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 9 8 8 8 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 9 9 10 10 10 10 10 10 9 9 9 10 10 10 8 6 5 6 7 8 7 6 7 6 6 6 7 7 7 6 6 6 6 5 4 6 7 8 8 7 7 6 8 10 10 10 10 11 12 14 14 14 15 15 13 11 8 7 10 12 11 9 6 6 9 10 9 6 5 4 4 4 6 9 9 9 8 6 5 5 6 7 7 7 7 8 8 8 8 9 9 9 8 8 7 7 7 8 8 8 8 8 8 7 7 7 7 8 9 8 7 7 7 7 8 9 11 11 11 11 10 9 9 10 12 13 14 14 13 13 11 10 10 11 11 10 9 8 6 5 4 5 6 6 7 7 7 7 7 7 8 7 7 7 7 7 8 9 9 nan
nan 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 9 9 10 10 10 10 10 10 9 9 10 10 10 9 8 7 6 5 6 7 8 8 7 6 5 6 7 8 8 7 7 7 7 6 6 6 7 8 8 8 7 6 7 8 8 9 9 10 11 12 12 12 13 14 13 11 10 10 11 11 10 8 7 8 10 10 8 6 5 5 5 6 8 10 10 9 8 7 6 7 8 8 8 7 7 7 8 8 9 9 8 8 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 8 8 8 7 7 7 8 8 9 11 11 10 10 9 9 9 10 11 12 13 13 13 13 11 10 10 10 10 10 9 7 5 4 4 5 6 6 7 7 7 7 7 8 8 8 7 6 7 7 8 9 8 nan
nan 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 9 7 6 6 6 6 6 8 9 9 7 6 7 8 9 8 8 8 9 9 8 7 7 7 8 8 8 8 8 7 7 7 7 8 8 10 10 11 11 12 12 11 11 11 11 10 10 9 9 8 9 10 9 7 6 6 6 6 8 10 11 10 9 8 7 8 9 9 9 8 7 7 8 8 8 8 8 8 7 7 6 6 6 6 7 7 7 8 8 9 8 8 7 7 7 8 7 7 7 7 7 7 9 10 10 10 9 9 9 9 10 10 11 11 11 12 12 11 11 10 10 10 10 9 7 6 5 5 5 6 7 7 8 8 8 8 8 8 7 7 7 7 8 8 8 8 nan
nan 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 9 9 10 10 10 11 10 9 9 11 12 12 11 11 10 8 5 4 6 8 8 6 6 9 9 8 8 8 10 9 9 9 10 11 11 10 9 7 7 7 8 9 9 10 9 8 8 7 7 8 9 11 11 12 11 11 11 12 12 10 8 8 8 8 8 9 9 8 7 6 5 6 7 10 11 11 10 8 7 7 9 9 9 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 6 6 7 7 8 9 9 9 9 8 8 8 8 7 7 7 7 7 7 8 9 10 10 9 9 9 10 10 10 10 10 10 11 12 12 13 12 11 10 9 8 7 6 5 6 6 7 7 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 nan
nan 11 10 10 10 10 10 10 9 9 9 9 9 8 8 8 9 9 9 9 8 8 8 9 9 10 10 11 11 11 11 9 7 8 11 13 13 12 11 10 8 4 3 7 10 9 6 5 8 10 9 9 9 11 11 11 12 13 13 12 12 11 10 9 8 8 9 10 10 10 9 8 7 7 8 10 11 12 11 10 11 12 12 11 9 8 7 8 8 9 10 9 8 7 5 4 5 8 10 11 10 8 8 8 8 9 9 8 8 8 9 8 8 8 7 6 5 5 5 5 6 6 6 6 6 7 7 8 8 9 9 9 9 9 9 8 8 7 7 7 7 7 7 8 9 9 9 10 10 11 11 10 10 9 9 10 11 12 14 13 11 9 7 6 5 5 6 6 7 8 8 8 8 8 8 8 7 6 6 7 8 8 8 8 8 8 nan
nan 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 10 10 10 9 9 9 9 10 10 11 11 11 11 10 9 7 7 11 13 13 12 11 10 9 5 4 7 8 8 6 5 8 11 10 9 10 12 14 14 13 13 13 13 12 12 12 11 10 10 10 10 10 10 10 8 7 8 9 10 11 10 9 9 11 13 12 9 9 9 9 9 10 10 10 9 8 6 4 5 6 10 11 11 9 8 8 8 8 8 8 8 9 10 9 8 7 7 7 6 5 5 5 6 6 6 6 6 6 6 7 7 8 8 9 9 9 9 9 9 8 8 7 7 7 7 7 7 8 9 9 10 11 12 11 10 9 9 9 9 10 11 12 12 9 6 4 3 3 4 6 8 9 9 8 8 7 7 7 7 7 7 7 8 8 8 8 8 9 9 nan
nan 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 11 11 11 10 10 10 10 8 8 10 12 12 12 11 10 9 8 7 6 6 6 6 7 10 12 11 10 11 13 15 15 12 11 11 11 10 11 12 12 11 11 10 9 8 8 8 8 7 8 9 10 10 8 8 9 10 11 9 8 10 11 11 10 10 10 9 8 7 5 5 6 9 12 12 10 9 8 8 7 7 7 8 9 10 10 9 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 8 8 8 9 10 10 9 8 8 8 8 7 7 7 7 7 8 9 10 10 11 11 10 10 9 9 9 9 10 10 9 6 3 1 1 3 6 8 10 10 10 9 8 7 7 7 7 8 8 8 7 7 7 8 9 9 9 nan
nan 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 11 10 10 10 10 11 11 11 10 9 9 9 10 10 10 10 11 12 12 12 11 11 10 9 6 5 6 8 10 11 10 10 9 9 10 11 10 8 7 7 7 6 7 8 8 8 8 7 6 5 5 6 7 7 8 9 9 9 8 8 9 9 8 7 8 11 12 12 10 10 9 8 7 6 6 6 8 11 12 11 9 8 8 8 7 7 9 10 11 11 10 9 8 7 6 6 7 8 8 7 6 6 6 6 6 6 6 6 7 7 7 8 8 9 10 11 9 8 7 7 8 8 8 7 7 7 8 9 9 9 10 10 10 10 10 10 10 10 9 8 6 4 2 2 3 6 9 11 11 11 10 9 9 9 8 8 8 8 8 7 6 6 7 8 9 8 8 nan
nan 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 9 8 9 10 11 11 10 11 12 12 12 11 11 11 10 8 7 8 11 11 9 8 7 7 6 7 7 5 4 3 3 3 2 2 2 3 4 4 4 4 4 5 6 7 7 7 8 8 9 9 9 9 8 6 7 9 11 12 12 10 9 8 7 6 6 6 7 9 11 11 10 9 8 8 8 8 9 10 10 10 9 8 7 6 6 6 7 8 8 8 7 7 7 7 7 7 6 6 6 6 7 7 7 7 8 10 10 10 8 7 8 9 9 9 8 7 6 7 8 8 8 9 9 9 9 10 11 10 10 9 7 6 4 4 5 7 10 11 12 11 10 9 9 9 9 9 9 8 8 7 7 6 7 8 8 8 7 7 nan
