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 17 19 18 14 11 10 9 9 8 8 8 9 9 8 8 8 8 7 7 8 8 8 7 7 8 8 8 8 8 8 8 9 10 9 9 8 8 8 8 8 9 9 8 8 8 8 8 7 7 6 6 6 6 6 6 6 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 8 9 9 9 9 8 7 7 7 8 9 10 10 8 7 9 9 10 9 9 9 9 8 7 7 8 8 8 8 7 7 8 8 7 7 7 6 6 6 6 7 7 8 8 8 8 9 10 10 11 11 10 9 7 6 6 7 8 8 7 6 6 7 8 9 9 8 8 8 8 8 9 10 11 11 11 11 11 10 9 8 9 9 9 9 9 8 7 8 7 5 5 7 9 10 9 9 8 7 7 7 7 7 7 8 8 8 8 nan
nan 16 16 14 11 10 9 8 8 8 8 8 9 9 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 10 9 9 9 8 9 9 9 9 9 8 7 7 8 8 7 7 6 6 7 8 8 8 8 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 8 8 7 7 7 8 9 10 10 10 9 9 10 10 10 9 9 9 9 8 8 8 8 8 8 8 7 8 8 8 7 7 6 6 6 6 7 7 8 8 8 8 8 8 9 10 10 11 11 10 8 8 7 7 8 7 6 6 6 7 7 8 8 8 8 8 8 8 9 10 10 11 11 10 10 9 9 9 10 10 10 10 9 7 6 7 6 6 6 8 10 10 9 8 8 7 7 7 7 7 8 8 8 8 7 nan
nan 13 12 11 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 7 7 7 7 7 7 6 6 6 6 7 8 9 10 9 8 8 8 9 9 8 8 7 6 7 7 8 8 8 8 8 8 8 7 7 6 6 6 5 5 5 6 7 7 7 8 9 10 10 9 9 9 10 11 10 10 9 9 9 8 8 8 8 8 8 7 8 8 8 8 8 7 7 6 6 6 7 7 8 8 8 8 8 8 8 9 10 11 11 10 9 9 9 8 9 9 8 7 7 7 7 7 8 9 9 9 9 9 9 10 10 10 9 9 8 9 9 11 11 11 11 10 8 6 5 5 5 6 7 10 10 10 9 8 8 7 7 7 7 8 8 9 8 7 6 nan
nan 11 11 9 8 7 8 7 7 7 7 8 8 8 8 8 9 9 8 7 7 8 8 8 8 8 8 8 9 9 9 8 7 7 9 10 10 10 9 8 6 5 5 7 7 7 6 5 6 7 7 8 9 10 10 8 8 9 10 10 10 9 8 7 6 7 8 9 9 9 9 8 8 8 8 7 7 6 6 6 6 5 6 7 7 7 8 9 9 9 9 9 9 9 10 10 10 9 9 8 8 8 9 8 8 7 8 8 8 8 8 9 9 8 7 7 7 7 8 8 8 8 8 8 8 8 8 9 10 10 10 10 10 10 10 10 10 10 8 8 7 7 7 8 9 9 10 10 10 10 9 9 8 8 8 8 9 10 11 12 12 10 9 6 4 3 4 5 7 9 10 10 10 9 8 8 7 7 7 8 9 9 9 8 6 6 nan
nan 10 11 10 7 7 7 7 7 7 7 7 8 8 8 9 10 10 9 8 7 8 8 8 8 8 8 8 8 8 8 7 6 7 9 10 10 9 7 6 4 4 6 8 8 7 5 6 8 9 9 9 10 10 9 8 9 10 11 11 10 9 8 7 7 8 9 9 10 10 9 9 8 8 8 8 7 7 6 6 6 7 7 8 8 8 9 9 9 9 8 8 8 9 9 9 9 8 8 8 8 9 9 8 7 7 7 7 7 8 8 9 10 9 8 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 11 10 9 8 7 7 7 8 9 9 9 10 10 10 9 8 8 8 8 8 9 10 10 11 10 7 5 3 2 3 5 7 10 11 10 9 8 7 7 7 6 6 7 8 9 10 9 7 7 7 nan
nan 10 11 10 8 6 7 7 7 7 7 8 8 7 8 9 10 10 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 10 10 9 7 6 4 4 5 7 8 7 6 6 7 9 10 10 10 10 10 9 9 10 11 11 10 10 10 9 9 9 9 10 10 10 10 9 8 7 7 8 8 7 6 6 5 5 6 8 9 8 8 9 10 10 9 8 8 9 9 9 9 8 7 7 8 8 9 8 8 8 7 8 8 7 7 8 9 10 9 8 7 7 6 7 7 7 7 8 8 8 8 8 8 8 8 9 9 10 10 10 9 10 10 10 9 8 7 7 7 8 8 8 8 9 10 10 9 9 9 9 9 9 9 9 9 7 4 1 0 2 5 9 12 13 12 9 7 6 6 6 7 7 7 8 9 9 9 9 8 8 8 nan
nan 10 12 11 8 6 7 7 6 6 7 8 8 7 7 8 9 10 9 8 8 8 8 8 8 8 8 8 8 7 7 7 8 9 10 9 8 6 5 4 5 6 8 7 6 6 7 9 11 11 10 10 10 10 10 10 10 11 11 11 10 10 11 11 10 10 10 9 8 8 7 7 7 7 7 7 6 6 5 5 5 7 8 8 8 9 10 10 10 9 9 9 9 10 10 9 8 7 8 8 9 9 9 8 8 8 8 8 7 7 8 9 9 9 9 8 7 6 6 6 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 8 8 9 9 9 8 8 8 7 7 7 6 6 7 9 11 11 11 10 10 9 8 8 8 7 5 3 1 2 5 10 14 16 15 12 9 7 6 6 7 7 8 8 8 8 8 8 8 8 8 8 nan
nan 10 12 11 8 6 6 6 6 6 7 7 7 7 7 8 9 10 10 9 8 7 8 8 8 9 9 8 7 7 7 7 8 8 8 8 7 6 5 4 5 6 7 6 6 7 9 13 13 11 10 9 9 8 8 9 9 9 10 10 10 10 10 10 9 8 7 6 5 5 5 6 6 6 6 6 6 5 5 5 6 7 7 7 7 9 10 10 9 8 8 8 9 9 10 9 8 8 8 9 9 9 9 9 9 8 8 8 7 7 8 8 9 9 9 8 7 7 6 6 6 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 8 9 9 9 8 8 7 7 6 4 5 7 9 11 11 11 10 9 8 8 8 7 6 4 4 6 9 13 16 16 14 10 8 7 7 8 8 8 8 8 7 7 7 7 8 8 8 7 nan
nan 11 11 10 8 7 6 6 6 7 7 7 7 7 7 8 9 10 10 9 8 7 8 9 9 9 9 8 8 7 7 8 8 8 7 7 6 6 5 5 5 6 7 7 7 9 12 14 13 10 9 8 6 6 6 6 7 7 7 7 7 7 6 6 5 5 5 4 4 4 5 5 6 6 6 6 6 6 6 6 7 7 7 6 7 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 7 7 8 8 9 9 8 8 8 7 7 7 6 7 8 8 7 7 7 7 8 8 8 7 6 6 6 6 6 6 7 9 10 10 9 8 9 9 6 4 3 4 7 9 10 11 11 10 8 8 8 7 6 5 6 8 11 13 14 13 10 8 8 8 9 10 9 9 8 7 7 7 7 7 8 8 7 6 nan
