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 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 9 9 10 10 10 9 9 8 8 7 7 7 7 7 8 9 10 11 11 11 10 10 9 8 7 7 8 8 9 10 11 12 11 11 10 10 10 9 9 9 8 8 7 7 7 7 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 nan
nan 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 7 8 9 9 9 9 9 8 8 7 6 6 5 5 5 6 7 8 9 10 11 11 10 10 9 8 6 5 5 6 8 9 11 12 12 12 11 11 10 10 9 9 8 8 8 7 7 7 8 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 nan
nan 9 9 9 9 8 8 8 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 6 6 6 5 5 4 5 5 6 8 9 11 11 12 11 11 10 9 8 7 7 7 8 9 11 12 12 12 12 11 11 10 9 9 8 8 8 8 8 7 7 7 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 nan
nan 9 9 9 9 9 9 9 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 6 7 8 9 9 10 11 11 11 11 11 11 10 10 9 10 10 10 11 11 11 11 11 11 11 10 10 9 8 8 7 7 8 8 8 8 8 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 nan
nan 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 8 8 8 8 7 7 7 7 7 8 8 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 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 nan
nan 9 9 9 9 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 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 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 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 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 8 8 8 9 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 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 9 9 9 10 10 10 9 9 10 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 7 8 8 9 9 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 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 8 8 8 8 8 7 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 7 7 8 8 8 8 9 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 nan
nan 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 8 8 8 7 7 8 8 8 9 8 8 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 8 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 nan
nan 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 9 9 9 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 9 9 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 6 6 5 5 6 6 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 nan
nan 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 12 12 11 10 10 9 9 9 9 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 7 7 7 7 8 8 8 8 8 7 6 6 5 5 6 6 7 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 nan
nan 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 12 12 11 11 10 10 9 9 9 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 8 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 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 10 10 9 9 9 8 8 8 7 8 8 9 9 9 9 9 9 9 9 9 9 8 7 7 6 6 6 6 6 6 7 7 7 8 8 9 9 9 9 9 9 9 9 8 8 7 8 8 9 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 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 10 9 9 8 8 7 7 7 7 8 8 8 9 9 9 9 9 9 9 8 7 6 5 5 5 5 5 5 6 7 8 9 10 10 10 10 10 10 10 10 9 9 8 7 7 8 9 10 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 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 10 10 10 10 10 9 8 8 7 7 6 6 7 7 8 8 8 8 8 9 9 9 8 7 6 6 5 5 6 6 6 6 7 8 9 10 10 10 10 10 10 10 10 9 9 8 7 7 8 9 10 10 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 nan
nan 9 9 9 9 9 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 8 7 7 6 6 6 6 7 7 7 7 8 8 8 9 8 8 7 7 6 6 7 8 8 8 8 8 9 10 10 10 10 10 10 10 10 10 9 9 8 8 8 9 10 10 10 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 nan
