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 9 8 8 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 8 8 7 7 7 7 8 10 12 13 14 14 13 12 11 10 11 13 14 15 13 12 11 10 9 8 8 8 8 8 8 8 7 7 7 8 8 8 8 9 9 9 9 9 9 8 8 7 7 7 7 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 7 7 8 8 9 10 10 9 8 7 6 5 6 6 6 6 5 6 6 7 8 8 8 7 7 7 8 9 9 9 10 10 10 10 10 10 11 10 9 8 9 8 8 7 7 7 7 6 6 6 7 8 8 8 8 7 6 5 5 5 5 5 4 4 5 5 6 7 8 9 9 9 9 9 8 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 nan
nan 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 8 8 9 11 13 14 14 14 13 12 13 13 15 15 14 13 12 11 11 10 9 9 9 8 8 9 9 9 9 8 9 9 9 9 9 10 10 10 10 10 9 8 8 7 7 7 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 7 7 8 9 10 10 10 9 8 7 6 6 6 6 6 6 6 7 7 8 8 8 8 7 7 8 9 9 9 9 9 9 9 9 9 10 9 9 8 8 7 7 7 8 7 7 7 6 6 7 8 8 8 7 7 6 6 6 6 7 7 6 6 5 5 5 5 6 7 8 8 9 9 9 9 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 nan
nan 9 8 7 7 7 7 7 7 6 7 7 7 7 7 7 6 6 6 5 5 6 6 6 7 7 7 8 8 9 9 10 12 13 13 13 13 14 14 15 15 14 12 11 11 11 11 10 10 9 9 8 9 9 10 11 10 10 10 10 10 10 10 10 10 11 11 11 10 9 9 8 8 8 8 8 8 8 8 7 8 8 9 9 9 8 9 9 9 8 8 8 8 9 9 10 10 10 9 8 7 7 6 6 6 6 7 7 8 8 9 9 8 8 7 8 9 9 9 9 9 9 8 8 8 8 8 8 8 7 6 6 7 7 8 8 8 7 7 7 8 9 9 8 8 7 7 7 7 8 8 8 7 6 5 5 5 5 5 6 7 8 9 10 10 9 8 8 7 7 8 8 8 8 8 7 8 8 8 8 8 7 7 7 7 7 nan
nan 9 8 8 7 7 7 6 6 6 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 8 8 8 8 9 9 9 10 11 10 11 12 13 14 15 14 13 12 11 12 12 12 11 11 10 9 8 8 9 10 11 11 11 11 11 11 11 10 9 9 10 11 12 11 11 10 10 10 10 9 9 9 8 8 8 8 8 9 10 10 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 8 7 6 6 7 7 7 8 8 9 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 7 8 8 8 8 7 8 9 10 10 9 8 7 7 8 8 8 9 8 7 7 6 5 4 4 5 6 7 9 10 11 11 10 9 8 8 7 7 7 8 7 7 7 8 9 9 8 8 7 7 7 7 nan
nan 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 8 7 7 8 10 12 13 14 13 13 13 13 14 13 13 12 13 12 11 10 9 9 10 11 11 11 11 11 11 11 11 9 9 10 11 12 12 12 11 11 11 11 10 10 9 8 8 8 8 8 9 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 9 9 10 9 8 7 7 7 7 7 7 8 8 10 10 9 8 8 7 7 7 7 8 8 8 8 8 8 9 9 8 7 7 7 7 6 6 7 8 8 7 7 8 9 10 10 9 8 8 8 8 7 8 8 8 8 8 8 7 6 5 5 6 8 9 11 12 12 12 11 10 9 8 7 7 7 7 7 7 7 8 9 9 8 8 8 8 8 nan
nan 8 8 8 8 7 7 7 7 7 7 7 7 7 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 7 6 6 7 9 10 12 13 13 13 14 14 14 14 13 13 14 15 14 12 11 11 12 12 12 11 11 11 11 12 11 10 10 10 12 13 14 13 12 11 11 11 10 10 10 9 8 8 8 8 9 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 9 10 10 10 10 8 7 7 7 7 7 8 8 9 10 10 9 8 7 6 6 7 8 8 8 8 8 8 9 9 9 8 8 7 7 7 6 6 7 7 7 7 7 8 8 9 9 9 9 8 7 6 6 7 8 9 9 9 9 8 7 7 8 9 10 12 13 13 14 14 13 12 10 8 7 7 7 7 8 8 8 8 8 9 9 9 9 8 nan
nan 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 7 8 8 9 8 8 7 7 7 7 7 8 8 9 9 9 8 7 7 8 9 10 11 12 14 14 15 14 14 13 13 14 15 15 15 13 12 12 13 12 11 10 10 10 11 11 11 10 10 11 12 13 14 14 11 10 10 10 10 10 10 9 8 8 8 8 8 9 10 10 11 10 9 9 8 8 8 8 8 8 8 8 9 10 10 11 11 10 8 7 7 7 7 8 8 9 10 10 9 8 7 7 7 7 8 9 9 9 9 8 8 9 9 9 8 7 7 7 6 6 6 7 7 7 7 7 7 8 9 10 10 8 6 5 5 7 8 10 10 10 10 10 9 9 8 9 9 11 12 13 15 16 16 15 13 11 10 8 7 8 8 9 9 8 8 8 9 9 9 9 nan
nan 7 7 8 8 8 8 8 8 7 6 6 6 6 6 6 7 8 9 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 10 10 12 14 15 15 14 13 13 13 13 13 14 14 12 11 10 11 10 9 8 8 8 9 9 9 8 8 9 10 11 12 12 10 9 9 9 10 10 10 10 9 8 8 8 8 8 9 10 11 10 9 9 8 8 8 8 8 8 8 8 8 8 9 10 10 10 9 8 7 7 7 7 8 8 9 9 9 8 8 7 7 7 8 9 10 10 9 9 9 9 9 9 8 8 8 7 6 5 5 6 7 7 7 7 7 8 9 11 11 9 7 5 5 5 6 8 9 10 10 10 9 8 7 7 7 8 9 10 12 14 16 16 15 14 13 12 10 9 9 9 9 8 8 7 8 8 9 9 nan
nan 6 6 7 7 8 8 8 7 7 6 6 7 7 7 8 9 9 9 8 8 7 7 7 7 7 7 8 7 6 6 7 8 8 9 10 10 10 10 11 12 13 14 14 13 12 11 11 11 11 12 11 10 9 8 8 8 7 6 6 6 5 5 5 5 5 5 6 7 8 9 9 8 8 9 9 9 9 9 9 8 8 8 9 9 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 7 8 9 9 10 9 8 8 7 7 7 8 8 9 9 8 8 8 7 7 7 9 10 10 10 10 10 10 10 9 9 9 9 7 6 5 5 5 6 7 8 7 8 9 10 11 12 10 8 6 5 3 3 5 6 7 8 9 9 8 7 7 7 6 6 7 9 11 12 14 14 14 14 14 12 10 10 9 9 9 8 7 6 7 8 8 nan