nan 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 10 10 10 10 10 11 11 11 12 11 11 10 9 9 9 10 11 11 11 11 11 11 11 11 11 11 10 9 9 11 11 10 8 7 6 5 5 6 7 6 4 3 2 0 -0 -1 0 2 3 3 3 4 5 6 6 7 7 7 7 8 9 9 9 8 7 7 8 10 12 12 11 10 9 8 7 6 6 7 8 10 11 10 9 8 8 8 8 9 9 9 9 8 8 7 6 5 5 6 7 8 8 8 8 8 8 8 8 7 7 7 6 6 7 7 6 6 7 8 9 9 9 8 8 9 9 9 8 7 6 7 7 8 8 8 8 8 9 9 9 9 9 7 6 5 5 5 7 10 11 11 10 8 8 8 9 10 10 9 9 8 8 8 8 8 8 8 7 5 5 6 nan
nan 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 10 10 10 10 11 11 12 12 12 11 11 11 10 10 10 11 11 11 11 10 10 10 10 11 11 10 9 9 11 11 9 7 6 5 6 7 8 10 9 6 4 2 1 0 0 2 3 4 4 4 5 6 7 7 8 9 9 9 8 8 8 7 7 7 7 8 10 11 12 11 10 9 8 7 7 7 8 9 11 11 10 8 8 8 8 9 9 9 8 8 8 8 7 6 5 5 6 7 8 8 9 9 9 9 8 8 7 7 7 7 7 7 7 6 6 6 7 8 8 8 8 9 9 9 9 8 7 7 7 8 8 7 7 7 7 8 8 8 7 7 6 6 5 5 7 9 11 11 9 8 7 7 9 10 10 10 10 10 10 9 9 9 9 9 8 6 5 5 5 nan
nan 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 10 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 10 10 11 11 10 9 7 8 10 11 10 7 4 4 6 8 9 10 9 7 5 3 2 2 4 5 6 5 5 5 6 7 8 9 12 13 12 9 7 6 6 6 7 7 7 8 10 10 11 10 10 9 9 8 8 8 9 10 11 10 9 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 7 8 8 9 9 9 10 9 8 7 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 8 8 8 8 7 7 8 8 8 8 7 7 7 7 7 7 6 5 5 5 5 6 7 9 9 9 8 7 7 8 9 10 10 11 11 11 11 10 9 9 9 9 8 7 7 6 6 nan
nan 12 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 13 13 12 12 12 13 12 12 11 11 10 10 10 10 11 11 10 10 9 9 8 8 10 11 11 7 2 2 5 7 8 8 9 8 6 4 3 5 8 10 9 7 6 6 7 9 11 14 16 14 10 6 4 5 6 7 7 8 8 9 9 9 9 9 10 9 9 8 8 9 9 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 9 9 9 10 10 10 9 7 6 6 7 7 7 7 7 7 8 8 7 7 6 7 7 8 8 8 8 8 8 7 8 9 9 9 8 8 7 7 7 7 7 6 5 5 5 5 5 5 6 7 7 7 7 8 8 9 9 10 10 11 11 11 10 10 10 10 9 9 9 9 9 8 nan
nan 13 12 12 11 11 11 11 12 12 12 12 12 11 11 11 11 12 11 11 11 12 12 13 13 13 12 12 13 13 12 12 11 10 9 9 10 11 11 10 8 8 9 10 10 11 12 11 6 0 0 3 6 7 9 11 10 8 6 5 7 10 11 9 7 6 7 10 13 16 16 15 10 6 4 5 7 7 8 9 9 10 9 8 8 8 8 9 10 9 9 9 9 9 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 9 8 6 6 7 7 7 7 7 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 7 7 6 6 5 5 4 3 3 4 5 6 7 7 8 8 8 8 9 9 9 10 10 11 11 10 10 9 9 10 10 10 nan
nan 13 13 12 12 12 11 11 11 11 12 12 12 11 11 11 11 11 11 11 12 12 12 13 13 13 13 12 12 13 12 12 11 10 9 8 9 10 10 9 8 8 10 11 12 12 12 10 5 -0 -0 3 6 8 10 12 12 10 6 5 5 7 8 7 5 6 9 13 15 15 12 9 5 4 5 8 9 9 9 11 11 10 9 8 8 8 8 9 10 10 10 9 9 10 11 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 9 9 9 8 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 8 8 8 8 9 9 9 9 9 9 9 8 7 6 4 3 4 5 6 6 7 7 7 6 6 7 8 8 9 10 11 11 10 9 9 9 10 10 11 nan
nan 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 13 13 12 12 12 12 12 11 10 9 8 8 8 9 8 8 9 11 12 12 12 11 9 5 1 1 3 6 9 11 13 12 8 4 4 4 6 6 6 7 9 12 14 12 9 6 4 4 5 7 9 9 10 11 11 10 8 8 9 9 9 10 10 10 10 10 9 10 11 11 9 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 7 6 6 8 9 10 10 9 8 8 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 11 11 11 10 10 9 8 7 7 6 6 7 6 5 5 5 6 6 7 9 9 10 9 9 8 8 8 9 10 10 nan
nan 11 11 12 13 13 13 12 12 12 12 11 11 11 11 11 11 12 12 12 12 13 14 14 14 13 13 12 11 11 11 12 12 11 10 8 8 8 8 8 8 9 10 11 11 10 9 8 5 4 4 6 7 10 13 14 10 4 2 3 6 6 6 7 10 12 13 11 9 7 6 6 6 7 8 8 9 10 10 9 8 7 8 10 10 10 10 10 9 9 9 10 11 11 11 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 7 8 9 10 10 9 8 8 8 8 8 8 8 7 7 7 6 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 11 11 11 11 12 12 10 9 8 7 6 5 4 4 5 5 6 7 8 8 8 8 7 7 8 9 9 10 10 nan
