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 9 9 10 10 10 10 11 11 12 12 13 13 13 13 12 12 12 11 11 11 10 9 9 8 9 9 10 11 11 11 11 11 10 10 9 9 8 7 6 5 4 3 4 4 5 6 6 7 7 8 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 10 10 10 10 10 9 9 9 8 8 8 9 11 12 14 14 12 11 9 8 7 7 7 8 8 8 7 7 7 7 7 8 8 8 8 7 8 8 8 8 8 8 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 nan
nan 11 11 11 11 11 11 11 10 11 11 12 13 14 14 13 12 12 12 12 12 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 9 8 7 6 5 5 6 7 8 8 8 8 9 9 9 8 9 9 9 9 10 10 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 11 13 14 13 11 9 8 7 6 6 6 6 7 7 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 9 9 9 9 10 10 9 9 9 9 9 9 9 8 nan
nan 12 12 12 12 12 12 11 11 11 11 12 12 13 12 11 11 10 10 11 11 11 11 11 11 10 10 10 9 9 9 9 10 10 11 11 12 11 11 11 10 9 9 9 9 10 10 10 10 9 9 8 8 8 8 9 9 10 10 10 10 9 9 9 10 9 9 9 8 8 7 7 7 7 7 7 7 7 7 8 9 11 13 14 13 11 8 7 6 5 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 nan
nan 11 11 12 12 12 12 11 11 11 11 11 11 11 10 10 10 9 9 9 9 10 10 10 10 9 9 8 8 8 8 9 9 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 9 9 8 8 8 8 8 9 9 10 10 10 10 9 9 9 9 9 8 8 7 7 6 6 6 6 6 6 6 7 8 9 12 13 14 14 11 8 6 5 5 6 6 6 6 6 5 5 6 6 7 7 7 7 8 8 8 8 8 8 8 9 8 8 9 9 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 nan
nan 9 9 9 10 10 10 11 11 12 12 12 11 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 9 9 9 9 10 10 10 10 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 8 8 9 10 11 13 14 14 12 9 6 5 4 5 5 6 6 5 5 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 10 10 9 9 10 11 nan
nan 8 7 7 7 8 9 10 10 11 12 12 12 11 11 11 10 10 9 9 9 8 8 8 8 8 8 9 9 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 11 11 11 12 12 13 14 13 11 8 6 5 4 5 5 5 5 5 6 6 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 9 9 9 9 10 nan
nan 8 7 7 7 8 8 9 10 10 11 11 12 12 12 12 11 11 11 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 13 13 13 12 10 7 5 5 5 5 6 6 6 6 7 7 8 9 9 10 10 10 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 11 11 10 10 9 9 8 7 7 nan
nan 8 8 8 8 8 9 9 10 10 10 10 11 11 11 11 11 12 12 12 12 11 11 11 10 9 9 9 8 8 8 8 8 9 9 9 8 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 12 12 12 12 12 12 12 12 12 12 13 13 14 14 13 11 9 6 4 4 4 5 7 8 8 8 8 8 9 9 9 10 11 11 11 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 11 11 10 9 9 9 9 7 5 4 nan
nan 8 8 8 8 8 9 9 10 10 10 10 10 10 10 11 11 12 12 12 12 12 11 11 10 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 13 14 14 14 13 12 9 6 4 3 4 5 7 8 9 9 9 8 8 7 6 6 7 9 11 12 13 13 11 10 9 9 9 9 10 9 9 9 9 9 9 9 9 10 11 11 11 11 10 9 9 8 9 8 6 4 5 nan
nan 8 8 8 8 8 9 9 10 10 10 10 10 10 10 9 10 10 11 11 11 10 10 10 9 9 8 8 8 7 7 8 8 8 9 9 9 10 10 10 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 13 14 14 13 12 9 7 5 5 5 6 7 8 9 8 8 8 7 5 4 4 4 5 7 10 13 14 13 12 10 9 9 10 10 10 9 9 9 9 9 9 9 10 10 11 11 11 10 9 8 8 9 8 7 7 8 nan
nan 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 9 9 9 10 10 9 9 9 8 8 8 8 8 7 8 8 8 9 9 9 10 10 11 11 12 12 11 11 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 12 11 11 11 11 11 12 12 12 12 10 9 8 7 8 8 8 8 7 7 7 6 6 5 4 4 4 4 4 6 10 13 15 14 12 9 9 10 10 10 9 9 9 10 10 10 9 9 10 10 10 9 9 9 9 9 10 9 9 9 10 nan
nan 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 7 7 7 7 7 8 8 9 9 10 10 10 11 11 11 11 11 10 10 10 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 10 10 9 9 9 9 10 11 12 12 12 11 10 9 9 9 8 7 7 7 6 6 5 4 4 4 4 4 4 5 7 12 15 16 14 11 10 10 10 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 9 9 nan
nan 9 9 9 9 9 9 9 8 8 8 7 7 7 8 8 9 9 10 9 9 8 7 7 6 6 6 6 6 7 8 8 9 10 10 11 11 11 11 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 9 10 10 11 12 11 11 10 10 9 9 8 7 6 6 5 5 5 5 5 5 4 4 4 4 6 10 15 17 15 12 11 10 10 10 9 9 9 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 9 8 8 nan
nan 9 9 9 9 8 8 8 8 8 8 7 7 7 8 9 9 10 11 11 10 9 8 7 7 7 7 7 7 8 9 10 11 11 12 12 13 13 13 12 11 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 9 9 10 10 11 11 10 9 9 9 9 8 8 7 6 5 5 5 5 5 5 5 5 5 5 5 6 9 14 16 16 14 12 11 10 10 9 9 10 10 10 10 9 9 8 8 9 9 10 10 10 10 10 10 9 8 8 nan
