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 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 9 10 10 9 8 7 8 9 10 9 9 9 9 8 9 8 7 6 5 5 5 6 7 8 8 8 9 8 8 8 8 8 8 9 9 10 10 11 10 10 9 9 8 7 6 7 10 12 12 11 8 7 8 10 10 9 8 7 7 8 8 8 9 9 8 7 7 8 8 8 7 7 6 6 6 7 7 7 8 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 8 7 7 6 6 7 8 8 7 6 7 7 8 9 10 12 11 11 9 9 8 8 9 10 12 13 14 12 10 9 8 8 8 8 8 8 8 7 7 6 7 7 7 7 7 7 7 8 8 8 8 7 7 8 8 9 8 8 nan
nan 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 9 10 10 9 8 8 8 9 10 10 9 9 8 8 8 8 8 7 5 4 4 6 7 9 9 10 10 10 10 10 9 9 9 9 10 10 11 11 11 10 9 9 9 8 7 7 10 11 10 9 8 8 10 10 10 8 7 7 7 8 9 9 9 9 8 7 7 8 9 8 8 7 6 6 7 7 7 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 8 7 7 7 7 7 7 7 7 7 7 8 8 9 11 12 11 10 9 8 7 8 8 10 11 12 12 11 9 7 7 7 8 8 9 9 8 7 7 6 6 7 7 7 7 7 7 7 8 8 7 6 6 7 8 8 8 7 nan
nan 8 8 7 7 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 10 9 9 9 9 9 9 9 9 9 9 8 8 8 9 8 6 5 5 6 8 9 9 10 11 12 11 11 10 9 9 9 10 10 11 11 11 10 9 9 10 10 8 8 10 10 9 8 8 9 10 10 9 7 6 7 8 9 9 9 9 9 8 7 8 9 9 9 8 7 6 7 7 7 8 8 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 8 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 9 10 11 11 10 9 8 8 8 9 10 10 10 10 9 8 7 7 7 7 8 9 9 9 8 7 7 7 7 7 7 7 6 7 7 8 7 6 6 6 7 8 8 7 7 nan
nan 9 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 8 8 8 8 8 8 9 9 9 10 10 10 10 8 7 7 8 10 10 8 7 8 8 7 6 6 7 9 9 10 11 12 13 12 12 11 10 9 9 9 10 11 11 11 10 10 10 12 12 10 9 10 10 9 8 8 10 10 9 8 7 7 7 8 9 8 8 8 8 8 8 9 9 10 9 7 7 7 7 7 7 8 8 9 9 9 8 8 7 7 7 7 8 8 8 7 7 7 8 8 9 10 11 10 10 9 8 8 7 7 7 7 6 7 8 9 10 10 10 9 9 9 9 10 10 9 9 8 8 9 9 9 8 8 8 9 9 9 8 8 7 7 7 7 7 6 6 7 7 7 6 6 6 7 7 8 7 7 7 nan
nan 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 9 9 10 10 10 10 10 8 6 5 8 10 10 8 7 8 8 7 6 6 8 10 11 11 12 12 12 12 12 11 11 10 9 9 10 11 11 10 10 10 12 13 13 10 10 10 10 9 8 8 9 9 8 8 7 8 9 9 9 9 8 8 8 8 8 9 9 9 8 7 7 8 8 7 7 8 8 9 9 9 8 7 6 6 6 6 7 7 8 8 8 7 7 8 9 10 11 11 10 10 9 9 8 8 7 7 6 6 7 8 9 9 10 10 11 11 11 11 10 9 8 8 8 9 10 10 9 8 8 8 7 7 6 7 7 8 8 7 7 6 6 7 7 7 6 7 7 7 7 7 7 7 7 nan
nan 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 9 9 10 11 11 10 10 9 6 6 8 9 9 8 7 9 9 7 5 6 9 12 13 13 12 12 12 12 12 12 12 11 10 10 10 10 10 10 9 10 12 13 12 10 10 10 10 9 8 8 9 8 8 8 9 9 10 11 10 9 7 7 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 6 6 7 7 7 7 7 7 7 8 8 9 9 9 9 10 11 10 9 8 8 8 7 7 6 7 7 8 9 10 11 12 12 11 10 9 8 8 8 9 10 10 9 7 5 4 3 3 4 5 7 8 9 8 7 6 6 7 7 7 7 7 8 7 7 7 8 8 8 nan
nan 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 9 9 8 8 7 7 8 8 8 9 9 9 8 8 8 9 9 11 11 11 11 10 9 8 7 8 8 8 8 9 9 8 6 5 7 9 12 12 12 11 10 11 11 11 12 12 12 11 10 9 8 8 8 9 10 11 11 11 11 9 9 9 8 8 9 9 9 9 10 10 10 11 11 10 8 7 7 9 10 10 10 9 8 8 8 8 8 8 8 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 11 12 11 9 9 9 9 8 8 7 6 7 8 9 10 10 11 11 11 10 10 9 9 9 9 10 9 8 5 3 1 1 2 4 7 9 10 10 9 8 8 7 8 8 8 8 8 7 6 6 7 8 9 9 nan
nan 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 7 8 8 9 9 9 9 9 9 9 9 10 11 12 12 11 9 8 8 7 7 8 10 11 9 7 5 6 7 8 8 8 8 7 7 8 9 9 9 9 9 9 8 7 6 6 7 8 9 10 10 11 10 9 8 8 8 8 9 9 9 10 10 10 11 11 10 9 8 8 9 10 11 11 10 8 8 7 8 8 8 8 9 9 9 9 8 8 8 7 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 9 11 11 10 9 9 9 10 10 8 7 7 7 9 9 9 9 9 9 9 10 10 11 11 11 10 9 9 7 5 3 3 4 6 8 10 11 10 10 9 9 10 10 10 9 9 8 7 6 6 6 8 9 9 9 nan
nan 9 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 9 10 11 11 10 10 9 9 11 12 12 11 9 8 8 7 7 9 12 11 8 5 5 5 6 5 4 4 4 4 4 5 5 4 4 4 5 5 5 6 6 6 7 7 8 9 9 10 10 9 8 8 8 8 8 8 8 9 9 9 10 10 9 8 7 8 9 10 11 10 9 8 7 7 8 8 9 9 9 9 9 8 8 7 7 8 8 8 8 8 7 7 8 8 8 7 7 7 7 7 7 7 8 9 10 10 10 9 8 8 9 10 9 8 8 8 8 8 8 8 8 8 9 9 10 11 11 11 10 8 8 6 5 5 6 8 10 11 11 9 8 8 8 9 10 11 11 11 9 8 7 7 7 7 8 8 8 8 nan
