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 13 11 10 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 6 6 7 7 8 8 7 5 4 4 6 7 9 9 9 8 7 6 6 7 9 10 11 12 12 11 10 9 8 9 9 9 9 9 10 12 13 12 11 11 11 11 11 11 11 11 11 10 9 9 11 12 12 11 10 9 9 11 13 14 14 13 13 12 12 12 13 13 13 13 12 12 13 14 15 16 17 17 18 18 17 15 13 12 11 11 11 11 10 10 10 10 10 11 11 11 11 10 10 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 10 10 9 9 8 9 9 11 11 9 8 9 12 14 15 14 12 10 9 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 11 10 10 9 9 9 9 10 10 10 10 9 8 7 7 7 nan
nan 12 10 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 7 6 6 7 8 9 9 6 4 4 5 7 8 9 9 9 8 7 6 6 7 9 10 9 9 9 9 9 10 10 10 9 9 9 10 11 13 14 14 12 11 11 12 12 12 12 12 12 12 11 11 12 12 12 11 10 10 9 10 10 11 11 12 12 13 13 12 12 12 13 12 11 10 11 11 13 14 15 16 17 17 17 16 15 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 10 10 10 10 9 9 9 9 9 9 10 9 9 8 8 8 10 12 12 11 11 12 14 14 13 11 9 7 8 9 10 10 10 10 10 11 12 12 12 13 14 14 12 11 10 9 10 10 10 10 10 10 10 10 10 9 8 7 7 7 6 nan
nan 10 8 8 7 7 7 7 7 7 7 7 8 8 7 8 8 8 8 8 7 7 8 9 10 10 7 5 5 6 8 9 10 10 9 9 8 8 8 9 10 9 8 7 7 7 8 9 10 10 9 8 8 9 10 12 13 13 12 11 10 11 11 11 11 11 11 11 11 10 10 9 9 8 8 8 8 8 8 8 8 9 11 12 12 11 10 11 11 11 10 9 9 9 11 12 13 14 14 14 14 14 14 13 12 11 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 9 11 12 12 12 12 13 12 11 9 7 6 7 9 9 9 9 9 10 11 12 12 13 14 14 13 12 11 9 9 9 9 10 10 10 10 10 9 8 8 7 7 7 7 6 nan
nan 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 10 10 9 7 6 6 8 10 10 9 8 9 9 9 9 10 11 9 8 7 7 7 8 9 10 10 9 8 7 7 8 10 11 11 11 10 10 9 10 9 9 8 8 8 8 8 7 7 6 6 6 6 6 6 7 7 7 8 9 11 10 9 9 9 10 10 9 9 9 10 11 12 12 12 11 12 12 13 13 13 12 10 10 9 9 9 10 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 10 10 11 10 10 9 8 7 7 7 7 7 7 7 7 8 9 10 10 10 11 10 10 9 7 7 6 7 8 8 7 7 8 9 11 11 11 12 13 12 12 11 10 9 9 9 9 9 10 10 11 9 8 7 7 8 9 9 8 7 nan
nan 7 7 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 7 7 9 10 10 9 8 8 8 9 9 10 10 10 9 8 8 8 9 10 10 11 10 9 8 7 8 10 10 10 10 9 9 8 9 9 8 7 6 6 6 7 7 6 6 7 7 7 6 5 6 7 8 8 8 8 8 8 8 9 9 9 9 9 10 11 11 11 11 10 10 11 11 12 12 12 12 10 10 9 9 8 9 10 11 11 11 11 12 11 11 10 9 10 10 10 9 9 9 10 11 11 10 9 8 7 7 7 7 7 6 6 6 7 7 7 7 8 8 9 9 8 8 7 7 8 7 7 6 7 8 10 11 10 10 11 11 10 9 8 9 8 8 9 9 9 9 10 9 9 8 7 8 9 10 10 9 8 nan
nan 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 11 12 11 9 8 7 8 8 8 9 10 11 10 9 8 8 9 10 11 11 11 10 9 8 9 10 10 9 9 8 8 8 9 8 8 7 6 6 6 7 8 8 8 8 8 8 7 7 7 8 8 8 7 7 7 7 8 9 9 9 9 10 10 11 12 11 11 10 10 11 11 11 11 11 10 9 9 9 9 8 9 10 12 12 12 12 12 12 11 10 10 10 10 9 9 8 8 9 9 10 9 9 8 8 7 8 8 7 6 6 7 8 8 7 6 6 6 7 8 8 8 9 9 8 8 8 7 7 8 10 10 10 9 9 9 8 6 6 6 7 8 9 9 9 9 9 8 8 7 7 8 10 10 10 9 8 nan
nan 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 9 9 9 9 9 9 9 9 9 9 10 12 13 14 13 11 8 7 7 8 8 9 10 10 9 8 7 8 8 10 11 10 10 9 9 8 8 8 8 8 7 7 7 8 8 8 8 8 7 7 8 8 9 9 9 9 9 9 9 9 9 9 8 7 6 6 7 8 9 9 9 9 9 9 9 10 10 11 10 10 9 10 11 11 10 10 9 9 9 9 9 9 9 10 12 12 12 12 12 12 12 11 10 10 9 8 7 6 7 8 8 9 9 9 9 9 8 8 8 7 7 7 9 10 9 7 6 5 5 6 7 8 9 9 9 9 8 8 8 7 8 9 9 9 8 7 6 5 4 5 6 6 7 9 10 10 10 9 8 8 7 8 8 9 8 8 7 7 nan
nan 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 8 9 9 9 9 9 9 9 9 9 9 10 11 12 14 15 15 12 10 8 8 8 8 9 9 8 7 7 7 8 9 9 9 9 8 8 7 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 9 8 7 6 6 5 6 7 8 9 8 8 8 8 8 9 9 10 10 9 8 9 10 10 10 10 10 10 10 10 10 9 9 10 11 12 12 11 12 12 12 11 10 10 8 7 6 6 6 7 8 9 9 10 11 11 10 9 8 8 7 8 9 10 9 8 6 4 4 6 6 7 8 8 8 8 8 8 8 7 8 9 9 9 8 7 5 4 3 5 6 7 7 8 9 10 10 10 9 8 8 9 9 8 7 7 7 7 nan
nan 6 6 6 6 6 6 6 6 6 6 6 6 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 10 12 14 15 15 13 11 10 9 8 8 8 8 7 7 7 8 8 9 8 8 7 6 6 5 4 4 4 5 5 5 6 7 7 7 8 8 8 7 7 8 8 8 8 9 10 10 10 10 10 9 8 7 6 6 6 6 6 7 8 7 7 8 8 8 9 10 10 9 9 8 8 9 10 10 10 10 10 10 11 10 10 9 9 10 11 11 11 11 11 11 11 10 10 9 8 7 7 7 7 7 8 9 10 11 11 11 10 9 8 8 8 9 9 8 6 4 3 4 6 7 7 8 8 8 7 8 8 7 7 7 8 7 7 7 7 6 4 4 5 7 8 8 8 9 9 10 10 9 9 9 10 9 9 8 8 8 8 nan
nan 7 6 6 6 6 6 6 6 6 6 6 6 7 8 9 9 9 9 9 8 8 8 7 7 8 9 9 10 11 13 14 14 13 12 11 10 9 8 8 8 8 8 8 8 8 8 7 7 6 6 5 5 4 5 5 5 5 5 5 6 6 7 7 7 7 6 6 6 7 8 8 9 10 10 10 10 9 9 8 7 7 7 6 6 6 7 7 7 8 8 9 9 9 10 10 9 9 9 9 9 9 10 10 10 9 9 9 10 10 10 9 9 10 10 10 11 11 10 10 9 9 9 9 8 8 8 8 7 7 8 8 9 10 10 10 9 9 8 9 8 7 6 4 2 2 4 6 7 8 9 8 8 8 8 8 7 6 6 6 5 4 5 6 7 6 5 6 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 nan
