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 9 9 9 8 8 8 8 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 6 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 4 4 5 6 6 5 5 5 6 7 8 7 6 7 9 10 10 9 9 9 10 10 9 8 8 8 9 10 10 9 8 8 8 6 4 3 5 7 9 9 8 6 4 4 5 7 8 9 9 8 8 7 6 6 6 7 9 10 11 10 8 5 4 3 4 5 4 5 6 8 10 10 9 8 7 5 4 4 4 2 1 2 5 7 9 9 7 6 5 4 3 3 4 6 7 6 5 6 6 7 7 7 8 7 6 5 5 6 7 7 7 7 7 7 5 4 3 3 4 6 8 8 6 2 -0 0 2 4 4 4 6 8 10 11 13 13 13 13 12 10 9 nan
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nan 15 12 10 11 13 15 17 18 20 21 20 17 13 11 10 9 8 6 3 1 4 7 11 13 13 11 9 9 9 11 13 15 16 17 17 15 12 9 8 8 7 7 7 7 7 6 3 2 4 7 9 9 8 7 6 5 3 3 2 0 -1 -1 -0 3 8 12 16 16 15 13 12 10 8 5 5 7 8 9 9 9 9 7 6 6 7 9 11 12 13 14 14 14 15 15 13 10 9 12 15 15 13 8 3 1 4 8 11 10 6 3 3 6 10 13 14 11 9 10 12 17 20 21 18 12 5 3 7 9 10 9 6 5 6 8 11 14 15 14 12 9 6 4 5 6 6 5 5 5 6 8 11 12 11 10 9 10 10 11 9 7 3 2 4 7 9 8 6 5 5 5 5 5 6 6 6 7 7 7 7 7 7 7 7 6 6 6 6 7 7 nan
nan 14 13 13 13 15 16 17 17 18 18 18 16 13 11 10 9 7 5 3 2 4 8 12 13 13 11 9 9 11 13 14 14 14 13 13 12 10 8 7 6 5 5 5 5 5 5 4 4 6 9 10 11 10 9 9 7 4 2 1 -0 -1 -1 0 3 7 12 15 14 12 11 12 12 11 8 6 6 7 7 7 8 9 9 7 6 6 7 9 10 11 11 11 11 11 12 13 13 14 16 18 17 14 9 6 5 7 10 12 11 8 4 4 6 11 14 13 8 4 4 7 12 16 18 16 11 7 9 13 14 12 8 2 -2 -3 0 5 11 15 16 15 13 10 6 4 3 4 4 5 6 8 11 14 15 13 11 10 8 8 8 8 8 6 4 4 6 7 6 4 4 4 4 4 5 5 6 6 7 7 7 7 7 7 6 6 6 6 7 7 7 7 nan
nan 14 15 15 15 15 15 15 15 15 15 15 14 12 11 9 8 6 4 3 3 6 10 13 14 13 11 9 9 10 12 13 13 11 10 10 10 10 8 7 6 5 5 6 6 7 8 9 9 10 10 10 10 10 10 10 9 6 3 1 0 -0 0 1 3 7 12 14 13 10 10 10 12 12 10 8 7 7 6 7 8 10 11 9 7 6 6 7 8 8 8 9 8 8 11 15 17 18 18 16 14 11 8 6 6 6 8 12 13 12 8 6 8 12 14 12 6 1 -0 2 6 11 14 15 14 13 15 17 17 13 9 4 0 -2 -2 0 4 8 11 12 12 10 7 4 3 4 5 7 9 10 11 12 13 14 13 12 10 9 9 11 12 11 8 6 6 6 5 4 4 4 3 4 4 5 6 6 7 7 7 6 6 6 6 6 6 6 7 7 8 8 nan
nan 14 17 17 16 15 14 13 13 13 13 12 11 11 10 8 6 5 3 3 6 9 12 14 14 12 10 8 7 8 10 11 11 10 9 9 9 9 8 7 6 5 6 7 9 12 14 14 14 13 11 10 9 9 9 10 9 7 5 3 3 2 2 2 4 7 11 12 11 10 9 9 10 10 8 7 7 6 6 6 7 9 11 11 9 7 5 5 5 6 7 8 9 10 11 14 17 18 17 15 12 8 5 4 3 2 5 9 12 13 11 9 10 13 15 14 8 2 -2 -2 1 5 9 13 15 15 15 16 16 14 12 11 9 7 5 3 3 4 6 7 8 8 7 6 7 8 9 9 9 9 7 7 10 15 17 16 13 11 12 14 17 17 14 9 6 5 5 5 5 4 4 4 5 6 7 7 6 6 6 6 5 5 6 6 6 7 7 7 8 8 nan
nan 15 18 18 16 14 12 12 11 11 11 11 9 8 8 6 4 3 3 4 8 11 13 13 12 10 8 8 7 8 9 9 9 9 8 8 7 7 6 5 4 4 5 8 11 14 15 15 14 13 12 10 9 8 9 9 8 7 6 5 5 3 3 3 5 7 8 10 11 10 9 8 8 8 7 6 7 6 5 4 4 7 11 13 13 10 7 5 5 5 6 8 10 12 12 13 14 15 15 13 11 7 4 1 0 1 2 6 9 11 11 10 10 12 14 14 11 6 1 -1 -1 0 4 9 12 13 13 13 13 12 13 14 15 14 13 11 9 8 7 7 8 9 9 9 10 11 10 8 7 6 4 6 12 18 20 18 14 10 12 16 19 21 17 10 7 6 6 6 6 5 5 5 6 7 7 7 6 6 5 5 5 5 6 6 7 7 7 8 8 8 nan
nan 16 18 17 14 12 12 11 11 11 11 11 9 7 6 4 2 2 2 5 10 13 14 13 11 9 8 9 9 9 9 9 8 7 6 5 3 2 1 2 2 2 4 6 10 13 14 13 12 11 11 11 11 11 11 10 8 8 9 8 6 4 3 4 5 5 6 9 11 10 9 8 7 7 7 7 7 6 4 2 3 5 9 14 16 13 10 7 5 5 6 8 11 14 15 15 15 14 12 12 11 9 7 4 1 1 1 2 5 9 11 12 11 10 11 11 10 8 5 2 0 0 1 5 9 12 12 11 8 7 8 10 13 15 16 16 13 11 10 10 11 11 10 9 10 10 9 7 6 5 5 8 14 19 19 16 11 8 10 14 18 20 17 12 8 7 6 6 6 7 7 8 8 8 7 6 5 5 5 5 5 6 6 7 7 8 8 8 8 8 nan
nan 15 16 15 13 12 12 11 11 10 11 11 10 7 5 2 1 1 3 8 13 16 16 14 11 10 10 11 11 11 10 9 8 6 5 2 -0 -3 -3 -2 -1 0 2 4 7 10 12 12 10 9 10 11 12 13 12 9 7 7 9 8 6 5 4 5 4 4 4 7 10 11 10 9 9 9 9 9 8 7 5 3 3 6 9 13 16 15 12 9 7 6 6 8 12 15 17 18 16 14 11 11 12 14 14 10 5 2 -1 1 6 11 14 14 11 7 6 7 8 8 8 6 5 3 2 2 5 8 9 8 5 3 3 5 8 11 14 15 14 11 10 10 10 9 8 8 9 9 9 7 7 6 6 8 12 15 13 11 9 8 10 14 18 19 18 15 11 9 8 8 9 9 10 10 9 8 7 6 5 5 6 6 6 7 7 8 8 8 8 9 9 9 nan
nan 13 15 14 13 13 13 12 11 10 9 9 8 6 4 2 1 3 7 12 16 18 17 15 12 12 12 13 13 12 11 9 7 6 4 2 -1 -4 -5 -4 -2 0 2 4 5 8 11 11 10 9 9 10 11 11 9 7 5 5 7 6 5 5 6 6 5 3 4 6 8 10 10 10 10 10 10 10 10 8 6 5 4 6 8 10 12 13 12 10 8 7 7 9 12 15 17 17 16 13 11 10 11 15 16 13 7 2 1 3 9 15 17 16 11 8 6 5 6 8 10 11 10 8 5 3 3 5 6 6 5 3 2 2 4 6 8 10 10 9 8 8 8 7 8 10 11 10 9 9 8 7 7 7 9 9 8 7 7 8 11 16 21 22 21 18 15 13 13 13 13 13 13 12 11 9 8 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 nan
