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 9 10 10 10 9 8 8 8 7 7 7 8 7 6 7 8 9 8 7 6 5 4 5 6 7 7 6 5 5 6 8 7 6 7 7 7 7 7 7 7 9 9 9 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 6 7 8 9 9 9 8 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 6 7 7 7 8 8 8 8 8 9 10 10 10 10 9 8 7 7 5 5 5 5 6 7 7 8 7 6 6 6 nan
nan 9 10 10 10 9 8 8 9 8 7 7 7 7 6 6 7 8 8 7 5 5 5 5 6 7 7 7 6 5 6 7 7 7 7 7 7 7 7 7 8 9 9 8 8 8 7 7 7 7 7 7 7 8 8 9 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 8 9 8 8 7 7 7 7 7 7 7 8 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 8 8 8 9 9 10 11 10 10 9 9 8 6 5 5 6 6 6 6 7 7 7 7 6 6 nan
nan 10 10 10 9 9 8 8 9 9 8 8 8 7 7 6 6 8 8 6 5 5 5 5 6 6 7 7 7 5 5 7 8 8 7 7 8 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 8 8 9 9 8 8 7 7 7 8 8 8 8 9 9 8 8 8 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 8 8 8 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 9 10 10 10 10 10 10 10 8 6 6 6 6 6 6 6 6 6 7 7 7 7 nan
nan 12 11 9 9 8 8 8 9 9 9 9 9 8 7 6 7 8 7 6 5 5 5 5 5 6 7 8 7 6 5 7 8 8 7 7 8 8 7 6 6 8 8 8 8 8 8 7 7 7 7 7 7 8 8 9 9 8 8 7 7 8 8 9 9 9 10 10 10 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 8 7 7 7 8 8 8 8 9 9 8 7 7 7 7 8 8 8 8 7 7 8 8 8 9 10 10 9 10 10 10 10 7 6 7 7 7 6 6 6 6 6 7 7 7 7 nan
nan 12 10 9 9 9 8 9 9 9 10 10 10 9 8 7 8 8 7 6 6 5 5 5 5 5 6 7 6 6 6 7 8 8 8 8 8 8 8 7 6 8 8 8 7 7 7 7 7 7 7 7 8 8 9 10 9 9 8 8 8 9 9 9 9 9 10 11 10 10 9 9 9 8 7 7 7 7 7 7 7 7 7 7 8 9 9 9 7 6 7 7 8 8 8 9 9 10 9 9 8 7 8 8 9 10 9 9 9 9 8 8 9 9 9 9 9 10 10 8 6 7 7 7 7 6 6 6 7 7 7 7 7 7 nan
nan 11 10 9 9 9 9 8 8 9 9 10 10 9 8 8 8 8 7 6 6 5 4 4 5 5 6 5 5 5 7 8 8 8 8 8 8 8 8 7 7 8 8 7 7 7 7 7 7 7 7 8 8 9 10 10 10 9 9 8 8 9 9 9 10 10 10 10 10 10 10 10 10 9 8 8 7 7 7 7 7 8 8 8 9 9 9 8 7 6 7 7 8 8 8 9 9 10 10 10 9 9 9 10 10 11 11 12 12 11 10 8 8 8 9 9 9 9 9 7 6 7 7 7 7 7 7 7 7 7 7 7 8 8 nan
nan 10 10 10 10 9 9 8 7 7 9 10 11 10 9 9 8 8 7 6 6 5 4 5 5 5 6 6 6 6 7 7 8 8 8 8 8 8 7 7 7 8 8 7 7 7 7 7 7 7 7 8 9 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 10 9 8 8 8 8 8 8 8 8 9 10 10 9 7 7 7 7 8 7 7 7 7 8 9 9 9 10 10 11 10 9 10 11 13 14 13 11 9 8 8 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 nan
nan 11 11 10 10 9 8 7 6 7 8 10 11 11 11 10 8 7 7 6 5 5 5 5 5 5 6 7 7 7 7 6 7 8 10 10 9 7 6 6 8 9 9 7 7 7 7 7 7 7 8 9 10 11 10 9 9 9 10 10 10 10 10 10 10 10 11 10 10 9 9 10 10 10 9 8 8 8 8 8 8 8 9 9 10 10 9 8 8 8 8 7 7 6 6 6 6 6 7 9 10 11 10 9 7 8 10 13 14 14 12 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 nan
nan 11 11 10 10 9 8 6 6 6 8 10 11 12 11 9 8 7 7 6 5 4 5 5 5 6 6 7 7 8 8 7 7 9 10 9 9 8 7 7 8 8 8 7 7 7 7 7 7 8 9 11 11 11 11 10 9 10 11 11 11 10 10 9 10 10 10 9 9 9 8 9 9 9 9 8 8 8 8 9 9 9 9 9 10 10 10 9 8 8 7 6 5 5 4 5 4 5 7 9 11 12 11 9 7 7 9 11 12 13 12 10 8 8 8 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 8 8 nan
nan 12 11 11 10 9 8 6 6 6 8 9 11 11 10 9 8 7 7 7 6 5 5 5 6 7 7 7 7 8 8 8 7 8 8 9 9 9 9 8 7 7 7 7 7 7 7 7 8 9 11 12 12 12 11 11 11 11 11 11 11 10 9 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 9 10 10 10 9 8 7 6 5 4 4 4 4 5 6 7 9 11 12 12 9 8 7 8 9 10 12 12 10 9 8 7 7 6 6 6 7 8 9 9 8 7 7 7 7 7 7 7 7 7 7 nan
nan 12 12 11 11 9 8 7 6 7 8 9 10 10 9 8 8 9 8 8 7 6 5 5 6 7 7 8 8 8 8 8 8 8 8 9 9 9 9 8 6 6 6 7 7 7 8 9 10 11 12 12 12 12 11 11 11 11 12 11 10 8 7 6 7 8 7 7 7 7 7 7 7 8 8 8 8 9 9 9 10 10 10 9 10 9 9 8 7 6 5 4 4 4 5 6 6 7 8 9 10 11 11 10 8 7 7 8 9 11 12 11 9 8 7 7 6 6 6 7 8 9 8 7 6 6 7 7 7 7 7 7 7 7 nan
nan 13 13 12 11 10 9 8 7 7 8 9 10 10 9 8 8 9 9 9 8 7 5 5 6 7 8 8 8 7 8 9 9 9 8 8 9 9 8 7 6 6 6 6 7 9 10 10 11 11 11 11 11 11 11 11 11 11 11 10 8 6 5 5 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 8 7 7 6 6 6 6 6 7 7 8 7 7 8 10 10 10 10 9 8 7 8 9 11 11 11 10 9 8 7 7 7 6 7 8 8 8 6 5 6 6 6 6 6 7 7 7 7 nan
nan 14 14 13 12 10 9 9 8 7 7 9 10 10 10 9 9 10 10 10 9 7 5 4 5 7 8 8 7 7 8 9 9 8 7 8 9 9 8 6 5 5 6 7 9 10 11 11 11 10 10 10 10 11 11 11 11 11 10 8 6 4 4 6 7 7 7 6 6 6 6 6 6 7 8 8 8 8 8 8 8 7 7 8 9 10 10 9 7 7 7 8 8 8 8 8 7 7 6 7 8 9 10 10 10 9 8 9 10 10 11 11 12 11 10 9 8 8 8 8 8 8 7 5 5 5 5 5 6 7 8 7 7 7 nan
nan 13 14 13 12 11 10 9 8 7 7 8 9 10 10 10 11 11 11 10 9 7 5 4 4 5 6 6 7 7 7 7 7 7 7 7 8 8 6 4 4 5 7 8 9 9 10 10 10 9 9 9 10 10 11 12 11 10 8 6 4 3 4 7 8 7 6 6 6 6 6 6 6 7 8 9 8 7 7 6 6 6 6 8 10 12 11 10 9 9 9 9 9 8 8 8 7 6 6 6 8 9 10 10 10 10 9 10 10 10 10 10 12 12 11 10 9 8 9 9 9 9 7 6 6 5 5 5 6 8 8 8 7 8 nan