nan 8 9 9 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 8 8 8 8 9 10 11 12 12 12 11 10 10 11 13 13 11 9 8 8 7 8 10 12 10 7 5 5 5 5 5 5 5 4 3 3 2 2 1 2 2 3 4 5 6 7 7 7 7 7 7 8 9 9 9 8 8 8 8 8 8 9 10 9 9 10 9 8 8 8 8 9 10 10 9 8 8 7 8 8 9 9 10 10 9 9 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 8 9 10 10 9 9 9 10 10 9 9 8 7 6 7 8 9 9 9 8 9 10 10 9 8 7 6 6 6 6 7 9 10 10 9 7 6 6 7 8 9 10 11 10 9 9 8 8 8 8 8 7 6 7 nan
nan 8 8 8 9 9 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 10 11 12 12 12 11 10 10 12 13 13 12 10 9 8 7 9 10 10 9 7 6 6 6 7 8 9 8 7 5 3 2 2 1 2 3 4 5 6 6 6 6 5 5 6 6 7 8 8 7 7 7 8 9 9 10 10 10 10 10 10 9 8 8 8 9 9 10 9 9 8 8 8 8 8 8 9 9 9 9 8 8 8 7 8 8 8 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 6 5 6 8 9 10 10 9 9 10 10 10 10 9 7 7 7 8 9 8 7 7 8 9 9 8 8 7 7 6 6 6 7 9 9 9 7 6 6 7 8 8 8 10 10 10 9 9 9 9 9 9 8 7 6 6 nan
nan 8 8 8 7 7 8 8 9 9 9 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 11 10 10 12 13 14 13 12 10 8 7 8 9 10 10 8 6 6 7 8 9 10 10 9 6 4 3 2 3 4 5 5 5 5 5 5 5 5 6 6 7 7 7 7 7 7 8 9 10 10 10 9 9 10 10 9 9 9 9 9 9 10 9 9 8 8 8 8 8 7 7 8 8 9 9 8 8 8 8 8 8 8 9 9 9 9 9 8 8 7 7 8 8 7 7 7 7 7 7 7 7 7 7 8 9 9 9 10 10 10 9 9 9 9 9 8 7 6 6 8 9 9 9 9 9 8 8 7 6 7 8 9 9 7 7 7 7 7 7 8 10 10 9 9 9 10 10 10 10 9 8 7 7 nan
nan 9 9 8 7 7 7 7 7 8 8 9 9 9 10 10 11 11 11 10 10 10 10 10 11 11 10 11 11 12 12 11 11 10 9 10 12 13 14 14 12 10 8 7 8 9 10 11 9 6 6 6 7 8 9 10 9 7 5 4 4 6 8 7 6 5 4 4 4 5 7 8 8 8 8 8 7 8 8 9 10 10 10 9 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 10 9 9 8 7 7 7 7 7 7 7 7 8 9 9 8 7 6 6 8 9 9 8 9 9 9 9 9 10 10 10 9 8 8 8 8 8 8 9 9 9 9 9 8 7 6 7 8 8 7 7 7 7 7 7 8 9 9 8 9 10 11 11 11 10 10 9 9 8 nan
nan 10 10 9 9 8 7 7 8 8 8 8 8 8 9 9 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 10 10 10 10 12 13 15 14 13 10 8 8 9 10 11 11 9 6 5 6 7 8 9 10 9 7 5 4 5 8 10 9 6 5 5 6 7 9 10 10 10 9 8 8 8 9 10 11 11 11 10 9 8 8 8 9 9 10 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 9 9 10 10 9 9 9 9 9 8 7 7 7 7 7 7 7 8 9 10 11 10 9 7 6 7 8 9 9 8 8 8 8 8 8 9 10 10 10 9 10 9 9 8 8 8 8 9 10 9 8 7 6 6 6 7 7 6 7 7 6 7 7 7 7 7 9 11 11 11 11 10 10 10 10 10 nan
nan 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 9 10 10 11 11 11 11 11 12 12 12 12 13 13 12 11 10 10 10 11 12 14 15 15 14 11 9 9 10 10 10 10 9 6 6 6 7 9 10 11 11 8 5 4 5 8 9 8 6 5 7 9 10 10 10 9 8 8 8 8 9 10 11 11 12 11 10 9 8 8 8 9 10 10 10 10 10 10 9 8 8 8 8 8 8 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 8 7 7 8 8 8 8 8 8 9 10 11 10 9 8 7 7 7 8 9 9 8 8 7 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 8 7 6 5 6 7 7 7 7 6 5 6 6 7 7 9 11 12 11 10 9 9 9 10 10 nan
nan 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 9 9 10 10 11 11 12 12 12 12 12 13 13 13 12 11 11 11 11 11 12 14 15 15 15 13 11 10 10 10 10 10 9 7 6 7 9 10 12 13 11 6 3 3 4 6 8 7 7 7 9 11 11 9 7 6 6 7 8 9 10 11 11 11 11 11 9 9 8 9 9 9 10 11 11 11 10 9 8 8 8 8 8 8 7 7 7 7 7 7 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 8 8 8 9 8 8 7 7 7 7 7 7 8 9 9 9 8 8 8 8 8 8 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 6 6 6 7 8 7 6 5 4 5 6 7 8 9 10 10 9 8 8 8 8 9 9 nan
nan 9 9 9 10 10 10 10 10 10 10 10 10 9 9 8 8 9 9 10 11 11 12 12 12 12 13 13 14 13 13 12 11 11 11 12 12 13 14 15 15 14 12 11 10 10 10 9 9 8 8 9 11 13 15 15 10 4 1 2 4 6 7 8 9 10 11 11 10 8 7 6 6 7 8 9 10 10 11 11 11 10 9 9 9 9 9 9 9 10 10 11 10 9 8 8 8 8 8 8 7 7 7 6 7 7 8 8 9 9 8 8 8 8 8 8 8 8 8 8 9 9 10 10 9 9 8 8 7 7 7 8 8 9 8 7 7 8 9 9 9 8 8 8 8 8 8 7 7 8 8 9 9 9 9 9 10 10 9 9 9 9 9 8 7 8 8 8 7 6 5 4 5 5 6 7 8 7 7 6 6 7 7 8 9 10 nan
nan 9 8 9 9 9 10 10 10 11 11 11 11 10 10 10 9 9 9 10 10 11 13 13 13 13 13 14 14 13 13 12 12 12 12 11 12 12 13 14 14 13 12 11 10 10 10 9 9 9 10 11 13 15 16 13 7 2 1 3 6 7 7 8 9 10 10 10 10 9 8 7 7 8 8 9 10 11 12 12 10 7 7 8 9 9 9 8 8 8 10 10 10 10 9 9 9 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 9 8 8 8 8 8 9 9 9 9 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 10 10 9 9 9 9 9 9 8 9 8 7 6 5 5 5 5 6 6 6 5 5 5 5 6 7 8 9 9 nan
