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 9 9 9 9 8 9 8 8 7 6 6 6 6 7 7 8 8 8 8 8 8 7 7 7 8 8 9 9 9 8 8 8 7 7 7 7 7 7 7 8 8 7 7 8 8 9 9 8 7 6 7 9 10 11 12 11 11 10 10 11 12 12 12 11 10 10 10 10 10 9 8 7 7 6 7 8 8 9 11 14 17 16 13 9 8 8 8 8 7 7 7 8 9 9 8 8 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 6 6 6 6 5 5 5 5 5 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 6 6 6 7 7 7 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 9 9 10 10 nan
nan 9 10 11 10 10 10 10 9 8 7 6 6 7 8 8 8 9 9 8 8 7 7 7 7 7 8 8 9 9 9 8 8 7 6 6 6 7 8 9 9 9 9 8 8 8 9 9 7 6 7 9 11 12 12 12 13 13 12 12 12 13 13 12 11 11 11 11 10 10 9 8 7 6 6 7 7 8 8 10 12 14 15 14 11 9 9 9 10 9 9 8 9 9 9 8 7 6 7 7 7 7 7 7 7 7 6 6 5 6 6 6 6 6 6 6 6 6 5 5 5 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 9 9 9 9 8 7 8 8 8 8 9 9 10 10 10 9 9 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 10 10 10 11 11 nan
nan 8 9 10 11 11 11 11 10 8 7 7 7 7 8 8 8 8 9 8 8 7 7 7 7 7 8 8 8 8 8 8 7 7 6 6 6 7 8 9 10 10 10 9 9 10 10 9 8 9 11 12 12 11 11 12 13 14 14 13 13 13 13 12 11 11 11 11 10 10 9 8 7 7 7 7 7 7 8 9 10 12 15 15 13 9 8 9 10 10 10 10 9 9 8 6 6 6 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 8 9 9 9 9 10 10 9 9 8 8 8 7 7 7 8 8 9 10 11 11 11 11 12 12 11 11 11 12 12 12 12 13 14 13 13 13 12 12 12 12 12 12 13 13 12 12 12 12 11 10 10 10 10 10 11 11 11 11 11 11 12 nan
nan 7 8 9 10 10 11 10 10 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 6 7 7 7 8 8 9 9 9 10 10 11 11 11 13 14 14 12 10 9 11 13 15 15 14 13 12 11 11 11 11 11 10 10 10 10 8 8 8 8 8 7 7 7 8 9 11 13 14 11 8 7 8 9 9 10 9 9 7 6 5 5 6 7 8 7 7 7 6 6 6 6 6 6 6 7 7 6 6 6 6 6 6 6 7 7 7 8 9 10 11 12 12 12 13 13 13 12 12 11 10 9 8 8 9 10 11 12 13 13 13 14 15 15 16 16 15 15 15 15 16 17 17 17 16 16 16 16 16 16 16 16 17 17 18 18 18 18 17 15 14 13 12 12 13 13 13 13 13 12 12 nan
nan 7 7 7 8 9 9 9 9 8 7 6 6 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 6 6 6 6 7 8 8 8 8 7 7 7 8 9 10 10 10 11 11 13 13 13 12 10 8 8 9 11 13 14 14 12 11 11 11 10 10 10 10 11 11 10 9 8 9 9 7 7 7 7 7 8 10 11 11 9 7 7 7 8 8 8 8 7 6 6 5 6 7 7 7 7 7 7 6 6 7 6 6 7 7 7 7 7 6 6 6 6 7 7 7 8 9 10 11 11 12 13 14 14 14 15 15 15 15 15 13 11 11 11 12 12 13 14 13 13 13 14 15 15 16 17 17 16 15 16 17 17 18 17 17 17 17 17 18 18 18 18 18 18 20 22 23 23 22 20 18 16 14 14 15 15 15 15 15 14 13 nan
nan 6 6 6 7 8 8 8 8 8 7 6 6 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 9 9 8 7 7 8 9 10 10 9 9 9 11 12 12 11 9 9 8 8 8 9 11 13 12 12 11 11 11 10 9 9 10 12 12 10 9 9 9 8 7 6 6 6 7 8 8 8 8 8 7 7 7 7 8 7 7 7 6 6 6 6 7 7 7 7 8 8 8 7 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 9 9 10 10 11 11 12 13 13 14 14 14 15 15 15 14 13 13 13 13 13 13 12 12 12 12 12 12 12 12 13 13 13 12 13 13 14 15 15 15 15 14 15 15 15 14 14 14 14 15 18 20 21 21 19 17 15 14 14 15 16 16 17 16 15 14 nan
nan 6 6 6 6 7 8 9 9 9 8 7 6 6 7 7 7 7 7 8 8 9 9 9 9 8 8 8 8 8 8 8 7 7 7 8 7 7 7 7 8 9 9 9 8 8 8 10 11 11 10 9 8 8 8 8 9 11 11 11 11 10 11 11 10 10 10 11 11 11 10 9 9 9 8 7 6 6 6 7 7 7 7 7 8 7 7 6 6 7 7 7 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 9 10 11 13 13 13 12 12 13 13 13 13 13 13 12 12 12 12 12 11 11 11 10 10 10 10 9 9 9 9 9 10 11 11 11 11 10 10 9 9 9 8 8 8 9 11 14 15 15 15 14 13 12 13 13 13 14 15 15 15 14 nan
nan 7 7 7 7 7 8 8 9 10 10 9 7 7 7 7 7 8 8 8 9 9 9 9 10 10 10 9 8 8 8 8 7 6 6 6 6 7 7 8 8 8 7 7 7 7 8 9 10 10 10 9 8 8 8 9 10 10 11 11 10 10 10 10 10 10 11 11 11 10 10 10 9 9 8 7 6 6 7 7 7 7 7 7 8 8 7 6 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 8 8 9 9 10 10 10 10 10 10 10 9 8 7 7 6 7 9 11 13 13 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 11 10 10 10 9 9 9 8 7 7 7 8 8 9 9 8 8 7 6 6 6 6 7 7 7 8 9 10 11 11 11 10 10 10 10 10 10 11 11 12 12 nan
nan 7 7 7 7 7 7 8 9 10 10 9 8 7 7 8 8 8 8 9 9 8 8 8 9 9 10 9 8 7 7 7 7 6 5 5 6 7 7 7 7 6 5 5 6 6 7 8 8 8 8 8 7 7 9 10 10 10 10 11 10 9 8 8 8 10 12 12 12 10 10 10 9 9 8 7 7 7 7 7 7 7 7 8 8 8 7 7 6 5 4 5 6 7 7 7 7 7 7 7 7 8 8 8 9 9 10 10 10 10 10 10 11 11 11 11 11 12 11 11 10 8 7 6 6 7 8 10 12 12 12 12 12 12 11 10 9 9 9 9 9 10 10 11 11 10 10 9 9 9 9 8 8 7 7 7 7 8 8 8 8 8 7 7 7 7 7 8 8 9 9 8 8 9 9 9 9 8 8 7 7 7 7 8 9 9 nan
nan 7 7 7 6 6 7 8 8 9 9 9 8 8 7 8 8 8 8 9 8 8 8 8 8 8 8 8 7 7 6 7 7 7 7 6 6 7 7 7 6 5 5 5 5 6 7 8 7 7 7 7 7 8 9 10 9 9 9 10 9 8 8 8 8 9 11 13 13 12 10 10 9 9 8 7 7 7 7 7 7 8 8 8 8 8 8 7 6 6 5 6 7 7 7 7 7 8 8 8 8 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 11 10 10 9 8 6 6 6 6 7 8 9 10 11 11 10 9 8 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 8 8 7 7 7 7 7 7 6 6 6 6 6 6 6 7 nan
nan 6 7 7 6 6 7 7 8 8 8 8 8 8 7 8 8 8 9 9 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 6 7 8 9 9 8 8 8 9 9 9 8 8 9 9 11 12 12 11 10 10 10 10 9 9 9 8 8 7 8 9 9 8 8 8 8 7 7 7 8 8 8 8 7 7 7 9 10 10 11 11 11 12 12 12 12 12 12 11 11 11 10 10 10 9 9 9 10 9 9 9 9 8 6 5 4 4 4 5 6 7 7 6 6 6 6 6 7 8 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 6 6 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 nan
nan 5 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 11 11 10 9 8 8 9 9 8 8 7 7 8 9 9 9 9 9 9 9 10 10 10 10 10 9 10 10 10 10 11 11 11 11 10 10 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 8 7 6 6 6 8 10 12 12 12 12 12 12 12 11 11 11 10 9 9 8 8 7 7 7 7 8 8 9 9 9 8 7 5 3 2 2 2 2 3 3 3 4 5 5 6 7 8 8 8 8 8 7 7 7 7 6 6 6 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 nan
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nan 5 4 4 4 5 6 6 7 7 6 7 7 7 8 9 9 10 9 9 8 8 8 8 8 8 7 7 8 9 9 9 8 8 9 10 11 10 9 9 8 8 8 8 8 8 8 8 9 8 8 7 7 8 9 10 11 10 10 10 10 11 12 12 12 11 10 9 7 7 7 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 8 8 7 7 7 7 7 8 7 6 4 4 4 6 7 8 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 8 8 8 9 9 9 9 9 8 7 7 6 5 5 4 3 3 2 2 3 4 5 5 6 6 5 5 5 5 4 4 4 3 3 3 3 2 2 1 1 0 0 1 1 1 1 1 2 2 2 3 3 3 3 3 3 3 2 2 2 2 2 2 3 3 3 3 3 nan