nan 12 12 10 9 7 7 7 7 7 7 7 7 6 6 8 9 11 11 10 8 7 8 9 10 10 9 9 8 8 9 9 9 8 7 6 6 6 6 6 6 7 8 9 9 11 12 12 11 9 8 7 6 6 7 7 7 6 5 4 4 3 3 3 4 4 4 4 4 5 5 5 6 6 6 6 7 7 7 7 8 7 7 6 7 8 9 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 7 8 8 8 7 8 8 8 8 8 8 7 7 7 6 5 5 7 9 10 10 9 9 11 11 9 6 4 3 3 5 7 9 9 8 7 6 6 7 6 6 7 9 11 11 11 9 8 8 9 10 10 10 9 8 7 7 7 7 8 8 8 7 6 6 nan
nan 14 13 11 9 8 7 7 8 8 7 7 7 6 6 7 9 10 11 10 8 7 7 9 10 10 10 9 9 10 10 10 9 8 7 6 6 6 6 7 7 8 10 11 11 11 11 11 10 9 8 8 8 9 9 9 8 6 4 3 2 2 3 3 4 4 4 5 5 5 5 6 6 7 7 7 7 7 7 7 8 7 7 7 7 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 7 8 8 9 9 9 9 8 9 9 9 9 9 8 7 6 6 7 8 9 9 10 12 12 11 9 7 3 1 2 4 7 8 7 7 6 5 6 5 6 7 9 10 10 8 8 9 10 11 11 10 10 9 8 6 6 7 8 8 8 7 6 6 6 nan
nan 16 16 13 10 8 8 8 8 8 7 7 7 6 6 6 7 9 10 9 8 6 6 7 9 10 11 11 11 12 12 10 9 8 8 8 8 8 8 8 8 9 10 11 11 11 11 10 9 8 8 8 8 9 9 9 7 5 3 2 2 3 4 5 5 5 5 5 5 5 6 8 8 8 7 7 7 7 7 7 7 7 6 6 7 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 7 7 8 9 10 10 10 10 10 10 10 11 11 11 9 6 5 5 6 7 9 10 11 12 12 12 10 6 3 2 4 7 8 8 7 6 6 6 6 6 7 8 9 9 8 8 9 11 11 10 9 9 8 7 6 7 8 8 8 7 6 5 6 6 nan
nan 17 17 15 11 9 8 8 8 7 7 7 7 6 5 5 6 7 8 8 7 5 6 7 9 11 12 12 12 13 12 10 9 9 9 9 9 9 9 8 8 8 9 10 10 11 10 10 9 7 7 8 8 8 8 8 7 5 3 2 4 6 7 7 6 5 5 5 6 8 9 10 10 9 7 7 7 7 7 7 7 6 6 6 6 7 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 7 8 8 9 9 8 8 8 8 8 7 7 7 7 7 7 8 9 10 10 10 10 10 10 11 12 12 9 6 4 4 5 7 8 9 10 11 12 12 11 9 7 6 6 7 7 7 7 7 7 7 6 5 5 6 7 8 7 7 8 9 9 8 8 8 8 7 7 8 8 8 7 5 5 6 6 7 nan
nan 15 16 14 11 9 8 7 7 7 7 7 7 6 5 4 5 6 7 7 7 6 7 9 11 12 12 11 12 12 11 10 10 10 10 10 10 10 9 8 8 8 8 9 10 10 10 10 10 8 7 7 7 7 8 8 7 5 3 3 5 8 8 7 6 6 6 7 9 11 12 11 9 8 7 7 7 8 8 8 8 8 7 6 6 6 6 7 8 8 7 6 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 7 8 8 9 9 9 8 7 7 7 7 8 8 8 7 7 7 8 9 9 10 10 10 10 11 11 11 9 5 4 5 6 7 8 8 9 10 10 11 11 10 10 9 9 8 7 6 7 8 9 9 7 5 4 4 5 6 7 7 7 7 7 6 7 7 7 7 8 9 8 7 6 5 5 7 8 8 nan
nan 13 14 13 10 9 8 7 7 7 7 7 7 6 5 4 4 6 7 8 7 7 8 10 11 11 11 10 10 11 11 10 9 9 9 9 9 9 9 8 8 9 9 9 9 9 8 9 10 9 7 7 7 8 8 9 8 6 4 4 7 8 8 6 6 7 9 10 11 11 10 8 7 7 7 8 8 8 9 9 9 9 8 7 6 6 5 6 7 8 7 7 7 7 7 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 7 8 8 9 9 8 7 6 6 7 8 8 8 8 7 7 6 7 8 10 11 11 11 11 11 10 8 6 5 5 7 7 8 8 8 8 9 9 9 10 10 11 10 9 8 8 9 10 10 10 10 8 6 5 5 6 7 7 8 7 5 4 5 6 7 8 8 8 7 6 5 5 7 8 9 9 nan
nan 12 13 11 9 8 8 7 7 7 7 7 7 7 6 4 4 6 7 8 8 9 10 10 10 10 9 9 10 11 10 9 9 9 9 9 9 9 9 8 9 9 10 9 9 9 8 9 10 9 8 7 8 8 9 9 8 5 4 5 7 7 6 6 7 9 11 11 11 8 6 6 6 7 7 8 8 9 9 9 9 9 8 8 7 6 6 6 7 8 8 7 7 7 7 7 8 8 8 8 8 8 8 7 7 8 8 8 8 8 7 8 8 9 9 8 7 6 6 7 8 8 8 8 8 7 6 7 8 10 12 12 11 11 10 10 9 7 6 6 7 7 7 7 7 7 7 7 8 9 10 10 10 10 10 10 11 11 12 12 12 12 11 9 8 8 8 7 7 6 4 4 5 6 7 7 7 7 6 5 5 6 8 9 9 9 nan
nan 12 13 11 9 8 7 7 7 7 7 7 8 8 7 5 4 6 7 9 9 10 10 10 9 8 8 9 10 10 10 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 8 9 10 10 9 9 9 10 11 11 7 4 3 5 6 6 6 7 9 11 11 10 8 6 6 6 7 7 8 8 8 8 8 8 8 8 8 9 8 7 7 6 7 8 8 8 8 7 7 7 7 7 8 8 8 9 9 8 8 8 8 8 8 8 8 8 9 9 9 8 7 6 6 7 8 8 8 8 8 7 7 7 9 10 10 10 9 9 10 11 11 10 8 7 7 7 7 7 8 7 7 7 7 8 9 9 9 10 9 10 11 11 11 11 12 13 13 11 10 9 8 6 5 5 5 6 6 6 6 6 6 5 5 5 6 7 8 9 9 8 nan
nan 13 14 12 10 9 8 8 7 8 8 8 8 8 7 6 5 6 7 9 10 10 10 10 9 8 8 9 9 9 9 10 10 10 9 8 8 8 9 9 9 9 9 9 9 8 8 8 9 10 10 10 11 12 12 10 7 4 4 5 6 7 8 9 10 10 10 8 7 7 7 7 8 8 7 8 8 8 8 7 7 7 7 8 8 8 7 6 6 7 7 8 8 8 7 7 7 7 7 8 8 9 9 9 8 8 8 8 8 7 8 8 8 9 9 8 7 6 6 7 8 9 8 8 8 8 8 8 8 8 7 7 7 8 10 11 11 11 10 9 7 7 7 7 8 8 8 7 7 8 8 8 9 9 9 9 10 10 10 11 11 12 12 11 10 9 7 5 5 5 6 7 7 6 5 4 5 5 5 6 7 8 9 9 8 8 nan
nan 14 15 14 12 10 9 8 8 9 9 9 9 9 8 6 6 6 7 8 9 10 10 10 10 10 9 9 9 9 10 10 11 10 9 8 8 8 9 9 9 8 8 8 8 7 7 7 8 9 10 11 12 12 11 8 6 5 6 7 9 10 11 11 10 9 8 8 7 7 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 7 6 6 5 6 7 7 7 8 8 8 8 7 7 8 8 9 9 9 9 9 8 7 7 7 7 8 8 9 8 8 7 6 6 7 8 9 9 8 8 8 8 8 8 8 7 7 8 9 10 10 11 11 11 9 7 6 7 7 8 8 8 8 8 8 8 7 8 8 9 9 9 9 9 10 11 10 10 9 8 7 6 5 6 7 7 7 6 5 4 4 5 6 6 7 7 8 8 8 8 8 nan