nan 9 9 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 13 14 15 16 15 15 14 14 13 12 12 12 11 11 10 10 11 11 12 12 12 11 11 11 11 10 10 9 9 10 11 13 14 13 10 5 2 3 5 8 8 8 9 9 10 10 10 10 9 9 8 8 8 8 9 10 11 12 11 8 5 5 7 7 8 8 7 6 7 8 9 9 9 9 9 9 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 10 9 9 9 9 9 10 10 9 9 9 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 9 10 10 10 10 10 10 10 9 9 9 9 8 7 7 7 6 6 6 6 5 5 5 5 6 6 7 7 7 7 7 nan
nan 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 12 13 14 15 16 17 16 15 15 14 13 12 11 11 10 10 10 9 9 10 10 10 11 11 11 12 12 11 10 9 9 10 11 12 12 11 8 5 4 5 8 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 9 11 12 10 6 5 5 6 6 7 7 6 6 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 10 10 10 10 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 7 8 8 9 9 9 9 8 8 8 8 7 7 7 7 8 8 9 9 10 10 10 10 10 9 9 9 9 9 8 9 9 8 8 7 7 7 7 7 7 7 7 7 7 6 5 5 nan
nan 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 12 12 12 13 13 13 14 14 14 14 14 14 13 13 12 11 10 10 10 10 9 9 9 9 9 10 10 11 12 12 11 10 9 10 11 12 12 11 10 7 5 5 8 11 12 11 10 9 9 9 8 8 8 8 9 10 10 9 9 9 11 12 11 9 6 5 5 5 6 7 7 7 7 7 7 7 7 6 7 7 7 8 8 7 7 6 6 7 8 9 9 9 8 8 8 8 9 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 10 10 9 9 9 8 8 8 8 8 8 8 8 7 6 6 5 5 nan
nan 9 9 8 8 8 8 9 9 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 11 12 12 11 11 11 11 10 10 10 10 10 9 9 8 9 10 11 11 11 11 11 10 10 11 12 12 11 11 9 7 6 6 9 11 12 11 10 9 8 7 7 8 9 10 11 12 11 10 10 11 13 12 10 7 5 3 3 4 6 6 7 8 8 8 8 7 7 7 7 7 7 8 8 7 7 6 6 7 8 9 9 9 9 9 9 9 10 10 10 9 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 9 9 10 10 9 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 9 9 9 8 7 8 8 8 8 8 8 8 8 8 8 7 7 7 8 nan
nan 8 8 8 8 8 8 9 9 10 11 11 11 11 11 10 9 9 8 8 7 7 7 7 7 8 9 9 9 9 9 10 10 10 10 11 11 10 9 8 9 10 11 11 11 10 11 11 11 12 12 12 11 10 8 7 6 7 9 11 11 11 11 9 8 7 7 9 11 11 12 13 12 10 11 13 13 11 7 4 2 2 3 5 6 7 7 8 8 8 8 8 8 7 7 7 7 8 8 8 7 6 6 7 8 9 9 9 9 9 9 10 11 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 9 9 9 9 10 10 9 9 8 8 8 8 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 8 7 7 7 8 8 8 8 8 7 7 7 7 7 8 8 8 7 8 8 9 8 9 9 9 9 nan
nan 8 8 8 8 8 9 9 10 11 12 12 11 11 9 8 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 8 9 9 10 11 11 10 9 9 9 10 10 10 10 10 11 11 11 11 11 10 10 9 8 7 7 8 10 11 12 12 11 10 9 8 9 10 11 12 12 12 10 9 11 12 11 7 3 0 -0 2 4 6 7 7 8 8 8 8 8 8 8 8 8 7 7 8 8 7 7 7 7 7 8 9 9 9 9 9 9 10 10 10 9 9 9 8 8 8 9 9 9 8 8 8 8 8 8 7 6 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 9 9 9 10 10 10 9 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 9 10 9 9 9 nan
nan 8 8 9 9 9 10 11 11 12 13 12 11 10 8 7 7 7 7 7 7 7 7 6 6 7 7 6 6 6 6 7 8 9 10 10 11 10 9 9 9 10 10 11 10 10 11 11 10 9 9 8 8 9 9 8 8 9 10 11 12 11 10 10 10 9 9 10 11 11 11 10 8 9 9 8 5 3 0 -1 1 3 5 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 8 8 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 8 8 nan
nan 9 9 10 10 10 11 12 12 13 13 13 12 10 9 8 7 7 7 7 8 8 8 8 8 7 7 7 6 6 7 7 8 8 9 10 10 9 9 8 9 10 11 12 12 11 11 10 9 8 8 7 8 9 9 9 9 9 10 11 11 9 8 9 10 11 11 10 10 9 8 8 8 8 7 3 0 -1 -0 1 3 5 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 8 8 8 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 10 11 11 10 8 7 7 7 7 8 8 8 8 8 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 10 10 10 9 9 8 8 9 9 9 9 8 8 8 8 8 7 nan
nan 10 10 11 11 11 11 11 12 13 13 14 13 12 11 10 9 8 7 7 8 8 8 9 9 9 8 8 7 7 7 7 8 9 9 10 9 9 8 8 8 9 11 12 13 13 11 10 8 8 8 8 8 9 9 10 10 10 10 10 9 7 8 10 12 13 12 10 8 5 5 7 8 8 4 -1 -2 -1 2 4 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 6 6 7 7 8 8 8 8 7 8 9 9 9 9 9 9 9 9 9 9 9 8 7 7 8 9 10 11 11 11 9 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 8 8 8 8 8 8 nan
nan 10 11 12 12 12 11 11 12 12 13 14 14 14 13 13 12 11 10 9 9 9 9 10 10 10 9 9 8 8 7 8 8 9 10 10 9 9 8 7 7 9 10 12 14 13 12 9 8 9 10 10 9 9 10 10 11 11 10 9 8 7 9 12 14 14 12 9 5 3 4 8 9 7 1 -2 -1 2 5 7 7 7 7 6 6 6 6 7 7 7 8 8 8 7 7 8 7 7 7 6 6 6 7 7 6 7 7 8 9 9 9 8 8 8 9 9 9 9 8 8 8 9 9 9 9 8 8 8 9 10 10 10 9 8 7 7 8 9 8 8 8 7 8 8 8 9 8 8 7 7 8 8 8 8 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 9 nan