nan 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 11 12 12 12 12 11 10 10 10 9 9 9 10 10 11 12 13 13 14 14 14 14 14 13 11 10 10 10 9 9 9 9 10 10 10 10 11 11 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 11 11 10 9 8 8 8 8 8 8 7 7 5 4 4 5 5 6 6 6 6 5 5 6 8 12 16 17 16 14 12 11 10 9 9 10 11 10 10 9 8 8 9 10 10 10 9 10 10 10 9 8 8 9 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 11 12 12 12 12 12 12 12 11 11 10 9 9 9 9 10 11 12 13 13 13 13 13 13 13 12 11 10 10 9 9 9 10 10 10 11 11 12 13 13 13 12 11 10 10 9 9 9 9 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 8 8 8 8 7 7 7 7 6 5 5 5 6 6 6 6 6 6 6 6 8 12 16 18 17 14 12 11 9 9 10 11 11 11 10 9 9 9 10 10 10 9 9 10 10 10 9 8 8 8 nan
nan 8 8 8 7 7 7 8 8 8 8 8 8 9 9 10 11 11 10 10 10 10 10 10 10 9 9 8 8 7 8 8 9 9 10 10 10 10 10 10 10 10 9 9 8 8 8 8 9 10 10 10 11 11 11 11 11 10 9 9 9 9 8 8 9 9 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 10 10 9 8 7 7 7 7 7 6 6 6 6 6 6 6 7 6 6 6 7 9 12 16 19 18 15 12 10 10 10 10 11 11 11 10 9 9 9 10 10 10 10 10 10 11 10 9 9 8 9 nan
nan 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 8 8 8 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 7 8 8 8 8 8 7 7 8 8 8 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 11 12 12 11 9 7 6 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 9 12 17 21 20 16 13 10 10 11 11 11 11 10 10 9 8 9 10 11 11 11 11 11 11 11 11 10 10 10 nan
nan 7 7 7 7 7 7 6 6 6 6 6 6 7 7 6 6 5 5 5 5 6 6 6 6 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 6 6 6 7 7 7 8 8 8 9 9 10 10 10 10 11 11 11 10 10 9 9 9 9 9 9 9 10 10 11 11 12 12 11 9 7 6 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 8 10 14 20 23 21 17 13 10 11 12 13 13 12 11 10 9 10 10 11 11 11 11 11 11 11 11 12 12 10 10 nan
nan 8 8 8 8 8 7 7 6 6 6 6 6 7 7 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 3 4 5 5 6 7 7 7 7 8 8 8 9 9 9 10 10 9 9 9 9 10 10 11 11 11 11 10 10 9 9 9 9 9 9 10 10 10 11 11 12 12 11 9 8 7 6 6 7 8 8 7 6 6 6 6 6 6 5 6 7 9 12 17 22 22 20 16 12 10 11 12 13 13 13 12 11 10 11 11 11 11 11 11 11 11 10 11 12 13 12 10 nan
nan 9 9 8 8 8 8 7 7 7 8 8 8 8 8 8 7 8 8 8 8 8 7 7 7 7 6 5 5 5 5 5 5 6 6 6 6 5 5 6 6 6 7 7 8 9 9 9 10 10 11 11 11 11 11 10 10 10 10 9 9 9 10 10 11 11 11 11 11 10 9 9 9 9 9 9 10 11 11 11 11 12 12 12 11 10 8 7 6 6 6 6 6 5 5 5 5 5 6 6 5 6 7 10 15 20 22 21 18 15 12 11 12 12 12 11 11 11 11 11 10 10 11 11 12 12 11 11 10 11 12 13 12 11 nan
nan 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 9 9 8 7 6 6 6 6 7 8 8 9 8 8 8 9 9 10 10 11 11 11 11 11 11 11 12 13 13 13 12 11 10 10 10 9 9 9 9 10 10 11 11 11 10 10 10 9 9 9 9 9 9 10 11 11 11 11 12 12 12 11 10 8 7 7 6 5 3 3 3 4 5 5 5 5 6 6 6 8 12 17 20 21 18 15 13 12 12 12 12 11 10 10 10 10 10 10 10 11 12 12 12 11 11 11 11 12 12 12 12 nan
nan 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 10 11 11 12 12 12 11 11 10 9 9 8 8 8 9 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 12 12 13 13 12 11 10 10 10 9 9 8 8 9 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 11 11 12 12 11 10 8 7 7 6 6 5 4 4 4 5 5 5 5 6 6 6 9 13 17 19 17 14 12 12 12 12 12 12 11 10 10 10 10 9 9 9 10 11 12 12 11 11 11 11 11 12 12 12 nan
nan 9 9 8 8 8 8 8 8 8 7 8 8 8 9 9 10 11 12 13 13 13 12 12 11 11 11 10 9 9 9 10 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 12 12 12 12 11 10 10 10 9 9 9 8 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 11 10 9 7 7 7 7 6 6 5 5 5 5 5 5 6 6 6 9 13 16 17 14 12 11 11 11 11 12 11 11 10 10 10 10 9 9 9 10 10 11 11 11 11 10 9 10 11 11 11 nan
nan 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 11 12 12 12 12 11 11 11 11 10 9 8 9 10 11 11 10 9 9 9 8 9 9 10 11 12 12 12 11 11 11 12 12 12 11 10 10 9 9 9 9 9 8 8 9 9 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 11 10 9 8 8 7 6 6 6 6 6 5 5 5 5 5 6 8 11 15 15 13 11 11 11 10 10 11 11 11 10 10 10 10 10 9 9 9 10 10 10 10 9 9 9 9 10 10 10 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 11 11 11 11 11 11 10 10 10 9 9 8 8 9 10 11 10 9 8 7 7 8 8 9 10 11 12 13 12 11 11 11 12 11 11 10 10 9 9 9 9 9 9 8 8 9 9 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 12 12 13 12 11 11 10 9 8 7 7 7 7 7 5 4 4 5 5 5 7 10 13 14 13 12 11 11 10 9 9 10 10 10 10 10 10 10 10 9 9 9 10 10 9 8 8 8 9 9 9 10 nan
nan 7 7 7 8 8 9 9 9 9 9 9 9 9 9 10 11 11 10 10 10 10 9 9 9 9 9 9 10 10 11 10 10 9 9 8 9 10 10 10 11 13 13 13 12 12 11 11 11 11 10 10 9 9 9 9 9 9 9 9 8 8 9 10 10 11 11 11 11 11 11 10 10 9 9 9 10 10 10 10 10 10 11 12 13 13 13 13 13 11 9 8 8 8 8 7 6 4 4 5 5 6 6 10 13 14 13 12 11 10 10 10 9 9 9 10 10 10 11 11 10 10 10 10 10 10 8 7 7 8 9 10 10 11 nan
