11 12 15 17 18 17 14 11 9 8 7 6 5 5 5 3 1 1 4 8 10 10 10 11 11 12 13 13 13 13 14 16 17 18 17 15 14 13 12 12 12 11 11 9 9 8 9 9 9 10 10 10 10 10 9 nan
nan 5 7 10 12 13 14 13 12 11 13 14 13 10 8 7 7 6 7 8 7 6 7 8 10 12 12 11 11 12 12 10 8 6 5 6 6 6 6 6 7 7 8 8 9 9 9 8 6 6 6 7 9 12 15 17 18 16 14 11 9 9 10 11 11 9 7 5 3 1 1 4 8 9 8 7 7 7 7 8 10 12 13 13 13 12 12 12 10 7 5 4 4 4 5 5 5 3 2 2 4 7 9 8 4 2 1 -0 1 3 5 7 9 9 9 8 8 7 4 -1 -3 0 6 12 15 13 10 9 9 11 12 12 12 11 11 11 10 10 11 11 11 10 7 5 5 6 7 9 10 9 5 2 0 3 6 7 6 6 6 7 9 10 12 12 13 14 15 16 17 17 15 14 13 13 13 13 12 11 10 9 8 9 9 9 10 10 10 10 10 10 nan
nan 8 9 10 11 12 12 12 14 15 18 19 17 14 12 10 8 6 6 7 8 7 7 8 9 9 10 10 11 11 11 10 9 7 6 5 5 5 5 6 7 8 9 9 9 9 8 7 6 5 5 6 9 12 16 18 19 17 15 13 11 10 10 12 13 12 11 10 8 5 2 2 6 9 9 8 7 6 6 7 10 12 14 14 13 12 11 10 9 7 6 6 6 8 10 10 9 6 3 4 6 7 7 6 3 1 1 2 2 1 0 2 5 7 7 7 8 9 8 5 2 2 5 9 13 12 10 10 11 12 13 14 13 12 11 10 7 5 4 4 5 5 4 2 3 5 8 11 12 10 6 2 2 3 4 4 3 1 1 3 5 7 9 10 10 11 12 13 15 15 14 13 13 12 13 13 13 12 11 10 9 9 9 9 9 9 10 10 10 10 nan
nan 9 10 10 11 11 11 11 14 18 22 22 20 17 15 14 12 9 7 7 7 8 8 8 8 8 8 9 9 10 10 10 9 9 9 9 9 7 6 6 7 9 10 11 11 10 9 7 6 6 7 9 12 16 17 17 16 15 14 13 11 9 8 8 10 12 15 17 17 13 7 4 6 9 11 10 8 7 7 9 11 13 14 15 15 13 10 8 7 8 8 10 11 14 16 15 12 9 8 10 11 10 9 6 4 3 3 4 6 5 4 4 6 7 8 8 9 10 10 9 8 8 8 9 10 9 8 8 9 11 12 13 13 13 12 10 7 4 2 1 2 3 2 2 3 6 9 11 13 10 5 3 3 3 3 1 -1 -2 -2 2 5 7 8 8 8 8 9 11 12 13 13 12 12 11 11 12 12 12 12 11 11 10 10 10 10 9 9 9 9 9 nan
nan 6 7 9 11 11 11 10 11 14 18 18 16 14 15 17 17 15 11 7 6 7 7 7 7 6 7 8 9 9 9 9 9 10 11 12 12 10 8 8 8 10 11 12 13 13 11 10 9 9 10 12 16 19 18 15 12 11 11 11 10 8 6 5 6 10 15 20 23 21 13 8 7 8 10 10 9 9 10 11 12 13 13 14 15 14 11 9 8 9 11 13 15 17 18 17 14 12 11 12 13 11 10 8 7 8 8 8 10 11 11 10 8 8 8 9 9 9 10 11 11 10 10 10 8 7 6 7 8 9 10 11 12 13 13 12 10 7 5 4 3 3 3 4 6 8 10 11 11 8 5 4 5 4 2 -0 -2 -3 -1 3 5 7 7 7 7 7 8 9 10 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 10 10 9 9 9 9 nan
nan 4 4 7 10 11 10 9 8 8 9 9 9 9 11 15 18 19 16 11 7 6 7 7 7 6 6 6 8 8 9 9 9 9 10 11 12 11 9 9 9 10 11 12 14 14 14 13 13 13 13 15 17 18 16 12 10 10 10 10 9 7 6 5 5 8 13 19 24 25 21 15 11 8 7 8 8 9 10 11 11 11 11 12 13 14 12 10 10 12 13 15 16 16 15 14 11 10 10 10 11 10 9 8 9 11 11 10 10 11 12 12 10 9 9 10 10 11 12 12 12 10 10 10 8 6 6 6 8 9 9 10 10 12 13 14 13 11 9 6 4 4 5 7 9 11 11 10 8 7 7 8 8 6 3 1 -2 -3 -1 2 5 6 7 7 7 7 7 8 9 10 10 10 10 10 9 9 9 9 9 10 10 11 11 11 11 10 10 10 10 10 nan
nan 7 5 6 8 9 9 9 8 7 6 5 5 6 8 12 16 18 17 14 10 8 7 8 8 7 6 6 7 8 9 9 9 9 9 11 12 11 9 8 8 8 9 11 14 15 15 14 14 15 15 16 16 15 13 11 11 11 11 10 8 6 6 6 7 8 11 15 20 23 23 19 14 9 6 6 6 7 8 8 8 9 10 11 13 13 12 12 13 14 15 15 15 13 11 10 9 9 9 9 10 9 7 6 8 10 11 10 9 9 10 12 13 11 10 10 10 11 12 13 12 9 9 10 8 7 7 7 9 9 9 9 10 11 13 14 15 14 11 6 3 3 6 9 12 13 11 7 4 5 8 10 11 11 8 5 2 -0 -1 1 4 6 7 8 8 8 8 8 9 9 10 10 11 11 11 10 9 9 9 9 9 10 10 11 11 11 11 11 11 11 nan
nan 11 8 6 6 6 7 8 8 8 6 5 4 5 8 11 13 15 15 13 11 9 8 8 8 7 6 6 7 8 8 9 9 9 9 11 11 9 7 6 5 6 7 10 14 16 15 14 13 13 14 15 15 13 12 11 10 11 11 10 8 6 6 7 8 9 11 13 15 17 18 16 13 10 7 6 6 5 5 6 8 10 13 14 14 14 13 13 15 16 17 16 14 11 10 9 10 11 11 10 9 7 5 4 6 9 11 12 12 11 12 13 13 12 10 9 9 9 11 12 12 10 8 8 8 7 7 7 8 9 10 10 10 11 11 12 13 12 10 6 3 4 8 12 14 13 8 3 1 3 7 11 14 15 14 10 6 3 2 2 4 6 8 10 10 10 10 10 9 10 10 10 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 nan