nan 9 8 8 7 7 7 6 6 6 6 6 7 7 8 8 8 8 8 8 7 7 6 6 6 7 8 8 9 10 11 11 12 12 12 11 10 9 9 9 9 9 8 8 7 7 7 6 6 6 6 6 6 6 6 7 6 5 5 4 4 5 6 7 7 6 6 7 8 8 8 9 10 10 10 10 10 9 9 8 8 8 7 6 6 7 7 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 8 8 8 9 10 9 9 9 9 9 10 10 9 8 8 8 8 8 9 9 9 9 9 8 8 7 8 9 9 9 9 8 8 8 7 7 5 4 2 3 4 5 6 8 9 9 9 10 9 8 7 6 6 5 4 4 5 7 8 8 6 6 7 9 11 10 9 9 9 10 10 10 9 8 9 9 10 10 10 10 nan
nan 10 10 9 9 8 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 5 5 5 6 7 7 8 8 8 9 10 10 11 11 11 10 9 8 8 8 8 7 6 6 6 6 7 7 7 7 7 7 7 8 8 7 6 5 5 4 5 5 6 6 7 8 9 9 10 10 10 11 11 11 11 10 10 10 9 9 8 7 6 6 7 7 8 8 9 9 9 9 8 8 8 9 9 8 8 7 7 7 8 9 8 8 7 7 7 8 9 9 9 9 9 9 10 9 8 8 7 7 8 9 10 10 10 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 7 7 8 9 10 10 10 9 8 8 8 7 6 6 7 8 10 8 6 5 6 9 11 11 9 8 8 8 9 8 6 6 6 6 7 7 8 9 nan
nan 9 10 10 10 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 5 5 6 6 6 7 7 7 8 8 9 9 10 10 10 9 9 8 8 8 7 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 7 6 6 6 6 7 7 7 8 9 10 11 10 10 10 11 11 11 10 10 10 10 10 9 9 8 7 6 7 7 8 9 10 9 8 8 8 8 8 9 9 8 8 7 7 7 8 8 8 8 7 6 6 7 8 9 9 9 9 10 10 10 9 8 8 8 8 8 9 9 9 10 10 10 10 9 8 8 7 8 9 9 8 7 8 8 8 9 9 9 8 8 9 9 9 9 8 8 8 9 9 10 9 8 7 7 8 8 7 6 5 6 9 11 11 9 7 6 6 6 5 4 4 4 4 4 5 5 6 nan
nan 9 9 10 10 10 9 8 8 8 7 7 7 6 6 6 6 7 7 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 9 9 9 9 9 8 7 6 6 6 6 6 6 7 6 6 7 8 8 8 8 9 9 8 7 7 7 8 9 9 9 9 10 11 10 9 8 9 10 10 10 10 10 10 10 10 9 9 8 8 7 7 6 7 8 9 8 7 7 7 7 8 8 9 9 8 8 8 8 9 9 9 8 7 7 7 7 8 9 9 10 9 9 9 9 9 9 9 8 8 8 8 9 9 10 10 10 9 9 8 8 8 9 9 9 9 8 8 8 9 10 10 10 10 10 10 10 9 8 8 7 8 9 10 10 10 9 8 7 7 6 6 6 6 6 9 10 10 7 5 4 5 5 4 4 4 4 4 4 4 4 4 nan
nan 8 9 9 10 10 9 8 8 8 8 8 7 7 6 6 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 8 8 9 10 8 7 6 6 7 7 7 7 7 7 6 7 7 8 8 9 10 10 8 7 7 7 8 9 10 10 10 10 10 8 6 6 7 8 9 9 10 10 10 10 10 10 10 9 8 7 7 6 6 6 7 7 7 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 10 10 10 9 9 9 9 10 10 9 8 8 8 8 9 10 10 9 9 9 9 8 8 9 9 10 9 9 8 8 9 10 10 10 10 10 10 10 9 9 8 8 8 9 10 10 9 9 8 7 7 6 6 6 7 7 8 9 8 6 3 2 3 3 3 3 4 5 5 5 5 5 5 nan
nan 8 8 8 9 10 10 9 9 9 9 9 8 8 8 7 7 8 8 9 9 9 8 7 7 6 6 6 6 6 6 6 6 6 7 7 8 9 10 8 7 7 7 7 7 7 7 7 7 6 6 6 7 8 9 9 9 8 7 6 7 7 8 9 10 10 10 9 7 5 6 7 8 9 9 9 10 10 10 10 10 10 11 10 9 7 6 5 6 6 7 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 9 9 8 8 9 10 10 9 8 8 8 9 10 11 10 9 8 8 8 8 8 8 8 9 9 9 8 8 8 9 9 10 9 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 5 3 1 1 1 2 3 4 5 5 6 6 6 7 nan
nan 8 8 8 9 10 10 11 10 10 10 10 10 9 9 8 8 9 10 10 11 10 9 8 8 7 7 6 6 6 6 7 7 7 8 8 9 9 9 8 8 7 7 7 7 7 8 8 8 7 6 6 7 8 9 10 9 8 7 6 7 7 8 9 9 10 10 8 7 6 7 8 8 8 8 8 8 8 8 8 9 10 11 11 10 8 7 5 5 6 7 8 8 9 8 8 8 9 9 10 10 11 11 11 10 10 10 9 9 8 8 9 9 10 10 9 8 7 8 9 10 10 10 10 9 8 8 8 8 8 8 9 9 9 9 8 8 8 8 9 9 9 8 8 8 8 9 8 9 9 9 9 9 9 8 8 9 9 9 10 11 12 12 11 11 11 10 9 8 8 8 7 5 3 2 1 1 2 3 4 5 5 6 6 6 7 nan
nan 9 9 9 10 11 12 12 11 11 11 11 11 10 10 9 9 9 10 10 10 10 9 8 9 8 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 8 7 6 7 8 9 9 9 8 7 8 9 11 12 10 8 7 7 8 9 9 8 9 9 8 8 7 7 8 8 8 8 8 8 7 6 6 7 9 9 10 9 9 8 6 4 4 4 6 7 7 8 8 8 8 8 9 10 11 11 12 11 11 10 10 9 8 8 8 9 9 10 9 8 8 7 8 8 9 10 10 10 9 9 8 8 8 8 8 9 9 9 8 8 7 7 7 8 9 9 9 8 8 8 8 8 9 9 10 10 10 9 9 9 9 10 10 11 12 13 13 12 12 11 11 10 9 8 7 6 5 4 3 3 3 3 4 4 3 4 5 5 6 7 nan
nan 10 10 10 11 12 12 12 12 12 12 12 12 11 10 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 8 8 9 10 10 10 9 9 9 9 9 8 6 7 8 9 10 10 10 10 10 10 11 12 13 12 10 10 10 10 10 10 9 8 8 7 7 7 8 8 8 8 9 9 8 7 6 6 7 9 10 9 8 7 6 5 4 4 4 4 5 6 7 8 8 9 9 9 10 11 11 12 12 12 11 10 9 8 8 9 9 10 10 9 9 8 8 9 9 9 10 10 9 9 9 9 9 9 8 8 8 7 7 7 7 7 6 7 8 9 9 8 8 7 7 7 8 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 9 8 7 6 5 5 4 5 5 5 5 4 4 4 4 5 6 7 nan
nan 11 11 12 12 12 12 12 12 12 12 13 13 12 11 10 9 8 7 7 8 9 9 10 10 9 9 8 7 7 7 8 9 10 11 11 10 9 9 9 9 8 7 7 8 9 9 9 10 10 10 10 11 12 12 13 13 13 13 12 12 11 11 10 8 8 7 7 7 8 8 8 9 9 9 8 7 6 6 8 10 11 10 8 6 6 6 6 6 5 4 4 5 5 6 7 8 9 9 10 10 11 11 11 12 12 11 10 10 9 10 10 11 10 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 8 7 7 7 6 6 7 7 7 7 7 8 8 7 7 7 7 8 8 9 9 9 9 9 10 10 10 10 9 10 10 10 10 10 10 10 10 11 11 10 9 8 8 7 6 5 5 5 6 7 6 5 5 5 6 7 7 nan