nan 5 6 6 7 7 7 7 7 7 7 7 8 9 9 9 9 9 9 8 7 7 7 8 8 9 9 9 8 8 8 8 8 9 9 10 10 10 10 10 9 10 11 11 11 11 10 10 10 10 11 11 11 10 10 9 9 8 7 5 4 3 3 3 3 3 4 4 5 7 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 11 11 10 10 9 8 8 7 7 8 8 8 8 8 8 7 7 7 8 10 10 10 9 8 7 7 6 7 7 8 8 8 8 8 7 8 8 9 9 10 10 10 9 10 9 9 9 9 8 6 5 5 5 5 6 7 7 7 8 9 10 11 11 10 8 7 3 2 3 4 4 6 7 8 9 10 9 9 8 7 7 8 9 10 12 13 14 13 13 12 12 11 11 11 10 8 7 6 6 7 7 nan
nan 6 6 7 7 7 7 7 8 8 8 9 9 10 10 10 9 9 8 8 7 7 7 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 11 12 12 12 11 12 11 10 10 9 7 6 5 4 4 4 5 5 6 7 8 9 9 9 9 9 8 9 9 10 10 10 10 11 11 10 11 11 11 11 10 9 8 7 7 7 8 8 8 9 9 8 7 7 8 10 11 11 11 9 8 7 6 6 6 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 9 9 9 8 6 6 6 5 5 5 5 6 7 8 9 10 11 10 10 8 5 3 3 2 2 3 5 6 8 9 9 9 8 7 7 7 7 8 9 11 12 12 12 13 13 13 13 13 11 10 9 8 8 7 7 nan
nan 8 8 9 9 8 8 8 8 9 9 10 10 10 9 9 9 8 8 7 6 7 8 9 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 9 8 8 8 8 9 11 13 14 13 12 11 10 11 11 11 10 9 9 8 8 7 7 7 7 8 9 9 9 9 10 10 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 10 9 8 7 7 7 7 8 8 9 9 9 9 8 9 10 11 11 11 10 9 8 7 6 6 6 7 7 7 7 8 8 8 8 9 10 9 9 9 8 8 8 8 9 10 10 9 8 7 6 4 4 4 4 6 7 8 9 11 11 11 9 7 5 4 3 2 2 3 3 4 5 5 5 4 4 5 5 4 4 5 8 9 11 12 13 13 14 15 15 13 12 11 12 11 9 8 nan
nan 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 6 7 8 9 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 9 8 8 8 8 9 12 14 15 14 11 10 9 10 10 11 11 10 10 10 11 10 9 8 8 8 8 8 8 9 10 10 9 9 9 9 10 10 10 9 9 9 9 10 11 12 12 11 10 9 8 8 8 7 7 8 8 8 9 9 9 9 10 10 11 11 10 9 8 7 6 6 6 7 7 7 7 7 7 7 8 9 10 10 9 9 9 8 8 8 9 10 10 11 10 8 7 6 4 4 3 4 6 7 8 10 11 11 10 9 8 7 6 4 4 4 4 4 3 2 1 0 1 2 2 1 1 1 3 5 8 10 12 13 14 15 15 14 13 13 13 13 12 11 nan
nan 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 7 7 6 7 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 9 8 8 8 9 10 12 13 14 13 11 10 9 9 9 10 10 10 10 11 12 12 10 9 8 7 6 6 7 8 10 10 10 9 9 9 9 9 9 9 8 9 9 10 10 12 12 12 11 10 9 8 8 8 7 7 7 8 8 8 8 8 8 9 10 10 10 10 9 9 8 7 7 7 8 7 7 7 6 7 7 9 10 10 10 9 9 9 8 9 9 9 10 11 11 9 8 7 6 5 4 4 5 5 6 8 9 10 11 12 11 10 8 7 6 6 7 7 7 4 3 2 2 2 2 1 1 1 0 1 3 6 9 12 13 14 14 14 13 13 13 13 13 13 nan
nan 8 9 9 10 9 9 8 8 8 7 7 7 7 7 8 8 8 8 7 8 8 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 10 11 11 12 12 11 11 10 9 9 9 9 10 10 11 12 13 12 11 9 7 7 7 8 9 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 10 11 13 13 13 12 11 9 9 8 8 8 7 7 7 7 7 6 7 7 8 9 9 9 9 9 9 8 8 8 8 8 8 7 6 5 6 8 9 9 10 10 10 10 9 9 8 8 9 11 11 9 8 8 8 6 5 5 5 4 5 6 8 9 10 11 12 11 10 9 8 8 9 10 10 10 8 7 6 5 4 4 4 3 1 0 0 2 4 7 10 11 13 13 13 13 12 12 13 13 nan
nan 7 8 8 9 9 9 8 8 8 8 7 7 7 7 7 8 8 8 8 9 9 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 10 10 9 9 10 11 11 11 12 12 12 11 10 8 8 10 12 13 13 12 11 10 11 10 10 10 10 11 10 9 9 9 9 10 11 13 14 14 13 12 11 10 9 9 8 8 8 7 7 7 6 6 6 7 8 8 8 8 9 10 9 8 8 9 9 8 7 6 5 6 6 7 8 9 10 10 11 10 9 8 7 8 10 10 9 9 8 8 7 7 6 5 5 5 5 6 7 9 10 11 12 11 10 9 8 8 9 10 10 10 10 9 8 8 7 7 6 4 3 1 0 -0 1 4 7 10 12 12 12 12 11 12 12 nan
nan 6 6 7 7 8 8 9 9 8 8 7 7 7 7 7 7 8 9 9 10 10 10 9 8 8 7 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 11 10 10 11 12 12 12 11 10 10 11 12 13 12 12 11 11 11 10 10 10 11 13 12 11 10 9 10 10 11 13 14 14 14 13 12 11 11 10 10 9 9 8 8 8 7 6 6 6 7 7 7 7 8 9 9 9 9 9 9 9 8 7 6 6 6 6 7 8 8 9 10 9 9 7 6 6 7 9 9 10 9 8 7 7 7 6 6 5 5 5 6 7 8 10 11 11 10 9 8 8 8 8 8 9 9 10 10 10 9 8 7 7 6 4 2 1 0 1 3 5 8 10 10 10 10 11 11 nan
nan 6 6 6 6 7 8 8 8 8 8 7 7 7 7 7 7 8 9 9 9 9 9 9 8 8 8 8 8 8 8 9 8 8 8 7 8 8 8 8 7 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 11 11 11 11 11 11 11 11 11 11 10 11 11 10 9 10 11 12 13 12 12 12 12 12 12 13 14 14 14 14 13 12 11 11 10 10 10 9 9 8 8 7 7 6 6 7 7 7 7 7 8 8 9 9 10 10 9 8 7 7 7 8 8 8 7 7 7 8 8 8 7 6 6 7 9 10 10 9 8 8 7 7 7 6 6 5 5 6 7 8 9 10 11 10 9 8 8 8 8 8 9 10 10 11 10 9 8 8 8 7 5 4 2 2 1 2 3 6 7 9 9 10 10 nan