nan 11 12 12 13 13 12 12 11 11 11 12 13 13 13 13 13 13 12 11 10 10 10 10 11 11 10 10 9 8 8 8 9 10 10 10 10 9 8 7 7 8 10 12 13 13 12 10 9 11 11 11 11 11 11 11 11 11 10 9 8 9 11 12 11 10 8 6 4 4 7 11 12 7 0 -1 2 5 7 7 8 8 7 6 6 7 7 7 7 8 8 8 7 7 8 8 8 8 8 7 7 8 8 8 9 9 9 10 10 11 10 10 9 9 9 9 9 9 9 8 8 9 9 9 9 9 8 8 9 9 9 8 7 7 7 8 9 9 9 8 8 8 8 9 9 9 8 8 7 7 8 8 8 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 8 8 8 8 9 9 9 9 9 nan
nan 12 12 13 13 13 12 12 11 10 9 9 10 10 10 11 11 12 13 12 12 11 11 11 11 11 10 10 9 9 9 9 10 10 10 10 10 9 8 7 7 8 9 11 12 12 11 10 10 11 12 13 13 13 12 12 12 11 10 9 9 10 10 8 6 5 6 6 5 6 9 12 11 6 1 2 5 7 8 8 9 8 8 7 7 8 8 8 8 8 8 8 7 8 9 9 9 9 8 8 8 8 9 10 10 11 11 11 11 11 11 10 10 9 9 9 9 9 9 8 8 8 9 9 9 9 8 8 8 8 8 7 7 7 8 9 9 9 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 8 8 8 8 8 9 9 9 9 nan
nan 12 13 14 14 13 12 11 10 8 8 8 7 7 8 8 9 11 12 12 12 12 12 12 12 11 10 9 9 9 10 11 11 11 10 10 10 10 9 8 7 8 9 10 11 11 10 10 11 12 13 14 14 14 13 14 13 11 10 9 9 10 7 4 2 4 7 8 8 9 10 10 8 4 4 6 8 9 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 10 10 9 8 7 8 8 9 10 11 11 11 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 8 8 7 7 7 7 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 10 9 8 8 8 8 8 8 9 9 nan
nan 13 14 14 14 13 12 10 9 8 8 7 7 7 7 7 8 9 11 12 12 13 14 14 13 12 10 10 9 10 10 11 12 12 11 10 10 10 10 9 8 8 9 9 10 10 9 10 11 12 13 13 13 13 14 15 14 12 10 9 10 9 6 2 2 5 9 11 10 9 9 8 6 6 8 9 11 11 11 11 10 9 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 9 8 7 7 8 9 10 10 10 10 9 9 8 8 8 9 9 9 9 8 8 8 8 8 8 8 9 9 9 8 8 7 7 8 9 10 10 9 9 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 10 9 9 8 7 7 7 8 8 8 nan
nan 14 14 14 13 12 10 9 9 8 8 7 7 6 6 7 7 8 10 11 12 13 14 15 14 12 11 10 10 10 11 12 12 12 12 11 11 11 11 10 9 9 9 9 9 9 9 10 10 11 12 12 12 12 13 15 14 13 11 10 10 8 5 4 5 7 10 11 10 9 8 7 7 9 10 12 12 12 12 10 9 9 10 10 10 9 9 9 9 9 9 9 10 11 11 10 9 8 8 8 8 8 9 9 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 9 9 10 10 9 9 8 8 8 8 7 8 8 9 9 9 9 9 9 9 9 9 8 8 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 8 7 7 7 7 7 7 nan
nan 15 14 13 12 10 10 9 9 8 8 7 7 6 6 6 7 8 9 10 12 12 14 15 14 12 11 11 11 11 11 12 13 13 12 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 11 11 12 12 13 14 14 13 12 12 11 9 7 7 8 9 11 11 10 9 9 9 10 12 13 12 11 11 10 9 8 9 9 8 8 8 9 10 11 10 9 9 10 11 10 9 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 9 8 8 9 9 10 9 9 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 10 10 9 8 8 8 7 6 6 nan
nan 13 12 11 10 10 9 9 8 8 8 7 7 6 6 6 7 7 9 10 11 12 13 14 14 13 12 11 11 11 12 13 13 13 13 12 11 11 11 11 11 10 10 10 10 10 9 9 8 8 10 11 12 12 13 13 13 12 12 12 11 10 9 9 10 11 12 12 11 11 10 11 12 13 12 10 9 9 9 8 8 9 8 7 7 8 10 12 11 10 9 10 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 9 10 10 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 11 10 10 10 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 8 7 7 7 nan
nan 10 10 9 9 9 9 9 9 8 7 7 7 6 6 6 7 7 8 9 10 11 12 13 14 14 13 12 12 12 13 14 14 14 13 12 12 11 11 11 10 10 10 10 10 10 9 9 8 8 9 11 12 13 13 13 12 11 10 11 11 10 10 10 12 12 13 12 12 12 12 13 13 12 10 7 6 7 7 8 8 9 8 8 8 9 11 11 10 9 9 11 12 11 10 9 9 9 8 8 8 9 9 9 9 10 9 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 9 8 8 8 8 10 10 9 8 8 7 8 8 8 8 8 8 9 9 9 9 8 9 10 10 10 10 10 10 9 9 8 8 8 8 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 8 8 7 nan
nan 7 7 8 9 9 10 10 9 8 7 7 6 6 6 7 7 7 8 9 9 10 11 12 13 14 14 13 13 13 14 14 14 14 14 13 12 12 11 11 10 10 9 9 9 10 9 9 8 9 10 11 12 12 13 13 11 9 9 9 10 10 11 11 12 12 12 11 11 12 13 13 12 10 7 5 4 6 7 7 8 8 9 10 10 11 11 11 10 11 12 13 12 11 10 9 8 8 8 8 8 9 9 10 10 10 9 8 8 8 8 8 8 8 8 7 8 8 9 9 9 9 9 8 8 8 9 10 10 8 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 8 8 8 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 10 9 9 8 nan