nan 5 4 4 4 5 5 6 7 7 7 7 7 8 9 10 10 10 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 11 12 13 12 11 10 9 8 8 7 8 8 8 8 8 8 8 8 8 8 9 10 10 10 9 9 9 10 11 11 12 11 11 9 8 7 9 11 11 11 12 12 12 11 9 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 7 6 4 4 4 6 6 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 9 9 9 9 9 8 8 7 7 6 6 5 4 3 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 2 2 2 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 4 4 nan
nan 5 5 5 5 5 5 5 6 6 7 7 8 10 12 12 11 9 9 9 9 9 9 9 10 10 9 9 10 11 12 12 12 13 13 12 12 12 12 11 10 9 8 7 7 8 8 8 8 8 8 8 8 8 9 10 10 9 9 8 8 8 9 10 10 11 11 10 9 9 11 12 12 12 12 13 12 11 10 9 8 8 8 8 8 9 9 10 10 9 9 9 8 8 9 8 8 7 6 5 4 5 6 6 6 7 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 4 4 4 4 nan
nan 6 5 5 5 5 5 5 6 6 7 8 10 11 13 13 12 11 11 11 11 11 11 11 12 12 12 12 12 13 14 15 17 16 14 12 10 10 11 11 11 11 9 8 7 7 8 8 8 8 8 9 8 9 9 9 9 9 8 8 7 8 8 9 9 10 10 10 10 10 12 13 12 11 11 11 10 10 11 10 9 8 8 8 7 7 8 9 10 10 10 9 9 9 9 8 8 8 8 7 5 4 4 5 6 7 7 6 6 6 5 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 5 4 3 3 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 3 3 3 3 3 4 4 4 4 4 4 4 4 nan
nan 7 6 5 5 5 5 6 8 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 13 13 13 12 12 12 13 15 17 16 14 12 11 10 11 12 12 12 10 8 7 7 8 7 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 9 9 10 10 10 11 12 12 11 10 8 9 9 10 10 10 10 9 8 7 7 6 7 8 9 10 9 9 9 9 8 9 9 10 8 6 4 3 3 4 5 6 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 6 5 4 4 3 3 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 nan
nan 8 7 6 6 5 6 7 9 11 12 12 11 10 9 9 10 12 12 12 12 11 12 12 11 11 11 11 11 11 11 13 13 12 12 12 11 11 12 12 12 12 11 9 8 9 8 7 7 8 8 7 7 7 8 9 9 8 8 8 8 8 8 8 7 8 8 9 9 9 10 10 11 10 8 7 7 7 7 8 9 11 12 10 9 7 6 6 7 8 9 9 9 9 9 9 9 10 10 10 8 5 3 2 2 2 2 2 2 2 3 4 5 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 6 6 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 3 nan
nan 9 8 7 6 5 5 6 8 9 9 9 9 9 8 8 10 11 11 11 10 10 11 10 9 9 9 9 10 9 9 10 10 11 12 12 12 12 11 11 11 12 11 10 10 9 8 8 8 8 8 7 7 6 7 8 8 8 7 7 7 7 7 7 7 7 8 9 9 9 10 10 9 8 6 6 5 4 4 4 6 9 12 12 11 8 7 7 8 8 9 9 9 10 10 10 10 9 9 10 10 9 6 4 2 0 -1 -1 -1 -0 1 3 5 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 6 5 5 5 5 5 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 3 nan
nan 11 10 8 7 6 5 5 6 8 8 9 9 8 8 9 11 12 11 10 10 10 9 9 8 7 8 8 9 9 9 10 11 12 12 13 13 13 12 11 11 11 12 12 11 9 8 9 9 9 8 7 6 6 6 6 7 7 7 7 6 6 6 7 7 7 8 8 9 9 10 10 9 7 5 5 4 3 3 3 4 7 10 13 12 9 8 7 7 8 8 9 9 10 10 10 10 8 8 9 10 10 9 6 4 2 2 2 1 -0 -1 1 4 6 7 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 6 6 6 6 6 5 5 6 6 6 6 6 5 5 5 4 4 4 3 nan
nan 15 13 12 10 8 7 7 8 9 10 10 10 9 9 10 11 11 11 10 9 9 8 8 7 7 8 8 9 9 10 12 12 11 11 11 12 13 13 11 10 11 12 13 12 10 9 9 9 8 7 6 5 5 5 6 6 6 7 7 7 6 6 6 7 8 8 8 8 9 10 11 10 8 7 5 4 5 5 5 5 6 8 11 10 9 7 7 7 7 8 9 9 9 10 10 9 8 8 8 8 8 8 7 6 6 6 6 5 2 0 1 3 5 7 8 9 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 7 7 7 7 6 6 6 6 5 5 6 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 7 7 6 6 6 6 6 6 6 6 6 6 5 5 5 4 4 3 3 nan
nan 17 17 15 13 11 9 9 9 10 10 10 10 10 9 10 10 10 10 9 9 8 8 8 7 8 8 9 9 10 11 12 11 9 9 8 9 10 11 10 9 9 10 12 12 11 10 9 7 6 5 5 5 5 5 6 7 7 7 8 8 7 7 7 8 8 9 9 9 10 11 11 10 9 8 5 5 6 7 7 6 6 7 9 9 8 7 7 6 6 8 8 9 9 9 9 8 7 7 7 6 6 6 6 7 7 7 7 7 5 2 2 2 3 5 7 9 11 11 11 11 11 11 10 10 10 9 9 9 9 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 5 5 5 4 4 3 3 nan
nan 17 17 16 15 13 11 10 10 10 10 9 9 9 9 9 10 10 10 9 9 9 8 8 8 9 10 10 11 11 10 9 8 7 6 5 6 7 7 8 8 8 9 10 10 10 9 8 7 6 5 5 5 5 5 6 7 7 8 8 8 8 7 7 7 7 8 8 9 10 10 10 10 9 8 6 5 6 7 7 7 7 7 8 8 8 8 7 6 6 7 8 8 9 8 7 6 7 7 7 6 6 6 7 7 7 7 8 7 6 4 3 2 2 2 4 7 9 10 11 11 11 11 11 11 10 10 9 9 9 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 6 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 5 5 5 5 4 4 3 2 nan
nan 15 16 15 14 13 11 11 10 10 9 9 8 8 8 9 10 10 10 10 10 10 10 9 10 11 13 13 12 11 9 8 6 5 4 4 5 5 5 6 8 8 8 8 8 9 8 8 7 6 5 4 3 3 4 5 6 6 7 8 8 8 7 6 5 5 6 7 8 9 9 10 9 9 8 6 6 6 7 7 7 7 8 8 9 10 9 7 6 5 6 7 7 8 7 6 6 7 8 8 8 7 7 8 8 9 9 9 8 7 7 5 4 3 2 2 4 6 8 9 10 11 11 11 11 10 10 9 9 9 8 8 8 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 5 5 5 5 4 4 3 3 2 nan
nan 13 14 13 13 12 11 10 10 9 8 8 8 8 8 9 10 10 10 10 10 11 11 12 13 14 13 13 12 10 9 8 7 6 6 6 7 6 5 6 6 7 7 7 8 8 8 7 6 4 3 2 2 2 3 3 4 5 6 7 8 8 7 6 4 4 5 5 6 7 8 9 9 9 8 7 7 7 7 7 7 8 8 9 9 10 10 8 7 6 6 6 7 7 6 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 8 7 7 6 4 3 2 3 6 8 9 10 10 10 10 10 10 10 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 7 7 6 6 7 7 7 7 7 7 7 7 6 6 6 6 6 5 5 5 5 5 4 4 3 2 2 nan
nan 12 12 12 12 11 11 10 10 9 9 8 8 8 8 9 10 10 10 10 10 10 11 13 14 14 13 12 11 11 10 10 9 8 8 8 8 7 6 6 5 5 5 6 7 8 7 6 4 3 2 2 3 3 4 4 4 4 4 5 6 7 7 7 6 6 5 5 5 6 7 8 9 9 9 7 7 7 7 7 7 8 8 8 9 9 8 8 8 8 8 7 6 6 6 6 7 8 8 9 8 8 8 9 9 9 9 10 10 10 9 9 8 8 8 6 4 4 5 7 9 10 10 9 9 9 10 10 10 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 7 7 7 6 6 7 7 7 8 7 7 7 7 7 7 6 6 6 5 5 5 5 4 4 3 3 2 2 nan
nan 13 13 12 11 11 11 10 10 10 9 9 8 8 9 9 10 10 10 10 9 10 11 13 13 12 11 11 11 11 10 10 9 9 8 8 8 8 7 6 5 5 5 7 8 8 6 4 3 2 2 3 4 5 6 6 4 3 3 4 4 5 6 7 7 7 6 6 5 5 6 6 8 9 8 8 7 7 7 7 7 8 8 8 7 6 6 7 8 9 9 7 6 5 6 6 7 8 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 9 8 7 7 7 9 10 10 9 8 7 8 10 11 11 10 10 10 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 6 6 6 5 5 5 4 4 4 3 2 2 2 nan
nan 12 12 12 11 11 11 11 11 10 10 8 8 8 9 9 10 10 10 10 9 9 10 11 12 11 11 11 10 10 9 9 8 7 7 8 8 8 7 7 7 7 8 8 9 7 5 3 3 3 3 5 7 8 8 7 5 4 3 3 3 4 5 6 6 7 6 6 6 5 5 6 7 8 8 8 8 7 7 7 7 7 8 8 6 5 5 5 7 8 8 7 6 5 6 8 9 9 9 9 10 10 11 11 10 10 10 10 11 12 12 12 11 11 10 10 9 9 9 10 10 10 8 6 5 8 11 12 12 12 12 12 11 11 10 10 10 10 9 9 8 8 8 8 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 6 6 5 5 5 4 4 3 3 2 2 2 nan