nan 12 13 12 12 13 14 13 11 10 8 7 5 3 3 3 5 8 12 15 17 16 14 13 12 12 12 12 12 12 11 10 8 7 5 3 1 -1 -3 -3 -1 0 2 3 3 4 7 9 10 9 9 10 10 10 8 5 5 4 4 4 4 5 6 7 6 5 4 6 8 9 10 10 10 10 10 10 10 9 7 5 4 5 5 5 6 8 9 10 9 8 7 9 12 14 14 14 14 13 10 8 8 10 11 10 7 4 3 5 10 15 16 14 11 10 9 7 7 8 11 14 14 13 10 7 6 5 6 6 7 6 5 3 2 2 3 3 4 4 5 6 7 8 10 12 12 11 10 9 9 9 9 8 7 7 6 5 5 5 8 15 21 24 23 21 18 16 16 16 16 16 16 15 14 13 11 10 9 9 8 8 8 8 9 9 9 10 10 10 10 10 nan
nan 11 10 9 9 11 14 14 13 11 8 5 2 2 4 7 10 13 15 15 13 11 10 9 9 9 10 11 11 12 12 13 12 10 8 6 4 2 1 0 -0 0 1 1 1 2 5 9 11 10 10 10 10 10 9 7 6 5 4 3 2 3 5 7 7 6 5 6 8 9 10 11 10 9 8 8 9 9 8 6 5 4 2 1 2 4 7 9 9 9 8 9 10 11 11 11 11 11 10 8 6 6 8 10 9 7 6 6 8 11 11 10 10 10 10 8 7 8 11 14 15 15 14 12 10 9 9 11 12 11 9 6 4 3 2 1 1 1 3 5 7 8 10 12 13 12 10 10 11 12 12 10 9 7 5 5 5 6 7 11 17 20 21 20 17 16 16 16 17 16 16 16 16 15 14 12 11 10 9 9 8 9 9 9 10 10 10 10 10 10 nan
nan 10 7 5 7 10 14 16 15 12 8 4 3 3 6 10 12 13 13 12 11 9 8 8 7 6 7 8 10 12 13 15 15 14 12 10 9 8 8 6 3 2 2 2 3 4 7 11 12 11 10 10 10 11 11 10 9 7 5 4 3 3 5 6 6 6 6 7 9 11 12 12 11 10 9 9 9 9 9 8 6 5 3 2 3 5 7 9 10 10 9 9 9 10 9 8 8 9 10 9 9 9 11 12 11 9 7 6 7 7 7 7 8 8 7 6 7 9 12 15 16 16 16 15 14 13 13 15 16 15 13 11 8 6 5 4 4 4 4 5 7 9 12 14 14 13 12 12 12 13 13 12 10 7 5 5 7 7 7 8 11 15 16 15 14 13 13 13 13 13 13 14 14 14 13 12 11 10 9 9 9 9 9 9 9 10 10 10 10 10 nan
nan 7 5 5 8 12 15 17 16 14 10 7 6 7 8 10 10 10 11 12 12 10 9 7 6 5 5 7 11 13 15 16 16 15 15 15 15 16 16 14 11 9 8 8 9 10 12 12 12 11 9 9 9 10 11 11 10 9 7 7 6 6 6 6 5 5 7 8 10 11 11 11 11 11 11 11 10 9 8 7 6 5 4 5 6 8 9 10 11 11 11 10 11 10 9 7 7 8 10 11 12 14 15 13 11 9 8 7 7 7 6 6 6 5 5 5 8 11 14 16 17 17 16 15 15 14 15 16 16 16 15 14 11 10 9 8 8 7 5 5 8 12 15 17 17 15 13 12 11 11 11 11 10 8 6 6 6 5 3 4 8 12 13 12 10 9 9 9 10 10 10 10 10 11 11 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 nan
nan 5 5 7 10 14 16 16 16 14 13 11 10 9 9 8 8 9 11 12 12 11 8 6 5 5 7 10 14 15 16 16 16 16 16 17 19 21 21 21 20 17 16 16 16 17 17 15 11 9 7 6 6 8 9 10 10 9 8 8 8 8 7 6 5 5 7 9 11 12 11 11 11 12 12 11 10 7 5 4 3 3 4 6 9 11 12 13 13 14 13 13 12 11 9 8 8 10 11 12 13 14 13 11 9 7 8 8 8 8 7 7 7 7 7 8 10 13 15 16 16 16 15 14 13 12 12 13 14 15 15 13 11 10 9 9 8 6 6 8 11 14 16 16 15 13 12 11 10 9 8 8 7 7 7 7 6 3 2 4 7 11 12 11 9 8 7 7 7 7 7 7 7 8 8 8 9 9 8 8 9 9 9 9 9 9 10 10 11 11 nan
nan 5 6 9 12 15 16 15 14 14 14 13 11 9 8 7 7 9 11 12 11 9 7 6 6 7 9 12 14 15 16 16 16 16 16 17 18 20 22 23 23 22 21 20 20 20 19 17 12 8 6 5 5 6 6 6 7 7 7 7 7 7 6 6 5 7 9 11 13 14 14 13 11 11 10 9 7 6 4 3 2 3 5 7 11 13 15 16 16 16 16 15 13 10 8 7 8 10 12 13 13 12 11 9 7 6 6 7 8 9 10 10 10 9 9 10 11 12 12 13 13 14 14 13 11 10 9 9 10 11 11 11 10 10 9 7 6 7 10 13 14 14 13 12 11 10 10 9 8 7 5 4 4 5 8 10 9 7 6 7 10 13 14 12 10 8 7 6 6 6 6 5 5 6 6 7 8 8 8 8 8 9 9 9 9 10 10 11 11 11 nan
nan 6 9 12 15 16 17 16 15 14 13 12 10 7 6 6 6 8 9 10 9 8 8 8 8 9 9 9 10 11 12 13 13 13 14 14 15 16 18 19 20 21 20 19 19 18 17 16 13 10 9 8 7 6 5 4 4 5 5 6 6 6 6 6 7 9 10 12 13 15 16 14 11 8 7 6 5 4 4 4 5 6 8 11 14 16 17 18 19 18 17 15 13 10 7 6 7 9 12 13 13 11 11 9 6 4 3 5 8 10 11 10 10 9 8 8 8 8 8 8 10 11 12 12 11 8 7 7 8 8 9 10 10 11 10 8 9 11 15 18 16 13 11 9 8 8 7 7 6 6 4 3 3 5 9 12 12 10 9 9 11 14 15 13 11 8 7 6 5 5 5 5 5 5 6 7 8 8 8 8 8 9 9 9 9 10 10 11 11 11 nan
nan 8 11 14 17 19 19 19 16 13 12 11 10 8 6 5 6 6 7 7 7 7 8 9 9 9 8 6 6 7 8 9 10 10 10 11 11 12 13 14 15 16 17 17 16 14 13 13 12 12 11 11 10 9 7 6 6 6 6 6 7 7 8 9 11 12 11 11 10 11 11 10 7 6 6 5 4 4 4 5 7 10 13 14 16 17 18 18 18 17 16 15 13 10 8 7 6 7 9 11 11 11 10 8 5 2 1 3 6 8 8 8 8 7 7 6 6 6 4 4 6 8 10 11 10 8 7 8 9 10 9 10 11 12 12 11 12 14 16 17 15 11 9 7 7 6 5 5 6 6 5 4 4 6 9 11 11 9 9 9 11 14 14 13 10 8 7 6 5 5 5 5 6 6 7 8 9 9 9 8 9 9 9 10 10 10 10 10 11 11 nan
nan 8 11 14 16 18 20 20 18 15 13 13 12 10 8 6 5 6 6 7 7 7 7 8 8 7 6 5 5 6 6 7 7 7 7 7 8 8 8 9 11 12 14 14 14 12 11 11 12 12 12 12 11 10 10 10 10 11 10 10 11 12 13 14 15 15 13 9 7 5 5 5 5 6 5 5 4 3 4 6 9 12 14 15 15 16 16 16 15 14 13 12 11 10 9 7 5 5 6 9 10 10 10 7 3 -0 -1 0 3 4 4 5 6 7 7 7 7 6 5 4 4 6 8 10 9 7 7 9 11 13 12 11 10 11 11 11 10 11 11 11 10 8 6 5 5 7 8 9 9 8 7 5 4 5 7 8 8 7 7 7 8 10 11 10 9 8 7 6 6 6 6 7 7 8 9 10 10 10 9 9 9 10 10 10 10 10 10 11 11 11 nan
