Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 19 17 14 11 10 10 10 10 11 11 11 12 13 13 12 11 10 8 6 5 6 7 9 10 11 10 8 7 6 6 6 7 8 8 7 5 4 4 5 7 8 8 7 7 8 10 11 10 9 10 10 9 8 8 8 8 7 7 7 7 7 8 9 9 8 7 6 6 6 6 7 7 7 8 8 8 8 7 6 6 6 6 7 8 8 9 9 10 10 11 11 10 9 8 8 9 10 10 10 9 8 8 7 7 6 6 6 7 8 9 9 9 8 7 6 5 5 7 8 9 10 10 10 11 12 13 12 11 11 12 12 13 12 10 9 9 8 7 7 7 8 9 8 6 6 7 8 8 7 8 11 12 12 11 10 9 8 8 8 8 8 8 9 9 10 11 11 11 11 11 12 12 11 10 9 9 8 7 7 7 7 8 8 7 7 nan
nan 18 18 15 12 10 9 9 9 9 10 10 11 12 11 11 12 11 9 7 5 5 6 8 10 10 10 9 8 8 8 8 8 9 9 8 7 6 6 7 8 8 8 7 7 7 8 9 9 10 10 10 9 9 9 9 9 9 8 9 8 8 8 9 9 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 8 8 9 10 10 10 10 10 10 10 9 9 9 9 9 10 10 9 9 9 8 7 7 6 6 7 9 10 11 10 10 9 7 5 5 6 8 9 9 9 9 10 10 11 12 12 12 12 12 11 9 8 8 7 6 6 7 9 9 8 5 5 6 7 7 7 6 8 10 11 11 10 8 7 6 7 7 7 7 6 6 7 9 11 11 11 11 11 12 12 11 10 9 9 8 7 7 7 8 9 8 7 7 nan
nan 18 17 16 13 10 9 8 8 8 9 10 11 10 10 11 12 12 10 8 6 5 6 7 8 9 10 10 9 9 9 9 9 9 9 9 9 8 8 9 9 8 7 6 7 8 8 8 8 9 9 9 9 9 10 11 11 11 11 11 10 9 9 9 8 7 7 8 9 9 8 8 8 8 7 6 5 5 5 5 5 6 6 8 9 10 10 10 10 9 8 8 8 9 10 10 9 9 10 10 10 9 8 8 7 6 6 7 7 9 10 11 11 11 10 9 8 7 7 7 8 9 9 8 8 9 10 11 12 11 11 11 9 7 6 6 6 7 8 9 10 10 7 5 6 7 8 8 7 7 8 9 10 10 10 9 7 6 6 6 6 5 4 3 4 7 10 11 11 11 11 11 10 10 9 9 9 8 7 7 7 8 9 9 8 7 nan
nan 18 17 16 14 12 10 9 8 8 9 10 10 11 11 12 12 11 10 9 7 7 6 7 8 9 10 10 10 10 10 9 8 8 8 9 10 10 10 10 10 8 7 6 7 9 9 9 8 9 10 10 10 10 11 13 13 13 13 12 12 11 10 9 8 7 8 10 12 11 10 9 9 8 8 7 6 5 6 6 6 6 7 8 9 9 9 9 9 8 8 8 8 8 9 9 8 8 8 9 9 8 8 7 7 7 7 7 7 8 9 11 12 11 11 10 10 9 8 7 7 9 9 8 8 8 9 10 10 10 10 10 9 7 7 7 8 8 9 10 10 9 7 7 8 9 9 8 8 8 9 9 9 10 11 10 8 6 5 4 4 4 2 1 3 5 7 9 10 10 10 10 9 9 9 9 9 8 7 7 7 8 9 9 9 9 nan
nan 18 17 17 15 13 11 9 9 9 9 10 11 11 12 12 11 11 10 9 9 8 7 7 8 9 10 11 11 10 10 8 8 8 9 9 10 10 10 10 10 9 8 8 8 9 10 10 9 10 10 11 11 11 12 13 14 14 14 13 13 12 11 10 9 9 9 11 13 13 12 10 9 9 8 8 7 7 7 7 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 9 9 8 8 8 8 10 12 12 10 10 9 9 8 7 7 8 9 8 8 8 8 9 9 9 10 10 10 9 9 10 10 9 9 8 9 8 7 7 9 9 9 8 8 9 10 9 9 10 11 10 8 5 4 4 3 2 1 1 2 3 5 7 9 9 9 9 9 9 9 9 8 8 7 7 7 8 9 10 10 10 nan
nan 18 18 17 16 14 12 10 10 9 9 10 11 11 11 11 10 11 11 10 10 9 8 8 8 9 10 10 10 9 9 8 9 10 10 10 9 9 9 9 9 10 10 9 9 9 10 10 10 10 11 12 12 12 12 13 14 14 13 13 13 13 12 12 11 10 11 12 12 12 11 10 9 8 8 8 7 6 6 7 7 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 7 8 9 9 9 9 9 9 8 8 9 11 11 10 9 9 8 8 7 7 8 8 8 8 8 9 9 9 10 11 11 11 11 11 10 10 9 8 7 7 6 6 7 8 9 8 8 8 9 9 9 10 10 10 9 7 6 6 5 4 2 2 3 3 4 4 6 7 8 8 9 9 9 9 9 8 8 8 7 7 8 9 10 10 10 nan
nan 16 17 17 17 15 13 11 10 9 9 9 9 9 9 10 11 12 13 12 11 10 9 9 9 9 10 10 9 8 8 9 10 10 10 10 9 9 8 8 8 9 10 9 9 9 9 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 10 10 10 11 11 10 9 7 7 7 7 6 6 5 5 5 5 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 9 10 10 10 10 10 9 9 9 9 10 10 10 10 9 8 7 6 6 7 8 8 8 8 8 9 10 11 11 11 11 11 11 10 9 8 7 7 6 6 7 7 8 9 8 8 8 9 9 9 9 9 9 8 7 7 7 7 6 6 6 6 5 5 6 7 7 7 8 8 9 10 10 10 9 8 7 7 7 7 8 9 10 9 nan
nan 15 15 16 16 16 14 12 10 9 8 7 8 8 9 10 13 14 14 13 12 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 8 9 9 10 11 12 12 10 9 9 8 8 7 6 6 7 7 7 7 7 7 7 8 8 8 8 8 7 6 5 5 5 5 5 5 5 4 5 5 5 6 7 7 8 8 8 8 8 7 7 7 7 8 8 8 7 7 7 8 9 10 10 10 10 10 10 10 10 10 10 11 11 11 10 9 8 7 6 6 6 7 8 8 8 8 9 10 11 10 9 10 11 11 10 9 8 7 7 7 8 9 9 9 9 9 8 9 9 9 9 9 8 8 7 7 7 8 9 10 10 9 8 7 7 8 9 8 7 7 8 9 10 11 10 8 7 6 7 7 7 8 8 9 9 nan
nan 15 15 16 15 14 12 10 9 7 6 6 6 8 10 12 14 15 15 14 12 11 10 10 9 9 8 9 9 10 10 10 9 9 9 9 9 9 8 8 7 7 7 9 10 11 12 12 10 8 7 6 5 4 3 2 3 3 3 4 4 4 4 5 5 6 6 6 5 5 5 5 4 4 4 5 5 5 5 5 5 6 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 9 9 9 10 10 10 10 10 10 11 11 11 10 9 8 7 6 6 7 8 9 9 8 8 9 9 10 9 8 9 11 12 11 10 8 8 8 9 10 11 11 10 10 9 9 9 9 9 8 9 9 9 8 8 9 10 12 13 11 9 7 7 8 10 10 9 8 7 7 8 10 10 9 8 7 7 8 8 9 8 8 8 8 nan
nan 14 16 16 15 13 10 8 6 5 4 5 6 9 11 13 14 13 13 12 11 11 10 9 8 8 8 9 10 11 11 11 11 10 10 9 9 9 8 8 8 8 8 10 11 11 12 11 9 7 6 5 5 4 4 4 4 3 3 3 2 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 8 9 8 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 8 8 8 8 7 7 8 8 9 10 10 10 10 10 10 10 9 8 7 7 6 6 7 8 9 9 9 8 8 9 9 8 8 8 10 11 11 10 9 9 10 11 11 11 10 10 10 9 9 9 9 9 8 9 10 10 10 10 10 11 13 13 11 8 6 6 9 10 9 8 8 8 8 9 9 10 9 9 9 9 9 10 10 9 9 8 8 nan