nan 11 11 12 12 12 12 12 12 12 13 13 13 12 10 9 8 6 6 6 7 8 9 9 9 9 8 7 7 7 7 8 9 10 11 11 10 10 9 9 8 7 6 8 9 9 9 9 9 10 10 10 11 11 12 12 13 14 14 15 14 12 10 9 7 7 7 7 7 8 8 8 9 9 8 8 7 7 8 9 10 11 10 9 7 7 7 7 7 7 6 5 5 5 4 5 6 7 8 9 9 10 11 11 11 11 11 10 9 9 9 10 11 11 9 9 9 10 10 10 10 10 10 9 9 10 10 10 9 9 8 8 7 7 6 7 7 7 7 7 7 6 6 6 7 7 8 9 9 9 9 9 9 9 9 10 9 9 9 10 9 9 10 10 10 10 10 11 10 10 9 9 9 8 7 5 5 6 7 8 8 7 7 7 7 7 nan
nan 10 10 10 10 10 10 10 11 12 12 13 12 11 9 8 7 6 5 6 6 7 8 8 8 8 7 7 7 7 7 8 9 10 11 11 10 10 10 10 9 7 7 8 8 8 8 8 9 10 10 10 11 12 13 13 13 14 14 14 14 12 9 8 7 6 7 7 8 9 9 9 9 9 8 8 8 9 10 10 11 11 10 9 9 8 8 8 8 8 8 7 6 5 4 4 5 6 7 8 8 9 10 11 11 10 10 9 8 8 9 11 11 11 10 9 9 9 8 9 9 9 9 9 10 10 10 10 10 10 9 9 8 7 7 7 7 8 7 7 6 6 6 6 6 8 9 9 9 8 9 9 10 10 10 11 11 11 11 10 9 9 9 9 10 9 9 9 9 9 9 9 10 10 8 7 6 6 8 8 9 9 9 8 8 8 nan
nan 9 9 8 8 7 7 8 9 10 10 10 10 9 9 9 8 6 6 6 7 7 8 8 7 7 7 7 7 7 7 8 9 10 11 10 10 10 10 10 9 8 7 8 7 7 7 8 9 10 10 11 11 12 13 14 14 14 14 14 13 11 9 8 7 7 7 8 9 10 10 10 9 9 8 8 9 10 11 11 11 10 9 9 9 9 9 9 8 8 8 8 8 7 6 5 5 6 7 8 8 8 8 9 9 9 9 8 8 8 9 10 11 11 10 10 9 8 8 8 9 9 9 9 10 10 11 11 10 10 9 9 9 8 8 8 8 8 8 7 6 6 6 7 7 8 9 9 9 9 10 11 12 12 13 13 14 14 13 12 11 10 10 10 10 10 10 9 8 8 8 9 9 9 9 8 7 7 7 8 8 9 10 9 9 8 nan
nan 8 7 6 5 5 5 5 6 7 8 8 8 8 9 9 8 7 7 7 7 7 7 7 7 7 7 8 7 7 8 8 9 10 11 11 10 10 10 9 9 8 8 7 7 7 8 9 10 10 10 10 11 11 11 12 13 13 13 13 12 10 9 8 8 8 9 10 11 11 11 10 9 8 8 8 8 8 9 10 10 9 8 8 9 9 9 8 8 8 8 8 8 7 6 6 5 6 7 8 8 8 8 8 7 8 8 8 7 8 8 9 9 9 10 10 9 8 8 8 9 9 9 9 10 10 11 11 11 10 10 9 9 9 9 9 9 8 8 7 7 7 7 8 8 9 9 10 10 10 11 12 13 13 14 14 14 14 14 13 12 12 11 12 12 12 12 11 9 9 9 9 9 9 9 8 8 7 7 7 7 8 9 9 9 9 nan
nan 8 6 5 4 4 4 4 4 5 5 6 7 7 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 10 10 11 12 11 10 9 9 8 8 8 7 7 7 8 9 10 10 10 10 10 10 10 11 11 12 12 12 11 9 8 8 9 10 10 11 11 10 10 9 8 8 7 7 6 6 7 8 9 8 8 8 9 9 8 8 8 8 8 8 8 8 7 6 6 6 7 8 9 9 8 8 7 8 8 8 8 7 7 7 8 8 9 9 9 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 8 7 7 7 7 8 9 9 10 10 11 11 12 12 12 12 12 13 13 13 12 12 11 11 10 11 12 13 13 13 12 12 12 11 10 10 9 9 8 8 7 7 7 7 7 8 9 8 nan
nan 8 6 6 5 4 4 4 4 4 5 5 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 10 11 12 12 12 10 9 8 7 7 7 7 7 7 8 9 9 9 9 8 8 8 9 9 10 10 11 11 10 9 8 8 9 10 11 11 10 9 8 8 8 8 7 6 6 6 6 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 6 6 7 8 9 9 8 7 7 8 9 9 8 7 6 6 7 8 8 8 8 8 8 8 8 8 9 9 9 8 8 9 9 10 10 10 10 10 9 9 9 9 8 8 7 7 8 9 11 11 11 12 12 13 13 12 11 11 11 11 11 11 11 10 10 9 9 10 11 12 13 13 14 15 15 14 13 11 10 9 9 9 9 8 7 7 7 7 8 7 nan
nan 8 7 6 6 5 5 4 4 4 4 5 5 5 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 9 10 11 12 13 12 11 10 8 7 6 6 7 7 7 7 8 9 9 9 8 8 8 8 8 8 9 10 10 10 9 9 9 9 9 10 10 10 9 8 7 7 8 8 8 7 6 6 7 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 6 6 7 9 9 9 8 7 7 7 8 9 9 9 7 7 7 7 8 8 8 8 8 7 7 8 8 9 9 8 8 8 8 9 10 10 10 9 9 9 9 9 9 8 7 7 9 11 12 12 12 12 12 13 12 11 10 10 10 10 11 10 10 9 9 9 9 10 10 11 11 12 13 14 16 15 14 12 11 10 10 10 10 9 8 8 8 8 8 8 nan
nan 8 8 7 7 6 6 6 5 5 5 5 6 6 6 6 7 6 6 6 6 7 7 7 8 8 8 8 8 8 9 10 11 12 13 12 11 9 8 7 6 6 7 6 7 7 8 9 9 9 8 8 7 7 8 8 9 9 9 9 9 10 11 10 10 9 9 9 9 8 8 8 8 9 9 8 7 7 7 8 8 9 9 9 9 8 8 8 8 8 8 8 7 8 7 7 6 6 7 8 9 10 9 8 8 7 8 9 9 10 9 8 7 7 8 8 8 8 7 7 7 7 8 9 9 8 8 8 8 8 9 10 10 9 9 9 9 9 9 8 8 9 11 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 11 12 13 14 14 14 12 11 10 10 10 10 10 10 9 9 9 9 9 nan
nan 10 9 9 8 7 7 6 6 6 7 7 7 7 7 7 8 8 7 6 6 7 7 8 9 9 9 9 9 9 9 10 11 12 12 12 10 9 7 6 6 6 6 6 6 7 9 9 9 8 7 7 7 7 8 8 8 9 9 9 10 10 11 10 8 7 7 7 8 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 8 8 9 9 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 8 7 7 7 8 8 8 7 7 7 7 8 8 8 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 11 12 12 12 11 11 10 11 11 10 10 10 9 9 10 9 9 9 9 9 9 10 10 10 10 10 11 11 12 12 13 13 12 11 11 10 9 9 9 9 9 9 9 9 9 nan
nan 11 11 11 10 10 9 8 8 8 8 8 8 8 8 8 9 9 8 7 7 7 8 9 9 10 10 10 10 9 9 10 11 11 12 11 10 8 7 7 7 7 7 6 6 7 8 9 8 8 7 7 7 7 7 7 8 9 9 9 10 10 9 8 7 6 6 7 8 9 9 8 8 8 9 9 9 10 10 10 9 9 9 9 9 8 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 7 7 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 9 8 9 10 11 12 11 11 10 10 10 10 11 11 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 12 12 12 12 11 10 9 8 8 8 8 8 8 8 8 nan