nan 10 11 11 12 12 13 13 13 13 12 12 12 12 12 12 12 12 12 13 13 14 15 15 15 14 13 13 12 11 11 12 12 12 11 9 8 8 8 8 8 9 9 10 10 9 8 7 6 7 8 9 10 11 13 11 6 2 2 5 8 8 7 8 11 11 11 9 8 9 9 9 8 7 7 7 8 9 8 8 7 6 7 8 9 9 9 8 7 7 8 10 11 11 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 7 9 10 10 10 9 8 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 11 12 12 12 10 9 7 5 4 4 4 5 5 6 6 6 6 6 6 7 7 8 9 9 9 9 nan
nan 9 10 11 11 12 12 13 13 13 13 13 13 13 13 14 13 13 13 13 14 14 14 15 15 15 14 13 13 12 12 12 12 12 11 10 9 9 9 9 9 9 9 10 9 9 8 7 7 8 9 10 11 12 11 7 3 1 4 7 10 11 10 10 11 10 10 9 9 10 10 9 8 8 7 8 8 8 8 8 6 5 5 5 6 6 6 6 5 6 7 9 10 11 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 7 8 10 11 11 10 8 7 6 7 8 8 8 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 8 9 9 10 10 10 10 10 10 10 11 11 11 11 10 8 6 5 5 5 5 5 5 4 4 5 6 6 7 8 9 9 9 8 8 nan
nan 9 9 10 10 11 12 12 13 13 14 14 15 15 15 15 15 15 14 14 13 13 14 14 15 15 14 13 12 12 12 12 12 12 11 10 9 9 9 9 9 10 10 10 10 9 8 7 7 9 9 10 11 11 10 6 4 4 7 11 14 13 12 12 11 10 9 8 8 10 10 10 10 9 8 8 8 9 9 7 5 4 4 4 5 5 6 6 6 6 7 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 10 12 12 11 9 8 7 7 8 9 8 8 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 8 8 9 9 9 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 7 6 4 3 3 4 6 7 8 8 8 8 7 7 7 nan
nan 8 9 9 10 11 12 12 13 13 14 15 16 16 16 16 15 15 14 13 13 12 13 14 14 14 13 12 11 12 12 11 11 11 11 10 9 9 9 9 9 10 10 11 11 10 9 8 9 10 10 11 11 10 9 6 6 8 10 13 14 13 11 10 9 8 8 7 8 9 10 11 10 9 9 9 9 10 9 7 4 4 4 5 6 6 7 7 8 8 8 8 8 8 7 7 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 7 7 8 10 11 11 9 8 7 7 7 8 9 8 8 7 7 7 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 8 8 8 9 9 9 9 9 9 9 8 9 9 10 10 10 9 8 6 6 6 7 8 8 8 8 7 7 7 6 6 nan
nan 8 9 10 10 11 12 12 13 14 14 15 15 15 15 14 14 14 13 13 12 12 12 13 13 13 12 11 10 10 11 11 10 10 10 10 10 9 9 9 8 8 9 10 11 11 10 10 11 11 11 11 11 10 8 7 7 10 11 12 11 10 9 8 7 6 6 7 9 9 10 11 11 10 9 10 11 11 9 6 4 4 5 6 7 7 7 8 8 9 9 9 8 7 7 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 9 11 10 9 7 7 7 7 8 8 9 8 8 7 7 7 7 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 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 9 9 10 10 10 10 9 8 7 7 7 7 7 7 7 nan
nan 8 9 10 11 12 12 13 13 14 13 12 12 12 12 12 12 12 12 12 12 11 12 12 13 12 11 10 9 10 10 10 10 10 10 10 10 9 9 8 8 7 8 9 10 10 10 11 12 13 13 12 11 10 8 7 8 11 11 11 10 10 9 8 7 6 6 8 9 10 12 12 12 11 10 12 12 10 8 5 4 5 6 7 7 7 7 8 8 9 9 9 8 8 8 8 9 8 8 8 7 7 6 7 7 8 8 8 8 8 8 8 9 10 11 9 7 7 7 7 8 8 9 9 8 8 7 7 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 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 9 8 8 9 10 10 10 10 8 7 7 8 9 9 8 8 8 nan
nan 9 10 11 12 12 13 14 14 13 12 10 9 9 10 10 11 11 12 12 12 12 13 13 12 11 10 9 9 10 10 10 9 9 10 10 9 9 8 8 7 7 8 9 9 10 10 11 13 14 14 13 11 10 9 8 10 11 11 11 10 10 9 8 7 6 6 8 9 11 11 11 10 9 10 10 9 7 5 3 3 5 6 7 7 7 7 7 8 9 9 8 8 8 8 9 9 9 8 7 7 6 6 7 8 8 8 8 8 8 8 9 9 10 9 8 8 8 8 9 9 9 9 9 8 8 8 7 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 9 8 9 9 9 8 8 7 7 7 7 8 8 8 8 8 8 8 9 9 8 8 8 8 7 8 9 10 10 10 9 8 8 nan
nan 10 11 11 12 13 14 14 14 13 11 9 7 7 8 9 10 11 11 12 12 13 13 13 12 10 9 8 8 9 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 9 9 10 12 13 13 12 11 10 10 11 11 12 11 11 10 8 8 8 7 7 7 8 9 10 10 9 7 7 7 6 4 2 1 1 3 5 7 7 7 7 7 7 8 8 8 8 8 8 8 9 10 10 9 7 7 6 7 8 8 8 8 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 7 8 8 9 10 10 9 8 8 8 nan
nan 11 11 12 13 13 14 14 14 14 12 10 8 7 8 9 10 10 11 12 13 13 14 14 12 10 8 7 8 9 10 10 10 10 9 9 8 8 8 8 8 9 8 8 8 8 8 9 10 11 12 11 10 10 11 12 12 12 12 11 9 6 5 7 8 9 9 9 9 8 7 7 6 6 5 2 0 -1 0 2 4 7 8 7 7 6 6 7 7 8 8 8 8 8 8 9 10 10 9 7 6 6 6 7 7 7 7 6 6 6 7 7 8 7 7 7 8 9 10 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 8 8 8 8 8 nan
nan 12 12 13 14 14 14 14 14 14 13 12 10 9 9 9 10 10 11 12 13 13 14 13 12 10 8 7 8 9 10 10 11 10 9 9 8 8 8 8 9 9 9 8 8 8 8 8 9 10 11 10 10 10 11 12 13 13 13 12 9 6 6 8 11 11 10 9 7 5 4 5 6 6 3 -0 -1 1 3 5 7 8 8 7 6 6 6 7 8 8 8 8 8 8 8 9 10 10 9 7 5 4 5 6 7 7 7 7 7 7 7 7 7 7 7 8 9 9 9 9 8 8 8 7 7 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 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 nan