nan 12 14 16 15 13 10 7 5 4 3 4 6 9 11 12 12 11 11 10 9 9 8 8 8 9 10 11 12 12 12 12 12 11 10 10 9 9 9 8 8 9 9 10 10 11 11 10 8 7 6 6 7 7 8 8 7 6 5 4 3 4 4 5 5 5 5 6 6 6 6 7 7 7 7 7 6 6 7 7 8 9 8 6 5 5 6 6 7 7 7 7 6 6 6 7 7 8 9 9 9 8 8 7 8 8 9 9 10 10 10 10 9 8 8 8 7 7 7 7 6 6 7 7 8 8 9 8 9 9 9 7 6 7 10 11 11 10 11 11 11 11 10 9 8 8 9 9 10 10 9 8 9 10 11 11 11 10 11 12 11 9 7 5 6 8 9 8 7 7 7 8 9 9 9 9 9 9 9 10 10 10 9 9 9 8 nan
nan 8 10 12 14 13 12 9 6 4 3 3 5 7 9 9 10 9 9 8 7 7 7 8 10 11 12 12 12 12 12 12 11 11 10 10 9 9 9 9 8 8 9 9 10 10 10 10 9 8 7 8 8 9 9 9 9 8 6 5 5 5 5 5 5 6 6 7 7 7 8 9 10 9 9 8 8 8 8 9 9 8 6 4 4 5 5 6 6 7 7 7 6 6 6 7 8 9 10 10 10 10 10 9 10 10 9 9 9 8 8 8 8 7 6 7 7 8 8 7 7 6 6 6 6 7 8 8 9 9 9 8 6 7 8 10 11 12 12 11 10 9 8 8 8 8 9 10 11 12 10 9 9 10 10 10 10 10 10 10 9 8 6 6 8 9 8 7 6 6 6 7 8 8 8 8 8 8 9 10 9 9 8 8 9 9 nan
nan 6 6 8 9 10 11 10 8 5 3 3 4 6 7 8 9 9 8 7 7 7 7 9 11 12 12 12 11 10 11 11 11 11 10 10 10 10 10 9 8 8 8 8 9 10 10 11 10 9 9 8 8 8 9 9 9 8 6 6 6 7 7 7 7 7 7 8 8 9 10 11 11 10 9 9 9 10 10 10 9 8 6 5 5 5 6 6 7 7 7 7 6 7 7 7 9 10 10 10 11 11 10 10 9 8 7 6 5 5 5 6 6 6 7 7 8 9 9 8 7 7 6 5 6 7 8 8 8 9 9 8 8 8 8 9 10 12 12 11 9 9 9 8 8 9 9 10 11 11 10 9 9 9 9 9 9 9 9 9 8 7 7 8 9 9 8 7 6 5 4 5 6 6 6 6 6 7 9 9 8 8 8 8 8 9 nan
nan 6 5 5 5 5 6 7 7 5 4 3 5 7 8 8 9 9 9 8 8 8 9 9 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 9 9 8 9 9 9 10 10 11 11 11 10 9 9 9 9 9 8 7 6 7 9 9 8 8 8 9 9 10 11 11 10 9 9 9 10 11 11 11 11 10 9 8 7 6 6 6 7 7 7 7 7 7 7 7 8 9 9 9 9 10 10 9 8 7 6 5 4 3 3 4 5 6 7 8 8 8 8 8 8 8 7 7 6 6 7 7 8 8 8 8 8 9 9 8 8 10 12 12 11 10 9 9 9 9 9 9 10 10 9 8 8 8 9 8 8 9 10 10 10 8 6 6 8 9 9 9 8 7 5 4 4 5 5 5 5 6 7 8 8 8 7 7 7 7 7 nan
nan 7 6 4 3 2 2 3 5 4 4 4 5 7 9 10 9 9 9 8 8 9 9 10 10 9 9 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 9 9 9 10 11 12 13 12 11 10 11 11 10 8 6 6 7 8 9 8 8 9 10 11 11 10 9 8 7 8 10 11 12 12 11 11 11 10 9 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 8 7 6 6 6 6 5 5 6 7 8 9 9 9 8 8 7 7 8 8 8 7 6 6 6 7 7 7 7 8 9 9 8 8 9 11 11 11 10 9 9 9 9 9 9 9 8 8 7 8 9 9 8 9 10 11 11 9 7 6 6 7 8 8 8 8 8 7 5 5 5 5 5 5 5 6 7 7 7 7 7 6 6 6 nan
nan 7 6 5 3 2 1 2 3 3 3 3 5 7 8 10 9 9 9 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 10 9 9 10 10 11 11 10 10 9 9 10 11 13 14 14 13 13 13 13 11 7 5 5 6 7 7 7 8 10 11 11 10 8 7 6 7 8 10 11 11 11 10 10 9 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 9 10 10 9 8 8 7 8 8 9 9 8 7 7 6 7 7 7 7 8 8 8 8 8 8 10 10 10 9 9 8 9 9 10 10 9 8 8 9 9 9 8 8 9 10 11 10 9 8 8 7 7 7 8 8 8 8 7 6 6 5 5 5 5 5 5 5 6 7 7 7 7 7 7 nan
nan 6 6 6 5 4 3 2 3 3 3 4 5 6 7 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 9 10 10 11 13 15 15 15 15 15 13 9 5 4 4 5 6 7 8 9 11 11 10 9 8 8 8 9 9 10 10 10 9 9 8 8 7 8 9 9 9 8 7 6 6 7 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 9 10 10 9 9 10 10 10 9 9 8 8 9 9 9 9 9 9 8 8 8 8 8 7 8 8 8 8 8 8 8 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 8 8 8 8 8 7 7 6 6 6 6 5 4 4 5 6 7 7 7 7 7 8 nan
nan 6 6 6 6 5 5 4 4 4 5 5 6 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 12 13 14 15 16 16 12 8 5 5 5 6 7 8 9 10 10 10 10 10 10 10 10 10 10 10 9 8 8 8 7 7 7 7 8 8 8 7 6 5 5 6 8 9 9 9 9 9 9 8 7 6 7 7 8 8 8 8 9 9 9 9 9 9 10 10 10 9 8 8 9 9 9 9 9 9 9 9 9 9 8 8 7 8 9 9 9 8 8 8 8 9 9 8 8 8 8 8 8 9 9 9 9 9 10 10 11 10 10 10 10 10 10 10 10 9 9 9 8 8 7 7 7 7 7 7 7 6 5 5 5 6 6 6 7 8 8 nan
nan 6 6 6 6 6 6 6 6 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 9 8 9 9 9 10 10 10 10 11 11 12 12 13 14 15 14 11 8 7 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 9 8 8 8 8 8 7 5 5 5 5 5 5 4 3 4 5 7 8 9 9 9 9 9 8 8 7 7 7 7 8 9 9 10 9 8 8 8 9 10 10 10 9 8 7 7 8 8 8 7 7 8 9 9 8 8 8 8 8 9 10 10 9 8 8 8 9 9 8 8 8 8 8 8 8 9 9 9 10 10 12 12 12 11 10 9 9 9 10 10 10 10 9 9 9 8 7 6 6 7 8 8 8 7 6 5 5 6 6 6 7 8 nan
nan 7 7 6 6 7 7 8 9 10 10 10 10 9 9 8 8 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 10 10 10 11 11 11 12 12 13 13 13 12 10 10 10 11 11 11 11 11 10 10 10 10 10 10 9 10 10 10 9 8 8 8 8 8 7 6 4 4 5 5 5 4 4 4 4 5 6 6 7 8 8 9 8 7 7 8 8 7 7 8 9 10 10 8 6 6 6 7 9 9 8 7 7 6 6 6 7 6 6 6 7 7 8 8 8 8 8 9 9 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 10 10 11 12 12 12 11 10 10 10 10 10 10 10 10 10 10 9 8 7 6 6 7 8 9 9 7 6 6 6 6 6 7 7 nan