nan 7 7 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 8 8 8 9 10 11 11 11 11 10 10 10 11 12 13 13 13 14 14 14 14 13 12 11 11 11 10 10 10 10 9 9 9 9 9 9 9 8 8 9 10 10 10 11 11 11 11 11 10 10 9 9 9 10 10 11 10 10 10 11 12 13 14 14 15 14 13 10 9 9 9 9 7 6 4 4 4 5 6 7 10 13 14 14 12 10 10 9 10 10 10 9 9 9 10 11 11 11 10 10 11 11 10 9 8 8 9 10 10 11 12 nan
nan 7 8 9 9 10 10 10 10 10 9 9 8 9 9 9 10 10 10 9 9 8 8 7 7 7 8 9 10 10 10 10 11 11 12 13 14 15 15 15 15 15 14 13 13 12 11 11 10 10 10 10 10 10 9 9 9 9 9 9 8 9 9 9 10 10 10 10 10 10 10 11 11 11 10 10 10 10 11 11 10 10 10 11 13 13 14 15 15 13 12 10 9 9 8 7 6 4 3 3 4 5 7 9 12 13 14 12 10 9 9 9 9 10 9 9 9 9 10 11 11 11 11 11 11 11 11 9 9 9 9 10 11 11 nan
nan 9 9 9 10 10 10 10 10 9 9 8 8 9 9 9 10 9 9 9 8 7 7 6 7 7 8 8 9 9 9 10 10 12 13 14 15 15 15 14 14 14 13 13 12 12 11 10 10 10 9 9 10 9 9 9 8 8 8 9 9 9 10 10 10 10 10 10 9 9 10 11 11 12 11 10 10 10 11 11 10 10 10 11 12 13 14 14 14 14 13 11 10 9 9 8 6 5 3 2 3 4 5 7 10 13 14 13 10 9 9 9 9 9 9 9 9 9 9 10 11 11 11 11 11 11 11 11 10 10 9 9 10 11 nan
nan 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 8 8 8 8 8 9 9 11 13 14 14 14 14 13 13 13 13 12 12 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 10 9 8 9 10 11 12 11 10 9 9 10 11 11 10 10 11 11 12 13 14 14 14 14 12 11 10 9 8 7 5 3 2 2 3 4 5 8 11 13 13 11 10 8 8 8 8 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 10 9 9 9 nan
nan 10 10 10 9 10 10 10 10 9 9 9 9 9 9 9 8 8 8 7 7 7 8 8 9 9 9 9 9 9 9 11 12 13 14 14 13 12 12 12 12 12 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 10 11 11 10 9 8 9 10 11 11 10 9 8 9 11 11 11 11 11 11 12 12 13 13 14 14 13 12 11 10 9 8 6 4 2 2 2 3 4 6 9 11 12 11 10 8 7 7 8 8 9 9 9 9 9 9 10 10 11 11 11 10 10 11 11 10 8 7 7 nan
nan 10 9 9 9 9 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 9 10 11 12 13 13 13 12 12 12 12 12 12 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 10 9 9 9 9 10 10 10 10 9 9 9 10 10 10 10 8 8 9 10 11 11 11 11 11 11 11 12 13 14 14 14 13 12 11 10 9 7 5 3 2 2 2 4 5 8 10 12 11 10 8 8 7 8 8 9 9 9 8 8 8 9 10 11 10 10 10 10 10 9 9 7 7 7 nan
nan 9 9 9 9 9 10 10 9 8 7 7 7 7 8 8 8 9 9 9 8 8 9 9 10 10 11 11 11 12 13 13 12 12 11 11 11 11 11 11 11 11 11 10 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 9 9 10 10 10 10 10 10 10 11 12 13 14 13 13 12 12 11 11 9 6 4 2 2 3 4 6 8 10 10 10 9 9 9 8 8 8 9 9 9 8 8 8 9 10 10 10 9 9 9 9 9 9 8 8 8 nan
nan 9 8 8 8 9 9 9 8 7 6 6 6 6 7 8 9 9 10 9 9 9 9 10 10 11 12 12 12 13 12 12 11 10 10 10 10 11 10 10 11 11 10 10 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 10 10 9 10 10 10 9 9 8 7 8 8 9 10 10 10 10 10 10 10 10 10 12 12 13 13 13 13 13 13 12 10 8 5 3 3 4 5 6 8 10 10 9 9 9 9 9 9 9 9 9 9 8 7 8 9 9 10 10 9 9 9 9 10 10 10 8 7 nan
nan 8 8 8 8 8 8 8 7 6 5 5 5 6 8 8 9 9 9 9 9 9 10 11 12 12 13 13 13 12 12 11 10 10 10 10 10 10 10 10 10 10 10 9 8 8 8 8 8 9 10 10 10 10 9 9 9 9 9 10 10 10 11 11 12 12 12 11 11 12 12 11 10 10 9 8 8 9 9 10 12 12 12 11 10 9 10 10 11 11 12 13 14 14 14 14 13 12 10 7 5 5 5 6 7 9 11 10 10 9 9 9 9 9 9 10 9 8 7 7 7 8 9 10 10 9 9 9 10 10 11 10 8 6 nan
nan 7 7 7 8 8 7 7 6 5 5 5 6 7 8 9 9 9 9 9 10 11 11 12 13 13 13 13 13 12 11 10 10 10 9 9 9 9 9 9 10 10 10 10 9 9 8 8 8 9 10 10 10 10 9 9 9 9 10 10 10 10 11 11 12 13 13 14 14 14 14 14 13 12 11 10 10 10 10 12 13 14 13 11 9 9 9 10 11 11 11 12 12 12 13 13 13 13 11 9 7 6 6 7 8 11 12 12 11 10 9 8 7 8 10 11 10 9 7 7 7 7 9 10 10 10 10 10 11 11 10 8 6 4 nan
nan 6 6 6 7 7 7 6 6 6 6 6 7 9 10 10 10 10 10 10 11 12 13 13 14 14 14 14 14 13 12 12 11 11 10 9 9 9 9 9 10 11 12 12 11 10 9 8 8 8 9 9 10 10 9 9 9 10 10 10 10 10 11 11 12 13 14 15 15 16 16 16 16 15 13 12 12 11 11 13 14 15 14 12 10 9 10 10 11 11 11 10 9 9 10 11 12 12 11 9 8 7 7 8 10 12 13 13 12 11 9 7 6 8 11 13 11 9 8 8 8 8 9 9 10 10 10 11 11 10 9 8 5 3 nan
nan 5 5 5 6 6 7 7 7 7 7 8 10 11 12 12 11 10 10 10 11 13 14 15 16 16 16 16 16 16 15 14 14 12 11 10 9 9 9 9 10 11 12 12 12 11 10 9 9 8 8 9 9 9 9 9 10 10 11 11 10 10 10 10 11 12 13 14 15 15 16 17 16 15 14 13 12 12 11 12 13 13 13 13 12 12 11 11 11 10 10 10 9 9 9 10 10 10 9 8 7 7 7 9 10 12 12 12 12 11 10 9 9 10 13 14 11 9 9 9 10 10 9 9 9 10 10 10 9 8 7 6 4 2 nan
nan 4 4 5 6 7 7 7 8 8 9 10 12 12 12 12 11 10 10 11 12 14 15 17 18 19 19 19 19 18 17 16 16 14 13 12 10 10 10 10 10 11 11 11 11 10 10 9 9 8 8 9 9 9 9 9 10 11 11 11 10 9 9 9 10 11 12 12 12 13 15 16 15 14 12 12 12 11 10 10 10 11 11 12 13 13 13 11 10 10 10 10 9 9 9 9 8 7 7 7 7 7 8 9 10 11 11 10 10 10 11 11 13 16 16 13 10 9 9 10 10 10 9 9 9 9 9 8 6 4 3 2 0 -0 nan