nan 9 9 9 9 9 8 8 9 9 9 10 10 10 10 10 10 9 9 9 9 8 8 8 7 7 6 6 5 6 6 7 7 7 7 8 8 9 9 9 8 8 7 7 7 7 8 9 9 9 9 9 10 10 10 10 10 9 9 9 9 10 9 9 9 9 10 10 10 9 9 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 nan
nan 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 8 8 8 8 7 7 6 6 6 6 6 6 7 7 8 8 8 9 9 9 9 8 8 7 6 6 7 8 9 10 11 11 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 9 9 8 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 nan
nan 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 6 7 7 7 8 8 8 9 9 9 8 8 7 6 6 7 8 10 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 10 10 11 10 10 9 9 8 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 nan
nan 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6 7 7 7 8 8 8 8 8 8 7 7 7 8 9 10 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 8 9 9 10 11 11 10 10 10 9 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 nan
nan 8 8 8 8 7 8 8 8 8 8 8 8 8 8 7 7 8 8 8 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 9 9 10 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 10 9 9 9 9 9 9 10 11 11 11 11 11 11 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 nan
nan 8 8 8 8 8 8 8 7 7 8 8 8 8 8 7 7 8 7 8 8 8 8 8 8 7 7 7 7 8 8 8 7 7 7 7 8 9 9 10 11 12 12 12 11 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 11 11 12 12 12 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 nan
nan 8 8 9 9 9 9 9 9 8 8 9 9 9 9 9 8 8 8 9 9 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 9 10 10 11 11 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 11 11 11 10 11 11 12 12 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 nan
nan 9 9 9 9 10 11 11 11 11 10 10 10 10 9 9 9 9 10 10 10 11 10 10 10 10 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 11 11 11 12 12 12 11 11 10 11 11 12 12 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 nan
nan 10 10 10 11 12 13 13 12 11 10 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 10 10 11 12 13 13 14 15 15 14 13 12 12 11 11 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 11 11 12 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 nan
nan 11 11 11 12 13 13 12 11 10 9 8 8 8 9 9 9 10 10 9 9 9 9 9 9 10 11 12 13 14 14 15 16 16 16 15 14 12 11 11 11 10 10 10 10 10 10 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 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 nan
nan 12 12 12 12 12 12 11 10 9 8 8 8 9 9 10 9 9 8 8 8 9 9 9 10 11 12 13 14 14 15 15 15 15 15 14 12 12 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 11 11 11 12 11 11 10 10 10 10 10 11 12 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 nan
nan 11 12 12 12 11 11 10 9 8 8 7 8 9 9 10 10 9 9 8 9 9 10 11 11 12 14 15 15 15 15 15 15 14 13 12 12 12 12 12 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 10 11 12 12 12 11 10 11 11 11 11 12 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 nan
nan 9 10 12 12 11 10 9 8 8 8 8 8 9 10 10 11 10 9 9 10 10 11 11 12 13 15 15 15 15 15 14 14 14 13 13 12 12 12 12 12 11 11 11 11 11 10 10 9 9 9 9 9 8 8 8 8 9 9 10 11 12 12 12 12 12 12 12 13 13 13 13 13 13 14 14 14 13 12 11 10 10 11 12 12 12 12 11 10 9 9 8 8 6 5 5 6 7 8 9 10 10 11 12 13 14 15 13 10 9 8 8 7 7 7 8 9 10 10 10 11 12 13 12 11 11 11 13 14 16 17 18 16 14 nan
nan 9 10 12 12 11 10 9 8 8 8 9 9 10 11 11 11 10 10 10 10 11 11 12 13 14 15 15 15 14 14 14 13 13 13 13 13 13 12 12 12 12 11 11 11 11 10 9 9 9 9 9 9 8 8 9 9 9 10 10 11 11 12 12 12 12 13 13 13 13 13 13 13 13 13 13 12 11 11 10 10 11 11 12 12 12 12 12 11 10 9 9 8 7 6 5 5 6 8 9 9 10 10 10 10 12 13 13 11 10 8 7 6 6 7 8 10 10 10 10 10 11 11 11 10 10 11 12 13 15 17 18 18 17 nan