nan 8 8 8 8 8 8 9 10 11 11 11 11 10 10 9 8 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 8 9 9 10 10 10 10 11 11 11 12 12 12 11 11 11 12 13 13 12 11 10 9 9 9 9 9 8 8 9 9 9 8 7 7 8 8 8 7 5 4 5 6 6 6 6 5 6 6 6 6 6 6 6 7 7 6 6 7 8 8 8 8 8 8 7 6 5 4 3 4 6 7 6 5 5 5 5 5 6 6 6 6 6 6 7 7 8 8 8 9 9 9 10 10 10 9 8 8 8 8 8 7 8 8 8 8 8 8 8 9 9 10 10 10 10 11 12 12 12 12 11 11 11 11 11 11 11 11 11 10 9 8 8 9 9 9 8 7 7 7 7 7 7 7 nan
nan 10 10 9 9 8 8 8 9 10 11 11 11 11 11 10 9 8 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 8 9 9 9 9 9 10 10 10 10 11 11 11 11 12 13 14 13 12 11 9 8 8 7 7 8 8 8 9 9 9 8 7 8 9 8 7 6 5 5 5 6 7 7 6 6 7 7 8 7 7 6 6 6 6 6 6 7 8 8 8 8 8 7 6 5 5 5 5 6 7 7 6 5 5 5 5 5 6 6 6 6 6 6 6 6 7 8 8 8 8 9 9 10 10 9 8 8 8 8 7 7 8 9 9 8 8 8 8 9 9 9 9 9 9 10 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 10 10 10 9 9 9 9 9 8 8 7 7 nan
nan 11 10 9 8 7 7 7 8 8 9 10 11 11 11 10 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 10 10 11 11 12 13 13 13 12 11 10 9 8 8 8 8 9 9 10 10 9 8 8 8 9 8 7 6 5 5 6 7 7 7 7 7 8 8 8 8 7 7 7 7 6 6 6 7 8 8 8 8 8 7 7 7 8 8 8 9 9 8 8 7 7 7 7 7 7 6 6 6 7 7 7 6 7 8 9 9 8 8 9 9 9 8 8 8 8 8 8 8 9 10 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 12 12 12 13 13 13 12 12 12 11 11 11 11 10 9 9 8 7 nan
nan 9 9 8 7 6 6 6 7 7 8 9 9 10 10 9 8 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 6 7 7 7 7 7 6 7 7 8 8 8 8 8 9 9 9 9 9 9 10 11 11 12 12 12 12 12 11 10 9 9 9 9 10 10 10 10 10 9 8 8 8 7 5 5 5 6 7 7 7 7 7 8 8 8 8 7 7 7 7 7 6 6 6 8 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 8 8 8 7 8 9 10 8 7 7 8 8 8 8 8 9 9 9 9 9 9 10 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 12 12 12 13 13 12 10 9 9 9 8 8 nan
nan 8 7 6 6 6 6 6 6 7 7 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 6 7 7 7 6 6 7 7 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 11 12 12 12 11 10 10 10 10 10 10 10 9 9 9 8 7 6 5 4 4 5 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 6 6 6 8 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 8 8 9 8 8 8 9 9 8 6 7 7 8 8 8 8 9 10 10 9 8 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 8 9 9 9 9 10 11 12 12 9 8 7 7 8 7 nan
nan 7 6 6 5 5 5 5 6 6 7 7 7 7 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 11 12 11 11 11 11 11 10 10 9 9 9 10 10 8 6 5 4 4 5 6 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 8 8 8 8 9 9 9 8 8 8 9 9 9 9 9 9 9 8 8 7 7 8 8 9 8 8 8 8 8 6 6 7 7 8 7 7 8 10 10 9 7 7 8 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 8 9 10 11 10 8 7 7 7 7 nan
nan 7 7 7 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 9 9 8 8 8 8 9 9 9 9 8 8 8 8 8 7 7 7 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 11 11 12 12 12 11 10 9 8 8 9 10 9 7 6 5 5 6 7 8 8 8 8 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 8 8 7 6 5 5 6 7 7 7 7 8 8 8 7 6 6 8 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 9 9 9 8 7 7 8 9 10 10 10 9 8 7 7 nan
nan 8 8 8 8 8 7 7 7 7 7 7 7 8 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 11 12 12 11 10 9 8 8 8 10 10 9 7 6 6 7 8 9 9 9 8 8 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 8 7 5 3 3 5 6 7 7 7 7 8 8 7 6 7 8 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 10 10 9 9 8 8 7 7 8 9 10 10 10 9 9 8 nan
nan 10 9 10 10 10 9 8 8 8 8 8 8 9 10 10 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 9 9 9 8 8 8 8 8 7 8 8 8 8 8 8 8 8 7 8 8 8 8 9 9 9 9 9 10 11 11 11 10 9 8 8 8 9 11 11 10 7 6 7 8 9 9 9 9 9 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 7 7 7 8 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 6 4 2 4 6 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 8 8 7 7 7 8 9 10 10 9 9 nan
nan 12 11 11 11 11 11 10 10 9 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 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 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 9 10 11 11 9 8 8 9 9 9 10 10 10 9 9 9 9 9 9 9 9 8 8 8 9 9 9 10 9 7 6 7 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 7 5 4 6 8 9 9 8 7 7 8 8 9 9 10 10 9 9 9 9 9 8 8 8 8 9 9 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 8 7 6 6 7 8 9 9 8 nan