nan 6 6 7 8 9 10 10 10 9 8 7 7 6 6 6 7 7 8 8 9 9 10 11 12 13 14 14 14 14 15 15 15 15 14 13 13 12 11 11 10 10 9 9 9 9 10 9 9 10 10 11 11 12 12 11 9 8 8 9 11 11 12 12 11 10 10 11 11 12 13 13 11 8 5 3 4 6 9 9 9 10 10 12 12 13 13 13 14 14 14 14 12 11 10 9 8 8 8 8 8 9 10 11 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 9 10 10 9 7 7 6 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 9 9 8 8 8 8 8 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 nan
nan 6 7 7 8 8 9 10 9 8 8 7 7 6 6 6 6 6 7 8 8 9 9 10 11 13 14 15 15 15 15 15 15 15 14 14 13 12 12 11 11 10 10 9 10 10 10 10 10 10 11 11 11 11 11 9 8 9 10 11 13 13 12 10 8 8 10 12 13 13 12 11 9 6 5 5 6 9 11 11 12 12 13 14 14 15 15 14 14 14 13 12 11 11 10 10 9 8 8 8 8 9 11 11 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 9 8 8 7 8 7 7 8 8 8 8 8 8 8 9 9 9 9 8 8 9 9 9 9 8 8 7 7 8 8 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 nan
nan 8 8 8 8 8 8 9 9 8 8 7 7 6 5 5 5 5 6 7 8 9 9 10 11 14 15 15 15 15 15 15 15 15 14 14 13 13 12 12 11 11 10 11 11 11 11 11 11 11 11 11 11 11 10 9 9 10 11 13 13 12 10 7 6 7 10 13 13 12 11 9 8 7 8 9 10 11 11 12 13 14 14 14 14 14 14 13 12 11 10 10 10 10 10 9 8 8 7 8 8 10 10 10 9 9 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 9 9 9 9 9 8 8 8 7 7 8 8 9 9 9 8 8 9 9 9 8 8 7 7 7 7 8 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 nan
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nan 13 13 13 13 13 12 12 13 13 13 13 13 13 13 13 13 12 12 12 11 11 12 12 13 13 12 11 10 10 9 9 9 9 10 11 12 13 13 12 11 10 9 9 8 8 7 8 8 8 9 9 9 9 9 9 10 10 11 11 11 10 10 10 9 9 8 8 8 9 9 8 8 8 8 8 8 8 8 9 9 8 8 8 9 9 10 10 10 9 8 7 7 7 7 8 9 10 10 11 11 11 10 10 9 9 9 9 9 9 10 10 9 8 8 9 9 10 9 9 7 6 6 6 6 6 8 11 12 12 12 10 10 10 10 10 10 10 10 10 11 12 12 12 11 10 10 9 7 3 -3 -5 -2 1 4 8 9 8 6 5 3 0 -1 1 5 8 9 9 11 15 18 17 15 12 11 12 12 12 12 12 11 10 9 8 8 9 nan
nan 13 13 12 12 12 12 12 12 12 13 13 13 12 12 12 12 12 12 11 11 11 12 12 12 12 11 11 10 10 10 11 12 13 14 15 14 14 12 11 10 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 9 10 11 11 10 8 7 6 5 6 7 9 10 11 11 12 11 11 10 10 9 9 9 9 9 9 10 10 9 9 8 8 8 8 9 9 9 8 7 7 6 6 6 8 10 12 13 12 10 9 10 10 10 10 10 10 10 11 11 11 11 10 9 9 9 8 5 2 3 5 7 8 10 10 7 5 4 1 -1 -0 3 6 8 9 9 11 15 16 16 14 12 12 12 13 13 12 11 10 9 9 8 9 10 nan
nan 14 13 13 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 11 11 10 10 10 10 11 13 14 14 14 12 11 10 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 8 9 10 10 11 11 11 11 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 9 8 7 6 5 5 6 8 9 10 11 11 11 11 11 10 10 9 9 9 9 9 9 10 10 9 9 9 8 8 8 8 8 9 9 9 8 7 7 6 6 7 9 11 13 12 10 10 10 9 10 10 10 10 10 10 10 11 10 10 9 9 9 9 8 7 8 8 8 8 10 8 5 3 1 -1 -1 1 5 7 8 8 9 11 14 15 15 13 12 13 13 13 13 11 11 10 9 8 9 9 10 nan
nan 15 14 14 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 11 12 12 13 12 11 10 10 10 10 9 9 9 8 8 8 7 7 7 7 6 5 5 6 7 8 9 9 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 7 6 6 5 6 8 9 11 11 11 11 10 10 10 10 10 9 9 10 10 9 9 10 10 10 9 9 9 8 8 8 8 8 9 9 9 9 8 8 7 7 7 8 11 13 12 11 10 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 6 8 9 8 6 4 2 1 3 5 7 8 8 8 9 11 12 13 13 12 12 13 14 13 12 11 10 9 8 9 9 10 11 nan
nan 15 15 14 14 14 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 12 12 13 12 12 11 11 10 11 11 10 10 9 9 8 8 7 7 6 6 5 5 5 5 6 6 7 8 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 8 10 11 12 12 11 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 9 9 10 9 8 8 7 7 8 10 12 12 11 10 9 8 9 9 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 10 10 9 8 6 6 6 7 8 8 8 8 8 9 9 9 9 10 12 14 15 14 12 11 10 9 8 9 9 10 10 10 nan