nan 12 12 12 12 12 11 11 10 10 9 9 9 9 9 9 9 9 8 8 7 7 8 9 9 9 9 9 10 10 10 10 11 11 11 10 9 8 7 7 8 8 8 6 6 7 8 8 8 8 8 8 7 7 7 7 8 8 9 9 9 9 8 7 7 7 7 8 9 9 8 7 6 7 8 9 10 11 11 11 11 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 10 10 10 9 9 9 9 9 9 9 8 8 9 10 10 11 11 10 10 9 9 10 10 10 11 11 10 10 9 9 9 9 8 8 9 9 9 9 10 10 10 10 10 10 10 10 11 11 12 12 12 10 7 7 6 7 7 7 7 7 nan
nan 11 12 12 13 13 13 12 12 11 10 10 9 9 9 9 8 8 8 7 7 8 8 9 10 9 9 8 9 9 10 11 11 11 10 9 9 8 8 8 8 9 8 7 6 6 7 7 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 7 6 7 8 9 10 10 11 11 10 10 9 9 9 10 10 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 10 10 10 10 10 9 9 8 8 8 8 8 8 9 10 10 10 10 9 9 9 9 9 10 10 10 11 10 10 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 12 13 11 9 7 6 5 6 6 7 7 nan
nan 10 10 10 11 11 11 11 12 11 11 10 9 9 9 8 8 8 7 7 7 8 8 9 10 10 8 7 7 8 9 10 11 11 10 9 9 9 8 8 8 8 8 8 7 6 6 7 7 8 7 7 7 7 7 7 7 8 8 8 8 8 9 9 10 9 9 8 8 8 7 7 7 8 9 10 10 9 9 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 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 10 10 10 10 9 9 9 9 9 8 9 9 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 9 10 12 13 12 10 9 7 5 5 6 6 6 nan
nan 8 8 8 8 8 9 9 10 10 10 9 8 8 8 8 7 7 7 6 7 7 8 9 10 9 8 7 7 8 9 10 11 11 10 9 9 9 9 8 8 8 9 9 8 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 10 10 9 8 8 8 8 8 8 9 10 10 9 8 7 7 7 7 8 8 8 8 8 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 6 6 7 7 8 8 8 8 9 10 10 10 10 10 9 9 10 11 11 11 11 11 10 10 9 8 8 9 9 8 8 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 11 12 12 12 11 9 7 6 6 6 7 nan
nan 7 7 6 6 6 7 7 8 9 9 9 8 8 8 8 7 6 6 6 7 7 8 9 10 8 7 7 7 8 10 10 11 11 10 9 9 9 9 9 8 8 9 10 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 10 10 9 9 9 9 9 9 9 9 9 8 7 7 7 7 7 8 8 8 8 9 9 8 8 8 8 9 9 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 9 10 10 10 9 9 10 10 11 12 12 12 12 11 10 9 9 9 9 9 9 8 8 8 9 9 9 10 10 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 10 11 11 12 12 11 9 8 7 7 7 nan
nan 6 6 6 6 6 6 6 7 7 7 7 7 8 9 9 9 7 6 6 7 7 8 9 9 8 6 6 8 9 10 11 11 11 11 10 9 9 9 9 8 8 9 10 9 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 8 7 7 6 6 7 8 8 8 8 8 9 9 9 8 7 7 8 8 9 9 8 7 7 7 7 8 8 8 7 7 8 8 8 9 9 9 8 8 8 8 7 7 7 7 6 7 7 7 7 8 9 10 10 10 9 10 10 11 11 11 11 11 11 10 9 9 9 9 9 9 9 8 8 8 8 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 12 13 13 12 10 8 8 8 nan
nan 5 6 6 6 6 6 6 6 6 6 7 7 8 9 9 9 9 8 7 7 8 8 9 10 8 6 6 8 10 11 11 12 12 11 11 10 9 9 9 8 8 8 9 9 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 9 8 7 6 6 6 7 8 8 8 9 9 10 9 8 7 7 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 7 7 7 7 7 7 7 8 9 9 10 10 10 10 11 11 11 12 11 11 10 10 9 8 8 8 8 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 12 13 14 13 12 9 8 8 nan
nan 5 6 6 6 6 7 7 7 7 7 7 7 8 8 8 9 9 9 8 8 8 9 10 10 8 6 6 8 10 12 12 12 12 12 12 10 10 10 9 8 8 8 8 8 8 8 8 7 7 7 8 8 8 7 7 7 7 7 7 8 8 8 8 9 9 9 8 9 9 10 10 9 8 7 7 7 8 8 8 8 9 9 10 10 10 9 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 7 7 7 7 7 7 8 9 9 9 10 10 11 11 12 11 11 11 11 10 9 8 8 8 8 8 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 13 15 15 13 11 9 8 nan
nan 5 6 6 6 6 7 7 7 8 7 8 8 8 8 8 8 8 8 7 7 8 9 10 10 9 7 7 9 11 12 12 12 12 12 12 11 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 10 10 9 9 8 9 9 9 8 8 9 9 10 11 11 10 9 10 10 10 9 8 8 8 9 9 9 8 8 8 8 9 9 9 9 9 8 8 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 8 8 9 10 11 12 12 11 11 11 11 10 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 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 10 13 14 15 15 14 12 10 nan
nan 5 5 6 6 6 6 7 7 8 8 9 9 9 9 8 8 9 8 7 7 7 8 10 11 9 8 8 10 11 13 13 13 12 12 11 11 11 10 9 9 9 10 10 9 9 9 9 8 8 8 8 8 8 8 8 7 7 8 8 9 9 9 9 9 10 9 9 9 10 10 10 10 9 9 9 9 9 9 8 9 10 11 11 11 10 9 9 9 9 9 8 8 9 9 9 8 8 8 8 9 9 9 9 9 8 8 8 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 8 10 11 12 12 11 10 11 10 10 9 9 8 8 8 8 9 9 9 9 9 9 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 10 9 9 9 9 10 10 12 13 14 15 15 14 13 nan