nan 9 11 13 14 15 18 19 20 19 17 15 13 11 9 8 7 6 7 8 8 8 8 8 8 7 7 8 8 8 7 6 5 5 6 7 7 6 6 7 8 10 13 14 14 13 12 12 12 12 12 12 11 11 11 12 13 14 14 14 15 16 17 18 18 17 14 10 6 4 3 4 7 8 7 5 4 3 4 6 8 11 12 13 13 13 13 13 12 11 10 10 9 9 8 6 3 3 6 10 12 13 11 8 4 0 -0 1 3 4 3 4 5 6 9 10 11 10 9 8 7 7 9 10 9 7 7 10 12 14 13 11 10 9 8 8 6 5 5 4 4 4 4 3 5 8 12 13 12 9 6 4 4 4 5 5 4 4 3 4 5 7 8 8 8 8 8 8 7 8 8 9 10 11 12 12 12 11 11 11 12 12 12 12 11 11 10 11 11 10 nan
nan 11 9 10 11 12 14 17 19 19 18 16 13 11 10 9 9 8 8 9 8 8 9 9 10 9 9 9 8 8 7 6 5 6 8 9 9 8 7 7 8 9 11 13 14 14 14 12 12 11 11 12 13 14 14 14 14 14 15 15 16 17 18 18 19 18 15 12 9 6 5 6 8 9 8 6 5 4 4 6 8 9 10 10 11 11 11 11 10 10 9 9 9 9 8 5 4 4 8 13 15 15 13 11 8 7 7 8 10 10 8 6 6 8 11 13 13 13 13 12 12 12 12 11 10 9 8 10 12 13 13 11 9 8 8 7 5 4 3 3 3 4 3 4 6 10 13 15 12 8 4 3 4 4 3 2 1 -1 -0 2 5 6 7 8 8 8 9 9 9 9 9 10 11 12 14 14 14 14 14 16 16 15 14 13 11 11 10 10 10 10 nan
nan 11 7 6 8 9 11 13 14 15 15 13 12 11 10 10 11 11 11 9 8 8 9 9 9 8 7 7 7 7 6 6 5 6 8 11 12 12 10 9 9 9 11 12 13 14 13 12 11 11 11 13 15 17 17 16 15 15 15 16 16 16 15 15 15 15 15 14 12 10 8 7 7 7 7 7 6 5 4 5 7 8 9 9 10 11 12 11 11 10 9 9 9 9 9 8 7 8 11 14 15 14 13 12 13 13 14 15 16 17 15 12 11 12 14 15 14 12 13 14 15 16 14 12 10 9 9 9 10 11 11 11 10 9 9 9 8 7 7 7 6 6 5 5 8 11 14 14 11 6 5 5 5 4 2 0 -1 -2 0 5 7 8 8 8 9 9 10 10 9 9 9 9 10 12 13 15 16 16 17 18 18 17 16 14 12 10 10 9 9 9 nan
nan 10 6 4 5 7 8 10 11 12 12 12 11 11 11 11 13 13 13 11 9 8 7 6 5 5 4 5 6 7 7 6 5 5 6 10 12 13 12 10 9 9 10 11 12 13 13 12 12 12 12 14 16 18 18 17 16 16 16 16 15 14 12 11 11 11 13 13 14 13 10 7 7 7 7 7 6 4 4 4 6 7 8 10 11 12 12 11 11 10 9 9 10 11 12 13 11 10 11 11 12 12 11 12 14 15 16 16 17 17 18 18 17 17 16 15 13 11 11 12 14 15 14 11 10 9 10 10 10 10 10 10 10 10 10 11 11 11 10 9 7 6 6 7 10 13 13 12 8 6 7 8 8 5 2 0 -1 -1 3 7 9 10 10 9 9 9 10 9 9 8 8 8 9 10 12 14 15 15 16 16 17 17 16 14 12 10 9 9 9 9 nan
nan 11 7 4 4 4 5 7 8 10 10 11 11 12 13 13 13 14 14 12 11 9 7 5 4 3 4 5 7 9 8 7 6 5 6 8 10 12 11 10 9 8 9 10 12 12 12 12 13 13 14 15 15 16 16 16 16 16 16 15 14 12 10 9 9 9 11 13 14 14 12 10 8 8 7 6 5 4 4 4 6 7 9 10 12 12 11 10 10 9 9 10 12 15 16 17 15 13 12 11 10 10 10 11 12 14 14 14 14 15 16 18 18 17 15 14 12 10 10 10 12 13 12 11 11 11 11 11 11 10 10 10 10 10 10 11 11 10 9 6 5 5 8 10 12 12 11 8 5 6 10 11 11 9 5 2 1 2 5 8 10 10 10 10 9 9 9 9 9 8 8 8 8 10 12 13 13 13 13 13 14 14 14 12 11 10 10 10 10 10 nan
nan 12 8 5 3 2 3 3 5 7 8 10 11 12 13 14 13 12 12 12 12 11 9 8 6 5 5 6 8 8 8 8 7 6 7 7 9 10 11 10 8 7 8 10 12 13 12 12 12 14 16 16 16 15 14 14 13 13 14 13 12 10 9 8 8 8 9 10 11 12 11 11 10 9 8 7 5 4 4 5 7 9 11 12 12 12 10 9 8 9 10 12 14 16 17 18 18 16 14 12 10 8 8 9 10 11 12 12 13 13 13 14 14 13 13 12 11 10 9 10 11 12 12 11 11 12 12 12 11 11 10 10 10 9 9 9 9 8 5 3 3 6 10 13 13 11 7 4 4 7 10 13 14 12 9 5 4 5 7 9 10 11 11 10 10 9 9 9 9 8 8 8 9 11 12 13 12 12 11 11 11 11 11 11 10 10 10 10 11 11 nan
nan 10 8 5 3 2 2 3 4 5 6 7 9 11 12 12 11 10 11 12 12 13 12 10 9 8 8 7 7 7 7 7 7 7 7 7 8 9 10 10 9 8 9 11 13 14 12 10 10 12 15 16 16 15 13 12 12 11 11 10 8 7 6 6 6 6 6 6 7 8 9 10 10 9 9 8 7 6 6 7 8 10 12 13 12 11 10 8 8 9 11 13 14 15 14 16 18 17 15 12 10 8 7 6 8 9 11 11 11 11 10 10 11 12 12 11 11 10 9 10 10 11 11 11 10 11 11 11 11 10 10 10 9 9 8 8 7 6 4 3 5 8 11 12 10 6 2 1 3 7 10 13 14 13 9 6 5 6 7 9 10 11 11 10 10 9 9 8 8 8 9 9 11 12 13 13 12 11 10 10 10 10 10 10 10 10 10 10 11 11 nan
nan 7 6 6 5 4 4 4 5 5 5 6 7 8 9 9 9 9 10 11 12 12 12 11 11 10 10 9 7 6 6 6 7 7 7 6 6 7 8 9 10 11 12 14 16 16 13 10 8 9 11 14 15 15 14 13 12 11 9 7 5 4 4 5 5 4 4 4 4 6 8 9 9 8 8 8 8 8 7 8 9 10 10 11 11 10 9 8 8 10 11 13 13 12 12 14 16 17 15 13 11 9 6 5 6 9 10 11 10 9 8 9 10 11 11 11 10 10 9 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 7 6 5 5 7 9 11 10 7 3 -0 1 4 7 9 11 11 10 7 4 3 4 6 8 10 10 10 9 8 8 7 7 8 9 10 11 13 14 14 14 13 11 10 10 10 10 10 10 10 10 10 9 9 9 nan
nan 8 8 9 8 5 4 5 7 8 7 5 5 5 6 7 8 10 10 10 11 12 13 12 11 11 10 10 9 7 6 6 6 6 6 4 3 4 6 8 10 13 15 18 19 18 15 11 8 7 8 10 12 14 14 14 14 12 10 7 5 5 5 5 4 3 3 3 5 7 8 8 8 7 8 8 9 8 7 7 8 8 8 7 8 8 8 8 9 11 12 13 12 10 11 13 15 16 16 14 12 9 7 6 7 9 10 10 9 8 8 9 10 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 6 6 7 8 10 10 9 6 3 2 3 5 6 7 7 7 5 3 1 1 3 5 7 8 9 8 8 8 8 8 8 9 10 12 14 15 15 15 15 14 12 11 11 10 10 10 10 10 9 9 8 8 8 nan