nan 7 6 6 6 7 8 8 8 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 8 8 9 9 9 10 10 10 10 10 9 9 10 10 10 10 9 9 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 11 11 12 14 14 14 14 13 13 13 14 14 14 14 14 13 12 11 11 10 10 9 9 9 8 8 6 6 7 7 7 7 7 7 8 9 10 10 11 10 9 8 7 7 8 8 8 8 7 7 8 9 10 9 7 7 7 9 10 11 10 9 8 8 8 8 7 7 6 5 5 5 6 7 8 9 9 9 9 9 8 8 8 9 9 10 11 11 10 9 9 8 7 6 5 4 3 2 1 1 3 4 6 7 8 9 nan
nan 8 7 7 8 8 8 8 7 7 8 8 9 9 9 9 9 8 8 8 9 9 10 10 10 10 10 9 9 9 9 9 9 9 8 8 7 7 7 7 6 6 7 7 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 9 10 11 12 13 14 14 14 14 13 13 13 14 14 14 14 13 13 12 11 10 10 10 10 9 9 8 7 7 7 7 8 8 7 7 8 9 10 11 11 11 10 8 7 6 6 7 8 9 9 10 10 11 11 10 8 7 6 8 9 9 9 9 8 8 8 8 8 8 7 7 6 5 5 6 6 7 8 9 9 9 9 9 9 8 9 10 11 12 12 11 10 9 7 6 4 3 2 3 3 2 2 3 4 5 7 8 nan
nan 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 8 7 7 8 9 10 10 10 10 10 10 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 9 9 9 10 10 10 10 10 9 9 9 8 8 8 9 9 8 7 8 9 10 11 11 11 11 12 13 13 13 13 13 13 14 14 14 14 13 12 11 11 11 10 10 10 9 9 8 8 8 8 8 8 7 7 8 9 10 11 11 11 11 10 8 7 7 6 7 9 11 11 12 12 11 11 9 6 5 6 7 7 7 8 8 7 7 7 8 9 8 8 7 7 6 6 6 6 7 8 9 9 9 9 9 9 9 10 11 12 12 12 11 9 9 7 5 4 3 4 5 5 4 4 4 4 6 7 nan
nan 8 8 8 8 8 8 8 9 9 10 10 11 11 11 10 8 7 7 8 9 9 9 10 10 10 9 9 9 9 9 9 9 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 7 7 7 7 7 8 7 7 8 10 11 11 11 10 10 11 12 13 14 13 13 13 13 13 13 13 13 13 12 11 11 11 10 10 10 9 9 8 8 8 8 7 7 7 8 9 10 10 11 11 11 11 11 11 10 10 9 9 9 10 10 10 11 11 9 7 5 5 5 6 6 6 7 7 6 7 8 9 9 8 8 8 7 6 6 6 6 6 7 8 8 8 8 8 9 9 10 11 11 11 10 9 10 10 9 8 6 6 7 7 7 6 5 5 5 6 nan
nan 7 7 8 8 8 9 10 10 11 11 12 12 12 11 10 8 7 7 7 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 7 6 6 6 7 7 7 7 7 9 10 10 10 9 9 10 10 11 12 13 14 14 13 13 12 13 13 13 13 13 12 12 11 10 10 10 10 10 9 9 9 9 8 8 8 9 9 10 10 11 12 12 12 12 12 12 12 11 9 8 8 8 9 10 11 10 9 7 6 7 6 6 7 7 7 7 7 7 9 9 9 8 8 8 8 7 7 6 6 6 7 7 8 8 8 9 9 10 10 10 10 9 9 10 11 11 10 10 9 9 10 10 9 8 8 6 6 nan
nan 6 7 7 8 8 9 10 10 11 12 12 12 11 10 8 7 6 6 6 7 7 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 8 8 8 9 9 8 8 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 9 9 9 9 8 8 7 7 7 7 8 7 7 8 8 9 10 10 9 9 8 9 9 10 10 11 12 13 14 14 13 12 12 13 13 13 13 12 12 11 10 10 10 11 11 10 10 10 9 9 8 8 8 8 9 10 11 12 12 12 11 11 10 10 10 8 8 8 8 9 10 11 11 10 10 10 10 9 9 9 10 9 7 6 7 8 9 9 8 8 8 8 8 8 7 7 7 7 7 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 8 7 nan
nan 7 7 7 8 8 8 9 9 10 11 11 11 10 9 7 6 5 6 6 6 7 7 8 8 8 8 9 9 9 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 9 10 10 10 10 9 8 8 8 9 9 9 9 9 10 11 11 11 10 9 8 8 8 9 9 10 10 10 11 12 13 13 13 12 12 12 12 13 13 12 12 11 10 10 11 11 11 10 10 10 10 9 9 8 8 8 9 9 10 11 11 11 10 9 9 8 8 8 8 7 8 9 10 11 11 11 12 12 11 11 11 11 10 7 6 6 7 8 8 8 8 8 9 9 8 8 8 8 8 8 8 9 9 9 10 10 10 10 11 11 11 10 10 9 9 9 9 10 10 10 10 10 10 10 10 nan
nan 6 6 7 8 8 8 8 7 8 8 9 9 9 8 7 6 6 6 6 7 7 7 7 7 8 8 8 9 9 9 9 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 8 8 7 7 7 7 7 7 8 9 10 10 10 9 9 8 9 10 10 10 10 10 11 11 11 11 11 10 9 8 8 8 9 9 10 9 9 10 10 11 12 12 12 12 13 13 13 13 13 13 12 12 12 12 11 11 10 9 9 10 10 10 9 9 9 9 8 8 9 10 11 10 10 9 10 9 9 7 6 7 8 9 11 11 12 12 12 11 11 11 11 10 7 6 6 6 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 10 10 9 8 8 9 9 9 9 9 9 9 10 11 nan
nan 6 6 6 7 8 8 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 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 8 8 7 8 8 9 9 8 8 7 8 9 9 10 11 11 11 11 11 11 10 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 10 11 11 11 13 14 15 14 14 13 12 12 11 12 12 11 10 9 9 9 10 11 11 11 10 10 9 8 8 9 9 9 8 9 9 9 8 7 6 6 7 8 9 10 11 10 10 10 9 9 10 10 8 7 6 5 6 7 8 8 8 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 10 11 11 10 10 9 8 8 8 9 9 8 8 8 8 9 10 nan