nan 11 12 12 12 11 10 9 9 9 9 10 11 11 12 11 11 10 10 9 10 11 12 13 14 14 14 14 14 13 13 13 13 13 13 13 13 12 12 12 12 12 11 11 10 10 9 9 8 8 8 8 9 9 9 10 10 10 10 10 10 10 11 11 12 13 13 13 12 11 11 12 13 13 13 12 11 10 10 10 11 12 13 13 12 12 12 12 11 11 10 9 8 7 6 5 5 6 7 8 9 9 9 9 9 11 12 13 12 10 7 6 6 7 9 10 11 11 10 10 10 10 10 10 10 10 12 12 13 15 16 16 17 17 nan
nan 12 12 13 12 11 11 10 9 10 10 11 11 12 12 11 10 10 9 10 10 12 13 14 14 14 13 13 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 10 9 9 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 11 12 12 11 11 10 10 11 11 12 13 12 11 11 11 11 12 13 13 14 14 13 12 12 12 11 10 9 8 8 7 6 5 5 7 8 8 9 9 10 10 12 13 13 12 9 7 7 8 9 10 10 10 11 10 10 10 10 9 10 10 11 12 13 13 13 12 13 13 14 nan
nan 12 13 13 12 11 10 10 10 10 10 11 11 11 11 10 9 9 9 10 11 13 14 14 14 13 13 12 12 12 12 12 12 11 11 11 12 12 12 11 11 11 10 9 9 9 8 8 8 8 8 9 9 10 10 10 10 10 10 10 9 9 9 9 9 10 10 9 9 9 10 10 11 11 11 11 12 12 12 12 12 13 14 14 15 14 13 12 11 11 10 9 9 8 8 7 6 6 6 7 8 9 10 11 12 13 14 12 10 8 7 8 8 9 9 9 10 10 10 10 10 9 9 10 10 11 12 11 11 10 10 10 10 11 nan
nan 12 13 13 12 11 10 9 10 10 10 10 10 10 9 8 8 9 9 10 12 13 14 14 14 13 12 12 12 12 12 12 11 11 11 11 12 11 11 11 11 11 10 9 9 9 9 8 8 9 9 9 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 9 9 10 10 10 10 11 11 12 12 12 12 12 13 14 15 15 14 12 10 9 9 9 9 9 9 7 7 7 7 8 8 8 9 10 12 13 13 10 8 7 8 9 9 8 8 9 9 9 10 10 9 9 9 9 10 10 10 10 10 9 9 9 9 9 nan
nan 13 13 13 12 11 10 9 9 9 10 9 9 8 7 7 7 8 9 10 12 13 14 14 14 13 13 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 9 8 8 9 10 10 10 10 9 9 8 8 9 9 9 9 9 9 9 8 7 7 7 8 8 9 9 9 9 10 10 11 11 12 12 11 11 11 12 13 13 13 11 9 9 9 9 9 9 9 8 8 8 9 9 8 8 8 9 10 12 11 8 5 5 7 9 9 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 9 8 8 8 8 7 nan
nan 12 13 13 12 10 9 9 9 9 9 9 8 7 6 6 7 8 10 11 12 13 14 14 14 14 13 13 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 9 8 8 9 10 10 10 9 8 7 7 7 7 7 8 8 9 10 10 10 10 9 9 8 8 8 8 8 8 9 9 10 11 11 11 11 10 10 10 11 12 12 11 10 9 9 9 9 9 9 9 9 10 9 9 8 7 7 7 9 11 10 7 5 5 7 8 8 8 8 9 8 8 8 8 8 8 8 8 9 10 10 10 9 8 7 8 8 7 nan
nan 12 12 12 11 10 10 10 9 10 9 9 8 7 7 7 8 10 12 13 13 13 14 14 14 13 12 12 11 11 11 11 11 10 10 10 10 9 9 10 10 10 10 10 9 8 8 8 8 9 10 9 9 8 7 6 6 6 7 7 8 9 10 11 12 12 12 11 9 8 7 7 7 7 8 8 9 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 9 8 8 9 9 9 8 7 6 6 6 8 10 9 8 7 7 7 6 6 6 8 8 8 8 8 9 9 8 8 8 9 9 10 9 8 8 9 9 9 6 nan
nan 11 11 11 11 11 10 10 10 10 9 9 9 9 9 10 12 13 14 14 14 14 13 13 13 12 12 11 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 9 9 8 8 8 9 9 9 8 8 7 7 6 6 6 7 8 9 9 10 11 11 12 12 12 11 9 8 7 7 8 8 8 8 9 9 9 9 9 9 10 10 11 11 11 11 10 10 11 10 10 9 8 8 8 8 7 6 5 5 6 7 9 9 10 10 10 8 5 4 5 7 8 8 9 9 10 10 9 8 9 9 9 9 8 8 9 9 9 7 4 nan
nan 10 10 9 10 10 11 11 10 10 9 9 10 10 11 12 13 14 15 15 14 13 13 12 12 12 11 11 10 10 10 10 10 10 10 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 8 9 9 9 9 9 9 10 11 11 12 11 10 9 9 9 9 9 8 7 7 8 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 10 9 8 8 7 5 4 4 4 6 7 9 9 10 11 11 9 7 6 8 9 10 10 9 9 10 9 9 8 9 9 9 9 8 7 7 6 4 1 -1 nan
nan 10 9 8 9 10 11 11 10 9 9 9 10 11 12 13 13 13 13 13 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 9 9 9 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 7 7 8 9 10 10 10 9 9 9 10 10 11 11 11 10 10 10 10 10 10 8 8 7 8 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 8 6 5 4 4 5 7 9 9 10 11 11 10 9 9 10 12 13 13 12 10 9 8 8 8 8 8 8 8 7 6 5 3 2 0 -1 -1 nan