nan 11 11 12 12 9 7 8 9 10 8 5 4 5 6 7 9 11 11 9 9 11 12 12 11 10 10 11 10 8 7 6 5 5 4 3 3 4 6 8 11 13 15 17 19 19 16 13 9 7 6 8 10 12 14 16 16 16 15 12 10 9 8 6 4 1 1 2 4 7 7 7 7 7 8 8 8 7 6 6 6 6 5 5 6 7 7 8 10 12 14 14 12 10 10 12 15 16 17 15 12 9 6 6 8 9 9 9 8 7 8 8 9 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 7 7 6 7 8 9 10 11 9 7 5 5 6 6 6 6 6 5 3 1 0 2 4 6 8 9 9 8 8 8 9 9 10 11 12 14 16 16 17 17 16 15 13 12 11 10 10 10 9 9 8 8 7 7 7 nan
nan 13 13 13 14 14 13 12 12 11 9 6 5 6 8 9 11 12 10 8 8 9 10 11 10 9 9 10 11 9 7 6 5 4 4 4 5 7 10 12 13 14 14 14 15 17 16 14 11 8 7 8 9 12 15 17 19 20 20 19 16 13 11 8 5 3 2 4 5 6 7 7 7 7 8 8 7 6 6 5 5 5 4 4 4 4 5 7 10 12 15 15 13 10 8 11 14 16 17 16 12 8 5 6 8 9 10 9 8 7 7 7 8 8 9 9 10 11 11 11 11 10 10 10 10 11 11 12 12 12 12 11 11 10 9 9 8 8 8 8 9 10 10 9 8 7 7 7 8 8 8 7 6 3 2 3 5 7 9 11 11 10 9 9 10 11 12 12 13 15 16 17 17 17 16 15 14 12 11 10 9 9 9 8 8 8 7 7 7 7 nan
nan 12 12 12 14 16 16 15 13 11 9 8 8 9 10 11 11 10 9 8 7 7 8 10 10 9 8 10 11 11 9 7 5 4 3 4 6 9 13 15 15 13 11 9 10 12 14 14 12 10 9 8 9 11 14 17 19 21 21 21 19 16 14 11 9 8 8 9 9 8 8 8 8 8 8 8 8 7 7 6 6 5 5 4 3 2 3 5 8 11 14 16 14 10 8 9 13 16 17 15 11 7 5 7 9 10 10 9 8 6 5 5 6 7 8 9 10 10 10 10 10 10 10 10 10 11 11 12 12 13 13 12 12 11 10 10 9 9 9 9 9 9 10 9 8 7 7 8 9 9 10 9 7 5 5 6 8 11 13 14 14 12 11 11 12 13 14 15 16 17 17 17 17 16 14 13 11 10 9 8 8 8 8 8 8 8 8 8 8 8 nan
nan 9 8 9 11 14 14 14 12 10 8 9 10 11 12 11 10 9 8 8 7 7 7 9 10 9 8 9 12 13 12 10 7 5 3 3 5 8 12 14 14 12 9 6 6 8 11 12 12 11 9 8 8 10 12 14 16 17 18 18 17 16 14 13 12 12 13 15 14 13 11 10 10 9 9 8 8 8 7 7 7 7 7 6 5 3 2 3 6 9 12 14 13 10 8 9 12 15 16 15 11 7 6 7 9 10 10 8 6 4 3 3 4 6 7 8 9 9 9 9 9 9 10 10 10 10 10 10 11 12 12 12 11 11 10 9 9 9 9 9 9 9 9 9 7 6 6 7 8 9 9 9 7 6 7 9 11 14 17 17 15 14 12 12 13 14 16 18 19 18 17 15 14 12 11 9 8 8 8 8 8 9 9 8 8 8 8 8 9 9 nan
nan 6 5 6 9 11 12 11 9 7 7 8 10 11 11 11 9 8 7 7 6 6 6 8 10 9 8 9 11 13 13 12 10 7 4 3 4 6 8 11 12 11 8 6 5 6 8 10 10 9 7 6 7 7 9 11 12 13 13 13 13 12 11 11 11 13 15 17 18 16 15 13 12 11 10 10 9 8 8 8 8 9 9 9 8 7 5 4 4 6 8 10 11 10 9 9 10 13 14 13 11 8 8 8 9 10 9 7 4 1 0 1 3 5 7 8 8 8 7 8 8 8 9 10 10 9 9 9 10 11 11 11 11 10 8 8 8 8 9 9 10 10 10 9 7 6 5 5 7 8 8 7 6 7 8 11 14 17 18 18 16 14 13 13 13 15 17 18 18 16 14 11 10 9 8 8 7 8 8 9 9 9 9 9 9 8 9 9 9 10 nan
nan 6 5 5 7 10 10 9 7 6 6 7 9 10 10 10 9 8 8 7 6 5 6 8 10 10 9 9 10 11 12 12 11 9 6 5 4 5 6 8 10 10 9 8 7 6 6 7 8 7 6 5 5 5 6 7 8 9 9 9 8 7 6 7 8 10 13 16 16 16 15 14 13 12 12 12 12 11 10 10 10 11 11 11 11 10 8 6 4 4 5 7 8 9 8 8 9 9 10 11 11 10 10 9 9 10 10 9 5 1 -1 -0 2 4 6 8 8 8 8 8 9 9 9 10 10 10 10 10 10 11 12 12 12 10 8 8 8 9 10 11 11 12 11 10 8 6 6 5 6 6 6 5 5 6 9 12 15 17 17 15 14 13 13 12 13 14 16 16 15 12 10 8 7 7 7 7 8 8 9 10 10 10 10 10 9 9 9 10 10 10 nan
nan 9 7 4 6 9 10 9 7 5 6 7 8 9 10 11 11 10 9 8 7 7 7 8 10 11 11 10 9 10 10 10 10 9 8 6 4 4 5 6 9 10 10 9 8 7 6 6 7 7 7 6 5 4 4 5 6 7 7 6 4 2 2 3 5 8 10 12 12 12 12 11 12 12 13 14 14 14 13 13 13 13 13 13 12 12 11 9 7 5 4 5 6 7 8 8 7 7 7 9 11 11 10 9 7 8 10 10 8 4 0 -0 1 4 6 8 9 9 9 10 10 10 11 11 12 13 13 13 13 14 14 14 14 12 10 10 10 10 11 11 12 12 12 11 9 8 8 7 6 5 4 4 4 7 9 12 13 14 13 11 11 11 10 11 11 13 14 14 12 10 9 8 8 8 8 8 9 9 10 11 11 11 10 10 10 10 10 10 10 10 nan
nan 12 10 6 6 9 10 10 7 6 7 9 9 9 10 11 12 12 11 10 8 8 9 10 12 13 13 11 10 10 9 9 10 10 9 7 4 3 4 5 7 10 11 11 10 9 8 7 7 8 9 8 7 5 4 4 5 6 5 4 2 0 -0 1 3 6 8 9 9 8 8 9 10 12 13 14 15 14 14 14 14 15 15 14 14 14 14 13 11 9 7 5 5 6 7 7 8 8 8 11 13 13 11 9 6 6 8 10 9 6 2 0 1 3 6 8 9 9 11 12 12 12 11 12 14 15 17 18 18 18 17 17 15 14 12 11 11 10 10 10 11 11 11 11 10 10 10 8 6 2 1 3 5 8 10 11 11 10 9 8 8 8 8 8 9 11 12 13 13 12 11 10 9 9 10 10 10 11 11 11 12 11 11 11 11 11 11 11 11 11 nan
nan 16 13 10 10 11 11 10 8 7 8 10 11 10 10 12 13 14 13 11 9 9 10 12 13 14 14 13 12 11 10 10 10 12 11 9 5 3 3 3 5 8 10 11 11 10 10 9 10 11 12 11 9 8 6 4 4 5 5 3 2 0 -1 0 2 6 8 8 8 7 7 8 9 11 13 14 13 13 13 13 13 14 14 14 14 14 15 16 16 14 12 9 7 6 6 7 8 10 12 14 16 16 13 11 8 7 8 9 9 8 4 2 1 3 6 9 10 11 12 14 14 13 11 11 13 16 19 21 22 21 19 17 15 14 12 11 10 9 8 8 9 10 11 11 11 11 11 8 5 1 1 3 6 10 11 12 11 10 8 7 6 6 7 7 9 10 11 13 13 14 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