nan 13 13 12 12 12 12 12 12 11 11 11 10 9 9 9 9 9 9 8 8 7 7 7 7 7 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 7 7 8 9 9 9 9 9 10 10 9 9 9 10 11 11 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 8 7 7 7 8 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 7 7 7 8 9 8 7 6 6 7 7 8 8 9 9 9 9 9 9 9 9 8 8 8 9 9 10 10 11 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 10 8 6 4 4 6 7 8 8 nan
nan 14 13 13 12 12 12 12 13 12 12 11 10 9 8 8 9 9 9 8 8 7 6 6 6 6 6 7 7 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 7 7 8 10 10 9 9 8 9 9 9 10 10 11 12 12 12 10 9 9 9 9 9 8 8 9 9 9 9 9 9 9 10 10 10 9 7 7 7 8 9 9 9 9 9 9 9 10 11 11 10 9 9 8 8 9 9 9 9 9 9 9 9 9 9 8 7 7 8 8 8 7 7 7 7 7 7 7 8 9 9 9 9 10 10 10 10 9 9 8 9 10 10 11 11 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 12 12 12 10 8 6 5 5 6 7 7 nan
nan 14 13 12 12 11 11 11 11 11 11 10 9 9 8 8 9 9 9 8 8 7 7 7 6 5 5 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 9 8 8 9 9 10 10 11 12 13 12 10 8 8 8 9 9 7 7 8 9 10 9 9 9 10 10 9 9 9 9 7 7 7 8 9 9 9 9 9 9 10 10 10 9 9 8 8 8 9 9 9 9 8 8 8 8 9 9 8 7 7 7 8 8 8 8 8 8 8 8 8 9 9 10 11 11 11 11 11 11 11 11 10 10 10 10 11 11 10 10 10 9 9 9 9 9 9 9 9 10 9 10 10 10 10 11 12 12 13 12 10 8 7 6 6 7 7 nan
nan 12 12 11 10 10 10 10 9 9 9 9 8 8 8 8 9 9 9 9 8 8 8 8 8 7 7 7 6 7 7 7 6 6 6 7 7 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 9 10 10 11 11 11 12 12 10 8 7 7 8 9 9 7 8 10 10 10 9 8 9 10 9 8 8 8 8 7 7 7 8 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 8 8 7 7 8 8 7 6 6 7 8 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 12 13 13 12 11 10 8 8 7 7 nan
nan 10 9 9 8 8 8 7 8 8 8 8 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 7 7 6 6 6 6 6 7 7 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 11 11 11 10 11 11 10 9 8 8 8 9 9 9 9 10 11 11 10 8 8 9 10 9 8 8 8 8 7 7 7 8 9 9 9 9 9 9 9 9 8 8 9 9 10 9 9 9 9 9 8 8 7 7 7 7 7 6 6 6 8 9 10 10 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 12 12 11 11 11 10 10 10 9 9 9 9 9 10 10 10 10 10 9 10 10 10 10 10 11 11 11 12 12 13 13 12 11 10 9 8 nan
nan 8 8 7 7 6 6 6 6 6 7 7 7 7 7 8 8 9 9 9 9 9 9 8 9 9 9 9 8 8 7 7 6 6 6 6 7 7 7 7 8 8 8 9 9 9 9 10 9 9 8 8 8 8 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 10 9 9 9 9 9 9 9 9 9 10 10 10 11 11 10 9 9 9 10 10 9 8 8 8 8 7 7 7 8 9 9 9 9 9 9 9 9 9 10 10 10 9 8 8 8 8 9 9 8 7 7 7 8 7 6 6 7 8 9 9 9 9 9 9 9 10 10 10 10 9 9 10 11 11 12 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 11 11 11 11 11 12 13 13 13 12 10 9 nan
nan 9 9 8 8 7 6 6 6 6 6 6 7 7 7 8 9 9 9 9 9 8 8 8 8 9 9 9 9 8 7 7 6 7 7 7 7 7 7 7 7 7 7 8 8 9 10 10 10 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 9 10 10 11 11 11 9 9 9 9 9 9 9 8 8 9 10 10 10 9 8 7 8 10 11 11 10 10 9 8 8 8 8 7 7 8 8 9 9 9 9 9 9 9 10 10 10 8 7 7 7 8 8 9 9 8 8 8 8 8 7 7 7 7 8 8 8 8 8 9 9 10 11 11 11 10 9 9 9 10 11 12 12 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 11 11 12 13 13 13 12 11 nan
nan 11 11 10 10 9 9 8 7 7 7 7 7 8 8 9 9 9 9 8 8 8 8 8 9 10 10 10 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 10 10 10 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 10 9 9 9 9 9 8 8 9 9 9 9 9 8 7 8 9 10 11 11 11 10 10 9 8 8 8 7 8 8 9 8 8 8 8 8 9 10 10 10 8 7 7 7 7 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 11 11 10 10 9 9 10 10 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 11 12 12 13 13 13 13 nan
nan 12 11 11 11 12 11 10 9 9 9 9 9 9 9 9 9 9 8 7 7 8 8 9 9 10 10 10 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 7 8 9 10 10 10 9 9 9 8 7 7 8 8 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 10 11 11 10 9 8 8 7 7 8 9 9 8 7 7 8 9 9 10 10 9 8 7 7 8 8 9 9 9 8 8 8 8 8 9 9 9 10 10 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 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 10 10 11 11 12 12 12 12 13 nan
nan 11 10 10 11 12 12 11 10 9 10 10 10 10 10 10 9 9 9 9 8 8 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 10 10 10 10 9 8 8 8 8 9 10 10 10 9 9 9 10 10 10 10 10 11 11 11 11 10 9 9 10 10 10 10 10 10 10 10 9 8 7 7 6 6 6 8 10 11 10 9 9 9 8 8 7 8 9 8 7 7 7 8 9 10 10 10 9 8 8 8 8 8 9 9 9 8 8 8 8 8 9 9 10 10 10 10 10 9 9 9 8 8 8 9 10 10 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 10 10 10 10 10 10 10 9 9 9 9 10 10 11 11 11 11 11 12 nan
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nan 7 7 8 9 11 12 14 15 14 14 13 11 11 10 10 9 9 9 9 9 9 10 12 13 13 11 10 10 10 10 9 9 10 10 9 9 10 11 11 10 11 12 13 13 13 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 10 10 9 9 9 9 8 8 8 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 9 9 11 14 17 17 14 12 10 9 9 9 7 6 3 1 1 4 6 7 7 7 8 8 7 7 7 8 9 10 11 12 13 14 14 13 13 12 11 9 6 5 6 8 10 11 10 9 9 12 14 14 13 13 12 11 8 3 -0 0 3 5 6 6 6 6 6 7 7 7 8 9 9 10 nan