nan 12 13 14 13 12 11 10 9 7 6 7 9 10 11 11 11 11 10 9 7 6 5 4 4 4 5 6 6 6 6 6 6 7 7 7 7 6 4 3 4 6 7 7 8 8 9 9 9 9 9 9 9 10 11 11 10 8 7 5 4 4 5 7 7 7 6 7 7 6 6 6 7 8 9 9 8 7 6 6 6 6 7 8 10 12 12 11 10 10 10 9 8 7 7 7 6 6 6 7 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 9 8 8 9 10 10 10 9 8 7 7 6 6 7 7 8 8 8 8 nan
nan 13 13 14 14 13 12 11 9 7 6 7 8 10 11 12 11 11 9 7 6 5 5 4 4 4 5 6 6 6 6 5 6 7 8 7 6 4 3 3 4 6 7 7 7 7 8 8 8 8 8 9 10 10 10 9 8 7 7 6 5 5 7 8 7 7 8 7 7 6 6 7 7 8 9 9 8 7 6 6 7 7 8 8 9 10 11 11 11 11 11 10 8 7 7 7 7 8 9 9 9 8 8 7 7 7 7 7 7 8 8 8 7 7 7 8 8 8 9 9 10 10 9 8 8 7 7 7 7 7 7 7 7 7 nan
nan 15 15 15 15 15 13 12 10 9 7 7 8 10 12 12 12 10 8 6 6 5 5 5 5 5 5 6 6 6 6 5 6 7 7 6 5 4 4 5 6 6 7 7 7 7 7 8 8 8 8 9 9 10 9 8 8 8 8 7 7 6 7 8 8 8 8 8 7 6 6 6 7 8 8 9 9 8 7 7 7 7 7 7 7 8 9 10 11 11 11 10 9 8 9 9 10 12 12 11 10 9 8 7 7 6 6 6 6 7 7 7 6 5 6 7 7 7 8 9 9 9 7 6 6 6 7 7 7 7 7 7 7 7 nan
nan 14 16 17 17 16 15 14 12 11 9 8 9 10 12 12 11 9 7 6 6 6 6 7 6 6 6 6 7 7 6 6 6 6 6 6 6 6 7 8 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 8 7 6 6 6 7 7 8 9 10 9 8 8 8 7 7 6 6 7 8 9 10 11 11 11 11 11 12 12 13 13 13 13 11 10 9 8 7 7 7 6 6 6 6 6 5 5 6 6 7 7 7 8 9 8 7 6 5 6 6 7 7 7 8 8 7 7 nan
nan 11 15 17 17 17 16 15 15 14 12 11 10 11 11 11 10 8 7 7 7 7 7 8 8 7 7 7 8 7 7 7 7 7 7 6 7 9 10 10 9 8 8 7 6 6 7 7 7 7 7 8 9 9 8 7 7 7 8 8 8 8 9 9 8 8 8 8 8 7 7 7 7 8 8 9 11 11 10 10 9 8 7 6 6 7 8 10 10 11 11 11 12 13 14 14 13 12 12 13 12 11 11 9 8 7 7 7 6 5 5 5 5 6 7 7 7 7 7 8 9 8 7 7 6 6 6 6 7 8 9 9 9 9 nan
nan 8 12 15 17 18 18 18 17 16 15 14 12 11 11 11 10 9 7 6 6 6 7 8 9 8 8 8 8 8 8 8 8 9 9 9 10 11 11 10 9 8 8 7 6 7 7 7 6 6 7 7 8 8 7 6 6 6 6 7 8 9 10 9 8 8 8 8 8 8 8 9 9 9 9 10 11 12 12 12 10 9 7 6 6 7 9 10 10 10 10 10 12 14 14 14 12 12 11 12 11 11 10 9 7 7 7 7 6 5 5 5 6 7 8 8 7 8 8 9 9 9 8 8 8 7 6 6 7 8 9 10 10 10 nan
nan 8 10 13 16 18 20 20 20 18 17 16 14 12 12 11 10 9 7 6 5 6 7 8 8 7 8 7 7 7 8 9 10 11 12 13 13 12 11 10 9 8 7 7 7 8 7 7 7 6 7 7 7 6 5 6 6 6 6 7 8 10 10 10 9 9 9 9 8 8 9 10 11 11 11 11 12 13 13 12 10 8 7 7 7 7 8 9 10 10 10 10 12 13 13 13 12 12 11 10 10 10 9 7 6 7 8 7 6 6 6 6 7 8 9 9 8 8 9 9 9 9 9 9 9 8 7 6 7 8 9 10 11 11 nan
nan 9 9 11 14 17 20 21 20 19 18 17 15 14 13 12 11 9 6 5 5 6 7 7 7 7 7 7 7 7 8 9 12 14 15 15 14 12 10 9 8 7 7 6 7 8 8 8 8 8 8 9 8 6 6 6 7 7 7 8 9 9 9 10 10 10 10 10 9 9 9 10 11 11 11 12 13 13 12 11 9 8 7 7 6 7 7 9 10 11 10 10 10 11 11 12 12 11 10 10 9 9 8 7 7 8 8 8 7 7 7 7 8 8 9 9 8 8 9 9 10 10 10 9 8 8 7 7 7 7 8 10 11 11 nan
nan 10 10 10 12 14 16 18 19 19 18 18 18 17 15 13 11 9 6 5 6 7 7 7 7 7 8 8 8 8 9 11 15 16 15 14 12 11 10 9 9 8 7 7 7 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 8 9 9 10 11 11 11 10 9 9 10 10 11 11 11 11 10 10 10 9 9 8 7 6 6 7 8 10 11 11 10 10 9 9 10 10 10 10 9 9 8 7 7 8 9 10 9 8 7 7 7 7 8 8 8 7 8 8 9 10 10 10 9 8 7 7 8 8 8 8 8 9 10 nan
nan 10 10 9 9 10 12 14 15 16 18 19 20 20 18 15 12 9 7 6 7 7 7 7 7 8 9 10 10 10 11 12 15 14 13 11 10 9 8 9 10 9 8 7 8 8 10 10 9 9 9 9 9 9 8 8 7 7 8 8 8 8 8 9 10 11 11 11 10 9 9 10 11 11 12 11 10 9 9 10 9 9 8 7 6 6 7 8 10 11 11 11 10 9 8 9 9 10 9 9 8 8 7 8 9 10 9 9 8 8 7 7 7 7 7 7 7 7 8 9 10 10 10 9 7 6 7 7 8 8 8 8 9 9 nan
nan 9 9 8 8 9 10 11 12 13 15 18 20 22 21 18 14 10 8 7 7 7 7 7 9 10 10 10 10 10 10 10 10 9 9 8 8 7 7 8 9 9 9 8 7 8 9 9 8 7 7 7 8 7 7 7 7 7 7 8 8 9 10 11 12 12 11 11 10 10 10 11 12 13 13 11 10 9 9 9 9 8 7 7 7 7 8 8 9 11 11 11 10 10 9 9 9 9 9 9 8 8 8 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 8 9 9 10 10 10 9 7 7 7 8 8 8 8 8 9 nan
nan 8 8 7 7 8 9 11 11 12 14 17 20 23 23 20 16 11 8 7 6 6 7 9 11 12 10 8 7 6 5 4 4 4 4 5 5 6 5 6 6 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 8 8 10 11 13 14 14 14 13 12 13 13 14 15 15 14 11 10 9 9 8 8 7 8 8 8 8 8 8 9 10 11 11 10 10 10 10 9 9 9 9 9 8 8 9 8 8 8 8 9 8 7 7 7 7 7 7 7 8 8 8 8 9 10 11 11 10 9 9 8 8 7 7 7 8 nan
nan 9 9 8 8 9 10 11 12 13 15 17 21 24 25 23 18 13 9 7 7 7 9 11 12 10 7 5 3 1 1 0 1 2 2 3 3 4 4 4 4 5 6 5 5 6 6 5 5 6 6 7 7 7 7 8 8 8 8 8 9 10 12 13 14 15 15 14 14 15 15 16 16 15 13 11 10 9 9 9 8 8 9 9 9 8 7 7 8 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 9 9 9 9 9 9 8 8 7 7 7 7 7 7 8 9 11 11 11 11 11 11 9 7 7 7 7 nan
nan 10 10 10 10 10 11 13 14 15 17 19 22 24 25 24 20 15 11 9 9 9 11 12 11 8 5 3 2 2 3 4 4 4 4 3 3 3 3 3 4 4 5 5 5 5 5 6 6 7 8 8 9 9 9 9 9 9 9 8 8 9 10 11 12 12 12 12 13 13 13 13 13 12 11 10 10 10 10 10 9 9 9 9 8 8 7 6 6 8 9 10 10 10 10 10 10 10 11 11 11 11 10 9 8 8 9 8 8 9 11 12 12 10 8 7 7 7 7 7 7 7 8 9 10 10 11 12 12 11 10 9 9 9 nan