nan 14 15 15 14 12 11 10 10 10 10 10 10 9 8 7 6 6 6 7 9 10 11 12 12 11 10 9 9 9 10 10 10 10 9 8 8 8 9 9 8 7 7 7 7 7 7 8 9 9 10 11 12 12 11 8 7 7 8 10 12 13 12 11 9 8 7 7 7 7 8 8 7 7 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 9 9 9 9 8 7 7 7 7 7 8 9 8 7 7 7 7 7 8 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 10 10 10 9 8 7 7 7 8 9 9 9 8 8 8 7 7 8 8 8 8 8 8 9 9 8 8 7 7 7 6 7 7 8 8 7 5 4 4 5 6 7 7 7 8 7 7 8 8 8 nan
nan 13 15 16 15 13 11 11 10 11 11 11 11 10 9 7 5 5 5 7 8 10 12 13 12 11 10 9 9 9 10 10 9 9 9 9 9 8 8 8 7 6 6 7 7 8 9 9 10 10 10 11 11 12 11 9 8 10 12 13 13 12 10 8 7 6 6 7 8 7 7 7 7 7 8 8 7 7 6 6 7 7 6 6 7 7 7 7 7 7 6 6 6 6 6 6 6 7 7 8 8 8 9 9 9 8 8 7 7 7 7 8 9 9 8 7 7 7 7 7 8 8 8 9 9 10 10 10 10 10 9 9 9 9 8 8 8 9 9 8 7 7 7 7 8 8 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 6 6 6 7 6 6 7 8 8 8 7 6 6 6 7 8 9 8 8 8 7 7 8 9 9 nan
nan 12 14 16 15 13 11 10 10 11 12 12 12 11 9 7 5 4 5 7 8 10 12 12 12 11 10 9 9 9 9 9 9 9 9 9 9 8 7 6 6 6 6 7 8 9 10 11 10 9 9 10 11 10 10 10 11 13 14 13 12 11 9 7 6 5 6 8 8 8 8 7 7 7 8 8 8 7 7 7 7 7 6 7 7 7 7 8 8 7 7 7 6 6 6 5 5 6 7 8 8 9 9 9 8 8 8 7 7 7 7 8 9 8 7 7 7 7 7 7 7 8 8 8 9 9 10 10 10 10 10 10 9 9 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 9 10 9 8 8 8 8 8 9 10 10 nan
nan 13 14 14 13 11 9 9 10 11 12 12 11 10 9 7 5 4 5 7 8 10 11 11 11 10 9 10 10 9 9 8 8 8 9 9 8 7 6 6 6 6 7 8 9 10 10 11 10 9 9 9 10 10 11 13 15 15 14 12 11 9 8 7 6 6 7 7 8 9 9 9 8 8 8 8 8 8 8 7 7 7 6 7 7 7 8 8 8 7 7 7 7 7 6 5 5 6 7 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 9 9 10 10 10 10 11 11 11 10 9 8 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 8 8 8 8 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 10 10 10 10 nan
nan 13 13 13 11 9 7 7 9 10 11 11 10 9 7 6 5 4 5 6 7 9 10 10 9 9 9 9 10 9 9 8 8 8 9 9 8 7 6 6 6 7 7 8 9 10 11 11 10 9 8 9 9 11 13 15 16 15 13 12 10 8 7 6 6 6 7 7 8 9 9 9 8 8 8 8 8 7 6 6 7 6 7 7 7 8 8 8 8 8 8 8 8 7 6 6 5 6 7 8 9 10 9 8 8 8 8 8 8 8 8 8 8 7 7 8 8 7 7 8 8 8 8 9 9 10 9 9 9 10 10 12 12 11 10 9 8 8 8 8 8 8 8 8 8 7 7 8 9 9 9 9 9 9 8 8 9 9 9 8 8 8 9 9 9 8 8 8 7 8 8 8 7 7 8 8 9 9 9 9 9 10 10 10 9 9 nan
nan 13 13 12 9 6 6 7 8 9 10 9 8 7 6 5 5 5 5 6 7 8 9 9 8 8 8 9 9 9 9 9 9 9 10 9 8 7 6 6 6 7 7 8 9 10 11 10 10 9 9 9 11 13 15 15 14 13 11 10 8 6 5 5 6 7 8 8 8 9 9 8 8 8 7 6 5 5 5 6 7 7 7 7 7 8 8 8 7 8 8 8 8 8 7 6 6 5 6 8 10 10 9 8 8 8 9 9 9 8 7 7 7 7 8 8 8 8 8 8 8 8 9 9 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 8 6 6 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 8 8 8 8 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 nan
nan 13 12 11 8 6 6 6 7 7 8 8 7 6 6 5 5 5 6 6 7 7 8 8 8 8 7 8 8 9 9 9 9 10 10 9 8 7 6 6 6 6 7 9 9 10 10 10 10 9 10 10 12 13 14 13 12 10 9 8 7 5 5 5 7 9 10 9 8 8 8 7 7 7 6 5 5 5 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 6 6 7 8 9 10 9 8 7 8 8 9 8 7 7 7 7 7 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 9 8 7 7 8 9 10 11 11 10 8 8 8 9 9 8 7 6 6 7 8 9 9 9 9 9 9 9 9 8 9 9 10 10 10 9 8 8 8 9 9 9 9 8 8 8 8 8 9 9 8 8 8 8 9 10 10 nan
nan 12 12 11 8 7 6 6 6 7 7 7 6 6 5 5 5 6 7 7 7 7 8 9 9 8 7 7 7 8 8 9 9 10 10 9 8 7 6 6 6 7 8 9 10 10 10 10 10 10 10 10 11 12 12 11 10 9 7 7 6 6 7 7 9 10 11 9 8 7 7 7 7 6 6 5 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 6 6 6 7 8 9 9 8 7 6 6 7 7 7 7 6 6 7 7 7 8 8 8 8 8 9 9 9 9 9 9 10 10 10 9 8 7 7 8 10 11 12 11 9 7 6 6 8 9 9 8 7 6 6 8 9 9 10 9 9 9 9 8 8 9 9 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 9 9 10 11 nan
nan 12 11 11 9 8 7 7 7 7 8 7 6 6 5 6 6 7 7 7 7 7 8 9 9 8 7 7 7 8 9 9 9 10 10 9 8 7 6 6 6 7 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 8 8 9 10 10 10 10 9 7 7 7 7 7 6 6 6 6 7 7 7 8 8 8 7 8 8 7 7 7 8 8 8 8 7 7 7 7 6 7 7 9 9 9 8 7 7 6 6 6 7 7 6 6 6 7 7 8 7 8 8 8 9 9 9 9 8 8 9 10 10 10 9 8 9 10 11 11 11 11 9 6 5 6 8 9 10 9 8 7 7 7 9 9 10 9 9 8 8 8 9 9 10 10 10 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 9 9 9 10 10 10 11 nan