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nan 6 6 6 7 8 9 11 14 15 15 15 15 13 12 11 10 9 9 9 10 12 14 15 15 14 12 10 9 8 8 7 8 8 8 8 8 8 9 9 9 9 10 11 12 12 12 12 12 12 11 11 12 12 12 12 12 12 12 13 13 12 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 10 12 16 18 17 14 11 10 10 10 9 7 4 0 -0 1 4 7 8 9 9 9 7 6 6 6 7 7 8 9 11 11 10 10 10 13 14 12 8 3 -2 -4 -1 3 6 8 10 12 13 13 12 11 11 10 7 3 1 3 7 9 9 8 8 7 7 6 6 6 6 6 8 9 nan
nan 7 6 5 5 5 7 9 12 14 15 16 16 15 13 12 10 9 9 9 10 13 15 15 15 13 12 11 10 10 9 8 8 8 8 8 8 9 9 9 8 8 9 10 11 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 10 11 15 19 19 16 13 11 10 10 10 8 5 2 -0 -0 3 7 9 9 9 9 9 8 7 7 7 7 8 9 10 10 9 9 10 13 16 17 15 12 6 0 -2 -1 1 3 5 8 10 11 11 11 11 10 7 3 1 3 7 11 11 10 10 9 8 8 7 7 6 7 9 10 nan
nan 7 6 5 4 4 5 7 10 13 15 17 17 15 14 12 10 8 8 9 11 14 16 15 14 13 11 11 11 10 10 9 8 8 8 8 9 9 9 8 7 7 8 9 10 11 12 11 11 11 11 12 12 12 12 13 13 13 13 13 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 10 10 10 10 10 9 9 9 9 10 10 9 9 9 10 11 11 12 11 11 10 11 11 12 12 12 12 11 11 11 10 10 10 14 19 20 18 15 11 9 8 7 6 4 2 -0 -1 2 6 8 9 9 10 10 10 9 9 8 8 9 9 9 10 10 10 10 12 15 18 20 19 16 9 4 0 -1 -0 2 5 8 9 10 10 10 9 7 3 1 2 6 10 11 12 11 10 9 8 8 7 8 9 10 11 nan
nan 9 8 7 6 5 5 7 9 11 14 15 16 15 13 12 10 8 7 9 11 14 15 15 14 12 10 10 10 10 9 8 8 9 9 9 10 10 10 9 7 7 8 9 9 10 10 10 10 10 11 11 11 11 12 12 13 13 13 13 13 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 10 10 10 9 9 9 10 11 12 12 11 10 11 11 12 12 12 12 12 12 12 11 10 10 13 18 20 20 16 11 8 6 4 3 2 1 -0 -1 1 4 6 8 9 10 11 11 11 10 8 8 8 8 8 9 9 10 10 11 13 15 19 22 23 19 14 9 5 4 5 7 8 9 10 10 10 10 7 3 -1 -2 1 6 10 12 12 11 9 9 8 8 8 10 11 12 nan
nan 11 10 9 8 8 7 8 9 10 12 13 14 14 13 12 10 9 8 10 12 14 15 14 13 10 9 8 8 8 8 7 8 9 9 10 10 10 10 9 8 8 8 9 9 10 9 9 10 10 10 10 10 10 11 12 12 13 13 13 13 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 8 8 8 9 10 10 11 10 9 9 10 11 11 12 11 11 11 11 12 12 13 13 12 12 12 11 10 10 12 17 20 21 17 11 7 4 2 1 1 1 0 -0 -0 1 4 6 7 9 10 11 11 10 9 8 8 7 7 7 7 8 9 10 11 13 16 21 23 23 22 17 12 10 9 9 9 10 10 10 10 10 9 5 0 -4 -3 1 7 11 12 11 10 9 8 8 9 10 12 13 nan
nan 10 10 10 10 10 10 9 9 10 11 11 12 13 13 13 12 11 11 12 13 14 15 13 12 10 8 7 7 7 6 7 8 9 10 10 9 9 9 8 8 9 9 10 10 10 9 10 10 11 11 11 11 11 12 12 12 12 13 13 13 12 12 12 12 12 11 12 12 11 11 11 11 12 12 11 11 11 11 12 11 11 10 10 10 10 9 9 8 8 8 9 10 10 11 10 10 10 10 11 12 12 11 11 11 11 11 12 12 12 11 11 11 11 10 9 11 15 19 20 17 11 7 3 1 1 2 3 3 2 1 1 3 5 6 8 9 10 10 10 9 9 8 7 7 6 6 7 8 9 10 11 13 16 19 22 24 21 17 13 11 10 10 10 10 10 10 10 10 9 5 -0 -3 -2 4 8 10 10 10 9 9 8 8 9 10 11 nan
nan 9 9 10 10 10 10 9 9 10 11 12 13 13 14 14 14 14 14 14 14 14 14 12 11 10 8 7 7 6 6 7 8 9 10 9 8 8 7 8 9 10 11 11 11 10 10 10 11 11 11 11 11 12 13 13 13 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 10 10 9 9 9 8 8 8 8 9 9 10 10 10 11 11 11 11 11 11 11 11 10 11 11 11 11 11 10 10 10 10 9 9 10 13 17 19 16 11 7 4 2 3 4 5 6 5 3 3 4 6 7 7 7 8 8 9 9 9 9 8 8 8 8 8 8 8 9 9 10 12 14 19 22 22 18 15 12 11 11 11 11 10 10 10 11 10 8 4 -1 -2 0 6 9 10 9 8 8 7 6 5 5 7 nan
nan 9 9 9 9 9 9 8 9 10 12 13 14 15 15 15 16 15 14 14 14 13 13 12 11 10 9 7 7 6 7 8 9 9 10 9 8 7 7 8 10 12 13 13 12 11 11 11 11 11 11 11 11 12 13 13 13 12 12 12 12 12 12 13 13 13 13 12 12 13 13 13 13 13 12 11 11 11 10 10 10 10 10 10 9 9 8 8 8 8 9 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 11 11 10 10 9 9 9 9 8 8 8 10 13 16 16 13 9 6 4 5 6 7 8 7 5 5 5 7 9 8 7 6 7 7 8 8 8 8 8 9 9 9 8 8 8 8 9 10 12 16 19 20 18 15 13 12 12 11 11 11 11 11 11 11 10 6 1 -2 -1 4 8 9 8 7 6 5 4 3 2 4 nan
nan 11 10 9 9 9 8 8 9 10 12 14 15 15 16 16 15 14 13 12 12 12 12 12 11 10 9 7 6 6 7 8 9 9 9 8 7 7 8 10 12 13 14 14 13 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 13 13 12 12 12 12 12 12 13 13 13 12 12 11 11 10 10 10 10 11 10 9 8 8 8 9 9 10 10 10 9 9 10 10 10 11 11 10 10 10 9 9 10 10 10 10 10 10 10 10 9 9 8 7 6 8 11 14 14 13 10 8 7 7 7 8 8 6 5 5 7 9 9 7 6 6 6 6 6 6 7 7 8 9 9 9 9 9 9 9 10 12 14 17 18 16 14 13 12 12 12 12 12 11 11 11 11 11 8 4 0 1 6 10 11 8 6 5 6 5 4 3 4 nan