nan 10 9 9 9 10 10 11 10 10 9 10 11 12 13 13 12 12 12 11 11 10 11 12 12 12 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 11 10 10 9 9 9 8 8 7 8 9 10 10 10 10 9 8 8 9 10 11 11 10 10 10 10 10 10 10 9 8 8 8 8 9 9 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 8 7 6 6 7 8 9 10 11 11 11 10 9 9 10 11 13 14 14 13 11 9 9 9 8 7 7 6 5 3 2 1 1 1 1 3 6 nan
nan 11 10 10 9 9 9 9 9 9 9 10 11 12 12 12 12 11 11 11 10 10 10 11 11 11 10 9 9 9 9 8 8 9 9 9 9 9 8 8 8 8 9 10 10 11 11 11 11 11 10 9 8 8 7 8 9 9 10 10 9 8 8 8 8 9 10 10 10 11 11 11 10 10 10 10 9 9 8 8 8 9 9 9 10 10 11 11 11 11 11 10 10 10 10 9 9 8 8 8 10 11 12 12 13 13 13 12 10 9 9 10 12 13 13 13 13 12 11 10 10 8 6 3 2 0 -0 -0 1 3 5 8 11 13 nan
nan 12 12 11 9 8 7 7 7 7 7 7 8 9 10 10 11 11 11 10 9 9 9 10 10 10 9 8 7 7 7 7 7 7 8 8 8 7 7 7 7 8 8 9 10 10 11 11 12 12 11 10 9 8 8 8 9 9 9 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 10 10 10 9 8 8 9 11 12 13 14 15 15 15 13 11 10 10 11 12 13 13 13 13 13 12 11 10 9 7 4 2 1 1 2 4 7 11 14 17 18 18 nan
nan 12 12 11 9 7 6 6 5 5 4 4 6 7 9 10 10 10 10 10 9 8 8 8 9 9 8 7 6 6 6 6 6 6 7 7 7 7 7 7 7 8 8 9 9 9 10 11 12 12 12 11 9 9 9 9 9 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 11 12 12 13 13 14 13 13 12 12 14 15 16 15 14 13 14 14 14 14 13 10 7 6 6 7 9 12 14 17 20 22 22 21 20 nan
nan 11 11 11 9 8 7 6 5 4 3 4 6 8 10 10 10 10 10 9 8 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 8 9 9 9 9 9 8 8 9 9 10 11 12 12 12 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 12 12 14 16 18 18 16 15 15 16 18 19 20 18 14 12 12 14 16 18 20 21 22 23 22 21 18 16 nan
nan 10 10 10 10 9 9 8 7 6 6 7 9 11 11 11 11 11 11 10 9 7 6 6 7 7 8 8 8 8 8 7 6 7 7 8 9 10 10 10 9 9 8 8 8 9 10 11 11 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 9 9 8 9 9 10 10 11 13 14 16 16 16 16 15 16 17 19 19 19 18 16 15 16 17 18 19 20 20 19 18 16 13 11 9 nan
nan 9 10 10 10 10 10 10 10 10 10 11 12 13 13 12 12 11 12 12 11 9 8 7 7 8 8 9 9 9 9 9 8 8 9 9 10 11 10 10 9 8 8 8 8 9 9 10 11 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 9 9 10 11 12 13 13 12 13 13 14 15 15 15 14 13 13 13 14 14 15 15 15 15 14 13 12 11 10 11 nan
nan 9 10 10 10 10 11 11 12 13 13 14 14 14 13 12 11 11 11 12 12 11 10 9 8 8 8 9 9 10 10 10 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 11 12 12 12 11 11 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 7 8 8 8 8 8 8 8 9 10 11 11 11 10 11 11 11 11 11 11 10 10 10 10 10 11 12 13 13 12 12 12 14 15 16 16 nan
nan 9 10 10 11 11 12 13 14 15 15 15 14 14 12 10 10 9 10 10 11 10 9 9 8 8 8 9 10 10 10 9 9 9 10 10 10 10 11 11 10 10 10 10 10 9 9 9 10 11 12 12 12 11 11 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 10 10 10 11 11 11 11 11 10 10 8 6 5 6 7 8 8 7 7 7 9 10 10 11 11 11 10 10 10 10 10 10 9 9 8 8 9 10 12 13 13 13 13 14 15 15 16 16 nan
nan 9 10 10 11 12 13 14 15 16 16 15 14 12 11 10 9 9 9 9 8 8 7 7 7 8 8 10 10 10 9 9 9 9 10 10 10 10 10 11 11 11 11 11 10 9 9 9 10 11 12 12 11 11 11 11 11 11 10 10 9 9 9 9 9 9 10 10 11 11 10 10 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 11 11 11 11 11 10 9 7 5 4 5 6 7 6 4 4 5 7 8 10 11 11 11 10 10 10 10 10 9 8 7 7 7 9 12 13 14 14 13 13 12 12 12 12 12 nan
nan 10 10 11 12 13 14 14 14 15 14 14 13 12 11 10 10 9 9 8 7 7 6 6 7 8 9 10 10 10 9 8 8 10 10 11 11 10 10 10 11 11 11 10 10 9 9 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 10 10 10 9 9 9 9 9 9 10 10 10 10 11 11 12 12 11 11 10 10 10 10 10 10 10 9 8 6 4 4 4 5 6 5 3 2 2 3 5 6 7 8 8 7 7 9 9 9 8 6 4 5 7 11 13 14 14 13 12 11 11 10 10 10 10 nan