nan 12 13 13 14 14 14 14 14 14 14 14 13 12 11 11 11 11 11 12 13 13 13 13 12 10 8 8 8 9 9 10 10 10 10 9 8 8 8 8 9 9 9 9 9 9 8 8 8 9 10 10 10 10 11 12 13 14 14 13 10 8 8 11 12 12 9 7 5 3 4 6 8 6 2 0 2 4 6 7 8 9 8 7 6 6 7 8 8 8 9 9 9 8 8 9 10 11 10 7 5 5 7 8 9 9 9 8 8 9 9 9 8 8 8 9 10 10 9 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 8 8 9 nan
nan 13 13 13 13 13 13 13 13 14 14 15 15 14 14 13 12 12 12 12 13 13 14 13 12 10 8 8 9 9 9 10 10 10 10 10 9 8 8 8 8 9 10 10 10 10 9 8 8 9 9 9 9 10 10 11 12 13 14 13 12 10 10 10 9 8 6 6 4 4 6 9 10 6 2 2 5 7 7 8 9 9 8 7 6 7 8 8 9 9 9 9 9 8 9 10 12 13 11 8 6 7 9 10 11 10 10 9 9 9 9 9 9 9 9 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 9 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 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 9 9 10 10 9 9 9 9 nan
nan 13 12 11 11 11 11 11 12 13 14 15 15 15 15 14 13 13 13 13 14 14 14 14 12 10 8 8 9 10 10 10 10 10 10 10 9 8 8 7 8 8 9 10 10 10 10 9 9 9 8 8 8 9 10 10 11 13 14 14 13 11 9 7 5 4 5 6 5 6 9 10 10 5 3 5 7 8 8 9 10 10 9 7 7 8 8 9 9 9 9 9 9 9 10 12 13 13 10 8 7 8 9 9 10 10 9 8 8 7 8 8 9 9 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 7 7 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 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 9 nan
nan 12 11 10 10 10 10 11 11 12 13 14 14 14 14 14 14 13 13 13 14 15 15 14 12 10 8 8 9 10 10 10 10 10 10 10 9 9 8 7 8 8 9 10 10 11 10 9 9 9 9 8 8 8 9 10 11 12 13 13 13 10 7 4 3 4 7 8 8 8 9 9 6 4 5 8 10 10 10 10 10 10 9 8 8 9 9 9 9 9 9 9 9 10 12 13 13 11 8 7 7 7 8 8 8 8 7 7 6 7 7 8 9 9 9 9 8 7 7 7 8 8 8 8 7 7 8 8 8 7 8 8 8 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 10 9 9 nan
nan 11 10 9 9 10 10 11 11 11 12 13 13 14 14 14 14 14 14 14 15 15 15 14 12 9 8 8 9 9 10 10 11 10 10 9 9 9 8 8 8 8 9 9 10 10 10 9 9 9 9 9 8 8 8 10 10 11 12 12 11 9 6 4 4 7 9 10 9 9 8 7 5 6 8 11 12 12 11 10 9 8 8 8 9 10 9 9 9 9 9 10 11 12 14 14 12 9 7 7 7 7 7 7 7 6 6 6 7 8 9 9 9 9 9 8 8 7 7 7 8 8 8 7 7 7 7 8 8 8 8 8 7 7 6 7 8 8 8 8 7 8 8 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 nan
nan 10 9 9 9 10 10 11 11 11 11 12 13 13 14 14 15 15 15 15 15 16 15 14 12 10 8 8 8 9 10 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 8 9 9 10 11 11 11 11 9 7 6 7 8 10 10 9 8 8 7 7 9 11 12 13 12 11 9 6 6 6 8 9 9 9 9 10 10 10 10 12 14 15 13 10 8 7 7 7 7 7 6 6 6 6 7 8 9 10 10 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 6 7 8 8 9 8 9 9 9 9 10 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 8 8 8 8 nan
nan 9 9 9 9 9 10 10 11 11 11 12 12 12 13 14 15 15 15 15 16 16 16 14 12 10 9 9 9 9 10 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 9 9 9 10 10 10 10 10 10 9 9 8 9 9 10 10 9 8 9 10 11 11 12 13 13 12 9 6 4 3 4 7 8 8 9 11 11 11 10 10 12 14 13 10 8 7 7 7 7 7 7 7 7 7 8 9 9 10 10 10 9 9 8 7 7 7 7 7 7 7 8 8 7 7 7 7 8 8 8 8 8 7 7 7 8 8 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 8 7 7 8 nan
nan 9 8 8 9 9 10 10 10 11 11 12 12 12 12 13 14 14 15 16 16 16 16 14 12 10 9 9 9 10 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 9 9 9 9 9 9 9 9 10 10 10 11 12 13 12 12 12 11 9 7 5 3 3 5 7 8 10 12 13 13 11 10 11 13 13 11 9 7 7 7 7 7 7 8 8 8 8 9 10 10 10 10 10 9 8 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 nan
nan 8 8 9 9 9 10 10 10 11 11 12 12 12 12 12 12 13 14 15 16 16 15 14 13 11 9 9 10 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 10 10 10 9 9 9 10 10 11 12 12 11 10 10 9 9 9 8 7 7 8 8 9 10 11 12 12 12 11 9 9 8 6 5 5 5 6 8 10 11 12 13 13 12 11 11 12 13 12 9 8 6 6 7 7 7 8 8 9 10 10 11 11 11 10 9 8 7 7 6 6 7 7 8 8 9 9 9 8 7 7 7 8 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 nan