nan 12 11 10 10 9 8 8 8 9 11 12 13 14 15 15 14 13 12 11 11 12 13 12 11 10 9 8 6 6 7 8 9 9 8 7 7 8 10 12 13 14 15 14 14 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 11 12 12 12 12 11 11 11 11 11 11 11 12 12 12 11 11 10 10 10 10 10 11 10 9 9 9 9 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 11 11 10 8 7 7 10 13 15 14 12 9 7 7 8 8 6 4 2 3 6 7 7 6 5 5 6 6 6 6 6 7 8 9 10 10 10 10 10 10 12 14 16 16 15 14 13 12 12 12 12 12 12 11 11 11 12 10 7 4 4 7 11 11 9 6 6 6 6 5 4 4 nan
nan 12 11 11 10 10 9 8 8 8 9 9 10 12 13 14 14 14 13 12 13 13 13 13 12 11 10 8 7 7 7 8 8 8 7 7 8 10 12 14 15 15 14 14 13 13 12 11 11 11 11 11 11 11 11 11 11 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 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 9 10 10 11 11 11 11 11 13 14 13 11 8 7 9 13 16 14 11 8 7 8 7 6 3 0 -0 2 4 5 5 4 5 6 7 7 6 6 7 8 9 10 10 11 11 10 11 12 15 16 16 14 13 12 12 12 12 12 12 12 12 11 11 11 11 10 8 8 9 9 9 8 7 7 7 7 5 4 3 nan
nan 11 11 11 11 10 9 9 8 8 8 8 9 11 12 13 14 14 14 14 14 15 14 14 13 11 10 8 7 7 7 8 8 7 7 8 9 12 14 15 15 14 14 13 13 12 12 11 11 11 10 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 10 10 10 10 10 10 10 9 9 9 9 9 10 9 9 9 9 10 10 11 11 11 10 10 10 10 10 10 9 8 8 8 8 9 10 11 12 12 11 11 13 15 16 16 11 6 7 10 14 15 13 9 7 7 8 7 6 3 1 1 2 3 3 3 4 6 8 8 8 9 9 9 9 10 10 10 10 10 10 13 16 17 16 14 12 12 12 12 12 12 12 12 12 11 11 10 10 11 12 12 11 9 8 7 7 8 8 8 6 4 4 nan
nan 11 11 11 10 9 9 9 9 9 9 9 10 11 12 13 14 14 15 15 15 15 15 14 13 11 9 8 8 7 7 7 7 7 7 9 11 13 14 14 14 13 13 12 12 11 11 11 11 11 11 11 12 12 13 13 13 13 13 12 12 11 11 11 11 11 11 12 12 12 12 12 12 11 10 10 9 9 9 10 10 10 10 9 9 9 9 9 9 8 8 8 10 11 11 11 11 11 11 11 11 10 10 9 8 8 8 8 8 9 10 11 12 12 12 12 14 18 20 16 10 6 6 9 11 11 10 9 8 8 8 8 7 5 4 4 3 1 0 1 3 6 8 9 10 11 11 10 10 10 11 10 9 9 11 15 16 15 13 12 11 11 11 11 12 12 12 12 11 10 8 6 7 11 13 14 12 9 8 8 9 9 8 6 5 4 nan
nan 12 11 10 8 7 7 8 9 9 9 10 11 12 12 13 14 15 15 15 15 15 15 14 12 11 9 9 8 8 7 7 6 7 8 11 13 14 14 13 12 12 11 11 11 11 11 11 11 11 12 12 11 11 11 12 12 12 12 12 12 11 11 11 11 10 10 10 11 11 11 11 11 11 10 10 9 9 9 10 10 10 10 9 9 9 10 10 9 8 8 8 10 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 10 11 12 12 12 12 13 17 21 19 15 10 5 5 7 8 9 9 9 8 8 8 9 8 8 8 6 2 -0 -2 -2 1 4 7 9 11 11 11 11 11 12 11 9 7 7 10 11 12 12 11 11 11 11 11 11 11 12 12 12 10 7 4 4 7 10 12 12 11 10 10 10 10 9 7 6 6 nan
nan 11 11 10 7 6 6 7 9 10 10 10 11 12 13 14 15 16 16 16 15 15 14 13 12 12 11 10 9 8 7 7 7 8 10 12 14 14 13 12 11 11 11 11 11 11 10 10 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 10 10 9 9 9 9 9 10 10 9 9 9 10 10 10 10 9 8 8 9 10 10 10 10 10 11 11 10 10 10 9 9 10 9 9 9 9 10 10 11 11 12 12 12 14 17 19 18 16 11 7 7 7 8 9 9 9 9 9 9 9 10 10 9 6 2 -2 -4 -3 1 5 8 9 10 11 11 11 11 11 9 6 5 6 8 9 10 10 10 10 10 10 11 11 13 15 15 14 10 7 5 6 7 9 10 10 10 10 10 10 10 10 9 9 nan
nan 11 11 10 8 6 6 8 9 9 9 10 11 12 13 15 16 16 16 15 14 14 13 13 13 13 13 12 10 8 7 7 8 9 11 13 15 14 13 12 11 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 8 9 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 13 16 18 20 19 15 13 12 11 11 11 11 10 9 9 10 10 11 11 9 7 2 -3 -3 -0 3 7 8 8 7 7 7 8 9 9 7 6 6 7 8 8 9 9 10 10 10 11 12 15 18 21 21 18 15 12 9 8 8 8 9 9 10 11 11 12 12 12 12 nan
nan 11 11 9 8 7 8 8 9 9 9 10 10 11 13 14 15 15 14 13 13 13 13 14 15 14 14 12 10 8 7 7 8 10 12 14 14 13 12 11 11 11 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 9 9 10 10 11 10 10 10 10 10 10 9 9 8 8 9 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 11 13 17 21 23 22 22 20 19 18 17 16 14 12 11 11 11 11 12 12 11 6 -0 -3 -3 -1 4 6 5 4 4 4 6 7 8 8 8 8 8 9 9 9 10 11 12 13 13 14 16 19 22 24 24 22 19 14 11 9 8 8 8 9 11 12 13 13 12 12 nan
nan 11 11 10 9 8 8 8 8 8 8 9 10 10 11 12 12 12 11 11 11 12 14 15 15 15 14 12 10 9 8 8 9 11 12 13 13 12 12 11 11 11 10 10 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 8 8 8 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 9 10 10 9 10 10 10 10 10 10 10 11 10 10 10 10 10 10 11 15 19 22 23 25 25 24 24 23 22 20 18 16 15 15 14 13 13 13 10 4 -1 -5 -3 2 5 6 6 5 6 7 8 10 11 12 12 12 11 11 12 13 15 16 16 16 15 15 16 18 20 22 22 20 17 13 11 10 9 8 8 10 11 12 12 12 11 nan