43 43 46 60 88 120 144 158 153 141 133 128 124 117 105 92 90 88 81 70 61 62 72 67 57 50 49 51 50 51 55 56 52 46 46 50 56 61 64 64 65 70 76 76 70 61 52 45 39 34 27 22 19 18 17 12 0 0 6 30 41 66 75 73 90 123 125 91 68 60 68 82 89 87 78 60 35 14 12 10 4 0 0 0 0 0 0 0 0 0 0 65 310 700 649 260 78 17 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 2 32 140 294 333 256 194 172 141 102 69 50 46 51 58 62
63 65 75 93 115 133 141 136 132 119 115 112 107 102 97 93 94 90 79 72 73 75 70 55 41 35 32 31 33 37 44 48 47 43 43 46 52 61 67 69 67 70 77 79 76 66 55 45 39 35 29 21 16 17 17 10 1 3 12 35 41 81 80 79 94 108 100 91 74 61 69 84 91 88 75 51 27 20 27 28 15 5 2 2 2 1 0 0 0 0 0 91 329 570 489 160 46 10 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 27 121 245 298 281 251 234 202 160 121 96 85 83 80 76
81 95 109 122 130 129 123 111 112 89 93 89 86 88 91 95 97 89 75 72 75 72 62 46 35 27 23 23 28 33 38 44 48 49 48 50 54 62 68 69 65 67 76 81 81 75 61 48 41 36 29 17 11 14 15 7 2 12 28 40 45 94 75 87 103 100 99 97 84 73 75 79 81 77 62 41 31 38 43 38 27 19 13 12 10 2 0 1 0 0 5 172 394 466 314 102 22 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 0 0 11 70 161 240 293 315 307 266 209 164 138 128 120 107 94
79 105 132 135 116 102 91 85 84 68 71 70 70 74 84 92 92 86 78 78 83 82 70 56 45 35 30 28 35 37 41 47 52 52 49 50 54 62 65 61 58 62 71 79 85 82 67 53 44 37 28 19 14 17 15 5 5 18 36 47 58 102 71 99 141 136 116 104 92 84 80 74 68 60 46 38 41 51 53 44 32 24 24 24 15 5 3 4 2 0 16 240 420 366 175 47 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 34 101 187 274 344 371 332 267 209 175 162 151 131 108
66 89 117 120 88 71 62 59 59 58 62 62 68 76 90 101 102 97 93 95 96 80 74 71 62 57 56 49 49 45 48 49 50 49 47 46 51 59 64 61 60 62 70 78 85 85 73 60 50 40 31 22 17 17 18 12 9 26 42 50 67 97 87 123 143 126 126 124 107 86 70 56 45 37 29 28 39 53 55 47 35 29 26 29 21 13 12 11 4 2 33 202 327 256 111 24 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 0 0 0 0 12 52 126 226 337 421 413 336 258 211 189 172 148 121
90 91 100 104 92 72 57 51 50 55 63 68 75 91 112 121 121 117 116 118 113 88 75 74 67 67 64 56 55 47 52 49 46 45 45 47 52 59 63 61 64 63 69 79 84 81 75 58 50 44 38 31 24 20 20 21 20 33 46 53 67 93 116 141 128 112 126 126 104 78 58 41 25 15 13 19 40 54 55 47 38 33 30 34 28 23 20 14 5 9 62 192 259 181 79 18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 19 64 150 271 387 448 400 318 256 218 191 164 134
92 93 89 87 83 74 61 55 55 61 71 78 88 108 124 129 131 131 130 126 111 87 74 70 65 60 55 53 49 43 47 49 44 44 46 51 59 65 63 59 67 64 64 69 71 69 61 46 42 41 41 37 31 27 26 32 40 46 50 60 70 106 147 147 109 133 159 132 93 63 44 28 14 3 0 11 43 57 57 50 41 36 35 39 35 31 22 12 3 15 77 197 254 147 61 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 0 0 0 0 0 0 0 0 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 24 90 205 327 417 446 380 313 259 217 184 153
52 55 50 47 50 56 58 60 60 71 80 89 101 116 127 129 132 138 134 129 118 97 79 72 68 60 57 54 52 49 51 57 56 57 61 66 73 76 69 61 69 67 62 60 62 61 55 45 39 41 47 49 41 36 39 46 54 54 57 77 84 132 170 144 112 150 156 111 68 42 26 13 4 0 1 9 34 46 55 55 48 40 39 43 43 35 21 9 2 24 107 233 278 143 54 17 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 0 0 0 0 0 0 7 37 116 243 365 441 420 368 309 256 215 179
19 25 25 25 31 39 48 57 65 83 94 107 117 114 115 119 119 123 123 114 106 96 85 79 79 78 69 61 61 62 70 78 84 90 94 95 99 98 94 91 92 85 74 69 60 58 58 52 48 53 63 72 64 57 59 62 62 64 76 93 101 169 179 130 128 156 128 73 38 21 10 4 1 0 2 9 26 36 54 62 55 46 45 49 46 34 15 4 8 48 157 288 304 156 52 17 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 0 0 0 0 0 0 1 6 35 116 252 381 413 397 356 307 262 222
27 32 36 38 41 48 57 71 87 101 114 129 141 136 151 142 126 121 123 121 118 111 100 96 100 99 84 78 67 72 93 101 106 113 118 122 123 122 124 131 131 119 105 101 77 65 64 62 65 73 86 100 100 89 91 85 72 74 92 122 164 201 167 112 131 136 96 50 23 9 2 0 0 0 2 9 22 33 57 64 58 56 56 56 47 28 9 0 51 137 250 340 304 156 55 15 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 0 0 0 0 0 0 0 0 8 53 157 274 346 372 367 341 305 266