nan 8 8 9 9 10 10 11 11 11 11 12 12 12 11 11 12 12 13 15 16 15 15 14 13 12 10 10 11 11 12 12 12 12 11 10 10 10 10 10 9 9 9 9 9 10 11 11 10 9 9 10 11 11 11 12 11 11 10 10 9 7 5 5 7 8 8 9 10 11 11 11 10 8 7 7 7 7 6 6 7 9 11 12 13 13 12 11 11 11 12 13 12 10 8 7 6 6 7 8 8 9 10 10 11 12 12 11 10 8 7 6 6 6 6 6 7 8 9 9 9 9 8 7 7 7 8 8 8 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 8 9 9 10 10 10 9 9 10 10 10 9 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 9 8 8 7 7 nan
nan 7 8 9 10 10 11 12 12 12 12 11 11 11 11 12 12 12 12 14 15 15 15 14 14 12 11 11 11 12 12 13 12 12 12 11 10 10 10 9 9 8 8 9 9 10 11 11 10 10 10 10 10 10 10 11 11 11 10 9 8 5 4 5 7 9 9 9 10 10 10 9 8 8 7 8 8 9 9 9 9 10 12 13 14 13 13 13 13 13 13 13 11 9 8 7 7 8 8 9 9 10 11 12 12 12 11 10 8 6 5 5 6 6 7 8 8 9 10 9 8 8 7 7 7 7 8 8 8 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 8 8 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 8 8 7 7 nan
nan 6 7 8 9 10 11 13 14 13 12 11 11 11 11 12 12 12 13 14 14 15 15 14 13 13 12 13 13 13 13 13 13 12 12 11 11 11 10 9 9 8 9 9 10 11 12 12 11 10 9 9 9 9 9 9 10 10 9 9 7 4 5 7 9 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 11 12 13 14 13 13 13 13 13 12 11 10 9 8 8 8 9 9 9 10 10 11 12 12 11 10 9 7 6 5 6 7 7 8 8 9 9 10 9 8 8 7 7 7 7 7 8 9 9 8 8 7 7 7 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 nan
nan 5 6 7 8 9 10 12 14 14 13 12 11 11 11 12 12 12 13 14 15 15 15 14 13 13 13 14 14 14 14 14 13 12 12 11 12 11 11 10 9 9 10 11 12 12 12 12 11 10 9 9 9 8 8 8 9 9 9 8 6 5 7 8 10 10 11 11 11 10 10 9 10 10 10 11 10 10 10 11 12 13 14 14 13 12 11 11 10 9 8 8 8 8 8 9 9 9 10 10 11 12 12 11 9 8 7 6 6 6 7 8 8 8 8 9 9 9 8 8 7 7 7 7 7 7 8 9 9 9 9 9 9 9 9 8 7 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 nan
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nan 12 12 11 11 11 12 12 12 13 13 13 13 13 14 14 13 13 12 11 10 10 11 11 12 12 12 12 11 10 10 9 9 9 9 9 9 9 9 9 9 8 7 7 8 9 10 10 9 9 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 9 9 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 8 8 9 9 9 10 10 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 8 7 7 6 6 7 7 7 8 9 11 12 14 14 12 11 10 9 9 9 10 11 11 11 11 10 10 10 10 10 9 8 6 7 7 8 8 10 10 9 9 7 5 4 3 4 6 7 7 7 9 12 15 15 14 13 11 10 10 10 10 10 10 10 10 10 11 12 nan
nan 13 12 12 11 11 11 12 12 12 12 13 13 13 13 13 12 11 10 10 9 9 10 11 12 12 12 12 11 11 10 9 9 9 8 8 8 8 8 8 8 7 7 8 9 10 10 9 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 9 8 7 6 6 6 7 7 8 9 11 12 13 13 11 11 10 10 9 10 10 11 11 11 10 10 10 11 11 11 10 8 8 9 10 9 9 10 9 7 6 4 2 1 3 5 6 7 6 7 9 12 14 15 14 12 11 10 10 10 10 10 10 10 10 11 11 12 nan
nan 14 14 14 13 12 12 11 12 12 12 11 12 12 12 11 11 10 9 9 9 9 10 10 11 11 11 11 11 10 9 9 8 8 7 7 8 8 8 8 9 9 10 10 11 10 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 10 10 9 9 9 9 9 9 8 8 8 8 8 9 10 10 10 10 10 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 9 9 10 10 9 9 8 7 6 6 7 7 7 9 10 12 13 12 11 11 10 10 10 10 10 10 11 10 10 10 10 11 11 10 9 8 9 10 10 10 11 11 10 8 6 4 3 4 5 6 6 6 6 7 9 11 12 13 12 11 11 11 11 11 11 11 11 10 10 11 11 11 nan
nan 15 14 14 14 13 13 12 12 11 11 11 11 12 11 11 10 10 9 8 8 9 9 9 10 10 10 10 10 10 9 8 8 8 8 8 9 9 9 10 10 11 12 12 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 9 10 11 10 10 10 10 9 9 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 9 8 7 7 6 6 7 7 8 10 11 11 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 9 8 8 8 9 10 12 13 14 14 12 10 8 7 7 7 7 7 6 6 7 7 8 9 9 10 11 12 12 12 11 11 11 11 11 10 10 10 10 9 nan
nan 13 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 7 7 8 9 9 10 10 10 10 10 10 9 9 9 9 9 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 9 8 7 7 7 7 7 7 8 9 9 9 9 9 9 9 9 9 9 10 11 11 11 10 10 9 9 8 8 8 9 11 12 14 15 15 13 11 9 8 8 7 7 6 6 6 7 7 8 8 8 8 10 12 13 13 12 11 11 11 11 10 9 8 7 6 7 nan