nan 12 11 11 10 9 8 7 7 8 8 7 6 6 6 6 7 8 8 8 7 7 8 8 9 8 7 7 8 8 9 10 10 10 9 9 8 7 7 6 6 7 8 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 10 10 11 12 11 10 8 6 6 7 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 9 8 8 8 8 8 7 7 6 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 8 8 9 10 10 10 9 9 10 11 11 11 11 10 9 8 7 8 9 9 9 9 9 8 8 8 8 9 9 8 8 8 8 9 9 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 9 9 10 10 10 10 11 nan
nan 12 12 12 11 10 8 8 8 8 7 7 6 6 6 7 8 8 8 8 7 7 8 8 8 8 8 8 8 9 10 10 10 10 9 8 8 7 7 6 6 7 8 9 9 9 9 10 9 8 7 7 7 8 8 8 9 10 10 11 11 12 11 10 8 5 4 6 8 9 8 7 7 7 8 8 9 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 8 8 9 8 8 8 8 9 9 8 7 7 7 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 9 9 10 10 11 10 10 9 10 10 10 9 10 10 10 9 9 9 10 9 8 9 9 9 8 7 7 7 7 8 8 8 9 9 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 9 9 9 10 10 10 nan
nan 12 12 12 12 10 9 8 8 8 7 7 7 7 7 8 8 8 8 7 7 8 8 8 9 9 9 8 8 9 10 10 10 9 8 8 7 7 7 6 7 7 8 9 9 9 10 9 9 8 7 7 8 8 8 8 9 10 10 10 11 11 10 8 7 6 6 7 9 9 8 7 7 7 8 9 10 11 12 12 11 10 10 10 9 9 9 9 8 8 8 9 9 8 8 8 8 9 8 8 8 8 8 9 9 8 8 7 7 8 8 8 9 9 9 9 9 9 9 10 10 11 10 10 10 10 11 11 12 11 10 9 9 8 8 9 10 10 9 8 8 9 10 9 9 9 9 9 8 7 7 6 7 7 8 9 9 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 9 10 10 9 nan
nan 12 12 13 12 11 9 9 9 8 8 8 8 8 8 8 9 8 7 7 7 8 8 9 9 9 8 8 8 8 9 10 10 9 9 8 7 7 7 7 7 7 8 9 9 9 9 9 8 8 7 7 8 8 8 9 9 9 9 10 10 10 9 10 9 9 8 9 9 9 8 7 8 8 9 10 11 12 12 12 11 11 10 10 9 9 9 9 8 8 8 8 8 9 9 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 10 9 7 7 7 9 10 10 9 7 7 9 10 10 10 10 10 10 9 8 7 7 7 8 8 9 10 10 10 10 10 10 9 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 7 7 8 9 9 9 8 nan
nan 12 13 13 13 12 10 10 9 9 9 9 8 8 9 9 9 8 8 7 8 8 9 9 9 9 8 7 7 8 9 9 9 9 9 9 8 8 8 7 7 8 8 8 8 8 8 8 8 7 7 7 8 9 9 10 9 9 9 9 9 9 10 12 12 11 9 9 9 9 9 9 9 10 11 11 11 11 11 10 10 10 9 9 9 9 9 9 8 8 8 8 8 10 11 11 10 9 8 8 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 8 8 7 8 9 10 10 9 8 8 9 10 10 10 11 12 12 11 10 8 8 8 7 8 9 9 10 10 10 10 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 7 6 8 9 8 7 7 nan
nan 12 12 13 13 12 11 10 10 10 10 10 9 9 9 10 9 9 8 7 8 8 8 9 9 9 8 7 7 8 9 9 9 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 9 10 10 10 10 9 9 9 9 11 12 13 12 11 10 9 9 10 10 11 11 12 12 11 9 8 8 8 8 8 8 8 9 9 8 8 8 8 8 9 11 11 11 10 9 8 8 7 7 7 7 7 7 8 8 8 8 9 9 10 9 9 9 9 9 9 10 10 10 10 10 10 11 10 9 8 8 8 9 9 9 9 9 10 9 9 9 10 10 10 10 10 11 12 12 11 10 9 9 8 7 7 8 9 10 10 10 10 9 9 8 9 9 9 8 9 9 9 9 9 9 9 9 8 8 8 7 7 8 8 7 6 6 nan
nan 11 12 12 12 12 11 10 10 10 11 11 10 9 9 10 10 9 8 8 8 8 8 9 9 9 8 7 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 8 9 9 10 10 10 10 10 10 9 10 11 12 12 11 11 11 11 11 11 11 11 12 12 11 9 8 7 7 7 8 8 8 8 9 9 8 8 8 8 8 9 10 10 10 9 8 8 8 8 8 8 7 7 7 7 7 8 8 9 9 9 9 9 9 10 10 10 10 9 8 8 9 10 11 10 9 7 7 8 9 10 10 10 9 9 8 9 10 10 10 9 9 9 10 11 11 11 10 10 10 8 7 7 8 9 10 10 10 10 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 6 6 6 nan
nan 12 13 13 12 11 10 9 9 11 11 11 10 10 10 11 10 10 9 9 8 8 8 8 9 8 8 8 8 9 10 10 10 9 9 9 9 9 8 8 8 8 8 8 9 10 9 9 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 12 13 13 12 11 11 10 10 8 8 7 7 7 8 8 8 8 8 9 9 9 9 8 8 8 8 9 9 10 9 8 7 8 8 8 8 8 7 7 7 7 8 8 9 9 9 9 9 10 9 10 10 9 9 8 8 9 10 11 10 8 7 7 8 9 10 10 9 9 8 8 9 10 10 10 9 8 8 10 11 11 11 11 11 11 9 8 8 8 9 10 10 10 10 10 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 7 6 5 5 nan
nan 13 14 13 12 11 10 9 9 10 11 11 10 10 10 11 11 11 11 10 9 8 8 8 8 8 8 8 9 10 11 11 10 10 10 10 9 8 7 7 7 8 8 9 10 10 10 9 8 8 8 9 9 9 8 8 8 8 8 9 10 10 10 10 10 10 11 12 12 12 11 10 8 8 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 9 9 10 9 8 8 8 8 8 8 8 8 7 7 8 8 9 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 8 8 8 9 9 9 8 8 8 8 9 10 10 10 9 8 8 9 9 10 10 11 12 11 9 8 8 8 9 9 10 10 10 10 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 9 8 6 6 6 nan