nan 4 4 5 6 6 7 8 9 10 11 11 12 13 12 11 10 9 10 12 13 14 15 16 17 18 18 18 18 16 16 16 17 16 15 14 12 11 11 11 11 10 11 11 11 10 10 9 9 9 9 9 9 9 10 10 10 10 11 11 10 9 7 7 9 10 12 12 11 11 12 13 13 12 12 12 12 11 10 9 9 9 11 12 13 13 13 12 11 11 11 11 10 10 10 8 6 6 5 6 7 7 8 9 10 10 9 8 8 9 10 12 15 17 16 14 12 10 10 10 9 9 8 8 8 8 7 4 2 0 0 0 -0 1 nan
nan 5 5 5 6 6 7 8 9 10 11 11 12 13 12 11 10 10 11 12 13 13 13 12 12 13 13 13 13 12 13 15 16 16 15 13 12 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 10 10 10 10 10 10 11 11 10 8 6 6 7 8 10 11 11 10 10 10 10 10 10 11 12 12 11 10 9 9 11 12 12 12 12 12 11 12 12 12 12 11 11 9 7 5 4 4 5 5 6 7 9 9 7 6 6 8 10 12 13 14 13 13 15 15 13 11 10 8 8 7 6 5 3 0 -1 -1 1 3 5 7 nan
nan 6 6 6 7 7 8 9 10 10 11 12 13 13 12 11 11 11 12 13 13 11 9 8 8 8 8 8 8 9 10 12 13 13 12 10 9 9 9 9 9 10 10 11 11 11 10 9 9 9 9 10 10 10 10 10 10 10 11 11 11 9 7 6 6 6 7 8 9 9 9 8 7 7 8 10 12 13 12 10 9 10 10 11 11 10 10 10 11 11 12 12 12 12 11 9 7 5 3 3 3 4 4 6 8 8 6 5 6 8 10 11 10 9 9 11 14 16 14 12 11 8 5 3 2 0 -1 -2 -1 2 6 9 12 14 nan
nan 7 8 8 8 8 8 9 10 11 13 14 14 14 13 12 12 12 13 13 12 10 8 7 6 7 7 7 6 7 7 9 9 9 8 7 7 7 7 7 8 9 9 10 10 10 10 9 9 9 9 9 10 9 9 9 9 10 11 12 12 11 10 8 7 6 6 6 7 7 8 7 7 7 8 10 12 12 12 11 10 10 10 10 9 9 9 9 10 10 11 12 11 11 10 9 7 5 4 3 3 3 4 6 8 7 6 5 7 9 10 10 8 7 7 8 10 11 11 11 10 6 2 -0 -1 -0 1 2 6 10 14 17 18 18 nan
nan 9 9 10 9 9 9 9 10 11 14 15 15 14 13 12 12 12 13 13 12 10 8 7 7 8 8 7 6 6 6 6 6 7 6 6 7 7 7 7 7 8 9 9 10 10 10 10 10 10 9 9 9 9 8 8 9 10 11 12 12 12 12 11 10 8 7 8 8 9 9 8 8 8 9 11 12 12 12 11 10 10 10 10 9 9 9 9 10 10 11 11 11 11 10 9 8 7 6 5 4 4 5 7 7 6 5 6 9 11 11 10 9 7 7 7 8 9 10 11 10 6 4 3 4 6 8 11 15 19 22 23 21 19 nan
nan 10 10 10 10 9 9 9 10 12 14 15 15 14 13 13 12 12 13 13 11 10 9 8 8 8 8 7 7 7 6 6 7 7 7 8 8 8 8 8 8 8 8 9 10 10 10 10 10 10 10 9 9 9 8 8 9 10 11 11 12 12 12 12 11 10 10 10 11 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 9 10 10 10 10 10 11 11 11 10 9 8 8 7 7 7 7 6 7 7 7 7 7 8 11 12 13 11 10 9 9 10 11 13 14 15 14 11 11 11 12 14 17 19 22 23 22 20 17 15 nan
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nan 11 11 11 11 11 12 12 12 12 12 13 13 13 12 12 12 12 12 12 12 11 10 9 8 7 7 6 6 7 8 8 9 9 9 9 9 8 8 8 7 6 6 7 7 8 9 11 11 11 11 10 10 10 10 10 10 10 11 11 12 12 12 11 11 11 11 12 12 13 13 13 13 12 12 11 10 10 10 9 9 9 9 9 9 10 10 10 11 11 11 11 11 10 9 8 8 7 7 7 8 8 8 8 8 9 10 10 10 10 10 10 10 10 11 12 13 13 13 13 12 12 13 13 13 15 15 15 14 13 12 12 12 14 nan
nan 12 12 12 13 13 14 13 13 12 12 12 12 12 12 12 12 12 12 12 13 12 12 11 10 9 9 8 8 9 9 9 9 8 9 9 9 8 8 7 7 6 5 5 7 9 10 11 11 10 10 10 10 10 10 10 10 11 11 12 12 13 12 11 10 10 10 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 10 10 11 11 11 11 11 11 10 9 8 8 8 7 7 7 7 8 8 8 9 9 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 12 13 13 13 14 16 18 20 20 nan
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nan 13 12 12 11 10 10 10 10 10 11 11 11 11 10 9 9 9 10 10 9 9 8 7 7 8 9 9 9 9 9 10 11 11 10 9 8 9 11 12 13 13 12 12 13 14 13 11 9 7 6 7 7 7 6 6 7 10 14 16 18 19 16 13 11 10 11 12 13 13 13 13 14 15 16 15 13 11 9 7 8 9 10 11 11 11 13 14 13 11 9 7 6 6 5 4 3 3 5 7 8 9 9 8 8 8 7 5 3 1 0 0 1 2 2 1 -1 -2 -0 5 12 20 22 18 14 11 10 9 9 9 9 9 9 9 nan
nan 13 13 12 12 11 11 10 10 10 10 11 11 11 10 9 8 8 9 9 9 8 7 7 8 9 9 9 8 7 8 9 10 10 10 10 10 10 11 12 11 11 10 10 12 13 13 12 10 8 8 8 7 6 4 3 4 7 10 14 17 20 19 17 15 14 13 12 12 11 11 12 13 15 16 16 14 12 9 8 9 10 11 10 10 11 12 13 11 9 7 6 5 5 4 3 4 5 6 7 8 8 8 8 9 10 9 8 6 4 4 5 6 6 5 4 3 4 9 16 22 26 24 19 14 10 8 8 8 8 9 9 9 9 nan
nan 13 12 12 12 12 11 11 10 10 10 10 10 10 10 9 8 8 8 8 8 8 7 8 9 10 10 10 9 8 8 9 10 10 10 11 12 12 12 11 10 9 8 8 10 11 12 13 11 10 9 9 8 6 4 3 3 4 6 8 11 14 16 17 17 17 15 13 11 10 9 9 10 11 12 12 11 10 8 8 9 9 9 9 9 10 11 11 10 9 8 8 7 6 6 6 6 7 7 7 7 7 7 8 9 9 9 9 8 7 8 8 9 9 10 10 11 14 19 23 26 25 20 16 12 9 7 7 7 8 9 9 10 10 nan
nan 12 11 11 12 12 12 11 11 11 10 11 10 10 10 9 9 8 8 8 8 8 8 9 10 11 12 11 10 9 9 9 9 10 10 11 13 13 13 13 11 9 8 9 10 11 12 13 12 11 10 10 9 8 7 6 4 3 3 3 4 6 9 11 14 14 13 11 10 8 8 7 7 8 8 7 7 6 6 6 6 6 6 6 8 9 9 9 10 10 11 10 10 9 8 8 7 7 6 6 6 6 7 8 9 9 9 9 9 9 9 9 10 11 13 15 17 20 23 24 23 19 15 12 9 8 7 7 8 8 9 10 10 10 nan