nan 11 11 10 10 10 10 11 11 10 9 9 8 8 8 8 9 10 11 11 10 8 8 9 10 10 11 10 9 9 9 8 8 8 8 9 9 8 7 7 7 8 8 9 8 6 4 3 4 5 6 7 8 8 7 6 5 5 5 5 5 4 4 5 5 6 6 6 6 5 5 5 6 7 8 9 8 8 7 7 7 7 7 7 7 7 6 6 6 5 5 5 5 6 8 9 10 10 9 9 9 9 10 11 10 9 9 9 9 10 11 12 12 11 11 10 10 10 10 10 10 8 6 5 7 11 14 14 14 14 14 14 13 13 13 13 12 12 12 11 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 5 5 4 4 3 3 3 3 nan
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nan 7 8 8 8 9 10 10 10 9 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 10 10 10 10 11 10 10 9 10 10 9 8 8 9 10 10 10 10 9 9 8 8 8 8 8 8 9 9 9 9 8 8 8 8 7 7 7 9 9 9 8 7 6 5 6 7 8 9 10 10 10 10 9 10 10 9 9 9 8 8 7 7 9 10 11 11 10 10 10 10 10 10 10 11 13 14 14 14 13 12 11 9 9 9 9 9 10 11 12 13 15 15 15 13 10 8 7 7 7 8 8 7 6 8 11 13 12 11 10 9 8 8 8 9 9 9 10 10 9 9 8 8 8 8 9 11 15 15 13 9 nan
nan 8 8 9 9 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 11 11 11 11 10 10 10 11 11 11 11 11 12 11 11 10 10 10 10 11 11 11 11 11 10 9 9 10 10 10 9 10 11 10 9 8 8 10 11 10 10 10 9 9 8 8 9 9 9 9 10 10 9 8 8 7 7 6 5 4 5 6 7 7 7 7 8 8 8 9 9 9 10 10 10 10 10 10 10 9 9 10 9 9 8 9 12 14 14 13 12 11 11 11 11 10 10 10 10 10 11 12 12 11 10 9 8 8 8 9 9 10 11 13 14 15 15 14 12 9 6 4 2 2 2 2 3 6 9 10 9 8 8 9 9 9 9 9 9 10 10 10 9 9 8 8 8 8 8 10 12 12 10 7 nan
nan 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 11 10 10 10 10 10 10 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 10 10 9 9 9 9 10 11 11 11 11 10 10 11 11 11 10 10 9 9 8 8 8 9 9 10 10 10 9 9 8 7 6 4 2 2 4 6 7 7 9 10 11 12 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 9 10 13 15 16 15 14 13 12 12 11 10 9 9 8 9 10 10 10 10 10 10 9 9 8 8 8 10 11 13 14 14 14 14 14 13 11 9 7 7 6 7 8 9 9 8 8 9 11 11 11 11 10 10 10 10 10 10 10 11 10 9 8 8 8 9 9 9 8 7 nan
nan 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 9 9 9 10 11 11 12 11 11 11 11 12 12 11 11 9 9 8 8 8 9 9 9 9 10 10 10 9 8 6 3 2 3 5 8 9 10 11 12 13 13 13 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 11 13 14 15 14 13 13 12 11 11 10 9 9 8 9 9 9 9 10 10 10 9 8 7 7 7 9 11 12 13 13 12 13 13 14 15 15 15 15 16 16 17 17 15 14 15 15 16 16 15 14 13 12 11 11 12 13 15 15 13 11 8 8 8 8 9 9 9 9 nan
nan 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 12 12 12 12 11 11 11 11 10 9 9 10 10 11 11 10 10 9 9 10 12 14 13 11 9 8 8 8 8 8 8 8 9 10 10 10 10 9 7 5 5 6 8 9 10 11 11 12 13 13 12 11 10 10 9 9 9 10 10 10 10 9 9 9 9 10 11 11 12 13 13 12 12 11 11 11 10 10 10 9 9 10 10 9 9 9 9 9 8 8 8 8 9 10 11 13 13 12 11 11 12 13 15 17 17 17 18 18 19 19 18 19 19 20 20 20 20 18 16 15 15 15 15 17 18 16 13 10 8 8 8 9 10 11 11 11 nan
nan 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 9 9 9 9 9 9 9 8 8 8 8 9 9 9 10 10 10 11 11 11 11 12 12 12 12 12 12 11 11 10 10 10 10 10 9 8 8 7 7 8 10 15 17 15 11 8 7 7 7 6 6 6 7 9 9 9 9 10 9 7 7 7 9 10 10 10 10 10 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 11 10 10 10 9 9 8 8 8 9 10 10 11 12 13 13 13 12 11 11 11 12 13 14 14 14 14 13 14 14 14 15 16 17 18 19 20 20 19 19 20 20 19 17 14 12 10 9 10 10 11 11 12 11 10 9 nan
nan 9 10 10 10 9 9 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 6 7 8 10 11 10 9 9 9 8 7 6 6 6 7 7 8 9 10 10 10 11 11 11 11 12 12 12 12 12 11 11 11 10 10 9 8 7 6 6 7 8 10 14 19 20 17 12 9 7 6 5 4 3 4 6 8 8 9 9 10 8 7 8 9 10 10 9 9 9 9 9 10 9 9 9 9 9 8 8 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 10 10 9 8 7 8 8 9 10 11 12 14 15 15 14 13 12 12 12 12 12 12 11 10 10 10 10 10 10 10 11 12 13 14 15 16 18 19 21 21 19 15 12 10 10 12 14 14 14 13 11 9 7 7 nan
nan 10 10 10 10 9 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 6 5 4 6 9 11 12 12 12 11 11 9 7 6 6 6 5 5 6 8 9 10 10 10 10 10 10 10 11 11 11 12 11 11 11 10 10 8 6 5 6 7 10 12 15 18 21 21 18 14 10 7 5 2 0 -1 1 4 7 8 9 10 9 6 6 7 8 8 8 7 7 7 8 9 9 9 9 9 9 9 8 9 9 9 10 10 10 9 9 9 9 8 7 7 7 7 7 8 10 11 11 10 10 10 11 11 11 10 9 9 8 8 8 8 9 9 10 10 11 15 16 17 16 13 12 12 12 11 11 11 10 10 10 10 9 8 8 9 9 9 10 10 10 12 14 15 16 17 16 15 13 12 12 13 13 13 11 9 7 7 6 6 nan
nan 9 9 9 9 9 8 8 8 8 7 7 6 6 6 6 7 7 8 8 8 8 7 6 4 3 3 4 7 10 12 13 14 15 13 11 9 8 7 7 6 5 5 6 8 8 9 9 9 10 9 9 9 9 10 11 11 11 10 10 10 8 7 7 8 11 13 15 16 18 19 18 17 14 11 8 5 2 -0 -1 1 5 8 10 10 9 6 4 4 5 5 4 4 4 4 6 8 9 9 9 9 9 9 9 9 9 10 10 10 10 9 8 7 7 7 7 7 7 7 7 8 10 11 11 11 10 11 11 11 11 10 9 9 9 9 9 9 10 10 10 9 9 11 15 17 18 15 12 11 10 10 10 10 10 10 11 11 9 8 7 7 8 9 9 9 9 10 11 11 12 12 13 13 13 13 12 10 7 6 5 4 3 4 6 7 8 nan
nan 8 8 9 9 8 8 8 7 7 7 6 6 5 5 6 6 7 8 8 8 7 6 5 3 2 2 4 6 8 10 12 15 17 16 14 11 9 7 7 7 7 6 6 6 7 7 8 8 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 10 12 13 14 14 15 14 13 13 12 10 9 6 4 3 3 6 9 11 12 10 7 3 2 2 2 3 3 3 4 5 6 7 7 8 8 9 9 9 9 9 10 10 10 10 9 7 6 5 5 5 6 7 8 9 10 11 13 13 12 10 10 10 11 11 10 10 9 9 9 10 10 10 10 10 10 10 9 11 14 16 16 13 11 9 9 9 10 10 10 10 11 10 8 7 7 7 8 9 9 9 10 10 11 11 11 11 11 11 10 10 8 6 3 1 1 1 2 4 7 8 9 nan
nan 7 8 8 8 7 7 7 7 6 6 5 5 5 5 5 6 7 7 7 7 6 5 3 2 1 3 5 6 7 8 10 13 16 17 15 12 9 7 7 8 8 7 6 6 6 7 7 8 8 8 8 8 9 9 10 9 9 9 10 10 11 11 11 12 12 12 11 11 11 11 10 10 11 10 10 9 8 7 8 9 11 11 10 8 5 3 2 2 2 3 4 5 6 7 7 6 6 7 8 8 8 9 10 10 10 10 9 9 7 6 6 6 6 7 7 8 10 11 13 14 14 13 11 9 9 10 10 10 10 10 9 9 10 10 10 9 10 10 10 10 10 10 11 13 14 12 10 9 9 9 10 9 9 9 10 9 9 8 8 8 9 9 9 9 10 11 11 12 11 10 10 9 8 7 6 4 3 3 3 4 5 7 8 9 9 nan
nan 8 8 8 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 6 6 6 5 2 1 1 3 5 7 7 7 8 10 13 15 14 12 9 7 8 9 9 7 5 5 6 7 7 8 8 8 7 7 7 8 9 9 9 9 10 11 12 12 12 12 11 10 9 9 9 10 10 11 11 12 11 10 10 10 10 10 9 8 7 6 4 3 3 3 2 2 3 4 5 6 6 6 7 8 9 9 9 9 10 10 10 9 8 7 7 7 9 10 11 10 10 11 12 13 13 13 13 11 10 9 9 10 10 10 9 9 9 9 9 9 8 8 9 9 10 10 10 9 9 10 11 10 10 10 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 10 10 11 11 10 9 8 7 6 4 3 3 4 5 6 7 8 9 9 9 9 nan