nan 6 6 6 6 6 6 6 6 6 6 7 7 7 7 8 8 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 8 7 7 7 7 7 7 7 7 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 9 10 10 10 10 9 9 10 10 10 9 8 8 8 8 9 9 8 8 9 9 9 9 9 9 8 8 9 9 9 11 13 15 15 14 13 12 11 11 11 12 12 11 11 10 10 11 11 11 11 11 11 10 9 8 8 8 8 7 7 8 8 8 7 7 6 6 7 7 8 9 8 8 8 8 9 10 10 9 8 7 6 5 6 7 8 8 8 8 8 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 10 9 8 8 8 8 8 9 9 8 8 8 8 8 nan
nan 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 6 7 7 7 8 8 8 8 8 8 8 8 9 8 7 7 7 8 8 7 7 7 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 9 9 10 10 10 10 10 11 10 9 8 7 9 9 9 8 7 7 8 8 8 8 8 8 9 8 8 9 9 9 8 8 8 7 7 8 10 13 15 15 13 12 11 11 12 12 12 11 11 11 11 11 11 11 10 10 10 10 9 9 8 8 8 8 8 8 8 9 8 8 8 8 8 7 8 9 9 8 8 9 10 10 10 9 9 8 7 6 6 7 7 8 8 7 7 7 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 nan
nan 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 8 9 9 10 11 12 11 9 9 9 9 8 8 8 10 10 9 7 7 6 7 7 8 8 8 8 8 8 8 8 8 8 9 9 8 7 7 8 8 10 13 14 14 13 12 12 12 12 12 11 11 11 11 10 10 9 9 8 8 8 9 9 8 8 8 8 8 8 9 10 10 10 9 9 9 9 9 10 10 9 9 10 11 11 10 9 10 9 8 6 5 5 6 7 8 8 7 7 7 7 7 8 8 8 8 9 9 9 8 8 8 7 7 7 8 8 8 8 7 6 6 6 6 7 7 7 7 nan
nan 6 6 6 6 6 5 5 6 6 7 7 7 7 7 7 7 7 8 8 7 7 7 8 8 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 9 10 11 12 10 8 7 8 8 9 9 10 10 10 9 8 7 6 6 6 8 8 8 8 7 7 8 8 8 8 9 9 8 8 8 8 7 8 10 12 12 13 13 13 12 12 12 12 12 11 11 11 10 10 9 8 7 7 7 8 7 7 7 7 7 8 10 12 12 11 9 8 8 9 10 11 10 9 8 8 9 10 10 10 10 11 10 8 6 5 5 5 7 7 7 7 6 7 7 7 8 8 8 8 9 9 9 9 9 8 7 8 8 9 9 8 7 7 6 5 5 5 6 6 6 nan
nan 7 6 6 6 6 5 6 6 6 7 7 7 7 7 7 7 7 8 8 8 7 7 8 8 9 8 8 7 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 9 11 11 9 8 7 8 9 10 9 9 9 8 8 7 8 8 8 8 8 8 8 8 7 7 7 7 8 8 9 8 8 8 8 8 8 7 8 9 10 11 12 13 13 13 13 12 12 12 12 12 11 11 10 10 9 8 8 8 8 8 8 8 8 8 10 12 13 11 9 7 6 8 10 11 10 9 7 7 8 10 11 12 12 12 11 10 8 6 5 4 5 6 7 7 7 7 8 8 8 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 8 7 6 5 5 5 5 5 nan
nan 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 7 8 8 8 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 10 9 9 8 8 8 8 8 8 9 10 10 9 8 8 9 9 9 9 8 7 6 6 7 8 10 11 11 10 9 9 9 9 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 9 11 12 12 13 13 13 13 12 12 12 12 12 12 12 12 12 11 11 11 11 12 11 10 9 10 12 13 12 10 7 7 8 10 11 11 9 8 8 10 11 13 14 14 13 12 11 10 8 6 5 5 6 7 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 7 6 5 5 4 4 nan
nan 7 7 6 6 6 6 6 6 7 7 8 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 6 6 7 7 8 8 8 8 8 8 8 8 9 9 8 8 9 9 9 9 9 10 10 9 9 8 8 8 8 8 8 9 9 9 9 8 8 8 8 7 6 5 5 5 6 7 9 10 11 11 11 10 10 10 10 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 11 12 13 13 14 13 12 12 12 12 12 12 13 13 13 13 13 14 15 14 12 11 11 12 13 13 12 11 11 11 12 12 11 10 9 9 11 12 13 14 14 14 13 12 11 10 9 8 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 8 7 6 5 5 nan
nan 7 7 6 6 6 5 6 6 7 7 8 8 7 7 6 6 7 7 7 7 8 8 7 7 8 8 8 8 8 7 6 6 7 7 8 8 8 9 9 9 9 10 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 6 5 5 5 7 8 9 10 10 10 10 10 10 9 9 9 9 9 9 9 8 7 7 8 9 10 10 10 10 10 10 10 10 9 9 10 10 11 13 13 13 12 12 12 12 12 12 12 13 13 13 13 14 15 15 14 13 12 12 13 14 15 15 15 15 14 14 13 13 12 11 11 11 12 13 15 15 15 14 13 13 12 10 9 8 8 9 9 9 9 8 8 8 8 8 8 9 9 9 10 10 10 10 11 11 10 10 10 10 10 10 10 9 8 7 6 nan
nan 7 7 6 6 5 5 5 6 6 7 7 7 7 7 6 6 6 6 7 7 7 7 7 8 8 8 9 9 8 8 7 7 7 7 7 7 8 9 9 10 10 10 10 10 10 9 10 10 11 11 11 10 10 10 10 10 11 11 11 10 10 10 9 9 8 8 8 8 7 7 6 6 7 10 11 11 11 11 11 11 10 9 9 9 9 10 9 9 8 8 7 8 9 9 9 9 10 10 10 10 10 10 10 9 9 9 10 11 12 12 12 12 11 11 11 11 12 12 12 12 11 12 13 14 14 13 12 12 14 15 16 16 16 15 15 15 14 15 14 13 12 12 11 12 14 16 17 16 16 15 14 12 10 9 9 10 10 10 10 9 9 8 7 7 8 8 9 9 10 10 10 10 10 10 11 11 10 10 10 11 11 11 10 10 9 nan