nan 11 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 10 11 12 13 14 13 11 10 10 9 9 10 10 12 13 13 14 14 12 11 10 10 11 12 13 12 11 11 11 10 10 10 9 8 6 5 3 2 1 1 3 5 7 9 10 9 8 7 6 6 5 5 5 5 4 4 4 4 4 4 4 5 6 7 7 8 9 10 11 11 10 9 7 6 5 5 4 5 6 7 7 8 9 9 9 9 9 9 9 9 11 13 15 18 20 22 24 23 19 14 11 8 7 7 7 8 8 9 9 10 10 10 nan
nan 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 13 14 14 14 13 12 11 11 10 10 11 11 12 13 13 13 12 11 10 10 11 12 13 13 12 12 11 11 11 11 10 10 9 8 7 5 3 1 1 1 1 4 6 7 8 7 6 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 6 6 7 7 7 7 7 5 4 2 2 2 3 4 5 6 7 8 9 9 9 9 9 9 9 10 11 13 16 18 20 21 23 23 21 17 12 8 6 7 8 9 9 9 9 9 9 9 10 nan
nan 10 10 10 9 9 9 9 9 9 10 11 12 13 13 13 13 13 13 12 11 11 12 13 14 13 13 12 12 12 13 12 12 12 13 13 13 12 11 10 8 8 8 9 11 13 13 13 12 12 12 11 11 11 11 10 10 9 8 7 5 3 2 2 3 5 7 7 6 5 5 5 6 6 6 5 5 5 4 4 4 4 5 5 6 6 6 6 4 3 2 1 -0 -1 -1 1 2 4 5 7 7 8 8 9 9 9 9 9 9 10 11 14 18 20 21 21 21 22 21 19 14 10 7 7 8 9 10 10 10 9 9 9 10 10 nan
nan 10 10 9 9 8 8 8 9 9 9 10 11 12 12 13 14 14 14 12 10 9 9 9 9 9 9 9 11 12 13 14 14 14 14 14 13 12 10 8 7 7 8 10 12 13 13 13 13 13 13 12 12 12 12 12 12 12 12 10 9 7 6 6 6 7 7 6 5 5 7 8 9 9 8 7 6 6 5 5 5 5 6 6 6 7 7 6 5 3 1 0 -0 0 1 3 5 6 7 8 8 8 9 9 10 10 10 9 10 11 15 20 21 21 20 19 20 20 19 15 11 9 8 9 10 10 10 10 10 10 9 10 10 10 nan
nan 10 10 9 9 9 8 8 9 9 9 9 9 9 10 11 13 14 15 14 13 12 10 8 5 4 5 6 8 10 12 12 13 14 14 14 13 11 9 8 8 9 10 12 13 13 12 12 12 12 12 12 12 13 13 14 13 13 12 12 11 10 9 9 9 9 7 5 5 8 11 13 14 13 11 10 9 8 7 6 6 6 7 7 8 8 8 7 7 6 5 4 4 5 6 6 7 7 8 8 8 9 9 9 10 10 9 9 11 14 19 22 22 19 17 16 17 17 15 12 9 9 9 10 10 10 10 10 10 10 10 10 10 10 nan
nan 10 10 10 10 9 9 8 8 8 8 8 7 7 8 9 12 14 16 16 16 15 13 10 8 6 6 7 9 10 10 10 11 12 13 14 13 12 11 10 10 11 12 13 13 13 12 11 11 11 12 12 12 13 14 14 13 13 12 12 12 12 11 11 10 9 7 6 7 10 13 16 17 17 16 14 13 11 9 8 8 9 10 11 11 10 10 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 13 16 20 22 20 17 15 15 15 15 12 9 8 8 9 9 9 10 10 10 10 10 10 10 10 10 nan
nan 10 11 11 10 9 9 8 8 8 8 7 7 7 7 8 10 12 15 16 17 16 14 12 11 10 10 11 10 9 7 7 8 10 12 14 13 13 12 12 12 12 13 13 12 12 11 11 11 11 12 12 12 13 14 14 13 12 11 11 11 11 11 11 11 9 8 7 9 11 13 14 15 17 18 18 18 15 13 11 10 10 11 13 13 13 12 11 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 12 15 19 22 22 20 16 15 16 15 15 11 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 nan
nan 11 11 11 10 9 8 8 8 8 7 7 7 7 7 7 9 11 12 14 16 15 14 13 12 12 12 11 8 6 5 5 6 8 10 12 12 13 13 12 12 12 12 12 11 11 11 11 11 12 12 12 12 12 13 13 12 12 11 10 10 11 11 11 11 9 9 9 9 10 11 12 13 14 16 18 19 19 17 16 13 10 9 9 10 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 11 11 12 14 18 21 22 21 19 16 15 15 15 14 12 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 nan
nan 11 11 11 10 9 9 8 8 8 7 7 7 7 7 7 8 9 11 13 14 13 13 12 11 11 10 8 6 5 5 5 6 8 9 10 11 12 12 12 12 11 11 10 10 11 11 12 12 12 12 12 11 11 11 11 11 11 11 10 10 11 11 11 11 10 10 10 9 9 10 11 12 13 14 15 16 18 19 18 16 12 8 6 5 5 6 7 7 8 8 8 8 8 8 8 8 8 9 9 10 10 11 11 11 11 14 16 18 20 19 17 14 13 12 12 13 13 12 12 11 11 10 10 9 9 9 9 9 9 10 10 10 11 nan
nan 12 12 11 10 9 9 8 8 8 7 7 7 7 7 7 8 9 10 11 12 11 11 10 10 9 8 7 7 7 8 8 8 9 9 10 10 10 11 11 11 10 10 10 10 11 12 12 12 12 12 11 10 9 8 8 9 10 11 11 11 11 11 11 11 11 11 11 10 10 10 11 12 13 14 14 15 16 18 19 19 16 12 9 5 4 4 5 6 6 6 6 7 7 7 8 8 9 9 10 11 11 11 11 12 13 15 16 17 17 15 12 11 10 10 11 11 11 11 11 11 10 10 10 10 9 9 9 9 10 10 10 10 11 nan
nan 13 12 11 10 9 9 8 8 7 7 7 7 7 7 8 8 9 11 11 11 11 10 9 9 9 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 11 12 12 12 12 11 11 9 8 7 7 8 10 11 11 12 12 11 11 11 11 11 11 11 11 12 13 14 14 14 14 14 15 16 18 19 18 16 13 11 9 9 9 8 8 7 7 7 8 8 9 10 11 11 12 12 12 12 12 12 14 15 15 15 13 11 10 9 9 10 10 10 10 11 11 10 10 10 10 10 9 9 9 10 10 10 10 11 11 nan
nan 14 13 12 10 9 8 8 7 7 7 7 7 7 8 9 9 10 11 12 12 11 10 9 8 8 9 10 11 12 11 11 11 10 10 10 9 9 9 10 9 9 10 10 10 11 11 10 10 11 10 10 9 8 8 8 9 10 11 12 12 12 12 11 10 10 10 10 11 12 13 14 14 14 14 14 14 13 13 14 15 15 15 14 13 13 14 14 13 12 12 11 11 12 12 12 13 13 14 13 13 13 12 13 13 14 15 14 12 10 9 8 8 9 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 11 11 11 nan
nan 15 14 12 11 10 8 7 7 6 7 7 8 8 9 10 10 11 12 12 12 12 11 9 8 8 9 10 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 8 9 9 10 9 9 8 8 9 11 11 11 12 12 12 12 12 11 11 11 11 12 13 13 14 14 13 13 13 12 11 10 10 10 10 11 12 13 14 15 16 17 17 17 17 18 18 18 18 18 17 16 15 15 15 14 14 14 14 14 13 10 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 11 11 11 11 nan