nan 11 9 6 5 5 6 6 6 5 5 4 4 4 6 8 11 12 12 11 10 9 9 8 8 7 7 7 7 8 8 8 9 9 9 9 9 8 6 4 4 6 7 10 15 16 15 13 11 11 11 12 12 11 10 9 9 10 11 11 9 6 5 6 8 9 11 11 11 10 9 9 8 8 8 8 8 6 6 9 11 14 17 17 16 14 13 13 14 15 16 15 12 10 10 12 13 13 11 9 7 6 5 4 6 9 11 12 13 12 12 12 11 10 9 8 8 8 10 12 13 12 10 9 7 7 6 6 7 9 11 11 11 11 11 11 10 10 8 5 4 6 10 13 14 10 4 0 1 3 6 10 14 16 16 12 9 7 5 5 5 7 9 11 12 12 11 11 10 10 10 10 10 11 12 12 12 12 11 11 11 11 12 12 12 12 11 11 10 10 nan
nan 9 8 7 6 6 7 7 5 4 3 4 4 4 5 7 9 11 11 9 9 9 9 8 7 7 7 8 7 8 8 9 9 9 8 8 7 7 5 5 7 9 12 14 15 16 15 13 10 8 8 9 9 9 8 8 9 10 12 11 10 7 5 5 6 8 9 9 8 6 5 4 5 6 8 9 10 10 10 12 14 16 16 16 14 12 11 11 12 13 14 13 12 11 11 13 14 14 12 10 8 7 6 7 8 10 10 11 10 10 10 9 9 9 9 8 8 9 10 11 12 12 11 10 8 7 6 6 6 7 10 11 11 11 11 10 9 7 6 5 5 7 10 12 11 6 1 -0 2 5 7 11 13 15 14 11 9 8 8 8 8 8 9 10 11 12 12 11 11 10 10 10 10 11 12 13 13 13 13 12 11 12 13 13 12 11 10 9 8 8 nan
nan 8 7 8 8 9 10 10 9 8 6 6 6 6 6 7 9 10 9 8 8 9 9 9 8 7 8 8 9 10 10 10 10 9 8 8 8 8 7 8 10 14 18 17 14 14 15 13 11 8 6 5 6 6 7 8 10 12 14 14 12 9 7 6 6 6 6 6 6 4 3 4 5 6 7 9 10 11 12 13 13 13 12 10 9 8 8 9 10 12 13 13 12 11 12 14 16 16 15 14 12 10 9 9 10 10 10 10 9 9 8 8 8 8 8 8 9 9 10 10 10 10 10 10 9 8 7 6 6 6 8 9 10 11 11 10 8 6 6 5 5 7 8 9 8 5 2 2 3 5 8 11 12 12 10 8 8 8 9 9 9 9 10 10 11 11 11 11 11 10 10 10 10 11 12 13 14 14 13 12 11 11 12 12 12 10 9 7 7 7 nan
nan 8 6 7 9 12 13 14 14 14 13 10 9 8 8 8 8 8 8 8 9 10 11 11 10 8 8 8 9 10 11 11 9 8 8 8 9 10 10 10 12 16 19 17 11 10 12 13 13 10 6 4 3 4 6 9 12 15 17 17 15 12 9 7 5 4 4 3 3 4 4 5 7 8 9 9 9 10 11 12 11 9 8 6 5 5 5 7 8 11 13 13 11 10 11 13 16 17 17 16 15 12 11 11 11 11 11 11 10 9 9 9 8 8 8 8 9 9 10 10 9 9 9 9 8 8 8 7 7 7 7 7 8 9 10 9 7 6 6 6 6 6 6 7 6 5 5 5 6 6 7 8 8 6 4 4 5 6 8 9 10 10 10 10 11 11 11 11 10 10 10 10 10 11 12 13 14 13 12 10 10 10 11 11 10 9 8 6 6 7 nan
nan 8 6 5 7 11 14 16 17 17 16 13 11 10 9 8 8 8 9 10 10 11 11 11 10 8 7 7 8 8 9 9 8 7 8 8 9 10 10 10 12 15 17 14 9 6 8 11 12 11 7 3 2 2 4 8 12 16 18 19 16 13 11 8 6 4 2 1 2 4 6 8 9 10 10 10 9 10 10 11 11 9 7 5 4 4 4 4 6 9 12 13 12 9 9 11 14 15 15 14 13 11 11 12 12 13 13 12 11 10 10 9 9 9 8 8 9 9 10 10 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 8 8 7 6 3 1 0 1 3 4 6 8 9 9 9 10 11 12 12 11 10 9 9 9 9 10 12 12 11 10 9 9 10 10 10 10 9 8 7 7 7 7 nan
nan 7 5 4 5 9 13 15 16 16 14 12 10 8 8 7 7 8 10 10 10 10 10 10 10 8 7 7 7 6 6 6 6 7 8 8 9 9 9 9 10 11 13 11 7 5 6 9 11 10 8 4 2 3 4 7 11 15 18 17 15 12 10 8 7 5 2 0 2 5 8 10 12 12 12 12 10 9 10 11 12 11 9 6 5 4 3 2 3 6 10 14 13 10 8 10 12 14 14 12 10 9 11 12 14 13 12 11 10 9 8 9 9 9 8 7 8 9 10 10 9 8 7 7 7 7 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 5 5 6 7 7 8 7 5 3 2 1 2 3 4 6 8 9 9 9 9 10 10 11 11 10 9 8 8 9 10 10 10 9 8 9 10 11 11 10 10 9 8 7 7 7 7 nan
nan 5 5 5 6 8 11 12 13 12 10 9 8 7 6 6 7 9 10 10 9 8 8 10 10 9 8 8 8 6 5 5 6 8 9 9 9 8 9 9 9 9 9 7 6 5 6 8 9 8 6 5 4 5 6 8 11 14 15 14 12 10 9 8 7 6 4 3 3 5 8 11 14 15 15 12 9 8 8 9 10 11 10 8 6 5 4 3 3 5 8 12 13 11 10 10 12 14 15 13 10 9 11 13 13 12 9 7 6 6 6 8 9 9 9 7 7 8 8 8 8 7 6 6 6 7 8 8 9 8 8 8 8 8 8 7 7 7 6 6 6 6 6 5 5 4 5 5 5 6 6 5 4 4 4 4 5 7 9 11 12 11 11 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 10 11 12 12 11 10 9 8 7 7 7 7 nan
nan 7 7 7 7 7 8 9 9 9 9 8 8 7 7 7 7 8 8 8 7 6 7 9 10 9 7 7 7 7 6 6 7 9 10 10 10 10 11 11 10 8 6 5 4 5 6 7 7 7 6 5 6 7 9 11 13 14 13 12 10 9 9 8 8 8 7 7 7 7 8 10 14 17 17 13 8 6 5 6 8 9 10 8 7 7 7 6 5 5 5 8 10 10 9 10 12 15 16 15 12 11 12 13 12 10 6 4 3 3 4 6 8 9 9 8 7 7 7 7 7 6 5 4 5 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 5 5 5 5 5 6 6 5 4 5 6 8 10 12 15 16 16 15 13 11 9 8 8 8 9 9 9 9 9 10 10 10 10 11 11 12 12 12 11 10 9 8 7 7 7 7 nan