42 46 57 69 79 90 102 116 131 141 148 160 173 168 183 167 152 150 154 154 154 148 133 128 128 121 108 100 96 103 123 115 111 114 122 130 135 136 141 146 148 142 142 145 128 108 84 77 77 85 95 101 100 103 121 117 95 99 115 158 206 189 144 96 112 107 76 43 19 6 1 0 0 0 1 8 17 29 53 60 62 78 79 67 44 20 5 15 136 292 362 371 276 139 51 15 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 0 0 0 0 0 0 0 0 2 10 53 149 241 302 345 354 336 307
30 43 69 92 109 125 143 156 164 177 188 198 207 213 221 223 209 205 203 204 203 190 164 151 146 146 136 131 132 134 140 116 103 106 121 134 143 147 153 161 162 164 168 174 184 185 143 114 97 98 104 103 102 114 139 149 129 131 153 200 212 165 116 81 79 75 57 34 16 5 0 0 0 0 0 2 7 23 45 60 86 111 110 79 42 15 4 51 231 447 432 370 238 113 41 12 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 0 0 0 0 0 0 0 0 0 1 14 56 123 213 305 346 349 324
14 40 76 94 110 131 149 159 165 184 205 223 233 239 247 258 250 240 229 229 226 203 173 158 151 151 142 133 136 141 140 130 115 118 135 152 161 167 177 193 202 200 186 186 204 226 215 174 132 121 127 120 114 133 163 178 167 164 215 229 176 117 80 61 61 61 46 26 11 3 0 0 0 0 0 0 2 19 41 71 121 141 128 76 33 10 6 81 278 488 459 346 193 83 28 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 26 76 156 243 297 313 309
20 52 74 78 93 118 139 151 157 168 192 220 234 243 258 273 264 237 214 203 195 183 172 163 156 149 149 162 150 151 158 161 153 152 165 181 193 200 207 222 234 228 205 197 201 227 234 203 166 153 169 172 161 172 198 207 191 187 233 184 113 72 52 45 50 51 41 22 8 1 0 0 1 5 8 3 2 20 45 90 139 149 117 57 20 6 19 110 289 457 454 297 138 57 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 19 54 108 166 214 236 249
23 43 59 73 93 113 133 152 170 188 209 232 244 247 240 243 245 232 216 205 200 190 183 180 170 161 175 209 178 183 189 195 202 207 217 227 236 235 226 233 249 253 237 208 199 224 235 223 201 191 200 211 209 213 224 216 204 207 201 117 79 47 31 29 33 35 30 16 4 1 0 0 4 21 37 17 11 27 67 114 146 137 87 40 13 14 69 206 389 511 468 275 102 36 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 0 0 0 0 0 0 0 2 11 33 61 90 122 139 144
22 32 51 74 91 106 126 150 169 190 213 235 255 274 263 249 244 239 231 225 222 214 196 197 197 190 199 224 215 203 207 217 238 260 276 284 287 281 251 233 256 279 272 235 213 229 239 224 205 196 200 215 233 234 224 212 217 218 185 113 64 34 20 16 17 17 14 8 1 0 0 0 5 30 60 53 37 57 97 100 101 86 56 29 22 53 170 363 547 608 494 275 95 22 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 0 0 0 0 0 0 0 0 0 0 0 0 0 4 14 28 39 55 70 82
27 28 45 67 85 103 127 156 172 182 202 220 238 256 262 262 258 253 245 238 233 220 206 219 241 246 246 243 229 209 217 233 267 302 318 322 324 322 294 246 254 275 271 245 230 247 243 205 185 186 202 225 240 242 238 227 220 192 142 89 51 25 15 12 9 6 4 1 0 0 0 0 1 13 77 112 85 87 83 52 28 23 23 27 56 135 286 495 649 646 487 267 96 19 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 9 12 19 31 45
36 43 48 76 103 125 151 179 188 178 182 199 227 258 285 301 295 279 261 244 229 222 234 262 284 274 261 250 237 232 251 275 312 339 344 339 331 318 284 234 235 257 255 230 224 239 229 186 173 195 223 245 255 248 230 210 198 145 84 45 26 13 8 10 7 3 1 0 0 0 0 0 0 12 105 137 101 71 48 26 11 7 14 41 100 206 363 548 667 619 447 247 99 26 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 8 18
58 83 70 127 170 183 195 205 200 184 170 166 195 230 266 298 311 293 272 248 241 256 283 304 302 278 261 256 259 277 307 341 376 390 374 348 321 289 254 231 239 255 256 224 226 238 219 175 171 206 234 243 236 218 193 170 153 91 43 15 6 4 3 6 4 1 0 0 0 0 0 0 0 9 94 110 83 52 32 16 8 14 32 68 136 246 388 531 612 550 380 213 97 34 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 0 0 0 0 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
94 100 95 171 230 235 224 204 178 158 146 138 155 185 232 278 296 284 270 252 275 289 296 303 297 279 271 274 291 318 361 403 428 426 394 357 326 295 270 262 267 267 254 218 234 234 209 181 182 209 233 233 218 192 163 141 110 36 27 9 2 1 1 2 1 0 0 0 0 0 0 0 1 7 46 77 66 42 26 18 20 34 62 96 156 255 375 482 527 460 307 174 92 41 14 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
106 95 99 142 191 218 214 183 141 115 119 126 130 152 197 246 259 258 256 261 294 322 311 289 285 306 328 326 328 354 392 421 431 420 399 378 355 326 301 293 293 277 239 217 241 215 195 187 192 210 232 242 228 196 161 145 103 36 26 8 2 1 0 0 0 0 0 0 0 0 0 0 1 9 37 65 59 43 33 33 43 64 90 114 159 242 344 429 445 370 245 139 80 42 19 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