nan 10 11 12 12 13 13 13 13 13 13 12 12 11 11 11 10 9 8 7 7 7 7 7 7 8 9 9 9 9 8 8 8 9 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 8 8 9 9 10 11 11 10 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 8 8 9 10 10 11 11 11 12 12 12 11 10 9 8 7 7 7 7 7 6 5 4 3 3 3 5 6 6 5 4 3 2 2 2 3 2 2 3 4 6 7 7 5 3 3 6 10 14 14 13 12 11 11 10 9 9 10 10 10 nan
nan 11 12 12 12 12 12 12 11 11 12 11 11 11 11 11 11 9 8 8 8 8 8 8 8 8 9 9 9 8 8 7 7 8 9 10 11 11 10 10 10 11 11 11 11 11 11 10 10 9 8 7 7 8 10 11 11 10 9 8 7 7 7 7 8 8 9 9 9 8 7 6 5 5 5 6 8 9 10 10 11 11 11 12 11 11 11 9 6 4 3 2 3 3 3 2 2 2 3 4 6 8 9 9 9 8 6 5 4 3 2 2 3 5 6 6 4 2 2 6 11 16 17 14 12 10 9 9 9 9 9 10 10 10 nan
nan 12 12 12 12 11 10 10 10 11 11 11 12 12 12 12 11 11 10 9 9 9 9 9 9 9 9 9 9 9 8 7 7 8 8 9 10 10 10 10 10 10 11 11 12 12 12 11 11 10 9 8 8 8 9 11 11 11 10 10 9 7 6 6 6 6 8 10 11 10 9 8 6 5 5 6 7 9 9 9 9 10 10 11 11 11 11 10 7 4 1 0 1 1 1 0 1 3 4 6 7 9 10 10 11 12 11 11 9 8 8 8 9 10 10 8 6 5 8 12 17 20 18 14 11 9 9 9 10 10 10 10 10 10 nan
nan 12 12 11 10 10 9 9 10 11 12 12 13 13 13 13 13 12 12 11 11 11 10 10 10 10 10 10 9 9 9 9 8 9 9 9 9 10 10 10 10 10 10 11 11 12 12 12 12 11 10 9 9 8 8 9 10 11 12 13 13 12 10 8 6 5 7 9 11 12 11 10 10 9 9 9 9 9 8 8 8 8 8 8 9 10 11 11 10 8 5 4 3 2 2 3 4 5 7 8 9 9 10 11 12 12 13 13 13 13 13 14 14 14 14 12 11 11 13 16 19 19 15 12 10 9 10 10 10 10 10 10 10 10 nan
nan 11 11 10 10 9 9 9 10 11 12 13 13 14 14 14 13 13 12 12 12 11 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 9 9 10 10 10 11 12 12 12 11 11 10 10 9 8 8 8 9 11 13 15 16 15 13 11 9 9 10 11 11 12 12 12 12 11 11 11 10 9 8 8 7 5 4 4 6 8 10 11 12 11 11 9 9 8 8 8 8 9 9 9 10 11 11 12 12 12 13 13 13 14 14 14 14 14 14 13 13 14 16 16 14 11 10 9 10 11 11 11 11 10 10 10 10 nan
nan 11 10 10 9 9 8 9 10 11 12 13 14 14 14 13 13 13 12 12 12 11 10 9 10 10 11 11 10 10 10 10 11 11 11 11 10 10 10 10 9 9 9 9 9 10 10 11 11 11 11 11 11 10 9 8 8 7 9 11 13 15 17 17 16 14 13 12 12 11 11 11 12 12 11 11 10 9 9 9 8 6 4 1 1 1 3 5 8 11 13 14 15 14 13 11 10 9 9 10 10 11 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 14 14 15 13 11 9 9 9 10 11 11 11 10 10 10 10 9 nan
nan 10 10 9 9 8 8 9 10 11 13 14 15 14 13 12 12 12 12 12 12 11 10 10 10 11 12 11 10 10 10 10 10 11 11 11 11 11 10 10 10 9 8 7 8 8 9 9 9 9 10 10 10 11 10 10 9 8 8 9 10 12 15 17 18 17 16 15 14 12 12 11 11 10 10 10 9 8 8 8 8 7 5 3 1 1 0 1 3 6 9 11 12 13 12 10 9 9 10 10 11 12 12 12 12 12 12 11 11 11 11 11 12 13 13 13 13 14 16 16 14 11 9 9 10 11 11 11 11 10 10 10 9 9 nan
nan 10 10 9 9 8 8 9 10 11 13 15 14 13 12 11 11 11 12 12 12 11 11 10 11 11 11 10 9 9 9 10 11 11 12 12 12 11 11 11 10 9 8 7 7 7 8 8 7 8 8 9 10 10 11 11 11 11 10 9 9 9 10 12 14 16 17 18 17 15 13 12 11 10 9 9 8 8 8 8 8 7 6 5 4 4 3 1 0 1 2 4 6 7 7 8 9 9 10 11 12 12 12 12 12 12 11 11 11 10 11 13 14 15 15 14 15 16 17 17 14 11 10 10 11 11 11 11 10 10 10 9 9 9 nan
nan 10 10 9 9 8 9 9 10 11 13 14 13 12 11 10 10 11 11 11 11 11 10 10 10 10 9 9 9 9 9 10 11 12 12 12 12 12 11 11 11 11 10 9 8 8 8 7 7 7 8 9 10 11 12 12 12 12 11 11 10 9 9 9 10 13 15 17 18 17 17 16 15 13 11 10 9 8 8 8 8 7 7 7 7 7 6 4 2 1 0 1 3 4 6 8 9 10 11 11 12 12 12 12 11 11 11 10 10 11 13 17 18 18 16 15 15 17 17 15 13 11 11 11 12 11 11 11 10 10 10 9 9 10 nan
nan 10 10 9 9 9 9 10 11 11 13 13 12 12 11 10 10 11 11 11 10 10 10 9 8 8 9 9 10 10 11 11 12 12 12 12 12 12 11 11 11 11 11 10 9 9 8 8 8 8 9 10 10 11 12 12 12 12 12 11 11 10 10 10 10 10 12 14 15 17 19 20 20 18 16 13 12 10 9 9 9 9 9 9 9 9 8 8 7 6 4 5 6 7 9 10 11 11 11 11 11 11 11 11 11 11 10 9 10 12 16 19 19 18 15 14 15 15 14 12 11 11 11 12 12 11 10 10 10 10 10 10 10 10 nan