nan 11 11 11 11 12 13 14 16 17 18 20 21 23 25 24 22 19 14 12 12 13 14 13 10 7 4 3 5 6 8 9 9 8 6 5 4 3 3 4 5 5 5 5 6 6 6 7 8 9 10 10 10 10 10 9 9 9 8 7 6 6 7 9 10 10 10 10 11 11 11 11 11 10 10 10 10 10 11 10 10 10 9 8 8 7 7 7 7 8 9 10 10 11 11 10 10 10 10 10 10 10 9 9 9 9 9 8 7 8 11 13 13 12 9 8 7 7 7 7 7 7 8 8 8 9 9 11 11 11 11 11 12 12 nan
nan 11 11 12 12 12 13 15 16 17 17 18 20 21 22 23 22 20 16 14 15 16 16 15 12 7 4 5 7 8 9 9 10 9 8 6 5 4 5 6 6 6 6 6 6 7 8 9 10 10 11 11 11 10 10 10 9 9 7 5 4 4 6 7 9 10 10 10 10 10 11 11 10 10 11 11 11 11 11 11 10 10 9 8 8 8 8 9 9 10 10 10 11 11 11 10 10 9 8 8 7 8 9 9 9 9 9 9 9 9 10 11 11 10 9 8 7 7 7 7 7 7 8 8 8 8 9 10 10 11 11 12 13 14 nan
nan 11 12 12 12 11 11 13 15 16 16 16 17 17 18 19 19 18 16 15 16 17 17 17 15 11 8 8 8 7 7 8 10 10 9 7 5 6 7 8 7 6 6 6 7 8 10 11 11 11 11 10 10 10 10 9 9 9 8 6 5 5 6 7 8 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 9 9 8 8 8 9 10 11 11 11 11 11 10 10 10 9 8 7 6 6 7 8 9 9 10 10 11 11 10 9 8 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 10 11 12 13 14 nan
nan 12 12 12 11 10 10 12 13 14 14 13 13 13 13 14 14 15 15 15 16 17 17 17 17 16 16 14 11 9 8 9 11 10 8 6 5 6 7 8 7 6 6 6 8 9 11 10 10 10 10 9 9 9 9 9 9 9 9 9 7 6 6 6 7 9 10 10 10 10 10 10 10 10 11 11 10 10 10 9 9 9 9 8 8 8 9 10 11 12 11 10 9 9 9 9 8 8 7 6 6 7 8 9 10 11 12 12 11 10 9 7 6 6 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 10 11 12 12 nan
nan 12 12 12 11 10 10 11 11 12 12 11 11 11 10 10 11 12 14 14 15 15 15 15 15 18 20 18 14 12 12 11 10 9 6 4 4 5 7 7 6 5 6 7 9 9 9 8 8 8 8 9 9 9 9 9 9 10 10 10 10 8 7 7 7 8 9 9 9 10 10 10 10 10 10 10 10 9 9 8 8 8 9 9 9 9 10 10 11 11 10 10 9 8 8 8 8 9 9 9 8 8 9 9 10 11 12 11 10 9 9 8 7 7 8 8 8 8 8 7 7 7 7 7 8 8 8 9 9 9 9 9 9 10 nan
nan 12 12 12 11 10 10 10 11 11 11 11 11 11 10 10 10 11 12 13 13 13 13 13 12 15 17 17 15 15 15 15 13 8 5 3 4 5 7 7 7 7 7 8 8 8 6 6 7 7 8 8 8 8 8 8 8 9 10 11 11 11 9 8 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 10 10 10 10 10 10 10 9 8 8 8 8 9 10 11 11 11 10 10 10 10 10 10 9 9 9 9 8 8 8 9 9 10 10 9 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 12 13 12 12 11 11 12 13 14 15 17 18 15 10 7 6 7 8 8 9 9 9 9 9 8 7 6 7 8 8 8 8 8 8 7 7 7 8 8 9 11 11 11 9 7 6 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 10 10 10 10 9 9 9 8 8 9 9 11 11 11 11 11 10 10 10 9 9 9 9 10 10 10 10 10 10 11 11 11 10 9 8 8 9 9 9 8 8 8 9 9 9 9 9 8 nan
nan 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 12 12 13 13 13 12 11 11 12 13 15 17 17 15 13 12 12 11 11 11 11 11 10 9 8 8 8 8 9 9 9 9 8 8 7 7 7 7 8 7 7 7 9 9 8 6 4 4 5 7 8 8 9 9 9 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 10 10 10 11 12 12 11 11 11 12 12 11 9 9 9 9 9 9 9 8 8 8 8 8 9 9 8 nan
nan 11 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 11 12 13 13 13 13 12 12 13 15 16 17 17 17 17 17 17 17 15 14 14 14 13 12 10 9 9 8 8 8 8 9 9 8 8 7 6 7 7 8 7 6 5 6 7 7 6 4 3 4 5 6 7 8 9 10 10 10 10 11 11 12 12 12 11 11 10 10 10 10 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 11 11 12 12 11 11 11 12 12 11 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 nan
nan 11 12 12 12 12 12 11 11 11 10 10 9 9 9 9 9 9 10 10 11 11 12 12 12 12 12 14 15 17 18 18 18 19 19 18 16 15 14 14 14 13 12 10 9 9 8 8 8 9 9 9 8 7 7 7 7 8 8 7 7 7 7 7 7 6 5 4 4 5 5 7 8 9 10 10 10 11 12 12 12 12 12 11 11 10 10 11 11 12 11 11 11 11 10 10 9 9 8 8 8 9 9 10 10 10 10 10 10 10 11 12 12 11 10 11 11 11 10 10 10 10 11 11 12 12 11 11 10 10 9 8 8 8 nan
nan 11 11 12 12 12 12 11 11 10 10 10 9 9 9 9 8 8 9 9 10 10 10 10 11 10 10 11 13 14 15 16 16 16 15 15 13 12 12 11 11 12 11 11 10 10 9 9 9 9 10 10 10 10 10 9 8 8 8 8 8 8 8 8 8 8 7 6 6 5 5 6 7 8 9 10 10 11 11 11 12 12 11 11 11 11 11 11 12 12 11 10 10 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 10 10 11 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 11 10 10 10 9 9 8 nan
nan 11 11 11 11 11 11 11 10 10 10 9 10 10 9 9 9 9 10 10 10 10 9 9 9 8 8 9 10 10 11 11 11 11 10 10 10 10 10 10 10 11 11 12 12 12 12 11 11 11 11 11 11 12 13 12 11 9 8 8 8 9 9 9 9 8 8 8 7 7 6 6 6 7 9 10 10 10 10 11 11 11 11 11 11 11 11 12 13 13 12 11 10 9 8 8 9 9 9 9 9 8 8 8 9 8 8 8 9 9 10 12 12 12 12 12 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 7 nan
nan 11 11 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 11 11 11 10 10 9 9 8 7 8 8 9 9 9 9 9 9 9 9 10 10 10 10 11 12 13 13 13 13 13 13 12 12 12 11 11 12 13 12 11 9 8 8 8 9 9 9 9 9 9 9 8 8 7 6 7 8 9 10 10 10 10 10 10 11 11 11 11 11 12 13 13 13 12 11 10 9 8 9 9 9 9 9 9 8 8 8 7 7 7 7 8 9 10 10 10 10 9 8 8 8 8 8 8 8 8 7 7 7 8 9 9 9 9 8 7 nan