nan 10 10 10 10 8 7 7 8 8 10 10 10 9 9 9 8 8 8 8 7 6 6 7 8 7 5 5 6 7 7 7 8 10 11 11 12 13 14 14 13 9 6 4 3 4 5 6 6 6 6 6 8 10 12 14 15 14 12 11 10 10 10 9 8 8 8 9 9 8 8 9 12 15 16 11 7 5 5 7 8 9 9 8 8 10 11 11 9 6 4 4 5 6 7 9 11 14 15 14 12 12 13 13 11 9 5 2 2 3 4 5 7 8 8 7 6 7 8 9 8 7 5 4 4 5 7 8 9 10 11 10 10 9 8 8 9 9 10 11 11 11 10 9 7 6 6 6 6 6 6 5 4 6 8 11 14 17 19 19 17 16 14 12 10 9 8 9 9 9 9 10 11 12 12 12 12 12 12 12 12 12 11 10 9 8 8 7 7 7 nan
nan 11 13 14 14 13 10 9 8 8 9 9 9 10 10 10 10 10 10 9 9 7 5 4 3 3 3 4 5 6 7 7 9 10 10 10 11 15 17 18 16 12 7 4 2 3 4 5 6 6 7 8 9 12 14 16 16 14 12 12 12 12 11 10 9 8 8 7 7 7 7 7 9 11 11 8 5 4 5 8 10 10 9 8 10 12 13 13 10 8 5 4 3 4 5 6 8 10 11 12 12 12 12 12 10 8 6 4 3 3 4 5 6 7 6 6 6 7 9 11 10 9 7 6 6 8 11 13 14 15 16 15 14 12 10 9 10 10 10 11 12 13 12 11 10 9 8 7 7 6 6 5 6 7 9 11 14 16 18 17 15 13 11 10 10 10 10 10 10 10 11 11 12 13 13 13 13 12 12 12 12 11 11 10 9 8 8 8 8 8 nan
nan 10 13 16 17 17 14 10 7 6 7 9 9 10 11 12 12 12 12 11 9 7 5 2 -0 -1 1 3 5 6 6 8 10 10 8 7 8 13 17 20 20 15 10 6 4 3 4 5 6 7 8 9 11 13 14 15 13 12 12 12 13 12 12 11 10 9 7 6 6 6 7 8 8 8 7 5 4 4 5 7 9 9 8 8 11 12 13 12 10 9 7 5 4 4 4 5 6 7 9 11 13 13 12 11 10 8 7 6 4 4 4 5 6 7 7 6 7 7 9 10 10 10 8 8 10 15 18 21 23 23 22 20 18 15 13 11 10 10 10 10 11 12 12 12 11 10 10 9 7 6 6 6 7 9 9 9 11 13 14 13 11 10 8 8 9 10 10 11 11 11 11 12 12 13 13 13 12 12 12 11 11 10 10 10 9 9 9 9 9 9 nan
nan 8 11 15 18 17 15 11 7 5 5 8 9 10 10 12 13 13 13 11 9 7 5 2 -0 -1 2 4 6 6 7 8 11 10 6 3 3 7 12 16 18 17 14 11 8 6 6 6 7 7 8 8 10 11 12 11 9 8 9 10 11 12 12 11 11 9 7 6 6 7 9 9 10 9 8 7 6 6 6 7 8 9 9 10 11 12 11 10 9 9 8 7 6 6 5 5 6 8 10 13 14 14 13 12 10 8 8 7 6 5 5 6 8 10 10 9 8 7 6 7 8 8 8 10 14 20 24 27 29 28 26 23 20 17 15 14 12 10 8 8 9 10 11 11 11 11 11 9 7 5 4 5 6 8 9 10 12 13 13 12 10 7 6 6 7 9 10 10 11 11 11 12 13 13 14 13 13 12 12 11 10 10 10 10 9 9 9 10 10 11 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
97 100 103 108 116 119 123 127 128 130 126 116 107 102 109 123 139 149 154 154 146 135 116 103 95 82 78 84 90 97 103 98 90 86 83 81 82 86 86 73 53 22 11 8 11 18 25 28 34 39 44 50 54 56 58 59 59 54 50 55 60 69 73 71 66 61 44 19 12 12 14 15 16 16 9 0 0 0 2 4 2 3 4 1 9 19 50 101 156 208 262 299 286 217 157 136 110 62 17 0 0 0 0 0 0 0 0 0 0 0 0 0 2 11 22 39 58 71 74 65 43 15 0 0 0 1 4 5 10 18 16 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 12 85 178 243 271 290 351 537 707 703 677 681 660 519 335 247 180 141 79 27 17 65 190 353 471 512 517 514
88 90 92 97 103 111 119 127 126 129 127 125 121 115 116 121 130 144 156 166 172 168 150 124 111 95 85 87 92 96 99 97 89 80 73 68 71 81 87 79 58 28 17 14 16 17 20 25 34 40 45 50 50 48 49 54 58 55 52 61 65 70 72 73 72 65 48 16 5 5 5 5 5 4 3 1 1 5 13 13 6 6 7 6 12 19 36 78 131 186 238 269 259 203 146 129 120 91 37 6 0 0 0 0 0 0 0 0 0 0 0 1 7 19 35 54 67 75 83 83 59 20 0 0 0 3 7 4 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 0 0 0 0 0 0 0 34 161 353 482 425 247 164 254 483 558 635 675 705 671 568 480 444 389 316 184 180 292 431 533 580 595 601 591
83 84 82 81 84 90 97 103 96 90 94 104 111 117 121 120 122 134 151 169 188 202 193 164 144 129 100 92 95 97 98 100 96 85 72 64 67 78 84 78 64 48 24 16 20 23 26 31 35 38 40 41 43 44 46 49 53 56 62 71 73 68 73 74 82 75 46 13 3 3 3 3 3 2 2 2 6 17 30 24 12 11 12 12 15 21 35 67 107 137 155 175 177 156 126 107 98 86 42 9 0 0 0 0 0 0 0 0 0 0 2 8 17 29 46 67 77 80 90 91 62 20 0 0 1 6 9 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 56 193 360 503 535 372 181 209 361 400 526 620 676 706 700 694 704 653 589 546 582 627 652 660 667 676 680 669