nan 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 8 8 9 9 9 9 8 8 8 8 7 7 8 8 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 12 12 11 10 10 10 9 9 9 9 9 8 8 9 11 11 11 11 11 11 11 11 10 9 8 8 8 8 8 8 8 7 7 8 8 8 9 10 9 9 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 11 11 12 13 14 14 15 15 15 15 15 14 14 14 14 14 14 13 12 12 14 15 16 16 16 15 14 12 11 10 10 11 11 11 10 10 9 9 8 8 7 7 8 9 9 10 10 10 10 10 10 10 10 11 11 11 12 12 11 11 10 nan
nan 8 8 7 7 7 6 6 6 6 6 6 6 7 7 8 8 8 7 6 6 6 7 7 7 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 12 12 13 13 13 13 13 12 11 11 11 11 10 10 10 10 10 10 10 11 11 11 10 9 9 9 9 9 9 8 7 7 7 7 8 9 9 8 7 7 8 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 10 9 10 11 12 13 13 13 14 14 14 14 14 13 12 12 12 13 12 12 12 12 12 13 13 14 13 12 11 10 9 10 11 11 11 11 10 10 10 9 9 8 8 8 9 9 10 10 10 10 10 9 9 10 10 11 11 11 11 11 11 11 nan
nan 8 8 8 8 8 7 7 6 6 6 6 6 7 7 8 9 9 8 8 7 7 8 8 8 8 8 9 9 9 10 10 11 11 11 10 10 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 10 9 9 10 11 12 12 12 12 13 13 12 12 12 12 11 11 11 11 11 12 12 12 11 10 10 9 8 7 7 7 8 8 8 7 7 7 8 9 10 9 8 7 7 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 9 8 9 9 9 9 9 9 9 10 10 10 9 8 8 10 11 11 11 11 11 12 12 13 13 12 11 10 10 10 10 10 11 11 11 10 10 10 11 11 10 9 8 8 9 10 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 11 10 10 nan
nan 8 8 8 8 8 8 7 7 6 6 5 6 6 7 7 8 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 12 12 12 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 8 8 9 10 10 10 10 11 12 12 12 12 12 13 12 12 12 12 12 12 12 12 11 10 9 9 8 7 6 7 7 8 8 7 7 8 9 9 9 9 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 9 9 8 7 7 9 10 10 10 10 10 10 11 11 11 10 10 9 9 9 9 10 11 11 10 9 9 9 10 10 10 9 8 7 7 9 10 11 11 10 10 10 10 11 11 11 10 9 9 9 9 8 8 9 9 9 9 9 9 10 10 10 10 10 10 nan
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nan 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 10 10 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 11 11 11 10 10 10 10 9 10 10 10 10 10 10 11 11 11 11 12 12 12 12 12 12 12 11 10 8 7 7 9 12 14 15 15 15 14 13 12 10 9 8 8 9 10 11 11 11 10 9 8 7 7 7 6 4 2 2 3 4 7 10 11 12 12 10 5 2 -1 -1 1 4 6 9 14 17 16 14 13 11 11 10 10 10 10 10 10 10 11 11 12 nan
nan 7 7 7 7 7 8 8 9 9 9 10 10 10 10 9 9 8 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 10 10 10 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 11 11 11 10 9 9 9 9 9 10 11 11 11 11 10 9 9 9 10 10 10 10 10 10 11 11 12 12 12 13 13 12 11 11 10 9 9 8 6 6 6 8 11 14 16 17 17 16 13 11 9 8 8 9 10 11 12 12 11 10 8 6 6 7 7 7 4 3 4 5 6 9 11 11 11 10 7 2 -2 -3 -1 1 3 5 9 14 17 16 14 13 11 11 11 11 11 11 11 11 11 11 12 12 nan
nan 7 7 7 7 8 8 9 9 9 9 9 9 9 9 8 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 10 10 9 9 8 8 8 7 7 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 9 8 8 9 9 10 11 11 11 10 9 9 9 10 10 10 11 11 11 11 12 12 12 12 13 13 13 12 11 9 8 7 6 5 5 4 5 6 9 13 16 18 19 17 13 11 10 9 9 10 12 12 12 11 10 8 7 7 9 9 9 8 7 8 9 9 9 10 10 9 8 5 1 -4 -6 -4 -0 3 4 5 9 13 15 16 14 12 11 11 11 11 12 12 12 12 12 12 12 12 nan
nan 8 8 7 7 8 8 8 8 8 9 9 9 9 8 7 7 7 6 7 7 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 10 9 9 8 8 8 7 7 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 12 11 11 10 10 9 9 9 9 10 10 10 10 10 9 9 9 10 10 10 10 11 12 12 12 12 13 13 12 12 13 13 12 11 8 6 4 3 3 3 3 4 5 7 12 16 20 21 17 14 12 11 10 10 11 12 12 12 10 9 7 8 10 11 10 9 9 10 11 12 11 10 10 8 6 3 -1 -5 -7 -6 -2 2 4 5 6 9 12 15 15 13 11 11 11 12 12 12 12 12 11 11 12 13 13 nan
nan 9 9 9 8 8 8 8 8 9 9 8 8 8 8 7 7 7 6 6 7 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 10 9 9 8 8 8 7 7 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 10 10 11 11 10 10 10 10 10 10 11 11 10 11 11 12 12 12 13 13 12 12 12 12 13 13 10 6 4 2 0 0 1 2 2 3 5 10 16 22 22 17 14 12 12 11 10 11 11 11 11 10 8 8 9 10 10 9 8 9 10 12 12 12 11 10 8 5 2 -1 -2 -2 0 2 4 5 5 6 9 11 12 13 12 12 12 12 13 13 12 12 12 11 12 12 13 12 nan