nan 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 11 11 11 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 12 12 12 12 11 11 10 9 8 9 10 11 11 9 8 8 9 9 9 9 9 9 9 9 9 9 8 7 6 7 9 10 11 10 10 9 9 10 10 10 10 10 11 11 12 12 12 12 11 10 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 8 8 8 8 7 6 6 6 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 8 nan
nan 10 11 11 10 10 10 10 10 9 9 9 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 11 11 11 10 8 8 8 10 12 11 10 10 9 9 10 10 9 8 7 6 7 8 9 9 9 9 9 8 8 8 9 9 9 9 9 9 8 7 7 7 8 10 11 11 10 9 9 9 9 9 8 8 8 9 10 10 11 11 12 11 10 10 10 10 9 9 9 9 9 9 9 10 10 9 8 7 7 8 8 7 7 7 7 7 7 7 8 9 10 10 10 9 9 9 10 10 9 9 9 nan
nan 9 10 11 11 11 10 10 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 12 12 12 11 9 7 7 9 11 11 10 9 7 7 7 8 9 8 7 7 7 7 8 9 9 9 9 9 8 9 9 9 9 9 9 9 9 8 7 7 8 10 10 10 9 8 7 8 9 9 8 7 6 7 8 9 10 11 11 11 10 10 11 11 11 10 9 8 8 9 10 11 11 11 10 9 9 9 10 10 11 11 10 9 9 9 11 12 12 12 11 10 9 10 10 10 10 10 10 nan
nan 9 9 10 11 11 11 10 10 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 8 8 9 9 9 10 10 10 10 10 10 11 12 13 12 9 8 9 10 11 11 9 7 5 6 8 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 8 10 11 11 9 8 7 8 9 10 10 9 7 7 7 9 10 11 11 11 10 10 10 11 11 11 10 8 8 9 10 11 11 11 11 11 11 10 11 12 13 13 12 10 9 10 12 13 13 13 12 11 10 10 10 10 11 10 10 nan
nan 8 9 9 10 11 11 11 10 10 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 12 13 11 10 8 8 9 10 10 8 7 7 9 10 11 10 10 10 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 8 10 12 12 11 10 9 9 10 11 12 12 11 9 8 9 10 11 11 10 10 9 9 9 10 10 10 9 8 8 9 10 9 9 9 10 10 9 9 11 12 12 11 9 8 8 9 10 11 12 11 11 10 10 9 9 10 10 10 nan
nan 9 9 9 10 10 10 11 11 10 10 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 9 7 6 7 9 10 9 9 9 10 12 12 12 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 12 12 12 11 11 10 10 11 11 11 11 10 9 9 10 10 9 9 8 8 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 8 9 10 9 8 7 7 7 7 7 9 10 10 10 9 9 8 8 8 8 8 nan
nan 9 9 9 9 9 10 10 10 10 10 9 9 9 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 9 7 6 6 8 9 9 8 8 9 10 11 12 13 13 12 11 10 11 10 10 10 9 9 9 9 8 8 8 9 9 9 9 10 10 11 11 11 11 11 11 11 10 10 9 10 10 10 9 9 8 8 8 8 8 8 8 8 8 7 7 6 6 5 5 6 6 7 7 7 7 7 7 8 8 7 6 6 6 6 6 6 7 9 9 9 9 8 7 7 7 7 7 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 10 10 10 10 10 10 11 11 10 8 7 7 9 9 8 7 7 7 8 9 11 12 14 14 12 12 12 11 11 11 10 10 9 9 8 8 8 8 8 9 9 10 11 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 6 6 6 5 4 5 6 7 7 8 7 7 7 8 8 8 7 6 6 6 6 6 7 8 8 9 9 8 7 6 6 6 6 nan
nan 9 9 9 8 8 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 10 10 10 10 10 10 10 10 11 12 12 10 9 8 9 9 9 8 8 8 8 8 9 10 12 12 12 11 11 11 12 12 11 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 6 5 5 6 7 8 8 8 8 7 7 8 8 8 7 7 7 7 6 7 7 7 7 8 7 7 7 7 7 7 nan
nan 10 10 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 10 12 13 14 13 11 10 9 10 10 10 10 9 9 8 8 8 9 9 9 9 9 10 10 11 11 10 10 10 10 9 9 9 9 10 10 10 10 9 9 9 8 8 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 6 7 7 8 9 9 9 8 7 6 7 8 8 8 7 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 7 8 9 nan
nan 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 8 8 8 9 9 9 9 9 9 9 10 11 13 14 14 14 12 12 11 11 11 11 11 11 10 9 9 8 7 8 8 7 7 8 9 10 10 11 11 10 10 9 9 9 10 10 10 9 9 8 8 7 6 6 6 6 7 7 7 7 7 8 7 7 7 7 7 8 8 7 7 7 8 9 9 9 8 7 7 7 8 8 7 6 7 8 8 8 8 8 8 7 7 6 6 6 5 5 5 6 6 6 6 7 9 9 nan
nan 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 8 8 8 9 9 9 9 9 9 10 11 12 14 14 14 14 13 12 12 12 12 12 11 10 9 8 8 8 8 8 7 7 8 9 10 10 11 11 10 10 9 9 9 9 9 8 7 7 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 7 7 7 8 8 7 7 7 8 8 8 8 8 8 7 6 7 7 7 7 6 7 7 8 6 6 6 7 8 nan
nan 11 11 11 11 11 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 9 9 9 9 10 11 12 12 12 12 12 11 11 11 11 10 10 9 9 8 9 9 9 9 9 9 9 9 10 10 11 10 10 10 9 9 8 7 7 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 9 9 8 8 8 9 8 7 6 6 7 7 nan
nan 10 11 11 11 11 11 11 12 12 11 11 11 11 10 10 10 9 9 9 9 9 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 9 8 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 10 10 10 10 10 10 9 9 8 8 7 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 9 9 8 7 7 7 8 8 8 9 8 8 7 7 7 7 8 8 7 7 8 9 9 10 10 10 10 8 7 6 7 7 7 nan
nan 10 10 11 11 11 11 11 11 11 11 11 11 11 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 7 8 8 8 9 10 10 11 11 11 10 9 9 10 10 10 10 9 9 9 8 7 6 6 6 6 6 7 7 8 8 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 9 9 9 7 7 7 7 8 8 8 8 8 7 6 6 7 8 8 9 9 8 8 9 9 10 10 10 10 8 7 7 7 7 8 nan