nan 9 9 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 7 6 6 6 5 2 1 2 3 5 7 7 7 7 8 10 13 13 11 9 8 8 9 8 7 5 4 5 6 7 8 8 8 7 7 7 7 7 8 9 9 10 11 12 13 12 11 9 8 7 8 9 10 11 12 13 13 12 11 11 10 9 8 7 6 5 5 4 4 4 4 3 3 2 2 2 3 4 6 8 11 11 11 10 9 9 9 9 8 8 8 9 10 11 12 12 11 11 11 12 11 11 11 11 10 9 9 9 10 10 9 8 8 9 9 8 7 7 8 9 9 10 10 9 8 8 8 8 8 9 9 10 10 9 8 8 9 9 10 11 11 10 10 9 9 9 9 9 10 11 11 10 9 8 5 3 2 2 3 5 7 7 8 9 9 9 9 9 nan
nan 10 10 9 9 9 8 8 8 8 8 9 9 9 9 9 8 8 7 7 7 7 5 2 2 3 4 6 7 8 8 8 8 9 11 13 12 11 9 9 9 8 7 5 4 5 5 7 8 8 8 8 8 7 7 7 8 9 9 10 11 12 12 11 10 9 7 6 7 8 10 11 12 13 13 13 12 11 9 8 7 6 5 5 5 6 6 6 6 6 6 6 6 6 5 6 7 9 11 12 11 10 8 7 7 7 7 8 8 9 10 10 9 8 8 9 10 9 9 8 9 9 9 9 9 9 9 9 8 8 9 9 9 8 8 9 10 11 11 10 10 9 7 7 7 7 8 9 10 11 11 9 8 8 8 9 11 11 11 10 10 9 8 9 9 10 10 11 11 11 11 9 7 6 6 6 7 8 9 9 9 9 9 9 9 9 nan
nan 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 6 4 4 4 6 7 8 8 9 9 9 9 11 13 14 13 11 10 9 9 7 6 4 4 5 7 8 8 8 9 8 8 7 7 8 8 9 10 11 12 12 11 10 8 7 7 8 9 10 10 11 12 12 12 12 10 8 7 6 6 7 8 8 9 9 11 12 12 12 12 12 11 11 10 9 9 10 10 10 9 8 7 6 6 6 7 7 7 7 7 6 7 8 9 9 8 8 8 8 8 8 8 8 8 8 8 9 10 11 11 10 10 10 12 13 13 12 11 9 8 7 7 7 8 9 10 12 12 10 8 7 7 8 10 12 12 12 11 10 8 8 8 9 10 11 11 11 12 12 11 11 12 13 13 13 12 10 10 10 9 9 9 10 10 nan
nan 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 8 8 8 7 6 6 6 7 7 8 9 9 9 9 9 11 12 14 14 13 11 11 10 8 6 4 4 5 7 7 8 9 9 9 8 7 7 7 8 9 10 10 11 11 11 9 8 7 8 9 10 10 9 10 10 11 11 10 9 8 7 8 9 10 11 12 13 14 15 17 17 16 16 15 15 15 14 14 13 13 11 10 9 9 8 8 7 7 7 7 6 6 6 8 10 11 11 10 8 8 8 8 8 8 8 8 8 8 10 11 11 10 9 9 11 12 13 13 12 11 9 8 6 6 7 8 9 10 11 11 11 9 7 7 7 8 11 13 13 13 12 11 9 9 9 9 10 11 11 11 11 12 13 14 16 17 16 15 13 11 10 10 9 9 10 10 11 nan
nan 10 9 9 9 9 9 9 9 9 8 9 9 9 8 8 7 7 7 7 7 7 6 6 6 6 7 7 8 9 9 10 10 9 9 11 13 14 14 13 12 10 8 5 4 4 5 6 7 8 9 10 9 9 8 8 8 8 8 9 9 10 10 10 9 8 8 8 9 9 8 8 8 9 8 8 8 7 7 8 8 10 12 13 13 14 15 16 17 17 17 18 18 18 19 19 19 19 18 16 13 11 10 10 10 9 8 8 7 7 7 8 10 11 11 10 8 8 8 9 9 10 10 10 9 9 10 11 11 10 8 8 9 11 11 11 11 10 9 7 6 6 7 9 10 10 10 11 11 9 7 7 7 8 10 12 13 14 15 13 11 10 9 9 10 10 10 11 11 11 12 13 13 14 13 13 11 11 10 10 10 10 10 10 11 11 nan
nan 9 8 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 6 6 5 5 5 6 7 8 9 9 10 10 9 9 9 11 13 13 13 12 10 8 6 5 5 5 7 8 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 7 7 7 7 7 6 6 6 7 7 9 11 12 12 13 13 13 14 14 15 16 18 20 20 20 21 22 22 22 20 18 16 14 12 11 10 9 9 8 8 8 8 9 9 8 6 5 6 8 9 10 11 11 10 10 10 10 10 9 7 7 8 10 11 11 10 9 9 8 7 7 9 10 12 12 12 12 12 11 9 8 7 8 9 11 12 12 13 13 11 9 8 7 8 9 10 10 11 11 12 12 12 11 10 10 9 9 10 10 10 10 10 10 11 11 11 nan
nan 8 8 8 8 9 8 9 8 8 8 8 8 8 8 8 7 7 7 7 8 8 7 6 5 5 6 6 7 8 9 10 10 10 9 9 11 13 13 12 11 10 9 8 7 6 6 7 8 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 9 8 7 7 7 6 6 6 6 6 6 7 9 11 12 12 12 12 11 12 12 12 13 15 17 18 18 19 20 21 21 20 19 18 16 14 12 11 10 9 8 8 9 9 8 7 6 5 5 7 9 10 11 11 11 10 10 10 9 8 7 7 8 10 10 10 10 10 9 9 8 9 11 13 13 13 12 12 13 12 11 9 9 9 9 10 10 10 10 11 10 9 8 7 8 8 9 9 10 11 11 11 11 11 10 10 11 11 12 12 12 11 11 11 11 11 11 11 nan
nan 8 8 8 8 9 9 9 8 8 7 7 7 8 8 8 8 7 8 8 9 9 7 5 5 5 6 7 7 8 9 10 10 10 10 11 12 13 13 12 10 10 9 8 7 6 7 8 9 10 10 9 8 8 9 9 9 9 9 9 9 9 9 10 10 11 11 10 9 8 7 6 6 6 6 6 7 7 7 9 11 12 13 13 12 11 11 10 10 11 11 12 13 14 15 15 15 15 15 15 15 15 14 13 12 11 10 9 9 9 9 9 9 8 7 7 8 9 11 11 11 11 11 11 10 10 10 10 9 9 10 10 10 10 10 10 10 11 12 13 15 15 15 13 12 12 12 12 11 10 10 10 10 10 9 8 8 9 9 9 9 9 9 9 9 10 11 11 11 11 11 11 11 12 14 15 15 14 13 12 11 11 10 10 10 11 nan
nan 9 9 9 9 9 9 9 8 7 7 7 7 8 8 8 8 8 8 8 9 8 5 4 3 4 6 7 8 8 9 10 11 11 12 13 14 14 13 12 10 9 8 7 6 6 7 9 10 10 10 9 9 9 9 10 10 9 9 9 9 9 9 10 10 11 11 10 9 9 8 7 6 5 5 6 7 8 10 11 13 13 13 12 11 10 10 10 10 11 12 12 13 13 13 12 10 9 8 8 9 10 10 10 10 10 9 9 8 9 9 10 10 10 9 9 10 11 11 11 12 12 11 11 11 11 12 12 12 12 12 11 11 10 11 11 12 13 14 14 14 14 13 13 12 12 12 12 12 12 12 11 10 9 7 6 7 8 10 11 11 11 10 10 9 10 11 11 11 11 11 11 12 14 15 16 16 16 14 13 12 11 10 10 10 11 nan
nan 10 10 10 10 9 9 8 8 7 7 7 7 7 8 8 8 8 8 8 8 6 4 3 4 5 7 7 8 8 9 10 11 12 14 15 15 14 13 11 10 9 8 7 6 7 8 9 10 10 10 9 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 9 9 9 8 6 5 5 5 7 9 11 12 12 12 11 10 10 10 10 10 11 11 12 13 14 13 11 10 7 5 4 6 7 8 8 8 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 12 12 13 13 14 13 13 12 11 12 12 12 12 12 12 11 11 11 10 11 12 12 13 13 14 14 14 12 10 8 6 6 7 9 11 12 12 12 11 10 9 10 10 11 11 12 12 12 13 13 14 15 16 15 14 12 11 11 10 11 12 13 nan
nan 11 11 10 9 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 7 7 6 6 6 7 8 8 7 8 9 10 11 14 16 16 15 13 11 10 10 9 8 8 8 8 9 10 10 10 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 9 8 7 6 5 5 7 8 9 10 10 9 9 9 9 10 10 10 10 11 12 12 13 12 11 10 9 8 9 9 9 8 7 7 7 7 7 7 8 8 8 8 7 6 6 6 6 6 5 6 6 7 8 10 11 12 12 12 12 12 12 11 11 12 13 12 12 11 10 9 8 8 9 9 11 12 13 15 16 17 15 12 9 7 7 7 8 10 12 13 13 12 11 9 8 9 9 11 12 12 13 13 13 13 13 14 15 14 12 12 11 11 11 12 13 14 nan
nan 12 11 10 9 8 8 8 9 9 9 8 7 7 6 7 8 8 8 8 8 7 7 7 7 8 8 8 8 8 9 10 12 14 16 16 14 11 10 9 9 9 9 9 8 9 10 10 10 10 10 10 10 11 11 10 10 10 10 10 9 9 8 8 9 9 9 9 10 10 9 8 7 7 7 6 6 7 8 9 9 9 9 9 10 10 10 9 9 10 11 12 12 12 13 14 16 17 16 15 13 11 9 7 7 6 6 7 7 7 6 6 6 5 6 6 6 6 5 5 4 4 4 5 6 8 9 10 10 10 9 9 10 11 12 11 11 10 9 8 8 8 8 9 10 12 14 15 17 18 15 12 9 8 7 8 9 10 12 13 13 12 10 8 8 9 10 11 12 13 13 13 13 12 12 12 12 11 11 11 10 11 12 13 14 14 nan
nan 12 12 11 10 10 9 9 10 10 9 8 8 7 7 7 7 8 8 8 8 7 7 7 8 8 8 8 8 9 9 10 12 14 17 16 13 10 9 8 9 9 9 8 8 9 10 10 10 10 10 10 11 11 10 10 10 9 9 8 7 6 7 8 9 9 9 9 10 10 10 9 7 7 7 7 7 6 8 10 11 11 10 10 10 10 9 9 9 10 11 12 13 13 15 17 19 20 19 18 16 14 12 10 9 9 8 8 8 8 8 7 8 8 8 8 8 9 9 9 8 6 5 3 3 5 6 7 8 8 7 8 9 10 11 11 10 10 9 9 8 8 8 9 10 12 14 16 18 18 15 11 9 8 8 8 9 10 11 11 11 11 10 10 9 10 11 12 13 14 14 13 12 11 10 9 9 9 10 10 11 12 13 14 14 14 nan