nan 10 10 10 10 9 10 10 11 12 13 13 12 12 11 11 11 11 11 10 10 9 9 8 7 7 8 9 10 11 11 12 12 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 11 10 10 11 13 15 18 21 23 23 22 20 17 15 13 12 11 12 13 13 13 12 12 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 9 9 11 14 18 19 19 16 14 14 14 13 11 10 10 11 12 12 11 10 10 10 10 10 10 10 10 10 nan
nan 10 10 10 10 10 10 10 11 12 13 13 13 12 11 11 10 10 10 10 9 9 9 8 7 7 7 9 10 11 11 11 10 9 9 10 11 11 12 12 11 11 11 10 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 12 13 13 13 12 12 10 10 10 11 12 14 16 19 22 23 23 22 20 17 15 14 14 15 16 17 16 15 14 13 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 9 9 11 13 17 20 20 18 16 15 14 14 13 10 9 10 11 12 11 11 10 10 10 10 10 10 10 10 10 nan
nan 10 11 10 10 10 10 10 11 12 13 14 13 12 11 10 10 9 9 9 9 9 8 8 7 7 7 9 11 12 11 9 7 7 8 10 11 12 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 12 12 11 11 11 11 10 10 11 12 14 15 17 18 20 21 19 17 15 13 12 14 15 15 15 14 12 12 11 11 12 12 12 12 11 11 11 11 10 10 10 10 10 10 11 14 17 20 21 20 18 16 14 14 13 12 10 10 11 11 12 11 11 10 10 10 10 10 10 10 10 10 nan
nan 10 10 10 10 10 10 10 11 13 14 14 14 13 11 10 9 9 8 8 8 8 8 8 8 8 8 10 12 12 11 9 6 7 8 10 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 11 12 13 15 17 17 16 14 12 10 9 10 10 10 10 10 10 11 12 12 12 12 12 12 11 11 10 10 10 9 9 10 11 13 17 19 20 19 17 15 13 12 12 12 11 10 11 11 12 12 11 11 10 10 10 10 10 10 10 10 10 nan
nan 10 10 10 11 11 11 11 12 13 14 14 14 13 12 10 9 9 8 8 8 8 8 8 8 8 8 9 10 11 10 9 7 8 9 10 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 11 11 11 11 10 10 10 10 10 11 12 13 13 14 14 12 11 10 10 9 9 9 10 11 12 13 13 13 13 12 12 11 10 10 9 9 9 9 10 13 16 18 19 18 16 14 12 12 12 11 11 11 11 10 11 11 11 11 11 10 10 10 10 10 10 10 10 11 nan
nan 11 11 11 11 11 11 12 13 13 14 14 13 12 12 11 10 9 8 8 8 9 9 9 9 8 8 8 8 9 9 9 8 9 9 10 10 11 11 12 12 12 12 12 12 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 9 10 10 10 10 10 11 11 11 11 11 11 11 12 12 13 13 13 13 14 14 13 11 11 11 12 14 14 14 13 13 12 11 10 9 9 9 9 9 10 12 14 16 17 17 15 13 12 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 nan
nan 13 13 12 11 10 11 11 12 13 13 14 13 12 11 11 10 9 9 9 9 9 10 10 9 9 8 8 8 8 8 8 9 9 9 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 13 13 13 13 15 16 16 14 12 11 12 14 14 14 13 12 11 11 10 9 9 9 9 10 10 12 14 16 17 16 14 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 nan
nan 15 14 12 10 9 9 11 12 13 14 14 13 12 12 11 10 9 9 9 10 10 11 11 10 10 10 10 11 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 13 13 14 14 13 11 11 11 13 15 15 14 12 11 10 10 9 10 10 11 11 12 13 15 17 18 17 15 13 12 12 12 12 12 12 11 11 10 10 10 10 10 10 10 10 11 11 11 10 10 11 11 11 11 nan
nan 14 12 10 8 8 8 10 12 14 15 15 14 13 12 11 10 10 10 10 10 10 11 11 10 10 11 12 12 12 13 12 12 11 10 10 10 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 12 13 13 13 13 13 13 12 12 11 11 11 11 11 11 11 12 11 10 10 12 14 16 15 13 11 10 10 11 11 12 13 13 14 14 15 17 18 17 16 14 13 12 12 12 12 12 11 11 10 10 9 9 10 10 10 10 10 11 11 10 10 10 10 10 11 11 nan
nan 11 9 8 7 7 7 9 12 15 16 16 15 14 13 12 11 11 10 10 10 10 11 10 10 10 10 11 12 13 13 14 13 11 10 10 11 11 11 11 11 12 12 13 12 12 11 10 10 11 11 11 11 11 12 12 12 12 12 12 13 13 12 12 12 12 12 13 14 14 14 13 13 12 12 11 11 11 10 10 10 9 10 10 10 10 11 12 14 14 14 13 12 11 11 12 13 14 15 15 14 15 15 16 16 15 13 13 12 12 12 12 11 11 11 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 nan
nan 9 8 7 7 7 8 10 12 15 17 18 18 16 15 14 13 12 11 11 11 11 11 11 11 11 11 12 12 13 13 13 11 10 9 10 11 11 11 11 12 12 13 13 12 11 10 10 11 11 11 11 12 12 12 12 12 11 12 12 12 12 12 12 12 12 13 14 14 13 13 12 12 11 11 10 10 10 10 10 9 10 10 10 10 10 11 12 13 13 13 13 12 12 12 12 12 13 13 13 13 13 13 13 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 11 11 11 11 11 nan