nan 11 11 10 10 9 8 7 7 7 7 8 9 9 10 10 10 10 10 10 11 12 13 15 15 14 13 12 11 11 10 10 11 11 12 12 12 12 12 12 12 11 10 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 11 11 11 10 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 10 10 12 13 16 18 20 21 21 22 23 24 24 23 23 23 23 22 19 18 17 16 14 11 7 6 9 11 13 14 13 12 12 13 14 16 18 19 17 14 13 13 14 15 14 14 13 11 9 10 11 15 18 19 19 17 16 14 13 12 11 10 10 11 12 12 11 10 nan
nan 11 11 11 10 9 8 7 6 6 7 8 8 8 9 9 9 9 10 11 11 11 12 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 10 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 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 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 11 12 14 15 15 17 19 22 25 25 26 26 28 29 28 26 24 23 23 23 21 20 20 20 21 22 21 20 19 18 17 18 19 19 17 13 10 10 10 9 8 7 7 6 4 5 7 13 17 19 20 20 19 18 17 16 14 13 12 12 12 11 11 10 nan
nan 12 12 11 10 8 7 6 6 6 7 7 8 8 8 8 9 10 11 11 11 11 11 11 11 12 12 13 14 14 14 14 14 14 14 14 13 13 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 11 11 11 11 10 10 9 9 9 9 9 10 10 11 11 11 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 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 12 13 14 17 20 20 21 21 23 26 27 28 27 25 23 22 21 21 21 21 22 22 22 21 21 19 17 16 17 17 15 11 9 9 10 10 9 8 7 7 6 6 9 13 16 18 19 20 19 18 16 15 14 13 12 12 11 11 11 10 nan
nan 13 13 11 9 8 7 7 7 7 7 7 8 8 8 9 9 10 10 11 11 11 10 10 11 12 13 14 15 15 16 15 15 15 15 15 14 13 12 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 10 9 8 8 8 9 9 9 9 10 10 10 9 9 9 9 9 9 10 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 9 9 10 10 10 10 10 10 10 10 10 11 11 12 13 14 14 14 14 16 17 19 20 20 19 17 16 15 15 16 16 17 17 17 17 18 18 17 17 18 19 18 15 13 13 15 16 16 15 13 12 11 11 11 12 14 15 15 15 14 14 13 12 12 11 11 11 11 11 11 12 nan
nan 13 12 10 9 8 8 8 8 7 7 7 7 8 8 8 9 10 10 11 11 11 11 10 11 12 13 15 16 16 17 16 16 16 16 15 14 13 12 12 11 11 11 10 10 10 10 10 10 10 11 11 12 12 12 12 11 11 11 11 11 10 10 10 11 11 11 10 11 11 12 11 10 9 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 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 11 11 11 10 10 9 9 10 10 11 12 12 12 12 12 12 12 13 13 14 14 13 13 13 12 12 13 14 14 14 14 15 17 17 17 18 19 20 18 17 16 16 17 17 17 15 14 13 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 14 nan
nan 12 11 10 10 9 9 9 9 8 8 8 8 8 8 8 9 10 11 11 11 11 11 11 12 13 14 15 16 17 17 17 17 17 16 15 14 13 12 12 11 11 11 10 10 10 10 10 10 11 11 11 12 12 12 11 10 10 10 11 11 11 11 10 10 10 9 9 10 11 12 12 11 9 9 8 9 9 9 9 9 9 8 8 9 9 9 9 8 8 9 9 9 8 8 8 8 9 9 9 9 10 11 11 11 11 11 10 10 10 9 9 9 9 9 9 10 10 11 12 11 10 9 8 6 5 5 6 8 10 11 12 12 12 11 12 12 12 12 12 12 12 11 10 9 9 11 13 13 13 13 14 14 15 15 15 15 15 14 14 13 14 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 13 nan
nan 12 11 11 11 11 10 10 10 9 9 8 8 9 9 9 9 10 11 11 11 11 11 11 12 13 14 16 17 17 17 18 18 17 16 15 14 13 12 12 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 10 9 9 9 9 10 11 11 11 10 9 9 8 9 11 11 12 11 10 9 9 9 10 9 9 9 8 8 8 9 10 10 10 9 7 6 6 6 5 4 4 5 6 8 9 9 10 11 11 11 11 11 11 10 10 9 9 9 8 8 9 10 11 12 13 12 10 8 6 4 1 0 0 1 3 5 7 9 10 10 10 10 10 11 12 13 13 10 7 4 3 6 10 12 12 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 9 9 9 9 10 11 nan
nan 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 10 11 11 11 11 10 10 11 12 13 15 16 17 17 18 18 18 18 16 15 14 13 12 12 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 9 9 9 10 11 11 12 12 11 10 10 10 10 11 11 11 10 10 10 10 10 10 9 8 6 5 5 6 7 9 10 10 9 7 4 3 1 -0 -2 -2 -1 2 5 7 8 9 10 10 11 11 10 10 10 9 9 8 8 8 8 9 10 11 12 11 10 8 7 5 3 1 -1 -2 -2 -2 -0 2 4 5 5 5 5 6 8 11 13 11 6 2 -1 1 6 10 11 11 10 10 10 9 9 9 9 9 10 10 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 10 10 9 9 9 8 8 8 9 9 nan
nan 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 10 10 11 12 13 14 15 16 17 17 18 18 18 17 16 15 14 13 12 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 12 12 12 12 11 11 11 11 11 10 10 10 10 11 11 11 11 10 6 4 1 0 1 3 6 9 11 11 8 5 2 -1 -3 -5 -7 -6 -4 -1 1 2 4 6 8 9 10 10 10 9 8 6 5 5 5 5 5 6 8 9 9 9 8 8 8 7 5 2 -0 -2 -3 -2 -1 0 1 0 0 1 2 7 11 11 9 3 -0 0 4 8 10 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 10 10 10 11 11 12 14 14 15 16 17 18 19 19 19 18 17 15 14 12 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 12 12 12 11 11 11 11 11 11 10 10 11 11 12 13 14 15 13 9 5 0 -3 -3 -1 2 6 10 11 10 7 4 1 -2 -5 -8 -8 -8 -7 -5 -4 -2 0 3 6 9 10 10 8 5 2 -1 -2 -1 -1 1 3 5 6 7 8 8 9 9 9 8 6 4 2 1 1 2 2 1 1 0 1 5 9 11 11 8 5 5 7 9 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 9 9 9 8 8 8 9 9 8 8 8 8 8 nan