nan 12 13 13 12 12 11 11 11 11 11 10 9 9 8 8 8 9 9 9 8 7 7 7 7 8 8 9 9 9 10 10 12 15 17 16 13 10 8 7 8 8 8 7 7 9 10 11 11 11 11 11 10 10 10 10 10 9 7 5 4 4 6 8 9 10 10 10 11 10 10 8 7 7 7 7 6 6 8 10 12 12 11 11 10 10 9 9 9 10 11 12 13 13 14 15 16 16 16 16 15 14 13 13 13 13 14 14 14 13 12 11 11 10 11 11 11 12 13 14 13 11 9 6 5 5 5 5 5 6 6 7 8 10 11 11 10 10 10 9 9 8 8 9 11 12 13 16 17 16 13 10 8 8 9 9 9 9 10 10 11 11 12 11 11 11 12 13 14 15 15 13 12 10 8 7 8 8 10 10 12 13 15 15 14 13 nan
nan 12 13 13 13 13 12 12 12 13 13 13 12 11 10 10 10 10 10 9 8 8 7 6 7 7 8 9 10 10 10 10 12 15 17 16 14 11 8 7 7 7 7 6 7 9 10 11 12 12 11 11 10 11 11 11 11 10 8 6 5 5 6 8 9 10 10 11 11 11 9 8 7 7 7 7 6 7 9 11 13 12 11 11 10 10 9 10 10 11 11 12 12 12 12 12 11 11 11 12 12 12 13 15 17 19 20 20 19 18 16 15 14 13 13 13 15 15 16 17 16 14 11 9 7 5 4 3 3 4 5 7 9 10 11 10 10 9 10 10 10 9 9 10 10 11 13 15 16 14 11 8 8 9 10 10 10 9 9 10 11 13 14 13 12 12 12 13 14 15 14 13 10 8 6 6 7 9 10 11 13 15 15 14 13 13 nan
nan 12 13 13 13 13 13 13 13 13 13 13 14 13 13 12 11 11 10 9 9 8 7 6 5 6 7 9 9 10 10 10 12 15 17 16 15 12 8 7 7 7 7 7 7 9 11 12 12 11 11 11 12 12 13 13 12 12 11 10 10 10 9 9 9 9 9 10 10 9 8 7 6 6 7 7 7 8 11 12 13 12 12 11 11 11 11 11 11 11 11 11 11 11 10 9 7 7 7 8 9 11 13 15 18 21 22 22 20 19 18 17 16 15 15 15 16 17 17 17 16 14 11 9 8 7 5 4 4 5 6 8 10 11 11 10 9 9 10 10 10 11 10 10 10 10 12 14 14 12 9 7 9 10 11 11 9 8 8 9 12 14 15 14 13 12 12 12 13 13 13 11 9 7 6 7 8 10 11 12 13 14 13 13 13 14 nan
nan 13 13 13 14 14 14 14 13 12 11 11 12 13 13 12 12 11 10 9 9 8 7 6 5 5 6 8 9 9 10 10 11 14 16 16 15 12 9 8 8 8 8 7 7 8 10 11 11 11 11 12 13 13 13 12 12 13 14 15 15 15 12 10 9 8 8 7 7 7 7 6 6 7 8 8 9 10 12 13 13 13 12 12 12 11 11 11 11 11 11 10 10 9 8 6 5 6 7 8 9 10 11 13 15 16 17 17 17 16 16 16 16 15 15 14 14 14 15 16 16 15 13 12 12 12 10 8 7 7 9 11 11 11 10 9 8 9 9 10 10 11 11 10 10 10 11 11 11 10 8 8 11 13 13 11 9 8 8 10 12 14 15 14 13 12 11 11 11 11 10 9 7 6 7 8 9 10 11 11 11 12 12 12 13 14 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
1018 1048 1096 1147 1193 1245 1316 1410 1471 1522 1594 1699 1827 1945 2011 2020 2024 1904 1829 1811 1845 1970 2161 2281 2333 2355 2352 2304 2250 2219 2203 2173 2116 2050 1960 1862 1789 1742 1704 1664 1603 1502 1404 1337 1312 1321 1322 1293 1252 1241 1261 1179 1111 1100 1090 1060 1028 1032 1034 780 668 643 480 246 109 105 156 308 557 805 987 1113 1180 1224 1261 1240 1205 1242 1358 1557 1817 2143 2472 2609 2409 2253 2030 1885 1798 1836 2054 2338 2541 2615 2779 2832 2857 2795 2611 2367 2298 2523 2414 2309 2295 2311 2422 2508 2530 2436 2323 2217 2243 2271 2308 2266 2149 2047 2094 1949 1861 1804 1778 1764 1778 1806 1755 1802 1761 1767 1816 1833 1828 1794 1700 1716 1674 1562 1557 1571 1638 1705 1638 1437 1619 1727 1692 1657 1609 1489 1434 1639 1660 1631 1575 1532 1478 1374 1297 1271 1278 1279 1235 1209 1193 1155 1100 1051 1117 1011 910 905 846 749 765 842 844 728 703 758 845 858 754 673 727 742 786
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820 881 980 1103 1235 1331 1400 1492 1583 1691 1806 1924 2048 2170 2288 2261 2244 2228 2193 2145 2115 2128 2173 2190 2155 2100 2057 2018 1978 1939 1906 1866 1790 1726 1697 1706 1745 1787 1804 1786 1740 1653 1570 1595 1628 1677 1733 1727 1662 1573 1569 1501 1446 1282 985 697 521 443 439 473 454 419 396 384 386 436 582 827 1067 1239 1343 1405 1440 1442 1435 1435 1403 1441 1575 1821 2117 2361 2522 2658 2828 2866 2889 2905 2910 2927 2935 2858 2706 2470 2195 1993 1930 2043 2379 2668 2658 2740 2799 2776 2621 2340 2055 1894 1877 1847 1609 1550 1800 2151 2325 2260 2055 2149 2257 1951 1626 1538 1542 1271 1268 1252 1313 1704 2084 2217 2237 2283 2152 2052 2379 2374 2179 2101 2017 1893 1499 1304 1229 1251 1299 1410 1485 1319 1264 1321 1289 1082 928 844 754 700 689 559 512 523 532 507 455 447 443 441 479 521 511 481 496 437 451 487 481 441 408 410 423 464 497 519 513 567 647 789 1145
793 855 964 1098 1235 1343 1427 1528 1627 1790 1942 2044 2142 2211 2281 2301 2303 2301 2277 2222 2160 2139 2172 2153 2097 2033 1970 1906 1841 1784 1745 1707 1645 1604 1610 1662 1738 1809 1856 1871 1832 1794 1793 1841 1904 1942 1907 1764 1589 1412 1302 1230 1141 945 677 459 354 357 449 530 529 466 403 401 470 560 645 879 1119 1292 1399 1464 1489 1453 1441 1467 1454 1504 1664 1917 2209 2458 2636 2763 2963 3068 3053 2989 2951 2871 2757 2622 2370 2039 1860 1915 2140 2448 2989 2909 2908 2887 2801 2638 2457 2309 2277 2132 1775 1413 1335 1690 2172 2468 2549 2448 2068 1896 1541 1391 1467 1399 1295 1309 1531 1729 1961 2219 2420 2527 2678 2827 2486 2327 2150 1933 1785 1638 1378 1226 1017 995 1120 1183 1251 1447 1417 1329 1535 1705 1525 1314 1203 1058 869 665 580 492 479 495 473 409 389 399 395 411 437 457 509 646 548 481 506 579 616 592 537 481 464 478 462 450 439 451 484 515 803
791 846 948 1078 1226 1355 1450 1569 1700 1881 2044 2153 2260 2321 2351 2366 2364 2348 2313 2256 2193 2152 2141 2100 2036 1961 1886 1810 1730 1659 1607 1568 1536 1530 1559 1623 1715 1819 1894 1954 1957 1967 1986 2028 2083 2061 1821 1418 1132 936 873 880 845 696 466 290 241 295 411 518 547 496 428 412 467 618 743 948 1157 1316 1417 1474 1478 1419 1424 1467 1510 1579 1715 1946 2235 2487 2629 2744 2905 3005 2909 2676 2655 2557 2456 2315 2150 2011 1980 2100 2337 2575 2846 2875 2797 2640 2422 2210 2167 2393 2352 1889 1433 1502 2037 2381 2309 2208 2179 1968 1621 1488 1464 1442 1441 1485 1639 1831 2085 2295 2484 2610 2626 2553 2847 2903 2769 2735 2691 2345 1755 1438 1148 942 853 882 878 885 1018 1251 1320 1501 1655 1742 1679 1455 1181 954 760 585 493 476 498 507 464 413 440 448 452 460 462 460 504 574 556 577 661 808 941 978 901 646 565 569 559 512 471 458 433 415 456