91 90 86 82 80 81 85 86 81 79 80 83 88 93 95 93 96 110 130 154 184 214 223 212 197 181 134 104 98 99 102 108 109 95 75 63 69 85 88 80 68 49 25 19 22 25 30 33 35 36 37 37 38 41 44 48 52 59 66 69 68 70 77 65 68 52 25 7 2 2 2 2 2 1 1 6 14 25 35 35 22 17 16 16 19 24 34 60 90 131 154 157 146 129 111 93 77 68 41 9 0 0 0 0 0 0 0 0 0 0 9 22 33 42 55 73 85 87 96 93 57 17 0 0 0 4 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 7 68 234 360 444 587 429 183 210 216 276 413 541 612 653 692 758 826 835 799 761 741 747 755 742 731 735 742 741
99 98 94 88 84 83 83 83 85 90 89 86 82 81 79 78 80 85 98 118 149 193 231 253 263 235 171 130 109 108 113 118 115 99 79 69 79 100 98 84 68 46 26 21 23 26 33 35 37 40 41 41 43 48 51 54 60 65 66 63 62 68 74 59 42 17 4 1 1 1 0 1 0 0 0 3 12 23 30 34 33 23 23 20 21 26 36 54 82 129 162 146 121 107 97 88 78 68 42 7 1 0 0 0 0 0 0 0 0 0 18 43 58 63 66 74 85 91 96 81 37 8 0 0 0 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 9 70 254 347 305 506 407 220 238 223 216 334 445 525 596 660 740 836 909 926 893 838 810 811 796 783 784 794 802
97 98 95 90 87 85 85 87 90 94 96 96 93 89 86 82 80 78 77 82 101 144 206 274 326 307 242 188 143 132 136 129 115 97 81 77 88 102 98 87 75 49 30 24 24 27 32 37 41 47 52 55 58 62 65 65 69 74 65 60 59 63 71 62 31 9 1 0 0 0 0 0 0 0 0 1 6 15 19 18 22 20 26 20 22 28 38 51 77 123 160 139 97 83 81 84 81 63 31 8 2 0 0 0 0 0 0 0 1 2 24 62 89 91 78 68 72 85 95 70 22 3 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 8 59 215 218 153 302 246 135 193 271 203 277 362 425 521 621 715 812 904 962 958 879 836 841 831 815 806 813 827
91 92 92 91 90 90 90 94 97 98 102 105 103 97 92 91 86 84 79 76 83 114 174 261 345 397 340 250 192 169 163 141 116 96 83 82 87 88 83 81 76 52 32 26 27 30 35 40 46 55 64 71 76 78 79 78 78 79 68 59 57 66 72 56 19 3 0 0 0 0 0 0 0 0 0 0 2 10 11 11 16 21 26 23 22 30 39 48 72 115 143 122 83 81 80 81 74 50 21 9 3 0 0 0 0 0 0 0 1 5 30 79 116 114 83 58 60 79 96 69 14 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 4 36 127 89 68 93 80 69 191 283 182 177 290 365 458 577 686 767 838 916 969 905 846 853 846 825 804 794 798
89 90 92 96 99 100 99 101 104 104 106 110 104 100 100 99 89 88 88 82 85 108 156 225 304 384 362 298 241 210 188 157 125 102 90 90 88 78 69 69 69 55 36 33 34 36 41 48 53 64 72 78 84 89 94 98 97 90 84 74 72 85 75 41 8 0 0 0 0 0 0 0 0 0 0 1 8 35 42 36 31 29 26 24 21 30 40 46 71 106 119 101 85 95 98 83 60 33 13 7 2 0 0 0 0 0 0 0 4 19 53 103 135 123 84 62 69 87 95 66 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 9 29 13 19 18 16 27 104 153 106 87 199 338 447 564 663 713 741 809 914 940 875 852 844 823 788 760 748
91 96 101 104 106 105 104 104 104 103 107 108 98 96 101 102 93 89 92 93 99 119 153 205 267 320 350 325 285 248 208 169 136 113 103 105 102 86 76 72 67 59 48 44 43 45 50 53 58 67 73 77 83 94 110 122 119 108 108 112 103 112 67 25 4 0 0 0 0 0 0 0 0 0 2 14 49 116 120 101 75 50 31 23 24 31 38 44 64 87 96 90 86 98 103 76 43 21 11 5 1 0 0 0 0 0 1 1 4 23 65 114 138 123 91 82 89 95 88 57 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 22 42 45 48 96 247 437 577 652 683 689 737 856 961 932 883 851 807 755 716 697
99 105 108 108 105 104 105 108 111 111 109 101 95 99 96 93 89 87 92 105 122 141 167 213 265 308 339 347 324 279 223 175 144 127 123 127 123 102 88 77 70 66 62 57 56 56 58 60 64 69 73 76 79 87 106 125 131 131 125 111 91 67 27 8 1 0 0 0 0 0 0 0 0 0 9 46 104 145 154 147 123 93 61 40 34 34 34 40 62 80 82 80 80 84 82 59 29 19 12 5 1 0 0 0 0 1 2 2 4 20 59 107 133 129 110 112 118 112 89 49 8 1 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 12 81 158 131 40 152 414 621 662 677 675 695 783 898 927 895 847 785 718 668 650
107 110 109 107 105 107 114 124 131 129 121 109 98 98 91 93 92 93 101 117 138 157 183 234 280 312 341 374 382 312 249 195 160 148 149 147 135 111 94 85 78 76 73 68 67 63 64 68 74 77 79 82 86 92 103 113 123 131 113 72 39 12 2 0 0 0 0 0 0 0 0 0 0 1 10 41 72 80 93 118 128 120 95 67 48 39 33 39 73 97 86 74 70 70 66 48 24 19 12 4 0 0 0 0 0 2 5 8 11 23 54 98 133 141 131 142 149 132 90 41 8 1 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 1 9 29 38 30 107 360 673 696 682 674 684 732 807 860 867 833 778 719 675 656