nan 9 9 9 9 9 10 11 13 16 18 19 19 17 16 14 13 12 12 11 11 11 11 11 12 13 14 14 15 16 15 14 11 11 11 11 12 12 12 12 12 12 12 12 11 10 10 11 11 12 12 12 12 12 12 12 11 11 11 12 12 12 12 13 13 13 13 14 13 13 12 11 11 10 10 10 9 9 9 9 9 10 10 10 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 nan
nan 8 9 9 10 10 11 12 14 16 18 19 18 16 14 13 12 11 11 11 10 10 10 10 11 13 14 16 19 20 20 17 14 12 12 11 11 11 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 13 13 13 13 13 13 12 11 11 10 10 10 10 9 9 9 9 9 10 10 11 11 11 11 12 12 12 11 11 11 11 10 10 10 10 10 11 11 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 nan
nan 8 8 9 10 10 11 13 15 16 17 17 15 13 12 10 10 10 10 10 10 10 10 10 10 11 13 16 19 21 21 18 14 11 9 9 9 10 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 13 13 13 12 12 11 11 10 10 10 10 10 9 9 10 10 10 10 11 11 11 12 12 12 12 11 11 11 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 nan
nan 8 8 9 9 10 12 13 15 15 16 15 13 11 9 8 8 8 8 9 9 10 11 11 11 11 12 14 18 20 19 16 12 9 8 8 9 10 10 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 10 10 9 9 9 9 9 9 9 9 10 10 11 11 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 nan
nan 7 8 8 9 11 12 13 14 14 14 13 11 10 9 8 7 8 8 9 10 11 11 12 12 12 12 13 15 16 15 14 12 12 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 12 12 12 11 11 11 11 11 11 11 12 11 11 11 12 12 12 12 11 11 10 10 9 9 10 10 9 9 9 9 10 11 11 12 11 11 11 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 nan
nan 7 7 8 10 11 13 13 14 14 13 12 11 10 9 8 8 9 9 10 11 11 12 12 12 12 12 12 13 14 14 14 14 14 13 12 11 10 11 11 12 12 12 12 11 11 11 11 12 12 11 11 11 11 11 12 11 11 11 11 11 11 11 12 11 11 11 11 11 10 10 10 10 10 10 10 9 9 10 10 11 11 11 11 11 11 12 13 12 11 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 nan
nan 7 8 9 10 12 13 14 14 14 13 13 12 11 10 10 10 10 11 11 12 12 12 13 13 13 12 12 12 13 13 13 13 12 10 9 9 10 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 10 10 10 10 11 11 10 10 9 9 9 11 13 13 13 11 10 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 10 10 10 11 11 11 10 11 11 11 11 11 11 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
23 23 22 22 21 20 20 20 20 20 20 20 21 22 23 24 24 24 23 22 23 22 20 17 14 12 12 11 9 7 6 5 4 3 1 0 0 0 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 10
20 22 23 24 23 24 24 23 23 24 23 25 26 27 28 29 30 31 30 30 30 29 26 23 20 19 17 13 9 7 5 5 4 4 3 2 2 2 3 4 4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 16 27
14 17 20 21 23 23 24 24 24 24 25 27 28 28 30 32 32 34 35 35 33 30 26 23 20 18 16 12 8 6 6 6 8 9 9 7 7 8 9 7 5 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 23 35
7 9 11 13 15 16 17 18 19 19 22 24 25 27 30 34 36 37 37 34 31 27 23 21 19 18 16 12 11 10 11 11 9 11 12 12 11 10 10 7 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 24 38
4 4 4 4 5 6 7 8 9 11 16 19 21 23 25 29 32 33 33 31 27 24 21 19 19 18 16 13 12 12 11 10 8 9 10 10 8 6 6 5 4 3 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 0 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 5 13 27 41
2 2 2 2 1 2 2 3 3 5 7 10 11 11 12 14 18 21 22 23 23 21 18 16 15 14 13 12 11 10 9 8 7 8 8 7 5 4 5 6 6 6 6 5 5 3 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 0 0 0 0 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 8 18 31 42
1 1 1 1 1 1 1 1 1 1 2 2 2 2 3 4 7 10 12 14 13 13 12 10 8 8 8 8 7 7 6 5 5 6 7 8 10 11 12 13 13 13 13 10 9 7 6 5 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 16 31 44 53