nan 13 14 13 14 14 14 13 13 12 12 12 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 12 13 13 14 13 12 11 11 11 10 10 10 9 9 8 8 7 7 7 7 7 6 6 6 6 6 7 8 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 8 8 9 9 10 10 10 11 11 11 11 10 9 8 8 8 8 9 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 9 10 9 8 8 7 7 8 9 11 12 12 10 8 8 8 9 10 10 9 9 8 8 7 7 7 7 8 8 8 9 9 10 11 12 10 8 6 7 7 7 7 8 8 8 8 8 8 8 8 9 11 14 16 15 13 11 10 9 8 8 8 7 7 7 8 nan
nan 12 12 12 12 12 13 13 13 13 12 12 12 11 11 11 11 12 12 12 12 12 12 11 11 11 12 12 12 13 13 14 14 13 12 11 10 10 9 9 9 8 8 7 7 6 6 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 10 11 11 11 10 10 10 10 10 10 9 9 8 8 8 8 8 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 8 8 8 8 8 9 11 13 13 11 8 7 8 9 9 9 8 8 7 7 7 6 7 8 9 10 10 10 11 11 12 10 8 4 3 5 5 6 7 7 8 8 8 8 8 8 9 10 12 15 16 15 12 10 9 8 6 4 2 0 0 3 7 nan
nan 12 12 12 12 12 12 12 13 13 12 12 12 12 12 12 12 12 12 12 12 11 11 11 12 12 12 13 13 13 13 13 12 11 10 9 9 8 8 8 7 7 6 6 6 6 7 7 8 8 9 9 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 8 8 8 7 8 8 8 8 8 8 8 9 10 11 11 12 11 11 10 10 10 10 10 10 10 10 9 9 9 8 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 8 8 7 7 8 8 8 8 8 8 8 8 9 10 13 12 10 8 7 8 9 9 8 7 6 6 7 7 7 9 10 11 11 11 10 11 10 10 8 4 1 0 1 3 6 7 7 8 8 8 8 8 9 9 10 12 14 16 15 13 10 7 5 2 -1 -3 -4 -2 5 11 nan
nan 12 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 12 11 10 9 9 8 7 7 7 7 7 7 7 7 7 8 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 9 9 9 9 9 8 8 8 8 7 8 8 8 8 9 8 9 9 10 11 12 12 11 11 10 10 10 10 10 10 11 11 11 11 10 10 9 9 9 9 10 10 10 10 10 10 10 9 9 8 7 5 5 5 5 6 7 8 9 9 8 8 8 8 8 10 12 11 10 7 6 7 8 7 6 6 6 7 7 8 8 10 11 11 11 10 10 10 10 9 6 1 -2 -3 -1 3 6 7 8 8 8 8 8 8 9 9 9 11 15 18 18 15 10 4 0 -1 -2 -1 1 8 15 17 nan
nan 11 12 13 13 13 12 12 11 11 10 10 10 11 11 11 10 10 10 11 11 10 10 11 11 11 11 10 10 9 9 9 9 8 8 8 8 8 9 9 10 10 10 10 11 11 12 12 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 10 11 12 12 12 11 11 10 10 10 10 11 11 11 12 12 12 11 11 10 10 9 9 10 10 11 11 11 11 11 10 10 9 8 5 2 2 2 4 5 7 9 9 9 9 9 9 9 8 9 10 10 9 7 6 7 6 5 5 6 6 7 7 8 9 10 10 10 10 10 9 9 9 7 4 -1 -4 -4 -0 4 7 8 8 8 8 8 9 9 9 10 11 13 17 21 21 15 7 1 -1 1 3 6 10 16 20 21 nan
nan 10 10 11 12 12 12 11 10 10 9 9 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 9 8 8 8 8 9 9 10 10 11 12 13 14 14 14 13 13 12 12 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 8 8 8 8 9 10 10 11 11 11 11 11 10 10 11 11 11 11 11 12 12 12 12 12 11 10 10 9 10 10 11 12 13 13 13 13 12 11 10 8 6 5 5 5 5 6 8 10 10 10 9 9 9 9 9 9 9 8 7 6 5 5 4 4 5 7 8 8 8 8 9 10 10 9 9 9 9 9 9 7 3 -2 -5 -3 2 5 7 8 8 8 8 9 9 10 11 11 13 17 21 25 20 10 3 0 3 7 9 11 13 16 19 20 nan
nan 8 8 9 10 11 11 10 9 9 8 7 7 6 6 7 7 8 8 8 8 9 10 11 12 12 13 12 10 10 10 10 11 12 12 12 13 14 15 15 15 13 13 12 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 8 7 6 6 7 7 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 12 11 11 10 10 10 10 11 12 14 14 15 14 14 13 12 11 9 8 9 9 8 7 7 10 11 11 10 9 9 9 9 9 9 8 7 7 6 5 4 3 5 9 11 11 10 10 11 11 11 10 10 9 9 10 11 11 8 5 -1 -3 -1 2 5 7 8 8 8 9 10 10 11 12 13 17 22 26 24 14 6 2 3 8 11 12 12 13 15 19 22 nan
nan 9 8 8 8 9 10 9 9 8 8 7 7 7 7 8 8 9 9 10 11 12 13 14 15 15 15 14 13 13 13 13 13 13 13 12 12 12 11 11 11 10 10 10 10 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 6 6 6 7 8 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 10 10 11 10 10 10 11 11 11 11 11 10 9 9 10 11 12 14 14 14 14 13 13 12 12 10 10 9 8 7 6 8 11 11 10 8 7 8 9 9 9 9 9 8 8 8 6 5 6 9 13 13 13 12 13 13 13 12 11 10 10 10 11 12 10 8 4 -1 -3 -1 2 5 7 8 8 9 10 11 11 12 13 16 21 24 25 16 7 3 3 7 11 11 11 12 14 18 23 27 nan
nan 13 12 11 11 11 11 12 12 12 11 11 11 11 12 12 12 13 13 14 14 15 15 15 14 14 13 13 13 13 13 13 12 12 11 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 6 6 7 8 9 10 10 10 10 10 10 10 11 11 10 10 9 9 8 8 9 10 10 10 10 9 9 10 10 11 11 10 10 9 9 10 11 12 13 13 13 13 12 12 12 12 12 11 10 9 7 7 9 11 10 8 6 5 7 8 9 9 10 10 10 10 9 8 7 8 11 12 11 11 12 12 12 11 10 10 10 10 10 9 7 4 0 -4 -6 -5 -2 2 6 7 8 9 10 11 12 13 13 15 17 20 20 15 5 1 2 6 10 11 11 11 12 17 23 27 28 nan