114 113 111 111 114 121 134 149 163 163 156 137 114 100 92 93 92 99 116 140 162 178 201 251 292 319 361 413 416 346 278 216 185 179 176 165 144 120 106 104 93 95 86 76 70 67 69 76 82 85 88 91 93 95 101 106 105 113 102 47 7 1 0 0 0 0 0 0 0 0 0 0 0 2 10 15 18 18 27 53 88 114 112 93 69 47 37 48 84 112 90 69 58 63 61 42 19 16 8 2 0 0 0 0 1 4 9 14 17 27 54 95 133 150 147 157 162 138 81 30 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 14 81 301 675 748 714 695 695 713 751 795 818 810 785 756 728 702
117 114 116 120 128 139 155 174 194 206 203 179 146 117 99 93 91 98 116 147 179 204 225 261 300 336 387 434 430 375 309 251 218 208 192 177 161 147 137 128 115 123 105 91 85 82 80 84 89 93 100 108 107 99 94 96 96 103 94 28 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 4 8 21 50 85 111 110 90 60 45 59 94 116 95 66 48 57 55 36 17 13 8 2 0 1 1 1 2 5 11 19 28 39 63 95 127 145 145 152 159 130 68 23 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 71 291 636 809 778 733 720 724 737 760 782 788 786 769 744 711
115 115 123 132 138 145 156 176 204 235 249 228 188 144 117 106 102 105 111 140 174 205 233 265 301 339 388 432 434 401 349 296 259 234 206 192 186 179 171 162 153 148 124 108 104 96 90 89 91 94 99 107 108 102 97 95 96 95 84 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 13 26 35 47 66 93 106 96 64 47 60 85 99 93 70 41 52 49 32 18 12 6 2 0 1 2 2 4 7 13 20 35 57 78 107 132 138 133 133 132 98 45 13 2 0 0 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 63 266 580 832 847 778 747 745 748 750 751 746 738 721 702 679
115 120 127 130 130 129 134 155 194 245 281 279 234 177 142 135 132 124 119 136 166 200 235 265 294 331 382 413 438 424 385 339 301 271 240 224 220 209 199 189 174 156 135 119 120 109 100 95 93 94 95 97 99 104 108 107 103 95 69 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 32 57 63 56 52 61 72 70 50 43 57 74 88 96 85 44 48 43 25 13 7 3 1 0 0 1 4 7 11 14 18 27 48 72 107 130 132 118 102 82 45 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 0 0 0 0 0 0 0 0 0 0 0 0 33 191 505 807 882 818 774 754 740 719 694 672 653 646 631 604
110 115 116 113 107 102 103 123 169 235 292 313 278 205 164 156 149 135 129 145 180 215 242 264 287 319 360 400 437 434 407 375 340 306 277 263 254 236 223 205 178 158 144 132 133 123 112 102 99 101 106 112 119 128 132 123 110 87 46 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 15 42 63 66 49 31 20 20 27 30 27 33 51 71 94 115 104 56 39 28 13 6 3 1 0 0 0 2 5 8 12 15 17 21 34 68 98 121 113 88 60 33 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 22 166 473 784 863 833 794 751 715 678 642 616 593 602 586 548
97 95 92 89 85 82 83 97 133 197 274 311 291 230 184 153 137 129 129 150 185 214 231 247 271 304 343 389 424 430 418 411 373 335 310 295 279 255 234 210 180 162 153 142 134 129 120 115 114 118 126 137 152 163 163 139 115 72 27 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 22 59 86 66 31 11 2 1 1 3 5 11 21 39 67 102 137 125 70 27 11 3 1 0 0 0 0 1 3 6 7 8 11 16 23 36 57 72 79 60 38 20 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 45 221 521 778 816 836 812 767 722 673 635 616 600 602 583 540
74 69 70 72 78 88 98 111 129 170 237 274 272 238 189 149 130 126 131 156 181 193 198 212 239 285 332 380 420 436 435 444 393 354 329 311 291 267 241 215 184 169 160 147 136 135 137 139 137 139 146 156 172 188 186 157 130 62 15 0 0 0 1 1 0 0 0 0 0 0 0 0 0 7 58 81 59 22 4 1 1 0 0 0 2 9 22 43 78 113 164 153 87 26 4 0 0 0 0 0 0 2 4 5 4 3 6 11 19 29 38 39 33 15 5 1 0 0 0 2 10 17 10 2 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 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 4 83 308 596 772 769 824 815 780 745 702 672 654 633 613 590 556