92 88 86 99 134 166 176 164 142 133 133 131 133 153 189 233 238 229 235 263 304 325 324 293 281 324 368 384 401 421 427 432 429 416 413 411 391 354 326 315 311 282 247 244 260 206 184 176 185 206 231 246 233 188 139 119 89 53 32 8 1 1 0 0 0 0 0 0 0 0 0 0 3 18 45 67 64 54 50 55 68 86 104 122 155 230 324 391 379 297 192 108 63 39 23 12 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
77 76 76 86 108 126 134 135 140 159 163 153 153 171 204 242 264 230 221 238 271 305 315 297 283 324 372 435 482 493 470 445 436 431 436 437 421 388 362 344 322 276 262 283 291 238 183 159 164 188 214 223 199 151 124 94 72 57 32 7 1 1 0 0 0 0 0 0 0 0 0 1 8 35 65 79 77 69 69 74 81 89 100 118 156 231 327 372 328 239 148 80 49 32 22 12 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
69 68 69 71 89 100 109 114 128 157 176 174 178 190 213 240 255 240 233 230 238 261 285 294 304 351 397 476 531 532 493 448 439 466 474 469 458 444 430 410 354 281 295 330 320 255 181 142 142 166 189 191 172 154 149 110 70 54 26 6 1 0 0 0 0 0 0 0 0 0 1 5 19 61 89 96 93 87 84 83 83 84 92 116 167 248 341 356 281 189 111 61 37 24 15 8 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
64 64 64 58 65 77 94 98 107 129 152 165 180 194 209 221 226 225 233 233 248 266 282 300 328 374 424 504 552 550 499 457 467 521 537 517 502 486 460 427 385 335 359 367 319 246 179 137 127 142 171 186 185 179 163 119 73 47 23 7 1 0 0 0 0 0 0 0 1 5 13 26 46 91 107 107 103 100 94 83 75 77 93 130 193 273 337 328 232 147 84 45 25 13 6 2 1 0 0 0 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0
66 66 63 58 59 69 80 83 87 99 119 135 153 175 189 189 204 217 224 237 265 319 339 343 362 405 462 523 571 583 517 491 506 543 564 548 521 486 441 417 415 410 408 367 287 216 163 134 125 132 165 204 219 208 175 128 79 42 32 12 3 0 0 0 0 0 0 0 5 20 45 69 87 111 114 108 104 100 90 74 63 71 100 152 228 295 317 273 183 117 64 34 17 7 2 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
78 82 76 66 71 80 81 77 83 87 94 106 123 145 167 181 195 211 224 245 293 356 397 404 415 443 481 529 587 625 543 534 533 539 548 535 501 457 416 404 417 423 395 321 233 180 154 142 137 144 170 206 216 202 174 126 73 40 39 19 6 1 0 0 0 0 0 0 6 31 70 100 113 120 115 110 103 94 83 73 72 89 123 184 265 312 296 228 152 99 53 29 17 9 4 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
101 107 103 96 99 100 91 77 74 75 81 93 114 137 158 177 191 198 211 232 273 343 422 459 460 466 481 529 596 637 598 546 513 506 504 486 452 414 379 368 376 368 326 256 191 171 163 154 149 153 168 186 194 187 173 116 59 31 28 16 4 1 0 0 0 0 0 0 3 25 84 115 121 121 118 114 101 91 88 92 104 125 155 198 255 291 268 205 141 93 54 26 14 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
134 134 132 130 127 127 113 99 96 95 94 102 120 143 156 165 178 179 186 204 232 312 416 482 485 468 474 521 585 634 631 554 486 456 443 423 393 362 333 308 299 280 247 210 183 176 172 149 144 153 163 164 153 143 152 95 39 17 10 3 1 0 0 0 0 0 0 0 2 21 110 134 131 125 120 115 109 101 107 121 135 147 160 175 199 231 225 188 142 99 61 33 15 7 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
170 166 161 155 152 152 133 122 119 123 127 132 143 153 156 157 160 161 171 190 198 256 358 445 479 466 446 468 539 611 626 564 466 401 369 344 324 303 279 252 234 218 208 204 196 181 156 124 124 147 162 157 140 127 125 77 26 11 4 1 0 0 0 0 0 0 0 0 5 34 145 167 148 129 118 116 120 122 131 144 150 149 144 143 153 175 182 166 135 99 64 36 15 5 4 6 7 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
201 200 195 190 185 176 152 137 139 158 178 192 198 199 200 202 198 201 212 221 215 227 295 387 451 476 486 485 494 582 618 566 469 380 304 261 251 250 241 224 214 216 221 226 207 171 131 103 110 142 158 152 134 114 92 55 21 10 3 0 0 0 0 1 6 7 2 3 16 63 158 201 166 132 113 112 125 140 150 154 154 148 139 135 142 152 160 149 126 96 66 41 25 20 21 22 15 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
219 227 226 218 208 196 176 149 139 157 197 236 260 266 263 264 259 266 266 257 247 225 268 352 402 403 386 381 405 521 585 559 477 375 282 219 197 208 223 231 234 236 243 261 207 145 100 83 92 116 136 137 126 95 65 39 22 12 3 1 0 0 2 9 28 37 19 18 41 88 153 201 180 134 113 116 130 143 150 153 157 161 157 155 159 168 173 162 141 116 94 76 62 53 47 35 16 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