nan 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 10 11 11 12 13 13 14 15 16 17 19 20 19 19 18 16 14 12 11 10 10 10 10 10 10 11 11 12 12 12 12 12 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 13 15 17 19 19 17 13 6 2 -1 -3 -0 4 7 8 9 8 7 5 2 -1 -3 -5 -6 -6 -7 -7 -6 -4 -0 5 9 11 11 8 4 0 -1 -1 -1 0 2 4 5 6 7 8 8 9 9 9 9 8 8 7 7 7 7 6 6 5 5 6 8 9 9 9 9 9 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 9 8 8 8 8 9 9 9 9 9 8 8 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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
179 187 203 234 230 220 214 214 216 215 216 217 214 220 221 232 263 302 331 401 452 514 574 611 631 663 704 731 717 673 629 605 599 609 648 704 762 826 858 800 695 601 510 448 414 399 387 368 362 370 366 382 406 416 415 412 408 399 403 422 424 357 200 84 28 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 3 2 1 2 4 4 4 2 1 1 2 3 7 14 21 24 20 11 5 3 2 2 1 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
74 114 165 216 226 220 211 205 198 186 175 168 147 139 129 134 162 205 263 359 431 461 457 440 438 476 535 565 553 523 494 478 483 501 547 626 703 774 817 809 763 698 619 548 495 447 383 292 322 393 424 456 482 481 456 440 440 435 431 422 365 231 94 29 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 2 2 1 1 2 1 0 1 4 7 6 4 3 2 3 4 9 15 17 17 15 10 6 5 5 5 6 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
17 57 119 182 207 199 185 172 158 142 125 114 95 88 75 73 91 129 188 276 342 344 302 247 220 248 299 329 341 342 342 350 373 403 434 488 556 629 685 699 654 618 602 583 545 490 423 344 353 416 465 507 531 523 492 467 478 479 446 365 245 121 37 8 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 1 1 0 0 0 0 0 0 1 2 2 2 2 2 2 3 3 2 1 1 2 4 5 6 6 6 7 7 8 11 14 11 11 13 14 12 10 11 11 11 11 8 5 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
6 29 71 117 151 168 165 151 135 118 100 85 69 64 58 54 63 89 131 190 239 237 194 138 103 111 136 157 176 193 209 225 241 265 271 310 394 507 614 667 600 506 498 521 531 515 496 498 487 523 552 562 556 538 509 481 481 454 377 261 142 54 12 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 1 1 1 1 0 0 0 0 1 1 2 3 2 2 2 3 5 5 4 2 2 2 2 2 5 6 7 8 11 15 19 19 15 15 19 20 19 18 18 17 17 17 15 12 9 10 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
5 17 33 45 60 87 111 116 109 96 81 69 54 50 53 58 65 79 105 141 175 184 160 122 92 81 79 79 81 88 101 109 107 117 125 169 253 348 428 473 453 385 370 386 450 520 547 535 522 570 593 563 525 504 475 459 399 306 204 114 49 14 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 1 1 1 1 1 0 0 0 0 1 2 3 3 3 3 4 5 6 7 6 6 5 3 1 1 2 4 6 9 14 18 22 23 21 23 28 27 23 21 21 22 24 24 22 19 19 24 17 9 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
3 11 21 28 37 55 72 76 72 65 58 52 47 47 51 57 66 78 93 111 117 109 91 70 55 45 37 29 26 26 31 36 36 39 42 62 101 133 145 149 166 189 250 263 309 362 359 311 342 463 519 434 323 268 220 236 187 119 64 30 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 0 0 0 0 0 1 1 1 2 1 2 1 0 0 1 1 4 5 4 4 5 7 8 6 7 10 10 8 5 3 2 1 2 3 5 7 12 17 20 22 28 33 32 26 23 23 25 28 31 30 26 26 28 22 15 9 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
2 7 14 20 26 33 38 38 37 35 33 32 34 40 48 57 65 71 75 74 64 51 44 40 34 22 11 6 4 4 7 11 15 17 13 12 21 30 35 36 41 74 153 175 185 195 204 228 314 418 391 236 96 45 22 33 30 20 10 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 0 0 0 0 0 0 0 1 1 1 1 2 2 2 2 1 1 2 2 3 6 6 6 6 7 9 9 7 9 13 14 13 10 7 5 3 2 1 1 3 5 10 17 21 25 30 33 33 31 29 28 29 30 29 27 29 26 23 16 8 5 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
1 2 3 5 7 14 24 29 23 16 12 13 15 21 27 30 33 36 35 32 26 20 17 15 11 6 2 1 0 0 1 3 4 4 3 2 5 7 11 15 22 49 93 131 153 160 168 190 210 216 152 67 13 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 1 2 3 3 3 3 4 6 7 7 8 9 10 10 9 8 9 12 14 15 15 16 13 7 4 3 3 4 7 11 11 9 12 21 33 41 41 38 33 29 27 26 29 28 26 26 20 11 7 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
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