nan 16 16 15 15 15 15 16 16 16 15 15 15 15 15 15 14 14 14 14 14 13 12 12 11 11 11 11 11 11 11 10 10 9 9 8 8 9 9 10 10 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 8 8 7 7 7 7 7 8 8 8 9 9 10 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 10 10 10 10 9 9 9 10 10 10 10 9 9 9 10 10 11 12 12 12 11 11 11 12 12 12 11 11 10 9 9 10 9 8 6 5 6 8 9 10 10 10 10 10 9 9 8 8 9 9 9 9 10 12 11 11 10 9 10 10 9 8 4 -1 -5 -8 -9 -7 -4 0 5 8 9 10 11 12 13 14 16 17 17 18 17 14 7 3 3 6 10 11 11 12 13 17 23 28 30 27 nan
nan 14 15 15 16 16 16 16 15 15 14 14 14 14 13 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 9 9 8 8 8 8 9 10 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 8 8 8 8 7 7 7 7 8 8 9 9 10 10 11 11 11 11 12 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 11 11 11 12 11 11 10 10 10 9 8 5 6 8 9 10 10 10 10 10 10 9 9 8 8 8 8 8 8 10 12 14 13 11 10 9 8 7 4 1 -3 -6 -8 -6 -3 0 4 7 8 10 10 11 13 14 16 19 22 23 22 20 17 13 10 8 9 11 12 12 12 14 19 25 31 32 29 22 nan
nan 11 12 12 13 13 13 12 12 12 11 11 11 10 10 10 9 9 9 10 10 11 12 12 13 13 12 12 11 10 9 9 8 8 8 9 10 11 11 12 11 10 10 10 10 10 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 8 9 9 10 10 10 10 11 11 11 12 12 12 12 11 11 11 11 11 11 10 9 8 7 7 8 8 9 9 9 10 10 10 10 10 10 10 10 10 9 10 10 9 9 9 10 10 10 10 10 11 11 11 11 10 10 10 10 9 6 5 8 11 12 13 12 12 11 11 10 9 8 8 8 8 8 8 9 11 15 15 14 12 9 5 2 -1 -3 -5 -5 -4 -1 3 7 9 10 10 10 11 12 15 17 20 23 27 30 28 25 21 18 14 12 11 11 12 12 13 15 20 27 31 32 28 21 15 nan
nan 9 10 10 11 11 11 11 11 11 10 10 10 9 10 9 9 9 10 10 11 13 14 15 15 14 14 13 12 11 10 9 8 8 8 9 10 11 11 11 11 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 8 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 9 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 11 10 9 7 8 12 15 16 16 15 15 13 11 9 9 8 9 9 9 9 9 10 12 13 13 11 9 4 0 -2 -3 -2 -0 2 6 9 12 14 13 12 12 13 16 19 22 24 27 30 31 30 25 19 15 11 8 7 8 10 12 13 16 20 27 30 29 25 19 13 10 nan
nan 8 9 10 10 11 12 12 11 11 10 10 10 9 9 9 9 10 11 12 13 14 15 15 16 15 15 14 13 12 10 9 9 9 9 9 10 11 11 11 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 8 8 9 9 9 9 9 9 9 10 10 10 10 11 10 10 10 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 11 11 10 10 9 11 14 15 15 16 16 16 13 10 9 11 12 12 12 11 11 11 12 12 12 12 12 10 5 3 3 5 8 11 13 16 18 20 19 16 14 16 19 22 24 25 26 26 24 22 16 12 8 5 2 1 4 9 13 15 17 21 27 30 28 23 17 12 10 10 nan
nan 9 10 11 11 11 12 11 11 11 10 10 10 10 9 9 10 10 10 11 12 13 14 14 14 15 15 14 13 12 11 10 10 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 12 12 12 12 13 14 13 10 9 11 15 16 16 15 14 14 14 15 17 18 19 19 16 13 13 15 17 20 21 22 23 23 21 17 13 12 14 17 18 17 16 15 13 10 6 5 5 6 6 6 9 13 17 20 22 25 28 30 27 22 17 12 10 10 10 nan
nan 10 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 10 10 10 11 12 12 12 12 13 13 13 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 7 7 6 6 6 7 8 8 9 9 9 8 8 8 8 9 9 9 10 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 10 10 10 11 11 11 11 11 11 11 11 11 10 10 9 9 10 10 10 10 11 11 11 11 12 11 10 10 10 10 9 8 9 13 16 17 17 15 15 17 19 20 22 23 23 21 19 18 19 21 23 23 24 23 22 19 13 7 3 5 9 12 12 10 10 9 8 6 7 11 15 18 17 17 20 22 24 25 26 27 27 25 20 16 12 10 10 10 10 nan
nan 10 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 7 7 7 6 6 7 7 8 8 9 9 9 9 9 8 8 8 8 9 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 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 10 10 10 10 11 11 12 12 11 10 9 8 7 6 6 7 9 11 12 13 13 13 14 16 18 19 19 19 18 16 15 16 17 19 20 20 20 17 14 10 6 4 4 9 14 17 18 18 18 18 17 18 21 24 26 25 21 20 19 19 20 20 21 20 19 16 14 12 11 10 10 9 8 nan
nan 11 11 12 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 7 7 7 7 7 7 6 7 7 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 11 10 10 10 10 11 11 11 10 10 10 10 9 9 9 10 10 10 10 10 11 11 11 10 8 7 5 4 5 6 7 8 9 10 11 11 12 12 13 13 13 13 13 12 12 12 13 14 15 15 15 14 12 9 9 10 12 15 20 24 26 26 25 24 23 23 24 25 24 22 19 15 14 13 13 13 14 13 13 12 12 11 11 10 10 10 9 6 nan