793 837 912 1023 1193 1349 1476 1605 1777 1951 2089 2210 2338 2426 2421 2429 2434 2417 2367 2293 2215 2147 2092 2033 1964 1889 1817 1742 1652 1568 1517 1486 1472 1479 1500 1538 1608 1714 1834 1952 2033 2048 2055 2071 2043 1848 1348 844 574 479 521 600 610 490 275 140 133 221 355 469 506 462 410 456 532 659 790 947 1115 1252 1352 1435 1415 1375 1390 1431 1478 1542 1671 1906 2113 2293 2429 2558 2675 2702 2577 2384 2354 2239 2158 2115 2074 2055 2096 2217 2354 2505 2604 2612 2639 2680 2636 2518 2463 2691 2695 2532 2145 2031 2328 2382 2256 2090 1907 1709 1527 1457 1516 1628 1711 1792 2034 2238 2359 2408 2422 2377 2317 2178 2429 2453 2406 2404 2321 1934 1601 1395 1218 1091 986 1003 1167 1115 1024 1017 1060 1112 1077 971 903 805 737 666 611 579 561 540 527 499 458 429 442 467 469 458 476 461 470 511 552 573 643 778 929 992 926 724 651 682 752 794 557 484 444 429 396
780 823 916 1075 1190 1337 1469 1609 1786 1961 2104 2232 2360 2465 2489 2500 2511 2495 2439 2358 2265 2175 2084 1986 1897 1821 1760 1698 1626 1562 1512 1464 1432 1430 1459 1488 1500 1601 1734 1846 1940 1910 1907 1930 1799 1430 838 404 206 170 239 349 388 250 79 35 46 138 292 419 445 393 377 447 546 662 782 911 1031 1121 1218 1329 1321 1311 1331 1372 1427 1516 1674 1820 1956 2080 2211 2355 2459 2468 2405 2344 2282 2215 2168 2143 2120 2111 2141 2236 2348 2515 2647 2739 2841 2932 2961 2965 2896 2830 2812 2700 2519 2464 2433 2386 2356 2216 1949 1707 1550 1498 1594 1860 1912 1978 2117 2195 2172 2103 2051 1962 1956 1912 1920 1872 1785 1762 1910 1738 1562 1451 1365 1233 1073 1003 1000 896 845 786 717 663 599 541 538 526 494 487 492 497 492 460 439 415 401 404 431 448 427 403 392 324 296 292 341 420 444 467 511 540 528 530 536 566 639 738 594 516 467 434 426
750 794 894 1080 1193 1324 1449 1588 1752 1929 2096 2232 2324 2419 2481 2522 2548 2545 2511 2459 2384 2277 2142 2003 1867 1761 1696 1652 1607 1559 1520 1486 1459 1461 1494 1531 1558 1686 1837 1880 1832 1728 1726 1743 1589 1174 612 197 51 29 51 104 147 74 18 6 16 77 199 302 311 291 343 427 517 626 713 794 906 1015 1105 1187 1220 1240 1259 1293 1365 1474 1613 1709 1822 1965 2105 2225 2299 2307 2285 2255 2237 2274 2307 2279 2211 2184 2219 2297 2392 2523 2637 2748 2776 2693 2639 2592 2484 2551 2635 2607 2532 2426 2224 2096 2298 2261 1996 1733 1613 1635 1750 2017 1996 1962 1928 1860 1761 1684 1713 1738 1810 1815 1740 1641 1554 1459 1551 1522 1480 1477 1419 1284 1130 1000 905 788 743 701 651 610 592 595 579 540 483 443 419 388 333 331 336 325 331 357 395 421 370 313 243 177 162 202 276 338 340 352 327 330 318 314 312 321 371 430 455 439 364 322 368
712 750 830 980 1141 1290 1421 1554 1702 1859 2020 2181 2281 2389 2465 2519 2555 2576 2583 2577 2517 2402 2261 2126 1964 1809 1702 1642 1610 1570 1594 1614 1618 1624 1637 1644 1655 1767 1941 1919 1713 1689 1758 1688 1553 1215 614 154 9 2 3 7 10 6 1 0 5 29 80 130 140 160 259 405 494 572 625 673 791 916 993 1050 1095 1143 1190 1240 1320 1426 1535 1616 1699 1838 1975 2053 2072 2059 2037 2023 2017 2029 2058 2089 2106 2139 2220 2288 2313 2288 2200 2077 2037 2106 2149 2123 2174 2370 2487 2445 2373 2276 1908 1897 2125 2083 1873 1765 1777 1839 1806 1785 1723 1621 1500 1377 1312 1367 1530 1698 1822 1855 1771 1594 1416 1338 1464 1550 1534 1424 1267 1121 984 883 847 780 730 691 653 624 605 606 574 526 467 408 358 318 288 282 285 290 313 348 360 333 283 264 224 188 196 250 318 346 305 314 320 347 365 345 287 291 304 299 275 255 239 220 230
687 722 797 921 1096 1262 1397 1527 1657 1786 1922 2075 2229 2371 2469 2532 2581 2612 2615 2606 2579 2501 2397 2297 2174 2016 1848 1724 1666 1662 1710 1761 1791 1799 1800 1804 1814 1857 1988 1900 1866 1871 1792 1662 1527 1281 571 138 9 0 0 0 0 0 0 0 0 6 19 31 37 59 113 181 218 312 452 543 658 749 819 881 934 1016 1123 1203 1289 1401 1498 1517 1566 1660 1752 1793 1779 1758 1751 1746 1727 1720 1741 1769 1837 1961 2134 2143 2057 1966 1903 1847 1851 1967 2073 2183 2307 2388 2370 2276 2176 2064 1853 1914 1909 1773 1664 1701 1684 1624 1507 1374 1245 1139 1049 944 943 1089 1322 1557 1749 1844 1799 1686 1692 1722 1677 1496 1311 1137 976 853 779 718 674 653 644 631 592 557 516 489 464 425 370 321 284 251 230 237 246 256 279 318 329 294 250 245 236 218 237 296 324 317 256 225 233 258 299 351 294 270 274 264 215 187 168 158 168
701 735 803 900 1063 1226 1379 1515 1625 1724 1849 1994 2145 2269 2382 2499 2594 2644 2645 2606 2583 2560 2509 2446 2370 2257 2093 1917 1832 1826 1851 1890 1918 1911 1873 1854 1928 1985 2071 2059 2009 1928 1778 1590 1434 1297 561 119 7 0 0 0 0 0 0 0 0 1 2 2 3 10 18 29 38 73 170 299 401 494 559 625 700 807 938 1034 1094 1207 1268 1291 1319 1366 1423 1467 1439 1423 1434 1451 1463 1488 1545 1616 1708 1862 2109 2179 2102 2018 2022 2081 2162 2199 2235 2283 2313 2294 2223 2124 2048 1989 1836 1715 1623 1525 1458 1496 1409 1290 1153 1017 900 816 754 680 684 781 964 1190 1405 1548 1578 1581 1629 1563 1393 1183 999 847 735 656 617 582 541 513 513 519 488 452 411 386 372 338 285 247 230 223 221 220 212 206 216 245 265 266 230 214 217 201 197 238 228 213 179 154 158 157 146 183 173 155 168 181 144 134 134 138 130
749 785 859 963 1098 1225 1376 1512 1614 1702 1805 1942 2090 2224 2357 2482 2583 2648 2666 2623 2606 2597 2575 2545 2514 2459 2335 2180 2067 2007 1996 2008 2005 1964 1900 1864 1938 2029 2118 2124 2036 1896 1739 1548 1321 918 352 55 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 9 37 81 118 217 262 310 377 437 503 675 645 777 859 881 906 951 979 1082 1081 1081 1106 1148 1206 1288 1394 1540 1718 1872 2075 2211 2259 2276 2235 2260 2318 2302 2237 2174 2134 2094 2031 1945 1854 1716 1573 1465 1392 1333 1253 1186 1077 954 827 718 644 598 554 516 497 502 575 726 873 984 1054 1105 1167 1129 998 866 745 639 572 524 493 464 438 420 404 394 384 368 350 334 311 279 241 210 196 200 209 204 184 170 166 169 182 198 202 194 185 168 175 170 144 114 93 90 96 89 80 75 72 68 63 68 50 43 60 76 77