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nan 10 10 9 9 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 11 13 15 16 16 16 15 14 14 13 12 12 13 13 14 13 12 11 11 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 9 9 9 9 9 9 9 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 9 10 10 9 8 7 7 7 7 6 5 3 1 1 2 5 8 9 10 10 10 10 9 9 8 9 9 10 10 9 8 8 9 10 11 12 11 9 7 4 3 4 5 7 8 10 12 12 11 9 9 9 9 8 6 5 6 8 9 9 8 8 7 7 8 8 9 11 12 13 14 nan
nan 10 10 9 8 8 8 9 9 9 9 8 8 8 9 9 10 10 10 10 10 11 12 13 14 15 15 14 13 12 12 12 11 11 11 12 12 12 12 12 12 11 10 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 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 10 11 10 9 7 7 7 7 6 5 3 1 -0 0 3 8 9 10 10 10 10 9 9 8 8 9 11 11 10 9 9 9 11 13 14 14 12 11 8 5 4 4 5 6 8 10 10 10 9 9 9 9 8 6 6 7 9 11 10 10 9 9 9 9 9 10 11 12 14 14 nan
nan 11 10 9 8 8 8 9 9 9 9 8 8 9 10 10 10 10 10 11 11 11 12 13 14 14 13 12 12 11 11 11 11 10 10 11 12 12 12 12 11 10 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 7 8 9 10 10 10 10 9 9 8 8 8 8 10 12 12 10 8 7 7 7 6 6 4 2 0 -1 2 6 9 10 10 10 10 10 9 8 8 9 10 11 11 10 9 10 11 12 13 14 15 15 13 9 7 6 5 6 7 8 9 9 9 9 9 9 8 7 6 6 9 11 11 11 10 10 10 9 9 9 10 12 13 13 nan
nan 11 10 9 9 9 9 9 9 9 9 8 9 10 10 10 10 10 11 11 12 12 12 12 13 13 12 11 11 10 10 10 10 10 10 10 11 12 12 11 10 9 9 9 9 10 10 10 11 11 11 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 11 11 10 10 9 9 9 9 10 10 10 10 10 10 10 9 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 9 10 10 10 10 9 9 9 9 9 9 11 13 13 12 9 7 7 7 7 7 6 4 1 -1 1 5 8 9 9 9 10 10 10 9 9 9 10 10 10 10 10 10 10 11 11 13 15 17 16 14 11 9 8 7 8 9 9 9 9 9 9 8 8 6 4 4 6 8 10 11 10 9 9 9 9 9 10 11 12 12 nan
nan 11 10 10 9 9 9 9 9 9 8 8 9 10 10 10 11 11 12 12 12 12 12 11 11 11 11 10 10 9 9 9 10 10 10 11 11 11 11 10 9 9 9 10 10 11 12 12 12 12 12 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 9 9 10 10 10 10 10 10 9 9 9 9 10 10 11 11 10 9 9 9 9 9 8 8 8 9 9 10 11 10 10 9 9 9 9 9 9 10 13 14 14 11 8 8 7 7 7 7 6 3 0 1 4 7 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 14 17 17 17 15 12 9 9 9 9 9 9 9 9 8 8 7 6 3 2 3 6 9 9 8 8 8 8 9 9 9 10 10 10 nan
nan 11 11 10 10 10 9 9 8 8 8 8 9 9 10 10 12 13 13 13 12 11 11 10 10 10 10 9 9 8 8 8 9 10 11 11 11 10 9 9 8 9 9 10 11 12 13 13 13 13 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 9 9 10 10 10 10 10 10 9 9 9 9 10 11 11 11 10 9 10 10 10 10 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 10 13 15 15 13 9 8 8 8 8 7 7 5 2 0 2 6 9 9 9 9 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 11 13 15 16 16 14 11 10 9 9 9 9 9 8 8 8 7 7 5 2 2 4 8 9 9 8 8 9 9 7 6 4 4 6 nan
nan 12 12 11 10 10 9 9 8 8 8 9 9 9 10 11 12 13 13 13 12 11 10 10 10 10 10 9 8 8 8 8 10 10 10 10 10 9 8 8 8 8 9 10 11 12 13 14 13 13 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 9 9 10 10 10 10 11 10 10 9 9 9 9 10 11 11 10 9 9 9 10 10 10 10 9 9 10 10 10 10 10 9 9 9 9 9 9 10 11 12 15 16 14 11 9 8 8 8 8 7 6 2 -0 0 3 7 9 9 9 9 9 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 12 14 16 15 12 10 9 9 9 9 8 8 8 8 8 8 6 4 3 3 6 9 10 9 8 8 7 4 1 -1 0 3 nan
nan 13 12 12 11 10 9 9 8 8 8 9 9 10 10 11 12 12 12 12 11 10 10 10 10 10 10 10 9 8 8 9 10 10 10 9 9 8 7 7 8 8 9 10 11 12 12 13 12 12 12 11 11 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 11 11 11 11 10 10 10 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 8 8 8 9 9 10 13 16 15 13 10 9 8 8 8 8 7 3 -1 -1 1 6 8 9 8 8 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 11 13 15 14 12 11 10 10 9 9 8 8 8 8 8 8 8 6 3 2 4 7 9 8 6 6 5 4 2 0 0 2 nan
nan 13 12 11 11 10 9 9 9 9 9 9 10 10 11 11 11 11 11 10 10 10 10 10 10 10 11 11 10 9 9 9 9 9 8 8 7 7 7 8 9 9 9 9 10 10 11 11 11 11 11 11 11 10 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 10 11 11 11 11 10 10 9 9 9 10 10 10 9 9 8 8 8 8 8 8 8 8 8 9 9 10 10 10 9 9 10 9 9 9 9 8 7 6 8 11 14 14 13 10 9 8 8 8 7 4 0 -1 -0 4 8 9 9 8 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 12 14 14 14 12 11 10 10 10 9 9 8 8 8 8 8 8 7 4 3 3 6 7 7 5 4 5 6 5 4 3 4 nan
nan 12 11 10 10 9 9 9 9 9 9 10 10 10 11 11 11 10 10 10 10 10 10 10 9 10 10 10 10 9 8 9 9 8 8 7 7 7 8 9 9 10 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 11 11 11 10 9 9 9 10 11 11 10 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 9 9 11 13 11 8 6 7 9 13 14 13 11 9 8 8 7 5 1 -1 -2 1 5 7 8 7 5 6 8 10 10 9 9 9 9 9 9 10 10 11 11 11 12 14 14 13 12 11 11 11 10 10 9 9 9 9 9 9 8 8 6 4 4 5 7 8 7 6 6 7 7 5 4 4 nan