nan 12 12 12 12 11 11 11 11 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 9 9 8 8 7 7 7 7 7 7 7 7 7 7 8 9 9 9 9 9 9 10 10 10 10 9 9 9 9 8 8 9 10 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 11 10 8 6 3 1 -0 1 4 6 8 9 10 11 11 11 11 11 11 11 10 10 10 10 9 9 10 11 12 13 12 12 10 11 12 14 16 18 21 22 23 22 20 18 18 17 18 17 15 13 12 11 11 10 10 11 11 11 11 11 11 11 10 10 10 10 9 8 nan
nan 12 13 13 13 12 12 11 11 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 9 9 9 9 9 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 9 10 10 10 10 10 10 10 10 10 11 11 11 11 10 9 9 10 10 11 11 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 11 10 9 9 9 9 10 10 9 9 10 10 10 10 10 10 10 11 10 10 9 9 9 10 9 10 10 10 9 6 1 -2 -4 -5 -4 -0 3 6 8 9 9 9 9 9 9 9 9 10 10 10 8 5 3 4 7 10 12 12 11 11 10 11 11 11 12 13 14 15 15 14 13 12 12 11 11 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 nan
nan 13 14 14 13 13 12 12 11 11 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 11 12 12 11 10 10 10 10 10 10 10 10 11 11 11 11 12 11 11 11 10 10 10 10 10 9 8 7 7 7 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 4 -2 -6 -7 -6 -4 -1 2 5 6 6 6 7 7 7 6 5 5 6 7 8 7 4 -2 -3 1 6 12 14 13 12 11 10 10 9 9 10 11 11 11 11 11 11 11 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 11 nan
nan 13 14 14 13 13 12 12 11 11 11 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 9 9 9 8 8 7 7 8 8 8 8 9 9 9 9 10 10 10 10 10 9 9 9 9 10 11 11 10 9 9 9 9 9 10 10 11 11 10 10 11 11 11 11 10 10 9 9 8 8 7 6 5 5 5 6 7 7 7 7 8 8 8 9 9 9 9 9 9 9 8 8 8 9 8 8 7 3 -2 -6 -7 -5 -1 3 6 7 7 7 7 6 6 6 4 2 0 0 2 5 5 4 -1 -5 -2 4 12 18 19 16 13 12 10 10 10 10 10 11 11 11 11 11 11 10 9 9 8 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 11 nan
nan 13 13 13 12 12 12 11 11 11 11 11 11 10 10 9 9 9 9 9 10 10 10 10 10 9 9 10 10 10 9 9 8 8 8 8 8 8 9 9 10 10 9 9 8 7 7 7 8 8 8 9 9 9 9 9 9 9 10 10 9 9 9 9 8 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 10 10 10 9 8 8 7 7 6 6 5 5 6 6 6 6 6 5 4 4 4 5 6 7 8 8 9 9 8 6 5 5 5 4 3 1 -2 -4 -5 -2 3 6 9 9 9 9 9 9 9 8 7 5 3 1 2 4 6 5 3 -1 -1 5 12 20 24 23 19 15 12 11 11 11 11 11 11 11 11 11 11 10 9 9 8 8 9 9 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 11 11 nan
nan 12 12 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 9 10 10 11 11 10 9 8 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 8 9 9 9 9 9 9 10 10 10 10 10 9 9 8 7 7 8 8 8 8 7 7 6 6 5 5 5 6 6 7 7 7 7 6 5 3 3 4 5 5 6 8 9 9 7 4 2 1 1 -0 -1 -2 -2 -1 2 5 8 10 10 10 10 10 10 10 10 10 9 8 8 8 9 9 9 8 6 6 9 15 21 27 26 22 18 14 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 11 11 11 11 nan
nan 12 11 11 11 10 11 11 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 9 10 10 9 9 9 9 8 9 9 9 10 10 11 12 11 11 10 8 8 7 7 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 7 8 8 8 8 7 7 6 5 4 4 5 5 6 7 7 8 8 8 8 7 7 7 6 6 7 8 9 9 7 4 3 2 2 2 2 3 4 6 8 9 9 9 10 10 10 10 10 11 11 11 11 11 11 12 12 12 11 11 11 12 16 21 25 26 22 18 14 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 11 11 11 10 10 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 30 161 462 832 1150 1341 1402 1378 1305 1196 1128 1113 1165 1271 1391 1474 1495 1469 1444 1421 1386 1349 1345 1372 1371 1339 1291 1226 1156 1098 1054 1016 1009 1016 1033 1055 1067 1053 1028 960 859 768 705 657 602 516 389 233 91 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 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 21 112 359 704 1021 1229 1310 1300 1238 1148 1089 1070 1102 1185 1298 1395 1432 1382 1360 1355 1351 1356 1389 1414 1389 1345 1295 1221 1126 1046 999 972 952 927 897 877 874 875 897 863 782 701 638 583 510 391 232 92 20 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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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