nan 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 11 11 11 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 9 9 10 11 11 11 11 10 10 9 9 9 8 8 8 8 8 7 6 6 6 6 7 7 7 8 8 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 8 7 6 7 7 8 8 8 7 6 6 5 6 7 8 9 9 9 9 8 8 9 9 9 9 9 8 8 7 7 8 8 nan
nan 8 8 8 8 8 8 9 9 9 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 10 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 9 9 9 9 9 9 10 10 10 10 9 8 7 7 7 7 8 8 9 8 8 7 7 8 8 8 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 8 8 7 7 7 8 9 8 7 6 6 6 6 7 8 9 9 8 8 8 9 9 9 9 9 8 8 8 8 8 9 9 nan
nan 8 8 8 7 7 7 7 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 9 9 10 10 9 8 8 7 7 7 7 7 8 9 9 10 10 9 8 8 8 8 9 9 9 8 8 7 7 7 8 9 9 9 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 10 9 9 8 8 8 9 10 10 9 8 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 8 7 8 8 9 9 9 nan
nan 8 8 8 7 7 7 7 7 7 7 7 8 8 9 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 9 9 8 8 8 8 8 9 10 10 10 10 9 8 8 7 8 8 8 8 8 8 7 7 8 8 8 8 9 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 10 11 11 10 9 8 8 8 8 9 9 10 10 9 9 9 9 10 9 8 8 7 8 9 10 10 9 nan
nan 8 8 8 7 7 7 7 7 7 7 7 7 7 8 9 9 9 9 9 8 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 10 11 11 11 10 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 8 7 8 8 9 10 10 9 9 8 8 9 9 9 8 8 8 9 10 10 10 10 nan
nan 7 7 7 7 7 8 7 7 7 7 7 7 7 7 7 8 9 9 9 8 8 8 9 9 9 8 8 8 7 7 7 6 6 6 6 6 5 6 7 8 8 8 8 9 9 10 10 10 10 9 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 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 9 9 10 10 11 11 11 11 nan
nan 6 6 6 7 7 7 7 7 7 7 7 7 7 6 7 7 8 9 9 9 8 8 7 7 7 7 7 6 6 6 6 5 5 5 6 6 6 6 7 8 8 8 8 9 9 9 9 9 8 7 6 6 6 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 8 7 7 7 7 7 7 7 7 8 8 9 9 8 8 8 8 9 9 10 9 9 10 10 11 11 11 10 10 10 10 11 11 11 11 11 12 11 nan
nan 7 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 9 9 8 7 6 6 5 5 5 6 8 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 6 6 6 6 5 5 5 6 7 8 8 9 10 10 10 10 9 9 10 11 11 12 11 11 12 12 13 13 13 12 12 11 11 11 11 11 11 11 11 11 nan
nan 8 8 6 6 6 6 6 6 6 7 7 7 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 7 7 8 7 8 7 7 6 6 6 6 6 6 7 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 7 8 9 10 11 11 12 12 12 11 11 11 11 12 13 13 13 13 13 14 14 14 14 13 12 12 11 10 10 10 10 10 9 9 nan
nan 11 10 9 8 7 7 7 6 6 6 6 7 7 7 7 7 7 6 6 5 6 6 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 8 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 6 7 7 7 7 8 8 9 9 10 10 11 11 12 13 14 15 15 14 13 12 11 11 11 12 13 13 12 12 13 13 12 12 12 12 12 11 11 10 10 9 9 9 9 9 9 nan
nan 13 12 12 11 9 9 8 7 6 5 5 6 6 7 7 7 6 5 5 4 4 5 6 6 6 6 6 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 6 6 7 7 7 7 8 8 9 10 11 12 13 13 14 14 15 15 16 16 16 15 16 15 14 12 11 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 nan
nan 13 13 13 13 12 11 10 9 8 7 6 6 6 7 6 5 5 4 4 4 5 5 6 6 6 6 6 7 8 8 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 8 8 7 7 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 9 9 9 9 8 8 8 8 7 7 7 6 6 6 6 6 6 7 8 9 10 10 11 12 13 14 14 15 16 15 15 15 15 15 15 15 14 14 13 13 12 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 9 9 10 10 10 11 nan
nan 12 13 13 14 14 13 13 12 11 10 9 9 8 7 6 5 5 5 5 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 9 9 9 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 9 9 9 8 8 8 7 7 6 6 6 6 6 7 7 7 8 9 10 12 13 14 15 15 15 15 14 14 14 14 13 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 nan
nan 11 12 12 13 14 14 14 14 14 13 12 11 9 8 7 7 7 7 7 7 7 7 6 7 7 8 8 8 7 7 6 6 6 7 8 8 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 7 7 7 8 8 9 10 10 12 13 14 15 16 16 15 14 13 12 11 11 10 9 9 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 8 nan
nan 10 10 11 11 12 13 14 14 14 14 13 12 11 9 9 9 9 8 8 8 7 7 8 8 9 9 9 8 8 7 7 7 7 7 8 8 8 8 9 9 9 9 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 9 9 8 8 8 7 7 7 7 7 6 6 6 7 7 7 8 9 9 10 10 11 12 12 13 14 15 15 15 14 13 12 10 10 9 8 8 8 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 8 8 nan
nan 9 9 10 10 10 11 11 12 13 14 14 14 13 12 11 10 10 9 9 8 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 8 7 8 9 9 10 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 9 9 8 8 7 7 7 7 7 7 8 8 9 11 11 12 12 13 13 14 14 15 16 16 16 14 12 10 9 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 8 8 8 8 9 9 9 9 9 9 nan