232 250 266 262 242 216 191 169 157 161 185 219 253 285 314 326 309 307 292 270 249 244 279 315 307 273 251 255 303 414 537 547 490 399 305 230 186 183 214 240 249 251 262 271 195 113 74 60 59 73 102 132 135 101 63 36 22 15 8 2 0 2 16 40 69 88 79 72 76 92 136 179 175 134 116 121 132 141 146 152 162 173 178 180 189 199 201 187 168 142 121 101 83 64 44 21 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
249 274 304 326 306 263 217 181 156 142 147 162 182 216 275 329 340 353 329 285 253 256 287 295 239 176 164 182 239 351 495 543 506 435 330 249 207 197 212 231 245 263 273 246 162 77 49 52 48 62 105 154 162 119 67 38 30 27 18 4 0 17 64 116 147 154 152 134 101 96 124 155 160 138 121 123 131 138 143 152 167 179 194 203 217 223 214 195 171 139 110 85 59 34 16 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
271 299 332 361 358 315 266 218 178 146 131 127 132 154 201 269 328 364 373 348 334 319 304 280 231 167 149 178 243 340 425 443 427 400 322 267 246 241 237 234 236 250 249 189 105 46 28 36 44 66 111 158 171 130 67 46 50 43 25 9 15 67 152 210 221 198 164 135 89 100 123 147 155 144 131 128 133 138 144 158 175 190 206 224 235 229 210 186 157 122 84 51 24 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
266 309 343 365 360 335 303 261 221 189 166 151 142 142 165 222 283 341 388 409 414 371 305 254 218 192 183 208 263 331 361 349 328 325 321 290 279 281 276 256 235 230 210 123 55 26 21 28 30 47 81 116 130 108 70 64 68 47 26 31 77 159 231 249 229 190 150 114 84 101 142 164 166 154 141 135 137 146 157 173 188 202 221 250 247 229 205 179 146 105 61 24 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
212 260 302 328 331 323 304 272 247 223 204 189 174 167 172 197 236 286 327 347 330 294 250 218 204 204 211 225 259 316 333 305 270 263 287 265 255 267 273 266 246 217 173 75 32 17 15 13 11 17 34 57 83 95 90 90 78 47 34 78 159 227 246 230 194 148 112 84 82 127 185 199 188 165 145 137 143 161 182 200 212 226 245 262 250 229 207 173 129 80 36 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
143 173 212 257 293 305 293 265 242 219 198 180 165 158 166 187 203 203 212 236 251 240 210 177 170 183 203 224 249 285 293 259 215 189 197 198 200 214 222 225 212 180 132 56 21 10 6 3 3 4 7 14 39 81 110 109 83 57 48 103 181 224 213 173 134 96 79 79 107 158 207 218 199 166 149 154 176 203 223 237 249 258 264 263 251 228 196 150 97 50 17 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
100 114 139 182 241 280 289 273 247 222 192 160 135 122 118 121 128 124 130 171 189 179 156 132 120 133 166 214 245 252 237 209 198 179 172 174 173 171 170 170 156 142 110 58 21 9 5 5 8 11 13 13 27 77 108 106 85 65 53 86 149 180 162 120 87 70 71 94 133 175 203 207 195 171 173 203 242 271 280 277 288 295 288 273 250 217 169 114 62 27 8 2 1 1 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 0 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 92 104 128 172 225 262 269 256 227 187 146 114 98 92 87 82 76 76 100 109 109 106 100 94 98 125 166 208 232 227 205 204 200 206 202 187 170 165 169 159 141 111 71 38 22 18 24 33 38 38 38 46 75 97 90 71 52 42 49 82 112 118 100 81 75 89 128 168 197 210 212 210 207 230 277 319 340 335 316 312 325 307 271 227 175 119 71 37 18 10 9 9 8 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 0 0 0 0 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 99 101 103 125 165 211 242 249 227 183 133 95 78 73 64 55 49 50 57 64 72 76 77 76 76 90 145 233 283 281 270 292 279 261 242 218 199 194 195 181 154 120 82 54 42 39 46 53 54 51 52 59 64 79 60 42 26 16 14 23 61 99 105 96 98 122 168 213 239 244 241 240 247 274 325 372 390 378 351 330 328 291 235 179 125 80 48 30 23 25 28 28 22 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
100 117 126 127 131 146 171 202 230 235 199 143 92 63 56 47 35 34 41 53 63 57 52 55 58 67 95 158 250 299 303 290 288 285 262 228 201 190 198 210 200 164 121 85 64 54 48 44 38 35 32 34 38 42 43 29 16 14 10 6 12 42 91 117 127 143 175 219 258 287 290 276 262 262 286 339 399 418 408 380 349 316 264 200 148 104 70 45 32 28 32 36 34 31 26 16 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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