nan 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 6 6 6 7 8 8 9 9 9 9 9 9 8 8 8 9 9 9 9 8 8 9 9 9 9 8 8 8 8 7 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 10 10 11 11 10 10 10 10 10 10 10 11 10 10 11 11 12 12 12 12 12 12 12 12 13 13 12 9 5 2 -1 -2 -2 -1 0 1 2 4 8 15 20 20 17 15 13 12 11 10 10 11 11 11 10 9 9 9 9 8 8 8 9 11 12 13 13 13 12 9 6 4 4 4 4 5 5 5 5 5 6 7 8 10 11 13 14 14 15 14 14 13 13 12 11 11 11 11 11 nan
nan 9 9 9 9 10 10 10 10 9 9 9 8 7 7 6 6 6 6 6 7 8 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 11 11 11 11 12 12 12 11 10 10 10 9 9 9 9 9 9 10 10 10 10 9 9 9 10 10 10 10 10 10 9 10 11 11 12 12 12 12 12 12 12 12 12 12 11 8 5 1 -3 -4 -3 -2 -1 0 2 3 7 12 16 18 17 15 13 12 11 10 10 11 12 12 10 9 9 8 8 8 8 8 10 12 13 15 15 13 10 6 2 3 4 5 5 5 5 4 5 5 6 7 8 10 13 16 17 17 16 15 15 14 13 12 11 9 8 7 8 nan
nan 8 8 9 9 10 10 10 10 10 9 9 8 7 7 7 7 6 6 7 8 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 8 8 8 8 9 10 9 9 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 10 10 10 10 10 9 8 8 8 9 10 10 10 10 9 9 10 11 12 12 13 12 12 11 11 11 11 10 10 9 7 4 1 -3 -5 -4 -3 -1 1 3 4 6 9 13 17 18 17 15 12 11 11 11 11 11 10 9 8 8 8 8 8 8 10 11 13 13 14 13 10 6 1 -2 -0 2 4 5 5 4 5 5 6 8 9 10 12 16 19 20 19 18 17 16 14 12 9 7 4 3 3 7 nan
nan 8 8 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 8 9 10 10 9 9 8 8 9 9 9 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 11 10 10 10 10 10 9 9 9 9 10 10 10 10 10 11 10 10 9 8 8 9 10 10 11 11 10 10 10 10 11 12 12 12 12 11 10 10 10 10 9 9 9 8 6 4 1 -3 -5 -4 -3 -0 2 4 5 6 7 11 17 20 20 18 14 13 12 11 10 8 7 7 8 8 8 8 9 9 10 11 11 11 11 10 7 2 -4 -6 -4 -1 3 4 4 4 5 7 9 10 11 13 14 17 19 21 22 20 18 15 12 8 5 1 -1 -0 5 10 nan
nan 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 8 9 10 11 10 9 8 8 9 9 9 9 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 11 12 12 11 10 9 9 9 9 10 10 10 10 10 10 11 11 11 10 10 9 9 9 9 10 11 11 11 11 11 11 11 11 12 12 11 11 11 10 9 9 10 10 9 8 7 5 3 2 -0 -3 -4 -3 -0 2 4 5 5 6 6 11 18 22 23 19 14 12 12 10 7 6 6 7 7 8 8 9 9 9 10 10 10 10 9 8 5 -0 -5 -7 -6 -2 2 4 4 5 7 9 11 13 14 14 15 17 21 25 26 23 18 12 7 4 2 1 2 8 15 18 nan
nan 9 9 9 9 9 9 9 9 8 8 8 7 7 6 6 7 8 8 9 9 9 9 9 9 9 8 9 9 9 9 9 9 8 7 7 7 9 10 11 11 10 9 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 9 9 10 11 11 11 10 9 9 9 10 11 11 11 12 11 11 10 10 10 9 9 9 9 9 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 10 10 10 9 8 7 6 3 1 1 -0 -1 -1 1 3 4 4 4 5 5 6 11 18 21 21 16 11 9 8 6 5 6 7 7 7 8 8 9 10 9 10 10 10 9 8 6 2 -2 -7 -8 -5 -1 3 4 6 7 9 11 13 14 15 15 16 20 25 29 29 21 12 6 2 2 4 7 12 20 24 24 nan
nan 8 9 9 10 11 10 10 9 9 8 7 7 6 6 6 7 8 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 8 7 7 8 10 11 12 11 10 9 9 9 9 9 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 8 10 11 11 11 10 10 9 10 10 11 11 12 12 11 10 10 10 9 9 9 9 10 10 11 12 12 11 11 12 11 11 11 11 10 9 9 9 10 10 10 11 10 9 8 8 7 5 3 2 0 0 3 5 6 4 2 3 4 5 7 11 14 16 16 11 7 5 3 3 6 9 10 9 8 9 10 10 10 10 11 10 9 7 5 4 2 -2 -7 -7 -4 1 4 6 7 9 11 12 14 14 15 16 19 24 29 31 24 12 3 -1 1 6 11 15 20 24 26 25 nan
nan 7 8 9 10 11 11 10 9 8 7 7 6 6 6 7 8 8 9 9 9 9 8 8 8 8 9 9 9 9 9 9 8 7 7 7 10 11 12 12 10 9 9 9 9 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 10 10 11 11 11 11 11 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 11 11 12 11 11 11 11 10 10 10 9 9 9 9 10 10 10 10 10 9 9 8 9 9 8 6 3 0 1 6 9 8 4 0 0 3 6 8 10 11 11 11 9 6 3 2 5 11 14 13 11 11 12 12 12 11 11 11 10 8 6 6 6 5 -1 -6 -6 -2 2 5 8 9 11 12 13 14 15 16 19 24 30 33 27 13 3 -3 -1 6 12 17 20 24 27 28 28 nan
nan 7 8 9 9 10 10 10 9 8 7 6 6 6 7 7 8 8 9 9 9 9 8 8 9 9 9 9 8 8 8 8 8 7 8 9 11 12 12 11 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 9 10 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 10 10 11 11 11 11 11 11 11 11 10 10 11 10 10 9 8 8 9 9 10 10 10 10 10 9 9 9 9 10 9 7 4 -0 3 9 11 8 1 -3 -2 3 6 9 10 10 10 11 10 7 5 6 12 17 17 15 14 14 15 15 14 13 12 11 9 6 6 6 7 4 -3 -7 -6 -2 4 8 10 12 13 14 15 16 16 18 23 27 30 27 14 1 -4 -2 5 12 17 20 24 28 32 35 35 nan