nan 15 14 13 11 10 9 7 7 7 8 9 9 9 10 10 11 12 12 12 12 12 11 10 10 10 11 12 13 13 13 13 12 12 11 11 11 11 11 11 11 11 11 10 9 8 8 8 9 10 10 10 9 8 9 10 11 11 11 12 12 13 12 12 12 12 12 12 13 14 14 14 13 13 12 12 11 10 10 9 9 9 10 12 14 16 17 18 18 19 20 21 22 24 25 25 22 20 19 18 17 16 15 15 14 13 12 11 9 9 8 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 11 11 11 11 11 nan
nan 14 13 12 11 10 9 8 8 9 9 10 11 11 11 11 12 12 12 12 12 12 12 12 13 13 14 14 15 15 15 14 13 12 11 11 11 12 12 12 13 12 11 10 8 7 8 9 10 11 11 10 9 8 8 9 10 11 11 12 12 12 13 12 12 12 13 13 14 15 15 14 14 13 13 12 11 11 11 11 11 11 12 14 15 17 18 18 17 16 17 19 22 25 27 26 24 22 20 19 18 16 15 13 13 12 11 10 9 9 10 10 10 9 9 9 9 10 10 11 11 11 10 10 10 10 10 10 11 11 11 11 11 10 nan
nan 13 12 11 10 10 10 9 10 11 11 12 12 12 13 13 13 13 13 13 13 13 13 14 14 14 14 14 15 16 15 14 12 12 11 11 11 11 11 13 13 12 11 9 8 7 8 10 11 11 11 10 9 9 9 9 10 11 11 12 12 12 12 13 13 13 13 14 14 15 15 15 15 14 14 12 12 12 12 12 12 11 11 12 13 15 15 15 14 13 13 14 18 21 22 21 20 19 17 17 15 14 12 11 11 10 10 10 10 10 11 11 10 10 9 9 9 10 10 11 11 11 10 10 10 10 10 11 11 11 11 10 10 10 nan
nan 11 10 9 9 9 10 11 12 13 14 14 14 14 14 14 14 14 14 15 15 15 14 13 12 11 11 12 14 14 13 12 10 9 9 9 8 9 10 12 12 12 11 9 8 9 9 11 11 12 12 11 10 10 9 9 10 10 11 11 12 12 12 13 13 13 14 14 15 15 15 15 15 14 13 13 13 13 13 12 11 10 9 9 10 11 12 12 11 11 12 13 15 16 16 15 14 13 12 12 12 11 10 10 10 10 10 11 11 11 11 11 10 10 9 9 10 10 11 11 11 11 10 10 10 11 11 11 11 11 11 10 10 10 nan
nan 8 8 8 8 10 11 13 14 15 15 15 15 15 14 15 15 16 16 17 17 16 15 13 11 9 9 10 11 11 10 8 7 6 6 6 6 7 9 10 11 11 11 10 10 11 11 11 12 12 12 12 11 11 10 9 9 9 10 11 12 13 13 12 13 13 13 14 14 15 15 15 14 13 13 13 13 13 12 11 10 9 9 8 9 10 10 10 10 11 12 13 13 13 12 12 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 10 10 11 11 11 11 11 11 11 10 10 10 nan
nan 7 7 8 9 11 13 14 15 15 15 15 14 14 14 15 16 17 18 18 18 17 16 14 12 11 11 11 11 10 9 7 5 4 4 5 6 7 9 10 11 12 12 12 12 12 12 12 12 13 13 13 13 12 11 9 9 10 10 12 13 13 13 12 12 12 12 13 13 13 14 14 13 13 13 13 13 12 11 10 9 9 8 8 9 10 10 10 10 11 11 12 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 7 8 9 10 12 13 14 15 15 14 13 13 13 14 14 15 17 17 18 17 17 17 16 14 13 12 12 12 12 10 8 5 5 5 7 8 9 10 11 12 12 13 13 12 12 12 12 13 13 14 14 13 13 12 11 10 11 12 12 12 12 12 11 11 11 12 12 12 13 13 13 13 13 13 13 13 12 10 9 9 8 8 9 9 10 11 11 11 11 10 10 9 9 9 10 11 11 12 12 12 12 11 11 11 11 11 11 11 10 9 9 9 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 nan
nan 9 9 10 11 12 13 14 14 14 13 12 12 12 12 13 15 16 17 17 17 17 17 16 14 13 12 11 12 12 11 9 7 6 7 8 9 10 11 12 13 13 14 13 13 12 12 12 12 12 13 13 12 12 12 11 12 12 12 12 12 11 11 11 11 12 12 12 12 12 13 13 13 13 13 14 13 12 11 10 9 9 9 9 10 11 12 12 11 10 8 8 8 8 9 10 11 12 12 12 12 12 12 11 11 11 11 11 10 10 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 nan
nan 10 10 11 12 12 13 14 14 13 12 10 10 10 10 12 14 16 16 16 15 16 16 15 14 12 11 10 11 11 10 9 8 8 8 9 9 10 12 13 14 14 14 13 12 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 13 13 14 14 14 13 13 11 10 9 9 9 10 10 10 10 9 8 7 6 7 7 8 9 10 11 12 12 12 12 12 12 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 nan
nan 10 10 11 12 12 13 14 14 12 11 9 8 8 9 11 13 14 15 14 14 14 15 15 14 13 12 10 9 9 9 9 9 9 8 9 9 11 12 14 14 14 13 12 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 13 13 14 14 15 14 14 13 12 10 10 10 11 11 10 8 6 5 5 6 7 7 8 8 9 10 11 12 12 12 12 12 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 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
CAPE
9 9 11 14 16 16 15 13 11 8 7 7 11 16 20 23 23 21 18 16 15 13 11 9 10 12 14 16 15 14 14 14 13 12 9 7 8 8 9 9 9 9 10 8 6 4 3 3 4 7 11 15 16 14 10 7 6 5 4 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 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 1 2 6 9 11 10 9 7 6 5 5 7 12 14 16 18
13 12 13 17 20 21 20 17 13 8 4 4 6 10 15 19 21 21 19 17 17 15 13 13 14 16 17 18 19 19 19 18 16 14 12 11 11 11 12 12 12 12 12 11 10 9 9 9 10 14 17 18 16 12 9 8 8 8 7 6 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 6 9 9 7 5 6 10 11 13 14 13 13 17