nan 9 9 9 9 9 9 10 10 11 12 14 15 15 14 13 13 12 11 11 11 11 10 10 10 10 10 9 9 10 9 9 9 9 10 9 9 8 8 8 8 9 10 10 11 12 12 12 13 13 12 12 11 11 11 12 12 11 11 11 11 11 11 10 9 9 9 10 10 11 12 12 13 13 14 14 14 14 14 15 16 16 16 16 14 12 9 8 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 9 9 9 8 8 8 8 8 9 9 9 9 9 10 nan
nan 8 8 9 9 9 9 9 9 10 11 13 14 15 16 16 15 15 15 14 13 12 12 11 11 11 11 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 10 10 11 11 11 10 10 10 10 11 11 12 11 11 11 12 12 12 12 12 11 11 12 13 13 14 14 14 14 14 14 13 13 14 14 15 16 15 14 13 11 9 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 10 9 9 8 8 8 8 8 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 nan
nan 8 8 8 8 8 8 8 9 9 10 11 13 14 15 16 16 16 15 15 13 12 12 12 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 8 7 7 7 8 8 8 8 8 8 8 9 9 10 11 11 11 11 11 11 12 12 12 12 13 13 14 14 13 13 12 12 13 13 13 12 13 13 14 15 15 14 12 10 8 7 7 6 7 7 7 8 8 8 8 9 9 8 8 8 7 8 9 9 9 9 9 9 8 8 8 8 8 9 10 10 10 10 10 9 9 9 9 9 9 10 10 9 9 9 9 10 11 12 nan
nan 7 7 7 8 8 8 8 8 8 9 10 11 12 13 14 15 14 14 13 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 8 8 8 8 8 7 7 7 7 8 8 9 9 10 10 10 11 11 11 11 11 12 12 12 13 13 13 13 12 11 11 11 11 11 11 11 12 13 14 15 14 12 10 8 7 6 6 6 6 7 7 8 8 8 8 8 8 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 10 10 10 9 9 9 10 11 12 13 nan
nan 7 7 7 7 7 7 7 7 7 8 9 9 10 11 13 13 12 11 10 9 9 9 9 9 10 10 10 10 9 9 9 10 10 10 10 10 10 10 9 9 9 10 10 9 8 8 8 9 9 9 9 10 10 10 10 10 10 11 11 11 11 12 12 12 12 12 11 11 11 10 10 10 10 10 10 11 12 14 14 13 11 9 7 6 6 6 6 6 7 8 8 7 7 7 7 7 8 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 9 10 10 10 9 9 9 9 10 10 10 10 10 10 11 12 14 14 nan
nan 7 7 7 7 7 7 7 7 7 7 8 8 9 10 11 12 11 10 8 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 11 11 10 10 10 10 10 10 11 12 13 13 13 11 8 6 5 5 6 6 7 7 7 7 7 6 6 6 6 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 9 10 11 10 10 10 9 9 9 10 10 10 10 11 12 13 14 14 nan
nan 8 8 8 7 7 7 7 7 7 7 7 8 8 9 10 10 10 10 9 7 7 7 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 11 9 7 6 5 5 6 6 7 7 7 6 6 6 6 6 6 6 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 13 13 12 nan
nan 9 8 8 8 8 8 8 8 7 7 7 7 8 8 9 9 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 10 10 10 11 11 11 11 11 10 8 8 7 7 6 6 7 8 8 8 8 7 7 7 7 8 7 7 7 7 7 7 7 8 8 9 9 9 9 9 8 8 9 9 9 9 10 10 10 10 11 11 11 10 10 10 10 11 11 11 11 11 10 8 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
1480 1456 1465 1492 1533 1599 1700 1840 1995 2153 2304 2473 2651 2821 2977 3092 3145 3145 3124 3102 3086 3070 3050 3021 2997 2968 2998 2989 2948 2874 2774 2708 2719 2708 2591 2549 2531 2513 2522 2599 2767 2955 3060 3106 3141 3152 3123 3060 2967 2920 2882 2865 2847 2834 2853 2897 2900 2835 2828 2761 2694 2662 2651 2641 2635 2627 2590 2543 2514 2525 2594 2719 2851 2889 2772 2616 2531 2535 2600 2664 2664 2585 2562 2378 2189 2145 2287 2505 2630 2596 2553 2692 2862 2945 2946 2895 2817 2715 2585 2465 2347 2277 2250 2228 2211 2222 2240 2303 2171 1881 1713 1695 1743 1789 1853 1941 2100 2221 2208 2187 1910 1225 763 476 283 182 130 109 113 136 159 160 149 145 148
1549 1512 1500 1513 1556 1632 1738 1874 2004 2159 2303 2472 2685 2903 3057 3117 3160 3185 3177 3158 3144 3132 3111 3077 3040 3003 2997 2962 2890 2807 2754 2750 2740 2732 2616 2557 2534 2523 2536 2600 2747 2977 3142 3191 3196 3184 3140 3056 2968 2906 2865 2846 2839 2841 2851 2864 2869 2839 2839 2781 2723 2688 2669 2650 2630 2612 2593 2559 2533 2550 2625 2731 2803 2783 2671 2562 2503 2490 2530 2594 2611 2555 2494 2359 2209 2152 2240 2412 2547 2594 2639 2772 2877 2912 2887 2817 2701 2552 2421 2325 2254 2217 2205 2199 2180 2136 2099 2044 1917 1827 1744 1708 1731 1764 1818 1909 2052 2119 2019 1786 1378 823 427 239 127 72 46 39 45 57 77 84 66 65 64
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1733 1697 1671 1670 1709 1779 1862 1969 2138 2335 2525 2720 2925 3122 3282 3374 3366 3272 3285 3280 3256 3228 3191 3143 3089 3043 3000 2938 2858 2816 2789 2661 2633 2632 2609 2582 2550 2523 2523 2585 2739 2986 3163 3218 3201 3164 3120 3056 2986 2922 2875 2848 2832 2829 2844 2874 2906 2914 2913 2873 2816 2760 2717 2700 2718 2697 2662 2650 2684 2750 2819 2869 2892 2868 2753 2671 2618 2599 2620 2665 2675 2638 2557 2447 2340 2286 2293 2314 2299 2342 2452 2563 2629 2655 2636 2566 2456 2341 2263 2233 2239 2253 2252 2247 2267 2217 2138 2050 1955 1866 1778 1689 1634 1704 1847 1923 1887 1730 1404 922 438 193 109 61 30 14 7 4 3 3 16 7 3 3 3