59 61 71 78 101 127 145 153 160 178 217 241 257 242 202 163 140 135 136 165 179 180 181 193 224 275 335 383 430 456 463 452 391 354 333 314 295 272 245 217 196 178 168 160 153 153 158 162 160 160 164 165 163 168 178 176 154 65 12 0 0 0 1 1 0 0 0 0 0 0 0 0 1 9 57 39 18 6 2 0 0 0 0 0 5 17 39 74 122 144 205 189 99 27 3 0 0 0 0 0 1 2 3 2 1 2 3 6 8 9 11 10 7 2 0 0 0 0 0 4 19 36 27 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 14 118 382 641 742 728 790 794 776 755 723 693 666 632 597 570 548
66 79 95 110 136 175 190 192 192 193 200 218 252 252 198 157 145 146 147 178 192 184 181 195 227 276 338 390 444 474 467 431 379 352 336 313 286 260 236 217 203 189 182 182 176 169 168 168 170 175 180 181 178 180 189 194 163 68 8 1 0 0 0 1 0 0 0 0 0 0 0 1 5 16 27 24 16 11 6 2 0 0 1 3 12 32 69 124 176 187 243 229 119 36 5 0 0 0 0 0 0 0 1 0 0 1 2 2 0 1 2 1 0 0 0 0 0 0 0 5 21 42 43 19 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 38 171 455 650 693 695 743 753 740 720 691 664 637 605 563 521 491
82 102 125 148 168 200 206 203 196 186 183 201 236 250 175 150 147 149 153 169 184 191 195 208 238 282 333 385 439 458 423 386 357 343 330 303 264 233 220 213 206 199 197 195 191 174 165 168 180 192 199 203 200 191 193 190 160 89 26 2 0 0 1 1 0 0 0 0 0 0 0 2 11 25 26 20 12 11 8 4 2 2 10 23 43 72 119 180 223 228 253 263 155 58 12 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 2 2 0 0 0 0 0 0 7 26 47 43 15 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 1 2 4 8 26 86 258 502 621 637 645 671 677 663 640 616 599 586 564 524 473 437
93 115 139 157 170 185 192 189 175 163 165 182 214 224 162 145 148 147 153 170 193 205 210 225 255 295 338 384 420 418 381 364 345 331 318 289 240 202 202 207 206 203 197 191 192 178 175 187 205 221 232 237 231 207 180 138 129 106 50 7 0 4 2 1 0 0 0 0 0 0 0 2 16 22 12 6 4 4 5 7 7 6 15 42 81 132 182 233 271 273 259 263 179 70 18 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 13 9 3 1 2 1 0 1 7 20 25 16 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 5 19 28 30 52 119 323 502 571 575 571 574 569 553 530 511 505 505 490 453 414 404
97 114 134 144 150 164 176 180 176 168 160 161 179 175 141 128 145 141 147 163 189 219 239 256 289 335 382 413 411 389 369 331 314 315 317 282 218 176 183 197 203 202 194 192 199 199 203 219 238 254 266 267 247 204 151 85 87 88 54 14 6 13 5 1 0 0 0 0 0 0 0 3 22 19 6 3 1 0 3 10 11 7 8 26 67 138 215 269 311 318 295 261 186 87 27 5 0 0 0 0 0 0 0 0 0 0 1 2 5 12 24 23 13 5 4 6 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 9 43 58 47 68 140 328 459 504 502 488 473 453 431 410 396 393 395 384 364 357 373
92 106 122 132 146 162 173 180 184 182 165 146 140 123 105 115 137 129 143 164 196 229 261 297 344 399 434 442 406 352 297 231 235 284 320 273 198 158 168 186 201 206 203 207 216 225 239 254 268 280 288 284 258 204 128 43 48 53 36 19 15 17 7 0 0 0 0 0 0 0 0 3 22 16 6 1 0 0 1 8 10 7 2 3 25 81 177 279 336 346 314 255 183 109 42 10 1 0 0 0 0 0 0 0 0 0 4 12 21 32 25 13 5 4 8 14 14 9 5 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 7 64 87 77 92 135 280 384 421 419 402 382 361 337 317 302 294 287 274 281 313 345
90 106 124 141 162 178 179 178 181 177 160 132 111 100 92 98 113 125 149 174 209 249 296 348 399 435 440 431 332 233 179 170 212 271 282 228 173 153 161 177 197 212 211 219 232 250 268 280 288 295 298 291 260 194 103 23 17 18 14 17 24 22 8 0 0 0 0 0 0 0 0 2 11 5 1 0 0 0 0 2 4 3 1 0 5 30 101 236 333 345 287 227 180 130 74 27 8 4 1 0 0 0 0 0 0 2 10 28 36 26 17 8 1 3 11 24 31 29 16 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 2 74 105 108 117 133 215 296 326 321 303 287 276 264 247 231 217 199 185 209 261 299