nan 8 8 9 9 9 9 9 9 8 7 6 6 7 7 8 8 8 9 9 9 9 8 8 9 9 9 8 8 7 7 7 7 7 9 11 12 12 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 10 9 9 9 10 11 11 11 10 10 9 9 10 10 10 11 11 11 10 10 10 11 11 12 11 11 11 11 11 11 11 11 11 11 10 9 9 9 10 11 11 10 10 10 10 9 9 9 10 10 10 9 6 4 6 9 8 4 -3 -5 -1 4 8 10 11 11 12 12 11 9 8 10 15 17 16 15 15 15 15 14 12 11 11 9 7 4 3 2 0 -5 -10 -11 -7 0 8 12 13 14 15 16 17 18 19 21 23 24 22 13 -0 -6 -4 3 12 17 20 23 27 33 39 41 40 nan
nan 9 9 9 9 9 9 9 8 7 6 6 7 7 8 8 9 9 10 10 9 9 9 9 9 8 8 7 7 6 6 7 7 8 10 12 13 12 11 10 10 10 9 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 11 11 10 10 10 10 11 11 11 11 10 10 10 11 11 12 11 11 10 10 10 9 9 9 10 10 10 10 8 8 8 7 4 -0 -3 -1 3 8 10 11 12 12 12 11 10 10 10 13 14 14 14 16 17 15 13 12 10 10 9 7 4 0 -3 -6 -8 -11 -11 -7 -1 7 13 15 15 16 17 18 20 22 23 23 21 18 12 3 -2 -2 4 11 17 20 23 27 33 40 44 44 39 nan
nan 9 10 10 10 10 9 9 8 7 7 7 7 7 8 9 10 10 10 10 9 9 9 9 9 8 8 7 6 6 6 6 8 9 11 12 12 11 11 10 9 9 9 9 9 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 11 11 11 11 11 10 10 9 9 9 10 10 10 10 10 10 11 11 11 12 12 11 10 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 10 10 9 9 9 9 9 10 9 9 9 9 9 6 2 0 3 6 10 12 13 13 13 12 11 11 10 11 12 12 12 13 15 19 20 17 14 12 9 7 5 1 -3 -6 -9 -9 -8 -5 -1 5 10 15 16 16 17 18 20 22 26 28 27 24 19 14 8 4 4 7 12 17 19 22 26 32 39 43 43 39 33 nan
nan 10 10 10 10 9 9 9 8 7 7 7 7 8 9 10 10 10 10 9 9 9 9 9 10 9 9 8 7 6 6 7 8 10 11 11 12 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 11 11 10 10 9 9 10 10 10 10 10 10 11 11 12 12 12 12 11 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 9 6 4 5 10 13 15 16 16 15 14 12 10 10 11 12 13 13 12 12 16 20 21 18 15 10 5 0 -3 -6 -8 -8 -6 -2 3 8 12 14 16 17 17 18 20 22 25 29 32 32 28 22 16 12 9 7 9 12 16 18 21 25 30 35 37 36 33 28 23 nan
nan 10 9 9 9 9 9 8 8 8 8 8 8 9 10 10 10 9 9 9 9 9 10 10 10 10 9 9 8 7 7 7 8 10 10 11 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 11 11 11 12 12 13 12 12 12 11 11 10 10 10 10 10 10 10 10 11 11 11 12 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 9 9 10 10 9 10 10 10 9 8 9 12 16 18 19 19 19 16 13 9 9 11 12 13 14 13 12 12 15 17 17 16 13 6 -1 -4 -6 -4 -2 1 6 11 16 18 19 19 19 20 23 25 27 28 30 32 31 28 21 15 10 6 4 5 10 15 18 20 23 27 31 32 29 25 20 17 16 nan
nan 9 9 8 8 8 8 8 8 8 8 8 9 10 10 9 9 9 9 10 10 10 10 10 10 10 10 9 8 7 7 7 8 9 10 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 10 10 10 10 10 11 12 13 12 12 12 11 11 11 10 10 10 10 10 10 11 11 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 12 15 17 17 17 18 17 13 9 7 10 14 16 16 15 13 13 13 15 17 18 18 14 7 3 3 5 8 12 15 19 23 26 25 23 21 23 26 28 29 27 26 25 22 18 13 9 6 4 1 2 7 14 20 23 24 26 28 28 25 21 16 14 14 13 nan
nan 8 8 8 8 7 7 7 7 7 8 9 9 9 9 8 8 9 9 10 11 11 11 10 10 9 9 9 8 8 8 8 9 10 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 11 12 12 12 11 11 11 11 10 10 9 9 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 13 13 12 13 13 12 9 7 9 15 19 20 18 15 14 15 18 20 23 25 24 19 15 14 15 18 20 23 25 27 29 27 23 19 17 19 21 21 18 15 14 11 8 5 4 6 8 8 8 12 18 23 26 27 28 28 27 23 19 15 13 13 13 13 nan
nan 9 8 8 8 7 7 7 7 7 8 9 9 9 8 8 8 9 10 10 11 11 10 10 9 9 9 9 8 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 11 11 11 11 11 11 10 9 9 9 10 10 11 11 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 9 8 9 13 17 19 19 17 15 16 18 21 24 25 25 23 20 18 19 20 21 23 24 24 24 21 16 11 7 8 12 14 13 9 8 8 7 6 8 13 17 20 19 18 21 24 26 27 27 27 25 22 18 15 12 12 12 13 13 nan
nan 10 9 9 8 8 7 7 7 8 8 9 9 9 8 8 8 9 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 9 9 9 9 9 9 9 10 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 9 9 9 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 11 11 11 11 10 10 9 9 8 8 8 8 10 13 14 15 14 13 13 15 17 18 19 19 17 15 14 15 15 16 17 18 18 17 15 12 9 7 7 11 16 18 17 15 15 16 16 18 22 25 27 25 21 19 19 20 21 21 21 21 19 16 14 12 12 12 12 13 12 nan