1829 1802 1767 1780 1825 1884 1956 2046 2188 2362 2566 2782 2991 3182 3348 3464 3459 3342 3332 3322 3294 3259 3220 3176 3120 3059 3010 2960 2880 2770 2678 2656 2617 2621 2619 2604 2579 2548 2539 2595 2728 2962 3085 3114 3095 3063 3033 2998 2962 2935 2916 2889 2856 2847 2884 2950 2998 3001 2989 2957 2906 2829 2751 2725 2741 2724 2711 2725 2784 2865 2925 2942 2933 2909 2816 2713 2629 2579 2567 2580 2593 2587 2547 2484 2425 2384 2360 2334 2274 2257 2368 2507 2576 2561 2492 2406 2328 2273 2250 2249 2268 2300 2318 2311 2323 2240 2158 2071 1978 1882 1777 1689 1716 1831 1890 1800 1553 1205 816 437 159 59 33 17 7 2 0 0 0 0 7 3 0 0 0
1905 1889 1874 1898 1938 1982 2036 2105 2212 2362 2546 2753 2966 3169 3355 3497 3441 3399 3380 3355 3322 3285 3249 3207 3145 3063 3009 2956 2849 2731 2672 2658 2645 2640 2638 2620 2592 2565 2560 2613 2726 2927 2995 2991 2959 2921 2891 2878 2884 2920 2937 2906 2865 2866 2929 3021 3083 3093 3073 3040 3001 2921 2822 2795 2785 2789 2815 2870 2948 3005 3014 2988 2947 2899 2821 2717 2614 2533 2480 2452 2453 2461 2446 2409 2371 2359 2368 2353 2277 2239 2388 2527 2580 2543 2456 2373 2314 2271 2275 2302 2340 2372 2379 2363 2344 2285 2204 2113 2018 1908 1793 1748 1874 1896 1721 1339 879 507 291 144 47 10 1 0 0 0 0 0 0 0 0 0 0 0 0
1973 1967 1977 2005 2037 2065 2097 2142 2216 2342 2502 2688 2892 3103 3296 3426 3447 3442 3421 3388 3350 3311 3270 3218 3140 3047 2996 2947 2861 2759 2691 2680 2684 2686 2685 2671 2644 2617 2611 2648 2722 2855 2885 2845 2796 2757 2727 2728 2769 2835 2853 2842 2860 2930 3030 3124 3189 3186 3152 3115 3088 3039 2957 2898 2850 2862 2914 3001 3082 3108 3071 3017 2952 2859 2760 2658 2555 2460 2386 2332 2309 2316 2311 2304 2325 2372 2410 2391 2311 2281 2406 2515 2547 2504 2438 2424 2453 2254 2240 2291 2346 2381 2386 2365 2335 2306 2253 2171 2078 1977 1885 1892 1926 1729 1286 737 323 148 93 47 15 3 0 0 0 0 0 0 0 0 0 0 0 0 0
2048 2053 2078 2110 2135 2152 2166 2188 2231 2323 2444 2601 2791 3005 3212 3368 3450 3467 3452 3418 3374 3328 3279 3220 3147 3050 3000 2937 2857 2804 2798 2803 2773 2743 2710 2683 2656 2634 2630 2652 2705 2780 2784 2719 2658 2620 2588 2582 2622 2674 2712 2786 2904 3033 3137 3205 3244 3194 3141 3075 3030 2987 2892 2748 2666 2676 2711 2792 2882 2933 2934 2923 2883 2777 2654 2560 2475 2384 2303 2247 2215 2220 2238 2277 2342 2418 2461 2438 2369 2335 2395 2443 2417 2321 2207 2150 2117 1998 1990 2055 2149 2235 2291 2340 2355 2313 2201 2101 2072 2087 2067 2020 1780 1299 744 314 101 47 33 16 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0
2156 2166 2195 2228 2247 2249 2242 2237 2241 2302 2390 2523 2695 2903 3126 3322 3450 3488 3477 3445 3398 3347 3292 3224 3142 3037 2992 2939 2880 2841 2825 2806 2784 2775 2756 2719 2678 2651 2646 2661 2681 2722 2697 2621 2562 2525 2485 2467 2483 2534 2644 2820 3003 3137 3203 3214 3187 2992 2851 2697 2563 2453 2312 2126 2036 2065 2109 2183 2290 2413 2534 2642 2686 2618 2502 2428 2386 2328 2253 2205 2184 2192 2228 2296 2391 2485 2527 2489 2430 2375 2348 2288 2158 1971 1779 1634 1598 1588 1597 1639 1710 1818 2032 2332 2212 1911 1653 1596 1746 1951 2028 1826 1283 700 296 104 37 18 10 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2320 2314 2336 2361 2369 2356 2333 2310 2298 2339 2398 2488 2630 2830 3063 3281 3437 3496 3494 3466 3416 3355 3291 3217 3125 3048 3002 2962 2918 2875 2846 2841 2833 2829 2796 2746 2707 2708 2735 2721 2663 2663 2607 2536 2485 2446 2402 2384 2427 2555 2752 2949 3075 3116 3088 2948 2763 2442 2219 2023 1830 1638 1453 1317 1282 1331 1412 1511 1644 1829 2048 2255 2395 2398 2339 2279 2244 2221 2176 2146 2142 2159 2209 2305 2444 2576 2619 2550 2435 2312 2182 2011 1790 1547 1322 1178 1218 1431 1649 1748 1702 1625 1791 2136 1714 1210 885 860 1089 1358 1444 1080 572 228 78 32 18 10 5 1 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0
2528 2487 2491 2499 2489 2461 2426 2394 2382 2400 2441 2504 2623 2806 3032 3252 3425 3500 3501 3480 3436 3374 3299 3216 3135 3067 3013 2968 2960 2953 2931 2932 2888 2877 2852 2816 2794 2787 2766 2707 2611 2562 2520 2462 2407 2370 2355 2386 2495 2651 2800 2862 2808 2695 2577 2306 2027 1761 1536 1338 1141 939 764 703 739 797 897 1030 1188 1378 1610 1842 2044 2077 2026 2001 2023 2037 2022 2014 2024 2051 2113 2236 2411 2576 2654 2551 2353 2146 1933 1688 1425 1206 1055 1196 1675 2042 2064 1847 1563 1144 1120 1221 939 585 363 334 454 621 633 367 147 47 21 11 9 7 3 1 0 0 2 6 10 6 1 0 0 0 0 0 0 0 0