nan 13 14 14 13 11 10 9 9 10 11 11 10 10 11 11 11 12 12 12 10 9 9 8 8 8 9 9 10 11 11 11 11 11 11 10 9 8 7 7 7 8 8 9 9 9 9 8 8 8 8 9 9 8 8 7 7 8 8 9 9 10 10 10 11 11 12 11 11 10 9 8 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 8 9 9 8 8 8 8 9 9 9 9 8 8 9 9 8 8 8 7 8 9 10 10 9 9 9 9 9 9 9 10 10 10 10 10 11 11 10 9 9 9 10 10 9 9 9 8 8 8 7 8 9 9 9 9 9 9 8 8 9 10 11 11 10 9 8 7 8 9 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 10 10 9 8 7 7 7 nan
nan 12 13 13 13 12 11 9 9 10 10 10 10 10 10 11 11 12 12 11 11 10 10 9 9 8 9 10 10 11 11 11 11 11 11 11 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 7 7 7 7 8 9 9 9 10 10 10 10 11 10 10 9 8 7 7 8 8 9 9 9 10 10 10 10 10 10 9 9 9 9 8 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 10 10 9 10 10 11 11 11 10 10 9 7 6 6 7 8 8 9 9 10 9 8 8 8 9 10 10 9 8 8 7 8 9 10 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 nan
nan 11 11 11 11 11 11 10 9 9 9 10 10 10 10 11 11 12 11 11 10 10 10 10 9 8 9 10 11 10 10 10 11 11 12 11 11 10 9 9 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 7 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 10 10 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 10 11 11 11 11 10 9 8 7 7 8 8 8 9 10 10 9 8 8 8 9 9 9 9 8 8 8 8 9 10 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 8 8 nan
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nan 13 13 13 14 14 14 14 13 13 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 9 9 9 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 9 9 9 9 10 10 10 10 9 9 8 8 7 7 7 7 8 9 9 10 11 11 11 11 11 10 9 8 8 8 9 9 9 10 10 10 9 9 9 10 10 10 10 11 11 11 10 10 9 9 9 8 8 8 8 7 5 1 -1 -1 2 5 7 8 9 9 13 18 20 19 17 14 11 9 8 7 6 7 8 11 13 13 12 11 10 10 11 11 10 7 1 -3 -3 -1 2 7 9 9 8 7 4 -2 -5 -4 2 8 11 13 16 22 25 23 19 15 13 12 12 11 10 10 9 9 10 11 12 12 nan
nan 13 13 13 13 14 13 11 11 11 11 11 11 11 12 13 13 13 12 11 10 10 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 7 8 8 8 8 8 9 10 10 11 11 10 10 9 9 8 8 7 7 7 7 8 8 9 9 10 11 11 11 11 10 10 10 9 9 9 9 9 10 10 10 9 9 8 9 9 9 9 10 11 11 11 11 11 10 10 9 9 8 8 8 8 6 2 -1 -1 1 4 7 8 9 9 11 16 18 19 18 15 11 10 9 8 8 9 11 13 14 12 11 9 9 12 13 13 12 10 6 5 5 5 5 7 8 6 5 3 -2 -5 -6 -1 6 10 12 13 16 21 22 21 17 14 12 11 11 11 10 10 10 10 11 12 12 12 nan
nan 13 13 13 13 12 10 9 9 10 10 10 10 12 13 13 13 12 12 11 10 11 11 11 11 11 10 10 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 8 9 10 11 11 11 11 10 9 9 9 8 8 7 7 7 8 8 8 8 9 10 11 11 11 10 10 10 10 10 9 9 10 10 11 10 9 8 8 8 9 9 9 9 9 10 11 12 12 12 11 10 10 9 8 8 8 8 7 3 -1 -2 -0 3 6 8 8 8 10 14 17 21 20 15 12 11 10 10 10 10 11 12 12 10 9 9 12 14 14 14 14 12 11 11 10 8 6 6 4 2 0 -3 -6 -6 -2 4 10 12 13 13 15 18 19 19 16 13 12 12 11 11 10 10 10 11 11 12 12 12 nan
nan 14 14 14 13 11 10 9 10 10 10 10 11 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 11 11 11 11 10 10 9 9 8 8 8 7 7 8 8 8 8 9 10 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 10 8 7 8 9 10 10 9 8 9 11 12 13 13 12 11 10 9 8 8 9 9 8 4 0 -2 -2 2 6 8 8 8 9 12 17 21 20 16 13 11 11 10 10 10 10 9 9 9 9 11 14 15 14 13 13 12 12 12 11 9 7 6 5 2 0 -2 -1 2 6 10 12 13 12 11 13 14 15 16 14 13 13 13 12 11 10 10 10 10 11 11 11 11 nan
nan 15 15 15 13 12 11 11 11 11 11 11 12 11 10 10 10 11 10 10 10 11 11 11 11 11 11 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 9 10 11 11 11 11 10 10 10 9 9 8 8 7 7 7 8 8 9 9 10 10 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 10 9 8 8 9 10 10 9 8 9 10 11 13 13 12 11 10 9 9 9 10 10 8 5 2 -2 -3 1 5 7 8 8 8 11 15 19 19 16 13 11 10 10 9 9 8 8 9 10 11 13 13 13 13 12 12 11 12 12 12 11 11 10 8 5 4 5 7 9 12 13 12 11 10 9 9 10 12 14 15 16 15 14 13 12 11 10 10 10 10 10 10 10 nan