799 839 911 1014 1161 1274 1401 1529 1632 1718 1806 1913 2024 2159 2290 2416 2530 2612 2653 2636 2608 2590 2592 2586 2560 2519 2438 2346 2235 2135 2083 2068 2045 1984 1937 1906 1953 2038 2103 2094 2014 1884 1660 1301 863 376 93 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 35 56 83 118 138 138 221 233 299 341 377 459 559 537 674 726 757 801 871 970 1072 1180 1345 1538 1695 1847 1985 2108 2300 2274 2245 2197 2111 2009 1929 1893 1855 1780 1693 1574 1432 1311 1232 1162 1097 982 858 719 590 498 437 408 393 385 377 366 360 378 426 482 524 563 623 695 723 697 653 591 517 460 424 402 389 379 366 347 332 319 308 298 283 260 233 208 187 168 164 172 164 147 134 124 119 120 121 122 118 113 105 104 92 71 52 42 40 41 37 28 23 22 21 18 20 19 20 22 28 36
849 881 936 1075 1209 1335 1463 1583 1687 1777 1856 1936 2013 2108 2217 2335 2448 2530 2558 2556 2526 2526 2547 2542 2503 2465 2426 2391 2321 2237 2163 2113 2073 2017 1970 1941 1962 2015 2050 2024 1943 1809 1337 730 306 81 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 9 17 24 24 41 54 73 93 111 150 218 242 314 366 421 485 549 615 761 885 1042 1194 1347 1497 1616 1698 1842 1979 2008 1923 1813 1721 1669 1631 1570 1499 1422 1325 1198 1076 998 906 796 681 559 433 330 279 237 223 239 250 257 260 263 269 276 289 311 333 370 415 455 479 477 463 420 381 353 335 324 315 309 299 286 270 255 242 229 209 190 173 157 139 123 115 105 99 91 82 76 71 65 56 42 43 42 31 12 3 7 4 10 15 12 3 2 6 7 11 10 10 12 10 9 10
927 939 984 1129 1280 1423 1551 1663 1765 1863 1960 2032 2076 2120 2183 2270 2362 2417 2438 2485 2411 2391 2406 2402 2379 2365 2372 2392 2347 2279 2205 2137 2085 2040 1998 1968 1962 1966 1961 1923 1818 1557 808 259 52 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 2 3 4 5 7 9 10 18 14 64 88 115 183 314 461 409 489 581 703 843 978 1105 1240 1324 1415 1522 1600 1627 1582 1472 1420 1366 1292 1223 1145 1052 949 848 755 653 542 431 327 239 174 142 124 119 141 157 162 167 176 189 192 193 209 225 241 261 287 318 338 341 327 314 305 290 273 260 254 247 236 222 207 193 177 162 148 133 118 102 82 62 52 52 48 40 32 24 27 19 11 11 9 4 1 0 0 0 2 3 2 0 0 0 1 3 2 1 2 1 1 1
1056 1037 1068 1183 1333 1479 1611 1729 1836 1933 2024 2083 2121 2154 2199 2253 2291 2293 2339 2339 2246 2199 2201 2212 2219 2236 2289 2328 2303 2267 2234 2191 2140 2097 2064 2023 1978 1886 1785 1714 1530 972 326 59 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 7 11 17 65 191 308 401 407 394 468 589 704 804 901 937 980 1090 1229 1343 1396 1290 1174 1114 1048 967 875 787 709 618 534 456 372 280 194 134 102 81 72 71 81 90 92 95 104 129 131 125 120 110 107 147 175 215 237 235 233 243 253 255 244 229 216 205 194 182 169 156 143 132 119 103 86 68 54 39 32 24 17 13 11 9 7 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1221 1179 1176 1246 1366 1496 1617 1737 1865 1967 2049 2116 2166 2202 2233 2246 2220 2199 2244 2212 2111 2031 2017 2045 2074 2110 2185 2217 2210 2199 2189 2165 2138 2142 2117 1972 1762 1483 1253 1130 863 336 62 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10 43 84 129 195 293 407 512 626 663 627 621 752 883 947 1042 1133 1121 976 892 817 733 652 585 522 448 391 335 272 201 128 74 55 49 48 46 45 46 46 40 47 52 52 47 44 46 59 81 105 131 137 132 143 172 202 221 225 214 200 187 177 167 154 143 132 121 108 93 74 55 46 30 14 6 3 3 4 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1387 1346 1310 1325 1409 1525 1638 1750 1886 1999 2089 2165 2222 2241 2221 2184 2146 2184 2186 2107 1962 1872 1879 1906 1927 1987 2081 2099 2078 2054 2032 2004 1982 2080 1859 1366 816 471 391 368 230 55 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 3 3 3 3 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 12 51 178 343 465 588 546 431 394 429 484 571 674 807 918 820 719 643 573 512 463 415 364 313 260 201 132 63 32 25 24 27 30 31 28 22 13 11 9 5 6 16 30 43 45 54 70 74 68 87 110 133 158 176 183 186 183 179 174 164 154 141 124 109 91 70 48 27 11 6 3 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1538 1511 1460 1428 1490 1593 1695 1803 1917 2030 2138 2222 2277 2255 2189 2177 2192 2180 2161 2085 1936 1824 1808 1794 1776 1807 1856 1828 1735 1638 1572 1496 1446 1447 1040 531 165 16 8 14 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 2 3 3 4 4 4 3 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 15 65 156 274 356 382 326 293 293 286 291 352 485 656 672 607 544 483 429 383 336 294 250 201 145 86 40 27 24 25 28 30 31 30 20 11 8 10 12 14 19 23 25 27 30 36 45 50 62 70 80 90 99 115 135 152 160 162 160 156 144 126 105 76 56 40 27 19 15 12 8 7 5 3 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1663 1653 1600 1564 1596 1671 1758 1848 1940 2061 2182 2221 2242 2247 2233 2246 2235 2166 2105 2013 1874 1753 1694 1617 1532 1472 1387 1249 1175 1250 1335 1019 741 492 250 82 11 1 1 0 0 0 0 1 0 0 0 0 0 0 0 1 1 1 1 0 0 1 1 2 2 2 2 2 3 3 3 3 3 2 2 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 11 38 76 103 152 172 177 163 133 125 158 231 346 404 433 467 389 334 284 242 206 172 135 90 53 31 23 23 24 26 29 30 35 36 29 25 25 23 28 30 27 24 23 25 32 37 37 38 42 47 51 54 61 74 89 104 112 115 117 117 108 87 61 46 37 30 26 22 20 17 14 12 11 9 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1723 1729 1697 1668 1671 1719 1802 1885 1935 2041 2084 2111 2161 2222 2254 2244 2184 2023 1871 1707 1547 1430 1360 1272 1189 1120 970 800 774 916 942 533 157 44 11 0 0 0 0 0 0 0 1 1 1 1 0 0 0 1 1 1 2 2 3 2 2 2 2 2 3 3 2 2 3 3 3 3 3 2 2 4 4 3 3 3 2 1 1 1 1 0 0 0 0 0 0 0 0 0 1 4 7 16 36 56 65 57 44 46 65 88 111 157 231 287 222 172 137 115 98 78 58 38 23 14 12 14 16 20 20 19 23 25 23 25 33 36 43 44 38 32 27 24 25 26 18 19 23 27 30 31 35 40 45 54 63 68 70 77 77 66 54 44 36 32 29 28 26 24 22 20 16 14 12 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1749 1765 1767 1759 1764 1808 1883 1928 1933 1912 1908 1961 2052 2122 2139 2178 2048 1762 1555 1366 1193 1096 1065 1032 1053 1047 847 588 443 409 341 158 31 0 1 1 1 1 0 0 1 1 1 1 2 1 0 0 1 1 1 1 2 3 3 3 3 3 2 2 2 2 2 2 2 3 3 3 2 2 2 3 4 4 4 4 4 3 3 2 2 0 0 0 0 0 0 0 0 0 0 0 0 4 11 17 17 11 7 12 19 28 39 55 71 72 51 