nan 10 9 9 9 9 10 10 11 11 11 11 11 11 12 12 13 13 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 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 8 8 7 7 8 8 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 9 9 8 7 7 7 7 7 8 8 8 8 9 9 9 9 9 8 8 9 10 11 11 10 10 10 9 9 9 9 10 11 12 13 13 13 12 10 8 6 6 6 6 6 6 6 7 7 8 8 8 8 9 11 13 14 13 12 11 11 10 9 7 4 2 1 2 6 nan
nan 9 9 9 9 9 9 10 11 11 11 12 12 13 14 14 15 15 14 14 14 14 13 13 12 12 12 11 11 11 11 11 11 11 11 10 10 9 9 10 10 10 10 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 8 7 7 7 8 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 7 7 7 7 8 8 8 8 8 9 10 11 11 10 9 9 10 10 9 9 9 9 9 9 9 9 10 10 10 11 11 10 10 9 7 5 4 4 5 6 6 6 7 7 8 8 8 8 8 9 10 12 14 14 13 11 9 7 5 2 -1 -3 -2 4 9 nan
nan 12 11 11 11 11 11 11 12 12 13 14 14 15 16 16 15 15 14 14 13 13 12 12 11 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 6 7 8 9 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 11 11 11 11 10 10 10 10 10 10 10 9 8 7 7 7 7 7 7 7 8 8 8 7 7 8 9 11 12 11 10 10 10 10 9 8 8 9 9 9 9 10 10 10 9 9 9 9 9 9 8 5 2 1 2 4 6 7 7 7 8 8 8 8 8 8 9 11 14 16 18 16 12 7 4 2 1 0 1 6 12 14 nan
nan 14 14 14 13 13 13 13 13 13 14 14 15 15 15 14 13 12 11 11 11 11 11 11 10 10 10 10 10 10 9 9 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 8 8 8 7 7 6 6 7 8 10 10 10 10 10 10 10 9 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 8 6 6 6 6 7 7 8 8 8 8 7 7 6 7 9 10 11 9 8 8 8 7 6 7 8 9 8 8 9 10 10 10 9 9 9 9 8 7 6 4 1 0 2 4 6 7 7 7 8 8 8 8 9 9 10 13 16 20 21 17 10 5 3 3 4 5 9 14 17 18 nan
nan 14 14 14 14 14 13 13 13 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 8 8 8 8 8 7 7 7 7 8 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 10 10 10 11 11 12 12 12 11 11 11 10 10 10 9 8 7 7 7 8 9 9 9 8 7 6 6 7 8 8 8 7 6 5 5 4 6 8 9 9 8 8 9 10 10 9 10 10 9 8 7 6 5 3 0 1 3 5 6 7 7 7 8 8 8 9 10 10 13 16 21 24 21 13 6 3 4 7 8 9 11 14 16 18 nan
nan 12 13 13 13 12 12 11 11 11 10 10 9 9 9 10 11 12 13 13 13 13 13 13 12 12 12 11 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 10 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 10 10 10 10 10 9 9 9 9 10 10 11 11 12 12 12 11 11 10 10 11 11 12 11 9 8 9 10 10 10 8 7 6 6 6 7 7 7 6 6 5 4 3 5 8 11 11 10 10 11 11 11 10 10 10 9 8 8 8 7 7 4 1 2 3 5 6 7 7 8 8 9 9 10 11 13 17 22 26 25 16 8 4 4 7 9 10 10 11 13 16 20 nan
nan 11 11 11 10 10 10 10 10 10 9 9 9 9 10 11 12 13 14 14 14 13 13 12 12 11 11 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 10 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 10 10 10 9 9 9 10 10 10 11 11 11 11 11 11 11 10 11 11 11 11 10 10 10 10 10 9 7 6 6 6 7 7 7 7 7 7 5 4 5 8 11 12 12 12 13 14 13 12 11 10 10 9 8 8 8 8 7 3 1 1 3 5 6 7 8 9 9 10 11 11 12 16 20 24 26 19 10 6 5 7 9 10 10 10 12 16 21 24 nan
nan 11 11 10 9 9 9 9 9 10 10 10 10 11 11 12 12 13 14 13 13 13 12 12 11 11 10 10 9 9 9 9 9 9 8 8 8 9 9 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 9 9 9 10 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 10 9 6 5 5 6 7 8 8 8 8 8 8 7 6 7 9 10 11 11 12 13 13 13 12 11 10 10 9 7 6 5 3 -0 -3 -3 -1 2 6 8 9 10 10 11 11 12 13 15 18 20 21 17 8 4 4 7 10 10 10 10 11 15 21 25 25 nan
nan 12 11 10 9 9 9 9 10 10 10 10 11 11 11 11 12 12 12 13 13 12 12 12 12 11 11 10 10 10 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 9 9 10 10 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 10 10 10 11 11 11 12 12 12 11 10 10 10 10 10 10 10 10 10 11 12 12 12 10 8 6 6 6 7 8 9 9 9 9 8 8 7 7 8 9 9 9 10 11 11 11 10 10 10 9 9 7 4 1 -1 -4 -6 -6 -3 0 5 8 10 10 11 12 12 14 15 17 18 19 18 16 10 5 5 7 9 10 10 10 12 16 21 26 28 25 nan
nan 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 13 13 12 12 12 11 10 9 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 7 7 7 7 7 8 9 10 10 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 12 11 9 8 8 8 9 9 9 9 9 9 9 8 8 8 8 9 9 9 10 12 13 12 11 10 9 8 6 4 2 -1 -3 -4 -4 -3 -0 3 6 9 11 11 12 13 14 15 18 21 23 23 22 19 15 11 9 9 10 10 10 11 13 17 23 28 30 27 22 nan