nan 15 15 14 14 13 12 12 11 11 11 11 11 10 10 10 11 10 10 10 10 10 10 11 11 11 11 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 9 10 10 11 11 11 11 10 10 9 9 9 8 8 7 7 7 8 9 10 10 11 11 11 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 9 8 8 9 9 9 9 8 9 10 11 12 13 12 11 11 10 10 11 11 11 9 7 3 -1 -3 0 4 6 8 8 8 9 12 16 17 16 13 10 9 9 9 9 9 10 11 12 13 13 12 11 11 11 11 11 12 12 13 13 13 11 8 6 6 8 9 11 12 12 10 9 8 8 8 9 12 15 18 19 18 15 13 12 11 10 9 8 7 6 7 10 nan
nan 13 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 10 10 10 11 11 10 10 10 9 9 9 9 8 8 7 8 8 9 10 11 12 12 11 10 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 11 12 12 12 11 11 10 11 11 11 12 12 11 8 4 -2 -3 -0 3 6 8 8 8 8 10 13 16 16 14 11 10 9 10 10 10 11 12 13 13 12 11 11 11 11 12 12 12 11 12 12 12 9 5 3 5 7 9 10 10 9 8 7 7 8 9 10 13 17 20 21 19 16 13 12 10 7 4 1 -1 -0 4 9 nan
nan 11 10 9 9 9 9 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 10 9 9 9 9 9 9 9 8 8 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 11 11 12 12 11 10 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 11 11 11 12 12 11 10 10 10 12 12 11 11 11 11 8 3 -2 -4 -1 3 6 8 8 7 7 8 11 16 18 17 14 11 10 10 11 11 11 11 11 12 12 11 11 12 12 12 11 10 10 10 11 10 7 2 1 3 5 7 8 8 7 7 7 8 9 11 12 13 16 20 22 21 17 13 8 5 1 -3 -6 -6 -2 8 14 nan
nan 10 9 9 9 9 10 10 11 11 11 12 12 11 11 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 11 11 12 12 11 10 10 9 9 9 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 11 10 10 11 12 11 11 11 12 13 12 11 9 6 5 4 1 -2 -3 -0 4 7 8 8 7 7 7 11 16 19 19 15 11 10 11 10 9 9 10 10 11 11 11 11 12 11 10 9 9 10 11 12 10 5 -0 -2 -0 3 5 6 6 6 7 8 10 11 12 12 13 15 20 23 23 17 9 2 -2 -4 -5 -4 -0 9 19 22 nan
nan 11 10 10 10 11 11 11 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 9 9 8 9 10 10 10 10 9 9 10 11 12 12 12 11 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 11 10 10 10 10 10 10 10 11 12 12 13 14 15 14 13 10 5 -0 -2 -1 -1 -1 1 3 5 7 7 7 7 7 7 11 16 18 18 13 9 8 7 6 6 8 9 9 9 9 10 11 10 9 9 10 11 12 13 12 8 3 -2 -3 -1 2 3 4 5 7 9 11 12 13 13 13 13 16 21 25 24 14 3 -4 -5 -3 -0 3 9 19 25 25 nan
nan 10 11 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 10 10 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 10 11 12 12 12 12 11 10 10 10 10 9 9 9 9 10 10 11 10 10 11 11 11 10 10 10 10 10 11 12 13 14 14 14 14 14 13 11 6 1 -1 -2 -1 2 6 8 7 6 6 6 7 7 8 10 13 14 13 9 6 3 1 2 6 9 11 9 8 9 10 10 10 10 11 12 13 13 12 10 6 0 -4 -5 -2 0 2 4 7 9 11 12 13 13 13 13 14 18 23 26 19 7 -2 -5 -2 3 6 9 13 19 23 25 nan
nan 10 11 12 12 12 12 11 11 10 10 10 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 9 8 8 8 8 9 8 8 8 8 8 8 8 8 9 10 10 10 10 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 10 11 11 12 12 11 11 11 11 11 10 10 9 9 9 10 11 11 11 11 11 11 11 11 11 10 10 11 11 12 13 13 13 13 13 13 12 12 10 6 2 -1 -2 3 9 12 10 5 3 5 7 8 9 9 9 9 8 7 4 2 1 4 11 15 14 11 10 11 12 12 11 12 13 14 14 13 11 9 5 -2 -6 -6 -3 0 4 7 10 12 13 13 13 13 13 14 18 23 26 22 9 0 -3 -1 4 8 10 11 14 19 24 27 nan
nan 9 10 11 11 11 11 11 11 10 10 9 9 9 8 8 8 9 9 10 10 11 11 11 11 10 10 9 8 8 8 8 8 8 8 8 7 8 8 8 9 10 10 10 10 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 8 8 9 9 9 9 10 10 11 11 11 10 10 11 11 11 11 11 10 9 9 9 10 11 11 11 11 11 11 12 11 10 10 11 11 12 12 12 11 11 11 12 12 12 11 9 5 1 -3 2 10 12 9 3 1 4 7 9 9 9 8 8 8 8 6 4 5 11 17 17 15 13 13 14 14 14 14 14 14 14 13 11 9 6 1 -6 -9 -7 -3 3 8 10 13 14 14 13 13 13 13 16 21 24 23 12 1 -3 -1 4 8 10 11 12 16 22 28 30 nan
nan 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 11 11 11 11 10 10 9 8 8 8 8 8 8 8 7 7 7 8 9 10 10 10 10 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 10 10 10 11 10 10 11 11 11 12 12 11 11 10 9 9 9 10 11 11 11 11 12 12 11 11 10 11 11 11 11 10 10 10 10 11 12 12 12 10 8 4 1 4 8 8 5 1 0 4 7 9 9 9 9 9 9 8 7 7 10 14 16 15 14 14 15 15 14 14 14 14 14 12 9 6 2 -1 -7 -11 -10 -6 1 8 11 13 14 14 13 13 13 13 14 17 19 19 12 1 -3 -2 3 8 10 11 12 15 20 26 31 29 nan