15 7 15 19 14 8 7 5 3 1 1 3 6 5 5 8 12 14 11 25 39 48 49 43 34 25 16 16 17 12 11 14 18 21 20 21 24 29 35 40 43 47 51 51 49 46 43 34 32 31 29 28 27 26 24 21 19 17 13 9 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1888 1872 1861 1850 1844 1880 1967 1960 1769 1576 1529 1587 1640 1606 1532 1716 1564 1354 1262 1184 1079 1011 1004 1128 1285 1305 1080 787 589 394 187 67 14 1 0 0 0 1 1 1 1 1 1 1 1 1 0 0 0 0 0 1 1 2 2 3 2 2 2 1 1 1 1 2 2 2 2 3 2 1 1 1 2 3 4 4 4 4 4 3 2 1 1 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 1 2 6 10 10 8 6 3 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 2 5 10 13 23 35 43 44 41 34 30 28 23 18 14 14 16 19 18 17 16 18 22 27 27 26 27 30 32 34 34 34 32 30 29 28 27 26 24 23 22 21 19 17 16 13 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1980 1978 1972 1983 2007 2016 1972 1807 1579 1401 1192 1045 979 890 745 748 634 741 915 1024 1047 1081 1220 1464 1634 1570 1249 827 502 340 173 43 5 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 0 0 0 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 2 2 1 1 1 1 2 3 4 4 4 4 4 3 3 2 1 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 1 2 5 24 34 39 41 39 35 32 31 27 23 21 20 19 24 23 19 16 16 17 20 19 18 18 20 21 25 28 31 32 31 32 32 27 26 26 27 25 24 23 22 20 19 16 10 5 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1610 1799 1933 2044 2116 2060 1771 1475 1354 1257 950 703 630 544 452 387 365 482 688 861 969 1163 1453 1692 1732 1569 1262 880 492 254 75 15 1 0 0 1 1 0 0 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 1 1 0 1 1 1 1 1 1 1 1 2 3 3 3 4 4 4 3 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 16 28 32 35 37 32 30 29 28 25 23 23 21 25 26 23 19 15 13 14 15 15 15 16 19 25 28 30 31 32 33 32 30 29 29 30 30 30 29 27 24 22 21 18 13 9 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0
1095 1276 1432 1578 1632 1533 1372 1259 1114 1029 861 663 513 375 289 239 262 373 513 651 837 1154 1561 1555 1261 902 575 270 39 3 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 3 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 1 1 1 1 2 1 1 2 3 3 3 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 10 13 16 20 22 24 25 25 24 20 20 18 19 20 20 18 12 11 10 11 13 14 17 24 27 28 29 30 32 32 32 31 31 32 33 33 33 33 32 30 29 27 24 19 16 11 7 4 1 0 0 0 0 0 0 0 0 0 0 0
553 621 734 922 1132 1243 1120 937 712 557 403 257 183 167 155 152 170 236 309 377 516 668 688 498 290 155 79 28 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 3 4 3 3 2 2 1 1 1 0 1 1 1 1 1 2 2 1 0 0 0 1 1 1 1 1 1 1 1 2 2 1 1 1 2 2 2 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 6 8 9 10 14 13 14 14 15 14 12 11 8 7 5 5 7 12 17 23 25 26 26 28 29 31 32 31 31 32 33 33 34 34 34 34 34 33 31 28 23 19 15 12 10 4 3 1 0 0 0 0 0 0 0 0
267 329 405 517 649 707 569 487 350 242 169 121 102 100 98 95 91 113 138 148 180 192 120 49 14 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 5 4 3 2 1 0 0 1 1 1 1 1 2 2 2 2 1 0 0 0 1 1 2 1 1 2 2 1 1 1 1 1 1 2 1 1 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 1 4 5 7 9 10 10 6 2 2 2 2 4 5 7 13 18 22 24 25 27 28 31 32 32 32 33 34 34 36 37 37 37 38 37 35 34 31 28 25 21 18 15 13 11 8 5 3 1 0 0 0 0
120 147 186 246 303 308 283 237 178 132 107 93 84 77 67 60 56 55 52 46 43 37 23 8 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 6 6 5 2 1 1 1 1 1 1 1 1 2 3 3 2 1 1 1 1 1 2 2 2 2 3 2 3 3 3 2 2 2 1 1 1 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 1 1 2 2 4 2 0 0 0 1 2 1 2 8 15 20 24 27 29 31 32 33 33 33 35 39 43 43 42 43 43 42 42 41 40 39 36 33 31 28 27 25 23 20 16 13 8 5 2 1 0
44 59 75 94 111 105 109 105 97 92 90 86 74 64 52 44 38 32 26 22 16 10 6 3 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 3 5 6 7 6 3 1 1 1 1 1 1 1 1 2 2 2 3 1 2 2 2 2 2 3 3 3 4 4 3 3 4 4 3 3 2 1 1 2 2 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 0 2 6 13 19 24 27 28 30 33 36 37 38 43 46 46 47 50 51 51 51 52 51 49 47 45 43 43 42 39 36 34 31 28 24 19 13 9 7 4
3 12 26 37 39 40 47 55 60 65 70 69 58 48 40 33 25 18 11 10 7 4 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 1 2 2 2 2 3 3 4 5 6 4 1 0 0 0 0 0 0 0 0 1 1 1 2 1 2 2 3 3 4 4 3 4 5 5 5 5 5 5 4 4 3 2 2 3 2 2 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 2 7 12 19 23 27 31 35 39 41 42 44 47 48 49 52 57 59 60 62 63 64 64 63 60 59 58 56 52 50 48 43 38 34 29 24 21 19 17
0 0 3 8 13 17 16 16 24 34 40 41 37 32 26 21 15 9 4 6 4 2 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 1 1 2 3 4 5 5 6 7 5 1 0 0 0 0 0 0 1 0 0 0 0 0 1 1 1 1 2 3 4 5 4 5 5 5 6 7 7 5 5 4 4 3 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 9 13 18 24 30 36 39 42 45 48 50 51 53 57 64 70 72 75 77 75 76 74 71 69 67 64 62 64 65 62 56 50 46 42 39 38 37
0 0 0 0 2 3 1 1 5 10 15 17 16 15 13 12 10 8 6 6 5 2 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 1 1 1 3 5 6 7 8 7 4 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 2 4 4 5 6 5 5 5 5 4 4 3 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 1 2 2 0 0 0 0 0 0 1 5 8 13 19 25 35 41 45 49 51 52 54 60 68 77 82 85 86 88 88 87 82 78 76 76 76 80 84 87 86 84 80 76 72 69 67 65
0 0 0 0 0 0 0 0 0 1 3 3 4 4 4 4 6 6 7 7 5 2 1 1 0 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 2 4 6 7 7 4 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 0 0 0 1 2 4 5 6 6 5 4 4 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 3 8 14 16 14 11 8 5 2 2 1 2 6 10 14 18 22 34 41 47 55 61 64 71 75 82 89 94 95 95 95 93 91 86 84 86 90 95 99 101 103 104 106 108 105 102 101 98 91
0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 0 1 0 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 1 2 3 4 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 0 0 1 2 3 4 5 5 5 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 4 7 8 13 22 29 31 29 25 21 19 13 12 14 17 19 22 23 32 40 46 53 62 68 73 79 85 90 96 100 101 100 99 95 91 88 86 90 99 106 107 109 110 109 115 124 124 121 118 114 109
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