2761 2694 2665 2636 2601 2560 2525 2504 2500 2506 2529 2577 2675 2832 3032 3236 3417 3503 3503 3486 3448 3381 3298 3222 3157 3071 3012 2981 2980 2979 2954 2920 2885 2879 2845 2790 2739 2699 2657 2600 2529 2476 2436 2380 2330 2298 2278 2258 2262 2253 2223 2169 2059 1915 1795 1585 1351 1159 977 798 621 464 362 355 419 470 554 688 852 1021 1217 1412 1594 1664 1663 1668 1706 1735 1739 1771 1789 1816 1864 1989 2213 2451 2586 2461 2203 1936 1681 1423 1172 998 931 1077 1317 1361 1196 1029 984 701 662 590 422 251 146 117 135 192 178 100 41 14 6 2 2 1 0 0 0 2 8 18 20 12 5 1 0 0 0 0 0 0 0
3023 2933 2864 2784 2713 2658 2625 2611 2610 2619 2638 2683 2770 2903 3073 3250 3385 3466 3492 3484 3448 3386 3309 3227 3146 3049 3017 3022 3012 2978 2947 2935 2898 2838 2780 2723 2671 2625 2578 2528 2486 2429 2371 2295 2173 2011 1836 1639 1479 1372 1258 1212 1186 1129 1073 977 840 717 579 437 311 220 182 188 228 263 316 417 549 676 819 959 1083 1160 1206 1238 1261 1276 1300 1311 1362 1428 1492 1607 1833 2128 2356 2275 2034 1759 1492 1224 955 771 689 646 614 556 523 548 518 436 388 316 213 119 59 30 25 46 45 32 17 6 1 0 0 0 0 1 2 8 17 32 28 20 12 5 2 0 0 0 0 0 0
3334 3242 3123 2974 2852 2772 2732 2722 2730 2739 2755 2807 2891 2997 3128 3270 3360 3435 3474 3482 3465 3425 3357 3264 3165 3092 3074 3056 3026 2998 2982 2957 2890 2800 2726 2668 2627 2579 2515 2473 2429 2288 2069 1792 1460 1144 936 747 643 567 519 510 523 538 548 531 479 414 320 226 154 108 89 98 124 148 176 230 313 397 485 570 649 717 773 803 807 816 825 834 894 981 1067 1183 1399 1681 2019 2048 1881 1631 1355 1059 752 506 369 271 207 181 207 272 308 310 276 207 127 64 28 11 4 7 9 9 7 3 0 0 0 0 0 1 4 11 24 37 33 27 19 10 3 0 0 0 0 0 0
3619 3587 3442 3229 3044 2918 2850 2826 2828 2842 2857 2934 3022 3097 3177 3274 3359 3424 3468 3496 3503 3475 3413 3326 3211 3152 3128 3100 3065 3035 3007 2957 2852 2758 2684 2620 2571 2526 2470 2393 2193 1815 1352 894 517 295 250 197 189 175 161 161 177 200 227 245 237 208 160 111 73 46 34 42 60 74 91 121 164 209 256 300 339 375 409 436 447 443 439 447 504 561 602 686 906 1120 1567 1747 1693 1509 1252 929 554 255 137 78 46 43 75 142 212 225 189 129 67 25 7 1 0 0 1 1 1 1 0 0 0 0 0 1 5 15 35 32 27 23 15 6 1 0 0 0 0 0 0
3546 3745 3715 3527 3307 3118 2997 2941 2927 2940 2963 3052 3129 3185 3239 3305 3372 3434 3479 3511 3513 3470 3402 3334 3245 3196 3181 3167 3131 3078 3013 2934 2817 2740 2665 2594 2535 2482 2390 2171 1723 1141 626 285 120 68 57 51 50 50 47 47 51 61 80 101 111 99 77 54 32 13 8 8 16 24 36 54 74 93 113 128 143 154 181 217 218 199 191 190 192 206 237 328 575 882 1265 1469 1507 1417 1209 865 398 147 53 21 10 13 38 101 184 193 148 83 30 5 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 6 9 9 10 9 5 1 0 0 0 0 0 0 0
2755 3390 3731 3759 3610 3386 3196 3086 3046 3055 3098 3174 3235 3280 3318 3355 3398 3456 3496 3519 3491 3430 3363 3306 3250 3224 3228 3223 3182 3109 3020 2919 2787 2711 2636 2567 2505 2421 2240 1857 1224 634 269 106 50 27 16 11 11 12 12 11 10 15 26 41 53 50 40 28 17 5 1 0 2 6 10 16 23 30 34 37 43 47 54 64 68 64 61 62 68 83 114 178 322 645 1006 1252 1368 1361 1215 889 444 195 77 33 21 23 47 100 161 152 101 45 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 1 2 2 1 1 0 0 0 0 0 0 0
1473 2322 3151 3662 3826 3705 3493 3338 3277 3246 3247 3297 3349 3387 3414 3434 3452 3492 3520 3519 3466 3400 3344 3295 3258 3249 3255 3245 3192 3104 2995 2874 2742 2659 2588 2526 2462 2339 2057 1516 835 391 167 74 35 15 3 0 0 1 1 0 0 2 5 12 16 16 14 13 10 4 0 0 0 1 1 2 3 4 3 3 4 6 7 8 9 9 9 14 20 29 48 82 156 377 657 914 1112 1213 1169 956 617 342 175 94 63 63 93 127 134 102 53 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 1 1 1 0 0 0 0
511 1064 1943 2947 3653 3883 3807 3661 3574 3509 3442 3428 3457 3489 3514 3531 3538 3547 3549 3520 3465 3408 3360 3319 3288 3275 3265 3236 3172 3077 2963 2840 2708 2621 2553 2484 2385 2182 1776 1124 573 267 112 44 17 5 0 0 0 0 0 0 0 0 0 1 2 2 2 2 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 12 25 55 138 261 459 688 859 905 843 677 451 291 201 148 126 144 132 86 42 13 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 2 2 2 1 0
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65 113 283 839 1713 2622 3376 3845 3992 3885 3716 3642 3690 3770 3814 3810 3775 3699 3628 3569 3511 3458 3415 3382 3355 3307 3238 3149 3051 2947 2841 2736 2648 2586 2510 2316 1940 1402 819 373 166 74 34 14 4 0 0 0 0 0 2 7 12 13 14 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 1 2 8 25 58 102 148 182 193 165 130 80 37 30 30 12 11 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 2 2 2 2 0 1 0 0 0 0 1 2 3
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