nan 10 10 10 10 10 10 11 11 10 10 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 10 9 9 8 8 8 8 8 7 7 7 7 8 9 10 10 10 9 9 8 8 7 7 8 8 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 12 12 11 10 10 9 9 9 10 10 10 11 11 11 11 10 10 10 10 11 10 10 9 9 10 10 11 11 11 11 10 9 7 6 5 3 0 0 3 6 8 9 9 9 9 10 9 9 9 9 11 12 12 12 14 15 15 14 13 13 13 13 11 8 3 -2 -7 -9 -11 -10 -5 1 8 12 14 14 14 13 13 14 15 15 16 16 15 12 5 0 0 4 8 10 11 12 15 20 26 30 31 26 nan
nan 9 10 10 10 11 11 12 11 11 10 9 9 9 9 8 8 8 9 9 9 10 10 11 12 11 11 10 9 9 8 8 8 7 7 7 7 8 9 9 9 9 9 9 8 8 7 7 8 8 9 9 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 10 10 10 10 11 11 11 12 12 12 12 11 11 10 8 8 8 9 10 11 10 10 10 9 9 9 9 10 10 10 9 9 9 9 9 10 10 10 10 11 11 10 7 3 -1 -1 2 5 7 8 9 9 9 10 10 10 10 10 10 10 10 10 12 17 19 17 16 14 12 10 8 5 1 -4 -8 -9 -8 -5 -0 4 9 13 14 14 14 14 14 16 18 20 20 18 16 14 10 6 5 6 9 10 11 13 16 21 27 31 31 27 20 nan
nan 9 9 10 11 12 12 12 12 11 10 9 9 8 8 7 7 8 8 8 9 9 10 12 12 12 12 11 10 9 9 8 7 7 6 6 7 8 9 9 9 9 9 8 7 7 7 8 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 10 10 10 10 10 11 12 12 12 12 12 11 10 9 8 9 9 10 10 10 9 9 9 8 8 9 10 10 10 9 9 8 9 9 9 9 10 10 10 11 10 7 3 -0 1 6 8 9 9 10 10 10 9 10 10 10 10 10 10 9 10 13 19 20 19 17 13 8 4 1 -2 -4 -5 -5 -3 1 5 9 11 13 13 14 14 15 16 18 22 25 27 25 20 17 14 10 8 7 8 10 11 13 16 22 28 31 31 26 19 13 nan
nan 10 11 11 12 13 13 12 11 10 9 9 8 8 7 7 7 7 8 8 9 10 11 12 12 12 12 12 11 10 9 8 7 6 6 6 7 9 9 9 9 9 8 7 7 7 8 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 10 10 10 9 9 9 9 10 10 10 10 9 8 8 9 9 10 10 10 9 9 10 11 11 12 12 12 11 10 9 9 9 9 9 9 9 10 9 8 8 8 9 10 10 10 9 8 8 8 8 8 9 10 10 10 11 11 9 6 5 8 10 11 11 12 12 11 9 8 9 10 11 11 11 10 10 10 13 17 18 18 16 10 4 1 -1 -1 0 2 4 7 10 12 13 14 14 15 17 19 21 22 25 27 29 26 21 16 12 8 5 4 6 9 11 13 16 22 29 31 29 24 17 12 10 nan
nan 11 11 12 13 13 13 12 11 10 9 8 8 8 7 7 7 7 8 8 9 10 11 12 12 12 12 12 12 11 10 9 7 5 5 5 7 9 10 9 9 8 7 7 7 8 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 10 10 9 9 9 9 10 11 11 11 11 10 9 9 10 10 10 10 10 9 9 9 9 10 11 11 11 10 9 9 10 10 10 9 9 9 10 9 7 7 8 9 10 10 10 9 8 8 8 8 9 9 10 10 11 11 11 10 10 11 13 13 12 12 13 13 11 7 7 10 13 14 14 13 11 11 12 15 18 20 22 19 12 8 7 7 9 10 12 13 16 17 17 16 15 17 20 22 23 23 23 23 22 19 14 10 6 3 0 -0 3 8 12 15 18 22 28 30 27 22 15 11 10 10 nan
nan 11 11 12 12 12 12 11 10 9 8 8 8 8 8 7 7 8 8 8 9 10 11 11 12 12 12 13 13 12 11 9 7 5 5 7 9 10 10 9 8 7 8 8 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 11 11 11 11 11 11 10 9 9 9 10 10 10 10 10 9 10 10 11 10 10 9 9 9 8 7 8 9 9 10 10 9 9 9 9 9 9 10 10 11 11 11 12 12 11 11 12 12 11 10 11 12 11 9 7 9 15 18 19 17 14 13 15 18 22 26 30 31 26 19 16 15 16 17 17 18 19 20 19 15 12 12 16 18 18 16 15 14 12 8 5 4 5 6 5 5 8 13 17 19 21 24 27 29 26 20 15 11 10 11 11 nan
nan 11 11 11 11 11 10 9 9 8 8 9 9 9 9 8 8 8 7 8 9 10 10 11 11 12 12 13 13 12 10 9 7 6 8 10 11 11 10 8 8 8 9 9 10 10 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 9 9 10 10 10 10 10 11 11 11 11 11 11 12 12 11 10 9 9 10 10 10 10 10 9 10 10 10 10 9 9 9 8 7 8 8 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 12 11 11 11 11 10 10 9 10 10 9 9 10 14 18 20 20 17 15 16 19 24 29 32 33 30 25 21 19 18 17 17 18 17 16 14 10 6 3 6 11 13 12 9 9 8 7 6 7 11 15 18 16 16 19 21 22 23 24 25 25 22 18 14 11 11 11 11 11 nan
nan 11 11 11 11 10 9 9 8 8 8 9 9 9 9 9 8 8 7 8 9 9 10 10 11 11 11 11 11 10 10 9 9 10 11 12 11 10 8 8 8 9 10 10 10 10 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 9 10 10 10 10 9 9 9 10 9 9 9 8 8 8 8 8 9 9 9 10 10 10 10 11 10 10 10 10 10 11 11 11 11 11 11 10 9 9 9 9 9 9 9 10 12 15 16 16 15 13 14 17 20 24 27 26 24 20 17 15 15 14 14 14 13 11 9 7 5 5 6 10 15 17 17 16 15 15 15 17 20 23 25 24 20 18 18 18 18 19 19 18 16 14 12 11 11 11 12 11 9 nan