nan 10 10 10 9 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 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 10 10 11 11 11 11 10 11 11 11 11 10 9 9 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 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 9 8 7 7 6 6 7 9 10 10 10 10 10 11 11 12 12 12 12 12 11 11 10 10 10 11 12 13 14 13 11 12 13 15 17 20 22 23 23 22 21 21 21 23 24 24 22 18 15 14 14 15 15 16 16 15 15 14 13 13 12 12 12 12 10 nan
nan 11 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 12 12 11 10 10 10 10 10 9 9 10 11 11 11 10 10 9 9 9 9 9 9 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 9 9 9 8 9 9 9 9 10 10 10 10 10 8 5 3 1 -0 1 4 6 8 9 9 9 9 10 10 10 10 10 9 9 9 8 7 6 7 8 10 12 14 14 13 13 14 16 17 18 19 20 20 19 18 17 16 17 17 17 15 13 12 12 12 12 13 13 13 14 14 14 14 14 13 13 13 13 12 11 nan
nan 11 10 10 10 9 9 9 8 9 8 8 8 8 8 8 9 9 9 10 10 10 10 9 9 9 9 9 9 9 8 8 9 9 10 10 10 10 10 10 10 9 8 8 8 9 10 10 11 10 10 10 10 11 11 11 11 11 11 12 11 11 10 10 10 9 9 9 8 9 10 11 11 11 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 8 8 7 6 5 5 6 6 8 8 9 9 10 10 10 10 10 9 8 8 8 8 8 9 9 10 10 10 10 9 6 1 -4 -8 -10 -8 -4 1 4 6 7 8 8 9 9 9 8 8 8 9 8 6 2 -0 1 5 9 13 15 15 15 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 11 11 11 11 11 11 12 12 12 12 13 14 15 15 15 14 14 13 13 12 12 nan
nan 10 10 10 10 9 9 9 9 9 8 8 8 8 8 9 9 9 10 10 11 11 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 8 8 8 9 10 11 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 10 11 11 11 11 10 10 10 10 9 8 8 8 8 8 9 9 8 7 5 3 1 -2 -3 -2 0 3 5 7 8 9 9 9 9 9 9 8 8 8 8 9 9 9 10 10 10 10 8 4 -3 -10 -13 -14 -12 -7 -2 1 3 4 5 5 6 6 5 3 2 3 5 7 5 1 -6 -7 -0 8 17 20 19 16 14 13 12 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 14 15 16 15 15 14 14 13 12 12 nan
nan 10 10 10 10 9 9 9 9 9 8 8 8 8 9 9 9 9 10 11 11 11 10 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 10 10 10 9 8 8 9 9 10 10 10 10 11 11 12 12 12 12 12 12 11 10 9 10 10 10 11 11 11 10 9 10 10 11 11 11 10 10 10 10 9 7 5 4 4 3 3 4 5 5 5 3 -1 -5 -8 -9 -6 -3 -0 3 4 5 5 6 6 7 8 8 8 8 9 9 9 9 10 9 9 7 5 1 -6 -13 -16 -14 -10 -4 1 4 5 5 5 5 5 4 2 -2 -5 -5 -1 3 4 2 -5 -11 -5 5 18 27 26 20 16 13 12 12 11 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 12 13 14 15 16 16 15 15 14 13 12 nan
nan 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 11 10 10 9 9 9 9 9 9 10 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 10 11 12 12 12 12 11 11 11 11 10 9 9 9 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 8 6 4 1 -1 -2 -1 1 2 2 0 -3 -6 -7 -5 -2 0 2 3 2 0 -1 -0 1 3 5 7 8 9 10 10 9 7 6 4 1 -1 -5 -9 -13 -15 -12 -6 1 6 7 7 7 8 8 8 7 5 1 -3 -5 -3 1 4 4 1 -5 -4 6 18 30 34 28 21 15 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 13 14 15 16 16 16 15 13 12 nan
nan 10 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 10 11 11 11 10 10 9 9 8 8 9 9 10 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 8 8 9 9 10 11 12 12 12 11 10 10 10 10 9 9 9 9 10 10 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 10 8 6 4 2 2 2 1 -1 -4 -6 -6 -3 2 5 6 6 6 4 1 -2 -2 -1 2 4 5 8 10 10 9 6 3 -0 -4 -7 -9 -10 -11 -10 -7 -2 3 7 8 9 9 9 10 10 9 9 7 5 4 4 6 8 8 8 5 4 10 21 31 37 33 26 19 14 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 11 11 11 11 11 11 11 12 13 15 16 17 17 16 14 13 nan
nan 9 9 8 8 9 9 9 9 9 9 9 8 8 9 9 10 10 11 11 10 9 9 9 8 8 8 9 10 10 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 8 8 9 9 10 11 12 12 11 10 10 10 9 9 9 9 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 13 13 11 8 5 1 -2 -3 -1 3 7 9 9 10 9 8 6 5 5 5 5 6 7 9 10 10 8 5 2 -0 -2 -3 -3 -3 -2 0 3 6 8 8 9 9 10 10 10 10 10 9 9 9 9 10 11 11 11 11 10 12 19 27 35 34 27 21 15 12 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 11 11 11 11 11 11 11 12 14 15 17 17 16 15 14 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
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