14 14 16 20 24 27 25 21 16 11 6 4 5 7 11 15 15 16 17 17 17 17 15 16 17 18 18 19 20 21 21 21 18 16 15 15 15 16 17 17 17 16 15 16 17 17 16 16 16 18 19 18 14 11 11 11 11 12 11 10 8 6 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 6 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 1 4 7 7 5 5 9 14 15 14 12 12 16 15
20 20 21 24 27 29 28 24 20 16 12 8 7 7 9 12 13 13 14 15 16 17 18 19 20 21 21 21 22 21 20 20 17 16 16 16 17 17 17 17 17 17 17 18 18 18 17 16 15 16 16 15 14 14 15 15 14 14 14 11 8 6 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 6 11 16 14 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 2 5 5 6 10 14 16 16 14 13 14 21 20
23 24 24 24 23 22 24 25 24 23 20 16 12 10 11 13 14 15 15 16 17 18 21 22 23 24 25 25 24 22 20 19 18 17 17 17 16 14 14 14 15 16 17 17 17 16 16 16 15 14 14 15 18 20 21 19 17 15 12 10 7 6 6 6 5 4 3 2 0 1 1 0 1 1 2 3 3 6 10 16 23 26 23 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 0 0 0 0 0 0 0 0 0 0 0 3 5 8 12 15 16 17 18 20 25 31 33
20 21 19 17 15 11 16 20 23 24 23 21 17 16 16 17 18 19 20 20 20 21 21 21 21 22 23 24 24 23 22 21 20 18 17 16 14 12 12 12 12 14 16 18 17 15 15 15 15 15 18 21 23 24 23 21 18 16 14 12 10 9 10 11 11 10 9 8 6 7 7 8 9 12 16 18 21 26 33 40 38 29 17 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 1 3 7 14 20 20 18 19 25 31 35 43
11 11 10 8 6 4 8 11 15 19 22 18 17 17 19 22 25 24 21 17 13 13 15 16 17 18 19 19 20 20 20 20 19 18 17 16 14 12 11 9 9 10 13 15 16 16 15 16 19 20 21 22 21 20 18 16 15 15 14 13 13 14 15 16 17 18 18 18 18 21 26 29 33 38 39 41 44 48 49 47 33 18 7 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 2 5 10 18 18 18 20 26 31 33 46
6 6 5 4 3 3 4 5 6 8 9 8 9 12 15 19 21 20 16 13 11 13 14 15 15 14 15 13 12 12 12 14 16 20 24 24 21 17 13 11 10 12 15 17 19 20 20 21 22 20 18 17 17 14 13 12 12 13 14 16 18 20 23 27 29 32 34 35 35 37 40 44 49 53 49 48 49 49 46 41 26 12 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 1 4 13 19 22 24 27 33 33 36 54
2 2 2 2 2 2 2 2 2 2 3 4 6 6 6 7 8 9 8 9 11 11 10 9 8 7 6 4 3 3 4 6 11 17 21 24 24 22 18 17 19 24 37 28 22 19 20 18 17 15 13 11 11 12 14 15 17 19 21 24 27 31 36 46 48 51 52 49 46 44 44 44 42 41 36 33 33 33 32 29 19 9 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 1 13 23 28 31 35 53 45 47 67
1 1 2 2 2 1 1 1 1 1 1 1 1 1 1 0 0 1 1 1 1 1 1 1 1 1 1 0 0 0 0 2 4 7 10 14 18 20 20 20 23 28 33 27 21 18 15 12 11 10 10 11 15 19 23 26 29 30 32 36 39 41 44 47 51 52 49 45 43 41 39 34 27 20 16 13 13 13 13 12 7 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 1 2 4 9 13 17 23 31 55 50 48 56
2 2 2 2 2 1 1 1 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 1 2 3 6 9 12 14 16 19 20 19 17 12 8 9 9 9 10 14 21 28 33 35 36 35 34 34 34 35 37 38 40 40 38 37 34 30 26 21 15 9 5 3 2 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 0 2 8 11 12 11 12 18 24 33 35 42 60
2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 7 9 10 8 4 4 7 9 11 13 16 21 27 31 33 32 31 28 25 24 22 22 24 25 26 27 27 20 15 12 9 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 2 8 15 18 18 18 26 25 22 23 29 40
2 2 2 1 1 1 1 1 1 1 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 1 2 2 2 2 1 3 6 9 11 14 16 18 22 24 24 24 23 19 15 14 14 15 15 17 18 17 11 6 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 0 0 0 0 0 0 0 1 3 11 22 25 24 23 26 25 24 22 21 20
2 2 2 1 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 1 2 1 2 5 7 10 13 14 17 18 18 18 18 15 14 14 15 15 13 15 15 10 5 2 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 22 28 30 29 27 25 24 22 22 25 25
2 2 2 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 1 1 1 1 1 0 0 0 1 1 1 0 2 4 6 9 11 13 15 16 15 17 15 14 15 16 16 15 15 14 9 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 16 21 24 26 26 24 22 20 20 24 33 32
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 1 2 2 3 4 4 2 1 0 1 1 1 2 4 6 8 9 11 13 16 17 16 17 16 15 15 14 14 17 19 19 15 9 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 2 8 17 21 19 18 19 21 19 19 18 21 34 45 41
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 1 1 2 3 4 5 6 5 3 2 2 3 5 6 8 11 13 14 15 15 16 18 20 21 22 23 25 25 23 23 27 30 30 26 17 18 13 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 10 20 23 20 17 15 14 16 13 13 12 12 17 30 33
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 1 1 2 3 5 5 5 5 5 6 7 6 4 4 6 7 10 13 15 18 21 22 22 22 21 21 23 25 27 30 35 36 36 37 39 38 34 29 23 13 9 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 18 25 21 19 18 16 15 13 10 9 9 9 10 21 24