nan 10 10 9 9 8 8 8 8 9 9 10 10 11 11 11 11 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 9 8 8 7 7 7 8 9 10 10 9 9 8 8 8 9 9 10 10 10 10 10 9 9 9 9 9 8 8 9 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 9 9 9 10 11 11 10 9 9 9 8 8 8 8 9 9 8 8 8 8 8 8 9 10 10 10 10 10 10 12 15 16 15 11 7 5 9 13 15 14 11 9 8 8 6 4 0 -2 -2 1 3 4 3 2 4 7 10 10 9 9 9 9 9 9 10 10 11 11 11 12 14 14 13 12 11 11 11 11 11 10 10 10 9 9 9 9 8 7 7 6 6 7 8 8 8 8 8 8 6 5 5 nan
nan 11 10 9 9 8 8 8 8 8 9 10 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 8 8 7 8 8 8 8 8 7 7 7 8 9 9 9 9 9 8 8 8 9 9 9 10 9 9 9 9 10 10 10 9 8 8 8 9 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 8 8 8 8 9 9 9 9 9 8 8 8 8 9 10 11 11 11 11 11 13 15 17 17 11 5 6 10 15 16 13 10 9 8 7 6 4 0 -2 -1 1 1 0 0 3 7 10 9 9 9 9 9 9 10 10 10 10 10 11 13 15 15 13 11 11 11 11 12 11 11 11 11 10 10 9 8 8 8 9 9 9 8 8 8 9 9 9 9 8 7 8 nan
nan 13 12 11 10 9 9 9 8 8 9 10 11 11 12 12 12 11 11 10 9 9 9 9 9 9 9 9 9 8 8 7 8 8 8 8 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 8 8 8 9 9 9 10 11 11 11 12 12 12 11 10 9 9 9 10 9 9 9 9 9 9 9 10 10 9 9 8 8 8 9 8 8 8 8 8 9 9 9 9 8 8 8 8 8 9 10 10 11 11 11 11 11 13 17 20 17 10 7 7 11 13 13 11 9 9 8 7 6 4 2 2 2 -0 -2 -1 1 5 8 9 9 9 9 9 10 10 10 10 10 9 9 10 13 13 12 11 11 11 12 12 12 12 12 11 11 10 9 7 6 6 8 9 9 9 8 9 9 10 10 9 9 8 9 nan
nan 16 14 13 11 10 10 9 9 9 9 10 10 11 11 11 11 11 11 10 10 9 9 9 10 10 10 10 10 10 9 8 7 7 8 8 8 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 9 9 8 8 8 8 8 8 9 10 11 11 12 12 11 11 10 9 9 9 9 9 9 9 9 9 9 10 10 10 9 8 8 8 9 9 9 8 8 8 8 9 9 9 8 8 7 7 8 8 9 9 10 10 11 11 11 11 12 17 21 21 16 11 7 8 10 10 10 10 9 9 8 8 7 6 5 4 1 -2 -3 -3 -1 3 6 8 9 9 9 10 10 11 11 10 8 6 6 9 10 11 11 11 11 12 12 12 12 12 12 12 11 9 7 5 4 5 7 8 8 8 9 9 10 10 11 11 10 9 nan
nan 18 15 13 12 11 11 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 8 8 8 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 8 8 8 8 9 10 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 9 8 7 8 9 9 9 9 8 9 9 9 9 9 9 8 8 8 8 8 8 9 9 10 10 10 11 11 11 14 18 20 20 18 13 9 9 8 9 9 9 9 9 9 9 8 8 7 4 1 -2 -5 -6 -2 3 7 9 9 9 9 9 9 9 9 7 5 6 8 9 10 11 11 11 12 12 12 12 12 13 13 13 11 9 6 5 6 6 7 7 8 8 9 10 11 13 13 13 12 nan
nan 18 16 14 13 12 11 11 11 10 10 10 10 9 9 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 11 12 12 11 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 10 10 9 9 9 8 8 9 10 11 11 11 11 10 10 9 9 9 9 9 9 9 8 8 9 10 10 10 9 8 8 8 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 13 16 19 22 20 16 13 11 10 10 10 10 10 10 9 9 9 8 7 5 2 -3 -6 -5 -1 4 8 8 7 7 6 6 6 6 6 7 8 9 10 11 11 11 11 11 12 12 12 13 14 16 17 16 14 12 10 8 7 7 7 8 8 10 12 14 15 15 14 13 nan
nan 18 16 15 14 12 12 11 11 11 11 11 11 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 10 10 11 13 14 14 13 12 11 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 11 11 10 10 10 10 9 9 10 10 9 9 8 7 7 8 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 13 17 22 23 22 21 19 17 15 14 14 13 11 10 10 10 9 9 8 6 2 -3 -5 -4 0 4 6 5 4 2 2 3 5 6 8 9 10 11 11 10 10 11 12 13 13 14 14 15 17 18 18 17 15 13 10 9 8 8 8 9 11 13 15 15 14 13 12 nan
nan 17 15 14 14 13 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 9 9 9 9 10 12 14 15 15 15 14 13 12 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 11 11 11 10 10 10 9 9 10 10 10 10 9 7 7 7 8 9 10 10 10 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 11 11 11 11 12 15 19 22 23 24 24 23 22 21 20 17 14 13 12 12 11 10 10 9 6 1 -3 -5 -2 2 4 5 4 2 3 4 5 8 10 11 12 12 11 11 12 13 13 14 15 14 13 12 13 14 14 14 13 12 11 10 10 10 11 11 12 13 14 14 13 12 11 nan
nan 17 15 14 14 13 11 11 11 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 14 15 16 16 15 14 13 12 11 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 9 7 7 8 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 12 14 15 17 20 21 21 22 23 24 23 20 19 18 19 17 15 13 12 11 8 6 3 4 7 9 11 10 9 8 8 9 12 14 15 15 13 11 11 11 12 11 11 10 10 7 5 6 8 11 13 13 13 13 13 14 15 16 16 14 14 13 13 12 11 11 nan
nan 18 16 16 15 14 12 11 11 10 9 9 9 8 9 9 10 10 10 11 11 10 10 10 10 10 10 10 10 11 12 12 13 15 16 16 16 15 14 13 12 11 11 10 10 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 10 9 9 9 9 9 10 10 10 10 9 8 8 9 9 9 9 10 10 10 10 10 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 11 11 11 11 12 14 15 15 17 20 24 25 24 23 24 26 26 24 21 19 17 17 17 16 16 16 17 18 18 16 15 14 14 14 14 14 14 12 9 7 7 7 6 5 5 4 4 3 4 7 12 16 18 18 18 18 19 19 19 18 16 14 13 12 11 11 10 nan