99 121 142 165 186 196 180 168 169 165 146 117 94 91 95 105 114 130 159 195 240 288 343 391 419 418 380 306 191 119 129 173 229 257 218 171 155 158 165 175 193 213 215 226 247 267 283 293 302 310 315 300 248 155 60 8 5 2 5 13 23 20 8 1 0 0 0 0 0 0 0 1 3 0 0 0 0 0 0 0 0 0 0 0 0 7 42 139 283 313 231 176 150 122 84 42 18 14 8 4 2 0 0 0 2 4 13 38 53 40 15 2 0 2 13 31 37 29 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 75 87 94 115 123 154 199 213 204 186 170 163 162 159 158 147 127 120 152 205 243
116 142 155 175 189 188 170 152 146 138 120 99 86 88 97 108 119 142 179 227 279 325 361 378 370 332 262 172 97 79 139 184 224 225 188 155 155 167 174 184 203 219 224 237 265 283 295 307 320 330 330 302 212 90 26 6 5 4 9 12 12 10 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 1 0 0 1 10 66 193 273 197 141 115 99 77 49 28 23 19 10 3 0 0 1 4 4 10 27 39 33 14 1 0 4 18 38 38 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 85 91 70 65 78 98 120 123 114 100 87 79 81 89 94 90 76 80 114 160 188
129 142 141 153 166 167 155 137 125 111 95 84 81 86 92 103 122 157 204 259 306 331 330 319 287 225 141 78 63 96 174 187 202 200 180 163 168 182 191 207 227 234 238 253 281 298 311 325 340 350 337 284 185 73 20 5 3 5 9 10 10 10 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 10 7 3 1 0 0 35 129 221 182 140 117 103 87 66 47 37 33 20 7 1 0 2 7 8 7 7 5 3 1 1 1 5 15 23 20 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 121 134 84 46 40 54 72 70 57 49 43 45 52 59 62 63 58 68 97 127 137
124 125 124 128 148 152 137 117 100 88 78 77 80 86 94 107 130 169 227 276 304 303 285 264 238 193 145 124 130 161 201 193 191 201 196 187 189 200 209 223 238 242 250 270 296 316 330 345 361 367 343 275 169 59 4 1 0 3 7 13 19 16 9 3 1 1 1 2 3 0 0 0 0 0 0 0 0 0 0 3 9 17 22 18 9 1 1 56 139 202 195 175 163 146 124 101 79 64 53 27 9 1 2 7 14 17 15 11 5 2 0 0 1 3 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 9 149 178 99 34 15 23 35 29 26 19 16 23 32 40 47 53 58 71 92 107 108
110 115 119 128 146 143 121 96 78 69 68 71 77 83 94 112 144 190 241 253 255 255 252 244 232 216 212 224 229 230 229 221 213 224 221 213 212 216 221 227 238 247 262 290 318 341 359 372 383 372 328 252 155 62 1 0 0 1 4 10 14 11 6 2 6 13 15 11 6 0 0 0 0 0 0 0 0 0 1 5 17 35 55 64 54 30 54 124 198 233 231 221 211 192 165 132 103 80 57 27 15 8 12 21 32 44 51 45 29 16 6 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 0 0 16 132 219 174 84 22 4 8 5 7 4 3 5 13 24 34 43 52 68 88 98 97
103 117 132 144 146 132 104 82 73 68 67 68 71 75 92 121 158 198 222 214 216 228 233 236 240 248 260 276 261 244 243 239 236 242 239 231 229 231 232 234 242 256 274 310 342 364 381 391 384 336 256 179 109 44 3 0 0 0 0 1 2 2 1 2 27 55 53 26 4 0 0 0 0 0 0 0 0 0 1 8 30 67 110 145 150 131 157 186 250 281 278 268 262 239 191 145 106 75 48 23 15 17 29 42 56 85 117 128 114 86 46 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 86 231 308 220 91 20 7 1 1 0 0 0 6 15 24 30 39 54 74 84 83
103 123 145 149 133 111 87 72 69 69 67 65 67 76 100 140 180 193 193 194 210 216 220 225 232 239 247 248 234 223 244 251 255 258 256 246 241 244 246 250 258 269 284 322 354 372 388 388 346 250 134 65 35 13 1 0 0 0 1 0 0 0 0 7 36 78 67 22 0 0 0 0 0 0 0 0 0 0 2 9 30 70 108 132 146 165 205 240 293 320 320 310 297 266 204 144 95 60 41 37 42 30 48 67 103 143 184 215 221 187 102 20 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 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 6 39 129 263 282 172 82 50 31 24 15 6 1 3 9 14 16 23 35 50 57 57