nan 12 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 10 10 11 11 12 12 13 13 13 13 12 11 10 9 8 8 7 7 7 8 8 8 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 7 6 6 7 8 9 9 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 9 9 10 10 11 11 10 9 9 10 11 11 11 10 10 10 9 8 8 8 8 9 10 10 10 12 14 15 14 12 10 6 3 0 -2 -3 -3 -2 -0 2 5 8 9 11 11 12 13 14 16 18 22 26 29 28 26 23 20 17 13 11 10 10 10 11 14 19 25 29 29 26 21 15 nan
nan 11 10 10 11 11 11 11 10 10 9 8 8 8 8 8 8 9 9 10 11 11 12 12 13 13 13 12 11 10 9 8 8 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 6 6 6 7 8 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 12 13 13 13 12 12 11 10 9 8 8 9 10 11 11 11 12 13 14 13 12 11 7 3 0 -1 -0 1 3 5 8 10 12 13 13 13 14 16 18 21 23 26 28 30 29 25 21 17 14 11 9 9 9 10 12 14 19 25 28 27 24 18 13 11 nan
nan 10 10 10 10 11 11 10 10 9 9 8 8 8 7 7 8 8 8 9 10 11 11 12 12 12 12 12 11 10 10 9 8 8 8 8 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 6 7 8 9 10 11 11 11 10 10 10 10 10 9 9 9 9 9 10 9 9 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 9 9 9 9 9 9 10 10 10 10 10 11 12 13 13 13 13 13 13 11 9 8 9 11 12 13 13 13 13 13 14 14 14 14 12 8 6 6 8 10 12 13 15 17 18 18 17 16 17 19 22 24 25 26 26 25 22 17 13 10 8 5 4 6 9 12 14 17 20 25 27 25 21 16 12 11 11 nan
nan 10 10 10 10 10 10 10 10 9 9 9 9 8 7 7 8 8 8 9 10 11 11 11 12 12 12 12 11 11 10 10 9 9 9 10 10 11 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 7 6 7 7 8 9 10 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 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 9 9 9 10 10 10 10 10 10 10 11 11 11 11 10 11 12 11 9 8 10 13 15 17 16 15 15 15 16 17 19 21 21 19 16 16 17 19 20 20 21 21 22 21 18 15 14 16 18 19 18 17 16 14 11 8 6 6 7 8 8 11 14 17 19 21 23 26 27 24 19 15 11 10 11 11 nan
nan 10 10 10 11 10 10 10 10 10 10 10 9 9 8 8 9 9 9 9 10 11 11 12 12 12 11 11 11 11 11 10 10 10 10 10 11 11 10 10 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 8 10 11 11 12 11 11 10 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 10 10 10 10 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 10 10 9 9 9 9 9 9 9 10 13 16 17 18 17 16 17 18 19 22 23 24 24 22 21 21 21 21 21 21 21 19 17 13 8 6 7 11 13 13 11 11 10 9 8 8 11 14 17 17 18 20 22 23 23 24 24 24 21 17 14 11 10 11 11 11 nan
nan 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 9 10 11 12 12 11 11 10 9 8 8 8 8 9 9 9 9 9 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 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 9 11 13 14 15 15 14 14 15 17 19 20 20 20 19 18 18 17 17 17 17 16 15 12 9 7 5 7 11 15 18 18 18 18 18 17 18 20 23 24 23 20 19 19 19 19 19 19 18 17 14 12 11 10 11 11 10 9 nan
nan 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 9 9 9 8 7 7 8 8 9 9 9 10 11 11 11 11 10 10 9 9 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 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 10 10 10 10 10 10 10 10 10 10 9 9 8 7 7 7 8 9 11 12 12 12 12 11 12 12 13 14 15 15 15 14 13 13 12 12 12 12 11 10 9 10 12 15 18 22 24 25 25 24 23 23 23 24 24 24 21 18 15 14 13 13 13 13 13 12 11 11 10 10 11 11 10 10 8 nan
nan 10 10 10 10 10 11 11 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 11 11 11 11 10 9 9 9 8 8 8 8 8 8 9 9 9 9 10 10 10 10 9 9 8 8 8 8 8 9 10 9 9 8 8 8 8 8 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 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 7 5 4 3 4 6 8 9 10 11 11 11 10 10 10 10 10 11 12 12 11 10 8 8 8 9 10 10 10 10 12 14 16 19 21 23 23 23 22 20 18 18 18 18 17 15 13 12 11 11 11 11 11 11 10 10 10 11 11 11 11 10 10 10 9 nan
nan 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 10 10 11 11 11 11 11 10 9 8 8 8 7 7 8 8 9 9 9 9 10 10 9 9 9 9 9 9 9 9 8 8 9 10 11 11 10 10 10 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 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 9 7 4 1 -1 -3 -2 1 3 6 7 8 9 9 9 9 9 9 9 10 11 11 10 6 3 2 4 7 10 11 11 11 11 12 13 14 15 16 16 16 15 14 13 12 12 12 12 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 11 nan