nan 19 17 16 15 14 13 12 11 10 9 8 8 8 8 9 9 10 10 11 11 11 11 11 11 10 10 10 10 11 12 13 14 16 16 15 15 14 13 13 12 11 11 10 10 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 10 10 9 9 10 11 10 10 9 9 9 9 9 8 9 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 9 9 9 9 9 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 15 18 21 20 20 21 24 27 27 26 24 21 19 18 18 18 18 18 18 18 17 17 16 14 12 11 11 11 10 8 7 8 9 9 8 8 8 9 9 10 12 14 16 18 18 20 20 19 18 17 15 14 13 12 11 11 10 10 nan
nan 20 17 15 14 13 12 12 11 10 9 9 9 9 9 9 9 9 10 11 12 12 12 12 11 11 10 10 10 11 12 13 14 15 15 15 14 13 12 12 11 11 10 10 10 9 9 9 10 10 10 10 10 11 11 12 11 11 11 11 10 10 9 9 10 11 10 10 9 10 10 9 8 7 7 8 9 9 9 8 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 13 13 13 13 14 16 18 20 20 20 18 16 14 14 14 14 15 15 14 14 13 14 14 13 13 14 16 16 14 14 14 16 17 18 17 16 16 15 14 13 13 13 13 14 14 15 14 13 12 11 11 10 10 10 10 11 10 nan
nan 20 18 14 13 11 10 10 10 10 10 10 10 9 9 9 9 10 10 11 12 13 13 13 12 11 11 10 10 10 11 12 13 14 15 14 14 13 12 11 11 10 10 10 10 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 9 9 10 10 10 9 9 10 11 10 8 7 7 7 8 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 11 12 12 13 13 12 12 11 11 12 12 13 13 13 12 13 14 15 15 17 19 20 19 17 16 17 18 19 19 17 16 14 13 12 11 11 11 11 11 10 10 10 9 9 9 9 9 9 10 11 12 nan
nan 21 18 14 13 12 10 10 9 9 10 10 10 10 9 9 9 10 10 11 12 12 13 12 12 11 11 11 11 11 11 11 12 13 14 14 14 13 12 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 11 10 10 10 10 10 9 9 10 11 12 10 8 7 6 6 8 8 9 9 9 9 9 9 9 9 9 9 10 10 9 9 10 10 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 10 9 8 7 7 7 7 8 9 10 9 9 9 9 10 10 10 10 11 11 10 9 9 10 11 13 13 13 12 13 13 13 15 16 16 15 14 13 13 13 13 13 12 12 11 10 10 10 10 10 10 10 9 9 9 8 8 8 8 9 9 9 10 12 nan
nan 22 18 15 14 12 11 10 10 10 10 10 10 10 10 9 9 10 10 11 11 12 12 12 12 11 11 11 11 11 11 11 12 12 13 14 14 13 12 11 10 10 9 9 10 10 10 10 10 10 10 11 11 11 11 11 10 9 9 10 11 11 11 12 11 10 9 9 10 11 12 11 9 7 7 7 7 8 9 10 10 10 9 9 9 9 9 10 10 9 8 8 8 8 7 7 7 8 9 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 12 13 12 11 10 8 6 3 2 1 2 3 5 6 8 8 9 8 8 8 9 10 11 11 10 7 5 4 6 10 12 12 11 11 11 10 10 11 11 10 10 10 10 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 10 nan
nan 23 19 17 15 13 12 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 13 13 13 12 11 10 9 9 9 9 10 10 10 11 10 10 10 11 11 11 10 10 9 9 9 10 11 12 12 12 11 10 9 10 10 11 10 9 8 8 8 8 9 9 10 10 8 7 7 7 7 8 10 11 10 8 7 6 5 3 2 2 3 5 8 9 10 11 11 11 12 11 11 11 10 10 10 9 9 10 10 11 12 13 15 14 13 10 8 6 3 1 -1 -2 -2 -1 1 3 5 6 6 5 5 6 8 12 13 11 6 1 -2 1 6 10 11 11 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 nan
nan 22 19 17 15 14 13 12 11 11 11 11 11 10 10 10 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 13 11 10 9 8 9 9 9 10 10 10 10 10 10 11 11 10 10 9 9 9 9 10 11 12 12 12 11 10 10 10 10 10 10 10 9 10 10 10 10 11 12 11 8 5 3 2 2 4 7 10 12 12 10 7 4 1 -1 -3 -4 -2 0 3 5 6 8 9 10 11 11 11 11 10 9 8 8 8 8 9 10 12 15 15 14 12 9 8 6 4 2 -1 -2 -3 -2 -1 1 3 3 2 1 2 4 10 13 11 8 1 -3 -1 4 8 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 nan
nan 19 18 16 15 14 12 12 12 12 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 13 14 13 12 11 9 9 8 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 10 10 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 12 13 14 14 13 10 6 1 -3 -2 -0 3 8 12 13 11 8 4 1 -2 -5 -6 -6 -5 -3 -1 1 3 5 7 9 11 12 11 9 7 4 3 3 4 6 9 12 14 14 12 11 9 8 7 6 5 3 1 1 1 2 3 4 3 2 2 3 7 10 11 10 5 1 3 5 8 11 11 10 10 10 10 9 9 9 9 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 10 10 10 10 11 11 11 11 11 nan
nan 15 15 14 13 12 12 12 11 11 11 11 11 10 10 9 9 9 10 10 11 12 12 12 12 12 12 11 11 11 11 12 11 11 12 12 13 14 14 12 11 10 9 9 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 13 15 17 19 18 16 10 4 -0 -3 -3 1 6 9 10 9 7 5 3 0 -2 -4 -5 -6 -5 -5 -4 -2 0 4 8 12 14 13 10 5 2 0 1 2 4 8 11 12 13 12 11 11 10 9 8 7 6 5 5 5 6 7 6 6 5 5 7 8 8 8 7 7 7 9 10 11 11 11 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 10 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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