nan 11 11 11 11 10 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 10 10 11 10 10 9 10 10 11 11 11 11 10 9 8 8 8 9 10 10 10 10 10 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 9 9 10 11 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 9 10 10 10 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 9 10 11 12 13 12 12 11 11 12 14 16 18 19 17 14 12 11 10 10 10 10 10 10 8 8 9 11 14 16 19 22 23 23 22 20 20 21 23 23 23 21 17 14 13 12 12 12 12 12 11 11 11 11 11 12 11 11 10 7 nan
nan 11 11 11 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 10 10 10 10 9 9 9 9 11 11 11 10 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 9 9 10 10 9 9 10 11 11 11 11 10 10 10 9 9 9 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 9 10 10 9 8 6 5 4 4 5 8 9 10 11 11 11 10 10 10 11 12 14 15 14 12 9 7 6 7 8 8 10 11 11 11 12 14 16 17 18 19 20 20 19 17 16 16 16 17 16 15 13 11 10 10 10 10 10 10 9 10 10 11 12 12 11 11 10 10 8 nan
nan 11 11 10 10 10 9 9 9 9 9 9 9 9 9 8 8 9 9 9 10 10 10 10 10 10 9 8 8 9 11 11 10 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 9 9 9 10 10 9 9 9 9 9 8 9 9 9 9 9 8 9 10 11 12 12 11 10 9 9 9 9 10 10 10 10 11 12 12 11 10 8 8 7 6 6 7 8 9 9 10 10 11 11 11 10 10 10 10 10 9 9 9 9 10 9 9 9 9 9 6 2 -1 -3 -4 -2 2 5 8 9 10 10 10 10 10 10 10 11 13 13 11 7 2 -1 2 6 10 12 13 13 13 12 12 13 13 13 13 13 13 12 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 10 10 11 11 11 11 11 10 10 10 11 nan
nan 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 9 9 9 8 7 7 8 10 10 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 10 10 9 9 8 9 9 9 9 9 9 9 9 10 12 13 13 12 11 10 9 8 8 8 9 9 10 11 12 12 10 7 5 4 2 1 3 5 7 9 10 10 11 12 12 11 11 10 10 10 10 10 10 10 10 10 9 8 8 7 4 -1 -6 -8 -8 -5 -1 3 6 7 8 8 8 9 9 8 6 6 8 10 10 7 1 -6 -5 2 10 17 19 17 14 13 12 11 11 11 11 10 10 9 9 9 9 9 10 10 10 10 10 10 10 9 9 10 10 10 10 11 11 11 11 11 10 10 10 11 11 12 nan
nan 10 10 11 10 10 10 11 11 11 11 11 10 10 10 10 10 9 9 9 10 10 9 9 8 8 8 7 7 8 10 10 10 9 9 9 9 10 10 10 10 10 9 9 9 8 8 8 8 8 9 9 9 9 10 10 10 11 11 11 10 9 9 9 10 10 10 10 10 10 10 11 11 12 13 13 12 11 9 7 5 5 6 6 7 9 10 9 7 5 3 1 -0 -0 3 5 8 9 10 10 10 10 10 10 10 10 10 10 11 11 11 10 9 8 7 6 5 3 -2 -8 -9 -7 -3 2 5 7 8 9 8 8 8 7 6 2 0 1 5 8 7 4 -4 -8 -2 7 18 25 24 19 14 12 11 10 10 10 10 9 9 9 9 9 9 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 11 11 11 11 12 nan
nan 11 11 11 11 11 11 11 12 12 12 11 11 10 10 10 10 9 9 9 9 9 8 8 8 9 8 7 7 8 9 10 10 9 9 9 10 10 11 11 11 10 10 9 9 8 8 8 8 8 8 9 9 9 9 10 9 10 10 10 10 10 9 10 10 10 11 11 11 11 11 11 10 10 11 12 12 12 9 6 4 4 4 4 5 7 9 8 7 4 2 1 2 4 7 8 9 10 8 7 6 6 7 8 9 9 10 10 11 11 8 6 4 2 1 1 -1 -3 -6 -8 -5 0 5 9 10 10 10 10 10 10 9 8 5 2 1 3 7 8 7 3 -2 -1 7 16 26 29 25 19 14 11 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 nan
nan 10 11 11 11 11 11 12 12 12 12 11 10 10 10 10 9 9 8 8 9 8 8 8 8 9 8 7 7 8 9 9 9 10 10 10 11 11 11 11 11 10 10 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 10 9 9 10 11 12 10 8 6 5 5 5 6 8 9 8 6 4 2 3 5 8 10 10 10 10 9 6 5 4 6 7 8 9 10 12 12 9 5 1 -1 -2 -3 -3 -3 -4 -3 -1 3 7 9 10 10 10 10 11 11 11 11 10 9 8 8 9 11 10 9 6 6 11 18 25 30 28 23 18 13 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 nan
nan 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 9 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 9 10 10 11 11 12 12 11 11 10 10 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 10 9 9 8 9 10 10 10 9 8 8 8 10 10 9 8 7 5 4 6 8 10 10 10 11 10 10 9 8 8 8 8 9 10 12 13 12 9 4 2 0 -0 0 1 2 3 4 6 8 9 10 10 10 11 11 11 11 11 12 12 12 12 12 13 12 12 11 11 13 18 23 28 28 23 18 14 11 10 10 9 9 10 10 10 11 11 10 10 10 10 10 10 10 10 10 11 11 12 12 11 10 10 9 9 10 10 11 11 11 11 11 11 11 11 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 1 5 9 11 10 14 24 36 73 101 106 109 123 158 170 164 157 162 178 197 204 177 142 113 94 79 58 35 18 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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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