nan 11 12 12 12 12 12 12 11 11 10 10 10 10 9 9 9 9 10 10 10 10 11 11 10 10 10 10 10 10 11 11 11 11 10 10 9 8 7 7 7 8 8 9 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 9 9 9 9 10 10 11 11 11 10 10 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 10 11 10 10 10 9 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 5 1 -3 -5 -5 -4 -2 1 3 4 4 5 5 6 7 6 5 5 6 8 9 8 5 -2 -4 -0 5 10 13 13 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 nan
nan 12 12 13 13 13 12 11 11 11 11 10 10 9 9 9 9 10 10 11 11 11 11 11 10 10 10 10 10 10 11 11 11 10 10 9 8 8 8 8 8 9 9 10 10 10 10 10 10 10 9 9 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 9 9 9 9 10 10 10 10 10 10 10 10 9 8 7 6 6 6 6 6 6 7 7 8 8 8 9 9 10 9 9 9 9 9 9 9 9 8 8 6 3 -1 -5 -6 -5 -2 1 4 5 6 5 5 5 5 4 3 1 -0 -0 2 5 6 4 -1 -6 -3 3 10 17 18 16 14 13 12 12 12 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 11 nan
nan 12 12 12 12 12 12 11 11 11 11 11 10 10 9 9 10 10 10 11 10 10 10 10 10 10 10 9 9 10 10 10 10 10 9 8 8 8 8 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 7 7 7 8 9 9 9 9 8 8 8 8 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 9 9 9 8 8 7 6 6 6 6 6 5 5 4 4 5 6 7 8 8 9 9 9 9 8 8 7 6 5 3 1 -2 -4 -5 -3 1 4 7 8 8 8 8 8 8 7 6 4 1 0 1 4 5 4 2 -2 -2 4 11 19 23 21 18 15 13 12 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 nan
nan 12 12 11 11 11 11 11 12 12 12 11 11 10 10 10 10 10 10 10 10 9 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 9 10 11 11 10 10 9 9 9 8 8 8 8 9 8 8 7 6 7 7 8 8 9 9 9 9 8 8 8 8 9 9 9 10 10 10 10 11 11 10 10 10 10 9 9 8 7 7 7 6 6 6 6 6 6 7 8 8 8 7 6 4 3 3 4 5 6 7 8 9 9 9 8 6 4 3 1 -0 -1 -2 -1 1 4 7 8 9 9 9 10 10 10 10 9 9 8 7 7 8 9 9 7 5 4 8 14 20 26 26 22 18 14 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 nan
nan 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 10 11 12 11 11 10 9 9 7 7 7 7 7 7 7 7 6 7 8 8 9 9 9 10 10 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 10 9 7 6 5 4 4 4 5 6 7 8 9 9 9 8 7 7 6 5 5 5 6 7 8 9 9 8 7 6 5 4 3 4 4 5 7 8 9 9 10 10 10 10 10 10 11 11 11 11 11 12 12 12 11 11 10 11 15 19 24 25 22 19 15 13 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 11 31 68 133 239 383 567 742 887 1021 1144 1239 1270 1202 1118 1125 1145 1165 1188 1222 1291 1435 1640 1834 1896 1815 1658 1496 1322 1114 917 753 632 556 513 470 367 257 160 82 28 3 5 19 39 56 48 34 29 27 26 15 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 24 57 109 191 311 471 659 802 912 1044 1177 1266 1269 1166 1090 1073 1076 1088 1115 1173 1279 1450 1652 1807 1841 1753 1598 1436 1261 1059 881 735 625 539 451 335 198 99 42 14 3 0 0 0 0 4 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 38 83 152 256 405 596 797 883 949 1087 1219 1279 1252 1129 1039 1004 1001 1023 1069 1148 1279 1466 1640 1763 1779 1685 1527 1360 1193 1005 846 714 604 495 362 212 92 30 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 45 102 192 321 495 703 913 973 1012 1134 1250 1291 1252 1136 1022 968 970 1007 1072 1178 1334 1514 1650 1722 1693 1571 1396 1219 1058 899 761 645 537 415 266 118 35 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 9 48 128 254 423 632 851 999 1047 1090 1186 1276 1312 1282 1192 1066 993 1004 1059 1146 1273 1429 1557 1635 1643 1556 1396 1210 1039 887 748 631 530 425 302 166 53 10 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 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 13 63 182 367 581 809 1013 1088 1125 1171 1248 1324 1362 1342 1265 1153 1080 1092 1154 1249 1368 1490 1550 1553 1511 1379 1189 998 837 699 589 496 402 295 179 76 14 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 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 23 105 297 535 777 966 1075 1134 1185 1242 1313 1382 1420 1402 1324 1237 1196 1202 1238 1302 1383 1449 1434 1381 1315 1168 977 803 663 555 472 382 276 167 78 22 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
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