391 371 354 352 351 338 333 329 323 313 298 277 249 213 176 144 118 99 76 60 49 43 38 33 27 23 29 39 50 56 60 64 65 59 60 73 95 129 176 223 260 305 316 292 255 226 210 196 168 148 145 138 144 180 240 304 333 340 349 361 377 401 428 430 420 409 398 388 389 410 445 478 504 518 523 524 526 529 533 540 552 551 530 504 510 522 503 445 394 352 305 263 223 211 219 236 257 281 303 307 316 340 368 396 419 437 454 456 435 414 392 383 411 489 618 679 675 716 765 753 670 570 447 327 224 142 83 52 46 43 40 39 41 43 45 47 43 43 42 41 41 41 42 45 56 61 55 44 33 31 34 30 24 16 9 6 7 10 12 14 17 20 22 22 23 22 21 27 35 44 53 57 45 27 15 5 0 0 0 0 0 0 0 0 0 0 0
437 408 387 378 367 353 344 333 322 309 295 275 250 215 178 145 120 97 73 57 48 42 35 26 18 11 12 16 24 32 40 50 59 58 53 61 81 115 161 210 238 293 327 321 288 251 224 197 164 125 108 102 114 153 216 284 324 340 357 374 389 403 405 396 382 358 323 288 281 323 386 454 500 528 544 551 549 539 517 506 510 507 486 460 439 415 368 311 262 221 179 142 107 97 109 127 149 183 230 292 384 419 434 451 473 492 498 477 445 393 336 324 389 495 605 648 652 702 749 715 614 488 360 246 155 88 51 41 36 34 32 31 30 30 30 36 34 32 31 30 27 22 18 25 38 45 41 32 29 36 40 32 19 9 5 4 5 8 6 8 10 12 15 18 22 21 21 28 38 45 46 40 23 10 3 1 0 0 0 0 0 0 0 0 0 0 0
456 436 419 408 391 372 358 348 340 329 314 296 270 233 192 156 127 102 80 65 58 54 42 29 21 15 9 8 9 13 18 26 38 46 45 49 68 98 135 176 209 270 327 343 313 267 228 191 179 141 125 124 135 159 196 236 281 300 324 344 349 347 342 343 340 319 283 253 256 297 359 418 458 485 497 495 484 482 428 359 320 311 311 306 282 243 206 177 158 144 130 115 109 124 148 163 179 216 282 435 505 509 505 519 546 561 522 452 395 319 261 269 348 453 540 573 576 596 612 573 495 398 289 188 111 63 41 34 31 31 30 28 24 23 26 34 37 38 36 30 23 14 8 12 25 35 39 40 44 49 45 35 24 15 8 2 1 0 0 1 3 4 5 7 13 16 22 30 35 32 22 12 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0
504 494 477 462 442 423 409 399 389 375 353 326 290 249 208 172 140 112 88 73 67 63 48 33 24 14 8 6 5 6 9 15 23 28 30 39 58 85 116 153 183 226 279 294 273 239 212 192 173 158 150 141 131 125 123 133 171 197 226 245 249 246 249 256 250 227 202 194 215 242 262 275 283 287 290 294 299 329 266 183 137 133 150 164 160 143 136 136 137 136 135 143 164 192 220 245 286 353 421 487 494 481 466 466 485 491 414 331 271 229 219 244 284 336 390 431 456 464 445 402 340 268 192 123 72 43 29 25 27 28 28 25 23 22 25 29 32 34 32 27 19 9 4 8 20 34 44 46 49 47 43 37 27 15 6 0 0 0 0 0 0 0 0 1 7 13 19 22 20 14 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
587 584 567 546 522 500 488 471 443 407 363 315 267 227 194 162 132 104 82 68 64 52 38 27 20 12 8 5 5 6 8 14 22 20 22 37 56 79 104 125 137 164 198 192 171 149 130 124 110 125 130 104 70 47 34 36 49 74 92 95 87 79 86 99 96 80 62 53 57 72 78 80 81 78 75 75 89 108 87 62 52 59 75 88 86 83 91 102 108 104 95 92 109 139 172 212 259 303 321 333 326 307 286 277 284 278 230 192 173 175 185 187 186 188 208 235 263 278 270 238 197 155 105 67 43 29 21 18 21 21 20 18 16 14 16 18 19 21 21 18 13 7 3 6 17 29 35 35 35 36 37 34 24 14 9 4 3 2 0 0 0 0 0 1 5 9 10 9 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
630 632 618 593 561 525 501 467 420 362 298 235 183 148 122 102 85 71 60 52 46 36 27 21 18 14 9 5 4 4 5 11 20 20 22 38 54 66 70 70 78 115 134 105 70 45 28 21 30 52 65 45 18 6 2 2 1 9 15 14 9 4 3 10 12 9 6 4 1 0 1 3 6 7 4 1 6 9 11 16 25 34 36 33 29 27 24 18 14 18 21 19 17 15 43 83 107 110 94 78 86 97 106 113 121 116 115 116 119 118 109 90 87 80 85 97 105 106 104 109 101 70 46 32 22 14 8 7 9 10 9 8 6 4 7 7 6 8 12 14 9 4 2 4 11 18 21 19 18 23 29 33 29 17 17 17 15 9 4 0 0 0 1 3 6 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
561 558 555 547 530 511 473 401 325 251 182 124 83 60 46 40 38 37 35 31 27 23 20 15 11 8 6 4 2 1 1 4 11 18 22 37 47 41 28 19 25 61 72 45 19 6 2 1 1 7 14 11 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 1 4 14 18 7 4 3 3 2 1 0 1 1 0 0 0 0 2 8 11 9 4 2 10 24 34 42 47 55 61 59 49 35 23 23 22 27 34 38 36 35 51 52 41 28 16 7 3 1 0 1 1 2 2 2 1 1 3 4 6 10 11 8 4 2 4 9 15 19 18 17 20 26 33 36 34 33 31 28 20 10 3 2 3 8 15 17 12 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
433 413 400 383 362 341 311 248 181 122 77 45 28 18 14 15 17 17 16 13 10 7 5 3 2 1 1 1 1 0 0 2 7 15 21 30 31 18 5 2 3 14 17 9 3 0 0 0 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 1 6 10 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 7 8 11 14 14 10 7 6 5 8 14 14 12 15 23 29 28 21 11 3 0 0 0 0 0 0 0 0 0 0 1 2 4 6 8 9 7 3 1 3 8 15 20 20 20 22 28 35 39 41 38 30 29 26 19 15 12 10 13 21 26 21 9 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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