104 122 145 142 116 93 76 65 64 64 63 62 64 75 97 134 178 171 181 191 201 209 214 218 218 215 210 210 213 218 249 278 298 297 280 267 264 267 270 276 284 289 300 330 357 373 388 368 284 161 55 4 0 0 0 0 0 0 1 0 3 2 1 4 18 33 26 5 0 0 0 0 0 1 0 0 0 0 1 4 13 27 36 37 48 92 174 266 306 327 344 348 330 287 224 162 112 96 93 107 122 118 81 105 146 193 231 243 223 162 69 9 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 27 110 177 149 104 74 57 51 41 20 4 1 2 4 4 8 18 26 25 21
107 123 136 134 102 81 66 60 60 58 57 59 62 73 100 124 137 154 163 178 187 193 198 199 196 192 190 202 216 231 260 309 323 316 306 302 303 305 305 307 313 321 331 347 364 379 376 338 257 156 70 23 0 0 0 0 0 0 1 3 9 6 2 1 4 6 3 5 1 0 0 0 0 1 0 0 0 0 0 1 1 1 0 0 1 33 119 230 291 325 360 370 348 312 276 239 187 196 205 215 202 159 118 156 195 227 222 177 117 57 11 8 2 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 18 52 53 41 30 29 37 45 39 14 3 0 0 0 1 4 10 6 3
117 132 131 116 91 68 58 54 50 47 48 52 55 55 64 87 107 122 131 159 174 182 179 173 170 174 183 200 221 245 277 316 325 329 333 337 339 339 339 340 350 366 380 374 380 396 358 280 255 210 132 52 3 0 0 0 0 0 3 7 7 3 1 3 7 9 9 8 1 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 25 100 196 272 327 383 395 360 326 313 300 267 281 311 289 221 173 178 224 274 268 188 86 24 4 6 10 3 0 0 0 0 1 2 5 7 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 1 1 0 1 3 8 15 20 17 4 0 0 0 0 0 2 1 0
127 139 123 98 76 59 55 48 42 39 40 44 50 53 52 59 73 88 105 129 149 158 159 165 175 184 197 223 243 255 286 316 332 345 355 360 362 362 366 379 403 424 451 349 310 307 259 171 153 164 124 56 9 0 0 0 0 0 3 6 3 2 13 17 13 10 7 3 1 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 59 144 226 289 342 399 412 359 344 372 392 382 377 390 331 245 183 209 288 333 299 200 96 41 14 4 3 2 0 0 0 0 2 6 10 11 11 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 1 3 3 1 0 0 0 0 0 0 0 0
129 140 109 82 63 54 51 43 38 33 32 36 42 45 44 52 63 77 92 106 121 142 163 198 228 248 258 256 238 246 279 312 333 348 357 361 358 354 358 376 400 409 399 190 136 123 107 82 62 63 53 26 7 0 0 0 0 0 0 2 12 31 45 34 9 2 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 9 105 225 285 322 364 405 405 350 373 435 480 469 434 416 363 295 244 254 268 254 215 175 110 72 30 6 1 1 0 0 0 0 2 5 9 12 14 11 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
127 130 98 73 58 50 46 43 38 32 29 33 38 39 41 50 61 73 90 116 138 153 176 229 268 277 258 220 207 254 236 290 318 330 329 326 327 289 247 238 246 228 156 35 35 38 34 23 15 10 7 1 0 0 1 20 51 48 27 19 47 69 56 26 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 13 82 265 331 355 382 402 394 372 414 411 389 358 330 325 326 281 224 166 136 129 119 103 83 73 43 17 4 1 1 0 1 1 1 2 5 7 8 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
112 112 90 67 51 45 41 41 38 31 26 34 37 36 38 49 68 84 84 107 121 135 159 201 246 252 237 228 226 228 183 243 252 248 251 252 231 166 77 61 64 53 21 5 11 27 59 67 59 41 24 10 3 2 3 59 135 159 119 57 51 54 43 20 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 4 45 188 330 406 430 423 401 377 354 307 267 238 211 200 191 136 87 75 96 108 88 57 55 62 54 34 16 7 3 2 2 1 0 0 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
87 93 83 64 45 37 35 40 35 28 27 32 36 32 30 32 45 64 72 88 86 98 117 139 166 178 165 162 158 150 140 160 141 160 151 121 85 41 0 0 2 5 2 7 32 92 181 206 179 135 86 41 15 15 3 17 94 163 153 60 23 26 26 13 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 3 2 16 96 273 428 463 434 387 340 294 253 201 193 176 158 131 92 65 58 61 68 63 51 54 66 55 48 31 17 9 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 0 0 0 0 0 0 0
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