2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 1 1 1 0 1 1 2 3 4 7 11 15 16 15 14 13 13 13 12 11 13 15 17 19 21 23 24 26 26 25 25 24 23 23 26 30 37 47 44 35 32 28 22 17 13 8 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 13 16 15 17 20 19 16 16 14 12 10 10 10 8 16 21
1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 3 4 5 5 5 5 4 3 2 2 3 3 5 8 13 20 25 27 26 25 23 24 23 23 22 23 25 25 26 27 26 25 26 27 28 29 32 34 37 42 50 53 49 40 30 24 20 20 20 20 14 10 5 2 0 0 0 0 0 0 0 0 1 1 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 2 10 15 13 12 14 16 15 12 12 13 14 13 12 11 11 10 10
1 1 0 1 1 1 1 0 0 0 1 1 1 2 3 4 5 6 7 8 8 8 6 5 4 3 3 4 6 10 17 26 32 36 37 37 35 34 32 29 26 25 28 30 32 32 29 29 31 35 40 44 52 57 59 58 57 51 40 31 26 22 22 22 22 21 21 13 6 2 0 0 0 0 0 1 2 7 9 9 7 5 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 10 9 8 8 8 8 9 11 12 14 16 18 15 12 10 10
1 1 2 2 2 2 2 1 1 1 1 1 1 2 3 3 5 7 8 10 12 12 11 9 7 6 4 5 8 13 19 28 36 41 45 48 47 45 42 39 38 41 40 45 47 45 41 41 45 53 60 65 72 74 70 59 45 39 35 32 29 26 25 23 22 20 14 8 3 1 1 0 1 1 2 4 9 19 27 29 20 6 6 4 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 2 4 4 4 4 4 5 6 8 10 11 12 12 21 17 12 10 11
3 2 3 4 4 3 2 1 1 1 1 0 1 2 3 4 5 7 8 11 15 19 21 21 18 13 9 10 15 20 26 33 43 52 58 63 68 70 69 70 74 84 78 73 68 62 54 49 54 61 69 77 80 77 64 46 34 32 34 35 34 32 27 26 26 25 19 10 6 4 4 3 4 6 8 9 13 17 23 25 17 7 7 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 1 2 3 3 4 4 6 8 10 10 11 12 12 11 10 10
4 4 5 5 4 4 3 2 1 1 1 0 1 2 3 3 4 5 7 11 15 21 27 31 30 25 20 21 24 27 33 42 52 64 75 83 87 86 82 82 87 93 75 63 60 60 54 51 57 67 77 83 74 62 48 35 31 32 31 29 26 27 28 30 31 31 28 21 16 12 11 10 13 16 17 15 15 13 11 10 10 12 12 10 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 1 2 4 5 6 7 9 11 14 15 13 12 11 11
5 6 6 6 5 4 3 1 1 1 1 1 1 1 2 2 4 6 7 10 13 17 22 27 28 27 26 27 28 30 35 44 57 61 65 69 72 68 66 73 84 89 81 70 60 53 52 53 63 75 81 74 59 44 35 31 31 29 26 23 19 21 27 31 34 34 35 31 25 21 19 18 20 21 20 16 14 14 13 12 15 17 18 16 10 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 5 7 11 13 13 11 10 9
7 7 7 6 4 3 2 1 0 1 1 1 1 1 1 2 4 6 8 10 11 12 13 16 19 21 21 21 20 23 30 41 45 45 49 56 62 47 59 70 74 74 74 70 61 51 54 55 57 57 54 48 40 31 26 25 26 27 32 33 26 25 27 30 32 31 32 32 29 24 21 20 22 22 20 16 14 15 15 14 16 19 21 20 15 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 4 6 10 12 11 8 7
8 8 7 5 3 1 0 0 0 0 0 0 0 0 0 1 3 5 8 10 11 10 9 11 13 14 14 11 12 19 30 37 37 38 40 44 49 60 66 63 56 49 47 39 40 50 56 50 40 32 29 31 26 22 20 21 25 32 35 36 32 27 25 25 26 23 26 28 27 24 21 21 22 21 18 15 14 14 13 12 13 19 24 27 24 17 9 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 8 10 9 9 9
9 7 5 2 1 0 0 0 0 0 0 0 0 0 0 0 2 5 6 7 7 7 8 8 10 11 10 9 9 18 29 33 35 36 37 44 59 80 82 73 60 48 52 46 42 43 44 37 28 22 22 26 24 22 22 23 26 29 34 38 35 25 20 19 20 20 23 26 28 29 26 24 20 16 14 14 15 16 16 13 12 13 20 27 31 28 19 9 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 1 2 5 7 9 10 11 13
8 5 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 5 5 3 4 4 4 5 5 5 4 9 17 27 35 45 52 54 54 74 83 80 69 63 81 68 50 41 45 39 31 27 28 29 27 25 25 27 29 29 31 32 29 18 14 14 16 19 27 35 41 42 36 27 20 17 18 15 17 19 19 16 9 6 11 22 30 33 30 22 11 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 1 3 5 8 11 11 12
7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 2 1 0 0 1 1 1 1 1 2 8 16 25 32 50 58 58 60 69 72 71 71 84 90 75 58 50 50 39 33 31 32 33 35 35 34 32 32 30 27 23 19 15 16 18 21 25 32 38 38 33 30 28 27 26 25 19 19 21 23 24 18 17 18 18 26 36 39 36 28 12 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 9 9 9
4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 3 9 17 26 36 51 63 70 71 65 61 66 78 92 68 44 29 29 29 29 28 27 26 29 33 35 35 34 31 26 22 21 24 28 33 36 36 35 35 31 26 23 27 30 32 31 23 18 17 19 23 27 24 24 23 21 27 37 40 38 39 26 13 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 1 1 3 7 9 10
2 1 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 2 5 11 20 35 54 60 63 63 57 49 54 67 81 77 47 21 7 10 18 25 24 18 13 15 17 17 18 20 19 17 19 27 44 56 60 54 43 35 28 23 23 24 24 24 25 27 25 21 17 14 16 26 31 32 30 28 33 36 34 31 39 36 23 9 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 2 3 5 6 8
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