0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 3 5 5 6 6 5 3 2 2 4 3 3 3 3 3 4 5 9 14 18 20 21 23 24 23 20 18 16 14 11 8 4 2 2 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 0 0 0 0 0 0 0 0 0 1 4 8 14 25 44 57 63
0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 2 3 4 5 6 6 4 2 2 2 3 2 1 1 1 2 4 6 10 15 21 25 27 29 31 33 33 33 24 16 10 7 4 2 1 1 1 2 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 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 15 23 38 49 50
0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 6 7 8 8 7 6 6 6 7 7 7 6 6 6 8 11 11 16 22 27 31 33 33 34 34 33 30 19 10 4 3 2 0 0 1 2 3 2 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 15 18 34 49 57
0 0 1 0 0 0 0 0 0 0 0 1 2 3 5 6 7 8 8 7 6 6 7 8 9 10 9 8 9 10 13 15 16 19 23 27 30 31 29 26 23 20 14 8 4 2 1 1 0 0 0 1 3 3 2 2 3 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 12 14 24 38 59
0 0 0 0 0 1 0 0 0 0 0 0 1 1 3 4 5 6 7 7 7 6 5 5 6 7 7 8 9 10 12 15 14 14 15 16 16 16 14 12 9 6 3 1 0 0 0 0 0 0 0 0 0 2 2 3 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 11 15 21 27
0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 4 5 5 5 4 3 4 4 5 6 7 7 8 10 11 10 9 8 6 5 4 4 4 3 2 1 0 0 0 0 0 0 0 0 0 1 1 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 0 0 0 0 0 0 0 0 0 0 1 4 8 13 18 26
0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 1 2 3 3 3 3 3 4 4 4 4 5 5 6 6 6 5 5 3 2 2 1 1 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 10 18 29
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 2 2 3 3 3 3 3 3 3 2 1 1 1 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 13 22
1 1 1 1 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 15
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 1 1 0 0 1 1 3 4 3 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8
1 1 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 1 3 3 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 0 0 0 0 0 0 0 0 0 0 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
2 2 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 2 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 2 1 0 0 0 0 1 1 0 0 0 0 0 1 2 4 4 4 8 13 14 10 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 2 2 3 2 1 0 1 1 3 6 10 13 15 15 17 18 17 14 11 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 0 0 0 0 1 7 10 10 9 7 7 7 10 15 14 16 20 24 26 24 24 25 24 20 17 13 9 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2 2 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 5 3 1 0 0 1 4 7 12 16 23 24 18 12 11 10 8 12 34 40 42 44 44 39 36 34 29 22 14 9 6 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 1 2 3 4 5 6 7 7 10 11 9 7 5 2 1 5 10 19 28 35 38 33 22 14 20 27 33 43 62 66 62 57 53 48 40 28 16 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 1 0 0 1 3 5 7 8 8 8 8 12 14 14 13 10 6 5 5 6 9 11 12 17 26 31 35 34 29 23 37 57 69 72 74 71 64 55 44 34 22 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 11 13 11 9 6 3 2 2 2 2 2 1 1 2 4 6 9 9 10 11 12 18 27 37 49 61 73 78 76 70 62 55 46 36 26 13 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 1 4 7 10 9 5 4 2 1 0 1 1 1 1 0 0 0 1 1 1 0 0 1 4 12 26 42 57 68 73 70 62 52 41 33 25 16 8 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 1 2 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 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 5 4 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 24 39 51 56 56 50 40 29 18 11 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 1 0 0 1 1 2 1 4 5 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
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